id	sid	tid	token	lemma	pos
ejpam-6237	1	1	european	european	PROPN
ejpam-6237	1	2	journal	journal	PROPN
ejpam-6237	1	3	of	of	ADP
ejpam-6237	1	4	pure	pure	ADJ
ejpam-6237	1	5	and	and	CCONJ
ejpam-6237	1	6	applied	applied	ADJ
ejpam-6237	1	7	mathematics	mathematic	NOUN
ejpam-6237	1	8	2025	2025	NUM
ejpam-6237	1	9	,	,	PUNCT
ejpam-6237	1	10	vol	vol	NOUN
ejpam-6237	1	11	.	.	PROPN
ejpam-6237	1	12	18	18	NUM
ejpam-6237	1	13	,	,	PUNCT
ejpam-6237	1	14	issue	issue	NOUN
ejpam-6237	1	15	3	3	NUM
ejpam-6237	1	16	,	,	PUNCT
ejpam-6237	1	17	article	article	NOUN
ejpam-6237	1	18	number	number	NOUN
ejpam-6237	1	19	6237	6237	NUM
ejpam-6237	1	20	issn	issn	PROPN
ejpam-6237	1	21	1307	1307	NUM
ejpam-6237	1	22	-	-	SYM
ejpam-6237	1	23	5543	5543	NUM
ejpam-6237	1	24	–	–	PUNCT
ejpam-6237	1	25	ejpam.com	ejpam.com	X
ejpam-6237	1	26	published	publish	VERB
ejpam-6237	1	27	by	by	ADP
ejpam-6237	1	28	new	new	PROPN
ejpam-6237	1	29	york	york	PROPN
ejpam-6237	1	30	business	business	PROPN
ejpam-6237	1	31	global	global	ADJ
ejpam-6237	1	32	mean	mean	ADJ
ejpam-6237	1	33	-	-	PUNCT
ejpam-6237	1	34	driven	drive	VERB
ejpam-6237	1	35	accuracy	accuracy	NOUN
ejpam-6237	1	36	:	:	PUNCT
ejpam-6237	1	37	a	a	DET
ejpam-6237	1	38	contraharmonic	contraharmonic	ADJ
ejpam-6237	1	39	and	and	CCONJ
ejpam-6237	1	40	centroidal	centroidal	ADJ
ejpam-6237	1	41	extension	extension	NOUN
ejpam-6237	1	42	of	of	ADP
ejpam-6237	1	43	heun	heun	PROPN
ejpam-6237	1	44	’s	’s	PART
ejpam-6237	1	45	method	method	PROPN
ejpam-6237	1	46	syamsudhuha	syamsudhuha	NOUN
ejpam-6237	1	47	syamsudhuha1,∗	syamsudhuha1,∗	NOUN
ejpam-6237	1	48	,	,	PUNCT
ejpam-6237	1	49	m	m	VERB
ejpam-6237	1	50	imran1	imran1	NOUN
ejpam-6237	1	51	,	,	PUNCT
ejpam-6237	1	52	ayunda	ayunda	ADP
ejpam-6237	1	53	putri1	putri1	NOUN
ejpam-6237	1	54	,	,	PUNCT
ejpam-6237	1	55	rike	rike	VERB
ejpam-6237	1	56	marjulisa1	marjulisa1	NOUN
ejpam-6237	1	57	1department	1department	NUM
ejpam-6237	1	58	of	of	ADP
ejpam-6237	1	59	mathematics	mathematic	NOUN
ejpam-6237	1	60	,	,	PUNCT
ejpam-6237	1	61	faculty	faculty	NOUN
ejpam-6237	1	62	of	of	ADP
ejpam-6237	1	63	mathematics	mathematic	NOUN
ejpam-6237	1	64	and	and	CCONJ
ejpam-6237	1	65	natural	natural	ADJ
ejpam-6237	1	66	sciences	science	NOUN
ejpam-6237	1	67	,	,	PUNCT
ejpam-6237	1	68	university	university	NOUN
ejpam-6237	1	69	of	of	ADP
ejpam-6237	1	70	riau	riau	PROPN
ejpam-6237	1	71	,	,	PUNCT
ejpam-6237	1	72	pekanbaru	pekanbaru	NOUN
ejpam-6237	1	73	28293	28293	NUM
ejpam-6237	1	74	,	,	PUNCT
ejpam-6237	1	75	riau	riau	PROPN
ejpam-6237	1	76	province	province	PROPN
ejpam-6237	1	77	,	,	PUNCT
ejpam-6237	1	78	indonesia	indonesia	PROPN
ejpam-6237	1	79	abstract	abstract	NOUN
ejpam-6237	1	80	.	.	PUNCT
ejpam-6237	2	1	this	this	DET
ejpam-6237	2	2	paper	paper	NOUN
ejpam-6237	2	3	presents	present	VERB
ejpam-6237	2	4	a	a	DET
ejpam-6237	2	5	novel	novel	ADJ
ejpam-6237	2	6	modification	modification	NOUN
ejpam-6237	2	7	of	of	ADP
ejpam-6237	2	8	heun	heun	PROPN
ejpam-6237	2	9	’s	’s	PART
ejpam-6237	2	10	method	method	NOUN
ejpam-6237	2	11	for	for	ADP
ejpam-6237	2	12	solving	solve	VERB
ejpam-6237	2	13	initial	initial	ADJ
ejpam-6237	2	14	value	value	NOUN
ejpam-6237	2	15	problems	problem	NOUN
ejpam-6237	2	16	in	in	ADP
ejpam-6237	2	17	ordinary	ordinary	ADJ
ejpam-6237	2	18	differential	differential	ADJ
ejpam-6237	2	19	equations	equation	NOUN
ejpam-6237	2	20	(	(	PUNCT
ejpam-6237	2	21	odes	ode	NOUN
ejpam-6237	2	22	)	)	PUNCT
ejpam-6237	2	23	by	by	ADP
ejpam-6237	2	24	incorporating	incorporate	VERB
ejpam-6237	2	25	contraharmonic	contraharmonic	ADJ
ejpam-6237	2	26	and	and	CCONJ
ejpam-6237	2	27	centroidal	centroidal	PROPN
ejpam-6237	2	28	means	mean	NOUN
ejpam-6237	2	29	into	into	ADP
ejpam-6237	2	30	the	the	DET
ejpam-6237	2	31	corrector	corrector	NOUN
ejpam-6237	2	32	step	step	NOUN
ejpam-6237	2	33	.	.	PUNCT
ejpam-6237	3	1	unlike	unlike	ADP
ejpam-6237	3	2	traditional	traditional	ADJ
ejpam-6237	3	3	heun	heun	NOUN
ejpam-6237	3	4	’s	’s	PART
ejpam-6237	3	5	method	method	NOUN
ejpam-6237	3	6	,	,	PUNCT
ejpam-6237	3	7	which	which	PRON
ejpam-6237	3	8	relies	rely	VERB
ejpam-6237	3	9	on	on	ADP
ejpam-6237	3	10	the	the	DET
ejpam-6237	3	11	arithmetic	arithmetic	ADJ
ejpam-6237	3	12	means	mean	NOUN
ejpam-6237	3	13	to	to	PART
ejpam-6237	3	14	average	average	VERB
ejpam-6237	3	15	the	the	DET
ejpam-6237	3	16	slopes	slope	NOUN
ejpam-6237	3	17	,	,	PUNCT
ejpam-6237	3	18	our	our	PRON
ejpam-6237	3	19	approach	approach	NOUN
ejpam-6237	3	20	generalizes	generalize	VERB
ejpam-6237	3	21	this	this	DET
ejpam-6237	3	22	averaging	averaging	NOUN
ejpam-6237	3	23	using	use	VERB
ejpam-6237	3	24	nonlinear	nonlinear	ADJ
ejpam-6237	3	25	means	mean	NOUN
ejpam-6237	3	26	that	that	SCONJ
ejpam-6237	3	27	better	well	ADJ
ejpam-6237	3	28	capture	capture	VERB
ejpam-6237	3	29	the	the	DET
ejpam-6237	3	30	curvature	curvature	NOUN
ejpam-6237	3	31	and	and	CCONJ
ejpam-6237	3	32	dynamics	dynamic	NOUN
ejpam-6237	3	33	of	of	ADP
ejpam-6237	3	34	the	the	DET
ejpam-6237	3	35	solution	solution	NOUN
ejpam-6237	3	36	trajectory	trajectory	NOUN
ejpam-6237	3	37	.	.	PUNCT
ejpam-6237	4	1	numerical	numerical	PROPN
ejpam-6237	4	2	simulations	simulation	NOUN
ejpam-6237	4	3	demonstrate	demonstrate	VERB
ejpam-6237	4	4	that	that	SCONJ
ejpam-6237	4	5	the	the	DET
ejpam-6237	4	6	proposed	propose	VERB
ejpam-6237	4	7	method	method	NOUN
ejpam-6237	4	8	offers	offer	VERB
ejpam-6237	4	9	improved	improved	ADJ
ejpam-6237	4	10	accuracy	accuracy	NOUN
ejpam-6237	4	11	and	and	CCONJ
ejpam-6237	4	12	enhanced	enhanced	ADJ
ejpam-6237	4	13	stability	stability	NOUN
ejpam-6237	4	14	,	,	PUNCT
ejpam-6237	4	15	particularly	particularly	ADV
ejpam-6237	4	16	in	in	ADP
ejpam-6237	4	17	stiff	stiff	ADJ
ejpam-6237	4	18	or	or	CCONJ
ejpam-6237	4	19	rapidly	rapidly	ADV
ejpam-6237	4	20	changing	change	VERB
ejpam-6237	4	21	systems	system	NOUN
ejpam-6237	4	22	.	.	PUNCT
ejpam-6237	5	1	applications	application	NOUN
ejpam-6237	5	2	include	include	VERB
ejpam-6237	5	3	newton	newton	PROPN
ejpam-6237	5	4	’s	’s	PART
ejpam-6237	5	5	law	law	NOUN
ejpam-6237	5	6	of	of	ADP
ejpam-6237	5	7	cooling	cool	VERB
ejpam-6237	5	8	under	under	ADP
ejpam-6237	5	9	standard	standard	ADJ
ejpam-6237	5	10	and	and	CCONJ
ejpam-6237	5	11	extreme	extreme	ADJ
ejpam-6237	5	12	thermal	thermal	ADJ
ejpam-6237	5	13	conditions	condition	NOUN
ejpam-6237	5	14	,	,	PUNCT
ejpam-6237	5	15	where	where	SCONJ
ejpam-6237	5	16	our	our	PRON
ejpam-6237	5	17	method	method	NOUN
ejpam-6237	5	18	consistently	consistently	ADV
ejpam-6237	5	19	maintains	maintain	VERB
ejpam-6237	5	20	accuracy	accuracy	NOUN
ejpam-6237	5	21	and	and	CCONJ
ejpam-6237	5	22	robustness	robustness	NOUN
ejpam-6237	5	23	.	.	PUNCT
ejpam-6237	6	1	the	the	DET
ejpam-6237	6	2	results	result	NOUN
ejpam-6237	6	3	suggest	suggest	VERB
ejpam-6237	6	4	that	that	SCONJ
ejpam-6237	6	5	contraharmonic	contraharmonic	NOUN
ejpam-6237	6	6	and	and	CCONJ
ejpam-6237	6	7	centroidal	centroidal	PROPN
ejpam-6237	6	8	means	mean	NOUN
ejpam-6237	6	9	provide	provide	VERB
ejpam-6237	6	10	a	a	DET
ejpam-6237	6	11	viable	viable	ADJ
ejpam-6237	6	12	and	and	CCONJ
ejpam-6237	6	13	efficient	efficient	ADJ
ejpam-6237	6	14	alternative	alternative	NOUN
ejpam-6237	6	15	to	to	ADP
ejpam-6237	6	16	conventional	conventional	ADJ
ejpam-6237	6	17	averaging	averaging	NOUN
ejpam-6237	6	18	strategies	strategy	NOUN
ejpam-6237	6	19	in	in	ADP
ejpam-6237	6	20	explicit	explicit	ADJ
ejpam-6237	6	21	predictor	predictor	NOUN
ejpam-6237	6	22	–	–	PUNCT
ejpam-6237	6	23	corrector	corrector	NOUN
ejpam-6237	6	24	methods	method	NOUN
ejpam-6237	6	25	.	.	PUNCT
ejpam-6237	7	1	2020	2020	NUM
ejpam-6237	7	2	mathematics	mathematic	NOUN
ejpam-6237	7	3	subject	subject	NOUN
ejpam-6237	7	4	classifications	classification	NOUN
ejpam-6237	7	5	:	:	PUNCT
ejpam-6237	7	6	65l04	65l04	NUM
ejpam-6237	7	7	,	,	PUNCT
ejpam-6237	7	8	65l05	65l05	NUM
ejpam-6237	7	9	,	,	PUNCT
ejpam-6237	7	10	65l20	65l20	NUM
ejpam-6237	7	11	key	key	ADJ
ejpam-6237	7	12	words	word	NOUN
ejpam-6237	7	13	and	and	CCONJ
ejpam-6237	7	14	phrases	phrase	NOUN
ejpam-6237	7	15	:	:	PUNCT
ejpam-6237	7	16	initial	initial	ADJ
ejpam-6237	7	17	value	value	NOUN
ejpam-6237	7	18	problems	problem	NOUN
ejpam-6237	7	19	,	,	PUNCT
ejpam-6237	7	20	heun	heun	PROPN
ejpam-6237	7	21	’s	’s	PART
ejpam-6237	7	22	method	method	NOUN
ejpam-6237	7	23	,	,	PUNCT
ejpam-6237	7	24	contraharmonic	contraharmonic	NOUN
ejpam-6237	7	25	mean	mean	NOUN
ejpam-6237	7	26	,	,	PUNCT
ejpam-6237	7	27	centroidal	centroidal	ADJ
ejpam-6237	7	28	mean	mean	NOUN
ejpam-6237	7	29	1	1	NUM
ejpam-6237	7	30	.	.	PUNCT
ejpam-6237	7	31	introduction	introduction	NOUN
ejpam-6237	7	32	differential	differential	NOUN
ejpam-6237	7	33	equations	equation	NOUN
ejpam-6237	7	34	,	,	PUNCT
ejpam-6237	7	35	particularly	particularly	ADV
ejpam-6237	7	36	those	those	PRON
ejpam-6237	7	37	describing	describe	VERB
ejpam-6237	7	38	initial	initial	ADJ
ejpam-6237	7	39	value	value	NOUN
ejpam-6237	7	40	problems	problem	NOUN
ejpam-6237	7	41	(	(	PUNCT
ejpam-6237	7	42	ivps	ivps	PROPN
ejpam-6237	7	43	)	)	PUNCT
ejpam-6237	7	44	,	,	PUNCT
ejpam-6237	7	45	y′	y′	X
ejpam-6237	7	46	=	=	SYM
ejpam-6237	7	47	f(x	f(x	PROPN
ejpam-6237	7	48	,	,	PUNCT
ejpam-6237	7	49	y	y	NOUN
ejpam-6237	7	50	)	)	PUNCT
ejpam-6237	7	51	y(x0	y(x0	NOUN
ejpam-6237	7	52	)	)	PUNCT
ejpam-6237	7	53	=	=	SYM
ejpam-6237	7	54	y0	y0	NOUN
ejpam-6237	7	55	,	,	PUNCT
ejpam-6237	7	56	(	(	PUNCT
ejpam-6237	7	57	1	1	X
ejpam-6237	7	58	)	)	PUNCT
ejpam-6237	7	59	are	be	AUX
ejpam-6237	7	60	fundamental	fundamental	ADJ
ejpam-6237	7	61	tools	tool	NOUN
ejpam-6237	7	62	in	in	ADP
ejpam-6237	7	63	modeling	model	VERB
ejpam-6237	7	64	dynamic	dynamic	ADJ
ejpam-6237	7	65	systems	system	NOUN
ejpam-6237	7	66	across	across	ADP
ejpam-6237	7	67	a	a	DET
ejpam-6237	7	68	wide	wide	ADJ
ejpam-6237	7	69	array	array	NOUN
ejpam-6237	7	70	of	of	ADP
ejpam-6237	7	71	scientific	scientific	ADJ
ejpam-6237	7	72	and	and	CCONJ
ejpam-6237	7	73	engineering	engineering	NOUN
ejpam-6237	7	74	disciplines	discipline	NOUN
ejpam-6237	7	75	.	.	PUNCT
ejpam-6237	8	1	these	these	DET
ejpam-6237	8	2	equations	equation	NOUN
ejpam-6237	8	3	express	express	VERB
ejpam-6237	8	4	the	the	DET
ejpam-6237	8	5	relationships	relationship	NOUN
ejpam-6237	8	6	between	between	ADP
ejpam-6237	8	7	functions	function	NOUN
ejpam-6237	8	8	and	and	CCONJ
ejpam-6237	8	9	their	their	PRON
ejpam-6237	8	10	derivatives	derivative	NOUN
ejpam-6237	8	11	,	,	PUNCT
ejpam-6237	8	12	serving	serve	VERB
ejpam-6237	8	13	as	as	ADP
ejpam-6237	8	14	a	a	DET
ejpam-6237	8	15	mathematical	mathematical	ADJ
ejpam-6237	8	16	framework	framework	NOUN
ejpam-6237	8	17	for	for	ADP
ejpam-6237	8	18	analyzing	analyze	VERB
ejpam-6237	8	19	processes	process	NOUN
ejpam-6237	8	20	that	that	PRON
ejpam-6237	8	21	evolve	evolve	VERB
ejpam-6237	8	22	over	over	ADP
ejpam-6237	8	23	time	time	NOUN
ejpam-6237	8	24	.	.	PUNCT
ejpam-6237	9	1	from	from	ADP
ejpam-6237	9	2	fluid	fluid	ADJ
ejpam-6237	9	3	dynamics	dynamic	NOUN
ejpam-6237	9	4	and	and	CCONJ
ejpam-6237	9	5	population	population	NOUN
ejpam-6237	9	6	models	model	NOUN
ejpam-6237	9	7	in	in	ADP
ejpam-6237	9	8	biology	biology	NOUN
ejpam-6237	9	9	to	to	ADP
ejpam-6237	9	10	electrical	electrical	ADJ
ejpam-6237	9	11	circuits	circuit	NOUN
ejpam-6237	9	12	∗corresponding	∗corresponde	VERB
ejpam-6237	9	13	author	author	NOUN
ejpam-6237	9	14	.	.	PUNCT
ejpam-6237	10	1	doi	doi	NOUN
ejpam-6237	10	2	:	:	PUNCT
ejpam-6237	10	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6237	https://doi.org/10.29020/nybg.ejpam.v18i3.6237	PROPN
ejpam-6237	10	4	email	email	NOUN
ejpam-6237	10	5	addresses	address	NOUN
ejpam-6237	10	6	:	:	PUNCT
ejpam-6237	10	7	syamsudhuha@unri.ac.id	syamsudhuha@unri.ac.id	PROPN
ejpam-6237	10	8	(	(	PUNCT
ejpam-6237	10	9	s.	s.	PROPN
ejpam-6237	10	10	syamsudhuha	syamsudhuha	PROPN
ejpam-6237	10	11	)	)	PUNCT
ejpam-6237	10	12	,	,	PUNCT
ejpam-6237	10	13	mimran@unri.ac.id	mimran@unri.ac.id	NOUN
ejpam-6237	10	14	(	(	PUNCT
ejpam-6237	10	15	m	m	NOUN
ejpam-6237	10	16	imran)ayundaputri@lecturer.unri.ac.id	imran)ayundaputri@lecturer.unri.ac.id	NOUN
ejpam-6237	10	17	(	(	PUNCT
ejpam-6237	10	18	a.	a.	NOUN
ejpam-6237	10	19	putri	putri	PROPN
ejpam-6237	10	20	)	)	PUNCT
ejpam-6237	10	21	rikemarjulisa@lecturer.unri.ac.id	rikemarjulisa@lecturer.unri.ac.id	NOUN
ejpam-6237	10	22	(	(	PUNCT
ejpam-6237	10	23	r.	r.	PROPN
ejpam-6237	10	24	marjulisa	marjulisa	PROPN
ejpam-6237	10	25	)	)	PUNCT
ejpam-6237	10	26	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6237	11	1	1	1	NUM
ejpam-6237	11	2	copyright	copyright	NOUN
ejpam-6237	11	3	:	:	PUNCT
ejpam-6237	11	4	©	©	PROPN
ejpam-6237	11	5	2025	2025	NUM
ejpam-6237	11	6	the	the	DET
ejpam-6237	11	7	author(s	author(s	NOUN
ejpam-6237	11	8	)	)	PUNCT
ejpam-6237	11	9	.	.	PUNCT
ejpam-6237	12	1	(	(	PUNCT
ejpam-6237	12	2	cc	cc	NOUN
ejpam-6237	12	3	by	by	ADP
ejpam-6237	12	4	-	-	PUNCT
ejpam-6237	12	5	nc	nc	PROPN
ejpam-6237	12	6	4.0	4.0	NUM
ejpam-6237	12	7	)	)	PUNCT
ejpam-6237	12	8	syamsudhuha	syamsudhuha	NOUN
ejpam-6237	12	9	et	et	PROPN
ejpam-6237	12	10	al	al	PROPN
ejpam-6237	12	11	.	.	PUNCT
ejpam-6237	12	12	/	/	SYM
ejpam-6237	12	13	eur	eur	PROPN
ejpam-6237	12	14	.	.	PUNCT
ejpam-6237	13	1	j.	j.	PROPN
ejpam-6237	13	2	pure	pure	PROPN
ejpam-6237	13	3	appl	appl	PROPN
ejpam-6237	13	4	.	.	PROPN
ejpam-6237	13	5	math	math	PROPN
ejpam-6237	13	6	,	,	PUNCT
ejpam-6237	13	7	18	18	NUM
ejpam-6237	13	8	(	(	PUNCT
ejpam-6237	13	9	3	3	NUM
ejpam-6237	13	10	)	)	PUNCT
ejpam-6237	13	11	(	(	PUNCT
ejpam-6237	13	12	2025	2025	NUM
ejpam-6237	13	13	)	)	PUNCT
ejpam-6237	13	14	,	,	PUNCT
ejpam-6237	13	15	6237	6237	NUM
ejpam-6237	13	16	2	2	NUM
ejpam-6237	13	17	of	of	ADP
ejpam-6237	13	18	15	15	NUM
ejpam-6237	13	19	and	and	CCONJ
ejpam-6237	13	20	modeling	model	VERB
ejpam-6237	13	21	water	water	NOUN
ejpam-6237	13	22	storage	storage	NOUN
ejpam-6237	13	23	and	and	CCONJ
ejpam-6237	13	24	hydrology	hydrology	NOUN
ejpam-6237	13	25	,	,	PUNCT
ejpam-6237	13	26	ivps	ivps	PROPN
ejpam-6237	13	27	are	be	AUX
ejpam-6237	13	28	crucial	crucial	ADJ
ejpam-6237	13	29	in	in	ADP
ejpam-6237	13	30	understanding	understand	VERB
ejpam-6237	13	31	real	real	ADJ
ejpam-6237	13	32	-	-	PUNCT
ejpam-6237	13	33	world	world	NOUN
ejpam-6237	13	34	phenomena	phenomenon	NOUN
ejpam-6237	13	35	.	.	PUNCT
ejpam-6237	14	1	solving	solve	VERB
ejpam-6237	14	2	initial	initial	ADJ
ejpam-6237	14	3	value	value	NOUN
ejpam-6237	14	4	problems	problem	NOUN
ejpam-6237	14	5	analytically	analytically	ADV
ejpam-6237	14	6	is	be	AUX
ejpam-6237	14	7	often	often	ADV
ejpam-6237	14	8	impractical	impractical	ADJ
ejpam-6237	14	9	due	due	ADJ
ejpam-6237	14	10	to	to	ADP
ejpam-6237	14	11	the	the	DET
ejpam-6237	14	12	complexity	complexity	NOUN
ejpam-6237	14	13	of	of	ADP
ejpam-6237	14	14	the	the	DET
ejpam-6237	14	15	underlying	underlying	ADJ
ejpam-6237	14	16	differential	differential	ADJ
ejpam-6237	14	17	equations	equation	NOUN
ejpam-6237	14	18	.	.	PUNCT
ejpam-6237	15	1	this	this	PRON
ejpam-6237	15	2	has	have	AUX
ejpam-6237	15	3	driven	drive	VERB
ejpam-6237	15	4	the	the	DET
ejpam-6237	15	5	development	development	NOUN
ejpam-6237	15	6	of	of	ADP
ejpam-6237	15	7	various	various	ADJ
ejpam-6237	15	8	numerical	numerical	ADJ
ejpam-6237	15	9	methods	method	NOUN
ejpam-6237	15	10	that	that	PRON
ejpam-6237	15	11	approximate	approximate	ADJ
ejpam-6237	15	12	solutions	solution	NOUN
ejpam-6237	15	13	by	by	ADP
ejpam-6237	15	14	discretizing	discretize	VERB
ejpam-6237	15	15	the	the	DET
ejpam-6237	15	16	problem	problem	NOUN
ejpam-6237	15	17	over	over	ADP
ejpam-6237	15	18	a	a	DET
ejpam-6237	15	19	finite	finite	NOUN
ejpam-6237	15	20	set	set	NOUN
ejpam-6237	15	21	of	of	ADP
ejpam-6237	15	22	points	point	NOUN
ejpam-6237	15	23	.	.	PUNCT
ejpam-6237	16	1	numerical	numerical	ADJ
ejpam-6237	16	2	methods	method	NOUN
ejpam-6237	16	3	are	be	AUX
ejpam-6237	16	4	particularly	particularly	ADV
ejpam-6237	16	5	useful	useful	ADJ
ejpam-6237	16	6	when	when	SCONJ
ejpam-6237	16	7	the	the	DET
ejpam-6237	16	8	differential	differential	ADJ
ejpam-6237	16	9	equation	equation	NOUN
ejpam-6237	16	10	is	be	AUX
ejpam-6237	16	11	non	non	ADJ
ejpam-6237	16	12	-	-	ADJ
ejpam-6237	16	13	linear	linear	ADJ
ejpam-6237	16	14	,	,	PUNCT
ejpam-6237	16	15	or	or	CCONJ
ejpam-6237	16	16	when	when	SCONJ
ejpam-6237	16	17	the	the	DET
ejpam-6237	16	18	exact	exact	ADJ
ejpam-6237	16	19	solution	solution	NOUN
ejpam-6237	16	20	is	be	AUX
ejpam-6237	16	21	not	not	PART
ejpam-6237	16	22	readily	readily	ADV
ejpam-6237	16	23	available	available	ADJ
ejpam-6237	16	24	.	.	PUNCT
ejpam-6237	17	1	among	among	ADP
ejpam-6237	17	2	the	the	DET
ejpam-6237	17	3	classical	classical	ADJ
ejpam-6237	17	4	numerical	numerical	ADJ
ejpam-6237	17	5	methods	method	NOUN
ejpam-6237	17	6	for	for	ADP
ejpam-6237	17	7	solving	solve	VERB
ejpam-6237	17	8	ivps	ivps	PROPN
ejpam-6237	17	9	are	be	AUX
ejpam-6237	17	10	euler	euler	PROPN
ejpam-6237	17	11	’s	’s	PART
ejpam-6237	17	12	method	method	NOUN
ejpam-6237	17	13	,	,	PUNCT
ejpam-6237	17	14	heun	heun	PROPN
ejpam-6237	17	15	’s	’s	PART
ejpam-6237	17	16	method	method	NOUN
ejpam-6237	17	17	(	(	PUNCT
ejpam-6237	17	18	also	also	ADV
ejpam-6237	17	19	known	know	VERB
ejpam-6237	17	20	as	as	ADP
ejpam-6237	17	21	the	the	DET
ejpam-6237	17	22	improved	improve	VERB
ejpam-6237	17	23	euler	euler	NOUN
ejpam-6237	17	24	method	method	NOUN
ejpam-6237	17	25	)	)	PUNCT
ejpam-6237	17	26	,	,	PUNCT
ejpam-6237	17	27	and	and	CCONJ
ejpam-6237	17	28	the	the	DET
ejpam-6237	17	29	fourth	fourth	ADJ
ejpam-6237	17	30	-	-	PUNCT
ejpam-6237	17	31	order	order	NOUN
ejpam-6237	17	32	runge	runge	NOUN
ejpam-6237	17	33	-	-	PUNCT
ejpam-6237	17	34	kutta	kutta	NOUN
ejpam-6237	17	35	(	(	PUNCT
ejpam-6237	17	36	rk4	rk4	NOUN
ejpam-6237	17	37	)	)	PUNCT
ejpam-6237	17	38	method	method	NOUN
ejpam-6237	17	39	[	[	X
ejpam-6237	17	40	1	1	NUM
ejpam-6237	17	41	,	,	PUNCT
ejpam-6237	17	42	2	2	NUM
ejpam-6237	17	43	]	]	PUNCT
ejpam-6237	17	44	.	.	PUNCT
ejpam-6237	18	1	euler	euler	PROPN
ejpam-6237	18	2	’s	’s	PART
ejpam-6237	18	3	method	method	NOUN
ejpam-6237	18	4	,	,	PUNCT
ejpam-6237	18	5	while	while	SCONJ
ejpam-6237	18	6	straightforward	straightforward	ADJ
ejpam-6237	18	7	and	and	CCONJ
ejpam-6237	18	8	easy	easy	ADJ
ejpam-6237	18	9	to	to	PART
ejpam-6237	18	10	implement	implement	VERB
ejpam-6237	18	11	,	,	PUNCT
ejpam-6237	18	12	is	be	AUX
ejpam-6237	18	13	often	often	ADV
ejpam-6237	18	14	limited	limit	VERB
ejpam-6237	18	15	by	by	ADP
ejpam-6237	18	16	poor	poor	ADJ
ejpam-6237	18	17	stability	stability	NOUN
ejpam-6237	18	18	and	and	CCONJ
ejpam-6237	18	19	accuracy	accuracy	NOUN
ejpam-6237	18	20	unless	unless	SCONJ
ejpam-6237	18	21	very	very	ADV
ejpam-6237	18	22	small	small	ADJ
ejpam-6237	18	23	time	time	NOUN
ejpam-6237	18	24	steps	step	NOUN
ejpam-6237	18	25	are	be	AUX
ejpam-6237	18	26	used	use	VERB
ejpam-6237	18	27	[	[	PUNCT
ejpam-6237	18	28	2	2	NUM
ejpam-6237	18	29	]	]	PUNCT
ejpam-6237	18	30	.	.	PUNCT
ejpam-6237	19	1	to	to	PART
ejpam-6237	19	2	improve	improve	VERB
ejpam-6237	19	3	upon	upon	SCONJ
ejpam-6237	19	4	these	these	DET
ejpam-6237	19	5	limitations	limitation	NOUN
ejpam-6237	19	6	,	,	PUNCT
ejpam-6237	19	7	carious	carious	ADJ
ejpam-6237	19	8	modifications	modification	NOUN
ejpam-6237	19	9	have	have	AUX
ejpam-6237	19	10	been	be	AUX
ejpam-6237	19	11	proposed	propose	VERB
ejpam-6237	19	12	.	.	PUNCT
ejpam-6237	20	1	for	for	ADP
ejpam-6237	20	2	instance	instance	NOUN
ejpam-6237	20	3	,	,	PUNCT
ejpam-6237	20	4	workie	workie	PROPN
ejpam-6237	21	1	[	[	X
ejpam-6237	21	2	3	3	X
ejpam-6237	21	3	]	]	PUNCT
ejpam-6237	21	4	introduced	introduce	VERB
ejpam-6237	21	5	a	a	DET
ejpam-6237	21	6	modified	modify	VERB
ejpam-6237	21	7	euler	euler	NOUN
ejpam-6237	21	8	method	method	NOUN
ejpam-6237	21	9	that	that	PRON
ejpam-6237	21	10	integrates	integrate	VERB
ejpam-6237	21	11	euler	euler	PROPN
ejpam-6237	21	12	’s	’s	PART
ejpam-6237	21	13	approximation	approximation	NOUN
ejpam-6237	21	14	into	into	ADP
ejpam-6237	21	15	the	the	DET
ejpam-6237	21	16	correction	correction	NOUN
ejpam-6237	21	17	phase	phase	NOUN
ejpam-6237	21	18	,	,	PUNCT
ejpam-6237	21	19	enhancing	enhance	VERB
ejpam-6237	21	20	its	its	PRON
ejpam-6237	21	21	efficiency	efficiency	NOUN
ejpam-6237	21	22	.	.	PUNCT
ejpam-6237	22	1	heun	heun	PROPN
ejpam-6237	22	2	’s	’s	PART
ejpam-6237	22	3	method	method	NOUN
ejpam-6237	22	4	has	have	AUX
ejpam-6237	22	5	also	also	ADV
ejpam-6237	22	6	been	be	AUX
ejpam-6237	22	7	modified	modify	VERB
ejpam-6237	22	8	by	by	ADP
ejpam-6237	22	9	altering	alter	VERB
ejpam-6237	22	10	the	the	DET
ejpam-6237	22	11	interior	interior	ADJ
ejpam-6237	22	12	function	function	NOUN
ejpam-6237	22	13	to	to	PART
ejpam-6237	22	14	improve	improve	VERB
ejpam-6237	22	15	its	its	PRON
ejpam-6237	22	16	order	order	NOUN
ejpam-6237	22	17	of	of	ADP
ejpam-6237	22	18	accuracy	accuracy	NOUN
ejpam-6237	22	19	[	[	X
ejpam-6237	22	20	4	4	NUM
ejpam-6237	22	21	]	]	PUNCT
ejpam-6237	22	22	,	,	PUNCT
ejpam-6237	22	23	and	and	CCONJ
ejpam-6237	22	24	further	further	ADJ
ejpam-6237	22	25	refinements	refinement	NOUN
ejpam-6237	22	26	such	such	ADJ
ejpam-6237	22	27	as	as	ADP
ejpam-6237	22	28	the	the	DET
ejpam-6237	22	29	incorporation	incorporation	NOUN
ejpam-6237	22	30	of	of	ADP
ejpam-6237	22	31	contraharmonic	contraharmonic	ADJ
ejpam-6237	22	32	means	mean	NOUN
ejpam-6237	22	33	have	have	AUX
ejpam-6237	22	34	been	be	AUX
ejpam-6237	22	35	explored	explore	VERB
ejpam-6237	22	36	to	to	PART
ejpam-6237	22	37	improve	improve	VERB
ejpam-6237	22	38	its	its	PRON
ejpam-6237	22	39	stability	stability	NOUN
ejpam-6237	22	40	and	and	CCONJ
ejpam-6237	22	41	convergence	convergence	NOUN
ejpam-6237	23	1	[	[	X
ejpam-6237	23	2	5	5	NUM
ejpam-6237	23	3	]	]	PUNCT
ejpam-6237	23	4	.	.	PUNCT
ejpam-6237	23	5	runge	runge	NOUN
ejpam-6237	23	6	-	-	PUNCT
ejpam-6237	23	7	kutta	kutta	NOUN
ejpam-6237	23	8	methods	method	NOUN
ejpam-6237	23	9	,	,	PUNCT
ejpam-6237	23	10	expecially	expecially	ADV
ejpam-6237	23	11	higher	high	ADJ
ejpam-6237	23	12	-	-	PUNCT
ejpam-6237	23	13	order	order	NOUN
ejpam-6237	23	14	variants	variant	NOUN
ejpam-6237	23	15	,	,	PUNCT
ejpam-6237	23	16	offer	offer	VERB
ejpam-6237	23	17	a	a	DET
ejpam-6237	23	18	more	more	ADV
ejpam-6237	23	19	favorable	favorable	ADJ
ejpam-6237	23	20	trade	trade	NOUN
ejpam-6237	23	21	-	-	PUNCT
ejpam-6237	23	22	off	off	NOUN
ejpam-6237	23	23	between	between	ADP
ejpam-6237	23	24	accuracy	accuracy	NOUN
ejpam-6237	23	25	and	and	CCONJ
ejpam-6237	23	26	computational	computational	ADJ
ejpam-6237	23	27	cost	cost	NOUN
ejpam-6237	23	28	.	.	PUNCT
ejpam-6237	24	1	numerous	numerous	ADJ
ejpam-6237	24	2	adaptations	adaptation	NOUN
ejpam-6237	24	3	have	have	AUX
ejpam-6237	24	4	been	be	AUX
ejpam-6237	24	5	developed	develop	VERB
ejpam-6237	24	6	using	use	VERB
ejpam-6237	24	7	weighted	weight	VERB
ejpam-6237	24	8	combinations	combination	NOUN
ejpam-6237	24	9	of	of	ADP
ejpam-6237	24	10	means	mean	NOUN
ejpam-6237	24	11	including	include	VERB
ejpam-6237	24	12	arithmetic	arithmetic	ADJ
ejpam-6237	24	13	,	,	PUNCT
ejpam-6237	24	14	harmonic	harmonic	ADJ
ejpam-6237	24	15	,	,	PUNCT
ejpam-6237	24	16	geometric	geometric	ADJ
ejpam-6237	24	17	,	,	PUNCT
ejpam-6237	24	18	lehmer	lehmer	NOUN
ejpam-6237	24	19	,	,	PUNCT
ejpam-6237	24	20	and	and	CCONJ
ejpam-6237	24	21	centroidal	centroidal	ADJ
ejpam-6237	24	22	to	to	PART
ejpam-6237	24	23	improve	improve	VERB
ejpam-6237	24	24	the	the	DET
ejpam-6237	24	25	performance	performance	NOUN
ejpam-6237	24	26	of	of	ADP
ejpam-6237	24	27	such	such	ADJ
ejpam-6237	24	28	methods	method	NOUN
ejpam-6237	24	29	[	[	X
ejpam-6237	24	30	6–10	6–10	NOUN
ejpam-6237	24	31	]	]	X
ejpam-6237	24	32	.	.	PUNCT
ejpam-6237	25	1	several	several	ADJ
ejpam-6237	25	2	studies	study	NOUN
ejpam-6237	25	3	have	have	AUX
ejpam-6237	25	4	emphasized	emphasize	VERB
ejpam-6237	25	5	the	the	DET
ejpam-6237	25	6	importance	importance	NOUN
ejpam-6237	25	7	of	of	ADP
ejpam-6237	25	8	selecting	select	VERB
ejpam-6237	25	9	or	or	CCONJ
ejpam-6237	25	10	designing	design	VERB
ejpam-6237	25	11	numerical	numerical	ADJ
ejpam-6237	25	12	schemes	scheme	NOUN
ejpam-6237	25	13	on	on	ADP
ejpam-6237	25	14	the	the	DET
ejpam-6237	25	15	trade	trade	NOUN
ejpam-6237	25	16	-	-	PUNCT
ejpam-6237	25	17	offs	off	NOUN
ejpam-6237	25	18	between	between	ADP
ejpam-6237	25	19	local	local	ADJ
ejpam-6237	25	20	error	error	NOUN
ejpam-6237	25	21	,	,	PUNCT
ejpam-6237	25	22	convergence	convergence	NOUN
ejpam-6237	25	23	rate	rate	NOUN
ejpam-6237	25	24	,	,	PUNCT
ejpam-6237	25	25	and	and	CCONJ
ejpam-6237	25	26	computational	computational	ADJ
ejpam-6237	25	27	stability	stability	NOUN
ejpam-6237	25	28	.	.	PUNCT
ejpam-6237	26	1	comparative	comparative	ADJ
ejpam-6237	26	2	analysis	analysis	NOUN
ejpam-6237	26	3	,	,	PUNCT
ejpam-6237	26	4	such	such	ADJ
ejpam-6237	26	5	as	as	ADP
ejpam-6237	26	6	in	in	ADP
ejpam-6237	26	7	[	[	PUNCT
ejpam-6237	26	8	11	11	NUM
ejpam-6237	26	9	]	]	PUNCT
ejpam-6237	26	10	have	have	AUX
ejpam-6237	26	11	demonstrated	demonstrate	VERB
ejpam-6237	26	12	that	that	SCONJ
ejpam-6237	26	13	among	among	ADP
ejpam-6237	26	14	classical	classical	ADJ
ejpam-6237	26	15	methods	method	NOUN
ejpam-6237	26	16	like	like	ADP
ejpam-6237	26	17	euler	euler	NOUN
ejpam-6237	26	18	,	,	PUNCT
ejpam-6237	26	19	runge	runge	NOUN
ejpam-6237	26	20	-	-	PUNCT
ejpam-6237	26	21	kutta	kutta	NOUN
ejpam-6237	26	22	of	of	ADP
ejpam-6237	26	23	order	order	NOUN
ejpam-6237	26	24	fourth	fourth	ADJ
ejpam-6237	26	25	and	and	CCONJ
ejpam-6237	26	26	sixth	sixth	ADJ
ejpam-6237	26	27	(	(	PUNCT
ejpam-6237	26	28	rk4	rk4	NOUN
ejpam-6237	26	29	and	and	CCONJ
ejpam-6237	26	30	rk6	rk6	NOUN
ejpam-6237	26	31	)	)	PUNCT
ejpam-6237	26	32	,	,	PUNCT
ejpam-6237	26	33	and	and	CCONJ
ejpam-6237	26	34	adams	adams	PROPN
ejpam-6237	26	35	-	-	PUNCT
ejpam-6237	26	36	bashforthmoulton	bashforthmoulton	PROPN
ejpam-6237	26	37	,	,	PUNCT
ejpam-6237	26	38	the	the	DET
ejpam-6237	26	39	latter	latter	NOUN
ejpam-6237	26	40	generally	generally	ADV
ejpam-6237	26	41	provides	provide	VERB
ejpam-6237	26	42	superior	superior	ADJ
ejpam-6237	26	43	accuracy	accuracy	NOUN
ejpam-6237	26	44	.	.	PUNCT
ejpam-6237	27	1	other	other	ADJ
ejpam-6237	27	2	approaches	approach	NOUN
ejpam-6237	27	3	,	,	PUNCT
ejpam-6237	27	4	such	such	ADJ
ejpam-6237	27	5	as	as	ADP
ejpam-6237	27	6	those	those	PRON
ejpam-6237	27	7	in	in	ADP
ejpam-6237	27	8	[	[	X
ejpam-6237	27	9	12	12	NUM
ejpam-6237	27	10	]	]	PUNCT
ejpam-6237	27	11	,	,	PUNCT
ejpam-6237	27	12	solve	solve	VERB
ejpam-6237	27	13	second	second	ADJ
ejpam-6237	27	14	–	–	PUNCT
ejpam-6237	27	15	order	order	NOUN
ejpam-6237	27	16	ivps	ivps	PROPN
ejpam-6237	27	17	without	without	ADP
ejpam-6237	27	18	restrictive	restrictive	ADJ
ejpam-6237	27	19	assumptions	assumption	NOUN
ejpam-6237	27	20	using	use	VERB
ejpam-6237	27	21	rk4	rk4	NOUN
ejpam-6237	27	22	and	and	CCONJ
ejpam-6237	27	23	euler	euler	NOUN
ejpam-6237	27	24	methods	method	NOUN
ejpam-6237	27	25	,	,	PUNCT
ejpam-6237	27	26	thereby	thereby	ADV
ejpam-6237	27	27	offering	offer	VERB
ejpam-6237	27	28	more	more	ADV
ejpam-6237	27	29	generalizable	generalizable	ADJ
ejpam-6237	27	30	frameworks	framework	NOUN
ejpam-6237	27	31	.	.	PUNCT
ejpam-6237	28	1	in	in	ADP
ejpam-6237	28	2	addition	addition	NOUN
ejpam-6237	28	3	to	to	ADP
ejpam-6237	28	4	classical	classical	ADJ
ejpam-6237	28	5	methods	method	NOUN
ejpam-6237	28	6	,	,	PUNCT
ejpam-6237	28	7	recent	recent	ADJ
ejpam-6237	28	8	attention	attention	NOUN
ejpam-6237	28	9	has	have	AUX
ejpam-6237	28	10	turned	turn	VERB
ejpam-6237	28	11	to	to	ADP
ejpam-6237	28	12	solving	solve	VERB
ejpam-6237	28	13	fuzzy	fuzzy	ADJ
ejpam-6237	28	14	differential	differential	ADJ
ejpam-6237	28	15	equations	equation	NOUN
ejpam-6237	28	16	(	(	PUNCT
ejpam-6237	28	17	fdes	fde	NOUN
ejpam-6237	28	18	)	)	PUNCT
