id	sid	tid	token	lemma	pos
ejpam-4103	1	1	european	european	PROPN
ejpam-4103	1	2	journal	journal	PROPN
ejpam-4103	1	3	of	of	ADP
ejpam-4103	1	4	pure	pure	ADJ
ejpam-4103	1	5	and	and	CCONJ
ejpam-4103	1	6	applied	apply	VERB
ejpam-4103	1	7	mathematics	mathematic	NOUN
ejpam-4103	1	8	vol	vol	NOUN
ejpam-4103	1	9	.	.	PUNCT
ejpam-4103	2	1	14	14	NUM
ejpam-4103	2	2	,	,	PUNCT
ejpam-4103	2	3	no	no	INTJ
ejpam-4103	2	4	.	.	NOUN
ejpam-4103	2	5	4	4	NUM
ejpam-4103	2	6	,	,	PUNCT
ejpam-4103	2	7	2021	2021	NUM
ejpam-4103	2	8	,	,	PUNCT
ejpam-4103	2	9	1266	1266	NUM
ejpam-4103	2	10	-	-	SYM
ejpam-4103	2	11	1274	1274	NUM
ejpam-4103	2	12	issn	issn	PROPN
ejpam-4103	2	13	1307	1307	NUM
ejpam-4103	2	14	-	-	SYM
ejpam-4103	2	15	5543	5543	NUM
ejpam-4103	2	16	–	–	PUNCT
ejpam-4103	2	17	ejpam.com	ejpam.com	X
ejpam-4103	2	18	published	publish	VERB
ejpam-4103	2	19	by	by	ADP
ejpam-4103	2	20	new	new	PROPN
ejpam-4103	2	21	york	york	PROPN
ejpam-4103	2	22	business	business	PROPN
ejpam-4103	3	1	global	global	PROPN
ejpam-4103	3	2	a	a	DET
ejpam-4103	3	3	new	new	ADJ
ejpam-4103	3	4	technique	technique	NOUN
ejpam-4103	3	5	to	to	PART
ejpam-4103	3	6	speed	speed	VERB
ejpam-4103	3	7	up	up	ADP
ejpam-4103	3	8	group	group	NOUN
ejpam-4103	3	9	methods	method	NOUN
ejpam-4103	3	10	for	for	ADP
ejpam-4103	3	11	solving	solve	VERB
ejpam-4103	3	12	hyperbolic	hyperbolic	ADJ
ejpam-4103	3	13	telegraph	telegraph	NOUN
ejpam-4103	3	14	equations	equation	NOUN
ejpam-4103	3	15	abdulkafi	abdulkafi	PROPN
ejpam-4103	3	16	mohammed	mohammed	PROPN
ejpam-4103	3	17	saeed	saeed	PROPN
ejpam-4103	3	18	department	department	PROPN
ejpam-4103	3	19	of	of	ADP
ejpam-4103	3	20	mathematics	mathematics	PROPN
ejpam-4103	3	21	,	,	PUNCT
ejpam-4103	3	22	college	college	NOUN
ejpam-4103	3	23	of	of	ADP
ejpam-4103	3	24	science	science	NOUN
ejpam-4103	3	25	,	,	PUNCT
ejpam-4103	3	26	qassim	qassim	PROPN
ejpam-4103	3	27	university	university	PROPN
ejpam-4103	3	28	,	,	PUNCT
ejpam-4103	3	29	buraydah	buraydah	NOUN
ejpam-4103	3	30	,	,	PUNCT
ejpam-4103	3	31	kingdom	kingdom	NOUN
ejpam-4103	3	32	of	of	ADP
ejpam-4103	3	33	saudi	saudi	PROPN
ejpam-4103	3	34	arabia	arabia	PROPN
ejpam-4103	3	35	abstract	abstract	NOUN
ejpam-4103	3	36	.	.	PUNCT
ejpam-4103	4	1	numerous	numerous	ADJ
ejpam-4103	4	2	methods	method	NOUN
ejpam-4103	4	3	have	have	AUX
ejpam-4103	4	4	been	be	AUX
ejpam-4103	4	5	introduced	introduce	VERB
ejpam-4103	4	6	in	in	ADP
ejpam-4103	4	7	the	the	DET
ejpam-4103	4	8	literature	literature	NOUN
ejpam-4103	4	9	for	for	ADP
ejpam-4103	4	10	numerical	numerical	ADJ
ejpam-4103	4	11	solution	solution	NOUN
ejpam-4103	4	12	of	of	ADP
ejpam-4103	4	13	two	two	NUM
ejpam-4103	4	14	-	-	PUNCT
ejpam-4103	4	15	dimensional	dimensional	ADJ
ejpam-4103	4	16	hyperbolic	hyperbolic	ADJ
ejpam-4103	4	17	telegraph	telegraph	NOUN
ejpam-4103	4	18	equations	equation	NOUN
ejpam-4103	4	19	.	.	PUNCT
ejpam-4103	5	1	improved	improve	VERB
ejpam-4103	5	2	techniques	technique	NOUN
ejpam-4103	5	3	using	use	VERB
ejpam-4103	5	4	explicit	explicit	ADJ