ejpam-6237	28	19	,	,	PUNCT
ejpam-6237	28	20	which	which	PRON
ejpam-6237	28	21	are	be	AUX
ejpam-6237	28	22	critical	critical	ADJ
ejpam-6237	28	23	in	in	ADP
ejpam-6237	28	24	modeling	model	VERB
ejpam-6237	28	25	uncertain	uncertain	ADJ
ejpam-6237	28	26	systems	system	NOUN
ejpam-6237	28	27	in	in	ADP
ejpam-6237	28	28	engineering	engineering	NOUN
ejpam-6237	28	29	,	,	PUNCT
ejpam-6237	28	30	economics	economic	NOUN
ejpam-6237	28	31	,	,	PUNCT
ejpam-6237	28	32	and	and	CCONJ
ejpam-6237	28	33	environmental	environmental	ADJ
ejpam-6237	28	34	sciences	science	NOUN
ejpam-6237	28	35	.	.	PUNCT
ejpam-6237	29	1	techniques	technique	NOUN
ejpam-6237	29	2	developed	develop	VERB
ejpam-6237	29	3	by	by	ADP
ejpam-6237	29	4	[	[	X
ejpam-6237	29	5	13	13	NUM
ejpam-6237	29	6	]	]	PUNCT
ejpam-6237	29	7	and	and	CCONJ
ejpam-6237	29	8	[	[	X
ejpam-6237	29	9	14	14	NUM
ejpam-6237	29	10	]	]	PUNCT
ejpam-6237	29	11	introduced	introduce	VERB
ejpam-6237	29	12	enhanced	enhance	VERB
ejpam-6237	29	13	euler	euler	NOUN
ejpam-6237	29	14	-	-	PUNCT
ejpam-6237	29	15	type	type	NOUN
ejpam-6237	29	16	methods	method	NOUN
ejpam-6237	29	17	using	use	VERB
ejpam-6237	29	18	contraharmonic	contraharmonic	NOUN
ejpam-6237	29	19	,	,	PUNCT
ejpam-6237	29	20	harmonic	harmonic	ADJ
ejpam-6237	29	21	,	,	PUNCT
ejpam-6237	29	22	cubic	cubic	ADJ
ejpam-6237	29	23	,	,	PUNCT
ejpam-6237	29	24	and	and	CCONJ
ejpam-6237	29	25	centroidal	centroidal	PROPN
ejpam-6237	29	26	means	mean	VERB
ejpam-6237	29	27	to	to	PART
ejpam-6237	29	28	handle	handle	VERB
ejpam-6237	29	29	fuzzy	fuzzy	ADJ
ejpam-6237	29	30	initial	initial	ADJ
ejpam-6237	29	31	conditions	condition	NOUN
ejpam-6237	29	32	,	,	PUNCT
ejpam-6237	29	33	achieving	achieve	VERB
ejpam-6237	29	34	improved	improve	VERB
ejpam-6237	29	35	numerical	numerical	ADJ
ejpam-6237	29	36	accuracy	accuracy	NOUN
ejpam-6237	29	37	.	.	PUNCT
ejpam-6237	30	1	the	the	DET
ejpam-6237	30	2	stability	stability	NOUN
ejpam-6237	30	3	and	and	CCONJ
ejpam-6237	30	4	consistency	consistency	NOUN
ejpam-6237	30	5	of	of	ADP
ejpam-6237	30	6	numerical	numerical	ADJ
ejpam-6237	30	7	methods	method	NOUN
ejpam-6237	30	8	are	be	AUX
ejpam-6237	30	9	critical	critical	ADJ
ejpam-6237	30	10	in	in	ADP
ejpam-6237	30	11	practical	practical	ADJ
ejpam-6237	30	12	applications	application	NOUN
ejpam-6237	30	13	,	,	PUNCT
ejpam-6237	30	14	particularly	particularly	ADV
ejpam-6237	30	15	in	in	ADP
ejpam-6237	30	16	aerospace	aerospace	NOUN
ejpam-6237	30	17	,	,	PUNCT
ejpam-6237	30	18	climatology	climatology	NOUN
ejpam-6237	30	19	,	,	PUNCT
ejpam-6237	30	20	and	and	CCONJ
ejpam-6237	30	21	finance	finance	NOUN
ejpam-6237	30	22	where	where	SCONJ
ejpam-6237	30	23	error	error	NOUN
ejpam-6237	30	24	can	can	AUX
ejpam-6237	30	25	lead	lead	VERB
ejpam-6237	30	26	to	to	ADP
ejpam-6237	30	27	significant	significant	ADJ
ejpam-6237	30	28	negative	negative	ADJ
ejpam-6237	30	29	impact	impact	NOUN
ejpam-6237	30	30	.	.	PUNCT
ejpam-6237	31	1	accordingly	accordingly	ADV
ejpam-6237	31	2	,	,	PUNCT
ejpam-6237	31	3	numerical	numerical	ADJ
ejpam-6237	31	4	researchers	researcher	NOUN
ejpam-6237	31	5	continue	continue	VERB
ejpam-6237	31	6	to	to	PART
ejpam-6237	31	7	pursue	pursue	VERB
ejpam-6237	31	8	improvements	improvement	NOUN
ejpam-6237	31	9	in	in	ADP
ejpam-6237	31	10	convergence	convergence	NOUN
ejpam-6237	31	11	rates	rate	NOUN
ejpam-6237	31	12	,	,	PUNCT
ejpam-6237	31	13	local	local	ADJ
ejpam-6237	31	14	truncation	truncation	NOUN
ejpam-6237	31	15	error	error	NOUN
ejpam-6237	31	16	minimization	minimization	NOUN
ejpam-6237	31	17	,	,	PUNCT
ejpam-6237	31	18	and	and	CCONJ
ejpam-6237	31	19	expanded	expand	VERB
ejpam-6237	31	20	stability	stability	NOUN
ejpam-6237	31	21	regions	region	NOUN
ejpam-6237	31	22	[	[	X
ejpam-6237	31	23	15–18	15–18	NUM
ejpam-6237	31	24	]	]	PUNCT
ejpam-6237	31	25	.	.	PUNCT
ejpam-6237	32	1	in	in	ADP
ejpam-6237	32	2	classical	classical	ADJ
ejpam-6237	32	3	heun	heun	NOUN
ejpam-6237	32	4	’s	’s	PART
ejpam-6237	32	5	method	method	NOUN
ejpam-6237	32	6	,	,	PUNCT
ejpam-6237	32	7	the	the	DET
ejpam-6237	32	8	correction	correction	NOUN
ejpam-6237	32	9	step	step	NOUN
ejpam-6237	32	10	uses	use	VERB
ejpam-6237	32	11	the	the	DET
ejpam-6237	32	12	arithmetic	arithmetic	ADJ
ejpam-6237	32	13	mean	mean	NOUN
ejpam-6237	32	14	of	of	ADP
ejpam-6237	32	15	slopes	slope	NOUN
ejpam-6237	32	16	to	to	PART
ejpam-6237	32	17	refine	refine	VERB
ejpam-6237	32	18	the	the	DET
ejpam-6237	32	19	predicted	predict	VERB
ejpam-6237	32	20	value	value	NOUN
ejpam-6237	32	21	.	.	PUNCT
ejpam-6237	33	1	this	this	DET
ejpam-6237	33	2	averaging	averaging	NOUN
ejpam-6237	33	3	acts	act	VERB
ejpam-6237	33	4	as	as	ADP
ejpam-6237	33	5	a	a	DET
ejpam-6237	33	6	symmetric	symmetric	ADJ
ejpam-6237	33	7	compromise	compromise	NOUN
ejpam-6237	33	8	between	between	ADP
ejpam-6237	33	9	the	the	DET
ejpam-6237	33	10	initial	initial	ADJ
ejpam-6237	33	11	and	and	CCONJ
ejpam-6237	33	12	predicted	predict	VERB
ejpam-6237	33	13	slopes	slope	NOUN
ejpam-6237	33	14	.	.	PUNCT
ejpam-6237	34	1	recent	recent	ADJ
ejpam-6237	34	2	innovations	innovation	NOUN
ejpam-6237	34	3	in	in	ADP
ejpam-6237	34	4	heun	heun	PROPN
ejpam-6237	34	5	’s	’s	PART
ejpam-6237	34	6	method	method	NOUN
ejpam-6237	34	7	further	far	ADV
ejpam-6237	34	8	demonstrate	demonstrate	VERB
ejpam-6237	34	9	the	the	DET
ejpam-6237	34	10	benefits	benefit	NOUN
ejpam-6237	34	11	of	of	ADP
ejpam-6237	34	12	integrating	integrate	VERB
ejpam-6237	34	13	nonlinear	nonlinear	ADJ
ejpam-6237	34	14	averaging	averaging	NOUN
ejpam-6237	34	15	mechanisms	mechanism	NOUN
ejpam-6237	34	16	.	.	PUNCT
ejpam-6237	35	1	for	for	ADP
ejpam-6237	35	2	example	example	NOUN
ejpam-6237	35	3	,	,	PUNCT
ejpam-6237	35	4	[	[	X
ejpam-6237	35	5	5	5	NUM
ejpam-6237	35	6	]	]	PUNCT
ejpam-6237	35	7	enhanced	enhanced	ADJ
ejpam-6237	35	8	heun	heun	PROPN
ejpam-6237	35	9	’s	’s	PART
ejpam-6237	35	10	method	method	NOUN
ejpam-6237	35	11	using	use	VERB
ejpam-6237	35	12	combination	combination	NOUN
ejpam-6237	35	13	of	of	ADP
ejpam-6237	35	14	the	the	DET
ejpam-6237	35	15	arithmetic	arithmetic	ADJ
ejpam-6237	35	16	and	and	CCONJ
ejpam-6237	35	17	contraharmonic	contraharmonic	ADJ
ejpam-6237	35	18	means	mean	NOUN
ejpam-6237	35	19	.	.	PUNCT
ejpam-6237	36	1	inspired	inspire	VERB
ejpam-6237	36	2	syamsudhuha	syamsudhuha	PROPN
ejpam-6237	36	3	et	et	PROPN
ejpam-6237	36	4	al	al	PROPN
ejpam-6237	36	5	.	.	PUNCT
ejpam-6237	36	6	/	/	SYM
ejpam-6237	36	7	eur	eur	PROPN
ejpam-6237	36	8	.	.	PUNCT
ejpam-6237	37	1	j.	j.	PROPN
ejpam-6237	37	2	pure	pure	PROPN
ejpam-6237	37	3	appl	appl	PROPN
ejpam-6237	37	4	.	.	PROPN
ejpam-6237	37	5	math	math	PROPN
ejpam-6237	37	6	,	,	PUNCT
ejpam-6237	37	7	18	18	NUM
ejpam-6237	37	8	(	(	PUNCT
ejpam-6237	37	9	3	3	NUM
ejpam-6237	37	10	)	)	PUNCT
ejpam-6237	37	11	(	(	PUNCT
ejpam-6237	37	12	2025	2025	NUM
ejpam-6237	37	13	)	)	PUNCT
ejpam-6237	37	14	,	,	PUNCT
ejpam-6237	37	15	6237	6237	NUM
ejpam-6237	37	16	3	3	NUM
ejpam-6237	37	17	of	of	ADP
ejpam-6237	37	18	15	15	NUM
ejpam-6237	37	19	by	by	ADP
ejpam-6237	37	20	this	this	PRON
ejpam-6237	37	21	,	,	PUNCT
ejpam-6237	37	22	our	our	PRON
ejpam-6237	37	23	current	current	ADJ
ejpam-6237	37	24	study	study	NOUN
ejpam-6237	37	25	introduces	introduce	VERB
ejpam-6237	37	26	a	a	DET
ejpam-6237	37	27	new	new	ADJ
ejpam-6237	37	28	modification	modification	NOUN
ejpam-6237	37	29	of	of	ADP
ejpam-6237	37	30	heun	heun	PROPN
ejpam-6237	37	31	’s	’s	PART
ejpam-6237	37	32	method	method	NOUN
ejpam-6237	37	33	that	that	PRON
ejpam-6237	37	34	employs	employ	VERB
ejpam-6237	37	35	both	both	PRON
ejpam-6237	37	36	the	the	DET
ejpam-6237	37	37	contraharmonic	contraharmonic	NOUN
ejpam-6237	37	38	mean	mean	NOUN
ejpam-6237	37	39	and	and	CCONJ
ejpam-6237	37	40	the	the	DET
ejpam-6237	37	41	centroidal	centroidal	NOUN
ejpam-6237	37	42	mean	mean	VERB
ejpam-6237	37	43	in	in	ADP
ejpam-6237	37	44	a	a	DET
ejpam-6237	37	45	unified	unified	ADJ
ejpam-6237	37	46	slope	slope	NOUN
ejpam-6237	37	47	approximation	approximation	NOUN
ejpam-6237	37	48	.	.	PUNCT
ejpam-6237	38	1	this	this	DET
ejpam-6237	38	2	approach	approach	NOUN
ejpam-6237	38	3	preserves	preserve	VERB
ejpam-6237	38	4	the	the	DET
ejpam-6237	38	5	predictor	predictor	NOUN
ejpam-6237	38	6	-	-	PUNCT
ejpam-6237	38	7	corrector	corrector	NOUN
ejpam-6237	38	8	structure	structure	NOUN
ejpam-6237	38	9	while	while	SCONJ
ejpam-6237	38	10	improving	improve	VERB
ejpam-6237	38	11	accuracy	accuracy	NOUN
ejpam-6237	38	12	and	and	CCONJ
ejpam-6237	38	13	enhancing	enhance	VERB
ejpam-6237	38	14	stability	stability	NOUN
ejpam-6237	38	15	under	under	ADP
ejpam-6237	38	16	stiff	stiff	ADJ
ejpam-6237	38	17	or	or	CCONJ
ejpam-6237	38	18	rapidly	rapidly	ADV
ejpam-6237	38	19	changing	change	VERB
ejpam-6237	38	20	conditions	condition	NOUN
ejpam-6237	38	21	.	.	PUNCT
ejpam-6237	39	1	we	we	PRON
ejpam-6237	39	2	provide	provide	VERB
ejpam-6237	39	3	theoretical	theoretical	ADJ
ejpam-6237	39	4	justifications	justification	NOUN
ejpam-6237	39	5	for	for	ADP
ejpam-6237	39	6	the	the	DET
ejpam-6237	39	7	consistency	consistency	NOUN
ejpam-6237	39	8	and	and	CCONJ
ejpam-6237	39	9	second	second	ADJ
ejpam-6237	39	10	-	-	PUNCT
ejpam-6237	39	11	order	order	NOUN
ejpam-6237	39	12	convergence	convergence	NOUN
ejpam-6237	39	13	of	of	ADP
ejpam-6237	39	14	the	the	DET
ejpam-6237	39	15	method	method	NOUN
ejpam-6237	39	16	and	and	CCONJ
ejpam-6237	39	17	assess	assess	VERB
ejpam-6237	39	18	its	its	PRON
ejpam-6237	39	19	stability	stability	NOUN
ejpam-6237	39	20	region	region	NOUN
ejpam-6237	39	21	using	use	VERB
ejpam-6237	39	22	dahlquist	dahlquist	NOUN
ejpam-6237	39	23	problem	problem	NOUN
ejpam-6237	39	24	[	[	X
ejpam-6237	39	25	15	15	NUM
ejpam-6237	39	26	]	]	PUNCT
ejpam-6237	39	27	.	.	PUNCT
ejpam-6237	40	1	through	through	ADP
ejpam-6237	40	2	comparative	comparative	ADJ
ejpam-6237	40	3	numerical	numerical	ADJ
ejpam-6237	40	4	experiments	experiment	NOUN
ejpam-6237	40	5	with	with	ADP
ejpam-6237	40	6	existing	exist	VERB
ejpam-6237	40	7	methods	method	NOUN
ejpam-6237	40	8	such	such	ADJ
ejpam-6237	40	9	as	as	ADP
ejpam-6237	40	10	heun	heun	PROPN
ejpam-6237	40	11	’s	’s	PART
ejpam-6237	40	12	method	method	NOUN
ejpam-6237	40	13	,	,	PUNCT
ejpam-6237	40	14	the	the	DET
ejpam-6237	40	15	harmonic	harmonic	ADJ
ejpam-6237	40	16	–	–	PUNCT
ejpam-6237	40	17	heun	heun	NOUN
ejpam-6237	40	18	method	method	NOUN
ejpam-6237	40	19	,	,	PUNCT
ejpam-6237	40	20	and	and	CCONJ
ejpam-6237	40	21	the	the	DET
ejpam-6237	40	22	contraharmonic	contraharmonic	ADJ
ejpam-6237	40	23	–	–	PUNCT
ejpam-6237	40	24	heun	heun	NOUN
ejpam-6237	40	25	method	method	NOUN
ejpam-6237	40	26	,	,	PUNCT
ejpam-6237	40	27	we	we	PRON
ejpam-6237	40	28	evaluate	evaluate	VERB
ejpam-6237	40	29	the	the	DET
ejpam-6237	40	30	performance	performance	NOUN
ejpam-6237	40	31	of	of	ADP
ejpam-6237	40	32	the	the	DET
ejpam-6237	40	33	proposed	propose	VERB
ejpam-6237	40	34	method	method	NOUN
ejpam-6237	40	35	in	in	ADP
ejpam-6237	40	36	solving	solve	VERB
ejpam-6237	40	37	linear	linear	NOUN
ejpam-6237	40	38	,	,	PUNCT
ejpam-6237	40	39	stiff	stiff	ADJ
ejpam-6237	40	40	,	,	PUNCT
ejpam-6237	40	41	and	and	CCONJ
ejpam-6237	40	42	thermally	thermally	ADV
ejpam-6237	40	43	driven	drive	VERB
ejpam-6237	40	44	ivps	ivps	PROPN
ejpam-6237	40	45	.	.	PUNCT
ejpam-6237	41	1	2	2	X
ejpam-6237	41	2	.	.	X
ejpam-6237	41	3	development	development	NOUN
ejpam-6237	41	4	and	and	CCONJ
ejpam-6237	41	5	analysis	analysis	NOUN
ejpam-6237	41	6	of	of	ADP
ejpam-6237	41	7	the	the	DET
ejpam-6237	41	8	proposed	propose	VERB
ejpam-6237	41	9	method	method	NOUN
ejpam-6237	41	10	2.1	2.1	NUM
ejpam-6237	41	11	.	.	PUNCT
ejpam-6237	42	1	derivation	derivation	NOUN
ejpam-6237	42	2	of	of	ADP
ejpam-6237	42	3	the	the	DET
ejpam-6237	42	4	proposed	propose	VERB
ejpam-6237	42	5	method	method	NOUN
ejpam-6237	42	6	one	one	NUM
ejpam-6237	42	7	of	of	ADP
ejpam-6237	42	8	the	the	DET
ejpam-6237	42	9	methods	method	NOUN
ejpam-6237	42	10	to	to	PART
ejpam-6237	42	11	solve	solve	VERB
ejpam-6237	42	12	equation	equation	NOUN
ejpam-6237	42	13	(	(	PUNCT
ejpam-6237	42	14	1	1	X
ejpam-6237	42	15	)	)	PUNCT
ejpam-6237	42	16	is	be	AUX
ejpam-6237	42	17	heun	heun	PROPN
ejpam-6237	42	18	’s	’s	PART
ejpam-6237	42	19	method	method	NOUN
ejpam-6237	42	20	(	(	PUNCT
ejpam-6237	42	21	hm	hm	INTJ
ejpam-6237	42	22	)	)	PUNCT
ejpam-6237	42	23	,	,	PUNCT
ejpam-6237	42	24	given	give	VERB
ejpam-6237	42	25	by	by	ADP
ejpam-6237	42	26	yci+1	yci+1	PROPN
ejpam-6237	43	1	=	=	SYM
ejpam-6237	43	2	yi	yi	PROPN
ejpam-6237	43	3	+	+	CCONJ
ejpam-6237	43	4	h	h	NOUN
ejpam-6237	43	5	2	2	NUM
ejpam-6237	43	6	[	[	PUNCT
ejpam-6237	43	7	f(xi	f(xi	PROPN
ejpam-6237	43	8	,	,	PUNCT
ejpam-6237	43	9	yi	yi	NOUN
ejpam-6237	43	10	)	)	PUNCT
ejpam-6237	43	11	+	+	CCONJ
ejpam-6237	43	12	f(xi+1	f(xi+1	PROPN
ejpam-6237	43	13	,	,	PUNCT
ejpam-6237	43	14	y	y	PROPN
ejpam-6237	43	15	p	p	NOUN
ejpam-6237	44	1	i+1	i+1	X
ejpam-6237	44	2	]	]	PUNCT
ejpam-6237	44	3	,	,	PUNCT
ejpam-6237	44	4	(	(	PUNCT
ejpam-6237	44	5	2	2	X
ejpam-6237	44	6	)	)	PUNCT
ejpam-6237	44	7	for	for	ADP
ejpam-6237	44	8	i	i	PROPN
ejpam-6237	44	9	=	=	SYM
ejpam-6237	44	10	0	0	NUM
ejpam-6237	44	11	,	,	PUNCT
ejpam-6237	44	12	1	1	NUM
ejpam-6237	44	13	,	,	PUNCT
ejpam-6237	44	14	2	2	NUM
ejpam-6237	44	15	,	,	PUNCT
ejpam-6237	44	16	.	.	PUNCT
ejpam-6237	44	17	.	.	PUNCT
ejpam-6237	44	18	.	.	PUNCT
ejpam-6237	45	1	and	and	CCONJ
ejpam-6237	45	2	h	h	NOUN
ejpam-6237	45	3	>	>	X
ejpam-6237	45	4	0	0	NUM
ejpam-6237	45	5	,	,	PUNCT
ejpam-6237	45	6	with	with	ADP
ejpam-6237	45	7	ypi+1	ypi+1	NOUN
ejpam-6237	45	8	=	=	SYM
ejpam-6237	45	9	yi	yi	PROPN
ejpam-6237	45	10	+	+	CCONJ
ejpam-6237	45	11	hf(xi	hf(xi	PROPN
ejpam-6237	45	12	,	,	PUNCT
ejpam-6237	45	13	yi	yi	PROPN
ejpam-6237	45	14	)	)	PUNCT
ejpam-6237	45	15	.	.	PUNCT
ejpam-6237	46	1	(	(	PUNCT
ejpam-6237	46	2	3	3	X
ejpam-6237	46	3	)	)	PUNCT
ejpam-6237	46	4	iterative	iterative	NOUN
ejpam-6237	46	5	algorithm	algorithm	NOUN
ejpam-6237	46	6	given	give	VERB
ejpam-6237	46	7	by	by	ADP
ejpam-6237	46	8	(	(	PUNCT
ejpam-6237	46	9	3	3	X
ejpam-6237	46	10	)	)	PUNCT
ejpam-6237	46	11	is	be	AUX
ejpam-6237	46	12	also	also	ADV
ejpam-6237	46	13	known	know	VERB
ejpam-6237	46	14	as	as	ADP
ejpam-6237	46	15	euler	euler	NOUN
ejpam-6237	46	16	’s	’s	PART
ejpam-6237	46	17	method	method	NOUN
ejpam-6237	46	18	.	.	PUNCT
ejpam-6237	47	1	in	in	ADP
ejpam-6237	47	2	heun	heun	PROPN
ejpam-6237	47	3	’s	’s	PART
ejpam-6237	47	4	method	method	NOUN
ejpam-6237	47	5	,	,	PUNCT
ejpam-6237	47	6	the	the	DET
ejpam-6237	47	7	euler	euler	NOUN
ejpam-6237	47	8	’s	’s	PART
ejpam-6237	47	9	method	method	NOUN
ejpam-6237	47	10	is	be	AUX
ejpam-6237	47	11	employed	employ	VERB
ejpam-6237	47	12	as	as	ADP
ejpam-6237	47	13	predictor	predictor	NOUN
ejpam-6237	47	14	step	step	NOUN
ejpam-6237	47	15	while	while	SCONJ
ejpam-6237	47	16	the	the	DET
ejpam-6237	47	17	average	average	NOUN
ejpam-6237	47	18	of	of	ADP
ejpam-6237	47	19	the	the	DET
ejpam-6237	47	20	slope	slope	NOUN
ejpam-6237	47	21	is	be	AUX
ejpam-6237	47	22	called	call	VERB
ejpam-6237	47	23	the	the	DET
ejpam-6237	47	24	corrector	corrector	NOUN
ejpam-6237	47	25	step	step	NOUN
ejpam-6237	47	26	.	.	PUNCT
ejpam-6237	48	1	one	one	NUM
ejpam-6237	48	2	of	of	ADP
ejpam-6237	48	3	the	the	DET
ejpam-6237	48	4	developments	development	NOUN
ejpam-6237	48	5	of	of	ADP
ejpam-6237	48	6	heun	heun	PROPN
ejpam-6237	48	7	’s	’s	PART
ejpam-6237	48	8	method	method	NOUN
ejpam-6237	48	9	can	can	AUX
ejpam-6237	48	10	be	be	AUX
ejpam-6237	48	11	found	find	VERB
ejpam-6237	48	12	in	in	ADP
ejpam-6237	48	13	[	[	X
ejpam-6237	48	14	6	6	NUM
ejpam-6237	48	15	]	]	PUNCT
ejpam-6237	48	16	where	where	SCONJ
ejpam-6237	48	17	the	the	DET
ejpam-6237	48	18	slope	slope	NOUN
ejpam-6237	48	19	in	in	ADP
ejpam-6237	48	20	(	(	PUNCT
ejpam-6237	48	21	2	2	X
ejpam-6237	48	22	)	)	PUNCT
ejpam-6237	48	23	is	be	AUX
ejpam-6237	48	24	altered	alter	VERB
ejpam-6237	48	25	with	with	ADP
ejpam-6237	48	26	second	second	ADJ
ejpam-6237	48	27	order	order	NOUN
ejpam-6237	48	28	harmonic	harmonic	NOUN
ejpam-6237	48	29	mean	mean	VERB
ejpam-6237	48	30	,	,	PUNCT
ejpam-6237	48	31	as	as	ADP
ejpam-6237	48	32	the	the	DET
ejpam-6237	48	33	following	following	NOUN
ejpam-6237	48	34	:	:	PUNCT
ejpam-6237	48	35	yi+1	yi+1	X
ejpam-6237	49	1	=	=	SYM
ejpam-6237	49	2	yi	yi	PROPN
ejpam-6237	49	3	+	+	CCONJ
ejpam-6237	49	4	h	h	NOUN
ejpam-6237	49	5	(	(	PUNCT
ejpam-6237	49	6	γ21	γ21	PROPN
ejpam-6237	49	7	+	+	NUM
ejpam-6237	49	8	γ22	γ22	NOUN
ejpam-6237	49	9	γ1	γ1	NOUN
ejpam-6237	49	10	+	+	CCONJ
ejpam-6237	49	11	γ2	γ2	PROPN
ejpam-6237	49	12	)	)	PUNCT
ejpam-6237	49	13	,	,	PUNCT
ejpam-6237	49	14	(	(	PUNCT
ejpam-6237	49	15	4	4	X
ejpam-6237	49	16	)	)	PUNCT
ejpam-6237	49	17	where	where	SCONJ
ejpam-6237	49	18	γ1	γ1	NOUN
ejpam-6237	49	19	=	=	SYM
ejpam-6237	49	20	f(xi	f(xi	PROPN
ejpam-6237	49	21	,	,	PUNCT
ejpam-6237	49	22	yi	yi	NOUN
ejpam-6237	49	23	)	)	PUNCT
ejpam-6237	49	24	(	(	PUNCT
ejpam-6237	49	25	5	5	X
ejpam-6237	49	26	)	)	PUNCT
ejpam-6237	49	27	γ2	γ2	NOUN
ejpam-6237	49	28	=	=	SYM
ejpam-6237	49	29	f(xi+1	f(xi+1	PROPN
ejpam-6237	49	30	,	,	PUNCT
ejpam-6237	49	31	y	y	PROPN
ejpam-6237	49	32	p	p	NOUN
ejpam-6237	49	33	i+1	i+1	NOUN
ejpam-6237	49	34	)	)	PUNCT
ejpam-6237	49	35	=	=	SYM
ejpam-6237	49	36	f	f	X
ejpam-6237	49	37	(	(	PUNCT
ejpam-6237	49	38	xi	xi	PROPN
ejpam-6237	50	1	+	+	CCONJ
ejpam-6237	50	2	h	h	NOUN
ejpam-6237	50	3	,	,	PUNCT
ejpam-6237	50	4	yi	yi	PROPN
ejpam-6237	50	5	+	+	CCONJ
ejpam-6237	50	6	hf(xi	hf(xi	PROPN
ejpam-6237	50	7	,	,	PUNCT
ejpam-6237	50	8	yi	yi	PROPN
ejpam-6237	50	9	)	)	PUNCT
ejpam-6237	50	10	)	)	PUNCT
ejpam-6237	51	1	,	,	PUNCT
ejpam-6237	51	2	(	(	PUNCT
ejpam-6237	51	3	6	6	NUM
ejpam-6237	51	4	)	)	PUNCT
ejpam-6237	51	5	and	and	CCONJ
ejpam-6237	51	6	will	will	AUX
ejpam-6237	51	7	be	be	AUX
ejpam-6237	51	8	called	call	VERB
ejpam-6237	51	9	as	as	ADP
ejpam-6237	51	10	hhm	hhm	PROPN
ejpam-6237	51	11	for	for	ADP
ejpam-6237	51	12	the	the	DET
ejpam-6237	51	13	rest	rest	NOUN
ejpam-6237	51	14	of	of	ADP
ejpam-6237	51	15	this	this	DET
ejpam-6237	51	16	article	article	NOUN
ejpam-6237	51	17	.	.	PUNCT
ejpam-6237	52	1	furthermore	furthermore	ADV
ejpam-6237	52	2	,	,	PUNCT
ejpam-6237	52	3	in	in	ADP
ejpam-6237	52	4	[	[	PUNCT
ejpam-6237	52	5	5	5	NUM
ejpam-6237	52	6	]	]	PUNCT
ejpam-6237	52	7	,	,	PUNCT
ejpam-6237	52	8	heun	heun	PROPN
ejpam-6237	52	9	’s	’s	PART
ejpam-6237	52	10	method	method	NOUN
ejpam-6237	52	11	is	be	AUX
ejpam-6237	52	12	developed	develop	VERB
ejpam-6237	52	13	by	by	ADP
ejpam-6237	52	14	assuming	assume	VERB
ejpam-6237	52	15	that	that	SCONJ
ejpam-6237	52	16	the	the	DET
ejpam-6237	52	17	slope	slope	NOUN
ejpam-6237	52	18	is	be	AUX
ejpam-6237	52	19	equal	equal	ADJ
ejpam-6237	52	20	the	the	DET
ejpam-6237	52	21	average	average	NOUN
ejpam-6237	52	22	of	of	ADP
ejpam-6237	52	23	the	the	DET
ejpam-6237	52	24	second	second	ADJ
ejpam-6237	52	25	-	-	PUNCT
ejpam-6237	52	26	order	order	NOUN
ejpam-6237	52	27	contraharmonic	contraharmonic	NOUN
ejpam-6237	52	28	mean	mean	NOUN
ejpam-6237	52	29	and	and	CCONJ
ejpam-6237	52	30	the	the	DET
ejpam-6237	52	31	arithmetic	arithmetic	ADJ
ejpam-6237	52	32	mean	mean	NOUN
ejpam-6237	52	33	,	,	PUNCT
ejpam-6237	52	34	which	which	PRON
ejpam-6237	52	35	is	be	AUX
ejpam-6237	52	36	given	give	VERB
ejpam-6237	52	37	by	by	ADP
ejpam-6237	52	38	yi+1	yi+1	X
ejpam-6237	52	39	=	=	SYM
ejpam-6237	52	40	yi	yi	PROPN
ejpam-6237	52	41	+	+	CCONJ
ejpam-6237	52	42	h	h	NOUN
ejpam-6237	52	43	2	2	NUM
ejpam-6237	52	44	(	(	PUNCT
ejpam-6237	52	45	γ1	γ1	NOUN
ejpam-6237	52	46	+	+	CCONJ
ejpam-6237	52	47	γ2	γ2	PROPN
ejpam-6237	52	48	2	2	NUM
ejpam-6237	52	49	+	+	CCONJ
ejpam-6237	52	50	γ21	γ21	ADJ
ejpam-6237	52	51	+	+	CCONJ
ejpam-6237	52	52	γ22	γ22	NOUN
ejpam-6237	52	53	γ1	γ1	NOUN
ejpam-6237	52	54	+	+	CCONJ
ejpam-6237	52	55	γ2	γ2	NOUN
ejpam-6237	52	56	)	)	PUNCT
ejpam-6237	52	57	.	.	PUNCT
ejpam-6237	53	1	(	(	PUNCT
ejpam-6237	53	2	7	7	X
ejpam-6237	53	3	)	)	PUNCT
ejpam-6237	53	4	the	the	DET
ejpam-6237	53	5	method	method	NOUN
ejpam-6237	53	6	described	describe	VERB
ejpam-6237	53	7	by	by	ADP
ejpam-6237	53	8	(	(	PUNCT
ejpam-6237	53	9	7	7	X
ejpam-6237	53	10	)	)	PUNCT
ejpam-6237	53	11	will	will	AUX
ejpam-6237	53	12	be	be	AUX
ejpam-6237	53	13	referred	refer	VERB
ejpam-6237	53	14	to	to	ADP
ejpam-6237	53	15	as	as	ADP
ejpam-6237	53	16	cam	cam	NOUN
ejpam-6237	53	17	from	from	ADP
ejpam-6237	53	18	this	this	DET
ejpam-6237	53	19	point	point	NOUN
ejpam-6237	53	20	on	on	ADP
ejpam-6237	53	21	.	.	PUNCT
ejpam-6237	54	1	syamsudhuha	syamsudhuha	PROPN
ejpam-6237	54	2	et	et	PROPN
ejpam-6237	54	3	al	al	PROPN
ejpam-6237	54	4	.	.	PUNCT
ejpam-6237	54	5	/	/	SYM
ejpam-6237	54	6	eur	eur	PROPN
ejpam-6237	54	7	.	.	PUNCT
ejpam-6237	55	1	j.	j.	PROPN
ejpam-6237	55	2	pure	pure	PROPN
ejpam-6237	55	3	appl	appl	PROPN
ejpam-6237	55	4	.	.	PROPN
ejpam-6237	55	5	math	math	PROPN
ejpam-6237	55	6	,	,	PUNCT
ejpam-6237	55	7	18	18	NUM
ejpam-6237	55	8	(	(	PUNCT
ejpam-6237	55	9	3	3	NUM
ejpam-6237	55	10	)	)	PUNCT
ejpam-6237	55	11	(	(	PUNCT
ejpam-6237	55	12	2025	2025	NUM
ejpam-6237	55	13	)	)	PUNCT
ejpam-6237	55	14	,	,	PUNCT
ejpam-6237	55	15	6237	6237	NUM
ejpam-6237	55	16	4	4	NUM
ejpam-6237	55	17	of	of	ADP
ejpam-6237	55	18	15	15	NUM
ejpam-6237	55	19	inspired	inspire	VERB
ejpam-6237	55	20	by	by	ADP
ejpam-6237	55	21	the	the	DET
ejpam-6237	55	22	modification	modification	NOUN
ejpam-6237	55	23	done	do	VERB
ejpam-6237	55	24	in	in	ADP
ejpam-6237	55	25	[	[	X
ejpam-6237	55	26	5	5	NUM
ejpam-6237	55	27	]	]	PUNCT
ejpam-6237	56	1	,	,	PUNCT
ejpam-6237	56	2	we	we	PRON
ejpam-6237	56	3	make	make	VERB
ejpam-6237	56	4	the	the	DET
ejpam-6237	56	5	assumption	assumption	NOUN
ejpam-6237	56	6	that	that	SCONJ
ejpam-6237	56	7	the	the	DET
ejpam-6237	56	8	slope	slope	NOUN
ejpam-6237	56	9	is	be	AUX
ejpam-6237	56	10	the	the	DET
ejpam-6237	56	11	average	average	NOUN
ejpam-6237	56	12	of	of	ADP
ejpam-6237	56	13	the	the	DET
ejpam-6237	56	14	contraharmonic	contraharmonic	ADJ
ejpam-6237	56	15	mean	mean	NOUN
ejpam-6237	56	16	and	and	CCONJ
ejpam-6237	56	17	centroidal	centroidal	PROPN
ejpam-6237	56	18	mean	mean	NOUN
ejpam-6237	56	19	.	.	PUNCT
ejpam-6237	57	1	hence	hence	ADV
ejpam-6237	57	2	,	,	PUNCT
ejpam-6237	57	3	our	our	PRON
ejpam-6237	57	4	proposed	propose	VERB
ejpam-6237	57	5	method	method	NOUN
ejpam-6237	57	6	is	be	AUX
ejpam-6237	57	7	given	give	VERB
ejpam-6237	57	8	by	by	ADP
ejpam-6237	57	9	yci+1	yci+1	PROPN
ejpam-6237	57	10	=	=	SYM
ejpam-6237	57	11	yi	yi	PROPN
ejpam-6237	57	12	+	+	CCONJ
ejpam-6237	57	13	h	h	NOUN
ejpam-6237	57	14	2	2	NUM
ejpam-6237	57	15	(	(	PUNCT
ejpam-6237	57	16	γ21	γ21	NOUN
ejpam-6237	57	17	+	+	NUM
ejpam-6237	57	18	γ22	γ22	NOUN
ejpam-6237	57	19	γ1	γ1	NOUN
ejpam-6237	57	20	+	+	CCONJ
ejpam-6237	58	1	γ2	γ2	PROPN
ejpam-6237	58	2	+	+	CCONJ
ejpam-6237	58	3	2	2	NUM
ejpam-6237	58	4	(	(	PUNCT
ejpam-6237	58	5	γ21	γ21	NOUN
ejpam-6237	58	6	+	+	CCONJ
ejpam-6237	58	7	γ1γ2	γ1γ2	NOUN
ejpam-6237	58	8	+	+	CCONJ
ejpam-6237	58	9	γ22	γ22	NOUN
ejpam-6237	58	10	)	)	PUNCT
ejpam-6237	58	11	3	3	NUM
ejpam-6237	58	12	(	(	PUNCT
ejpam-6237	58	13	γ1	γ1	NOUN
ejpam-6237	58	14	+	+	CCONJ
ejpam-6237	58	15	γ2	γ2	NOUN
ejpam-6237	58	16	)	)	PUNCT
ejpam-6237	58	17	)	)	PUNCT
ejpam-6237	58	18	,	,	PUNCT
ejpam-6237	58	19	(	(	PUNCT
ejpam-6237	58	20	8)	8)	NUM
ejpam-6237	58	21	where	where	SCONJ
ejpam-6237	58	22	γ1	γ1	NOUN
ejpam-6237	58	23	and	and	CCONJ
ejpam-6237	58	24	γ2	γ2	PROPN
ejpam-6237	58	25	are	be	AUX
ejpam-6237	58	26	(	(	PUNCT
ejpam-6237	58	27	5	5	NUM
ejpam-6237	58	28	)	)	PUNCT
ejpam-6237	58	29	and	and	CCONJ
ejpam-6237	58	30	(	(	PUNCT
ejpam-6237	58	31	6	6	NUM
ejpam-6237	58	32	)	)	PUNCT
ejpam-6237	58	33	respectively	respectively	ADV
ejpam-6237	58	34	.	.	PUNCT
ejpam-6237	59	1	the	the	DET
ejpam-6237	59	2	method	method	NOUN
ejpam-6237	59	3	defined	define	VERB
ejpam-6237	59	4	by	by	ADP
ejpam-6237	59	5	equation	equation	NOUN
ejpam-6237	59	6	(	(	PUNCT
ejpam-6237	59	7	8)	8)	NUM
ejpam-6237	59	8	will	will	AUX
ejpam-6237	59	9	be	be	AUX
ejpam-6237	59	10	referred	refer	VERB
ejpam-6237	59	11	to	to	ADP
ejpam-6237	59	12	as	as	ADP
ejpam-6237	59	13	cch	cch	PROPN
ejpam-6237	59	14	for	for	ADP
ejpam-6237	59	15	the	the	DET
ejpam-6237	59	16	rest	rest	NOUN
ejpam-6237	59	17	of	of	ADP
ejpam-6237	59	18	the	the	DET
ejpam-6237	59	19	article	article	NOUN
ejpam-6237	59	20	.	.	PUNCT
ejpam-6237	60	1	the	the	DET
ejpam-6237	60	2	following	follow	VERB
ejpam-6237	60	3	subsections	subsection	NOUN
ejpam-6237	60	4	provide	provide	VERB
ejpam-6237	60	5	the	the	DET
ejpam-6237	60	6	stability	stability	NOUN
ejpam-6237	60	7	,	,	PUNCT
ejpam-6237	60	8	consistency	consistency	NOUN
ejpam-6237	60	9	analysis	analysis	NOUN
ejpam-6237	60	10	and	and	CCONJ
ejpam-6237	60	11	the	the	DET
ejpam-6237	60	12	local	local	ADJ
ejpam-6237	60	13	truncation	truncation	NOUN
ejpam-6237	60	14	error	error	NOUN
ejpam-6237	60	15	analysis	analysis	NOUN
ejpam-6237	60	16	of	of	ADP
ejpam-6237	60	17	the	the	DET
ejpam-6237	60	18	suggested	suggest	VERB
ejpam-6237	60	19	method	method	NOUN
ejpam-6237	60	20	.	.	PUNCT
ejpam-6237	61	1	2.2	2.2	NUM
ejpam-6237	61	2	.	.	PUNCT
ejpam-6237	62	1	stability	stability	NOUN
ejpam-6237	62	2	analysis	analysis	NOUN
ejpam-6237	62	3	to	to	PART
ejpam-6237	62	4	analyze	analyze	VERB
ejpam-6237	62	5	the	the	DET
ejpam-6237	62	6	stability	stability	NOUN
ejpam-6237	62	7	of	of	ADP
ejpam-6237	62	8	the	the	DET
ejpam-6237	62	9	cch	cch	NOUN
ejpam-6237	62	10	,	,	PUNCT
ejpam-6237	62	11	we	we	PRON
ejpam-6237	62	12	employ	employ	VERB
ejpam-6237	62	13	dahlquist	dahlquist	NOUN
ejpam-6237	62	14	’s	’s	PART
ejpam-6237	62	15	test	test	NOUN
ejpam-6237	62	16	problem	problem	NOUN
ejpam-6237	62	17	[	[	X
ejpam-6237	62	18	15	15	NUM
ejpam-6237	62	19	]	]	PUNCT
ejpam-6237	62	20	,	,	PUNCT
ejpam-6237	62	21	defined	define	VERB
ejpam-6237	62	22	by	by	ADP
ejpam-6237	62	23	dy	dy	NOUN
ejpam-6237	62	24	dx	dx	PROPN
ejpam-6237	62	25	=	=	SYM
ejpam-6237	62	26	λy	λy	PROPN
ejpam-6237	62	27	;	;	PUNCT
ejpam-6237	62	28	y(x0	y(x0	NOUN
ejpam-6237	62	29	)	)	PUNCT
ejpam-6237	63	1	=	=	SYM
ejpam-6237	63	2	1	1	NUM
ejpam-6237	63	3	,	,	PUNCT
ejpam-6237	63	4	λ	λ	PROPN
ejpam-6237	63	5	∈	∈	PROPN
ejpam-6237	63	6	c.	c.	NOUN
ejpam-6237	63	7	(	(	PUNCT
ejpam-6237	63	8	9	9	X
ejpam-6237	63	9	)	)	PUNCT
ejpam-6237	63	10	the	the	DET
ejpam-6237	63	11	stability	stability	NOUN
ejpam-6237	63	12	of	of	ADP
ejpam-6237	63	13	cch	cch	PROPN
ejpam-6237	63	14	is	be	AUX
ejpam-6237	63	15	satisfied	satisfied	ADJ
ejpam-6237	63	16	when	when	SCONJ
ejpam-6237	63	17	y(xi	y(xi	X
ejpam-6237	63	18	)	)	PUNCT
ejpam-6237	63	19	−→	−→	NOUN
ejpam-6237	63	20	0	0	PUNCT
ejpam-6237	63	21	as	as	SCONJ
ejpam-6237	63	22	i	i	PRON
ejpam-6237	63	23	−→	−→	VERB
ejpam-6237	63	24	∞	∞	PROPN
ejpam-6237	63	25	,	,	PUNCT
ejpam-6237	63	26	(	(	PUNCT
ejpam-6237	63	27	10	10	NUM
ejpam-6237	63	28	)	)	PUNCT
ejpam-6237	63	29	for	for	ADP
ejpam-6237	63	30	any	any	DET
ejpam-6237	63	31	stepsize	stepsize	NOUN
ejpam-6237	63	32	h	h	NOUN
ejpam-6237	63	33	>	>	X
ejpam-6237	63	34	0	0	X
ejpam-6237	63	35	.	.	PUNCT
ejpam-6237	64	1	we	we	PRON
ejpam-6237	64	2	begin	begin	VERB
ejpam-6237	64	3	the	the	DET
ejpam-6237	64	4	stability	stability	NOUN
ejpam-6237	64	5	analysis	analysis	NOUN
ejpam-6237	64	6	of	of	ADP
ejpam-6237	64	7	cch	cch	NOUN
ejpam-6237	64	8	by	by	ADP
ejpam-6237	64	9	substituting	substitute	VERB
ejpam-6237	64	10	(	(	PUNCT
ejpam-6237	64	11	9	9	NUM
ejpam-6237	64	12	)	)	PUNCT
ejpam-6237	64	13	into	into	ADP
ejpam-6237	64	14	(	(	PUNCT
ejpam-6237	64	15	8)	8)	NUM
ejpam-6237	64	16	and	and	CCONJ
ejpam-6237	64	17	simplifying	simplifying	NOUN
ejpam-6237	64	18	,	,	PUNCT
ejpam-6237	64	19	which	which	PRON
ejpam-6237	64	20	results	result	VERB
ejpam-6237	64	21	in	in	ADP
ejpam-6237	64	22	yci+1	yci+1	NOUN
ejpam-6237	64	23	=	=	SYM
ejpam-6237	64	24	yi	yi	PROPN
ejpam-6237	64	25	+	+	CCONJ
ejpam-6237	64	26	h	h	NOUN
ejpam-6237	65	1	2	2	NUM
ejpam-6237	65	2	(λyi)2	(λyi)2	NOUN
ejpam-6237	65	3	+	+	CCONJ
ejpam-6237	65	4	(	(	PUNCT
ejpam-6237	65	5	λypi+1	λypi+1	NOUN
ejpam-6237	65	6	)	)	PUNCT
ejpam-6237	65	7	2	2	NUM
ejpam-6237	65	8	λyi	λyi	NOUN
ejpam-6237	65	9	+	+	CCONJ
ejpam-6237	65	10	λypi+1	λypi+1	X
ejpam-6237	66	1	+	+	X
ejpam-6237	66	2	2	2	NUM
ejpam-6237	66	3	(	(	PUNCT
ejpam-6237	66	4	λy2i	λy2i	X
ejpam-6237	66	5	+	+	NUM
ejpam-6237	66	6	λyiλy	λyiλy	NOUN
ejpam-6237	66	7	p	p	NOUN
ejpam-6237	66	8	i+1	i+1	X
ejpam-6237	66	9	+	+	CCONJ
ejpam-6237	66	10	(	(	PUNCT
ejpam-6237	66	11	λypi+1	λypi+1	PROPN
ejpam-6237	66	12	)	)	PUNCT
ejpam-6237	66	13	2	2	NUM
ejpam-6237	66	14	)	)	PUNCT
ejpam-6237	66	15	3	3	NUM
ejpam-6237	66	16	(	(	PUNCT
ejpam-6237	66	17	λyi	λyi	NOUN
ejpam-6237	66	18	+	+	CCONJ
ejpam-6237	66	19	λypi+1	λypi+1	NOUN
ejpam-6237	66	20	)	)	PUNCT
ejpam-6237	66	21			NOUN
ejpam-6237	66	22	=	=	PUNCT
ejpam-6237	66	23	yi	yi	PROPN
ejpam-6237	67	1	+	+	CCONJ
ejpam-6237	67	2	h	h	NOUN
ejpam-6237	67	3	2	2	NUM
ejpam-6237	67	4	[	[	PUNCT
ejpam-6237	67	5	(	(	PUNCT
ejpam-6237	67	6	λyi	λyi	NOUN
ejpam-6237	67	7	)	)	PUNCT
ejpam-6237	67	8	2	2	NUM
ejpam-6237	68	1	+	+	CCONJ
ejpam-6237	68	2	(	(	PUNCT
ejpam-6237	68	3	λ	λ	X
ejpam-6237	68	4	(	(	PUNCT
ejpam-6237	68	5	yi	yi	NOUN
ejpam-6237	68	6	+	+	CCONJ
ejpam-6237	68	7	hλyi	hλyi	NOUN
ejpam-6237	68	8	)	)	PUNCT
ejpam-6237	68	9	)	)	PUNCT
ejpam-6237	68	10	2	2	NUM
ejpam-6237	68	11	λyiλ	λyiλ	NOUN
ejpam-6237	68	12	(	(	PUNCT
ejpam-6237	68	13	yi	yi	NOUN
ejpam-6237	68	14	+	+	CCONJ
ejpam-6237	68	15	hλyi	hλyi	NOUN
ejpam-6237	68	16	)	)	PUNCT
ejpam-6237	69	1	+	+	CCONJ
ejpam-6237	69	2	2	2	NUM
ejpam-6237	69	3	(	(	PUNCT
ejpam-6237	69	4	(	(	PUNCT
ejpam-6237	69	5	λyi	λyi	NOUN
ejpam-6237	69	6	)	)	PUNCT
ejpam-6237	69	7	2	2	NUM
ejpam-6237	69	8	+	+	NUM
ejpam-6237	69	9	λyi	λyi	NOUN
ejpam-6237	69	10	(	(	PUNCT
ejpam-6237	69	11	λ	λ	PROPN
ejpam-6237	69	12	(	(	PUNCT
ejpam-6237	69	13	yi	yi	NOUN
ejpam-6237	69	14	+	+	CCONJ
ejpam-6237	69	15	hλyi	hλyi	NOUN
ejpam-6237	69	16	)	)	PUNCT
ejpam-6237	69	17	)	)	PUNCT
ejpam-6237	70	1	+	+	CCONJ
ejpam-6237	70	2	(	(	PUNCT
ejpam-6237	70	3	λ	λ	INTJ
ejpam-6237	70	4	(	(	PUNCT
ejpam-6237	70	5	yi	yi	NOUN
ejpam-6237	70	6	+	+	CCONJ
ejpam-6237	70	7	hλyi	hλyi	NOUN
ejpam-6237	70	8	)	)	PUNCT
ejpam-6237	70	9	)	)	PUNCT
ejpam-6237	70	10	2	2	NUM
ejpam-6237	70	11	)	)	PUNCT
ejpam-6237	70	12	3	3	NUM
ejpam-6237	70	13	(	(	PUNCT
ejpam-6237	70	14	λyi	λyi	NOUN
ejpam-6237	70	15	+	+	CCONJ
ejpam-6237	70	16	(	(	PUNCT
ejpam-6237	70	17	λ	λ	X
ejpam-6237	70	18	(	(	PUNCT
ejpam-6237	70	19	yi	yi	NOUN
ejpam-6237	70	20	+	+	CCONJ
ejpam-6237	70	21	hλyi	hλyi	NOUN
ejpam-6237	70	22	)	)	PUNCT
ejpam-6237	70	23	)	)	PUNCT
ejpam-6237	70	24	)	)	PUNCT
ejpam-6237	70	25	]	]	PUNCT
ejpam-6237	71	1	yci+1	yci+1	NOUN
ejpam-6237	71	2	=	=	PUNCT
ejpam-6237	72	1	[	[	PUNCT
ejpam-6237	72	2	1	1	NUM
ejpam-6237	72	3	+	+	SYM
ejpam-6237	72	4	5	5	NUM
ejpam-6237	72	5	(	(	PUNCT
ejpam-6237	72	6	h3λ3	h3λ3	ADP
ejpam-6237	72	7	+	+	X
ejpam-6237	72	8	2h2λ2	2h2λ2	NUM
ejpam-6237	72	9	+	+	CCONJ
ejpam-6237	72	10	2hλ	2hλ	ADJ
ejpam-6237	72	11	)	)	PUNCT
ejpam-6237	72	12	6	6	NUM
ejpam-6237	72	13	(	(	PUNCT
ejpam-6237	72	14	hλ+	hλ+	NOUN
ejpam-6237	72	15	2	2	NUM
ejpam-6237	72	16	)	)	PUNCT
ejpam-6237	72	17	]	]	PUNCT
ejpam-6237	73	1	yi	yi	X
ejpam-6237	73	2	.	.	PUNCT
ejpam-6237	74	1	(	(	PUNCT
ejpam-6237	74	2	11	11	NUM
ejpam-6237	74	3	)	)	PUNCT
ejpam-6237	74	4	after	after	ADP
ejpam-6237	74	5	running	run	VERB
ejpam-6237	74	6	the	the	DET
ejpam-6237	74	7	iteration	iteration	NOUN
ejpam-6237	74	8	for	for	ADP
ejpam-6237	74	9	i	i	PROPN
ejpam-6237	74	10	=	=	SYM
ejpam-6237	74	11	0	0	NUM
ejpam-6237	74	12	,	,	PUNCT
ejpam-6237	74	13	1	1	NUM
ejpam-6237	74	14	,	,	PUNCT
ejpam-6237	74	15	2	2	NUM
ejpam-6237	74	16	,	,	PUNCT
ejpam-6237	74	17	.	.	PUNCT
ejpam-6237	74	18	.	.	PUNCT
ejpam-6237	74	19	.	.	PUNCT
ejpam-6237	75	1	,	,	PUNCT
ejpam-6237	75	2	n	n	CCONJ
ejpam-6237	75	3	,	,	PUNCT
ejpam-6237	75	4	for	for	ADP
ejpam-6237	75	5	any	any	DET
ejpam-6237	75	6	large	large	ADJ
ejpam-6237	75	7	integer	integer	NOUN
ejpam-6237	75	8	n	n	CCONJ
ejpam-6237	75	9	,	,	PUNCT
ejpam-6237	75	10	we	we	PRON
ejpam-6237	75	11	obtain	obtain	VERB
ejpam-6237	75	12	ycn	ycn	NOUN
ejpam-6237	75	13	=	=	PUNCT
ejpam-6237	76	1	[	[	PUNCT
ejpam-6237	76	2	1	1	NUM
ejpam-6237	76	3	+	+	SYM
ejpam-6237	76	4	5	5	NUM
ejpam-6237	76	5	(	(	PUNCT
ejpam-6237	76	6	h3λ3	h3λ3	ADP
ejpam-6237	76	7	+	+	X
ejpam-6237	76	8	2h2λ2	2h2λ2	NUM
ejpam-6237	76	9	+	+	CCONJ
ejpam-6237	76	10	2hλ	2hλ	ADJ
ejpam-6237	76	11	)	)	PUNCT
ejpam-6237	76	12	6	6	NUM
ejpam-6237	76	13	(	(	PUNCT
ejpam-6237	76	14	hλ+	hλ+	NOUN
ejpam-6237	76	15	2	2	NUM
ejpam-6237	76	16	)	)	PUNCT
ejpam-6237	76	17	]	]	PUNCT
ejpam-6237	76	18	n	n	X
ejpam-6237	76	19	.	.	PUNCT
ejpam-6237	77	1	(	(	PUNCT
ejpam-6237	77	2	12	12	X
ejpam-6237	77	3	)	)	PUNCT
ejpam-6237	77	4	letting	let	VERB
ejpam-6237	77	5	z	z	NOUN
ejpam-6237	77	6	=	=	SYM
ejpam-6237	77	7	hλ	hλ	NOUN
ejpam-6237	77	8	,	,	PUNCT
ejpam-6237	77	9	the	the	DET
ejpam-6237	77	10	stability	stability	NOUN
ejpam-6237	77	11	function	function	NOUN
ejpam-6237	77	12	becomes	become	VERB
ejpam-6237	77	13	ycn	ycn	NOUN
ejpam-6237	77	14	=	=	PUNCT
ejpam-6237	77	15	(	(	PUNCT
ejpam-6237	77	16	1	1	NUM
ejpam-6237	77	17	+	+	NUM
ejpam-6237	77	18	5	5	NUM
ejpam-6237	77	19	(	(	PUNCT
ejpam-6237	77	20	z3	z3	NOUN
ejpam-6237	77	21	+	+	CCONJ
ejpam-6237	77	22	2z2	2z2	NUM
ejpam-6237	77	23	+	+	CCONJ
ejpam-6237	77	24	2z	2z	NUM
ejpam-6237	77	25	)	)	PUNCT
ejpam-6237	77	26	6	6	NUM
ejpam-6237	77	27	(	(	PUNCT
ejpam-6237	77	28	z	z	NOUN
ejpam-6237	77	29	+	+	NOUN
ejpam-6237	77	30	2	2	NUM
ejpam-6237	77	31	)	)	PUNCT
ejpam-6237	77	32	)	)	PUNCT
ejpam-6237	77	33	n	n	X
ejpam-6237	78	1	,	,	PUNCT
ejpam-6237	78	2	(	(	PUNCT
ejpam-6237	78	3	13	13	NUM
ejpam-6237	78	4	)	)	PUNCT
ejpam-6237	78	5	syamsudhuha	syamsudhuha	NOUN
ejpam-6237	78	6	et	et	PROPN
ejpam-6237	78	7	al	al	PROPN
ejpam-6237	78	8	.	.	PUNCT
ejpam-6237	78	9	/	/	SYM
ejpam-6237	78	10	eur	eur	PROPN
ejpam-6237	78	11	.	.	PUNCT
ejpam-6237	79	1	j.	j.	PROPN
ejpam-6237	79	2	pure	pure	PROPN
ejpam-6237	79	3	appl	appl	PROPN
ejpam-6237	79	4	.	.	PROPN
ejpam-6237	79	5	math	math	PROPN
ejpam-6237	79	6	,	,	PUNCT
ejpam-6237	79	7	18	18	NUM
ejpam-6237	79	8	(	(	PUNCT
ejpam-6237	79	9	3	3	NUM
ejpam-6237	79	10	)	)	PUNCT
ejpam-6237	79	11	(	(	PUNCT
ejpam-6237	79	12	2025	2025	NUM
ejpam-6237	79	13	)	)	PUNCT
ejpam-6237	79	14	,	,	PUNCT
ejpam-6237	79	15	6237	6237	NUM
ejpam-6237	79	16	5	5	NUM
ejpam-6237	79	17	of	of	ADP
ejpam-6237	79	18	15	15	NUM
ejpam-6237	79	19	and	and	CCONJ
ejpam-6237	79	20	the	the	DET
ejpam-6237	79	21	stability	stability	NOUN
ejpam-6237	79	22	region	region	NOUN
ejpam-6237	79	23	is	be	AUX
ejpam-6237	79	24	|g(z)|	|g(z)|	NOUN
ejpam-6237	79	25	=	=	PRON
ejpam-6237	79	26	∣∣∣∣∣1	∣∣∣∣∣1	VERB
ejpam-6237	79	27	+	+	CCONJ
ejpam-6237	79	28	5	5	NUM
ejpam-6237	79	29	(	(	PUNCT
ejpam-6237	79	30	z3	z3	NOUN
ejpam-6237	79	31	+	+	CCONJ
ejpam-6237	79	32	2z2	2z2	NUM
ejpam-6237	79	33	+	+	CCONJ
ejpam-6237	79	34	2z	2z	NUM
ejpam-6237	79	35	)	)	PUNCT
ejpam-6237	79	36	6	6	NUM
ejpam-6237	79	37	(	(	PUNCT
ejpam-6237	79	38	z	z	NOUN
ejpam-6237	79	39	+	+	NOUN
ejpam-6237	80	1	2	2	NUM
ejpam-6237	80	2	)	)	PUNCT
ejpam-6237	80	3	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6237	80	4	≤	≤	NOUN
ejpam-6237	80	5	1	1	NUM
ejpam-6237	80	6	.	.	PUNCT
ejpam-6237	81	1	(	(	PUNCT
ejpam-6237	81	2	14	14	NUM
ejpam-6237	81	3	)	)	PUNCT
ejpam-6237	81	4	the	the	DET
ejpam-6237	81	5	following	follow	VERB
ejpam-6237	81	6	figure	figure	NOUN
ejpam-6237	81	7	shows	show	VERB
ejpam-6237	81	8	the	the	DET
ejpam-6237	81	9	stability	stability	NOUN
ejpam-6237	81	10	region	region	NOUN
ejpam-6237	81	11	of	of	ADP
ejpam-6237	81	12	cch	cch	PROPN
ejpam-6237	81	13	method	method	NOUN
ejpam-6237	81	14	,	,	PUNCT
ejpam-6237	81	15	which	which	PRON
ejpam-6237	81	16	was	be	AUX
ejpam-6237	81	17	determined	determine	VERB
ejpam-6237	81	18	by	by	ADP
ejpam-6237	81	19	evaluating	evaluate	VERB
ejpam-6237	81	20	the	the	DET
ejpam-6237	81	21	method	method	NOUN
ejpam-6237	81	22	over	over	ADP
ejpam-6237	81	23	a	a	DET
ejpam-6237	81	24	grid	grid	NOUN
ejpam-6237	81	25	in	in	ADP
ejpam-6237	81	26	the	the	DET
ejpam-6237	81	27	complex	complex	ADJ
ejpam-6237	81	28	plane	plane	NOUN
ejpam-6237	81	29	.	.	PUNCT
ejpam-6237	82	1	the	the	DET
ejpam-6237	82	2	horizontal	horizontal	ADJ
ejpam-6237	82	3	axis	axis	NOUN
ejpam-6237	82	4	represents	represent	VERB
ejpam-6237	82	5	the	the	DET
ejpam-6237	82	6	real	real	ADJ
ejpam-6237	82	7	part	part	NOUN
ejpam-6237	82	8	of	of	ADP
ejpam-6237	82	9	the	the	DET
ejpam-6237	82	10	complex	complex	ADJ
ejpam-6237	82	11	variable	variable	ADJ
ejpam-6237	82	12	z	z	NOUN
ejpam-6237	82	13	,	,	PUNCT
ejpam-6237	82	14	re(z	re(z	NOUN
ejpam-6237	82	15	)	)	PUNCT
ejpam-6237	82	16	,	,	PUNCT
ejpam-6237	82	17	ranging	range	VERB
ejpam-6237	82	18	from	from	ADP
ejpam-6237	82	19	−3	−3	PROPN
ejpam-6237	82	20	to	to	ADP
ejpam-6237	82	21	2	2	NUM
ejpam-6237	82	22	,	,	PUNCT
ejpam-6237	82	23	while	while	SCONJ
ejpam-6237	82	24	the	the	DET
ejpam-6237	82	25	the	the	DET
ejpam-6237	82	26	vertical	vertical	ADJ
ejpam-6237	82	27	axis	axis	NOUN
ejpam-6237	82	28	represents	represent	VERB
ejpam-6237	82	29	the	the	DET
ejpam-6237	82	30	imaginary	imaginary	ADJ
ejpam-6237	82	31	part	part	NOUN
ejpam-6237	82	32	,	,	PUNCT
ejpam-6237	82	33	im(z	im(z	NOUN
ejpam-6237	82	34	)	)	PUNCT
ejpam-6237	82	35	,	,	PUNCT
ejpam-6237	82	36	ranging	range	VERB
ejpam-6237	82	37	from	from	ADP
ejpam-6237	82	38	−3	−3	PROPN
ejpam-6237	82	39	to	to	ADP
ejpam-6237	82	40	3	3	NUM
ejpam-6237	82	41	.	.	PUNCT
ejpam-6237	83	1	in	in	ADP
ejpam-6237	83	2	this	this	DET
ejpam-6237	83	3	plot	plot	NOUN
ejpam-6237	83	4	,	,	PUNCT
ejpam-6237	83	5	the	the	DET
ejpam-6237	83	6	white	white	ADJ
ejpam-6237	83	7	(	(	PUNCT
ejpam-6237	83	8	unshaded	unshaded	ADJ
ejpam-6237	83	9	)	)	PUNCT
ejpam-6237	83	10	region	region	NOUN
ejpam-6237	83	11	represents	represent	VERB
ejpam-6237	83	12	the	the	DET
ejpam-6237	83	13	stability	stability	NOUN
ejpam-6237	83	14	region	region	NOUN
ejpam-6237	83	15	(	(	PUNCT
ejpam-6237	83	16	g(z	g(z	PROPN
ejpam-6237	83	17	)	)	PUNCT
ejpam-6237	83	18	)	)	PUNCT
ejpam-6237	83	19	of	of	ADP
ejpam-6237	83	20	cch	cch	PROPN
ejpam-6237	83	21	method	method	NOUN
ejpam-6237	83	22	.	.	PUNCT
ejpam-6237	84	1	this	this	PRON
ejpam-6237	84	2	is	be	AUX
ejpam-6237	84	3	the	the	DET
ejpam-6237	84	4	set	set	NOUN
ejpam-6237	84	5	of	of	ADP
ejpam-6237	84	6	all	all	DET
ejpam-6237	84	7	complex	complex	ADJ
ejpam-6237	84	8	value	value	NOUN
ejpam-6237	84	9	z	z	PROPN
ejpam-6237	84	10	∈	∈	PROPN
ejpam-6237	84	11	c	c	NOUN
ejpam-6237	84	12	for	for	ADP
ejpam-6237	84	13	which	which	PRON
ejpam-6237	84	14	the	the	DET
ejpam-6237	84	15	numerical	numerical	ADJ
ejpam-6237	84	16	method	method	NOUN
ejpam-6237	84	17	remains	remain	VERB
ejpam-6237	84	18	stable	stable	ADJ
ejpam-6237	84	19	when	when	SCONJ
ejpam-6237	84	20	applied	apply	VERB
ejpam-6237	84	21	to	to	ADP
ejpam-6237	84	22	the	the	DET
ejpam-6237	84	23	test	test	NOUN
ejpam-6237	84	24	equation	equation	NOUN
ejpam-6237	84	25	(	(	PUNCT
ejpam-6237	84	26	9	9	NUM
ejpam-6237	84	27	)	)	PUNCT
ejpam-6237	84	28	.	.	PUNCT
ejpam-6237	85	1	the	the	DET
ejpam-6237	85	2	green	green	PROPN
ejpam-6237	85	3	shaded	shaded	PROPN
ejpam-6237	85	4	region	region	NOUN
ejpam-6237	85	5	corresponds	correspond	VERB
ejpam-6237	85	6	to	to	ADP
ejpam-6237	85	7	values	value	NOUN
ejpam-6237	85	8	of	of	ADP
ejpam-6237	85	9	z	z	NOUN
ejpam-6237	85	10	where	where	SCONJ
ejpam-6237	85	11	the	the	DET
ejpam-6237	85	12	method	method	NOUN
ejpam-6237	85	13	is	be	AUX
ejpam-6237	85	14	unstable	unstable	ADJ
ejpam-6237	85	15	.	.	PUNCT
ejpam-6237	86	1	figure	figure	VERB
ejpam-6237	86	2	1	1	NUM
ejpam-6237	86	3	:	:	PUNCT
ejpam-6237	86	4	stability	stability	NOUN
ejpam-6237	86	5	region	region	NOUN
ejpam-6237	86	6	of	of	ADP
ejpam-6237	86	7	cch	cch	PROPN
ejpam-6237	86	8	method	method	NOUN
ejpam-6237	86	9	2.3	2.3	NUM
ejpam-6237	86	10	.	.	PUNCT
ejpam-6237	87	1	consistency	consistency	NOUN
ejpam-6237	87	2	analysis	analysis	NOUN
ejpam-6237	87	3	according	accord	VERB
ejpam-6237	87	4	to	to	ADP
ejpam-6237	87	5	[	[	X
ejpam-6237	87	6	15	15	NUM
ejpam-6237	87	7	]	]	PUNCT
ejpam-6237	87	8	,	,	PUNCT
ejpam-6237	87	9	equation	equation	NOUN
ejpam-6237	87	10	(	(	PUNCT
ejpam-6237	87	11	3	3	X
ejpam-6237	87	12	)	)	PUNCT
ejpam-6237	87	13	can	can	AUX
ejpam-6237	87	14	be	be	AUX
ejpam-6237	87	15	written	write	VERB
ejpam-6237	87	16	in	in	ADP
ejpam-6237	87	17	the	the	DET
ejpam-6237	87	18	form	form	NOUN
ejpam-6237	87	19	of	of	ADP
ejpam-6237	87	20	yi+1	yi+1	NOUN
ejpam-6237	87	21	=	=	SYM
ejpam-6237	87	22	yi	yi	PROPN
ejpam-6237	87	23	+	+	CCONJ
ejpam-6237	87	24	hϕ(xi	hϕ(xi	PROPN
ejpam-6237	87	25	,	,	PUNCT
ejpam-6237	87	26	yi	yi	PROPN
ejpam-6237	87	27	,	,	PUNCT
ejpam-6237	87	28	h	h	NOUN
ejpam-6237	87	29	)	)	PUNCT
ejpam-6237	87	30	(	(	PUNCT
ejpam-6237	87	31	15	15	NUM
ejpam-6237	87	32	)	)	PUNCT
ejpam-6237	87	33	and	and	CCONJ
ejpam-6237	87	34	the	the	DET
ejpam-6237	87	35	consistency	consistency	NOUN
ejpam-6237	87	36	is	be	AUX
ejpam-6237	87	37	preserved	preserve	VERB
ejpam-6237	87	38	if	if	SCONJ
ejpam-6237	87	39	lim	lim	PROPN
ejpam-6237	87	40	h→0	h→0	ADV
ejpam-6237	87	41	ϕ(xi	ϕ(xi	PROPN
ejpam-6237	87	42	,	,	PUNCT
ejpam-6237	87	43	yi	yi	PROPN
ejpam-6237	87	44	,	,	PUNCT
ejpam-6237	87	45	h	h	NOUN
ejpam-6237	87	46	)	)	PUNCT
ejpam-6237	87	47	=	=	SYM
ejpam-6237	87	48	f(xi	f(xi	PROPN
ejpam-6237	87	49	,	,	PUNCT
ejpam-6237	87	50	yi	yi	NOUN
ejpam-6237	87	51	)	)	PUNCT
ejpam-6237	87	52	(	(	PUNCT
ejpam-6237	87	53	16	16	X
ejpam-6237	87	54	)	)	PUNCT
ejpam-6237	87	55	equating	equate	VERB
ejpam-6237	87	56	(	(	PUNCT
ejpam-6237	87	57	8)	8)	NUM
ejpam-6237	87	58	with	with	ADP
ejpam-6237	87	59	(	(	PUNCT
ejpam-6237	87	60	15	15	NUM
ejpam-6237	87	61	)	)	PUNCT
ejpam-6237	87	62	,	,	PUNCT
ejpam-6237	87	63	yields	yield	NOUN
ejpam-6237	87	64	ϕ(xi	ϕ(xi	PROPN
ejpam-6237	87	65	,	,	PUNCT
ejpam-6237	87	66	yi	yi	PROPN
ejpam-6237	87	67	,	,	PUNCT
ejpam-6237	87	68	h	h	NOUN
ejpam-6237	87	69	)	)	PUNCT
ejpam-6237	87	70	=	=	SYM
ejpam-6237	87	71	1	1	NUM
ejpam-6237	87	72	2	2	NUM
ejpam-6237	87	73	(	(	PUNCT
ejpam-6237	87	74	γ2	γ2	NOUN
ejpam-6237	87	75	+	+	CCONJ
ejpam-6237	87	76	γ22	γ22	PROPN
ejpam-6237	87	77	γ1	γ1	NOUN
ejpam-6237	87	78	+	+	CCONJ
ejpam-6237	87	79	γ2	γ2	PROPN
ejpam-6237	87	80	+	+	CCONJ
ejpam-6237	87	81	2	2	NUM
ejpam-6237	87	82	(	(	PUNCT
ejpam-6237	87	83	γ21	γ21	NOUN
ejpam-6237	87	84	+	+	CCONJ
ejpam-6237	87	85	γ1γ2	γ1γ2	NOUN
ejpam-6237	87	86	+	+	CCONJ
ejpam-6237	87	87	γ22	γ22	NOUN
ejpam-6237	87	88	)	)	PUNCT
ejpam-6237	87	89	3	3	NUM
ejpam-6237	87	90	(	(	PUNCT
ejpam-6237	87	91	γ1	γ1	NOUN
ejpam-6237	87	92	+	+	CCONJ
ejpam-6237	87	93	γ2	γ2	NOUN
ejpam-6237	87	94	)	)	PUNCT
ejpam-6237	87	95	)	)	PUNCT
ejpam-6237	87	96	syamsudhuha	syamsudhuha	VERB
ejpam-6237	88	1	et	et	PROPN
ejpam-6237	88	2	al	al	PROPN
ejpam-6237	88	3	.	.	PUNCT
ejpam-6237	88	4	/	/	SYM
ejpam-6237	88	5	eur	eur	PROPN
ejpam-6237	88	6	.	.	PUNCT
ejpam-6237	89	1	j.	j.	PROPN
ejpam-6237	89	2	pure	pure	PROPN
ejpam-6237	89	3	appl	appl	PROPN
ejpam-6237	89	4	.	.	PROPN
ejpam-6237	89	5	math	math	PROPN
ejpam-6237	89	6	,	,	PUNCT
ejpam-6237	89	7	18	18	NUM
ejpam-6237	89	8	(	(	PUNCT
ejpam-6237	89	9	3	3	NUM
ejpam-6237	89	10	)	)	PUNCT
ejpam-6237	89	11	(	(	PUNCT
ejpam-6237	89	12	2025	2025	NUM
ejpam-6237	89	13	)	)	PUNCT
ejpam-6237	89	14	,	,	PUNCT
ejpam-6237	89	15	6237	6237	NUM
ejpam-6237	89	16	6	6	NUM
ejpam-6237	89	17	of	of	ADP
ejpam-6237	89	18	15	15	NUM
ejpam-6237	89	19	ϕ(xi	ϕ(xi	PROPN
ejpam-6237	89	20	,	,	PUNCT
ejpam-6237	89	21	yi	yi	PROPN
ejpam-6237	89	22	,	,	PUNCT
ejpam-6237	89	23	h	h	NOUN
ejpam-6237	89	24	)	)	PUNCT
ejpam-6237	89	25	=	=	SYM
ejpam-6237	89	26	1	1	NUM
ejpam-6237	89	27	2	2	NUM
ejpam-6237	89	28	(	(	PUNCT
ejpam-6237	89	29	f(xi	f(xi	PROPN
ejpam-6237	89	30	,	,	PUNCT
ejpam-6237	89	31	yi	yi	NOUN
ejpam-6237	89	32	)	)	PUNCT
ejpam-6237	89	33	2	2	NUM
ejpam-6237	90	1	+	+	CCONJ
ejpam-6237	90	2	f(xi+1	f(xi+1	NOUN
ejpam-6237	90	3	,	,	PUNCT
ejpam-6237	90	4	y	y	PROPN
ejpam-6237	90	5	p	p	NOUN
ejpam-6237	90	6	i+1	i+1	NOUN
ejpam-6237	90	7	)	)	PUNCT
ejpam-6237	90	8	2	2	NUM
ejpam-6237	90	9	f(xi	f(xi	PROPN
ejpam-6237	90	10	,	,	PUNCT
ejpam-6237	90	11	yi	yi	NOUN
ejpam-6237	90	12	)	)	PUNCT
ejpam-6237	90	13	+	+	CCONJ
ejpam-6237	90	14	f(xi+1	f(xi+1	PROPN
ejpam-6237	90	15	,	,	PUNCT
ejpam-6237	90	16	y	y	PROPN
ejpam-6237	90	17	p	p	NOUN
ejpam-6237	90	18	i+1	i+1	NOUN
ejpam-6237	90	19	)	)	PUNCT
ejpam-6237	90	20	)	)	PUNCT
ejpam-6237	91	1	+	+	CCONJ
ejpam-6237	91	2	f(xi	f(xi	NUM
ejpam-6237	91	3	,	,	PUNCT
ejpam-6237	91	4	yi	yi	NOUN
ejpam-6237	91	5	)	)	PUNCT
ejpam-6237	91	6	2	2	NUM
ejpam-6237	91	7	+	+	CCONJ
ejpam-6237	91	8	f(xi	f(xi	PROPN
ejpam-6237	91	9	,	,	PUNCT
ejpam-6237	91	10	yi)f(xi+1	yi)f(xi+1	NOUN
ejpam-6237	91	11	,	,	PUNCT
ejpam-6237	91	12	y	y	PROPN
ejpam-6237	91	13	p	p	NOUN
ejpam-6237	91	14	i+1	i+1	NOUN
ejpam-6237	91	15	)	)	PUNCT
ejpam-6237	91	16	+	+	CCONJ
ejpam-6237	91	17	f(xi+1	f(xi+1	NOUN
ejpam-6237	91	18	,	,	PUNCT
ejpam-6237	91	19	y	y	PROPN
ejpam-6237	91	20	p	p	NOUN
ejpam-6237	91	21	i+1	i+1	NOUN
ejpam-6237	91	22	)	)	PUNCT
ejpam-6237	91	23	2	2	NUM
ejpam-6237	91	24	3f(xi	3f(xi	NUM
ejpam-6237	91	25	,	,	PUNCT
ejpam-6237	91	26	yi	yi	NOUN
ejpam-6237	91	27	)	)	PUNCT
ejpam-6237	91	28	+	+	CCONJ
ejpam-6237	91	29	3f(xi+1	3f(xi+1	NUM
ejpam-6237	91	30	,	,	PUNCT
ejpam-6237	91	31	y	y	PROPN
ejpam-6237	91	32	p	p	NOUN
ejpam-6237	91	33	i+1	i+1	NOUN
ejpam-6237	91	34	)	)	PUNCT
ejpam-6237	91	35	(	(	PUNCT
ejpam-6237	91	36	17	17	NUM
ejpam-6237	91	37	)	)	PUNCT
ejpam-6237	91	38	where	where	SCONJ
ejpam-6237	91	39	ypi+1	ypi+1	NOUN
ejpam-6237	91	40	=	=	SYM
ejpam-6237	91	41	f(xi	f(xi	PROPN
ejpam-6237	91	42	+	+	CCONJ
ejpam-6237	91	43	h	h	NOUN
ejpam-6237	91	44	,	,	PUNCT
ejpam-6237	91	45	yi	yi	PROPN
ejpam-6237	91	46	+	+	CCONJ
ejpam-6237	91	47	f(xi	f(xi	PROPN
ejpam-6237	91	48	,	,	PUNCT
ejpam-6237	91	49	yi	yi	NOUN
ejpam-6237	91	50	)	)	PUNCT
ejpam-6237	91	51	)	)	PUNCT
ejpam-6237	91	52	.	.	PUNCT
ejpam-6237	92	1	expanding	expand	VERB
ejpam-6237	92	2	f(xi	f(xi	PROPN
ejpam-6237	92	3	,	,	PUNCT
ejpam-6237	92	4	yi	yi	NOUN
ejpam-6237	92	5	)	)	PUNCT
ejpam-6237	92	6	by	by	ADP
ejpam-6237	92	7	taylor	taylor	PROPN
ejpam-6237	92	8	expansion	expansion	NOUN
ejpam-6237	92	9	and	and	CCONJ
ejpam-6237	92	10	taking	take	VERB
ejpam-6237	92	11	the	the	DET
ejpam-6237	92	12	limit	limit	NOUN
ejpam-6237	92	13	of	of	ADP
ejpam-6237	92	14	equation	equation	NOUN
ejpam-6237	92	15	(	(	PUNCT
ejpam-6237	92	16	17	17	NUM
ejpam-6237	92	17	)	)	PUNCT
ejpam-6237	92	18	for	for	ADP
ejpam-6237	92	19	h	h	NOUN
ejpam-6237	92	20	→	→	SYM
ejpam-6237	92	21	0	0	NUM
ejpam-6237	92	22	,	,	PUNCT
ejpam-6237	92	23	yields	yield	VERB
ejpam-6237	92	24	lim	lim	PROPN
ejpam-6237	92	25	h→0	h→0	ADP
ejpam-6237	92	26	ϕ(xi	ϕ(xi	PROPN
ejpam-6237	92	27	,	,	PUNCT
ejpam-6237	92	28	yi	yi	PROPN
ejpam-6237	92	29	,	,	PUNCT
ejpam-6237	92	30	h	h	NOUN
ejpam-6237	92	31	)	)	PUNCT
ejpam-6237	93	1	=	=	VERB
ejpam-6237	93	2	lim	lim	NOUN
ejpam-6237	93	3	h→0	h→0	ADV
ejpam-6237	93	4	1	1	NUM
ejpam-6237	93	5	2	2	NUM
ejpam-6237	93	6	[	[	X
ejpam-6237	93	7	2f	2f	X
ejpam-6237	93	8	+	+	NUM
ejpam-6237	93	9	h	h	NOUN
ejpam-6237	93	10	(	(	PUNCT
ejpam-6237	93	11	f	f	PROPN
ejpam-6237	93	12	−	−	PROPN
ejpam-6237	93	13	xf	xf	PROPN
ejpam-6237	93	14	)	)	PUNCT
ejpam-6237	93	15	]	]	PUNCT
ejpam-6237	94	1	+	+	CCONJ
ejpam-6237	94	2	[	[	PUNCT
ejpam-6237	94	3	fxyf	fxyf	NOUN
ejpam-6237	94	4	+	+	CCONJ
ejpam-6237	94	5	2	2	NUM
ejpam-6237	94	6	3	3	NUM
ejpam-6237	94	7	fxfy	fxfy	NOUN
ejpam-6237	95	1	+	+	X
ejpam-6237	95	2	1	1	NUM
ejpam-6237	95	3	2b	2b	NUM
ejpam-6237	95	4	fyyf	fyyf	NOUN
ejpam-6237	95	5	2	2	NUM
ejpam-6237	95	6	+	+	CCONJ
ejpam-6237	95	7	1	1	NUM
ejpam-6237	95	8	3	3	NUM
ejpam-6237	95	9	ff2	ff2	NOUN
ejpam-6237	95	10	y	y	PROPN
ejpam-6237	95	11	+	+	CCONJ
ejpam-6237	95	12	1	1	NUM
ejpam-6237	95	13	3	3	NUM
ejpam-6237	95	14	f2	f2	ADV
ejpam-6237	95	15	x	x	X
ejpam-6237	95	16	f	f	X
ejpam-6237	95	17	+	+	CCONJ
ejpam-6237	95	18	1	1	NUM
ejpam-6237	95	19	2	2	NUM
ejpam-6237	95	20	fxx	fxx	NOUN
ejpam-6237	95	21	]	]	PUNCT
ejpam-6237	95	22	h2	h2	PROPN
ejpam-6237	95	23	lim	lim	PROPN
ejpam-6237	95	24	h→0	h→0	PROPN
ejpam-6237	95	25	ϕ(xi	ϕ(xi	PROPN
ejpam-6237	95	26	,	,	PUNCT
ejpam-6237	95	27	yi	yi	PROPN
ejpam-6237	95	28	,	,	PUNCT
ejpam-6237	95	29	h	h	NOUN
ejpam-6237	95	30	)	)	PUNCT
ejpam-6237	95	31	=	=	SYM
ejpam-6237	96	1	f	f	X
ejpam-6237	96	2	,	,	PUNCT
ejpam-6237	96	3	(	(	PUNCT
ejpam-6237	96	4	18	18	NUM
ejpam-6237	96	5	)	)	PUNCT
ejpam-6237	97	1	where	where	SCONJ
ejpam-6237	97	2	f	f	PROPN
ejpam-6237	97	3	=	=	SYM
ejpam-6237	97	4	f(xi	f(xi	PROPN
ejpam-6237	97	5	,	,	PUNCT
ejpam-6237	97	6	yi	yi	NOUN
ejpam-6237	97	7	)	)	PUNCT
ejpam-6237	97	8	,	,	PUNCT
ejpam-6237	97	9	fx	fx	NOUN
ejpam-6237	97	10	=	=	SYM
ejpam-6237	97	11	∂f	∂f	PROPN
ejpam-6237	97	12	∂x	∂x	PROPN
ejpam-6237	97	13	,	,	PUNCT
ejpam-6237	97	14	fy	fy	PROPN
ejpam-6237	97	15	=	=	SYM
ejpam-6237	97	16	∂f	∂f	PROPN
ejpam-6237	97	17	∂y	∂y	PROPN
ejpam-6237	97	18	,	,	PUNCT
ejpam-6237	97	19	fxx	fxx	PROPN
ejpam-6237	97	20	=	=	PUNCT
ejpam-6237	97	21	∂2f	∂2f	VERB
ejpam-6237	97	22	∂x2	∂x2	NOUN
ejpam-6237	97	23	,	,	PUNCT
ejpam-6237	97	24	fyy	fyy	ADJ
ejpam-6237	97	25	=	=	VERB
ejpam-6237	97	26	∂2f	∂2f	VERB
ejpam-6237	97	27	∂y2	∂y2	PROPN
ejpam-6237	97	28	,	,	PUNCT
ejpam-6237	97	29	fxy	fxy	X
ejpam-6237	97	30	=	=	PUNCT
ejpam-6237	97	31	∂2f	∂2f	VERB
ejpam-6237	97	32	∂x∂y	∂x∂y	NOUN
ejpam-6237	97	33	.	.	PUNCT
ejpam-6237	98	1	we	we	PRON
ejpam-6237	98	2	conclude	conclude	VERB
ejpam-6237	98	3	that	that	SCONJ
ejpam-6237	98	4	the	the	DET
ejpam-6237	98	5	proposed	propose	VERB
ejpam-6237	98	6	method	method	NOUN
ejpam-6237	98	7	is	be	AUX
ejpam-6237	98	8	consistent	consistent	ADJ
ejpam-6237	98	9	.	.	PUNCT
ejpam-6237	99	1	2.4	2.4	NUM
ejpam-6237	99	2	.	.	PUNCT
ejpam-6237	100	1	local	local	ADJ
ejpam-6237	100	2	truncation	truncation	NOUN
ejpam-6237	100	3	error	error	NOUN
ejpam-6237	100	4	the	the	DET
ejpam-6237	100	5	local	local	ADJ
ejpam-6237	100	6	truncation	truncation	NOUN
ejpam-6237	100	7	error	error	NOUN
ejpam-6237	100	8	(	(	PUNCT
ejpam-6237	100	9	lte	lte	PROPN
ejpam-6237	100	10	)	)	PUNCT
ejpam-6237	100	11	quantifies	quantify	VERB
ejpam-6237	100	12	the	the	DET
ejpam-6237	100	13	error	error	NOUN
ejpam-6237	100	14	introduced	introduce	VERB
ejpam-6237	100	15	in	in	ADP
ejpam-6237	100	16	a	a	DET
ejpam-6237	100	17	single	single	ADJ
ejpam-6237	100	18	step	step	NOUN
ejpam-6237	100	19	of	of	ADP
ejpam-6237	100	20	a	a	DET
ejpam-6237	100	21	numerical	numerical	ADJ
ejpam-6237	100	22	method	method	NOUN
ejpam-6237	100	23	under	under	ADP
ejpam-6237	100	24	the	the	DET
ejpam-6237	100	25	assumption	assumption	NOUN
ejpam-6237	100	26	that	that	SCONJ
ejpam-6237	100	27	all	all	DET
ejpam-6237	100	28	prior	prior	ADJ
ejpam-6237	100	29	steps	step	NOUN
ejpam-6237	100	30	are	be	AUX
ejpam-6237	100	31	exact	exact	ADJ
ejpam-6237	100	32	.	.	PUNCT
ejpam-6237	101	1	it	it	PRON
ejpam-6237	101	2	serves	serve	VERB
ejpam-6237	101	3	as	as	ADP
ejpam-6237	101	4	a	a	DET
ejpam-6237	101	5	key	key	ADJ
ejpam-6237	101	6	measure	measure	NOUN
ejpam-6237	101	7	in	in	ADP
ejpam-6237	101	8	evaluating	evaluate	VERB
ejpam-6237	101	9	the	the	DET
ejpam-6237	101	10	accuracy	accuracy	NOUN
ejpam-6237	101	11	and	and	CCONJ
ejpam-6237	101	12	convergence	convergence	NOUN
ejpam-6237	101	13	order	order	NOUN
ejpam-6237	101	14	of	of	ADP
ejpam-6237	101	15	numerical	numerical	ADJ
ejpam-6237	101	16	integration	integration	NOUN
ejpam-6237	101	17	schemes	scheme	NOUN
ejpam-6237	101	18	.	.	PUNCT
ejpam-6237	102	1	to	to	PART
ejpam-6237	102	2	analyze	analyze	VERB
ejpam-6237	102	3	the	the	DET
ejpam-6237	102	4	lte	lte	PROPN
ejpam-6237	102	5	of	of	ADP
ejpam-6237	102	6	the	the	DET
ejpam-6237	102	7	proposed	propose	VERB
ejpam-6237	102	8	cch	cch	NOUN
ejpam-6237	102	9	method	method	NOUN
ejpam-6237	102	10	,	,	PUNCT
ejpam-6237	102	11	we	we	PRON
ejpam-6237	102	12	compare	compare	VERB
ejpam-6237	102	13	the	the	DET
ejpam-6237	102	14	exact	exact	ADJ
ejpam-6237	102	15	taylor	taylor	NOUN
ejpam-6237	102	16	expansion	expansion	NOUN
ejpam-6237	102	17	of	of	ADP
ejpam-6237	102	18	the	the	DET
ejpam-6237	102	19	true	true	ADJ
ejpam-6237	102	20	solution	solution	NOUN
ejpam-6237	102	21	y(xi+1	y(xi+1	NOUN
ejpam-6237	102	22	)	)	PUNCT
ejpam-6237	102	23	with	with	ADP
ejpam-6237	102	24	the	the	DET
ejpam-6237	102	25	numerical	numerical	PROPN
ejpam-6237	102	26	approximation	approximation	NOUN
ejpam-6237	102	27	yi+1	yi+1	PROPN
ejpam-6237	102	28	generated	generate	VERB
ejpam-6237	102	29	by	by	ADP
ejpam-6237	102	30	the	the	DET
ejpam-6237	102	31	method	method	NOUN
ejpam-6237	102	32	.	.	PUNCT
ejpam-6237	103	1	the	the	DET
ejpam-6237	103	2	difference	difference	NOUN
ejpam-6237	103	3	between	between	ADP
ejpam-6237	103	4	these	these	DET
ejpam-6237	103	5	expressions	expression	NOUN
ejpam-6237	103	6	,	,	PUNCT
ejpam-6237	103	7	when	when	SCONJ
ejpam-6237	103	8	expanded	expand	VERB
ejpam-6237	103	9	in	in	ADP
ejpam-6237	103	10	powers	power	NOUN
ejpam-6237	103	11	of	of	ADP
ejpam-6237	103	12	the	the	DET
ejpam-6237	103	13	step	step	NOUN
ejpam-6237	103	14	size	size	NOUN
ejpam-6237	103	15	h	h	NOUN
ejpam-6237	103	16	reveals	reveal	VERB
ejpam-6237	103	17	the	the	DET
ejpam-6237	103	18	leading	lead	VERB
ejpam-6237	103	19	error	error	NOUN
ejpam-6237	103	20	term	term	NOUN
ejpam-6237	103	21	and	and	CCONJ
ejpam-6237	103	22	thereby	thereby	ADV
ejpam-6237	103	23	the	the	DET
ejpam-6237	103	24	method	method	NOUN
ejpam-6237	103	25	’s	’s	PART
ejpam-6237	103	26	order	order	NOUN
ejpam-6237	103	27	of	of	ADP
ejpam-6237	103	28	accuracy	accuracy	NOUN
ejpam-6237	103	29	.	.	PUNCT
ejpam-6237	104	1	consider	consider	VERB
ejpam-6237	104	2	y′(x	y′(x	NOUN
ejpam-6237	104	3	)	)	PUNCT
ejpam-6237	104	4	=	=	SYM
ejpam-6237	104	5	f(x	f(x	PROPN
ejpam-6237	104	6	,	,	PUNCT
ejpam-6237	104	7	y(x	y(x	PROPN
ejpam-6237	104	8	)	)	PUNCT
ejpam-6237	104	9	)	)	PUNCT
ejpam-6237	105	1	the	the	DET
ejpam-6237	105	2	taylor	taylor	PROPN
ejpam-6237	105	3	expansion	expansion	NOUN
ejpam-6237	105	4	of	of	ADP
ejpam-6237	105	5	y(xi+1	y(xi+1	PROPN
ejpam-6237	105	6	)	)	PUNCT
ejpam-6237	105	7	is	be	AUX
ejpam-6237	105	8	y(xi+1	y(xi+1	NOUN
ejpam-6237	105	9	)	)	PUNCT
ejpam-6237	105	10	=	=	PUNCT
ejpam-6237	106	1	y(xi	y(xi	NOUN
ejpam-6237	106	2	+	+	CCONJ
ejpam-6237	106	3	h	h	NOUN
ejpam-6237	106	4	)	)	PUNCT
ejpam-6237	106	5	(	(	PUNCT
ejpam-6237	106	6	19	19	NUM
ejpam-6237	106	7	)	)	PUNCT
ejpam-6237	106	8	=	=	PUNCT
ejpam-6237	106	9	y(xi	y(xi	NUM
ejpam-6237	106	10	)	)	PUNCT
ejpam-6237	106	11	+	+	CCONJ
ejpam-6237	106	12	hy′(xi	hy′(xi	X
ejpam-6237	106	13	)	)	PUNCT
ejpam-6237	107	1	+	+	CCONJ
ejpam-6237	107	2	h2	h2	NOUN
ejpam-6237	107	3	2	2	NUM
ejpam-6237	107	4	y′′(xi	y′′(xi	NOUN
ejpam-6237	107	5	)	)	PUNCT
ejpam-6237	108	1	+	+	NUM
ejpam-6237	108	2	h3	h3	NOUN
ejpam-6237	108	3	3	3	NUM
ejpam-6237	108	4	!	!	PUNCT
ejpam-6237	108	5	y′′′(xi	y′′′(xi	PROPN
ejpam-6237	108	6	)	)	PUNCT
ejpam-6237	109	1	+	+	VERB
ejpam-6237	109	2	o(h4	o(h4	NOUN
ejpam-6237	109	3	)	)	PUNCT
ejpam-6237	109	4	,	,	PUNCT
ejpam-6237	109	5	y(xi+1	y(xi+1	NOUN
ejpam-6237	109	6	)	)	PUNCT
ejpam-6237	110	1	=	=	SYM
ejpam-6237	110	2	y(xi	y(xi	NUM
ejpam-6237	110	3	)	)	PUNCT
ejpam-6237	110	4	+	+	CCONJ
ejpam-6237	110	5	hf	hf	NOUN
ejpam-6237	110	6	+	+	CCONJ
ejpam-6237	110	7	h2	h2	NOUN
ejpam-6237	110	8	2	2	NUM
ejpam-6237	111	1	[	[	X
ejpam-6237	111	2	fx	fx	X
ejpam-6237	111	3	+	+	CCONJ
ejpam-6237	111	4	ffy	ffy	X
ejpam-6237	111	5	]	]	X
ejpam-6237	111	6	+	+	NUM
ejpam-6237	111	7	h3	h3	NOUN
ejpam-6237	111	8	3	3	NUM
ejpam-6237	111	9	!	!	PUNCT
ejpam-6237	112	1	[	[	PUNCT
ejpam-6237	112	2	fxx	fxx	NOUN