ejpam-4103	5	5	group	group	NOUN
ejpam-4103	5	6	methods	method	NOUN
ejpam-4103	5	7	derived	derive	VERB
ejpam-4103	5	8	from	from	ADP
ejpam-4103	5	9	the	the	DET
ejpam-4103	5	10	standard	standard	NOUN
ejpam-4103	5	11	and	and	CCONJ
ejpam-4103	5	12	skewed	skewed	ADJ
ejpam-4103	5	13	(	(	PUNCT
ejpam-4103	5	14	rotated	rotated	ADJ
ejpam-4103	5	15	)	)	PUNCT
ejpam-4103	5	16	finite	finite	ADJ
ejpam-4103	5	17	difference	difference	NOUN
ejpam-4103	5	18	operators	operator	NOUN
ejpam-4103	5	19	have	have	AUX
ejpam-4103	5	20	been	be	AUX
ejpam-4103	5	21	developed	develop	VERB
ejpam-4103	5	22	over	over	ADP
ejpam-4103	5	23	the	the	DET
ejpam-4103	5	24	last	last	ADJ
ejpam-4103	5	25	few	few	ADJ
ejpam-4103	5	26	years	year	NOUN
ejpam-4103	5	27	in	in	ADP
ejpam-4103	5	28	solving	solve	VERB
ejpam-4103	5	29	the	the	DET
ejpam-4103	5	30	linear	linear	PROPN
ejpam-4103	5	31	systems	system	NOUN
ejpam-4103	5	32	that	that	PRON
ejpam-4103	5	33	arise	arise	VERB
ejpam-4103	5	34	from	from	ADP
ejpam-4103	5	35	the	the	DET
ejpam-4103	5	36	discretization	discretization	NOUN
ejpam-4103	5	37	of	of	ADP
ejpam-4103	5	38	the	the	DET
ejpam-4103	5	39	several	several	ADJ
ejpam-4103	5	40	types	type	NOUN
ejpam-4103	5	41	of	of	ADP
ejpam-4103	5	42	partial	partial	ADJ
ejpam-4103	5	43	differential	differential	ADJ
ejpam-4103	5	44	equations	equation	NOUN
ejpam-4103	5	45	.	.	PUNCT
ejpam-4103	6	1	the	the	DET
ejpam-4103	6	2	preconditioning	precondition	VERB
ejpam-4103	6	3	strategies	strategy	NOUN
ejpam-4103	6	4	play	play	VERB
ejpam-4103	6	5	a	a	DET
ejpam-4103	6	6	vital	vital	ADJ
ejpam-4103	6	7	role	role	NOUN
ejpam-4103	6	8	in	in	ADP
ejpam-4103	6	9	accelerating	accelerate	VERB
ejpam-4103	6	10	the	the	DET
ejpam-4103	6	11	convergence	convergence	NOUN
ejpam-4103	6	12	rates	rate	NOUN
ejpam-4103	6	13	of	of	ADP
ejpam-4103	6	14	these	these	DET
ejpam-4103	6	15	group	group	NOUN
ejpam-4103	6	16	iterative	iterative	NOUN
ejpam-4103	6	17	methods	method	NOUN
ejpam-4103	6	18	.	.	PUNCT
ejpam-4103	7	1	in	in	ADP
ejpam-4103	7	2	this	this	DET
ejpam-4103	7	3	paper	paper	NOUN
ejpam-4103	7	4	,	,	PUNCT
ejpam-4103	7	5	we	we	PRON
ejpam-4103	7	6	present	present	VERB
ejpam-4103	7	7	a	a	DET
ejpam-4103	7	8	preliminary	preliminary	ADJ
ejpam-4103	7	9	study	study	NOUN
ejpam-4103	7	10	of	of	ADP
ejpam-4103	7	11	the	the	DET
ejpam-4103	7	12	formulation	formulation	NOUN
ejpam-4103	7	13	of	of	ADP
ejpam-4103	7	14	new	new	ADJ
ejpam-4103	7	15	preconditioned	preconditioned	ADJ
ejpam-4103	7	16	scheme	scheme	NOUN
ejpam-4103	7	17	based	base	VERB
ejpam-4103	7	18	on	on	ADP
ejpam-4103	7	19	explicit	explicit	ADJ
ejpam-4103	7	20	group	group	NOUN
ejpam-4103	7	21	relaxation	relaxation	NOUN
ejpam-4103	7	22	methods	method	NOUN
ejpam-4103	7	23	for	for	ADP
ejpam-4103	7	24	the	the	DET
ejpam-4103	7	25	difference	difference	NOUN
ejpam-4103	7	26	solution	solution	NOUN
ejpam-4103	7	27	of	of	ADP
ejpam-4103	7	28	the	the	DET
ejpam-4103	7	29	telegraph	telegraph	NOUN
ejpam-4103	7	30	equations	equation	NOUN