ejpam-6237	112	3	+	+	CCONJ
ejpam-6237	112	4	2ffxy	2ffxy	NUM
ejpam-6237	112	5	+	+	CCONJ
ejpam-6237	112	6	f2fyy	f2fyy	PROPN
ejpam-6237	113	1	+	+	NUM
ejpam-6237	113	2	ff2	ff2	PROPN
ejpam-6237	113	3	y	y	PROPN
ejpam-6237	113	4	+	+	CCONJ
ejpam-6237	113	5	fxfy	fxfy	NOUN
ejpam-6237	113	6	]	]	PUNCT
ejpam-6237	114	1	+	+	X
ejpam-6237	114	2	o(h4	o(h4	NOUN
ejpam-6237	114	3	)	)	PUNCT
ejpam-6237	114	4	,	,	PUNCT
ejpam-6237	114	5	(	(	PUNCT
ejpam-6237	114	6	20	20	NUM
ejpam-6237	114	7	)	)	PUNCT
ejpam-6237	114	8	and	and	CCONJ
ejpam-6237	114	9	the	the	DET
ejpam-6237	114	10	taylor	taylor	PROPN
ejpam-6237	114	11	expansions	expansion	NOUN
ejpam-6237	114	12	of	of	ADP
ejpam-6237	114	13	γ1	γ1	NOUN
ejpam-6237	114	14	and	and	CCONJ
ejpam-6237	114	15	γ2	γ2	PROPN
ejpam-6237	114	16	are	be	AUX
ejpam-6237	114	17	γ1	γ1	NOUN
ejpam-6237	114	18	=	=	SYM
ejpam-6237	114	19	f(xi	f(xi	PROPN
ejpam-6237	114	20	,	,	PUNCT
ejpam-6237	114	21	yi	yi	NOUN
ejpam-6237	114	22	)	)	PUNCT
ejpam-6237	115	1	=	=	SYM
ejpam-6237	115	2	f	f	PROPN
ejpam-6237	115	3	(	(	PUNCT
ejpam-6237	115	4	21	21	NUM
ejpam-6237	115	5	)	)	PUNCT
ejpam-6237	115	6	syamsudhuha	syamsudhuha	NOUN
ejpam-6237	115	7	et	et	PROPN
ejpam-6237	115	8	al	al	PROPN
ejpam-6237	115	9	.	.	PUNCT
ejpam-6237	115	10	/	/	SYM
ejpam-6237	115	11	eur	eur	PROPN
ejpam-6237	115	12	.	.	PUNCT
ejpam-6237	116	1	j.	j.	PROPN
ejpam-6237	116	2	pure	pure	PROPN
ejpam-6237	116	3	appl	appl	PROPN
ejpam-6237	116	4	.	.	PROPN
ejpam-6237	116	5	math	math	PROPN
ejpam-6237	116	6	,	,	PUNCT
ejpam-6237	116	7	18	18	NUM
ejpam-6237	116	8	(	(	PUNCT
ejpam-6237	116	9	3	3	NUM
ejpam-6237	116	10	)	)	PUNCT
ejpam-6237	116	11	(	(	PUNCT
ejpam-6237	116	12	2025	2025	NUM
ejpam-6237	116	13	)	)	PUNCT
ejpam-6237	116	14	,	,	PUNCT
ejpam-6237	116	15	6237	6237	NUM
ejpam-6237	116	16	7	7	NUM
ejpam-6237	116	17	of	of	ADP
ejpam-6237	116	18	15	15	NUM
ejpam-6237	116	19	γ2	γ2	NOUN
ejpam-6237	116	20	=	=	SYM
ejpam-6237	116	21	f(xi+1	f(xi+1	PROPN
ejpam-6237	116	22	,	,	PUNCT
ejpam-6237	116	23	y	y	PROPN
ejpam-6237	116	24	p	p	X
ejpam-6237	116	25	i+1	i+1	NOUN
ejpam-6237	116	26	=	=	NOUN
ejpam-6237	116	27	f(xi+1	f(xi+1	PROPN
ejpam-6237	116	28	,	,	PUNCT
ejpam-6237	116	29	yi	yi	PROPN
ejpam-6237	116	30	+	+	CCONJ
ejpam-6237	116	31	hf(xi	hf(xi	PROPN
ejpam-6237	116	32	,	,	PUNCT
ejpam-6237	116	33	yi	yi	PROPN
ejpam-6237	116	34	)	)	PUNCT
ejpam-6237	116	35	)	)	PUNCT
ejpam-6237	117	1	γ2	γ2	NOUN
ejpam-6237	117	2	=	=	SYM
ejpam-6237	117	3	f	f	PROPN
ejpam-6237	117	4	+	+	CCONJ
ejpam-6237	117	5	h(fx	h(fx	NOUN
ejpam-6237	117	6	+	+	CCONJ
ejpam-6237	117	7	ffy	ffy	NOUN
ejpam-6237	117	8	)	)	PUNCT
ejpam-6237	117	9	+	+	NUM
ejpam-6237	117	10	h2	h2	NOUN
ejpam-6237	117	11	2	2	NUM
ejpam-6237	117	12	[	[	PUNCT
ejpam-6237	117	13	fxx	fxx	NOUN
ejpam-6237	117	14	+	+	CCONJ
ejpam-6237	117	15	2ffxy	2ffxy	NUM
ejpam-6237	117	16	+	+	CCONJ
ejpam-6237	117	17	f2fyy	f2fyy	PRON
ejpam-6237	117	18	]	]	PUNCT
ejpam-6237	117	19	.	.	PUNCT
ejpam-6237	118	1	(	(	PUNCT
ejpam-6237	118	2	22	22	NUM
ejpam-6237	118	3	)	)	PUNCT
ejpam-6237	118	4	by	by	ADP
ejpam-6237	118	5	using	use	VERB
ejpam-6237	118	6	(	(	PUNCT
ejpam-6237	118	7	21	21	NUM
ejpam-6237	118	8	)	)	PUNCT
ejpam-6237	118	9	and	and	CCONJ
ejpam-6237	118	10	(	(	PUNCT
ejpam-6237	118	11	22	22	NUM
ejpam-6237	118	12	)	)	PUNCT
ejpam-6237	118	13	,	,	PUNCT
ejpam-6237	118	14	the	the	DET
ejpam-6237	118	15	sum	sum	NOUN
ejpam-6237	118	16	of	of	ADP
ejpam-6237	118	17	the	the	DET
ejpam-6237	118	18	contraharmonic	contraharmonic	PROPN
ejpam-6237	118	19	and	and	CCONJ
ejpam-6237	118	20	centroidal	centroidal	ADJ
ejpam-6237	118	21	means	mean	NOUN
ejpam-6237	118	22	becomes	become	VERB
ejpam-6237	118	23	:	:	PUNCT
ejpam-6237	118	24	γ21	γ21	NUM
ejpam-6237	118	25	+	+	NUM
ejpam-6237	118	26	γ22	γ22	NOUN
ejpam-6237	118	27	γ1	γ1	NOUN
ejpam-6237	118	28	+	+	CCONJ
ejpam-6237	118	29	γ2	γ2	ADJ
ejpam-6237	118	30	+	+	CCONJ
ejpam-6237	118	31	2γ1γ2	2γ1γ2	NUM
ejpam-6237	118	32	γ1	γ1	NOUN
ejpam-6237	118	33	+	+	CCONJ
ejpam-6237	118	34	γ2	γ2	NOUN
ejpam-6237	118	35	=	=	SYM
ejpam-6237	118	36	2f	2f	NOUN
ejpam-6237	118	37	+	+	CCONJ
ejpam-6237	118	38	h(fx	h(fx	NOUN
ejpam-6237	118	39	+	+	CCONJ
ejpam-6237	118	40	ffy	ffy	NOUN
ejpam-6237	118	41	)	)	PUNCT
ejpam-6237	118	42	+	+	NUM
ejpam-6237	118	43	h2	h2	NOUN
ejpam-6237	118	44	2	2	NUM
ejpam-6237	118	45	(	(	PUNCT
ejpam-6237	118	46	f2fyy	f2fyy	PROPN
ejpam-6237	118	47	+	+	X
ejpam-6237	118	48	2ffxyfxx	2ffxyfxx	NUM
ejpam-6237	118	49	)	)	PUNCT
ejpam-6237	119	1	+	+	NOUN
ejpam-6237	119	2	o(h3	o(h3	NUM
ejpam-6237	119	3	)	)	PUNCT
ejpam-6237	119	4	.	.	PUNCT
ejpam-6237	120	1	(	(	PUNCT
ejpam-6237	120	2	23	23	NUM
ejpam-6237	120	3	)	)	PUNCT
ejpam-6237	120	4	substituting	substitute	VERB
ejpam-6237	120	5	(	(	PUNCT
ejpam-6237	120	6	23	23	NUM
ejpam-6237	120	7	)	)	PUNCT
ejpam-6237	120	8	to	to	ADP
ejpam-6237	120	9	(	(	PUNCT
ejpam-6237	120	10	8)	8)	NUM
ejpam-6237	120	11	and	and	CCONJ
ejpam-6237	120	12	simplifying	simplifying	NOUN
ejpam-6237	120	13	,	,	PUNCT
ejpam-6237	120	14	yields	yield	NOUN
ejpam-6237	120	15	yi+1	yi+1	X
ejpam-6237	121	1	=	=	SYM
ejpam-6237	121	2	yi	yi	PROPN
ejpam-6237	121	3	+	+	CCONJ
ejpam-6237	121	4	2f	2f	NUM
ejpam-6237	122	1	+	+	ADJ
ejpam-6237	122	2	+	+	ADJ
ejpam-6237	122	3	h(fx	h(fx	NOUN
ejpam-6237	122	4	+	+	CCONJ
ejpam-6237	122	5	ffy	ffy	NOUN
ejpam-6237	122	6	)	)	PUNCT
ejpam-6237	122	7	+	+	NUM
ejpam-6237	122	8	h2	h2	NOUN
ejpam-6237	122	9	(	(	PUNCT
ejpam-6237	122	10	fxyf	fxyf	NOUN
ejpam-6237	122	11	+	+	CCONJ
ejpam-6237	122	12	2	2	NUM
ejpam-6237	122	13	3	3	NUM
ejpam-6237	122	14	fxfy	fxfy	NOUN
ejpam-6237	122	15	+	+	CCONJ
ejpam-6237	122	16	1	1	NUM
ejpam-6237	122	17	2	2	NUM
ejpam-6237	122	18	fyyf	fyyf	NOUN
ejpam-6237	122	19	2	2	NUM
ejpam-6237	122	20	+	+	CCONJ
ejpam-6237	122	21	1	1	NUM
ejpam-6237	122	22	2	2	NUM
ejpam-6237	122	23	fxx	fxx	NOUN
ejpam-6237	122	24	+	+	CCONJ
ejpam-6237	122	25	1	1	NUM
ejpam-6237	122	26	3	3	NUM
ejpam-6237	122	27	ff2	ff2	NOUN
ejpam-6237	122	28	y	y	NOUN
ejpam-6237	122	29	1	1	NUM
ejpam-6237	122	30	3	3	NUM
ejpam-6237	122	31	f2	f2	PROPN
ejpam-6237	122	32	x	x	X
ejpam-6237	122	33	f	f	X
ejpam-6237	122	34	)	)	PUNCT
ejpam-6237	123	1	+	+	NOUN
ejpam-6237	123	2	o(h3	o(h3	NUM
ejpam-6237	123	3	)	)	PUNCT
ejpam-6237	123	4	.	.	PUNCT
ejpam-6237	124	1	(	(	PUNCT
ejpam-6237	124	2	24	24	NUM
ejpam-6237	124	3	)	)	PUNCT
ejpam-6237	124	4	by	by	ADP
ejpam-6237	124	5	comparing	compare	VERB
ejpam-6237	124	6	equations	equation	NOUN
ejpam-6237	124	7	(	(	PUNCT
ejpam-6237	124	8	20	20	NUM
ejpam-6237	124	9	)	)	PUNCT
ejpam-6237	124	10	and	and	CCONJ
ejpam-6237	124	11	(	(	PUNCT
ejpam-6237	124	12	24	24	NUM
ejpam-6237	124	13	)	)	PUNCT
ejpam-6237	124	14	,	,	PUNCT
ejpam-6237	124	15	we	we	PRON
ejpam-6237	124	16	obtain	obtain	VERB
ejpam-6237	124	17	the	the	DET
ejpam-6237	124	18	local	local	ADJ
ejpam-6237	124	19	truncation	truncation	NOUN
ejpam-6237	124	20	error	error	NOUN
ejpam-6237	124	21	as	as	SCONJ
ejpam-6237	124	22	follows	follow	VERB
ejpam-6237	124	23	:	:	PUNCT
ejpam-6237	124	24	lte	lte	PROPN
ejpam-6237	124	25	=	=	SYM
ejpam-6237	124	26	y(xi+1)−	y(xi+1)−	PROPN
ejpam-6237	124	27	yi+1	yi+1	NOUN
ejpam-6237	124	28	lte	lte	PROPN
ejpam-6237	124	29	=	=	PROPN
ejpam-6237	124	30	h3	h3	NOUN
ejpam-6237	124	31	(	(	PUNCT
ejpam-6237	124	32	−1	−1	NOUN
ejpam-6237	124	33	12	12	NUM
ejpam-6237	124	34	fyyf	fyyf	NOUN
ejpam-6237	124	35	2	2	NUM
ejpam-6237	124	36	−	−	NOUN
ejpam-6237	124	37	1	1	NUM
ejpam-6237	124	38	6	6	NUM
ejpam-6237	124	39	fxyf	fxyf	NOUN
ejpam-6237	124	40	−	−	PROPN
ejpam-6237	124	41	1	1	NUM
ejpam-6237	124	42	6	6	NUM
ejpam-6237	124	43	fxfy	fxfy	NOUN
ejpam-6237	124	44	−	−	NOUN
ejpam-6237	124	45	1	1	NUM
ejpam-6237	124	46	12	12	NUM
ejpam-6237	124	47	fxx	fxx	NOUN
ejpam-6237	124	48	−	−	PROPN
ejpam-6237	124	49	1	1	NUM
ejpam-6237	124	50	6	6	NUM
ejpam-6237	124	51	f2	f2	ADV
ejpam-6237	124	52	x	x	X
ejpam-6237	124	53	f	f	X
ejpam-6237	124	54	)	)	PUNCT
ejpam-6237	125	1	+	+	NOUN
ejpam-6237	125	2	o(h3	o(h3	NUM
ejpam-6237	125	3	)	)	PUNCT
ejpam-6237	125	4	.	.	PUNCT
ejpam-6237	126	1	(	(	PUNCT
ejpam-6237	126	2	25	25	NUM
ejpam-6237	126	3	)	)	PUNCT
ejpam-6237	126	4	consequently	consequently	ADV
ejpam-6237	126	5	,	,	PUNCT
ejpam-6237	126	6	the	the	DET
ejpam-6237	126	7	proposed	propose	VERB
ejpam-6237	126	8	method	method	NOUN
ejpam-6237	126	9	is	be	AUX
ejpam-6237	126	10	of	of	ADP
ejpam-6237	126	11	second	second	ADJ
ejpam-6237	126	12	order	order	NOUN
ejpam-6237	126	13	and	and	CCONJ
ejpam-6237	126	14	has	have	VERB
ejpam-6237	126	15	a	a	DET
ejpam-6237	126	16	local	local	ADJ
ejpam-6237	126	17	truncation	truncation	NOUN
ejpam-6237	126	18	error	error	NOUN
ejpam-6237	126	19	of	of	ADP
ejpam-6237	126	20	order	order	NOUN
ejpam-6237	126	21	o(h3	o(h3	ADV
ejpam-6237	126	22	)	)	PUNCT
ejpam-6237	126	23	,	,	PUNCT
ejpam-6237	126	24	which	which	PRON
ejpam-6237	126	25	is	be	AUX
ejpam-6237	126	26	smaller	small	ADJ
ejpam-6237	126	27	than	than	ADP
ejpam-6237	126	28	that	that	PRON
ejpam-6237	126	29	of	of	ADP
ejpam-6237	126	30	heun	heun	PROPN
ejpam-6237	126	31	’s	’s	PART
ejpam-6237	126	32	method	method	NOUN
ejpam-6237	126	33	(	(	PUNCT
ejpam-6237	126	34	o(h2	o(h2	NOUN
ejpam-6237	126	35	)	)	PUNCT
ejpam-6237	126	36	)	)	PUNCT
ejpam-6237	127	1	[	[	X
ejpam-6237	127	2	1	1	NUM
ejpam-6237	127	3	]	]	PUNCT
ejpam-6237	127	4	.	.	PUNCT
ejpam-6237	128	1	3	3	X
ejpam-6237	128	2	.	.	X
ejpam-6237	128	3	numerical	numerical	ADJ
ejpam-6237	128	4	results	result	NOUN
ejpam-6237	128	5	and	and	CCONJ
ejpam-6237	128	6	discussion	discussion	NOUN
ejpam-6237	128	7	in	in	ADP
ejpam-6237	128	8	this	this	DET
ejpam-6237	128	9	section	section	NOUN
ejpam-6237	128	10	,	,	PUNCT
ejpam-6237	128	11	we	we	PRON
ejpam-6237	128	12	implement	implement	VERB
ejpam-6237	128	13	and	and	CCONJ
ejpam-6237	128	14	compare	compare	VERB
ejpam-6237	128	15	the	the	DET
ejpam-6237	128	16	performance	performance	NOUN
ejpam-6237	128	17	of	of	ADP
ejpam-6237	128	18	the	the	DET
ejpam-6237	128	19	four	four	NUM
ejpam-6237	128	20	methods	method	NOUN
ejpam-6237	128	21	namely	namely	ADV
ejpam-6237	128	22	hm	hm	INTJ
ejpam-6237	128	23	,	,	PUNCT
ejpam-6237	128	24	hhm	hhm	PROPN
ejpam-6237	128	25	,	,	PUNCT
ejpam-6237	128	26	cam	cam	NOUN
ejpam-6237	128	27	,	,	PUNCT
ejpam-6237	128	28	and	and	CCONJ
ejpam-6237	128	29	the	the	DET
ejpam-6237	128	30	proposed	propose	VERB
ejpam-6237	128	31	method	method	NOUN
ejpam-6237	128	32	cch	cch	PROPN
ejpam-6237	128	33	to	to	ADP
ejpam-6237	128	34	several	several	ADJ
ejpam-6237	128	35	ivps	ivps	PROPN
ejpam-6237	128	36	.	.	PUNCT
ejpam-6237	129	1	the	the	DET
ejpam-6237	129	2	comparison	comparison	NOUN
ejpam-6237	129	3	is	be	AUX
ejpam-6237	129	4	carried	carry	VERB
ejpam-6237	129	5	out	out	ADP
ejpam-6237	129	6	by	by	ADP
ejpam-6237	129	7	reporting	report	VERB
ejpam-6237	129	8	the	the	DET
ejpam-6237	129	9	error	error	NOUN
ejpam-6237	129	10	produced	produce	VERB
ejpam-6237	129	11	by	by	ADP
ejpam-6237	129	12	each	each	DET
ejpam-6237	129	13	method	method	NOUN
ejpam-6237	129	14	for	for	ADP
ejpam-6237	129	15	three	three	NUM
ejpam-6237	129	16	different	different	ADJ
ejpam-6237	129	17	step	step	NOUN
ejpam-6237	129	18	-	-	PUNCT
ejpam-6237	129	19	sizes	size	NOUN
ejpam-6237	129	20	:	:	PUNCT
ejpam-6237	130	1	h	h	NOUN
ejpam-6237	130	2	=	=	NOUN
ejpam-6237	130	3	0.1	0.1	NUM
ejpam-6237	130	4	,	,	PUNCT
ejpam-6237	130	5	h	h	NOUN
ejpam-6237	131	1	=	=	NOUN
ejpam-6237	131	2	0.01	0.01	NUM
ejpam-6237	131	3	,	,	PUNCT
ejpam-6237	131	4	and	and	CCONJ
ejpam-6237	131	5	h	h	NOUN
ejpam-6237	131	6	=	=	NOUN
ejpam-6237	131	7	0.001	0.001	NUM
ejpam-6237	131	8	.	.	PUNCT
ejpam-6237	132	1	additionally	additionally	ADV
ejpam-6237	132	2	,	,	PUNCT
ejpam-6237	132	3	we	we	PRON
ejpam-6237	132	4	include	include	VERB
ejpam-6237	132	5	the	the	DET
ejpam-6237	132	6	run	run	ADJ
ejpam-6237	132	7	time	time	NOUN
ejpam-6237	132	8	(	(	PUNCT
ejpam-6237	132	9	in	in	ADP
ejpam-6237	132	10	second	second	ADJ
ejpam-6237	132	11	)	)	PUNCT
ejpam-6237	132	12	for	for	ADP
ejpam-6237	132	13	each	each	DET
ejpam-6237	132	14	method	method	NOUN
ejpam-6237	132	15	to	to	PART
ejpam-6237	132	16	evaluate	evaluate	VERB
ejpam-6237	132	17	the	the	DET
ejpam-6237	132	18	computational	computational	ADJ
ejpam-6237	132	19	time	time	NOUN
ejpam-6237	132	20	required	require	VERB
ejpam-6237	132	21	during	during	ADP
ejpam-6237	132	22	the	the	DET
ejpam-6237	132	23	simulations	simulation	NOUN
ejpam-6237	132	24	.	.	PUNCT
ejpam-6237	133	1	example	example	NOUN
ejpam-6237	134	1	1	1	NUM
ejpam-6237	134	2	.	.	PUNCT
ejpam-6237	134	3	dy	dy	VERB
ejpam-6237	134	4	dx	dx	PROPN
ejpam-6237	135	1	=	=	PROPN
ejpam-6237	135	2	x3e−2x	x3e−2x	PROPN
ejpam-6237	135	3	−	−	PROPN
ejpam-6237	135	4	2y	2y	PROPN
ejpam-6237	135	5	y(0	y(0	NOUN
ejpam-6237	135	6	)	)	PUNCT
ejpam-6237	135	7	=	=	SYM
ejpam-6237	135	8	1	1	NUM
ejpam-6237	135	9	example	example	NOUN
ejpam-6237	136	1	2	2	NUM
ejpam-6237	136	2	.	.	X
ejpam-6237	136	3	dy	dy	NOUN
ejpam-6237	136	4	dx	dx	PROPN
ejpam-6237	137	1	=	=	PUNCT
ejpam-6237	137	2	−100y	−100y	X
ejpam-6237	137	3	+	+	PUNCT
ejpam-6237	137	4	e−2x	e−2x	NOUN
ejpam-6237	137	5	y(0	y(0	NOUN
ejpam-6237	137	6	)	)	PUNCT
ejpam-6237	137	7	=	=	SYM
ejpam-6237	137	8	0	0	NUM
ejpam-6237	137	9	syamsudhuha	syamsudhuha	NOUN
ejpam-6237	137	10	et	et	PROPN
ejpam-6237	137	11	al	al	PROPN
ejpam-6237	137	12	.	.	PUNCT
ejpam-6237	137	13	/	/	SYM
ejpam-6237	137	14	eur	eur	PROPN
ejpam-6237	137	15	.	.	PUNCT
ejpam-6237	138	1	j.	j.	PROPN
ejpam-6237	138	2	pure	pure	PROPN
ejpam-6237	138	3	appl	appl	PROPN
ejpam-6237	138	4	.	.	PROPN
ejpam-6237	138	5	math	math	PROPN
ejpam-6237	138	6	,	,	PUNCT
ejpam-6237	138	7	18	18	NUM
ejpam-6237	138	8	(	(	PUNCT
ejpam-6237	138	9	3	3	NUM
ejpam-6237	138	10	)	)	PUNCT
ejpam-6237	138	11	(	(	PUNCT
ejpam-6237	138	12	2025	2025	NUM
ejpam-6237	138	13	)	)	PUNCT
ejpam-6237	138	14	,	,	PUNCT
ejpam-6237	138	15	6237	6237	NUM
ejpam-6237	138	16	8	8	NUM
ejpam-6237	138	17	of	of	ADP
ejpam-6237	138	18	15	15	NUM
ejpam-6237	138	19	example	example	NOUN
ejpam-6237	138	20	3	3	NUM
ejpam-6237	138	21	.	.	X
ejpam-6237	138	22	consider	consider	VERB
ejpam-6237	138	23	an	an	DET
ejpam-6237	138	24	insulated	insulated	ADJ
ejpam-6237	138	25	box	box	NOUN
ejpam-6237	138	26	with	with	ADP
ejpam-6237	138	27	internal	internal	ADJ
ejpam-6237	138	28	temperature	temperature	NOUN
ejpam-6237	138	29	y(t	y(t	PROPN
ejpam-6237	138	30	)	)	PUNCT
ejpam-6237	138	31	.	.	PUNCT
ejpam-6237	139	1	according	accord	VERB
ejpam-6237	139	2	to	to	ADP
ejpam-6237	139	3	newton	newton	PROPN
ejpam-6237	139	4	’s	’s	PART
ejpam-6237	139	5	law	law	NOUN
ejpam-6237	139	6	of	of	ADP
ejpam-6237	139	7	cooling	cooling	NOUN
ejpam-6237	139	8	,	,	PUNCT
ejpam-6237	139	9	y	y	PROPN
ejpam-6237	139	10	satisfies	satisfy	VERB
ejpam-6237	139	11	the	the	DET
ejpam-6237	139	12	differential	differential	ADJ
ejpam-6237	139	13	equation	equation	NOUN
ejpam-6237	139	14	dy	dy	NOUN
ejpam-6237	139	15	dt	dt	NOUN
ejpam-6237	139	16	=	=	PUNCT
ejpam-6237	140	1	−α(y(t)−	−α(y(t)−	X
ejpam-6237	140	2	t	t	PROPN
ejpam-6237	140	3	(	(	PUNCT
ejpam-6237	140	4	t	t	PROPN
ejpam-6237	140	5	)	)	PUNCT
ejpam-6237	140	6	)	)	PUNCT
ejpam-6237	141	1	(	(	PUNCT
ejpam-6237	141	2	26	26	NUM
ejpam-6237	141	3	)	)	PUNCT
ejpam-6237	141	4	where	where	SCONJ
ejpam-6237	141	5	t	t	PROPN
ejpam-6237	141	6	(	(	PUNCT
ejpam-6237	141	7	t	t	PROPN
ejpam-6237	141	8	)	)	PUNCT
ejpam-6237	141	9	is	be	AUX
ejpam-6237	141	10	the	the	DET
ejpam-6237	141	11	external	external	ADJ
ejpam-6237	141	12	temperature	temperature	NOUN
ejpam-6237	141	13	.	.	PUNCT
ejpam-6237	142	1	suppose	suppose	VERB
ejpam-6237	142	2	that	that	SCONJ
ejpam-6237	142	3	t	t	PROPN
ejpam-6237	142	4	(	(	PUNCT
ejpam-6237	142	5	t	t	PROPN
ejpam-6237	142	6	)	)	PUNCT
ejpam-6237	142	7	varies	vary	VERB
ejpam-6237	142	8	sinusoidally	sinusoidally	ADV
ejpam-6237	142	9	,	,	PUNCT
ejpam-6237	142	10	for	for	ADP
ejpam-6237	142	11	example	example	NOUN
ejpam-6237	142	12	,	,	PUNCT
ejpam-6237	142	13	assume	assume	VERB
ejpam-6237	142	14	that	that	SCONJ
ejpam-6237	142	15	t	t	PROPN
ejpam-6237	142	16	(	(	PUNCT
ejpam-6237	142	17	t	t	PROPN
ejpam-6237	142	18	)	)	PUNCT
ejpam-6237	142	19	=	=	SYM
ejpam-6237	142	20	t0	t0	PROPN
ejpam-6237	142	21	+	+	CCONJ
ejpam-6237	142	22	t1	t1	VERB
ejpam-6237	142	23	cos(ωt	cos(ωt	NOUN
ejpam-6237	142	24	)	)	PUNCT
ejpam-6237	143	1	[	[	X
ejpam-6237	143	2	19	19	NUM
ejpam-6237	143	3	]	]	PUNCT
ejpam-6237	143	4	with	with	ADP
ejpam-6237	143	5	t	t	PROPN
ejpam-6237	143	6	(	(	PUNCT
ejpam-6237	143	7	0	0	NUM
ejpam-6237	143	8	)	)	PUNCT
ejpam-6237	143	9	=	=	SYM
ejpam-6237	143	10	32	32	NUM
ejpam-6237	143	11	◦	◦	NOUN
ejpam-6237	143	12	f.	f.	NOUN
ejpam-6237	143	13	set	set	VERB
ejpam-6237	143	14	w	w	PROPN
ejpam-6237	143	15	=	=	SYM
ejpam-6237	143	16	π/12	π/12	PROPN
ejpam-6237	143	17	,	,	PUNCT
ejpam-6237	143	18	which	which	PRON
ejpam-6237	143	19	is	be	AUX
ejpam-6237	143	20	corresponding	correspond	VERB
ejpam-6237	143	21	to	to	ADP
ejpam-6237	143	22	a	a	DET
ejpam-6237	143	23	period	period	NOUN
ejpam-6237	143	24	of	of	ADP
ejpam-6237	143	25	24	24	NUM
ejpam-6237	143	26	hour	hour	NOUN
ejpam-6237	143	27	for	for	ADP
ejpam-6237	143	28	t	t	PROPN
ejpam-6237	143	29	(	(	PUNCT
ejpam-6237	143	30	t	t	PROPN
ejpam-6237	143	31	)	)	PUNCT
ejpam-6237	143	32	,	,	PUNCT
ejpam-6237	143	33	and	and	CCONJ
ejpam-6237	143	34	let	let	VERB
ejpam-6237	143	35	t0	t0	NOUN
ejpam-6237	143	36	=	=	PUNCT
ejpam-6237	143	37	60	60	NUM
ejpam-6237	143	38	◦	◦	NOUN
ejpam-6237	143	39	f	f	NOUN
ejpam-6237	143	40	,	,	PUNCT
ejpam-6237	143	41	t1	t1	NOUN
ejpam-6237	143	42	=	=	NOUN
ejpam-6237	143	43	15	15	NUM
ejpam-6237	143	44	◦	◦	NOUN
ejpam-6237	143	45	f	f	NOUN
ejpam-6237	143	46	,	,	PUNCT
ejpam-6237	143	47	and	and	CCONJ
ejpam-6237	143	48	α	α	NOUN
ejpam-6237	143	49	=	=	NOUN
ejpam-6237	143	50	0.2	0.2	NUM
ejpam-6237	143	51	/	/	SYM
ejpam-6237	143	52	hour	hour	NOUN
ejpam-6237	143	53	.	.	PUNCT
ejpam-6237	144	1	we	we	PRON
ejpam-6237	144	2	are	be	AUX
ejpam-6237	144	3	looking	look	VERB
ejpam-6237	144	4	for	for	ADP
ejpam-6237	144	5	the	the	DET
ejpam-6237	144	6	behavior	behavior	NOUN
ejpam-6237	144	7	of	of	ADP
ejpam-6237	144	8	the	the	DET
ejpam-6237	144	9	studied	study	VERB
ejpam-6237	144	10	method	method	NOUN
ejpam-6237	144	11	for	for	ADP
ejpam-6237	144	12	different	different	ADJ
ejpam-6237	144	13	step	step	NOUN
ejpam-6237	144	14	sizes	size	NOUN
ejpam-6237	144	15	h	h	NOUN
ejpam-6237	144	16	,	,	PUNCT
ejpam-6237	144	17	for	for	ADP
ejpam-6237	144	18	t	t	PROPN
ejpam-6237	144	19	(	(	PUNCT
ejpam-6237	144	20	1	1	NUM
ejpam-6237	144	21	)	)	PUNCT
ejpam-6237	144	22	.	.	PUNCT
ejpam-6237	145	1	table	table	NOUN
ejpam-6237	145	2	1	1	NUM
ejpam-6237	145	3	:	:	PUNCT
ejpam-6237	145	4	error	error	NOUN
ejpam-6237	145	5	and	and	CCONJ
ejpam-6237	145	6	run	run	VERB
ejpam-6237	145	7	time	time	NOUN
ejpam-6237	145	8	comparison	comparison	NOUN
ejpam-6237	145	9	of	of	ADP
ejpam-6237	145	10	hm	hm	INTJ
ejpam-6237	145	11	,	,	PUNCT
ejpam-6237	145	12	hhm	hhm	PROPN
ejpam-6237	145	13	,	,	PUNCT
ejpam-6237	145	14	cam	cam	NOUN
ejpam-6237	145	15	and	and	CCONJ
ejpam-6237	145	16	cch	cch	PROPN
ejpam-6237	145	17	for	for	ADP
ejpam-6237	145	18	example	example	NOUN
ejpam-6237	145	19	1	1	NUM
ejpam-6237	145	20	h	h	PROPN
ejpam-6237	145	21	x(i	x(i	PROPN
ejpam-6237	145	22	)	)	PUNCT
ejpam-6237	146	1	hm	hm	INTJ
ejpam-6237	146	2	hhm	hhm	PROPN
ejpam-6237	146	3	cam	cam	PROPN
ejpam-6237	146	4	cch	cch	PROPN
ejpam-6237	146	5	h	h	NOUN
ejpam-6237	147	1	=	=	NOUN
ejpam-6237	147	2	0.1	0.1	NUM
ejpam-6237	147	3	0.1000000000	0.1000000000	NUM
ejpam-6237	147	4	1.289715e-03	1.289715e-03	NUM
ejpam-6237	147	5	9.015333e-02	9.015333e-02	NUM
ejpam-6237	147	6	1.737973e-04	1.737973e-04	NUM
ejpam-6237	147	7	1.981754e-04	1.981754e-04	NUM
ejpam-6237	147	8	0.2000000000	0.2000000000	NUM
ejpam-6237	147	9	2.146271e-03	2.146271e-03	NUM
ejpam-6237	147	10	1.556291e-01	1.556291e-01	NUM
ejpam-6237	147	11	2.948941e-04	2.948941e-04	NUM
ejpam-6237	147	12	3.216807e-04	3.216807e-04	NUM
ejpam-6237	147	13	0.3000000000	0.3000000000	NUM
ejpam-6237	147	14	2.674663e-03	2.674663e-03	NUM
ejpam-6237	147	15	2.014410e-01	2.014410e-01	NUM
ejpam-6237	147	16	3.574880e-04	3.574880e-04	NUM
ejpam-6237	147	17	4.135400e-04	4.135400e-04	NUM
ejpam-6237	147	18	0.4000000000	0.4000000000	NUM
ejpam-6237	147	19	2.955967e-03	2.955967e-03	NUM
ejpam-6237	147	20	2.316413e-01	2.316413e-01	NUM
ejpam-6237	147	21	3.678603e-04	3.678603e-04	NUM
ejpam-6237	147	22	4.925873e-04	4.925873e-04	NUM
ejpam-6237	147	23	0.5000000000	0.5000000000	NUM
ejpam-6237	148	1	3.053693e-03	3.053693e-03	NUM
ejpam-6237	148	2	2.495483e-01	2.495483e-01	NUM
ejpam-6237	148	3	3.376646e-04	3.376646e-04	NUM
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ejpam-6237	148	95	h	h	NOUN
ejpam-6237	148	96	=	=	NOUN
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ejpam-6237	148	129	2.492000e-07	2.492000e-07	NUM
ejpam-6237	148	130	2.439277e-01	2.439277e-01	NUM
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ejpam-6237	148	134	2.320000e-07	2.320000e-07	NUM
ejpam-6237	148	135	2.391724e-01	2.391724e-01	NUM
ejpam-6237	148	136	4.280000e-08	4.280000e-08	NUM
ejpam-6237	148	137	1.940000e-08	1.940000e-08	NUM
ejpam-6237	148	138	0.9090000000	0.9090000000	NUM
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ejpam-6237	148	140	2.298541e-01	2.298541e-01	NUM
ejpam-6237	148	141	3.290000e-08	3.290000e-08	NUM
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ejpam-6237	148	144	1.903000e-07	1.903000e-07	NUM
ejpam-6237	148	145	2.198422e-01	2.198422e-01	NUM
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ejpam-6237	148	148	run	run	NOUN
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ejpam-6237	148	155	et	et	PROPN
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ejpam-6237	149	8	(	(	PUNCT
ejpam-6237	149	9	3	3	NUM
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ejpam-6237	149	11	(	(	PUNCT
ejpam-6237	149	12	2025	2025	NUM
ejpam-6237	149	13	)	)	PUNCT
ejpam-6237	149	14	,	,	PUNCT
ejpam-6237	149	15	6237	6237	NUM
ejpam-6237	149	16	9	9	NUM
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ejpam-6237	149	18	15	15	NUM
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ejpam-6237	149	21	:	:	PUNCT
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ejpam-6237	149	38	h	h	PROPN
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ejpam-6237	149	40	)	)	PUNCT
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ejpam-6237	150	2	hhm	hhm	PROPN
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ejpam-6237	150	5	h	h	NOUN
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ejpam-6237	151	7	8.182692e+01	8.182692e+01	NUM
ejpam-6237	151	8	0.2000	0.2000	NUM
ejpam-6237	151	9	1.663887e+03	1.663887e+03	NUM
ejpam-6237	151	10	2.702392e+03	2.702392e+03	NUM
ejpam-6237	151	11	5.167022e+03	5.167022e+03	NUM
ejpam-6237	151	12	6.764362e+03	6.764362e+03	NUM
ejpam-6237	151	13	0.3000	0.3000	NUM
ejpam-6237	151	14	6.821935e+04	6.821935e+04	NUM
ejpam-6237	151	15	1.412000e+05	1.412000e+05	NUM
ejpam-6237	151	16	3.733173e+05	3.733173e+05	NUM
ejpam-6237	151	17	5.591872e+05	5.591872e+05	NUM
ejpam-6237	152	1	0.4000	0.4000	NUM
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ejpam-6237	152	3	7.377699e+06	7.377699e+06	NUM
ejpam-6237	152	4	2.697218e+07	2.697218e+07	NUM
ejpam-6237	152	5	4.622614e+07	4.622614e+07	NUM
ejpam-6237	152	6	0.5000	0.5000	NUM
ejpam-6237	152	7	1.146767e+08	1.146767e+08	NUM
ejpam-6237	152	8	3.854848e+08	3.854848e+08	NUM
ejpam-6237	152	9	1.948740e+09	1.948740e+09	NUM
ejpam-6237	152	10	3.821361e+09	3.821361e+09	NUM
ejpam-6237	152	11	0.6000	0.6000	NUM
ejpam-6237	152	12	4.701746e+09	4.701746e+09	NUM
ejpam-6237	152	13	2.014158e+10	2.014158e+10	NUM
ejpam-6237	152	14	1.407964e+11	1.407964e+11	PROPN
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ejpam-6237	152	17	1.927716e+11	1.927716e+11	NUM
ejpam-6237	152	18	1.052398e+12	1.052398e+12	PROPN
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ejpam-6237	152	20	2.611433e+13	2.611433e+13	NUM
ejpam-6237	152	21	0.8000	0.8000	NUM
ejpam-6237	152	22	7.903635e+12	7.903635e+12	NUM
ejpam-6237	153	1	5.498777e+13	5.498777e+13	NUM
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ejpam-6237	153	3	2.158785e+15	2.158785e+15	PROPN
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ejpam-6237	153	5	3.240490e+14	3.240490e+14	NUM
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ejpam-6237	153	7	5.310131e+16	5.310131e+16	NUM
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ejpam-6237	153	13	1.475266e+19	1.475266e+19	NUM
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ejpam-6237	153	19	0.001	0.001	NUM
ejpam-6237	153	20	h	h	NOUN
ejpam-6237	153	21	=	=	NOUN
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ejpam-6237	154	1	9.687756e-04	9.687756e-04	NUM
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ejpam-6237	154	3	1.372350e-05	1.372350e-05	NUM
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ejpam-6237	154	9	1.333645e-06	1.333645e-06	NUM
ejpam-6237	154	10	0.3000	0.3000	NUM
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ejpam-6237	154	12	1.634442e-04	1.634442e-04	NUM
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ejpam-6237	154	15	0.5000	0.5000	NUM
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ejpam-6237	155	3	4.922410e-05	4.922410e-05	NUM
ejpam-6237	155	4	3.327000e-07	3.327000e-07	NUM
ejpam-6237	155	5	3.281880e-07	3.281880e-07	NUM
ejpam-6237	155	6	1.0000	1.0000	NUM
ejpam-6237	155	7	2.837770e-07	2.837770e-07	NUM
ejpam-6237	155	8	4.030128e-05	4.030128e-05	NUM
ejpam-6237	155	9	2.723920e-07	2.723920e-07	NUM
ejpam-6237	155	10	2.686970e-07	2.686970e-07	NUM
ejpam-6237	155	11	run	run	VERB
ejpam-6237	155	12	time	time	NOUN
ejpam-6237	155	13	0.006	0.006	NUM
ejpam-6237	155	14	0.005	0.005	NUM
ejpam-6237	155	15	0.01	0.01	NUM
ejpam-6237	155	16	0.011	0.011	NUM
ejpam-6237	155	17	h	h	NOUN
ejpam-6237	156	1	=	=	SYM
ejpam-6237	156	2	0.001	0.001	NUM
ejpam-6237	156	3	0.1000	0.1000	NUM
ejpam-6237	156	4	4.622350e-05	4.622350e-05	NUM
ejpam-6237	156	5	7.699141e-03	7.699141e-03	NUM
ejpam-6237	156	6	4.566264e-05	4.566264e-05	NUM
ejpam-6237	156	7	4.547745e-05	4.547745e-05	NUM
ejpam-6237	156	8	0.2000	0.2000	NUM
ejpam-6237	156	9	9.438000e-09	9.438000e-09	NUM
ejpam-6237	156	10	2.070950e-04	2.070950e-04	NUM
ejpam-6237	156	11	9.328000e-09	9.328000e-09	NUM
ejpam-6237	156	12	9.291000e-09	9.291000e-09	NUM
ejpam-6237	156	13	0.3000	0.3000	NUM
ejpam-6237	156	14	5.977000e-09	5.977000e-09	NUM
ejpam-6237	156	15	1.232044e-04	1.232044e-04	NUM
ejpam-6237	156	16	5.911000e-09	5.911000e-09	NUM
ejpam-6237	156	17	5.889000e-09	5.889000e-09	NUM
ejpam-6237	156	18	0.4000	0.4000	NUM
ejpam-6237	156	19	4.894000e-09	4.894000e-09	NUM
ejpam-6237	156	20	1.005181e-04	1.005181e-04	NUM
ejpam-6237	156	21	4.839000e-09	4.839000e-09	NUM
ejpam-6237	156	22	4.821000e-09	4.821000e-09	NUM
ejpam-6237	156	23	0.5000	0.5000	NUM
ejpam-6237	157	1	4.006000e-09	4.006000e-09	NUM
ejpam-6237	157	2	8.229458e-05	8.229458e-05	NUM
ejpam-6237	157	3	3.961000e-09	3.961000e-09	NUM
ejpam-6237	157	4	3.946000e-09	3.946000e-09	NUM
ejpam-6237	157	5	0.6000	0.6000	NUM
ejpam-6237	157	6	3.280000e-09	3.280000e-09	NUM
ejpam-6237	157	7	6.737708e-05	6.737708e-05	NUM
ejpam-6237	157	8	3.244000e-09	3.244000e-09	NUM
ejpam-6237	157	9	3.232000e-09	3.232000e-09	NUM
ejpam-6237	157	10	0.7000	0.7000	NUM
ejpam-6237	157	11	2.686000e-09	2.686000e-09	NUM
ejpam-6237	157	12	5.516369e-05	5.516369e-05	NUM
ejpam-6237	157	13	2.657000e-09	2.657000e-09	NUM
ejpam-6237	157	14	2.647000e-09	2.647000e-09	NUM
ejpam-6237	157	15	0.8000	0.8000	NUM
ejpam-6237	157	16	2.199000e-09	2.199000e-09	NUM
ejpam-6237	157	17	4.516421e-05	4.516421e-05	NUM
ejpam-6237	157	18	2.174000e-09	2.174000e-09	NUM
ejpam-6237	157	19	2.166000e-09	2.166000e-09	NUM
ejpam-6237	157	20	0.9000	0.9000	NUM
ejpam-6237	157	21	1.801000e-09	1.801000e-09	NUM
ejpam-6237	157	22	3.697733e-05	3.697733e-05	NUM
ejpam-6237	157	23	1.781000e-09	1.781000e-09	NUM
ejpam-6237	157	24	1.774000e-09	1.774000e-09	NUM
ejpam-6237	157	25	1.0000	1.0000	NUM
ejpam-6237	157	26	1.475000e-09	1.475000e-09	NUM
ejpam-6237	157	27	3.027447e-05	3.027447e-05	NUM
ejpam-6237	157	28	1.458000e-09	1.458000e-09	NUM
ejpam-6237	157	29	1.453000e-09	1.453000e-09	NUM
ejpam-6237	157	30	run	run	NOUN
ejpam-6237	157	31	time	time	NOUN
ejpam-6237	157	32	0.047	0.047	NUM
ejpam-6237	157	33	0.047	0.047	NUM
ejpam-6237	157	34	0.196	0.196	NUM
ejpam-6237	157	35	0.181	0.181	NUM
ejpam-6237	157	36	3.1	3.1	NUM
ejpam-6237	157	37	.	.	PUNCT
ejpam-6237	158	1	discussion	discussion	NOUN
ejpam-6237	158	2	the	the	DET
ejpam-6237	158	3	numerical	numerical	ADJ
ejpam-6237	158	4	results	result	NOUN
ejpam-6237	158	5	presented	present	VERB
ejpam-6237	158	6	in	in	ADP
ejpam-6237	158	7	table	table	NOUN
ejpam-6237	158	8	1	1	NUM
ejpam-6237	158	9	,	,	PUNCT
ejpam-6237	158	10	table	table	NOUN
ejpam-6237	158	11	2	2	NUM
ejpam-6237	158	12	,	,	PUNCT
ejpam-6237	158	13	table	table	NOUN
ejpam-6237	158	14	3	3	NUM
ejpam-6237	158	15	,	,	PUNCT
ejpam-6237	158	16	and	and	CCONJ
ejpam-6237	158	17	table	table	NOUN
ejpam-6237	158	18	4	4	NUM
ejpam-6237	158	19	compare	compare	VERB
ejpam-6237	158	20	the	the	DET
ejpam-6237	158	21	performance	performance	NOUN
ejpam-6237	158	22	of	of	ADP
ejpam-6237	158	23	four	four	NUM
ejpam-6237	158	24	numerical	numerical	ADJ
ejpam-6237	158	25	methods	method	NOUN
ejpam-6237	158	26	hm	hm	INTJ
ejpam-6237	158	27	,	,	PUNCT
ejpam-6237	158	28	hhm	hhm	PROPN
ejpam-6237	158	29	,	,	PUNCT
ejpam-6237	158	30	cam	cam	PROPN
ejpam-6237	158	31	,	,	PUNCT
ejpam-6237	158	32	cch	cch	PROPN
ejpam-6237	158	33	,	,	PUNCT
ejpam-6237	158	34	for	for	ADP
ejpam-6237	158	35	solving	solve	VERB
ejpam-6237	158	36	the	the	DET
ejpam-6237	158	37	initial	initial	ADJ
ejpam-6237	158	38	value	value	NOUN
ejpam-6237	158	39	problems	problem	NOUN
ejpam-6237	158	40	in	in	ADP
ejpam-6237	158	41	example	example	NOUN
ejpam-6237	158	42	1	1	NUM
ejpam-6237	158	43	,	,	PUNCT
ejpam-6237	158	44	example	example	NOUN
ejpam-6237	158	45	2	2	NUM
ejpam-6237	158	46	,	,	PUNCT
ejpam-6237	158	47	example	example	NOUN
ejpam-6237	158	48	3	3	NUM
ejpam-6237	158	49	,	,	PUNCT
ejpam-6237	158	50	and	and	CCONJ
ejpam-6237	158	51	example	example	NOUN
ejpam-6237	158	52	3	3	NUM
ejpam-6237	158	53	with	with	ADP
ejpam-6237	158	54	parameter	parameter	NOUN
ejpam-6237	158	55	changing	change	VERB
ejpam-6237	158	56	α	α	NOUN
ejpam-6237	158	57	=	=	NOUN
ejpam-6237	158	58	3	3	NUM
ejpam-6237	158	59	respectively	respectively	ADV
ejpam-6237	158	60	.	.	PUNCT
ejpam-6237	159	1	these	these	DET
ejpam-6237	159	2	methods	method	NOUN
ejpam-6237	159	3	were	be	AUX
ejpam-6237	159	4	applied	apply	VERB
ejpam-6237	159	5	using	use	VERB
ejpam-6237	159	6	three	three	NUM
ejpam-6237	159	7	different	different	ADJ
ejpam-6237	159	8	step	step	NOUN
ejpam-6237	159	9	sizes	size	NOUN
ejpam-6237	159	10	:	:	PUNCT
ejpam-6237	159	11	h	h	NOUN
ejpam-6237	159	12	=	=	NOUN
ejpam-6237	159	13	0.1	0.1	NUM
ejpam-6237	159	14	,	,	PUNCT
ejpam-6237	159	15	h	h	NOUN
ejpam-6237	159	16	=	=	NOUN
ejpam-6237	159	17	0.01	0.01	NUM
ejpam-6237	159	18	,	,	PUNCT
ejpam-6237	159	19	and	and	CCONJ
ejpam-6237	159	20	h	h	NOUN
ejpam-6237	159	21	=	=	NOUN
ejpam-6237	159	22	0.001	0.001	NUM
ejpam-6237	159	23	.	.	PUNCT
ejpam-6237	160	1	the	the	DET
ejpam-6237	160	2	analysis	analysis	NOUN
ejpam-6237	160	3	focuses	focus	VERB
ejpam-6237	160	4	on	on	ADP
ejpam-6237	160	5	how	how	SCONJ
ejpam-6237	160	6	the	the	DET
ejpam-6237	160	7	accuracy	accuracy	NOUN
ejpam-6237	160	8	of	of	ADP
ejpam-6237	160	9	each	each	DET
ejpam-6237	160	10	method	method	NOUN
ejpam-6237	160	11	varies	vary	VERB
ejpam-6237	160	12	with	with	ADP
ejpam-6237	160	13	step	step	NOUN
ejpam-6237	160	14	size	size	NOUN
ejpam-6237	160	15	and	and	CCONJ
ejpam-6237	160	16	problem	problem	NOUN
ejpam-6237	160	17	complexity	complexity	NOUN
ejpam-6237	160	18	as	as	ADV
ejpam-6237	160	19	well	well	ADV
ejpam-6237	160	20	as	as	ADP
ejpam-6237	160	21	the	the	DET
ejpam-6237	160	22	run	run	ADJ
ejpam-6237	160	23	time	time	NOUN
ejpam-6237	160	24	of	of	ADP
ejpam-6237	160	25	each	each	DET
ejpam-6237	160	26	method	method	NOUN
ejpam-6237	160	27	.	.	PUNCT
ejpam-6237	161	1	in	in	ADP
ejpam-6237	161	2	general	general	ADJ
ejpam-6237	161	3	,	,	PUNCT
ejpam-6237	161	4	all	all	DET
ejpam-6237	161	5	methods	method	NOUN
ejpam-6237	161	6	show	show	VERB
ejpam-6237	161	7	improved	improved	ADJ
ejpam-6237	161	8	accuracy	accuracy	NOUN
ejpam-6237	161	9	as	as	SCONJ
ejpam-6237	161	10	the	the	DET
ejpam-6237	161	11	step	step	NOUN
ejpam-6237	161	12	size	size	NOUN
ejpam-6237	161	13	decreases	decrease	VERB
ejpam-6237	161	14	.	.	PUNCT
ejpam-6237	162	1	this	this	PRON
ejpam-6237	162	2	is	be	AUX
ejpam-6237	162	3	consistent	consistent	ADJ
ejpam-6237	162	4	with	with	ADP
ejpam-6237	162	5	theoretical	theoretical	ADJ
ejpam-6237	162	6	expectations	expectation	NOUN
ejpam-6237	162	7	since	since	SCONJ
ejpam-6237	162	8	smaller	small	ADJ
ejpam-6237	162	9	step	step	NOUN
ejpam-6237	162	10	sizes	size	NOUN
ejpam-6237	162	11	reduce	reduce	VERB
ejpam-6237	162	12	the	the	DET
ejpam-6237	162	13	local	local	ADJ
ejpam-6237	162	14	truncation	truncation	NOUN
ejpam-6237	162	15	error	error	NOUN
ejpam-6237	162	16	.	.	PUNCT
ejpam-6237	163	1	the	the	DET
ejpam-6237	163	2	improvement	improvement	NOUN
ejpam-6237	163	3	is	be	AUX
ejpam-6237	163	4	particularly	particularly	ADV
ejpam-6237	163	5	notable	notable	ADJ
ejpam-6237	163	6	when	when	SCONJ
ejpam-6237	163	7	comparing	compare	VERB
ejpam-6237	163	8	results	result	NOUN
ejpam-6237	163	9	at	at	ADP
ejpam-6237	163	10	h	h	NOUN
ejpam-6237	163	11	=	=	NOUN
ejpam-6237	163	12	0.1	0.1	NUM
ejpam-6237	163	13	and	and	CCONJ
ejpam-6237	163	14	h	h	NOUN
ejpam-6237	163	15	=	=	NOUN
ejpam-6237	163	16	0.001	0.001	NUM
ejpam-6237	163	17	.	.	PUNCT
ejpam-6237	164	1	while	while	SCONJ
ejpam-6237	164	2	hm	hm	INTJ
ejpam-6237	164	3	,	,	PUNCT
ejpam-6237	164	4	cam	cam	NOUN
ejpam-6237	164	5	,	,	PUNCT
ejpam-6237	164	6	and	and	CCONJ
ejpam-6237	164	7	cch	cch	NOUN
ejpam-6237	164	8	tend	tend	VERB
ejpam-6237	164	9	to	to	PART
ejpam-6237	164	10	show	show	VERB
ejpam-6237	164	11	this	this	DET
ejpam-6237	164	12	expected	expect	VERB
ejpam-6237	164	13	behavior	behavior	NOUN
ejpam-6237	164	14	clearly	clearly	ADV
ejpam-6237	164	15	,	,	PUNCT
ejpam-6237	164	16	hhm	hhm	PROPN
ejpam-6237	164	17	appears	appear	VERB
ejpam-6237	164	18	to	to	PART
ejpam-6237	164	19	be	be	AUX
ejpam-6237	164	20	less	less	ADV
ejpam-6237	164	21	stable	stable	ADJ
ejpam-6237	164	22	and	and	CCONJ
ejpam-6237	164	23	often	often	ADV
ejpam-6237	164	24	yields	yield	VERB
ejpam-6237	164	25	larger	large	ADJ
ejpam-6237	164	26	errors	error	NOUN
ejpam-6237	164	27	,	,	PUNCT
ejpam-6237	164	28	especially	especially	ADV
ejpam-6237	164	29	for	for	ADP
ejpam-6237	164	30	larger	large	ADJ
ejpam-6237	164	31	step	step	NOUN
ejpam-6237	164	32	sizes	size	NOUN
ejpam-6237	164	33	.	.	PUNCT
ejpam-6237	165	1	for	for	ADP
ejpam-6237	165	2	example	example	NOUN
ejpam-6237	165	3	1	1	NUM
ejpam-6237	165	4	,	,	PUNCT
ejpam-6237	165	5	which	which	PRON
ejpam-6237	165	6	seems	seem	VERB
ejpam-6237	165	7	relatively	relatively	ADV
ejpam-6237	165	8	well	well	ADV
ejpam-6237	165	9	-	-	PUNCT
ejpam-6237	165	10	behaved	behave	VERB
ejpam-6237	165	11	,	,	PUNCT
ejpam-6237	165	12	all	all	DET
ejpam-6237	165	13	methods	method	NOUN
ejpam-6237	165	14	perform	perform	VERB
ejpam-6237	165	15	reasonably	reasonably	ADV
ejpam-6237	165	16	syamsudhuha	syamsudhuha	VERB
ejpam-6237	165	17	et	et	PROPN
ejpam-6237	165	18	al	al	PROPN
ejpam-6237	165	19	.	.	PUNCT
ejpam-6237	165	20	/	/	SYM
ejpam-6237	165	21	eur	eur	PROPN
ejpam-6237	165	22	.	.	PUNCT
ejpam-6237	166	1	j.	j.	PROPN
ejpam-6237	166	2	pure	pure	PROPN
ejpam-6237	166	3	appl	appl	PROPN
ejpam-6237	166	4	.	.	PROPN
ejpam-6237	166	5	math	math	PROPN
ejpam-6237	166	6	,	,	PUNCT
ejpam-6237	166	7	18	18	NUM
ejpam-6237	166	8	(	(	PUNCT
ejpam-6237	166	9	3	3	NUM
ejpam-6237	166	10	)	)	PUNCT
ejpam-6237	166	11	(	(	PUNCT
ejpam-6237	166	12	2025	2025	NUM
ejpam-6237	166	13	)	)	PUNCT
ejpam-6237	166	14	,	,	PUNCT
ejpam-6237	166	15	6237	6237	NUM
ejpam-6237	166	16	10	10	NUM
ejpam-6237	166	17	of	of	ADP
ejpam-6237	166	18	15	15	NUM
ejpam-6237	166	19	table	table	NOUN
ejpam-6237	166	20	3	3	NUM
ejpam-6237	166	21	:	:	PUNCT
ejpam-6237	166	22	error	error	NOUN
ejpam-6237	166	23	and	and	CCONJ
ejpam-6237	166	24	run	run	VERB
ejpam-6237	166	25	time	time	NOUN
ejpam-6237	166	26	comparison	comparison	NOUN
ejpam-6237	166	27	of	of	ADP
ejpam-6237	166	28	hm	hm	INTJ
ejpam-6237	166	29	,	,	PUNCT
ejpam-6237	166	30	hhm	hhm	PROPN
ejpam-6237	166	31	,	,	PUNCT
ejpam-6237	166	32	cam	cam	NOUN
ejpam-6237	166	33	and	and	CCONJ
ejpam-6237	166	34	cch	cch	PROPN
ejpam-6237	166	35	for	for	ADP
ejpam-6237	166	36	example	example	NOUN
ejpam-6237	166	37	3	3	NUM
ejpam-6237	166	38	h	h	PROPN
ejpam-6237	166	39	x(i	x(i	PROPN
ejpam-6237	166	40	)	)	PUNCT
ejpam-6237	166	41	hm	hm	INTJ
ejpam-6237	167	1	hhm	hhm	PROPN
ejpam-6237	167	2	cam	cam	PROPN
ejpam-6237	167	3	cch	cch	PROPN
ejpam-6237	167	4	h	h	NOUN
ejpam-6237	168	1	=	=	NOUN
ejpam-6237	168	2	0.1	0.1	NUM
ejpam-6237	168	3	0.1000000000	0.1000000000	NUM
ejpam-6237	168	4	7.435000e-05	7.435000e-05	NUM
ejpam-6237	168	5	4.257047e-01	4.257047e-01	NUM
ejpam-6237	168	6	3.039000e-05	3.039000e-05	NUM
ejpam-6237	168	7	1.574000e-05	1.574000e-05	NUM
ejpam-6237	168	8	0.2000000000	0.2000000000	NUM
ejpam-6237	168	9	1.467700e-04	1.467700e-04	NUM
ejpam-6237	168	10	8.386625e-01	8.386625e-01	NUM
ejpam-6237	168	11	5.953000e-05	5.953000e-05	NUM
ejpam-6237	168	12	3.045000e-05	3.045000e-05	NUM
ejpam-6237	168	13	0.3000000000	0.3000000000	NUM
ejpam-6237	168	14	2.172800e-04	2.172800e-04	NUM
ejpam-6237	168	15	1.239067e+00	1.239067e+00	NUM
ejpam-6237	168	16	8.741000e-05	8.741000e-05	NUM
ejpam-6237	168	17	4.412000e-05	4.412000e-05	NUM
ejpam-6237	168	18	0.4000000000	0.4000000000	NUM
ejpam-6237	168	19	2.859100e-04	2.859100e-04	NUM
ejpam-6237	168	20	1.627108e+00	1.627108e+00	NUM
ejpam-6237	168	21	1.140200e-04	1.140200e-04	NUM
ejpam-6237	168	22	5.673000e-05	5.673000e-05	NUM
ejpam-6237	168	23	0.5000000000	0.5000000000	NUM
ejpam-6237	168	24	3.527200e-04	3.527200e-04	NUM
ejpam-6237	168	25	2.002973e+00	2.002973e+00	NUM
ejpam-6237	168	26	1.393900e-04	1.393900e-04	NUM
ejpam-6237	168	27	6.829000e-05	6.829000e-05	NUM
ejpam-6237	168	28	0.6000000000	0.6000000000	NUM
ejpam-6237	168	29	4.177200e-04	4.177200e-04	NUM
ejpam-6237	168	30	2.366847e+00	2.366847e+00	NUM
ejpam-6237	168	31	1.635000e-04	1.635000e-04	NUM
ejpam-6237	168	32	7.877000e-05	7.877000e-05	NUM
ejpam-6237	168	33	0.7000000000	0.7000000000	NUM
ejpam-6237	168	34	4.809400e-04	4.809400e-04	NUM
ejpam-6237	168	35	2.718911e+00	2.718911e+00	NUM
ejpam-6237	168	36	1.863600e-04	1.863600e-04	NUM
ejpam-6237	168	37	8.818000e-05	8.818000e-05	NUM
ejpam-6237	168	38	0.8000000000	0.8000000000	NUM
ejpam-6237	168	39	5.424200e-04	5.424200e-04	NUM
ejpam-6237	168	40	3.059345e+00	3.059345e+00	NUM
ejpam-6237	168	41	2.079700e-04	2.079700e-04	NUM
ejpam-6237	168	42	9.650000e-05	9.650000e-05	NUM
ejpam-6237	168	43	0.9000000000	0.9000000000	NUM
ejpam-6237	168	44	6.021800e-04	6.021800e-04	NUM
ejpam-6237	168	45	3.388325e+00	3.388325e+00	NUM
ejpam-6237	168	46	2.283200e-04	2.283200e-04	NUM
ejpam-6237	168	47	1.037100e-04	1.037100e-04	NUM
ejpam-6237	168	48	1.0000000000	1.0000000000	NUM
ejpam-6237	168	49	6.602400e-04	6.602400e-04	NUM
ejpam-6237	168	50	3.706024e+00	3.706024e+00	NUM
ejpam-6237	168	51	2.474000e-04	2.474000e-04	NUM
ejpam-6237	168	52	1.098000e-04	1.098000e-04	NUM
ejpam-6237	168	53	run	run	VERB
ejpam-6237	168	54	time	time	NOUN
ejpam-6237	168	55	0.001	0.001	NUM
ejpam-6237	168	56	0.001	0.001	NUM
ejpam-6237	168	57	0.001	0.001	NUM
ejpam-6237	168	58	0.004	0.004	NUM
ejpam-6237	168	59	h	h	NOUN
ejpam-6237	168	60	=	=	NOUN
ejpam-6237	168	61	0.01	0.01	NUM
ejpam-6237	168	62	0.1000000000	0.1000000000	NUM
ejpam-6237	168	63	7.300000e-07	7.300000e-07	NUM
ejpam-6237	168	64	4.237957e-01	4.237957e-01	NUM
ejpam-6237	168	65	3.000000e-07	3.000000e-07	NUM
ejpam-6237	168	66	1.700000e-07	1.700000e-07	NUM
ejpam-6237	168	67	0.2000000000	0.2000000000	NUM
ejpam-6237	168	68	1.460000e-06	1.460000e-06	NUM
ejpam-6237	168	69	8.348833e-01	8.348833e-01	NUM
ejpam-6237	168	70	5.900000e-07	5.900000e-07	NUM
ejpam-6237	168	71	3.200000e-07	3.200000e-07	NUM
ejpam-6237	168	72	0.3000000000	0.3000000000	NUM
ejpam-6237	168	73	2.150000e-06	2.150000e-06	NUM
ejpam-6237	168	74	1.233456e+00	1.233456e+00	NUM
ejpam-6237	168	75	8.800000e-07	8.800000e-07	NUM
ejpam-6237	168	76	4.800000e-07	4.800000e-07	NUM
ejpam-6237	168	77	0.4000000000	0.4000000000	NUM
ejpam-6237	168	78	2.820000e-06	2.820000e-06	NUM
ejpam-6237	168	79	1.619705e+00	1.619705e+00	NUM
ejpam-6237	168	80	1.140000e-06	1.140000e-06	NUM
ejpam-6237	168	81	6.000000e-07	6.000000e-07	NUM
ejpam-6237	168	82	0.5000000000	0.5000000000	NUM
ejpam-6237	168	83	3.470000e-06	3.470000e-06	NUM
ejpam-6237	168	84	1.993816e+00	1.993816e+00	NUM
ejpam-6237	168	85	1.390000e-06	1.390000e-06	NUM
ejpam-6237	168	86	7.200000e-07	7.200000e-07	NUM
ejpam-6237	168	87	0.6000000000	0.6000000000	NUM
ejpam-6237	168	88	4.110000e-06	4.110000e-06	NUM
ejpam-6237	168	89	2.355974e+00	2.355974e+00	NUM
ejpam-6237	168	90	1.630000e-06	1.630000e-06	NUM
ejpam-6237	168	91	8.300000e-07	8.300000e-07	NUM
ejpam-6237	168	92	0.7000000000	0.7000000000	NUM
ejpam-6237	168	93	4.730000e-06	4.730000e-06	NUM
ejpam-6237	168	94	2.706361e+00	2.706361e+00	NUM
ejpam-6237	168	95	1.880000e-06	1.880000e-06	NUM
ejpam-6237	168	96	9.300000e-07	9.300000e-07	NUM
ejpam-6237	168	97	0.8000000000	0.8000000000	NUM
ejpam-6237	168	98	5.360000e-06	5.360000e-06	NUM
ejpam-6237	168	99	3.045156e+00	3.045156e+00	NUM
ejpam-6237	168	100	2.120000e-06	2.120000e-06	NUM
ejpam-6237	168	101	1.010000e-06	1.010000e-06	NUM
ejpam-6237	168	102	0.9000000000	0.9000000000	NUM
ejpam-6237	168	103	5.960000e-06	5.960000e-06	NUM
ejpam-6237	168	104	3.372534e+00	3.372534e+00	NUM
ejpam-6237	168	105	2.320000e-06	2.320000e-06	NUM
ejpam-6237	168	106	1.090000e-06	1.090000e-06	NUM
ejpam-6237	168	107	1.0000000000	1.0000000000	NUM
ejpam-6237	168	108	6.530000e-06	6.530000e-06	NUM
ejpam-6237	168	109	3.688671e+00	3.688671e+00	NUM
ejpam-6237	168	110	2.500000e-06	2.500000e-06	NUM
ejpam-6237	168	111	1.160000e-06	1.160000e-06	NUM
ejpam-6237	168	112	run	run	NOUN
ejpam-6237	168	113	time	time	NOUN
ejpam-6237	168	114	0.007	0.007	NUM
ejpam-6237	168	115	0.007	0.007	NUM
ejpam-6237	168	116	0.022	0.022	NUM
ejpam-6237	168	117	0.028	0.028	NUM
ejpam-6237	168	118	h	h	NOUN
ejpam-6237	168	119	=	=	NOUN
ejpam-6237	168	120	0.001	0.001	NUM
ejpam-6237	168	121	0.1000000000	0.1000000000	NUM
ejpam-6237	168	122	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	123	4.236042e-01	4.236042e-01	NUM
ejpam-6237	168	124	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	125	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	126	0.2000000000	0.2000000000	NUM
ejpam-6237	168	127	1.100000e-07	1.100000e-07	NUM
ejpam-6237	168	128	8.345042e-01	8.345042e-01	NUM
ejpam-6237	168	129	1.000000e-07	1.000000e-07	NUM
ejpam-6237	168	130	1.000000e-07	1.000000e-07	NUM
ejpam-6237	168	131	0.3000000000	0.3000000000	NUM
ejpam-6237	168	132	1.000000e-07	1.000000e-07	NUM
ejpam-6237	168	133	1.232893e+00	1.232893e+00	NUM
ejpam-6237	168	134	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	135	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	136	0.4000000000	0.4000000000	NUM
ejpam-6237	168	137	9.000000e-08	9.000000e-08	NUM
ejpam-6237	168	138	1.618962e+00	1.618962e+00	NUM
ejpam-6237	168	139	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	140	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	141	0.5000000000	0.5000000000	NUM
ejpam-6237	168	142	1.000000e-07	1.000000e-07	NUM
ejpam-6237	168	143	1.992897e+00	1.992897e+00	NUM
ejpam-6237	168	144	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	145	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	146	0.6000000000	0.6000000000	NUM
ejpam-6237	168	147	1.100000e-07	1.100000e-07	NUM
ejpam-6237	168	148	2.354883e+00	2.354883e+00	NUM
ejpam-6237	168	149	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	150	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	151	0.7000000000	0.7000000000	NUM
ejpam-6237	168	152	1.500000e-07	1.500000e-07	NUM
ejpam-6237	168	153	2.705101e+00	2.705101e+00	NUM
ejpam-6237	168	154	9.000000e-08	9.000000e-08	NUM
ejpam-6237	168	155	9.000000e-08	9.000000e-08	NUM
ejpam-6237	168	156	0.8000000000	0.8000000000	NUM
ejpam-6237	168	157	1.100000e-07	1.100000e-07	NUM
ejpam-6237	168	158	3.043731e+00	3.043731e+00	NUM
ejpam-6237	168	159	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	160	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	161	0.9000000000	0.9000000000	NUM
ejpam-6237	168	162	1.100000e-07	1.100000e-07	NUM
ejpam-6237	168	163	3.370949e+00	3.370949e+00	NUM
ejpam-6237	168	164	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	165	4.000000e-08	4.000000e-08	NUM
ejpam-6237	168	166	1.0000000000	1.0000000000	NUM
ejpam-6237	168	167	1.400000e-07	1.400000e-07	NUM
ejpam-6237	168	168	3.686929e+00	3.686929e+00	NUM
ejpam-6237	168	169	6.000000e-08	6.000000e-08	NUM
ejpam-6237	168	170	5.000000e-08	5.000000e-08	NUM
ejpam-6237	168	171	run	run	NOUN
ejpam-6237	168	172	time	time	NOUN
ejpam-6237	168	173	0.143	0.143	NUM
ejpam-6237	168	174	0.158	0.158	NUM
ejpam-6237	168	175	0.286	0.286	NUM
ejpam-6237	168	176	0.276	0.276	NUM
ejpam-6237	168	177	well	well	NOUN
ejpam-6237	168	178	at	at	ADP
ejpam-6237	168	179	finer	fine	ADJ
ejpam-6237	168	180	step	step	NOUN
ejpam-6237	168	181	sizes	size	NOUN
ejpam-6237	168	182	.	.	PUNCT
ejpam-6237	169	1	at	at	ADP
ejpam-6237	169	2	h	h	NOUN
ejpam-6237	169	3	=	=	NOUN
ejpam-6237	169	4	0.1	0.1	NUM
ejpam-6237	169	5	,	,	PUNCT
ejpam-6237	169	6	hhm	hhm	PROPN
ejpam-6237	169	7	yields	yield	NOUN
ejpam-6237	169	8	significantly	significantly	ADV
ejpam-6237	169	9	larger	large	ADJ
ejpam-6237	169	10	errors	error	NOUN
ejpam-6237	169	11	compared	compare	VERB
ejpam-6237	169	12	to	to	ADP
ejpam-6237	169	13	the	the	DET
ejpam-6237	169	14	other	other	ADJ
ejpam-6237	169	15	methods	method	NOUN
ejpam-6237	169	16	,	,	PUNCT
ejpam-6237	169	17	indicating	indicate	VERB
ejpam-6237	169	18	potential	potential	ADJ
ejpam-6237	169	19	stability	stability	NOUN
ejpam-6237	169	20	issues	issue	NOUN
ejpam-6237	169	21	or	or	CCONJ
ejpam-6237	169	22	higher	high	ADJ
ejpam-6237	169	23	local	local	ADJ
ejpam-6237	169	24	errors	error	NOUN
ejpam-6237	169	25	.	.	PUNCT
ejpam-6237	170	1	on	on	ADP
ejpam-6237	170	2	the	the	DET
ejpam-6237	170	3	other	other	ADJ
ejpam-6237	170	4	hand	hand	NOUN
ejpam-6237	170	5	,	,	PUNCT
ejpam-6237	170	6	cam	cam	NOUN
ejpam-6237	170	7	and	and	CCONJ
ejpam-6237	170	8	cch	cch	PROPN
ejpam-6237	170	9	show	show	VERB
ejpam-6237	170	10	better	well	ADJ
ejpam-6237	170	11	accuracy	accuracy	NOUN
ejpam-6237	170	12	,	,	PUNCT
ejpam-6237	170	13	with	with	ADP
ejpam-6237	170	14	cch	cch	PROPN
ejpam-6237	170	15	generally	generally	ADV
ejpam-6237	170	16	outperforming	outperform	VERB
ejpam-6237	170	17	the	the	DET
ejpam-6237	170	18	others	other	NOUN
ejpam-6237	170	19	at	at	ADP
ejpam-6237	170	20	most	most	ADJ
ejpam-6237	170	21	points	point	NOUN
ejpam-6237	170	22	.	.	PUNCT
ejpam-6237	171	1	as	as	SCONJ
ejpam-6237	171	2	the	the	DET
ejpam-6237	171	3	step	step	NOUN
ejpam-6237	171	4	size	size	NOUN
ejpam-6237	171	5	is	be	AUX
ejpam-6237	171	6	reduced	reduce	VERB
ejpam-6237	171	7	to	to	ADP
ejpam-6237	171	8	h	h	NOUN
ejpam-6237	171	9	=	=	NOUN
ejpam-6237	171	10	0.01	0.01	NUM
ejpam-6237	171	11	,	,	PUNCT
ejpam-6237	171	12	the	the	DET
ejpam-6237	171	13	errors	error	NOUN
ejpam-6237	171	14	of	of	ADP
ejpam-6237	171	15	all	all	DET
ejpam-6237	171	16	methods	method	NOUN
ejpam-6237	171	17	drop	drop	VERB
ejpam-6237	171	18	considerably	considerably	ADV
ejpam-6237	171	19	,	,	PUNCT
ejpam-6237	171	20	with	with	ADP
ejpam-6237	171	21	cam	cam	NOUN
ejpam-6237	171	22	and	and	CCONJ
ejpam-6237	171	23	cch	cch	PROPN
ejpam-6237	171	24	again	again	ADV
ejpam-6237	171	25	providing	provide	VERB
ejpam-6237	171	26	the	the	DET
ejpam-6237	171	27	most	most	ADV
ejpam-6237	171	28	accurate	accurate	ADJ
ejpam-6237	171	29	approximations	approximation	NOUN
ejpam-6237	171	30	.	.	PUNCT
ejpam-6237	172	1	at	at	ADP
ejpam-6237	172	2	h	h	NOUN
ejpam-6237	172	3	=	=	NOUN
ejpam-6237	172	4	0.001	0.001	NUM
ejpam-6237	172	5	,	,	PUNCT
ejpam-6237	172	6	the	the	DET
ejpam-6237	172	7	differences	difference	NOUN
ejpam-6237	172	8	between	between	ADP
ejpam-6237	172	9	methods	method	NOUN
ejpam-6237	172	10	become	become	VERB
ejpam-6237	172	11	less	less	ADV
ejpam-6237	172	12	significant	significant	ADJ
ejpam-6237	172	13	,	,	PUNCT
ejpam-6237	172	14	but	but	CCONJ
ejpam-6237	172	15	cch	cch	NOUN
ejpam-6237	172	16	maintains	maintain	VERB
ejpam-6237	172	17	a	a	DET
ejpam-6237	172	18	slight	slight	ADJ
ejpam-6237	172	19	edge	edge	NOUN
ejpam-6237	172	20	,	,	PUNCT
ejpam-6237	172	21	followed	follow	VERB
ejpam-6237	172	22	closely	closely	ADV
ejpam-6237	172	23	by	by	ADP
ejpam-6237	172	24	cam	cam	PROPN
ejpam-6237	172	25	.	.	PUNCT
ejpam-6237	173	1	hm	hm	PROPN
ejpam-6237	173	2	also	also	ADV
ejpam-6237	173	3	performs	perform	VERB
ejpam-6237	173	4	reasonably	reasonably	ADV
ejpam-6237	173	5	well	well	ADV
ejpam-6237	173	6	,	,	PUNCT
ejpam-6237	173	7	but	but	CCONJ
ejpam-6237	173	8	hhm	hhm	PROPN
ejpam-6237	173	9	continues	continue	VERB
ejpam-6237	173	10	to	to	PART
ejpam-6237	173	11	trail	trail	VERB
ejpam-6237	173	12	in	in	ADP
ejpam-6237	173	13	terms	term	NOUN
ejpam-6237	173	14	of	of	ADP
ejpam-6237	173	15	accuracy	accuracy	NOUN
ejpam-6237	173	16	.	.	PUNCT
ejpam-6237	174	1	in	in	ADP
ejpam-6237	174	2	contrast	contrast	NOUN
ejpam-6237	174	3	,	,	PUNCT
ejpam-6237	174	4	example	example	NOUN
ejpam-6237	174	5	2	2	NUM
ejpam-6237	174	6	appears	appear	VERB
ejpam-6237	174	7	to	to	PART
ejpam-6237	174	8	be	be	AUX
ejpam-6237	174	9	more	more	ADV
ejpam-6237	174	10	challenging	challenging	ADJ
ejpam-6237	174	11	,	,	PUNCT
ejpam-6237	174	12	as	as	SCONJ
ejpam-6237	174	13	evidenced	evidence	VERB
ejpam-6237	174	14	by	by	ADP
ejpam-6237	174	15	the	the	DET
ejpam-6237	174	16	much	much	ADV
ejpam-6237	174	17	larger	large	ADJ
ejpam-6237	174	18	errors	error	NOUN
ejpam-6237	174	19	observed	observe	VERB
ejpam-6237	174	20	for	for	ADP
ejpam-6237	174	21	h	h	NOUN
ejpam-6237	174	22	=	=	NOUN
ejpam-6237	174	23	0.1	0.1	NUM
ejpam-6237	174	24	.	.	PUNCT
ejpam-6237	175	1	in	in	ADP
ejpam-6237	175	2	particular	particular	ADJ
ejpam-6237	175	3	,	,	PUNCT
ejpam-6237	175	4	hhm	hhm	PROPN
ejpam-6237	175	5	and	and	CCONJ
ejpam-6237	175	6	cam	cam	VERB
ejpam-6237	175	7	produce	produce	VERB
ejpam-6237	175	8	extremely	extremely	ADV
ejpam-6237	175	9	large	large	ADJ
ejpam-6237	175	10	errors	error	NOUN
ejpam-6237	175	11	(	(	PUNCT
ejpam-6237	175	12	up	up	ADP
ejpam-6237	175	13	to	to	ADP
ejpam-6237	175	14	1018	1018	NUM
ejpam-6237	175	15	)	)	PUNCT
ejpam-6237	175	16	,	,	PUNCT
ejpam-6237	175	17	suggesting	suggest	VERB
ejpam-6237	175	18	that	that	SCONJ
ejpam-6237	175	19	they	they	PRON
ejpam-6237	175	20	are	be	AUX
ejpam-6237	175	21	unstable	unstable	ADJ
ejpam-6237	175	22	or	or	CCONJ
ejpam-6237	175	23	diverge	diverge	VERB
ejpam-6237	175	24	for	for	ADP
ejpam-6237	175	25	this	this	DET
ejpam-6237	175	26	problem	problem	NOUN
ejpam-6237	175	27	at	at	ADP
ejpam-6237	175	28	large	large	ADJ
ejpam-6237	175	29	step	step	NOUN
ejpam-6237	175	30	sizes	size	NOUN
ejpam-6237	175	31	.	.	PUNCT
ejpam-6237	176	1	hm	hm	INTJ
ejpam-6237	176	2	also	also	ADV
ejpam-6237	176	3	shows	show	VERB
ejpam-6237	176	4	very	very	ADV
ejpam-6237	176	5	large	large	ADJ
ejpam-6237	176	6	errors	error	NOUN
ejpam-6237	176	7	,	,	PUNCT
ejpam-6237	176	8	though	though	SCONJ
ejpam-6237	176	9	slightly	slightly	ADV
ejpam-6237	176	10	lower	low	ADJ
ejpam-6237	176	11	than	than	ADP
ejpam-6237	176	12	hhm	hhm	PROPN
ejpam-6237	176	13	and	and	CCONJ
ejpam-6237	176	14	cam	cam	PROPN
ejpam-6237	176	15	.	.	PUNCT
ejpam-6237	177	1	syamsudhuha	syamsudhuha	PROPN
ejpam-6237	177	2	et	et	PROPN
ejpam-6237	177	3	al	al	PROPN
ejpam-6237	177	4	.	.	PUNCT
ejpam-6237	177	5	/	/	SYM
ejpam-6237	177	6	eur	eur	PROPN
ejpam-6237	177	7	.	.	PUNCT
ejpam-6237	178	1	j.	j.	PROPN
ejpam-6237	178	2	pure	pure	PROPN
ejpam-6237	178	3	appl	appl	PROPN
ejpam-6237	178	4	.	.	PROPN
ejpam-6237	178	5	math	math	PROPN
ejpam-6237	178	6	,	,	PUNCT
ejpam-6237	178	7	18	18	NUM
ejpam-6237	178	8	(	(	PUNCT
ejpam-6237	178	9	3	3	NUM
ejpam-6237	178	10	)	)	PUNCT
ejpam-6237	178	11	(	(	PUNCT
ejpam-6237	178	12	2025	2025	NUM
ejpam-6237	178	13	)	)	PUNCT
ejpam-6237	178	14	,	,	PUNCT
ejpam-6237	178	15	6237	6237	NUM
ejpam-6237	178	16	11	11	NUM
ejpam-6237	178	17	of	of	ADP
ejpam-6237	178	18	15	15	NUM
ejpam-6237	178	19	table	table	NOUN
ejpam-6237	178	20	4	4	NUM
ejpam-6237	178	21	:	:	PUNCT
ejpam-6237	178	22	error	error	NOUN
ejpam-6237	178	23	and	and	CCONJ
ejpam-6237	178	24	run	run	VERB
ejpam-6237	178	25	time	time	NOUN
ejpam-6237	178	26	comparison	comparison	NOUN
ejpam-6237	178	27	of	of	ADP
ejpam-6237	178	28	hm	hm	INTJ
ejpam-6237	178	29	,	,	PUNCT
ejpam-6237	178	30	hhm	hhm	PROPN
ejpam-6237	178	31	,	,	PUNCT
ejpam-6237	178	32	cam	cam	NOUN
ejpam-6237	178	33	and	and	CCONJ
ejpam-6237	178	34	cch	cch	PROPN
ejpam-6237	178	35	for	for	ADP
ejpam-6237	178	36	example	example	NOUN
ejpam-6237	178	37	3	3	NUM
ejpam-6237	178	38	with	with	ADP
ejpam-6237	178	39	α	α	NOUN
ejpam-6237	178	40	=	=	SYM
ejpam-6237	178	41	2	2	NUM
ejpam-6237	178	42	h	h	NOUN
ejpam-6237	178	43	x(i	x(i	PROPN
ejpam-6237	178	44	)	)	PUNCT
ejpam-6237	179	1	hm	hm	INTJ
ejpam-6237	179	2	hhm	hhm	PROPN
ejpam-6237	179	3	cam	cam	PROPN
ejpam-6237	179	4	cch	cch	PROPN
ejpam-6237	179	5	h	h	NOUN
ejpam-6237	180	1	=	=	NOUN
ejpam-6237	180	2	0.1	0.1	NUM
ejpam-6237	180	3	0.1000000000	0.1000000000	NUM
ejpam-6237	180	4	6.888063e+00	6.888063e+00	NUM
ejpam-6237	180	5	3.066158e+00	3.066158e+00	NUM
ejpam-6237	181	1	6.935901e+00	6.935901e+00	NUM
ejpam-6237	181	2	6.951847e+00	6.951847e+00	NUM
ejpam-6237	181	3	0.2000000000	0.2000000000	NUM
ejpam-6237	181	4	1.239813e+01	1.239813e+01	NUM
ejpam-6237	181	5	5.791583e+00	5.791583e+00	NUM
ejpam-6237	181	6	1.247666e+01	1.247666e+01	NUM
ejpam-6237	181	7	1.250281e+01	1.250281e+01	NUM
ejpam-6237	181	8	0.3000000000	0.3000000000	NUM
ejpam-6237	181	9	1.677933e+01	1.677933e+01	NUM
ejpam-6237	181	10	8.207803e+00	8.207803e+00	NUM
ejpam-6237	181	11	1.687604e+01	1.687604e+01	NUM
ejpam-6237	181	12	1.690822e+01	1.690822e+01	NUM
ejpam-6237	181	13	0.4000000000	0.4000000000	NUM
ejpam-6237	182	1	2.023592e+01	2.023592e+01	NUM
ejpam-6237	182	2	1.034347e+01	1.034347e+01	NUM
ejpam-6237	182	3	2.034184e+01	2.034184e+01	NUM
ejpam-6237	183	1	2.037705e+01	2.037705e+01	NUM
ejpam-6237	183	2	0.5000000000	0.5000000000	NUM
ejpam-6237	183	3	2.293539e+01	2.293539e+01	NUM
ejpam-6237	183	4	1.222460e+01	1.222460e+01	NUM
ejpam-6237	183	5	2.304420e+01	2.304420e+01	NUM
ejpam-6237	183	6	2.308034e+01	2.308034e+01	NUM
ejpam-6237	183	7	0.6000000000	0.6000000000	NUM
ejpam-6237	183	8	2.501505e+01	2.501505e+01	NUM
ejpam-6237	183	9	1.387487e+01	1.387487e+01	PROPN
ejpam-6237	183	10	2.512243e+01	2.512243e+01	NUM
ejpam-6237	184	1	2.515807e+01	2.515807e+01	NUM
ejpam-6237	184	2	0.7000000000	0.7000000000	NUM
ejpam-6237	184	3	2.658749e+01	2.658749e+01	NUM
ejpam-6237	184	4	1.531574e+01	1.531574e+01	NUM
ejpam-6237	184	5	2.669060e+01	2.669060e+01	NUM
ejpam-6237	184	6	2.672478e+01	2.672478e+01	NUM
ejpam-6237	185	1	0.8000000000	0.8000000000	NUM
ejpam-6237	185	2	2.774501e+01	2.774501e+01	NUM
ejpam-6237	185	3	1.656676e+01	1.656676e+01	NUM
ejpam-6237	185	4	2.784209e+01	2.784209e+01	NUM
ejpam-6237	185	5	2.787425e+01	2.787425e+01	NUM
ejpam-6237	185	6	0.9000000000	0.9000000000	NUM
ejpam-6237	185	7	2.856330e+01	2.856330e+01	NUM
ejpam-6237	185	8	1.764565e+01	1.764565e+01	NUM
ejpam-6237	185	9	2.865339e+01	2.865339e+01	NUM
ejpam-6237	185	10	2.868320e+01	2.868320e+01	NUM
ejpam-6237	185	11	1.0000000000	1.0000000000	NUM
ejpam-6237	185	12	2.910440e+01	2.910440e+01	NUM
ejpam-6237	185	13	1.856855e+01	1.856855e+01	ADJ
ejpam-6237	185	14	2.918709e+01	2.918709e+01	NUM
ejpam-6237	185	15	2.921444e+01	2.921444e+01	PROPN
ejpam-6237	185	16	run	run	NOUN
ejpam-6237	185	17	time	time	NOUN
ejpam-6237	185	18	0.001	0.001	NUM
ejpam-6237	185	19	0.001	0.001	NUM
ejpam-6237	185	20	0.004	0.004	NUM
ejpam-6237	185	21	0.004	0.004	NUM
ejpam-6237	185	22	h	h	NOUN
ejpam-6237	185	23	=	=	NOUN
ejpam-6237	185	24	0.01	0.01	NUM
ejpam-6237	185	25	0.1000000000	0.1000000000	NUM
ejpam-6237	185	26	6.942350e+00	6.942350e+00	NUM
ejpam-6237	185	27	3.221079e+00	3.221079e+00	NUM
ejpam-6237	185	28	6.942713e+00	6.942713e+00	NUM
ejpam-6237	186	1	6.942834e+00	6.942834e+00	NUM
ejpam-6237	186	2	0.2000000000	0.2000000000	NUM
ejpam-6237	186	3	1.248718e+01	1.248718e+01	NUM
ejpam-6237	186	4	6.072520e+00	6.072520e+00	NUM
ejpam-6237	186	5	1.248778e+01	1.248778e+01	NUM
ejpam-6237	186	6	1.248798e+01	1.248798e+01	NUM
ejpam-6237	186	7	0.3000000000	0.3000000000	NUM
ejpam-6237	186	8	1.688891e+01	1.688891e+01	NUM
ejpam-6237	186	9	8.589842e+00	8.589842e+00	NUM
ejpam-6237	186	10	1.688964e+01	1.688964e+01	NUM
ejpam-6237	186	11	1.688989e+01	1.688989e+01	NUM
ejpam-6237	187	1	0.4000000000	0.4000000000	NUM
ejpam-6237	188	1	2.035580e+01	2.035580e+01	NUM
ejpam-6237	189	1	1.080519e+01	1.080519e+01	NUM
ejpam-6237	189	2	2.035660e+01	2.035660e+01	NUM
ejpam-6237	189	3	2.035687e+01	2.035687e+01	NUM
ejpam-6237	189	4	0.5000000000	0.5000000000	NUM
ejpam-6237	189	5	2.305836e+01	2.305836e+01	NUM
ejpam-6237	189	6	1.274766e+01	1.274766e+01	NUM
ejpam-6237	189	7	2.305918e+01	2.305918e+01	NUM
ejpam-6237	189	8	2.305946e+01	2.305946e+01	NUM
ejpam-6237	189	9	0.6000000000	0.6000000000	NUM
ejpam-6237	189	10	2.513618e+01	2.513618e+01	NUM
ejpam-6237	189	11	1.444357e+01	1.444357e+01	NUM
ejpam-6237	189	12	2.513699e+01	2.513699e+01	NUM
ejpam-6237	189	13	2.513726e+01	2.513726e+01	NUM
ejpam-6237	189	14	0.7000000000	0.7000000000	NUM
ejpam-6237	189	15	2.670352e+01	2.670352e+01	NUM
ejpam-6237	189	16	1.591676e+01	1.591676e+01	NUM
ejpam-6237	189	17	2.670430e+01	2.670430e+01	NUM
ejpam-6237	190	1	2.670456e+01	2.670456e+01	NUM
ejpam-6237	190	2	0.8000000000	0.8000000000	NUM
ejpam-6237	190	3	2.785392e+01	2.785392e+01	NUM
ejpam-6237	191	1	1.718879e+01	1.718879e+01	NUM
ejpam-6237	191	2	2.785466e+01	2.785466e+01	NUM
ejpam-6237	192	1	2.785490e+01	2.785490e+01	NUM
ejpam-6237	192	2	0.9000000000	0.9000000000	NUM
ejpam-6237	192	3	2.866397e+01	2.866397e+01	NUM
ejpam-6237	192	4	1.827918e+01	1.827918e+01	NUM
ejpam-6237	192	5	2.866465e+01	2.866465e+01	NUM
ejpam-6237	192	6	2.866488e+01	2.866488e+01	NUM
ejpam-6237	192	7	1.0000000000	1.0000000000	NUM
ejpam-6237	192	8	2.919634e+01	2.919634e+01	NUM
ejpam-6237	192	9	1.920560e+01	1.920560e+01	NUM
ejpam-6237	192	10	2.919697e+01	2.919697e+01	NUM
ejpam-6237	192	11	2.919717e+01	2.919717e+01	NUM
ejpam-6237	192	12	run	run	VERB
ejpam-6237	192	13	time	time	NOUN
ejpam-6237	192	14	0.007	0.007	NUM
ejpam-6237	192	15	0.007	0.007	NUM
ejpam-6237	192	16	0.022	0.022	NUM
ejpam-6237	192	17	0.021	0.021	NUM
ejpam-6237	192	18	h	h	NOUN
ejpam-6237	193	1	=	=	NOUN
ejpam-6237	193	2	0.001	0.001	NUM
ejpam-6237	193	3	0.1000000000	0.1000000000	NUM
ejpam-6237	193	4	6.942824e+00	6.942824e+00	NUM
ejpam-6237	193	5	3.238457e+00	3.238457e+00	NUM
ejpam-6237	193	6	6.942827e+00	6.942827e+00	NUM
ejpam-6237	193	7	6.942828e+00	6.942828e+00	NUM
ejpam-6237	193	8	0.2000000000	0.2000000000	NUM
ejpam-6237	193	9	1.248796e+01	1.248796e+01	NUM
ejpam-6237	193	10	6.103972e+00	6.103972e+00	NUM
ejpam-6237	193	11	1.248797e+01	1.248797e+01	PROPN
ejpam-6237	193	12	1.248797e+01	1.248797e+01	NUM
ejpam-6237	193	13	0.3000000000	0.3000000000	NUM
ejpam-6237	193	14	1.688986e+01	1.688986e+01	NUM
ejpam-6237	193	15	8.632531e+00	8.632531e+00	NUM
ejpam-6237	193	16	1.688987e+01	1.688987e+01	NUM
ejpam-6237	193	17	1.688987e+01	1.688987e+01	NUM
ejpam-6237	193	18	0.4000000000	0.4000000000	NUM
ejpam-6237	193	19	2.035684e+01	2.035684e+01	NUM
ejpam-6237	194	1	1.085669e+01	1.085669e+01	NUM
ejpam-6237	194	2	2.035685e+01	2.035685e+01	NUM
ejpam-6237	194	3	2.035685e+01	2.035685e+01	NUM
ejpam-6237	194	4	0.5000000000	0.5000000000	NUM
ejpam-6237	194	5	2.305943e+01	2.305943e+01	NUM
ejpam-6237	194	6	1.280589e+01	1.280589e+01	NUM
ejpam-6237	194	7	2.305944e+01	2.305944e+01	NUM
ejpam-6237	194	8	2.305944e+01	2.305944e+01	NUM
ejpam-6237	194	9	0.6000000000	0.6000000000	NUM
ejpam-6237	194	10	2.513723e+01	2.513723e+01	NUM
ejpam-6237	194	11	1.450677e+01	1.450677e+01	NUM
ejpam-6237	194	12	2.513724e+01	2.513724e+01	NUM
ejpam-6237	194	13	2.513724e+01	2.513724e+01	NUM
ejpam-6237	194	14	0.7000000000	0.7000000000	NUM
ejpam-6237	194	15	2.670453e+01	2.670453e+01	NUM
ejpam-6237	194	16	1.598344e+01	1.598344e+01	NUM
ejpam-6237	194	17	2.670453e+01	2.670453e+01	NUM
ejpam-6237	194	18	2.670454e+01	2.670454e+01	NUM
ejpam-6237	194	19	0.8000000000	0.8000000000	NUM
ejpam-6237	194	20	2.785487e+01	2.785487e+01	NUM
ejpam-6237	194	21	1.725768e+01	1.725768e+01	NUM
ejpam-6237	194	22	2.785488e+01	2.785488e+01	NUM
ejpam-6237	194	23	2.785488e+01	2.785488e+01	NUM
ejpam-6237	194	24	0.9000000000	0.9000000000	NUM
ejpam-6237	194	25	2.866484e+01	2.866484e+01	NUM
ejpam-6237	194	26	1.834924e+01	1.834924e+01	NUM
ejpam-6237	194	27	2.866485e+01	2.866485e+01	NUM
ejpam-6237	194	28	2.866485e+01	2.866485e+01	NUM
ejpam-6237	194	29	1.0000000000	1.0000000000	NUM
ejpam-6237	194	30	2.919714e+01	2.919714e+01	NUM
ejpam-6237	194	31	1.927593e+01	1.927593e+01	NUM
ejpam-6237	194	32	2.919715e+01	2.919715e+01	NUM
ejpam-6237	194	33	2.919715e+01	2.919715e+01	NUM
ejpam-6237	194	34	run	run	VERB
ejpam-6237	194	35	time	time	NOUN
ejpam-6237	194	36	0.062	0.062	NUM
ejpam-6237	194	37	0.138	0.138	NUM
ejpam-6237	194	38	0.278	0.278	NUM
ejpam-6237	194	39	0.284	0.284	NUM
ejpam-6237	194	40	interestingly	interestingly	ADV
ejpam-6237	194	41	,	,	PUNCT
ejpam-6237	194	42	cch	cch	X
ejpam-6237	194	43	performs	perform	VERB
ejpam-6237	194	44	better	well	ADJ
ejpam-6237	194	45	than	than	ADP
ejpam-6237	194	46	the	the	DET
ejpam-6237	194	47	other	other	ADJ
ejpam-6237	194	48	methods	method	NOUN
ejpam-6237	194	49	in	in	ADP
ejpam-6237	194	50	this	this	DET
ejpam-6237	194	51	case	case	NOUN
ejpam-6237	194	52	,	,	PUNCT
ejpam-6237	194	53	suggesting	suggest	VERB
ejpam-6237	194	54	that	that	SCONJ
ejpam-6237	194	55	it	it	PRON
ejpam-6237	194	56	has	have	VERB
ejpam-6237	194	57	superior	superior	ADJ
ejpam-6237	194	58	stability	stability	NOUN
ejpam-6237	194	59	characteristics	characteristic	NOUN
ejpam-6237	194	60	under	under	ADP
ejpam-6237	194	61	these	these	DET
ejpam-6237	194	62	conditions	condition	NOUN
ejpam-6237	194	63	.	.	PUNCT
ejpam-6237	195	1	as	as	SCONJ
ejpam-6237	195	2	the	the	DET
ejpam-6237	195	3	step	step	NOUN
ejpam-6237	195	4	size	size	NOUN
ejpam-6237	195	5	is	be	AUX
ejpam-6237	195	6	reduced	reduce	VERB
ejpam-6237	195	7	to	to	ADP
ejpam-6237	195	8	h	h	NOUN
ejpam-6237	195	9	=	=	NOUN
ejpam-6237	195	10	0.01	0.01	NUM
ejpam-6237	195	11	,	,	PUNCT
ejpam-6237	195	12	the	the	DET
ejpam-6237	195	13	errors	error	NOUN
ejpam-6237	195	14	become	become	VERB
ejpam-6237	195	15	much	much	ADV
ejpam-6237	195	16	more	more	ADV
ejpam-6237	195	17	manageable	manageable	ADJ
ejpam-6237	195	18	.	.	PUNCT
ejpam-6237	196	1	cam	cam	VERB
ejpam-6237	196	2	and	and	CCONJ
ejpam-6237	196	3	cch	cch	PROPN
ejpam-6237	196	4	once	once	ADV
ejpam-6237	196	5	reduced	reduce	VERB
ejpam-6237	196	6	to	to	ADP
ejpam-6237	196	7	h	h	NOUN
ejpam-6237	196	8	=	=	NOUN
ejpam-6237	196	9	0.01	0.01	NUM
ejpam-6237	196	10	,	,	PUNCT
ejpam-6237	196	11	the	the	DET
ejpam-6237	196	12	errors	error	NOUN
ejpam-6237	196	13	become	become	VERB
ejpam-6237	196	14	much	much	ADV
ejpam-6237	196	15	more	more	ADV
ejpam-6237	196	16	manageable	manageable	ADJ
ejpam-6237	196	17	.	.	PUNCT
ejpam-6237	197	1	cam	cam	VERB
ejpam-6237	197	2	and	and	CCONJ
ejpam-6237	197	3	cch	cch	PROPN
ejpam-6237	197	4	once	once	ADV
ejpam-6237	197	5	again	again	ADV
ejpam-6237	197	6	emerge	emerge	VERB
ejpam-6237	197	7	as	as	ADP
ejpam-6237	197	8	the	the	DET
ejpam-6237	197	9	most	most	ADV
ejpam-6237	197	10	accurate	accurate	ADJ
ejpam-6237	197	11	methods	method	NOUN
ejpam-6237	197	12	,	,	PUNCT
ejpam-6237	197	13	while	while	SCONJ
ejpam-6237	197	14	hhm	hhm	PROPN
ejpam-6237	197	15	shows	show	VERB
ejpam-6237	197	16	improvement	improvement	NOUN
ejpam-6237	197	17	but	but	CCONJ
ejpam-6237	197	18	still	still	ADV
ejpam-6237	197	19	lags	lag	VERB
ejpam-6237	197	20	behind	behind	ADV
ejpam-6237	197	21	.	.	PUNCT
ejpam-6237	198	1	finally	finally	ADV
ejpam-6237	198	2	,	,	PUNCT
ejpam-6237	198	3	at	at	ADP
ejpam-6237	198	4	h	h	NOUN
ejpam-6237	198	5	=	=	NOUN
ejpam-6237	198	6	0.001	0.001	NUM
ejpam-6237	198	7	,	,	PUNCT
ejpam-6237	198	8	all	all	DET
ejpam-6237	198	9	methods	method	NOUN
ejpam-6237	198	10	provide	provide	VERB
ejpam-6237	198	11	highly	highly	ADV
ejpam-6237	198	12	accurate	accurate	ADJ
ejpam-6237	198	13	results	result	NOUN
ejpam-6237	198	14	.	.	PUNCT
ejpam-6237	199	1	cch	cch	NOUN
ejpam-6237	199	2	consistently	consistently	ADV
ejpam-6237	199	3	delivers	deliver	VERB
ejpam-6237	199	4	the	the	DET
ejpam-6237	199	5	lowest	low	ADJ
ejpam-6237	199	6	errors	error	NOUN
ejpam-6237	199	7	across	across	ADP
ejpam-6237	199	8	the	the	DET
ejpam-6237	199	9	board	board	NOUN
ejpam-6237	199	10	,	,	PUNCT
ejpam-6237	199	11	and	and	CCONJ
ejpam-6237	199	12	cam	cam	AUX
ejpam-6237	199	13	closely	closely	ADV
ejpam-6237	199	14	follows	follow	VERB
ejpam-6237	199	15	.	.	PUNCT
ejpam-6237	200	1	hm	hm	INTJ
ejpam-6237	200	2	performs	perform	VERB
ejpam-6237	200	3	adequately	adequately	ADV
ejpam-6237	200	4	,	,	PUNCT
ejpam-6237	200	5	while	while	SCONJ
ejpam-6237	200	6	hhm	hhm	PROPN
ejpam-6237	200	7	,	,	PUNCT
ejpam-6237	200	8	although	although	SCONJ
ejpam-6237	200	9	better	well	ADJ
ejpam-6237	200	10	than	than	ADP
ejpam-6237	200	11	at	at	ADP
ejpam-6237	200	12	larger	large	ADJ
ejpam-6237	200	13	step	step	NOUN
ejpam-6237	200	14	sizes	size	NOUN
ejpam-6237	200	15	,	,	PUNCT
ejpam-6237	200	16	still	still	ADV
ejpam-6237	200	17	does	do	AUX
ejpam-6237	200	18	not	not	PART
ejpam-6237	200	19	match	match	VERB
ejpam-6237	200	20	the	the	DET
ejpam-6237	200	21	accuracy	accuracy	NOUN
ejpam-6237	200	22	of	of	ADP
ejpam-6237	200	23	the	the	DET
ejpam-6237	200	24	other	other	ADJ
ejpam-6237	200	25	methods	method	NOUN
ejpam-6237	200	26	.	.	PUNCT
ejpam-6237	201	1	example	example	NOUN
ejpam-6237	201	2	3	3	NUM
ejpam-6237	201	3	describes	describe	VERB
ejpam-6237	201	4	heat	heat	NOUN
ejpam-6237	201	5	transfer	transfer	NOUN
ejpam-6237	201	6	within	within	ADP
ejpam-6237	201	7	an	an	DET
ejpam-6237	201	8	insulated	insulated	ADJ
ejpam-6237	201	9	box	box	NOUN
ejpam-6237	201	10	governed	govern	VERB
ejpam-6237	201	11	by	by	ADP
ejpam-6237	201	12	newton	newton	PROPN
ejpam-6237	201	13	’s	’s	PART
ejpam-6237	201	14	law	law	NOUN
ejpam-6237	201	15	of	of	ADP
ejpam-6237	201	16	cooling	cool	VERB
ejpam-6237	201	17	where	where	SCONJ
ejpam-6237	201	18	the	the	DET
ejpam-6237	201	19	internal	internal	ADJ
ejpam-6237	201	20	temperature	temperature	NOUN
ejpam-6237	201	21	y(t	y(t	NOUN
ejpam-6237	201	22	)	)	PUNCT
ejpam-6237	201	23	changes	change	NOUN
ejpam-6237	201	24	in	in	ADP
ejpam-6237	201	25	response	response	NOUN
ejpam-6237	201	26	to	to	ADP
ejpam-6237	201	27	the	the	DET
ejpam-6237	201	28	difference	difference	NOUN
ejpam-6237	201	29	between	between	ADP
ejpam-6237	201	30	the	the	DET
ejpam-6237	201	31	internal	internal	ADJ
ejpam-6237	201	32	temperature	temperature	NOUN
ejpam-6237	201	33	and	and	CCONJ
ejpam-6237	201	34	a	a	DET
ejpam-6237	201	35	time	time	NOUN
ejpam-6237	201	36	-	-	PUNCT
ejpam-6237	201	37	dependent	dependent	ADJ
ejpam-6237	201	38	external	external	ADJ
ejpam-6237	201	39	temperature	temperature	NOUN
ejpam-6237	201	40	t	t	NOUN
ejpam-6237	201	41	(	(	PUNCT
ejpam-6237	201	42	t	t	PROPN
ejpam-6237	201	43	)	)	PUNCT
ejpam-6237	201	44	=	=	VERB
ejpam-6237	202	1	syamsudhuha	syamsudhuha	VERB
ejpam-6237	202	2	et	et	PROPN
ejpam-6237	202	3	al	al	PROPN
ejpam-6237	202	4	.	.	PUNCT
ejpam-6237	202	5	/	/	SYM
ejpam-6237	202	6	eur	eur	PROPN
ejpam-6237	202	7	.	.	PUNCT
ejpam-6237	203	1	j.	j.	PROPN
ejpam-6237	203	2	pure	pure	PROPN
ejpam-6237	203	3	appl	appl	PROPN
ejpam-6237	203	4	.	.	PROPN
ejpam-6237	203	5	math	math	PROPN
ejpam-6237	203	6	,	,	PUNCT
ejpam-6237	203	7	18	18	NUM
ejpam-6237	203	8	(	(	PUNCT
ejpam-6237	203	9	3	3	NUM
ejpam-6237	203	10	)	)	PUNCT
ejpam-6237	203	11	(	(	PUNCT
ejpam-6237	203	12	2025	2025	NUM
ejpam-6237	203	13	)	)	PUNCT
ejpam-6237	203	14	,	,	PUNCT
ejpam-6237	203	15	6237	6237	NUM
ejpam-6237	203	16	12	12	NUM
ejpam-6237	203	17	of	of	ADP
ejpam-6237	203	18	15	15	NUM
ejpam-6237	203	19	t0	t0	NOUN
ejpam-6237	203	20	+	+	CCONJ
ejpam-6237	203	21	t1	t1	VERB
ejpam-6237	203	22	cos(ωt	cos(ωt	NOUN
ejpam-6237	203	23	)	)	PUNCT
ejpam-6237	203	24	,	,	PUNCT
ejpam-6237	203	25	simulating	simulate	VERB
ejpam-6237	203	26	a	a	DET
ejpam-6237	203	27	daily	daily	ADJ
ejpam-6237	203	28	cycle	cycle	NOUN
ejpam-6237	203	29	with	with	ADP
ejpam-6237	203	30	(	(	PUNCT
ejpam-6237	203	31	ω	ω	PROPN
ejpam-6237	203	32	=	=	PROPN
ejpam-6237	203	33	π/12	π/12	PROPN
ejpam-6237	203	34	)	)	PUNCT
ejpam-6237	203	35	.	.	PUNCT
ejpam-6237	204	1	numerical	numerical	ADJ
ejpam-6237	204	2	results	result	NOUN
ejpam-6237	204	3	are	be	AUX
ejpam-6237	204	4	obtained	obtain	VERB
ejpam-6237	204	5	for	for	ADP
ejpam-6237	204	6	different	different	ADJ
ejpam-6237	204	7	step	step	NOUN
ejpam-6237	204	8	sizes	size	NOUN
ejpam-6237	204	9	h	h	NOUN
ejpam-6237	204	10	=	=	NOUN
ejpam-6237	204	11	0.1	0.1	NUM
ejpam-6237	204	12	,	,	PUNCT
ejpam-6237	204	13	h	h	NOUN
ejpam-6237	204	14	=	=	NOUN
ejpam-6237	204	15	0.01	0.01	NUM
ejpam-6237	204	16	,	,	PUNCT
ejpam-6237	204	17	and	and	CCONJ
ejpam-6237	204	18	h	h	NOUN
ejpam-6237	204	19	=	=	NOUN
ejpam-6237	204	20	0.001	0.001	NUM
ejpam-6237	204	21	,	,	PUNCT
ejpam-6237	204	22	assuming	assume	VERB
ejpam-6237	204	23	an	an	DET
ejpam-6237	204	24	initial	initial	ADJ
ejpam-6237	204	25	external	external	ADJ
ejpam-6237	204	26	temperature	temperature	NOUN
ejpam-6237	204	27	t	t	NOUN
ejpam-6237	204	28	(	(	PUNCT
ejpam-6237	204	29	0	0	NUM
ejpam-6237	204	30	)	)	PUNCT
ejpam-6237	204	31	=	=	SYM
ejpam-6237	204	32	32	32	NUM
ejpam-6237	204	33	◦	◦	NOUN
ejpam-6237	204	34	f	f	NOUN
ejpam-6237	204	35	.	.	PUNCT
ejpam-6237	205	1	the	the	DET
ejpam-6237	205	2	cooling	cool	VERB
ejpam-6237	205	3	coefficient	coefficient	NOUN
ejpam-6237	205	4	is	be	AUX
ejpam-6237	205	5	set	set	VERB
ejpam-6237	205	6	to	to	ADP
ejpam-6237	205	7	α	α	NOUN
ejpam-6237	205	8	=	=	NOUN
ejpam-6237	205	9	0.2	0.2	NUM
ejpam-6237	205	10	per	per	ADP
ejpam-6237	205	11	hour	hour	NOUN
ejpam-6237	205	12	,	,	PUNCT
ejpam-6237	205	13	introducing	introduce	VERB
ejpam-6237	205	14	moderate	moderate	ADJ
ejpam-6237	205	15	stiffness	stiffness	NOUN
ejpam-6237	205	16	as	as	SCONJ
ejpam-6237	205	17	the	the	DET
ejpam-6237	205	18	step	step	NOUN
ejpam-6237	205	19	size	size	NOUN
ejpam-6237	205	20	decreases	decrease	VERB
ejpam-6237	205	21	.	.	PUNCT
ejpam-6237	206	1	the	the	DET
ejpam-6237	206	2	resulting	result	VERB
ejpam-6237	206	3	errors	error	NOUN
ejpam-6237	206	4	from	from	ADP
ejpam-6237	206	5	each	each	DET
ejpam-6237	206	6	method	method	NOUN
ejpam-6237	206	7	indicate	indicate	VERB
ejpam-6237	206	8	their	their	PRON
ejpam-6237	206	9	effectiveness	effectiveness	NOUN
ejpam-6237	206	10	in	in	ADP
ejpam-6237	206	11	capturing	capture	VERB
ejpam-6237	206	12	the	the	DET
ejpam-6237	206	13	system	system	NOUN
ejpam-6237	206	14	’s	’s	PART
ejpam-6237	206	15	transient	transient	ADJ
ejpam-6237	206	16	thermal	thermal	ADJ
ejpam-6237	206	17	dynamics	dynamic	NOUN
ejpam-6237	206	18	under	under	ADP
ejpam-6237	206	19	periodic	periodic	ADJ
ejpam-6237	206	20	forcing	forcing	NOUN
ejpam-6237	206	21	.	.	PUNCT
ejpam-6237	207	1	at	at	ADP
ejpam-6237	207	2	the	the	DET
ejpam-6237	207	3	largest	large	ADJ
ejpam-6237	207	4	step	step	NOUN
ejpam-6237	207	5	size	size	NOUN
ejpam-6237	207	6	h	h	NOUN
ejpam-6237	207	7	=	=	NOUN
ejpam-6237	207	8	0.1	0.1	NUM
ejpam-6237	207	9	,	,	PUNCT
ejpam-6237	207	10	the	the	DET
ejpam-6237	207	11	errors	error	NOUN
ejpam-6237	207	12	for	for	ADP
ejpam-6237	207	13	the	the	DET
ejpam-6237	207	14	hhm	hhm	PROPN
ejpam-6237	207	15	method	method	NOUN
ejpam-6237	207	16	are	be	AUX
ejpam-6237	207	17	significantly	significantly	ADV
ejpam-6237	207	18	higher	high	ADJ
ejpam-6237	207	19	compared	compare	VERB
ejpam-6237	207	20	to	to	ADP
ejpam-6237	207	21	the	the	DET
ejpam-6237	207	22	other	other	ADJ
ejpam-6237	207	23	methods	method	NOUN
ejpam-6237	207	24	.	.	PUNCT
ejpam-6237	208	1	for	for	ADP
ejpam-6237	208	2	example	example	NOUN
ejpam-6237	208	3	,	,	PUNCT
ejpam-6237	208	4	at	at	ADP
ejpam-6237	208	5	t	t	NOUN
ejpam-6237	208	6	=	=	SYM
ejpam-6237	208	7	1	1	NUM
ejpam-6237	208	8	,	,	PUNCT
ejpam-6237	208	9	hhm	hhm	PROPN
ejpam-6237	208	10	produces	produce	VERB
ejpam-6237	208	11	an	an	DET
ejpam-6237	208	12	error	error	NOUN
ejpam-6237	208	13	of	of	ADP
ejpam-6237	208	14	approximately	approximately	ADV
ejpam-6237	208	15	3.76	3.76	NUM
ejpam-6237	208	16	,	,	PUNCT
ejpam-6237	208	17	while	while	SCONJ
ejpam-6237	208	18	cam	cam	NOUN
ejpam-6237	208	19	and	and	CCONJ
ejpam-6237	208	20	cch	cch	PROPN
ejpam-6237	208	21	yield	yield	NOUN
ejpam-6237	208	22	much	much	ADV
ejpam-6237	208	23	smaller	small	ADJ
ejpam-6237	208	24	errors	error	NOUN
ejpam-6237	208	25	.	.	PUNCT
ejpam-6237	209	1	hm	hm	INTJ
ejpam-6237	209	2	performs	perform	VERB
ejpam-6237	209	3	better	well	ADJ
ejpam-6237	209	4	than	than	ADP
ejpam-6237	209	5	hhm	hhm	PROPN
ejpam-6237	209	6	but	but	CCONJ
ejpam-6237	209	7	worse	bad	ADJ
ejpam-6237	209	8	than	than	ADP
ejpam-6237	209	9	cam	cam	VERB
ejpam-6237	209	10	and	and	CCONJ
ejpam-6237	209	11	cch	cch	PROPN
ejpam-6237	209	12	.	.	PUNCT
ejpam-6237	210	1	the	the	DET
ejpam-6237	210	2	results	result	NOUN
ejpam-6237	210	3	show	show	VERB
ejpam-6237	210	4	that	that	SCONJ
ejpam-6237	210	5	hhm	hhm	PROPN
ejpam-6237	210	6	struggles	struggle	VERB
ejpam-6237	210	7	to	to	PART
ejpam-6237	210	8	maintain	maintain	VERB
ejpam-6237	210	9	accuracy	accuracy	NOUN
ejpam-6237	210	10	under	under	ADP
ejpam-6237	210	11	larger	large	ADJ
ejpam-6237	210	12	time	time	NOUN
ejpam-6237	210	13	steps	step	NOUN
ejpam-6237	210	14	for	for	ADP
ejpam-6237	210	15	this	this	DET
ejpam-6237	210	16	thermally	thermally	ADV
ejpam-6237	210	17	driven	drive	VERB
ejpam-6237	210	18	problem	problem	NOUN
ejpam-6237	210	19	,	,	PUNCT
ejpam-6237	210	20	likely	likely	ADJ
ejpam-6237	210	21	due	due	ADP
ejpam-6237	210	22	to	to	ADP
ejpam-6237	210	23	its	its	PRON
ejpam-6237	210	24	sensitivity	sensitivity	NOUN
ejpam-6237	210	25	to	to	ADP
ejpam-6237	210	26	rapid	rapid	ADJ
ejpam-6237	210	27	changes	change	NOUN
ejpam-6237	210	28	in	in	ADP
ejpam-6237	210	29	external	external	ADJ
ejpam-6237	210	30	forcing	forcing	NOUN
ejpam-6237	210	31	.	.	PUNCT
ejpam-6237	211	1	cam	cam	NOUN
ejpam-6237	211	2	and	and	CCONJ
ejpam-6237	211	3	cch	cch	PROPN
ejpam-6237	211	4	,	,	PUNCT
ejpam-6237	211	5	which	which	PRON
ejpam-6237	211	6	incorporate	incorporate	VERB
ejpam-6237	211	7	correction	correction	NOUN
ejpam-6237	211	8	steps	step	NOUN
ejpam-6237	211	9	,	,	PUNCT
ejpam-6237	211	10	show	show	VERB
ejpam-6237	211	11	much	much	ADV
ejpam-6237	211	12	better	well	ADJ
ejpam-6237	211	13	performance	performance	NOUN
ejpam-6237	211	14	and	and	CCONJ
ejpam-6237	211	15	stability	stability	NOUN
ejpam-6237	211	16	under	under	ADP
ejpam-6237	211	17	this	this	DET
ejpam-6237	211	18	coarser	coarse	ADJ
ejpam-6237	211	19	discretization	discretization	NOUN
ejpam-6237	211	20	.	.	PUNCT
ejpam-6237	212	1	as	as	SCONJ
ejpam-6237	212	2	the	the	DET
ejpam-6237	212	3	step	step	NOUN
ejpam-6237	212	4	size	size	NOUN
ejpam-6237	212	5	is	be	AUX
ejpam-6237	212	6	reduced	reduce	VERB
ejpam-6237	212	7	to	to	ADP
ejpam-6237	212	8	h	h	NOUN
ejpam-6237	212	9	=	=	NOUN
ejpam-6237	212	10	0.01	0.01	NUM
ejpam-6237	212	11	,	,	PUNCT
ejpam-6237	212	12	the	the	DET
ejpam-6237	212	13	errors	error	NOUN
ejpam-6237	212	14	decrease	decrease	VERB
ejpam-6237	212	15	dramatically	dramatically	ADV
ejpam-6237	212	16	for	for	ADP
ejpam-6237	212	17	all	all	DET
ejpam-6237	212	18	methods	method	NOUN
ejpam-6237	212	19	.	.	PUNCT
ejpam-6237	213	1	cch	cch	NOUN
ejpam-6237	213	2	and	and	CCONJ
ejpam-6237	213	3	ca	can	AUX
ejpam-6237	213	4	maintain	maintain	VERB
ejpam-6237	213	5	their	their	PRON
ejpam-6237	213	6	positions	position	NOUN
ejpam-6237	213	7	as	as	ADP
ejpam-6237	213	8	the	the	DET
ejpam-6237	213	9	most	most	ADV
ejpam-6237	213	10	accurate	accurate	ADJ
ejpam-6237	213	11	methods	method	NOUN
ejpam-6237	213	12	,	,	PUNCT
ejpam-6237	213	13	with	with	ADP
ejpam-6237	213	14	errors	error	NOUN
ejpam-6237	213	15	in	in	ADP
ejpam-6237	213	16	the	the	DET
ejpam-6237	213	17	order	order	NOUN
ejpam-6237	213	18	of	of	ADP
ejpam-6237	213	19	10−7	10−7	NUM
ejpam-6237	213	20	to	to	ADP
ejpam-6237	213	21	10−6	10−6	NUM
ejpam-6237	213	22	.	.	PUNCT
ejpam-6237	214	1	hm	hm	PROPN
ejpam-6237	214	2	also	also	ADV
ejpam-6237	214	3	improves	improve	VERB
ejpam-6237	214	4	substantially	substantially	ADV
ejpam-6237	214	5	,	,	PUNCT
ejpam-6237	214	6	with	with	ADP
ejpam-6237	214	7	errors	error	NOUN
ejpam-6237	214	8	dropping	drop	VERB
ejpam-6237	214	9	into	into	ADP
ejpam-6237	214	10	the	the	DET
ejpam-6237	214	11	range	range	NOUN
ejpam-6237	214	12	of	of	ADP
ejpam-6237	214	13	10−6	10−6	NUM
ejpam-6237	214	14	.	.	PUNCT
ejpam-6237	215	1	however	however	ADV
ejpam-6237	215	2	,	,	PUNCT
ejpam-6237	215	3	hhm	hhm	PROPN
ejpam-6237	215	4	continues	continue	VERB
ejpam-6237	215	5	to	to	PART
ejpam-6237	215	6	exhibit	exhibit	VERB
ejpam-6237	215	7	much	much	ADV
ejpam-6237	215	8	higher	high	ADJ
ejpam-6237	215	9	errors	error	NOUN
ejpam-6237	215	10	-	-	PUNCT
ejpam-6237	215	11	on	on	ADP
ejpam-6237	215	12	the	the	DET
ejpam-6237	215	13	order	order	NOUN
ejpam-6237	215	14	of	of	ADP
ejpam-6237	215	15	1	1	NUM
ejpam-6237	215	16	-	-	PUNCT
ejpam-6237	215	17	throughout	throughout	ADP
ejpam-6237	215	18	the	the	DET
ejpam-6237	215	19	interval	interval	NOUN
ejpam-6237	215	20	.	.	PUNCT
ejpam-6237	216	1	this	this	PRON
ejpam-6237	216	2	,	,	PUNCT
ejpam-6237	216	3	again	again	ADV
ejpam-6237	216	4	indicates	indicate	VERB
ejpam-6237	216	5	that	that	SCONJ
ejpam-6237	216	6	hhm	hhm	PROPN
ejpam-6237	216	7	not	not	PART
ejpam-6237	216	8	be	be	AUX
ejpam-6237	216	9	well	well	ADV
ejpam-6237	216	10	-	-	PUNCT
ejpam-6237	216	11	suited	suit	VERB
ejpam-6237	216	12	for	for	ADP
ejpam-6237	216	13	this	this	DET
ejpam-6237	216	14	particular	particular	ADJ
ejpam-6237	216	15	problem	problem	NOUN
ejpam-6237	216	16	setup	setup	NOUN
ejpam-6237	216	17	,	,	PUNCT
ejpam-6237	216	18	especially	especially	ADV
ejpam-6237	216	19	where	where	SCONJ
ejpam-6237	216	20	the	the	DET
ejpam-6237	216	21	sinusoidal	sinusoidal	ADJ
ejpam-6237	216	22	external	external	ADJ
ejpam-6237	216	23	temperature	temperature	NOUN
ejpam-6237	216	24	induces	induce	VERB
ejpam-6237	216	25	rapid	rapid	ADJ
ejpam-6237	216	26	transitions	transition	NOUN
ejpam-6237	216	27	.	.	PUNCT
ejpam-6237	217	1	as	as	ADP
ejpam-6237	217	2	the	the	DET
ejpam-6237	217	3	finest	fine	ADJ
ejpam-6237	217	4	resolution	resolution	NOUN
ejpam-6237	217	5	,	,	PUNCT
ejpam-6237	217	6	h	h	NOUN
ejpam-6237	217	7	=	=	NOUN
ejpam-6237	217	8	0.001	0.001	NUM
ejpam-6237	217	9	,	,	PUNCT
ejpam-6237	217	10	the	the	DET
ejpam-6237	217	11	results	result	NOUN
ejpam-6237	217	12	converge	converge	VERB
ejpam-6237	217	13	and	and	CCONJ
ejpam-6237	217	14	the	the	DET
ejpam-6237	217	15	error	error	NOUN
ejpam-6237	217	16	differences	difference	NOUN
ejpam-6237	217	17	between	between	ADP
ejpam-6237	217	18	methods	method	NOUN
ejpam-6237	217	19	become	become	VERB
ejpam-6237	217	20	less	less	ADV
ejpam-6237	217	21	dramatic	dramatic	ADJ
ejpam-6237	217	22	,	,	PUNCT
ejpam-6237	217	23	except	except	SCONJ
ejpam-6237	217	24	for	for	ADP
ejpam-6237	217	25	hhm	hhm	PROPN
ejpam-6237	217	26	,	,	PUNCT
ejpam-6237	217	27	which	which	PRON
ejpam-6237	217	28	continues	continue	VERB
ejpam-6237	217	29	to	to	PART
ejpam-6237	217	30	show	show	VERB
ejpam-6237	217	31	relatively	relatively	ADV
ejpam-6237	217	32	large	large	ADJ
ejpam-6237	217	33	errors	error	NOUN
ejpam-6237	217	34	(	(	PUNCT
ejpam-6237	217	35	up	up	ADP
ejpam-6237	217	36	to	to	PART
ejpam-6237	217	37	approximately	approximately	ADV
ejpam-6237	217	38	3.69	3.69	NUM
ejpam-6237	217	39	at	at	ADP
ejpam-6237	217	40	t	t	NOUN
ejpam-6237	217	41	=	=	SYM
ejpam-6237	217	42	1	1	NUM
ejpam-6237	217	43	)	)	PUNCT
ejpam-6237	217	44	.	.	PUNCT
ejpam-6237	218	1	meanwhile	meanwhile	ADV
ejpam-6237	218	2	,	,	PUNCT
ejpam-6237	218	3	cam	cam	NOUN
ejpam-6237	218	4	and	and	CCONJ
ejpam-6237	218	5	cch	cch	PROPN
ejpam-6237	218	6	show	show	NOUN
ejpam-6237	218	7	consistently	consistently	ADV
ejpam-6237	218	8	low	low	ADJ
ejpam-6237	218	9	errors	error	NOUN
ejpam-6237	218	10	around	around	ADP
ejpam-6237	218	11	5	5	NUM
ejpam-6237	218	12	×	×	NOUN
ejpam-6237	218	13	10−8	10−8	NUM
ejpam-6237	218	14	,	,	PUNCT
ejpam-6237	218	15	and	and	CCONJ
ejpam-6237	218	16	hm	hm	INTJ
ejpam-6237	218	17	follows	follow	VERB
ejpam-6237	218	18	closely	closely	ADV
ejpam-6237	218	19	behind	behind	ADV
ejpam-6237	218	20	with	with	ADP
ejpam-6237	218	21	slightly	slightly	ADV
ejpam-6237	218	22	higher	high	ADJ
ejpam-6237	218	23	but	but	CCONJ
ejpam-6237	218	24	still	still	ADV
ejpam-6237	218	25	very	very	ADV
ejpam-6237	218	26	acceptable	acceptable	ADJ
ejpam-6237	218	27	errors	error	NOUN
ejpam-6237	218	28	.	.	PUNCT
ejpam-6237	219	1	the	the	DET
ejpam-6237	219	2	accuracy	accuracy	NOUN
ejpam-6237	219	3	of	of	ADP
ejpam-6237	219	4	cam	cam	NOUN
ejpam-6237	219	5	and	and	CCONJ
ejpam-6237	219	6	cch	cch	PROPN
ejpam-6237	219	7	at	at	ADP
ejpam-6237	219	8	this	this	DET
ejpam-6237	219	9	fine	fine	ADJ
ejpam-6237	219	10	step	step	NOUN
ejpam-6237	219	11	size	size	NOUN
ejpam-6237	219	12	confirms	confirm	VERB
ejpam-6237	219	13	their	their	PRON
ejpam-6237	219	14	robustness	robustness	NOUN
ejpam-6237	219	15	and	and	CCONJ
ejpam-6237	219	16	reliability	reliability	NOUN
ejpam-6237	219	17	for	for	ADP
ejpam-6237	219	18	simulating	simulate	VERB
ejpam-6237	219	19	time	time	NOUN
ejpam-6237	219	20	-	-	PUNCT
ejpam-6237	219	21	dependent	dependent	ADJ
ejpam-6237	219	22	thermal	thermal	ADJ
ejpam-6237	219	23	processes	process	NOUN
ejpam-6237	219	24	with	with	ADP
ejpam-6237	219	25	periodic	periodic	ADJ
ejpam-6237	219	26	behavior	behavior	NOUN
ejpam-6237	219	27	.	.	PUNCT
ejpam-6237	220	1	the	the	DET
ejpam-6237	220	2	cch	cch	PROPN
ejpam-6237	220	3	consistently	consistently	ADV
ejpam-6237	220	4	provides	provide	VERB
ejpam-6237	220	5	the	the	DET
ejpam-6237	220	6	best	good	ADJ
ejpam-6237	220	7	performance	performance	NOUN
ejpam-6237	220	8	across	across	ADP
ejpam-6237	220	9	all	all	DET
ejpam-6237	220	10	step	step	NOUN
ejpam-6237	220	11	sizes	size	NOUN
ejpam-6237	220	12	,	,	PUNCT
ejpam-6237	220	13	followed	follow	VERB
ejpam-6237	220	14	closely	closely	ADV
ejpam-6237	220	15	by	by	ADP
ejpam-6237	220	16	cam	cam	PROPN
ejpam-6237	220	17	.	.	PUNCT
ejpam-6237	221	1	these	these	DET
ejpam-6237	221	2	two	two	NUM
ejpam-6237	221	3	methods	method	NOUN
ejpam-6237	221	4	are	be	AUX
ejpam-6237	221	5	particularly	particularly	ADV
ejpam-6237	221	6	effective	effective	ADJ
ejpam-6237	221	7	in	in	ADP
ejpam-6237	221	8	handling	handle	VERB
ejpam-6237	221	9	the	the	DET
ejpam-6237	221	10	sinusoidal	sinusoidal	ADJ
ejpam-6237	221	11	external	external	ADJ
ejpam-6237	221	12	temperature	temperature	NOUN
ejpam-6237	221	13	and	and	CCONJ
ejpam-6237	221	14	the	the	DET
ejpam-6237	221	15	moderate	moderate	ADJ
ejpam-6237	221	16	stiffness	stiffness	NOUN
ejpam-6237	221	17	introduced	introduce	VERB
ejpam-6237	221	18	by	by	ADP
ejpam-6237	221	19	the	the	DET
ejpam-6237	221	20	parameter	parameter	NOUN
ejpam-6237	221	21	α	α	NOUN
ejpam-6237	221	22	.	.	PUNCT
ejpam-6237	222	1	hm	hm	PROPN
ejpam-6237	222	2	performs	perform	VERB
ejpam-6237	222	3	adequately	adequately	ADV
ejpam-6237	222	4	,	,	PUNCT
ejpam-6237	222	5	especially	especially	ADV
ejpam-6237	222	6	as	as	SCONJ
ejpam-6237	222	7	the	the	DET
ejpam-6237	222	8	step	step	NOUN
ejpam-6237	222	9	size	size	NOUN
ejpam-6237	222	10	becomes	become	VERB
ejpam-6237	222	11	smaller	small	ADJ
ejpam-6237	222	12	,	,	PUNCT
ejpam-6237	222	13	but	but	CCONJ
ejpam-6237	222	14	does	do	AUX
ejpam-6237	222	15	not	not	PART
ejpam-6237	222	16	reach	reach	VERB
ejpam-6237	222	17	the	the	DET
ejpam-6237	222	18	precision	precision	NOUN
ejpam-6237	222	19	of	of	ADP
ejpam-6237	222	20	cch	cch	PROPN
ejpam-6237	222	21	and	and	CCONJ
ejpam-6237	222	22	cam	cam	NOUN
ejpam-6237	222	23	.	.	PUNCT
ejpam-6237	223	1	the	the	DET
ejpam-6237	223	2	hhm	hhm	PROPN
ejpam-6237	223	3	,	,	PUNCT
ejpam-6237	223	4	on	on	ADP
ejpam-6237	223	5	the	the	DET
ejpam-6237	223	6	other	other	ADJ
ejpam-6237	223	7	hand	hand	NOUN
ejpam-6237	223	8	,	,	PUNCT
ejpam-6237	223	9	proves	prove	VERB
ejpam-6237	223	10	to	to	PART
ejpam-6237	223	11	be	be	AUX
ejpam-6237	223	12	unreliable	unreliable	ADJ
ejpam-6237	223	13	for	for	ADP
ejpam-6237	223	14	this	this	DET
ejpam-6237	223	15	example	example	NOUN
ejpam-6237	223	16	,	,	PUNCT
ejpam-6237	223	17	particularly	particularly	ADV
ejpam-6237	223	18	for	for	ADP
ejpam-6237	223	19	coarser	coarse	ADJ
ejpam-6237	223	20	step	step	NOUN
ejpam-6237	223	21	sizes	size	NOUN
ejpam-6237	223	22	,	,	PUNCT
ejpam-6237	223	23	and	and	CCONJ
ejpam-6237	223	24	should	should	AUX
ejpam-6237	223	25	be	be	AUX
ejpam-6237	223	26	used	use	VERB
ejpam-6237	223	27	cautiously	cautiously	ADV
ejpam-6237	223	28	or	or	CCONJ
ejpam-6237	223	29	avoided	avoid	VERB
ejpam-6237	223	30	in	in	ADP
ejpam-6237	223	31	similar	similar	ADJ
ejpam-6237	223	32	thermal	thermal	ADJ
ejpam-6237	223	33	simulations	simulation	NOUN
ejpam-6237	223	34	.	.	PUNCT
ejpam-6237	224	1	to	to	PART
ejpam-6237	224	2	challenge	challenge	VERB
ejpam-6237	224	3	the	the	DET
ejpam-6237	224	4	proposed	propose	VERB
ejpam-6237	224	5	method	method	NOUN
ejpam-6237	224	6	,	,	PUNCT
ejpam-6237	224	7	we	we	PRON
ejpam-6237	224	8	change	change	VERB
ejpam-6237	224	9	the	the	DET
ejpam-6237	224	10	parameter	parameter	NOUN
ejpam-6237	224	11	in	in	ADP
ejpam-6237	224	12	example	example	NOUN
ejpam-6237	224	13	3	3	NUM
ejpam-6237	224	14	to	to	PART
ejpam-6237	224	15	be	be	AUX
ejpam-6237	224	16	α	α	NOUN
ejpam-6237	224	17	=	=	SYM
ejpam-6237	224	18	2	2	NUM
ejpam-6237	224	19	per	per	ADP
ejpam-6237	224	20	hour	hour	NOUN
ejpam-6237	224	21	,	,	PUNCT
ejpam-6237	224	22	which	which	PRON
ejpam-6237	224	23	means	mean	VERB
ejpam-6237	224	24	that	that	SCONJ
ejpam-6237	224	25	the	the	DET
ejpam-6237	224	26	object	object	NOUN
ejpam-6237	224	27	changes	change	VERB
ejpam-6237	224	28	temperature	temperature	NOUN
ejpam-6237	224	29	rapidly	rapidly	ADV
ejpam-6237	224	30	.	.	PUNCT
ejpam-6237	225	1	the	the	DET
ejpam-6237	225	2	numerical	numerical	ADJ
ejpam-6237	225	3	results	result	NOUN
ejpam-6237	225	4	is	be	AUX
ejpam-6237	225	5	presented	present	VERB
ejpam-6237	225	6	in	in	ADP
ejpam-6237	225	7	the	the	DET
ejpam-6237	225	8	table	table	NOUN
ejpam-6237	225	9	4	4	NUM
ejpam-6237	225	10	.	.	X
ejpam-6237	226	1	for	for	ADP
ejpam-6237	226	2	a	a	DET
ejpam-6237	226	3	coarse	coarse	ADJ
ejpam-6237	226	4	step	step	NOUN
ejpam-6237	226	5	size	size	NOUN
ejpam-6237	226	6	h	h	NOUN
ejpam-6237	226	7	=	=	NOUN
ejpam-6237	226	8	0.1	0.1	NUM
ejpam-6237	226	9	,	,	PUNCT
ejpam-6237	226	10	cch	cch	NOUN
ejpam-6237	226	11	consistently	consistently	ADV
ejpam-6237	226	12	achieves	achieve	VERB
ejpam-6237	226	13	the	the	DET
ejpam-6237	226	14	lowest	low	ADJ
ejpam-6237	226	15	errors	error	NOUN
ejpam-6237	226	16	across	across	ADP
ejpam-6237	226	17	all	all	DET
ejpam-6237	226	18	evaluated	evaluated	ADJ
ejpam-6237	226	19	points	point	NOUN
ejpam-6237	226	20	,	,	PUNCT
ejpam-6237	226	21	with	with	ADP
ejpam-6237	226	22	cam	cam	NOUN
ejpam-6237	226	23	and	and	CCONJ
ejpam-6237	226	24	hhm	hhm	PROPN
ejpam-6237	226	25	also	also	ADV
ejpam-6237	226	26	outperforming	outperform	VERB
ejpam-6237	226	27	hm	hm	INTJ
ejpam-6237	226	28	.	.	PUNCT
ejpam-6237	227	1	as	as	SCONJ
ejpam-6237	227	2	the	the	DET
ejpam-6237	227	3	step	step	NOUN
ejpam-6237	227	4	size	size	NOUN
ejpam-6237	227	5	decreases	decrease	VERB
ejpam-6237	227	6	to	to	ADP
ejpam-6237	227	7	h	h	NOUN
ejpam-6237	227	8	=	=	NOUN
ejpam-6237	227	9	0.01	0.01	NUM
ejpam-6237	227	10	,	,	PUNCT
ejpam-6237	227	11	the	the	DET
ejpam-6237	227	12	accuracy	accuracy	NOUN
ejpam-6237	227	13	of	of	ADP
ejpam-6237	227	14	all	all	DET
ejpam-6237	227	15	methods	method	NOUN
ejpam-6237	227	16	improves	improve	VERB
ejpam-6237	227	17	significantly	significantly	ADV
ejpam-6237	227	18	,	,	PUNCT
ejpam-6237	227	19	and	and	CCONJ
ejpam-6237	227	20	both	both	DET
ejpam-6237	227	21	cch	cch	NOUN
ejpam-6237	227	22	and	and	CCONJ
ejpam-6237	227	23	cam	cam	NOUN
ejpam-6237	227	24	yield	yield	VERB
ejpam-6237	227	25	nearly	nearly	ADV
ejpam-6237	227	26	identical	identical	ADJ
ejpam-6237	227	27	and	and	CCONJ
ejpam-6237	227	28	better	well	ADJ
ejpam-6237	227	29	results	result	NOUN
ejpam-6237	227	30	.	.	PUNCT
ejpam-6237	228	1	at	at	ADP
ejpam-6237	228	2	the	the	DET
ejpam-6237	228	3	finest	fine	ADJ
ejpam-6237	228	4	resolution	resolution	NOUN
ejpam-6237	228	5	,	,	PUNCT
ejpam-6237	228	6	h	h	NOUN
ejpam-6237	228	7	=	=	NOUN
ejpam-6237	228	8	0.001	0.001	NUM
ejpam-6237	228	9	,	,	PUNCT
ejpam-6237	228	10	errors	error	NOUN
ejpam-6237	228	11	become	become	VERB
ejpam-6237	228	12	negligible	negligible	ADJ
ejpam-6237	228	13	across	across	ADP
ejpam-6237	228	14	all	all	DET
ejpam-6237	228	15	methods	method	NOUN
ejpam-6237	228	16	,	,	PUNCT
ejpam-6237	228	17	but	but	CCONJ
ejpam-6237	228	18	cch	cch	NOUN
ejpam-6237	228	19	and	and	CCONJ
ejpam-6237	228	20	cam	cam	VERB
ejpam-6237	228	21	again	again	ADV
ejpam-6237	228	22	maintain	maintain	VERB
ejpam-6237	228	23	better	well	ADJ
ejpam-6237	228	24	precision	precision	NOUN
ejpam-6237	228	25	.	.	PUNCT
ejpam-6237	229	1	however	however	ADV
ejpam-6237	229	2	,	,	PUNCT
ejpam-6237	229	3	this	this	DET
ejpam-6237	229	4	increase	increase	NOUN
ejpam-6237	229	5	accuracy	accuracy	NOUN
ejpam-6237	229	6	comes	come	VERB
ejpam-6237	229	7	at	at	ADP
ejpam-6237	229	8	the	the	DET
ejpam-6237	229	9	cost	cost	NOUN
ejpam-6237	229	10	of	of	ADP
ejpam-6237	229	11	higher	high	ADJ
ejpam-6237	229	12	computational	computational	ADJ
ejpam-6237	229	13	time	time	NOUN
ejpam-6237	229	14	.	.	PUNCT
ejpam-6237	230	1	cch	cch	PROPN
ejpam-6237	230	2	shows	show	VERB
ejpam-6237	230	3	the	the	DET
ejpam-6237	230	4	highest	high	ADJ
ejpam-6237	230	5	run	run	ADJ
ejpam-6237	230	6	time	time	NOUN
ejpam-6237	230	7	of	of	ADP
ejpam-6237	230	8	all	all	DET
ejpam-6237	230	9	step	step	NOUN
ejpam-6237	230	10	sizes	size	NOUN
ejpam-6237	230	11	,	,	PUNCT
ejpam-6237	230	12	especially	especially	ADV
ejpam-6237	230	13	at	at	ADP
ejpam-6237	230	14	h	h	NOUN
ejpam-6237	230	15	=	=	NOUN
ejpam-6237	230	16	0.001	0.001	NUM
ejpam-6237	230	17	,	,	PUNCT
ejpam-6237	230	18	where	where	SCONJ
ejpam-6237	230	19	it	it	PRON
ejpam-6237	230	20	requires	require	VERB
ejpam-6237	230	21	0.284	0.284	NUM
ejpam-6237	230	22	seconds	second	NOUN
ejpam-6237	230	23	,	,	PUNCT
ejpam-6237	230	24	slightly	slightly	ADV
ejpam-6237	230	25	more	more	ADJ
ejpam-6237	230	26	than	than	ADP
ejpam-6237	230	27	cam	cam	VERB
ejpam-6237	230	28	(	(	PUNCT
ejpam-6237	230	29	0.278	0.278	NUM
ejpam-6237	230	30	seconds	second	NOUN
ejpam-6237	230	31	)	)	PUNCT
ejpam-6237	230	32	,	,	PUNCT
ejpam-6237	230	33	slightly	slightly	ADV
ejpam-6237	230	34	more	more	ADJ
ejpam-6237	230	35	than	than	ADP
ejpam-6237	230	36	hhm	hhm	PROPN
ejpam-6237	230	37	syamsudhuha	syamsudhuha	PROPN
ejpam-6237	230	38	et	et	PROPN
ejpam-6237	230	39	al	al	PROPN
ejpam-6237	230	40	.	.	PUNCT
ejpam-6237	230	41	/	/	SYM
ejpam-6237	230	42	eur	eur	PROPN
ejpam-6237	230	43	.	.	PUNCT
ejpam-6237	231	1	j.	j.	PROPN
ejpam-6237	231	2	pure	pure	PROPN
ejpam-6237	231	3	appl	appl	PROPN
ejpam-6237	231	4	.	.	PROPN
ejpam-6237	231	5	math	math	PROPN
ejpam-6237	231	6	,	,	PUNCT
ejpam-6237	231	7	18	18	NUM
ejpam-6237	231	8	(	(	PUNCT
ejpam-6237	231	9	3	3	NUM
ejpam-6237	231	10	)	)	PUNCT
ejpam-6237	231	11	(	(	PUNCT
ejpam-6237	231	12	2025	2025	NUM
ejpam-6237	231	13	)	)	PUNCT
ejpam-6237	231	14	,	,	PUNCT
ejpam-6237	231	15	6237	6237	NUM
ejpam-6237	231	16	13	13	NUM
ejpam-6237	231	17	of	of	ADP
ejpam-6237	231	18	15	15	NUM
ejpam-6237	231	19	(	(	PUNCT
ejpam-6237	231	20	0.138	0.138	NUM
ejpam-6237	231	21	seconds	second	NOUN
ejpam-6237	231	22	)	)	PUNCT
ejpam-6237	231	23	and	and	CCONJ
ejpam-6237	231	24	hm	hm	INTJ
ejpam-6237	231	25	(	(	PUNCT
ejpam-6237	231	26	0.062	0.062	NUM
ejpam-6237	231	27	seconds	second	NOUN
ejpam-6237	231	28	)	)	PUNCT
ejpam-6237	231	29	.	.	PUNCT
ejpam-6237	232	1	this	this	PRON
ejpam-6237	232	2	indicates	indicate	VERB
ejpam-6237	232	3	that	that	SCONJ
ejpam-6237	232	4	cch	cch	PROPN
ejpam-6237	232	5	method	method	NOUN
ejpam-6237	232	6	involves	involve	VERB
ejpam-6237	232	7	more	more	ADJ
ejpam-6237	232	8	function	function	NOUN
ejpam-6237	232	9	evaluations	evaluation	NOUN
ejpam-6237	232	10	or	or	CCONJ
ejpam-6237	232	11	computational	computational	ADJ
ejpam-6237	232	12	steps	step	NOUN
ejpam-6237	232	13	per	per	ADP
ejpam-6237	232	14	iteration	iteration	NOUN
ejpam-6237	232	15	reflecting	reflect	VERB
ejpam-6237	232	16	the	the	DET
ejpam-6237	232	17	added	add	VERB
ejpam-6237	232	18	complexity	complexity	NOUN
ejpam-6237	232	19	of	of	ADP
ejpam-6237	232	20	its	its	PRON
ejpam-6237	232	21	correction	correction	NOUN
ejpam-6237	232	22	terms	term	NOUN
ejpam-6237	232	23	.	.	PUNCT
ejpam-6237	233	1	overall	overall	ADV
ejpam-6237	233	2	,	,	PUNCT
ejpam-6237	233	3	the	the	DET
ejpam-6237	233	4	cch	cch	PROPN
ejpam-6237	233	5	method	method	NOUN
ejpam-6237	233	6	proves	prove	VERB
ejpam-6237	233	7	to	to	PART
ejpam-6237	233	8	be	be	AUX
ejpam-6237	233	9	the	the	DET
ejpam-6237	233	10	most	most	ADV
ejpam-6237	233	11	accurate	accurate	ADJ
ejpam-6237	233	12	and	and	CCONJ
ejpam-6237	233	13	stable	stable	ADJ
ejpam-6237	233	14	across	across	ADP
ejpam-6237	233	15	varying	vary	VERB
ejpam-6237	233	16	step	step	NOUN
ejpam-6237	233	17	sizes	size	NOUN
ejpam-6237	233	18	,	,	PUNCT
ejpam-6237	233	19	especially	especially	ADV
ejpam-6237	233	20	for	for	ADP
ejpam-6237	233	21	stiff	stiff	ADJ
ejpam-6237	233	22	problems	problem	NOUN
ejpam-6237	233	23	,	,	PUNCT
ejpam-6237	233	24	making	make	VERB
ejpam-6237	233	25	it	it	PRON
ejpam-6237	233	26	well	well	ADV
ejpam-6237	233	27	-	-	PUNCT
ejpam-6237	233	28	suited	suit	VERB
ejpam-6237	233	29	for	for	ADP
ejpam-6237	233	30	problems	problem	NOUN
ejpam-6237	233	31	with	with	ADP
ejpam-6237	233	32	large	large	ADJ
ejpam-6237	233	33	cooling	cool	VERB
ejpam-6237	233	34	coefficients	coefficient	NOUN
ejpam-6237	233	35	.	.	PUNCT
ejpam-6237	234	1	while	while	SCONJ
ejpam-6237	234	2	it	it	PRON
ejpam-6237	234	3	demands	demand	VERB
ejpam-6237	234	4	more	more	ADJ
ejpam-6237	234	5	computational	computational	ADJ
ejpam-6237	234	6	effort	effort	NOUN
ejpam-6237	234	7	,	,	PUNCT
ejpam-6237	234	8	its	its	PRON
ejpam-6237	234	9	performance	performance	NOUN
ejpam-6237	234	10	justifies	justify	VERB
ejpam-6237	234	11	the	the	DET
ejpam-6237	234	12	cost	cost	NOUN
ejpam-6237	234	13	when	when	SCONJ
ejpam-6237	234	14	high	high	ADJ
ejpam-6237	234	15	accuracy	accuracy	NOUN
ejpam-6237	234	16	is	be	AUX
ejpam-6237	234	17	essential	essential	ADJ
ejpam-6237	234	18	.	.	PUNCT
ejpam-6237	235	1	in	in	ADP
ejpam-6237	235	2	addition	addition	NOUN
ejpam-6237	235	3	,	,	PUNCT
ejpam-6237	235	4	all	all	DET
ejpam-6237	235	5	the	the	DET
ejpam-6237	235	6	tested	test	VERB
ejpam-6237	235	7	methods	method	NOUN
ejpam-6237	235	8	require	require	VERB
ejpam-6237	235	9	two	two	NUM
ejpam-6237	235	10	function	function	NOUN
ejpam-6237	235	11	evaluations	evaluation	NOUN
ejpam-6237	235	12	per	per	ADP
ejpam-6237	235	13	time	time	NOUN
ejpam-6237	235	14	step	step	NOUN
ejpam-6237	235	15	.	.	PUNCT
ejpam-6237	236	1	although	although	SCONJ
ejpam-6237	236	2	the	the	DET
ejpam-6237	236	3	cch	cch	NOUN
ejpam-6237	236	4	method	method	NOUN
ejpam-6237	236	5	involves	involve	VERB
ejpam-6237	236	6	slightly	slightly	ADV
ejpam-6237	236	7	more	more	ADV
ejpam-6237	236	8	complex	complex	ADJ
ejpam-6237	236	9	algebraic	algebraic	ADJ
ejpam-6237	236	10	expressions	expression	NOUN
ejpam-6237	236	11	in	in	ADP
ejpam-6237	236	12	its	its	PRON
ejpam-6237	236	13	update	update	NOUN
ejpam-6237	236	14	formula	formula	NOUN
ejpam-6237	236	15	,	,	PUNCT
ejpam-6237	236	16	its	its	PRON
ejpam-6237	236	17	cost	cost	NOUN
ejpam-6237	236	18	per	per	ADP
ejpam-6237	236	19	step	step	NOUN
ejpam-6237	236	20	remain	remain	VERB
ejpam-6237	236	21	comparable	comparable	ADJ
ejpam-6237	236	22	to	to	ADP
ejpam-6237	236	23	other	other	ADJ
ejpam-6237	236	24	methods	method	NOUN
ejpam-6237	236	25	such	such	ADJ
ejpam-6237	236	26	as	as	ADP
ejpam-6237	236	27	hm	hm	PROPN
ejpam-6237	236	28	,	,	PUNCT
ejpam-6237	236	29	hhm	hhm	PROPN
ejpam-6237	236	30	,	,	PUNCT
ejpam-6237	236	31	and	and	CCONJ
ejpam-6237	236	32	cam	cam	NOUN
ejpam-6237	236	33	.	.	PUNCT
ejpam-6237	237	1	therefore	therefore	ADV
ejpam-6237	237	2	,	,	PUNCT
ejpam-6237	237	3	the	the	DET
ejpam-6237	237	4	increase	increase	NOUN
ejpam-6237	237	5	in	in	ADP
ejpam-6237	237	6	computational	computational	ADJ
ejpam-6237	237	7	cost	cost	NOUN
ejpam-6237	237	8	is	be	AUX
ejpam-6237	237	9	marginal	marginal	ADJ
ejpam-6237	237	10	and	and	CCONJ
ejpam-6237	237	11	justified	justify	VERB
ejpam-6237	237	12	by	by	ADP
ejpam-6237	237	13	the	the	DET
ejpam-6237	237	14	improved	improved	ADJ
ejpam-6237	237	15	accuracy	accuracy	NOUN
ejpam-6237	237	16	.	.	PUNCT
ejpam-6237	238	1	4	4	X
ejpam-6237	238	2	.	.	X
ejpam-6237	238	3	conclusion	conclusion	NOUN
ejpam-6237	238	4	and	and	CCONJ
ejpam-6237	238	5	outlook	outlook	NOUN
ejpam-6237	238	6	in	in	ADP
ejpam-6237	238	7	this	this	DET
ejpam-6237	238	8	study	study	NOUN
ejpam-6237	238	9	,	,	PUNCT
ejpam-6237	238	10	we	we	PRON
ejpam-6237	238	11	have	have	AUX
ejpam-6237	238	12	introduced	introduce	VERB
ejpam-6237	238	13	a	a	DET
ejpam-6237	238	14	novel	novel	ADJ
ejpam-6237	238	15	numerical	numerical	ADJ
ejpam-6237	238	16	method	method	NOUN
ejpam-6237	238	17	for	for	ADP
ejpam-6237	238	18	solving	solve	VERB
ejpam-6237	238	19	initial	initial	ADJ
ejpam-6237	238	20	value	value	NOUN
ejpam-6237	238	21	problems	problem	NOUN
ejpam-6237	238	22	(	(	PUNCT
ejpam-6237	238	23	ivps	ivps	PROPN
ejpam-6237	238	24	)	)	PUNCT
ejpam-6237	238	25	by	by	ADP
ejpam-6237	238	26	modifying	modify	VERB
ejpam-6237	238	27	heun	heun	PROPN
ejpam-6237	238	28	’s	’s	PART
ejpam-6237	238	29	method	method	NOUN
ejpam-6237	238	30	through	through	ADP
ejpam-6237	238	31	the	the	DET
ejpam-6237	238	32	integration	integration	NOUN
ejpam-6237	238	33	of	of	ADP
ejpam-6237	238	34	contraharmonic	contraharmonic	NOUN
ejpam-6237	238	35	and	and	CCONJ
ejpam-6237	238	36	centroidal	centroidal	ADJ
ejpam-6237	238	37	means	mean	NOUN
ejpam-6237	238	38	.	.	PUNCT
ejpam-6237	239	1	the	the	DET
ejpam-6237	239	2	proposed	propose	VERB
ejpam-6237	239	3	method	method	NOUN
ejpam-6237	239	4	,	,	PUNCT
ejpam-6237	239	5	referred	refer	VERB
ejpam-6237	239	6	to	to	ADP
ejpam-6237	239	7	as	as	ADP
ejpam-6237	239	8	cch	cch	PROPN
ejpam-6237	239	9	,	,	PUNCT
ejpam-6237	239	10	was	be	AUX
ejpam-6237	239	11	designed	design	VERB
ejpam-6237	239	12	to	to	PART
ejpam-6237	239	13	enhance	enhance	VERB
ejpam-6237	239	14	the	the	DET
ejpam-6237	239	15	stability	stability	NOUN
ejpam-6237	239	16	,	,	PUNCT
ejpam-6237	239	17	accuracy	accuracy	NOUN
ejpam-6237	239	18	,	,	PUNCT
ejpam-6237	239	19	and	and	CCONJ
ejpam-6237	239	20	consistency	consistency	NOUN
ejpam-6237	239	21	of	of	ADP
ejpam-6237	239	22	heun	heun	PROPN
ejpam-6237	239	23	’s	’s	PART
ejpam-6237	239	24	original	original	ADJ
ejpam-6237	239	25	approach	approach	NOUN
ejpam-6237	239	26	.	.	PUNCT
ejpam-6237	240	1	a	a	DET
ejpam-6237	240	2	comprehensive	comprehensive	ADJ
ejpam-6237	240	3	theoretical	theoretical	ADJ
ejpam-6237	240	4	analysis	analysis	NOUN
ejpam-6237	240	5	confirmed	confirm	VERB
ejpam-6237	240	6	that	that	SCONJ
ejpam-6237	240	7	the	the	DET
ejpam-6237	240	8	method	method	NOUN
ejpam-6237	240	9	is	be	AUX
ejpam-6237	240	10	both	both	CCONJ
ejpam-6237	240	11	consistent	consistent	ADJ
ejpam-6237	240	12	and	and	CCONJ
ejpam-6237	240	13	of	of	ADP
ejpam-6237	240	14	second	second	ADJ
ejpam-6237	240	15	-	-	PUNCT
ejpam-6237	240	16	order	order	NOUN
ejpam-6237	240	17	accuracy	accuracy	NOUN
ejpam-6237	240	18	,	,	PUNCT
ejpam-6237	240	19	with	with	ADP
ejpam-6237	240	20	local	local	ADJ
ejpam-6237	240	21	truncation	truncation	NOUN
ejpam-6237	240	22	error	error	NOUN
ejpam-6237	240	23	of	of	ADP
ejpam-6237	240	24	order	order	NOUN
ejpam-6237	240	25	o(h3	o(h3	ADV
ejpam-6237	240	26	)	)	PUNCT
ejpam-6237	240	27	.	.	PUNCT
ejpam-6237	241	1	the	the	DET
ejpam-6237	241	2	stability	stability	NOUN
ejpam-6237	241	3	region	region	NOUN
ejpam-6237	241	4	of	of	ADP
ejpam-6237	241	5	the	the	DET
ejpam-6237	241	6	cch	cch	PROPN
ejpam-6237	241	7	method	method	NOUN
ejpam-6237	241	8	was	be	AUX
ejpam-6237	241	9	also	also	ADV
ejpam-6237	241	10	established	establish	VERB
ejpam-6237	241	11	using	use	VERB
ejpam-6237	241	12	the	the	DET
ejpam-6237	241	13	dahlquist	dahlquist	NOUN
ejpam-6237	241	14	test	test	NOUN
ejpam-6237	241	15	problem	problem	NOUN
ejpam-6237	241	16	,	,	PUNCT
ejpam-6237	241	17	revealing	reveal	VERB
ejpam-6237	241	18	a	a	DET
ejpam-6237	241	19	favorable	favorable	ADJ
ejpam-6237	241	20	profile	profile	NOUN
ejpam-6237	241	21	compared	compare	VERB
ejpam-6237	241	22	to	to	ADP
ejpam-6237	241	23	existing	exist	VERB
ejpam-6237	241	24	methods	method	NOUN
ejpam-6237	241	25	.	.	PUNCT
ejpam-6237	242	1	through	through	ADP
ejpam-6237	242	2	extensive	extensive	ADJ
ejpam-6237	242	3	numerical	numerical	ADJ
ejpam-6237	242	4	experiments	experiment	NOUN
ejpam-6237	242	5	on	on	ADP
ejpam-6237	242	6	various	various	ADJ
ejpam-6237	242	7	test	test	NOUN
ejpam-6237	242	8	problems	problem	NOUN
ejpam-6237	242	9	,	,	PUNCT
ejpam-6237	242	10	including	include	VERB
ejpam-6237	242	11	both	both	CCONJ
ejpam-6237	242	12	linear	linear	ADJ
ejpam-6237	242	13	and	and	CCONJ
ejpam-6237	242	14	stiff	stiff	ADJ
ejpam-6237	242	15	differential	differential	ADJ
ejpam-6237	242	16	equations	equation	NOUN
ejpam-6237	242	17	,	,	PUNCT
ejpam-6237	242	18	the	the	DET
ejpam-6237	242	19	performance	performance	NOUN
ejpam-6237	242	20	of	of	ADP
ejpam-6237	242	21	cch	cch	PROPN
ejpam-6237	242	22	was	be	AUX
ejpam-6237	242	23	bench	bench	NOUN
ejpam-6237	242	24	marked	mark	VERB
ejpam-6237	242	25	against	against	ADP
ejpam-6237	242	26	classical	classical	ADJ
ejpam-6237	242	27	heun	heun	NOUN
ejpam-6237	242	28	’s	’s	PART
ejpam-6237	242	29	method	method	NOUN
ejpam-6237	242	30	(	(	PUNCT
ejpam-6237	242	31	hm	hm	INTJ
ejpam-6237	242	32	)	)	PUNCT
ejpam-6237	242	33	,	,	PUNCT
ejpam-6237	242	34	hhm	hhm	PROPN
ejpam-6237	242	35	,	,	PUNCT
ejpam-6237	242	36	and	and	CCONJ
ejpam-6237	242	37	cam	cam	VERB
ejpam-6237	242	38	.	.	PUNCT
ejpam-6237	243	1	the	the	DET
ejpam-6237	243	2	results	result	NOUN
ejpam-6237	243	3	consistently	consistently	ADV
ejpam-6237	243	4	demonstrated	demonstrate	VERB
ejpam-6237	243	5	that	that	SCONJ
ejpam-6237	243	6	the	the	DET
ejpam-6237	243	7	cch	cch	PROPN
ejpam-6237	243	8	method	method	NOUN
ejpam-6237	243	9	outperforms	outperform	VERB
ejpam-6237	243	10	the	the	DET
ejpam-6237	243	11	others	other	NOUN
ejpam-6237	243	12	in	in	ADP
ejpam-6237	243	13	terms	term	NOUN
ejpam-6237	243	14	of	of	ADP
ejpam-6237	243	15	accuracy	accuracy	NOUN
ejpam-6237	243	16	,	,	PUNCT
ejpam-6237	243	17	especially	especially	ADV
ejpam-6237	243	18	at	at	ADP
ejpam-6237	243	19	smaller	small	ADJ
ejpam-6237	243	20	step	step	NOUN
ejpam-6237	243	21	sizes	size	NOUN
ejpam-6237	243	22	.	.	PUNCT
ejpam-6237	244	1	in	in	ADP
ejpam-6237	244	2	particular	particular	ADJ
ejpam-6237	244	3	,	,	PUNCT
ejpam-6237	244	4	cch	cch	PROPN
ejpam-6237	244	5	exhibited	exhibit	VERB
ejpam-6237	244	6	excellent	excellent	ADJ
ejpam-6237	244	7	stability	stability	NOUN
ejpam-6237	244	8	and	and	CCONJ
ejpam-6237	244	9	precision	precision	NOUN
ejpam-6237	244	10	even	even	ADV
ejpam-6237	244	11	for	for	ADP
ejpam-6237	244	12	challenging	challenging	ADJ
ejpam-6237	244	13	problems	problem	NOUN
ejpam-6237	244	14	,	,	PUNCT
ejpam-6237	244	15	such	such	ADJ
ejpam-6237	244	16	as	as	ADP
ejpam-6237	244	17	those	those	PRON
ejpam-6237	244	18	involving	involve	VERB
ejpam-6237	244	19	rapidly	rapidly	ADV
ejpam-6237	244	20	oscillating	oscillate	VERB
ejpam-6237	244	21	or	or	CCONJ
ejpam-6237	244	22	stiff	stiff	ADJ
ejpam-6237	244	23	systems	system	NOUN
ejpam-6237	244	24	.	.	PUNCT
ejpam-6237	245	1	example	example	NOUN
ejpam-6237	246	1	1	1	NUM
ejpam-6237	246	2	showed	show	VERB
ejpam-6237	246	3	that	that	SCONJ
ejpam-6237	246	4	while	while	SCONJ
ejpam-6237	246	5	all	all	DET
ejpam-6237	246	6	methods	method	NOUN
ejpam-6237	246	7	improved	improve	VERB
ejpam-6237	246	8	with	with	ADP
ejpam-6237	246	9	smaller	small	ADJ
ejpam-6237	246	10	step	step	NOUN
ejpam-6237	246	11	sizes	size	NOUN
ejpam-6237	246	12	,	,	PUNCT
ejpam-6237	246	13	cch	cch	PROPN
ejpam-6237	246	14	and	and	CCONJ
ejpam-6237	246	15	cam	cam	NOUN
ejpam-6237	246	16	delivered	deliver	VERB
ejpam-6237	246	17	the	the	DET
ejpam-6237	246	18	most	most	ADV
ejpam-6237	246	19	accurate	accurate	ADJ
ejpam-6237	246	20	results	result	NOUN
ejpam-6237	246	21	,	,	PUNCT
ejpam-6237	246	22	with	with	ADP
ejpam-6237	246	23	hhm	hhm	NOUN
ejpam-6237	246	24	performing	perform	VERB
ejpam-6237	246	25	poorly	poorly	ADV
ejpam-6237	246	26	at	at	ADP
ejpam-6237	246	27	larger	large	ADJ
ejpam-6237	246	28	steps	step	NOUN
ejpam-6237	246	29	.	.	PUNCT
ejpam-6237	246	30	example	example	NOUN
ejpam-6237	246	31	2	2	NUM
ejpam-6237	246	32	,	,	PUNCT
ejpam-6237	246	33	being	be	AUX
ejpam-6237	246	34	more	more	ADV
ejpam-6237	246	35	sensitive	sensitive	ADJ
ejpam-6237	246	36	and	and	CCONJ
ejpam-6237	246	37	stiff	stiff	ADJ
ejpam-6237	246	38	,	,	PUNCT
ejpam-6237	246	39	further	far	ADV
ejpam-6237	246	40	highlighted	highlight	VERB
ejpam-6237	246	41	the	the	DET
ejpam-6237	246	42	robustness	robustness	NOUN
ejpam-6237	246	43	of	of	ADP
ejpam-6237	246	44	cch	cch	PROPN
ejpam-6237	246	45	,	,	PUNCT
ejpam-6237	246	46	which	which	PRON
ejpam-6237	246	47	maintained	maintain	VERB
ejpam-6237	246	48	stable	stable	ADJ
ejpam-6237	246	49	and	and	CCONJ
ejpam-6237	246	50	accurate	accurate	ADJ
ejpam-6237	246	51	results	result	NOUN
ejpam-6237	246	52	even	even	ADV
ejpam-6237	246	53	when	when	SCONJ
ejpam-6237	246	54	other	other	ADJ
ejpam-6237	246	55	methods	method	NOUN
ejpam-6237	246	56	diverged	diverge	VERB
ejpam-6237	246	57	.	.	PUNCT
ejpam-6237	247	1	in	in	ADP
ejpam-6237	247	2	example	example	NOUN
ejpam-6237	247	3	3	3	NUM
ejpam-6237	247	4	,	,	PUNCT
ejpam-6237	247	5	which	which	PRON
ejpam-6237	247	6	modeled	model	VERB
ejpam-6237	247	7	a	a	DET
ejpam-6237	247	8	physically	physically	ADV
ejpam-6237	247	9	meaningful	meaningful	ADJ
ejpam-6237	247	10	scenario	scenario	NOUN
ejpam-6237	247	11	based	base	VERB
ejpam-6237	247	12	on	on	ADP
ejpam-6237	247	13	newton	newton	PROPN
ejpam-6237	247	14	’s	’s	PART
ejpam-6237	247	15	law	law	NOUN
ejpam-6237	247	16	of	of	ADP
ejpam-6237	247	17	cooling	cool	VERB
ejpam-6237	247	18	with	with	ADP
ejpam-6237	247	19	sinusoidal	sinusoidal	ADJ
ejpam-6237	247	20	external	external	ADJ
ejpam-6237	247	21	temperature	temperature	NOUN
ejpam-6237	247	22	,	,	PUNCT
ejpam-6237	247	23	the	the	DET
ejpam-6237	247	24	cch	cch	PROPN
ejpam-6237	247	25	method	method	NOUN
ejpam-6237	247	26	again	again	ADV
ejpam-6237	247	27	proved	prove	VERB
ejpam-6237	247	28	superior	superior	ADJ
ejpam-6237	247	29	in	in	ADP
ejpam-6237	247	30	both	both	CCONJ
ejpam-6237	247	31	coarse	coarse	ADJ
ejpam-6237	247	32	and	and	CCONJ
ejpam-6237	247	33	fine	fine	ADJ
ejpam-6237	247	34	discretizations	discretization	NOUN
ejpam-6237	247	35	,	,	PUNCT
ejpam-6237	247	36	confirming	confirm	VERB
ejpam-6237	247	37	its	its	PRON
ejpam-6237	247	38	applicability	applicability	NOUN
ejpam-6237	247	39	in	in	ADP
ejpam-6237	247	40	real	real	ADJ
ejpam-6237	247	41	-	-	PUNCT
ejpam-6237	247	42	world	world	NOUN
ejpam-6237	247	43	simulations	simulation	NOUN
ejpam-6237	247	44	involving	involve	VERB
ejpam-6237	247	45	periodic	periodic	ADJ
ejpam-6237	247	46	or	or	CCONJ
ejpam-6237	247	47	time	time	NOUN
ejpam-6237	247	48	-	-	PUNCT
ejpam-6237	247	49	varying	vary	VERB
ejpam-6237	247	50	behaviors	behavior	NOUN
ejpam-6237	247	51	.	.	PUNCT
ejpam-6237	248	1	overall	overall	ADV
ejpam-6237	248	2	,	,	PUNCT
ejpam-6237	248	3	the	the	DET
ejpam-6237	248	4	proposed	propose	VERB
ejpam-6237	248	5	cch	cch	PROPN
ejpam-6237	248	6	method	method	NOUN
ejpam-6237	248	7	provides	provide	VERB
ejpam-6237	248	8	a	a	DET
ejpam-6237	248	9	reliable	reliable	ADJ
ejpam-6237	248	10	and	and	CCONJ
ejpam-6237	248	11	efficient	efficient	ADJ
ejpam-6237	248	12	alternative	alternative	NOUN
ejpam-6237	248	13	to	to	ADP
ejpam-6237	248	14	existing	exist	VERB
ejpam-6237	248	15	numerical	numerical	ADJ
ejpam-6237	248	16	methods	method	NOUN
ejpam-6237	248	17	for	for	ADP
ejpam-6237	248	18	solving	solve	VERB
ejpam-6237	248	19	ivps	ivps	PROPN
ejpam-6237	248	20	.	.	PUNCT
ejpam-6237	249	1	its	its	PRON
ejpam-6237	249	2	mean	mean	ADV
ejpam-6237	249	3	-	-	PUNCT
ejpam-6237	249	4	based	base	VERB
ejpam-6237	249	5	formulation	formulation	NOUN
ejpam-6237	249	6	not	not	PART
ejpam-6237	249	7	only	only	ADV
ejpam-6237	249	8	enhances	enhance	VERB
ejpam-6237	249	9	numerical	numerical	ADJ
ejpam-6237	249	10	accuracy	accuracy	NOUN
ejpam-6237	249	11	but	but	CCONJ
ejpam-6237	249	12	also	also	ADV
ejpam-6237	249	13	extends	extend	VERB
ejpam-6237	249	14	the	the	DET
ejpam-6237	249	15	stability	stability	NOUN
ejpam-6237	249	16	region	region	NOUN
ejpam-6237	249	17	,	,	PUNCT
ejpam-6237	249	18	making	make	VERB
ejpam-6237	249	19	it	it	PRON
ejpam-6237	249	20	suitable	suitable	ADJ
ejpam-6237	249	21	for	for	ADP
ejpam-6237	249	22	a	a	DET
ejpam-6237	249	23	broader	broad	ADJ
ejpam-6237	249	24	class	class	NOUN
ejpam-6237	249	25	of	of	ADP
ejpam-6237	249	26	differential	differential	ADJ
ejpam-6237	249	27	equations	equation	NOUN
ejpam-6237	249	28	.	.	PUNCT
ejpam-6237	250	1	future	future	ADJ
ejpam-6237	250	2	work	work	NOUN
ejpam-6237	250	3	may	may	AUX
ejpam-6237	250	4	explore	explore	VERB
ejpam-6237	250	5	extending	extend	VERB
ejpam-6237	250	6	the	the	DET
ejpam-6237	250	7	cch	cch	NOUN
ejpam-6237	250	8	methods	method	NOUN
ejpam-6237	250	9	to	to	ADP
ejpam-6237	250	10	systems	system	NOUN
ejpam-6237	250	11	of	of	ADP
ejpam-6237	250	12	ordinary	ordinary	ADJ
ejpam-6237	250	13	differential	differential	ADJ
ejpam-6237	250	14	equations	equation	NOUN
ejpam-6237	250	15	(	(	PUNCT
ejpam-6237	250	16	odes	ode	NOUN
ejpam-6237	250	17	)	)	PUNCT
ejpam-6237	250	18	,	,	PUNCT
ejpam-6237	250	19	applications	application	NOUN
ejpam-6237	250	20	in	in	ADP
ejpam-6237	250	21	partial	partial	ADJ
ejpam-6237	250	22	differential	differential	ADJ
ejpam-6237	250	23	equations	equation	NOUN
ejpam-6237	250	24	(	(	PUNCT
ejpam-6237	250	25	pdes	pde	NOUN
ejpam-6237	250	26	)	)	PUNCT
ejpam-6237	250	27	,	,	PUNCT
ejpam-6237	250	28	or	or	CCONJ
ejpam-6237	250	29	incorporation	incorporation	NOUN
ejpam-6237	250	30	of	of	ADP
ejpam-6237	250	31	adaptive	adaptive	ADJ
ejpam-6237	250	32	step	step	NOUN
ejpam-6237	250	33	-	-	PUNCT
ejpam-6237	250	34	size	size	NOUN
ejpam-6237	250	35	control	control	NOUN
ejpam-6237	250	36	for	for	ADP
ejpam-6237	250	37	further	further	ADJ
ejpam-6237	250	38	performance	performance	NOUN
ejpam-6237	250	39	optimization	optimization	NOUN
ejpam-6237	250	40	in	in	ADP
ejpam-6237	250	41	complex	complex	ADJ
ejpam-6237	250	42	dynamic	dynamic	ADJ
ejpam-6237	250	43	systems	system	NOUN
ejpam-6237	250	44	.	.	PUNCT
ejpam-6237	251	1	syamsudhuha	syamsudhuha	PROPN
ejpam-6237	251	2	et	et	PROPN
ejpam-6237	251	3	al	al	PROPN
ejpam-6237	251	4	.	.	PUNCT
ejpam-6237	251	5	/	/	SYM
ejpam-6237	251	6	eur	eur	PROPN
ejpam-6237	251	7	.	.	PUNCT
ejpam-6237	252	1	j.	j.	PROPN
ejpam-6237	252	2	pure	pure	PROPN
ejpam-6237	252	3	appl	appl	PROPN
ejpam-6237	252	4	.	.	PROPN
ejpam-6237	252	5	math	math	PROPN
ejpam-6237	252	6	,	,	PUNCT
ejpam-6237	252	7	18	18	NUM
ejpam-6237	252	8	(	(	PUNCT
ejpam-6237	252	9	3	3	NUM
ejpam-6237	252	10	)	)	PUNCT
ejpam-6237	252	11	(	(	PUNCT
ejpam-6237	252	12	2025	2025	NUM
ejpam-6237	252	13	)	)	PUNCT
ejpam-6237	252	14	,	,	PUNCT
ejpam-6237	252	15	6237	6237	NUM
ejpam-6237	252	16	14	14	NUM
ejpam-6237	252	17	of	of	ADP
ejpam-6237	252	18	15	15	NUM
ejpam-6237	252	19	acknowledgements	acknowledgement	NOUN
ejpam-6237	252	20	the	the	DET
ejpam-6237	252	21	authors	author	NOUN
ejpam-6237	252	22	gratefully	gratefully	ADV
ejpam-6237	252	23	acknowledge	acknowledge	VERB
ejpam-6237	252	24	the	the	DET
ejpam-6237	252	25	financial	financial	ADJ
ejpam-6237	252	26	support	support	NOUN
ejpam-6237	252	27	provided	provide	VERB
ejpam-6237	252	28	by	by	ADP
ejpam-6237	252	29	the	the	DET
ejpam-6237	252	30	institute	institute	NOUN
ejpam-6237	252	31	for	for	ADP
ejpam-6237	252	32	research	research	NOUN
ejpam-6237	252	33	and	and	CCONJ
ejpam-6237	252	34	community	community	NOUN
ejpam-6237	252	35	service	service	NOUN
ejpam-6237	252	36	(	(	PUNCT
ejpam-6237	252	37	lppm	lppm	PROPN
ejpam-6237	252	38	)	)	PUNCT
ejpam-6237	252	39	,	,	PUNCT
ejpam-6237	252	40	university	university	NOUN
ejpam-6237	252	41	of	of	ADP
ejpam-6237	252	42	riau	riau	PROPN
ejpam-6237	252	43	,	,	PUNCT
ejpam-6237	252	44	which	which	PRON
ejpam-6237	252	45	has	have	AUX
ejpam-6237	252	46	been	be	AUX
ejpam-6237	252	47	instrumental	instrumental	ADJ
ejpam-6237	252	48	in	in	ADP
ejpam-6237	252	49	the	the	DET
ejpam-6237	252	50	successful	successful	ADJ
ejpam-6237	252	51	completion	completion	NOUN
ejpam-6237	252	52	of	of	ADP
ejpam-6237	252	53	this	this	DET
ejpam-6237	252	54	research	research	NOUN
ejpam-6237	252	55	.	.	PUNCT
ejpam-6237	253	1	references	reference	NOUN
ejpam-6237	253	2	[	[	X
ejpam-6237	253	3	1	1	NUM
ejpam-6237	253	4	]	]	X
ejpam-6237	253	5	kendall	kendall	PROPN
ejpam-6237	253	6	e	e	PROPN
ejpam-6237	253	7	atkinson	atkinson	PROPN
ejpam-6237	253	8	and	and	CCONJ
ejpam-6237	253	9	weimin	weimin	PROPN
ejpam-6237	253	10	han	han	PROPN
ejpam-6237	253	11	.	.	PROPN
ejpam-6237	253	12	elementary	elementary	PROPN
ejpam-6237	253	13	numerical	numerical	PROPN
ejpam-6237	253	14	analysis	analysis	PROPN
ejpam-6237	253	15	.	.	PUNCT
ejpam-6237	254	1	wiley	wiley	PROPN
ejpam-6237	254	2	new	new	PROPN
ejpam-6237	254	3	york	york	PROPN
ejpam-6237	254	4	,	,	PUNCT
ejpam-6237	254	5	1985	1985	NUM
ejpam-6237	254	6	.	.	PUNCT
ejpam-6237	255	1	[	[	X
ejpam-6237	255	2	2	2	NUM
ejpam-6237	255	3	]	]	PUNCT
ejpam-6237	255	4	e	e	X
ejpam-6237	255	5	kreyszig	kreyszig	PROPN
ejpam-6237	255	6	.	.	PUNCT
ejpam-6237	256	1	advanced	advanced	ADJ
ejpam-6237	256	2	engineering	engineering	NOUN
ejpam-6237	256	3	mathematics	mathematic	NOUN
ejpam-6237	256	4	.	.	PUNCT
ejpam-6237	257	1	wiley	wiley	PROPN
ejpam-6237	257	2	,	,	PUNCT
ejpam-6237	257	3	9	9	NUM
ejpam-6237	257	4	edition	edition	NOUN
ejpam-6237	257	5	.	.	PUNCT
ejpam-6237	258	1	[	[	X
ejpam-6237	258	2	3	3	X
ejpam-6237	258	3	]	]	X
ejpam-6237	258	4	abushet	abushet	NOUN
ejpam-6237	258	5	hayalu	hayalu	X
ejpam-6237	258	6	workie	workie	PROPN
ejpam-6237	258	7	.	.	PUNCT
ejpam-6237	259	1	small	small	ADJ
ejpam-6237	259	2	modification	modification	NOUN
ejpam-6237	259	3	on	on	ADP
ejpam-6237	259	4	modified	modify	VERB
ejpam-6237	259	5	euler	euler	NOUN
ejpam-6237	259	6	method	method	NOUN
ejpam-6237	259	7	for	for	ADP
ejpam-6237	259	8	solving	solve	VERB
ejpam-6237	259	9	initial	initial	ADJ
ejpam-6237	259	10	value	value	NOUN
ejpam-6237	259	11	problems	problem	NOUN
ejpam-6237	259	12	.	.	PUNCT
ejpam-6237	260	1	in	in	ADP
ejpam-6237	260	2	abstract	abstract	ADJ
ejpam-6237	260	3	and	and	CCONJ
ejpam-6237	260	4	applied	apply	VERB
ejpam-6237	260	5	analysis	analysis	NOUN
ejpam-6237	260	6	,	,	PUNCT
ejpam-6237	260	7	volume	volume	NOUN
ejpam-6237	260	8	2021	2021	NUM
ejpam-6237	260	9	,	,	PUNCT
ejpam-6237	260	10	page	page	NOUN
ejpam-6237	260	11	9951815	9951815	NUM
ejpam-6237	260	12	.	.	PUNCT
ejpam-6237	261	1	wiley	wiley	PROPN
ejpam-6237	261	2	online	online	PROPN
ejpam-6237	261	3	library	library	PROPN
ejpam-6237	261	4	,	,	PUNCT
ejpam-6237	261	5	2021	2021	NUM
ejpam-6237	261	6	.	.	PUNCT
ejpam-6237	262	1	[	[	X
ejpam-6237	262	2	4	4	X
ejpam-6237	262	3	]	]	X
ejpam-6237	262	4	ms	ms	NOUN
ejpam-6237	262	5	chandio	chandio	NOUN
ejpam-6237	262	6	and	and	CCONJ
ejpam-6237	262	7	ag	ag	PROPN
ejpam-6237	262	8	memon	memon	PROPN
ejpam-6237	262	9	.	.	PUNCT
ejpam-6237	263	1	improving	improve	VERB
ejpam-6237	263	2	the	the	DET
ejpam-6237	263	3	efficiency	efficiency	NOUN
ejpam-6237	263	4	of	of	ADP
ejpam-6237	263	5	heun	heun	PROPN
ejpam-6237	263	6	’s	’s	PART
ejpam-6237	263	7	method	method	NOUN
ejpam-6237	263	8	.	.	PUNCT
ejpam-6237	264	1	sindh	sindh	PROPN
ejpam-6237	264	2	university	university	PROPN
ejpam-6237	264	3	research	research	PROPN
ejpam-6237	264	4	journal	journal	PROPN
ejpam-6237	264	5	-	-	PUNCT
ejpam-6237	264	6	surj	surj	NOUN
ejpam-6237	264	7	(	(	PUNCT
ejpam-6237	264	8	science	science	NOUN
ejpam-6237	264	9	series	series	PROPN
ejpam-6237	264	10	)	)	PUNCT
ejpam-6237	264	11	,	,	PUNCT
ejpam-6237	264	12	42(2	42(2	PROPN
ejpam-6237	264	13	)	)	PUNCT
ejpam-6237	264	14	,	,	PUNCT
ejpam-6237	264	15	2010	2010	NUM
ejpam-6237	264	16	.	.	PUNCT
ejpam-6237	265	1	[	[	X
ejpam-6237	265	2	5	5	X
ejpam-6237	265	3	]	]	PUNCT
ejpam-6237	265	4	abushet	abushet	NOUN
ejpam-6237	265	5	hayalu	hayalu	X
ejpam-6237	265	6	workie	workie	PROPN
ejpam-6237	265	7	.	.	PUNCT
ejpam-6237	266	1	new	new	ADJ
ejpam-6237	266	2	modification	modification	NOUN
ejpam-6237	266	3	on	on	ADP
ejpam-6237	266	4	heun	heun	PROPN
ejpam-6237	266	5	’s	’s	PART
ejpam-6237	266	6	method	method	NOUN
ejpam-6237	266	7	based	base	VERB
ejpam-6237	266	8	on	on	ADP
ejpam-6237	266	9	contraharmonic	contraharmonic	PROPN
ejpam-6237	266	10	mean	mean	NOUN
ejpam-6237	266	11	for	for	ADP
ejpam-6237	266	12	solving	solve	VERB
ejpam-6237	266	13	initial	initial	ADJ
ejpam-6237	266	14	value	value	NOUN
ejpam-6237	266	15	problems	problem	NOUN
ejpam-6237	266	16	with	with	ADP
ejpam-6237	266	17	high	high	ADJ
ejpam-6237	266	18	efficiency	efficiency	NOUN
ejpam-6237	266	19	.	.	PUNCT
ejpam-6237	267	1	journal	journal	NOUN
ejpam-6237	267	2	of	of	ADP
ejpam-6237	267	3	mathematics	mathematic	NOUN
ejpam-6237	267	4	,	,	PUNCT
ejpam-6237	267	5	2020(1):6650855	2020(1):6650855	NUM
ejpam-6237	267	6	,	,	PUNCT
ejpam-6237	267	7	2020	2020	NUM
ejpam-6237	267	8	.	.	PUNCT
ejpam-6237	268	1	[	[	X
ejpam-6237	268	2	6	6	NUM
ejpam-6237	268	3	]	]	X
ejpam-6237	268	4	osama	osama	PROPN
ejpam-6237	268	5	yusuf	yusuf	PROPN
ejpam-6237	268	6	ababneh	ababneh	PROPN
ejpam-6237	268	7	and	and	CCONJ
ejpam-6237	268	8	rokiah	rokiah	PROPN
ejpam-6237	268	9	rozita	rozita	PROPN
ejpam-6237	268	10	.	.	PUNCT
ejpam-6237	269	1	new	new	ADJ
ejpam-6237	269	2	third	third	ADJ
ejpam-6237	269	3	order	order	NOUN
ejpam-6237	269	4	runge	runge	VERB
ejpam-6237	269	5	kutta	kutta	NOUN
ejpam-6237	269	6	based	base	VERB
ejpam-6237	269	7	on	on	ADP
ejpam-6237	269	8	contraharmonic	contraharmonic	PROPN
ejpam-6237	269	9	mean	mean	NOUN
ejpam-6237	269	10	for	for	ADP
ejpam-6237	269	11	stiff	stiff	ADJ
ejpam-6237	269	12	problems	problem	NOUN
ejpam-6237	269	13	.	.	PUNCT
ejpam-6237	270	1	applied	apply	VERB
ejpam-6237	270	2	mathematical	mathematical	ADJ
ejpam-6237	270	3	sciences	science	NOUN
ejpam-6237	270	4	,	,	PUNCT
ejpam-6237	270	5	3(8):365	3(8):365	NUM
ejpam-6237	270	6	–	–	PUNCT
ejpam-6237	270	7	376	376	NUM
ejpam-6237	270	8	,	,	PUNCT
ejpam-6237	270	9	2009	2009	NUM
ejpam-6237	270	10	.	.	PUNCT
ejpam-6237	271	1	[	[	X
ejpam-6237	271	2	7	7	X
ejpam-6237	271	3	]	]	X
ejpam-6237	271	4	rini	rini	PROPN
ejpam-6237	271	5	yanti	yanti	PROPN
ejpam-6237	271	6	,	,	PUNCT
ejpam-6237	271	7	m	m	VERB
ejpam-6237	271	8	imran	imran	ADJ
ejpam-6237	271	9	,	,	PUNCT
ejpam-6237	271	10	et	et	PROPN
ejpam-6237	271	11	al	al	PROPN
ejpam-6237	271	12	.	.	PUNCT
ejpam-6237	272	1	a	a	DET
ejpam-6237	272	2	third	third	ADJ
ejpam-6237	272	3	runge	runge	NOUN
ejpam-6237	272	4	kutta	kutta	NOUN
ejpam-6237	272	5	method	method	NOUN
ejpam-6237	272	6	based	base	VERB
ejpam-6237	272	7	on	on	ADP
ejpam-6237	272	8	a	a	DET
ejpam-6237	272	9	linear	linear	ADJ
ejpam-6237	272	10	combination	combination	NOUN
ejpam-6237	272	11	of	of	ADP
ejpam-6237	272	12	arithmetic	arithmetic	ADJ
ejpam-6237	272	13	mean	mean	NOUN
ejpam-6237	272	14	,	,	PUNCT
ejpam-6237	272	15	harmonic	harmonic	ADJ
ejpam-6237	272	16	mean	mean	NOUN
ejpam-6237	272	17	and	and	CCONJ
ejpam-6237	272	18	geometric	geometric	ADJ
ejpam-6237	272	19	mean	mean	NOUN
ejpam-6237	272	20	.	.	PUNCT
ejpam-6237	273	1	applied	apply	VERB
ejpam-6237	273	2	and	and	CCONJ
ejpam-6237	273	3	computational	computational	ADJ
ejpam-6237	273	4	mathematics	mathematic	NOUN
ejpam-6237	273	5	,	,	PUNCT
ejpam-6237	273	6	10(2):231–234	10(2):231–234	NUM
ejpam-6237	273	7	,	,	PUNCT
ejpam-6237	273	8	2014	2014	NUM
ejpam-6237	273	9	.	.	PUNCT
ejpam-6237	274	1	[	[	X
ejpam-6237	274	2	8	8	X
ejpam-6237	274	3	]	]	PUNCT
ejpam-6237	274	4	endah	endah	PROPN
ejpam-6237	274	5	dwi	dwi	PROPN
ejpam-6237	274	6	jayanti	jayanti	PROPN
ejpam-6237	274	7	,	,	PUNCT
ejpam-6237	274	8	m	m	VERB
ejpam-6237	274	9	imran	imran	ADJ
ejpam-6237	274	10	,	,	PUNCT
ejpam-6237	274	11	et	et	PROPN
ejpam-6237	274	12	al	al	PROPN
ejpam-6237	274	13	.	.	PUNCT
ejpam-6237	275	1	a	a	DET
ejpam-6237	275	2	third	third	ADJ
ejpam-6237	275	3	order	order	NOUN
ejpam-6237	275	4	runge	runge	NOUN
ejpam-6237	275	5	-	-	PUNCT
ejpam-6237	275	6	kutta	kutta	NOUN
ejpam-6237	275	7	method	method	NOUN
ejpam-6237	275	8	based	base	VERB
ejpam-6237	275	9	on	on	ADP
ejpam-6237	275	10	a	a	DET
ejpam-6237	275	11	convex	convex	ADJ
ejpam-6237	275	12	combination	combination	NOUN
ejpam-6237	275	13	of	of	ADP
ejpam-6237	275	14	lehmer	lehmer	NOUN
ejpam-6237	275	15	means	mean	NOUN
ejpam-6237	275	16	.	.	PUNCT
ejpam-6237	276	1	j.	j.	PROPN
ejpam-6237	276	2	math	math	PROPN
ejpam-6237	276	3	.	.	PUNCT
ejpam-6237	277	1	comput	comput	NOUN
ejpam-6237	277	2	.	.	PUNCT
ejpam-6237	278	1	sci	sci	PROPN
ejpam-6237	278	2	.	.	PROPN
ejpam-6237	278	3	,	,	PUNCT
ejpam-6237	278	4	8(6):673–682	8(6):673–682	NUM
ejpam-6237	278	5	,	,	PUNCT
ejpam-6237	278	6	2018	2018	NUM
ejpam-6237	278	7	.	.	PUNCT
ejpam-6237	279	1	[	[	X
ejpam-6237	279	2	9	9	NUM
ejpam-6237	279	3	]	]	SYM
ejpam-6237	279	4	r	r	NOUN
ejpam-6237	279	5	gethsi	gethsi	NOUN
ejpam-6237	279	6	sharmila	sharmila	PROPN
ejpam-6237	279	7	,	,	PUNCT
ejpam-6237	279	8	s	s	PART
ejpam-6237	279	9	suvitha	suvitha	NOUN
ejpam-6237	279	10	,	,	PUNCT
ejpam-6237	279	11	and	and	CCONJ
ejpam-6237	279	12	m	m	PROPN
ejpam-6237	279	13	sarah	sarah	PROPN
ejpam-6237	279	14	sunithy	sunithy	ADJ
ejpam-6237	279	15	.	.	PUNCT
ejpam-6237	280	1	a	a	DET
ejpam-6237	280	2	third	third	ADJ
ejpam-6237	280	3	order	order	NOUN
ejpam-6237	280	4	runge	runge	NOUN
ejpam-6237	280	5	-	-	PUNCT
ejpam-6237	280	6	kutta	kutta	NOUN
ejpam-6237	280	7	method	method	NOUN
ejpam-6237	280	8	based	base	VERB
ejpam-6237	280	9	on	on	ADP
ejpam-6237	280	10	a	a	DET
ejpam-6237	280	11	linear	linear	ADJ
ejpam-6237	280	12	combination	combination	NOUN
ejpam-6237	280	13	of	of	ADP
ejpam-6237	280	14	arithmetic	arithmetic	ADJ
ejpam-6237	280	15	mean	mean	NOUN
ejpam-6237	280	16	,	,	PUNCT
ejpam-6237	280	17	geometric	geometric	ADJ
ejpam-6237	280	18	mean	mean	NOUN
ejpam-6237	280	19	and	and	CCONJ
ejpam-6237	280	20	centroidal	centroidal	ADJ
ejpam-6237	280	21	mean	mean	VERB
ejpam-6237	280	22	for	for	ADP
ejpam-6237	280	23	first	first	ADJ
ejpam-6237	280	24	order	order	NOUN
ejpam-6237	280	25	differential	differential	ADJ
ejpam-6237	280	26	equation	equation	NOUN
ejpam-6237	280	27	.	.	PUNCT
ejpam-6237	281	1	in	in	ADP
ejpam-6237	281	2	aip	aip	PROPN
ejpam-6237	281	3	conference	conference	NOUN
ejpam-6237	281	4	proceedings	proceeding	NOUN
ejpam-6237	281	5	,	,	PUNCT
ejpam-6237	281	6	volume	volume	NOUN
ejpam-6237	281	7	2261	2261	NUM
ejpam-6237	281	8	.	.	PUNCT
ejpam-6237	282	1	aip	aip	PROPN
ejpam-6237	282	2	publishing	publishing	PROPN
ejpam-6237	282	3	,	,	PUNCT
ejpam-6237	282	4	2020	2020	NUM
ejpam-6237	282	5	.	.	PUNCT
ejpam-6237	283	1	[	[	X
ejpam-6237	283	2	10	10	NUM
ejpam-6237	283	3	]	]	X
ejpam-6237	283	4	tulja	tulja	NOUN
ejpam-6237	283	5	ram	ram	NOUN
ejpam-6237	283	6	,	,	PUNCT
ejpam-6237	283	7	muhammad	muhammad	PROPN
ejpam-6237	283	8	anwar	anwar	PROPN
ejpam-6237	283	9	solangi	solangi	PROPN
ejpam-6237	283	10	,	,	PUNCT
ejpam-6237	283	11	wajid	wajid	PROPN
ejpam-6237	283	12	ali	ali	PROPN
ejpam-6237	283	13	shaikh	shaikh	PROPN
ejpam-6237	283	14	,	,	PUNCT
ejpam-6237	283	15	and	and	CCONJ
ejpam-6237	283	16	asif	asif	PROPN
ejpam-6237	283	17	ali	ali	PROPN
ejpam-6237	283	18	shaikh	shaikh	PROPN
ejpam-6237	283	19	.	.	PROPN
ejpam-6237	283	20	meanbased	meanbase	VERB
ejpam-6237	283	21	efficient	efficient	ADJ
ejpam-6237	283	22	hybrid	hybrid	ADJ
ejpam-6237	283	23	numerical	numerical	ADJ
ejpam-6237	283	24	method	method	NOUN
ejpam-6237	283	25	for	for	ADP
ejpam-6237	283	26	solving	solve	VERB
ejpam-6237	283	27	first	first	ADJ
ejpam-6237	283	28	-	-	PUNCT
ejpam-6237	283	29	order	order	NOUN
ejpam-6237	283	30	ordinary	ordinary	ADJ
ejpam-6237	283	31	differential	differential	ADJ
ejpam-6237	283	32	equations	equation	NOUN
ejpam-6237	283	33	.	.	PUNCT
ejpam-6237	284	1	quaid	quaid	PROPN
ejpam-6237	284	2	-	-	PUNCT
ejpam-6237	284	3	e	e	VERB
ejpam-6237	284	4	-	-	ADJ
ejpam-6237	284	5	awam	awam	ADJ
ejpam-6237	284	6	university	university	NOUN
ejpam-6237	284	7	research	research	NOUN
ejpam-6237	284	8	journal	journal	NOUN
ejpam-6237	284	9	of	of	ADP
ejpam-6237	284	10	engineering	engineering	NOUN
ejpam-6237	284	11	science	science	NOUN
ejpam-6237	284	12	and	and	CCONJ
ejpam-6237	284	13	technology	technology	NOUN
ejpam-6237	284	14	,	,	PUNCT
ejpam-6237	284	15	20(1):8–12	20(1):8–12	NUM
ejpam-6237	284	16	,	,	PUNCT
ejpam-6237	284	17	2022	2022	NUM
ejpam-6237	284	18	.	.	PUNCT
ejpam-6237	285	1	[	[	X
ejpam-6237	285	2	11	11	NUM
ejpam-6237	285	3	]	]	X
ejpam-6237	285	4	md	md	PROPN
ejpam-6237	285	5	monirul	monirul	PROPN
ejpam-6237	285	6	islam	islam	PROPN
ejpam-6237	285	7	sumon	sumon	PROPN
ejpam-6237	285	8	and	and	CCONJ
ejpam-6237	285	9	md	md	PROPN
ejpam-6237	285	10	nurulhoque	nurulhoque	PROPN
ejpam-6237	285	11	.	.	PUNCT
ejpam-6237	286	1	a	a	DET
ejpam-6237	286	2	comparative	comparative	ADJ
ejpam-6237	286	3	study	study	NOUN
ejpam-6237	286	4	of	of	ADP
ejpam-6237	286	5	numerical	numerical	ADJ
ejpam-6237	286	6	methods	method	NOUN
ejpam-6237	286	7	for	for	ADP
ejpam-6237	286	8	solving	solve	VERB
ejpam-6237	286	9	initial	initial	ADJ
ejpam-6237	286	10	value	value	NOUN
ejpam-6237	286	11	problem	problem	NOUN
ejpam-6237	286	12	(	(	PUNCT
ejpam-6237	286	13	ivp	ivp	NOUN
ejpam-6237	286	14	)	)	PUNCT
ejpam-6237	286	15	of	of	ADP
ejpam-6237	286	16	ordinary	ordinary	ADJ
ejpam-6237	286	17	differential	differential	ADJ
ejpam-6237	286	18	equations	equation	NOUN
ejpam-6237	286	19	(	(	PUNCT
ejpam-6237	286	20	ode	ode	PROPN
ejpam-6237	286	21	)	)	PUNCT
ejpam-6237	286	22	.	.	PUNCT
ejpam-6237	287	1	american	american	PROPN
ejpam-6237	287	2	journal	journal	PROPN
ejpam-6237	287	3	of	of	ADP
ejpam-6237	287	4	applied	apply	VERB
ejpam-6237	287	5	mathematics	mathematic	NOUN
ejpam-6237	287	6	,	,	PUNCT
ejpam-6237	287	7	11(6):106–118	11(6):106–118	NUM
ejpam-6237	287	8	,	,	PUNCT
ejpam-6237	287	9	2023	2023	NUM
ejpam-6237	287	10	.	.	PUNCT
ejpam-6237	288	1	[	[	X
ejpam-6237	288	2	12	12	NUM
ejpam-6237	288	3	]	]	X
ejpam-6237	288	4	yenesew	yenesew	ADJ
ejpam-6237	288	5	workineh	workineh	NOUN
ejpam-6237	288	6	,	,	PUNCT
ejpam-6237	288	7	habtamu	habtamu	ADJ
ejpam-6237	288	8	mekonnen	mekonnen	NOUN
ejpam-6237	288	9	,	,	PUNCT
ejpam-6237	288	10	and	and	CCONJ
ejpam-6237	288	11	basaznew	basaznew	ADJ
ejpam-6237	288	12	belew	belew	NOUN
ejpam-6237	288	13	.	.	PUNCT
ejpam-6237	289	1	numerical	numerical	ADJ
ejpam-6237	289	2	methods	method	NOUN
ejpam-6237	289	3	for	for	ADP
ejpam-6237	289	4	solving	solve	VERB
ejpam-6237	289	5	second	second	ADJ
ejpam-6237	289	6	-	-	PUNCT
ejpam-6237	289	7	order	order	NOUN
ejpam-6237	289	8	initial	initial	ADJ
ejpam-6237	289	9	value	value	NOUN
ejpam-6237	289	10	problems	problem	NOUN
ejpam-6237	289	11	of	of	ADP
ejpam-6237	289	12	ordinary	ordinary	ADJ
ejpam-6237	289	13	differential	differential	ADJ
ejpam-6237	289	14	equations	equation	NOUN
ejpam-6237	289	15	with	with	ADP
ejpam-6237	289	16	euler	euler	NOUN
ejpam-6237	289	17	and	and	CCONJ
ejpam-6237	289	18	runge	runge	NOUN
ejpam-6237	289	19	-	-	PUNCT
ejpam-6237	289	20	kutta	kutta	NOUN
ejpam-6237	289	21	fourth	fourth	ADJ
ejpam-6237	289	22	-	-	PUNCT
ejpam-6237	289	23	order	order	NOUN
ejpam-6237	289	24	methods	method	NOUN
ejpam-6237	289	25	.	.	PUNCT
ejpam-6237	290	1	frontiers	frontier	NOUN
ejpam-6237	290	2	in	in	ADP
ejpam-6237	290	3	applied	apply	VERB
ejpam-6237	290	4	mathematics	mathematic	NOUN
ejpam-6237	290	5	and	and	CCONJ
ejpam-6237	290	6	statistics	statistic	NOUN
ejpam-6237	290	7	,	,	PUNCT
ejpam-6237	290	8	10:1360628	10:1360628	NUM
ejpam-6237	290	9	,	,	PUNCT
ejpam-6237	290	10	2024	2024	NUM
ejpam-6237	290	11	.	.	PUNCT
ejpam-6237	291	1	[	[	X
ejpam-6237	291	2	13	13	NUM
ejpam-6237	291	3	]	]	PUNCT
ejpam-6237	291	4	a.	a.	NOUN
ejpam-6237	291	5	hari	hari	PROPN
ejpam-6237	291	6	ganesh	ganesh	PROPN
ejpam-6237	291	7	.	.	PUNCT
ejpam-6237	292	1	a	a	DET
ejpam-6237	292	2	numerical	numerical	ADJ
ejpam-6237	292	3	approach	approach	NOUN
ejpam-6237	292	4	for	for	ADP
ejpam-6237	292	5	solving	solve	VERB
ejpam-6237	292	6	fuzzy	fuzzy	ADJ
ejpam-6237	292	7	differential	differential	NOUN
ejpam-6237	292	8	equation	equation	NOUN
ejpam-6237	292	9	ussyamsudhuha	ussyamsudhuha	NOUN
ejpam-6237	292	10	et	et	PROPN
ejpam-6237	292	11	al	al	PROPN
ejpam-6237	292	12	.	.	PUNCT
ejpam-6237	292	13	/	/	SYM
ejpam-6237	292	14	eur	eur	PROPN
ejpam-6237	292	15	.	.	PUNCT
ejpam-6237	293	1	j.	j.	PROPN
ejpam-6237	293	2	pure	pure	PROPN
ejpam-6237	293	3	appl	appl	PROPN
ejpam-6237	293	4	.	.	PROPN
ejpam-6237	293	5	math	math	PROPN
ejpam-6237	293	6	,	,	PUNCT
ejpam-6237	293	7	18	18	NUM
ejpam-6237	293	8	(	(	PUNCT
ejpam-6237	293	9	3	3	NUM
ejpam-6237	293	10	)	)	PUNCT
ejpam-6237	293	11	(	(	PUNCT
ejpam-6237	293	12	2025	2025	NUM
ejpam-6237	293	13	)	)	PUNCT
ejpam-6237	293	14	,	,	PUNCT
ejpam-6237	293	15	6237	6237	NUM
ejpam-6237	293	16	15	15	NUM
ejpam-6237	293	17	of	of	ADP
ejpam-6237	293	18	15	15	NUM
ejpam-6237	293	19	ing	ing	ADJ
ejpam-6237	293	20	enhanced	enhance	VERB
ejpam-6237	293	21	euler	euler	PROPN
ejpam-6237	293	22	’s	’s	PART
ejpam-6237	293	23	methods	method	NOUN
ejpam-6237	293	24	based	base	VERB
ejpam-6237	293	25	on	on	ADP
ejpam-6237	293	26	contra	contra	PROPN
ejpam-6237	293	27	harmonic	harmonic	PROPN
ejpam-6237	293	28	mean	mean	NOUN
ejpam-6237	293	29	and	and	CCONJ
ejpam-6237	293	30	centroidal	centroidal	ADJ
ejpam-6237	293	31	mean	mean	NOUN
ejpam-6237	293	32	.	.	PUNCT
ejpam-6237	294	1	32(8):271–284	32(8):271–284	NOUN
ejpam-6237	294	2	.	.	PUNCT
ejpam-6237	295	1	number	number	NOUN
ejpam-6237	295	2	:	:	PUNCT
ejpam-6237	295	3	8s	8s	NUM
ejpam-6237	295	4	.	.	PUNCT
ejpam-6237	296	1	[	[	X
ejpam-6237	296	2	14	14	NUM
ejpam-6237	296	3	]	]	X
ejpam-6237	296	4	r	r	NOUN
ejpam-6237	296	5	balaji	balaji	PROPN
ejpam-6237	296	6	,	,	PUNCT
ejpam-6237	296	7	m	m	PROPN
ejpam-6237	296	8	saradha	saradha	PROPN
ejpam-6237	296	9	,	,	PUNCT
ejpam-6237	296	10	et	et	PROPN
ejpam-6237	296	11	al	al	PROPN
ejpam-6237	296	12	.	.	PROPN
ejpam-6237	296	13	numerical	numerical	PROPN
ejpam-6237	296	14	solutions	solution	NOUN
ejpam-6237	296	15	of	of	ADP
ejpam-6237	296	16	fuzzy	fuzzy	ADJ
ejpam-6237	296	17	differential	differential	ADJ
ejpam-6237	296	18	equations	equation	NOUN
ejpam-6237	296	19	by	by	ADP
ejpam-6237	296	20	harmonic	harmonic	ADJ
ejpam-6237	296	21	mean	mean	NOUN
ejpam-6237	296	22	and	and	CCONJ
ejpam-6237	296	23	cubic	cubic	ADJ
ejpam-6237	296	24	mean	mean	NOUN
ejpam-6237	296	25	of	of	ADP
ejpam-6237	296	26	modified	modified	PROPN
ejpam-6237	296	27	euler	euler	PROPN
ejpam-6237	296	28	’s	’s	PART
ejpam-6237	296	29	method	method	NOUN
ejpam-6237	296	30	.	.	PUNCT
ejpam-6237	297	1	contemporary	contemporary	ADJ
ejpam-6237	297	2	mathematics	mathematic	NOUN
ejpam-6237	297	3	,	,	PUNCT
ejpam-6237	297	4	pages	page	NOUN
ejpam-6237	297	5	581–591	581–591	NUM
ejpam-6237	297	6	,	,	PUNCT
ejpam-6237	297	7	2023	2023	NUM
ejpam-6237	297	8	.	.	PUNCT
ejpam-6237	298	1	[	[	X
ejpam-6237	298	2	15	15	NUM
ejpam-6237	298	3	]	]	X
ejpam-6237	298	4	robert	robert	PROPN
ejpam-6237	298	5	m	m	PROPN
ejpam-6237	298	6	corless	corless	PROPN
ejpam-6237	298	7	,	,	PUNCT
ejpam-6237	298	8	c	c	PROPN
ejpam-6237	298	9	yalçın	yalçın	PROPN
ejpam-6237	298	10	kaya	kaya	PROPN
ejpam-6237	298	11	,	,	PUNCT
ejpam-6237	298	12	and	and	CCONJ
ejpam-6237	298	13	robert	robert	PROPN
ejpam-6237	298	14	hc	hc	PROPN
ejpam-6237	298	15	moir	moir	PROPN
ejpam-6237	298	16	.	.	PUNCT
ejpam-6237	299	1	optimal	optimal	ADJ
ejpam-6237	299	2	residuals	residual	NOUN
ejpam-6237	299	3	and	and	CCONJ
ejpam-6237	299	4	the	the	DET
ejpam-6237	299	5	dahlquist	dahlquist	NOUN
ejpam-6237	299	6	test	test	NOUN
ejpam-6237	299	7	problem	problem	NOUN
ejpam-6237	299	8	.	.	PUNCT
ejpam-6237	300	1	numerical	numerical	ADJ
ejpam-6237	300	2	algorithms	algorithms	PROPN
ejpam-6237	300	3	,	,	PUNCT
ejpam-6237	300	4	81:1253–1274	81:1253–1274	NUM
ejpam-6237	300	5	,	,	PUNCT
ejpam-6237	300	6	2019	2019	NUM
ejpam-6237	300	7	.	.	PUNCT
ejpam-6237	301	1	[	[	X
ejpam-6237	301	2	16	16	NUM
ejpam-6237	301	3	]	]	X
ejpam-6237	301	4	noori	noori	PROPN
ejpam-6237	301	5	y	y	PROPN
ejpam-6237	301	6	abdul	abdul	PROPN
ejpam-6237	301	7	-	-	PUNCT
ejpam-6237	301	8	hassan	hassan	PROPN
ejpam-6237	301	9	,	,	PUNCT
ejpam-6237	301	10	zainab	zainab	PROPN
ejpam-6237	301	11	j	j	PROPN
ejpam-6237	301	12	kadum	kadum	PROPN
ejpam-6237	301	13	,	,	PUNCT
ejpam-6237	301	14	and	and	CCONJ
ejpam-6237	301	15	ali	ali	PROPN
ejpam-6237	301	16	hasan	hasan	PROPN
ejpam-6237	301	17	ali	ali	PROPN
ejpam-6237	301	18	.	.	PUNCT
ejpam-6237	302	1	an	an	DET
ejpam-6237	302	2	efficient	efficient	ADJ
ejpam-6237	302	3	third	third	ADJ
ejpam-6237	302	4	-	-	PUNCT
ejpam-6237	302	5	order	order	NOUN
ejpam-6237	302	6	scheme	scheme	NOUN
ejpam-6237	302	7	based	base	VERB
ejpam-6237	302	8	on	on	ADP
ejpam-6237	302	9	runge	runge	NOUN
ejpam-6237	302	10	–	–	PUNCT
ejpam-6237	302	11	kutta	kutta	PROPN
ejpam-6237	302	12	and	and	CCONJ
ejpam-6237	302	13	taylor	taylor	PROPN
ejpam-6237	302	14	series	series	PROPN
ejpam-6237	302	15	expansion	expansion	NOUN
ejpam-6237	302	16	for	for	ADP
ejpam-6237	302	17	solving	solve	VERB
ejpam-6237	302	18	initial	initial	ADJ
ejpam-6237	302	19	value	value	NOUN
ejpam-6237	302	20	problems	problem	NOUN
ejpam-6237	302	21	.	.	PUNCT
ejpam-6237	303	1	algorithms	algorithm	NOUN
ejpam-6237	303	2	,	,	PUNCT
ejpam-6237	303	3	17(3):123	17(3):123	NOUN
ejpam-6237	303	4	,	,	PUNCT
ejpam-6237	303	5	2024	2024	NUM
ejpam-6237	303	6	.	.	PUNCT
ejpam-6237	304	1	[	[	X
ejpam-6237	304	2	17	17	NUM
ejpam-6237	304	3	]	]	X
ejpam-6237	304	4	mohammad	mohammad	PROPN
ejpam-6237	304	5	asif	asif	PROPN
ejpam-6237	304	6	arefin	arefin	PROPN
ejpam-6237	304	7	,	,	PUNCT
ejpam-6237	304	8	biswajit	biswajit	NOUN
ejpam-6237	304	9	gain	gain	VERB
ejpam-6237	304	10	,	,	PUNCT
ejpam-6237	304	11	rezaul	rezaul	NOUN
ejpam-6237	304	12	karim	karim	PROPN
ejpam-6237	304	13	,	,	PUNCT
ejpam-6237	304	14	and	and	CCONJ
ejpam-6237	304	15	saddam	saddam	PROPN
ejpam-6237	304	16	hossain	hossain	PROPN
ejpam-6237	304	17	.	.	PUNCT
ejpam-6237	305	1	a	a	DET
ejpam-6237	305	2	comparative	comparative	ADJ
ejpam-6237	305	3	exploration	exploration	NOUN
ejpam-6237	305	4	on	on	ADP
ejpam-6237	305	5	different	different	ADJ
ejpam-6237	305	6	numerical	numerical	ADJ
ejpam-6237	305	7	methods	method	NOUN
ejpam-6237	305	8	for	for	ADP
ejpam-6237	305	9	solving	solve	VERB
ejpam-6237	305	10	ordinary	ordinary	ADJ
ejpam-6237	305	11	differential	differential	ADJ
ejpam-6237	305	12	equations	equation	NOUN
ejpam-6237	305	13	.	.	PUNCT
ejpam-6237	306	1	j.	j.	PROPN
ejpam-6237	306	2	mech	mech	PROPN
ejpam-6237	306	3	.	.	PUNCT
ejpam-6237	307	1	cont	cont	PROPN
ejpam-6237	307	2	.	.	PROPN
ejpam-6237	307	3	&	&	CCONJ
ejpam-6237	307	4	math	math	PROPN
ejpam-6237	307	5	.	.	PUNCT
ejpam-6237	308	1	sci	sci	PROPN
ejpam-6237	308	2	,	,	PUNCT
ejpam-6237	308	3	15(12):1–11	15(12):1–11	NUM
ejpam-6237	308	4	,	,	PUNCT
ejpam-6237	308	5	2020	2020	NUM
ejpam-6237	308	6	.	.	PUNCT
ejpam-6237	309	1	[	[	X
ejpam-6237	309	2	18	18	NUM
ejpam-6237	309	3	]	]	X
ejpam-6237	309	4	md	md	PROPN
ejpam-6237	309	5	kamruzzaman	kamruzzaman	PROPN
ejpam-6237	309	6	and	and	CCONJ
ejpam-6237	309	7	mithun	mithun	PROPN
ejpam-6237	309	8	chandra	chandra	PROPN
ejpam-6237	309	9	nath	nath	PROPN
ejpam-6237	309	10	.	.	PUNCT
ejpam-6237	310	1	a	a	DET
ejpam-6237	310	2	comparative	comparative	ADJ
ejpam-6237	310	3	study	study	NOUN
ejpam-6237	310	4	on	on	ADP
ejpam-6237	310	5	numerical	numerical	ADJ
ejpam-6237	310	6	solution	solution	NOUN
ejpam-6237	310	7	of	of	ADP
ejpam-6237	310	8	initial	initial	ADJ
ejpam-6237	310	9	value	value	NOUN
ejpam-6237	310	10	problem	problem	NOUN
ejpam-6237	310	11	by	by	ADP
ejpam-6237	310	12	using	use	VERB
ejpam-6237	310	13	euler	euler	NOUN
ejpam-6237	310	14	’s	’s	PART
ejpam-6237	310	15	method	method	NOUN
ejpam-6237	310	16	.	.	PUNCT
ejpam-6237	311	1	journal	journal	NOUN
ejpam-6237	311	2	of	of	ADP
ejpam-6237	311	3	computer	computer	NOUN
ejpam-6237	311	4	and	and	CCONJ
ejpam-6237	311	5	mathematical	mathematical	ADJ
ejpam-6237	311	6	sciences	science	NOUN
ejpam-6237	311	7	,	,	PUNCT
ejpam-6237	311	8	9(5):493–500	9(5):493–500	NOUN
ejpam-6237	311	9	,	,	PUNCT
ejpam-6237	311	10	2018	2018	NUM
ejpam-6237	311	11	.	.	PUNCT
ejpam-6237	312	1	[	[	X
ejpam-6237	312	2	19	19	NUM
ejpam-6237	312	3	]	]	X
ejpam-6237	312	4	william	william	PROPN
ejpam-6237	312	5	e	e	PROPN
ejpam-6237	312	6	boyce	boyce	PROPN
ejpam-6237	312	7	,	,	PUNCT
ejpam-6237	312	8	richard	richard	PROPN
ejpam-6237	312	9	c	c	PROPN
ejpam-6237	312	10	diprima	diprima	PROPN
ejpam-6237	312	11	,	,	PUNCT
ejpam-6237	312	12	and	and	CCONJ
ejpam-6237	312	13	douglas	douglas	PROPN
ejpam-6237	312	14	b	b	PROPN
ejpam-6237	312	15	meade	meade	PROPN
ejpam-6237	312	16	.	.	PUNCT
ejpam-6237	313	1	elementary	elementary	PROPN
ejpam-6237	313	2	differential	differential	PROPN
ejpam-6237	313	3	equations	equation	NOUN
ejpam-6237	313	4	and	and	CCONJ
ejpam-6237	313	5	boundary	boundary	ADJ
ejpam-6237	313	6	value	value	NOUN
ejpam-6237	313	7	problems	problem	NOUN
ejpam-6237	313	8	.	.	PUNCT
ejpam-6237	314	1	john	john	PROPN
ejpam-6237	314	2	wiley	wiley	PROPN
ejpam-6237	314	3	&	&	CCONJ
ejpam-6237	314	4	sons	son	NOUN
ejpam-6237	314	5	,	,	PUNCT
ejpam-6237	314	6	2017	2017	NUM
ejpam-6237	314	7	.	.	PUNCT