ejpam-4103	7	31	.	.	PUNCT
ejpam-4103	8	1	the	the	DET
ejpam-4103	8	2	efficient	efficient	ADJ
ejpam-4103	8	3	and	and	CCONJ
ejpam-4103	8	4	robustness	robustness	NOUN
ejpam-4103	8	5	of	of	ADP
ejpam-4103	8	6	these	these	DET
ejpam-4103	8	7	new	new	ADJ
ejpam-4103	8	8	formulations	formulation	NOUN
ejpam-4103	8	9	over	over	ADP
ejpam-4103	8	10	the	the	DET
ejpam-4103	8	11	existing	exist	VERB
ejpam-4103	8	12	explicit	explicit	ADJ
ejpam-4103	8	13	group	group	NOUN
ejpam-4103	8	14	schemes	scheme	NOUN
ejpam-4103	8	15	demonstrated	demonstrate	VERB
ejpam-4103	8	16	through	through	ADP
ejpam-4103	8	17	numerical	numerical	ADJ
ejpam-4103	8	18	experiments	experiment	NOUN
ejpam-4103	8	19	.	.	PUNCT
ejpam-4103	9	1	2020	2020	NUM
ejpam-4103	9	2	mathematics	mathematic	NOUN
ejpam-4103	9	3	subject	subject	NOUN
ejpam-4103	9	4	classifications	classification	NOUN
ejpam-4103	9	5	:	:	PUNCT
ejpam-4103	9	6	35b30	35b30	NUM
ejpam-4103	9	7	,	,	PUNCT
ejpam-4103	9	8	35l10	35l10	NUM
ejpam-4103	9	9	,	,	PUNCT
ejpam-4103	9	10	35l20	35l20	NUM
ejpam-4103	9	11	,	,	PUNCT
ejpam-4103	9	12	65m06	65m06	NUM
ejpam-4103	9	13	,	,	PUNCT
ejpam-4103	9	14	65n06	65n06	PRON
ejpam-4103	9	15	key	key	ADJ
ejpam-4103	9	16	words	word	NOUN
ejpam-4103	9	17	and	and	CCONJ
ejpam-4103	9	18	phrases	phrase	NOUN
ejpam-4103	9	19	:	:	PUNCT
ejpam-4103	9	20	preconditioned	preconditioned	ADJ
ejpam-4103	9	21	technique	technique	NOUN
ejpam-4103	9	22	,	,	PUNCT
ejpam-4103	9	23	finite	finite	ADJ
ejpam-4103	9	24	difference	difference	NOUN
ejpam-4103	9	25	method	method	NOUN
ejpam-4103	9	26	,	,	PUNCT
ejpam-4103	9	27	group	group	NOUN
ejpam-4103	9	28	iterative	iterative	NOUN
ejpam-4103	9	29	method	method	NOUN
ejpam-4103	9	30	,	,	PUNCT
ejpam-4103	9	31	telegraph	telegraph	NOUN
ejpam-4103	9	32	equations	equation	NOUN
ejpam-4103	9	33	1	1	NUM
ejpam-4103	9	34	.	.	PUNCT
ejpam-4103	9	35	introduction	introduction	NOUN
ejpam-4103	9	36	the	the	DET
ejpam-4103	9	37	group	group	NOUN
ejpam-4103	9	38	methods	method	NOUN
ejpam-4103	9	39	depend	depend	VERB
ejpam-4103	9	40	on	on	ADP
ejpam-4103	9	41	rotated	rotate	VERB
ejpam-4103	9	42	finite	finite	ADJ
ejpam-4103	9	43	difference	difference	NOUN
ejpam-4103	9	44	operator	operator	NOUN
ejpam-4103	9	45	were	be	AUX
ejpam-4103	9	46	shown	show	VERB
ejpam-4103	9	47	to	to	PART
ejpam-4103	9	48	require	require	VERB
ejpam-4103	9	49	less	less	ADJ
ejpam-4103	9	50	execution	execution	NOUN
ejpam-4103	9	51	time	time	NOUN
ejpam-4103	9	52	requirements	requirement	NOUN
ejpam-4103	9	53	than	than	ADP
ejpam-4103	9	54	the	the	DET
ejpam-4103	9	55	common	common	ADJ
ejpam-4103	9	56	point	point	NOUN
ejpam-4103	9	57	iterative	iterative	NOUN
ejpam-4103	9	58	methods	method	NOUN
ejpam-4103	9	59	based	base	VERB
ejpam-4103	9	60	on	on	ADP
ejpam-4103	9	61	the	the	DET
ejpam-4103	9	62	centered	center	VERB
ejpam-4103	9	63	difference	difference	NOUN
ejpam-4103	9	64	approximations	approximation	NOUN
ejpam-4103	9	65	for	for	ADP
ejpam-4103	9	66	solving	solve	VERB
ejpam-4103	9	67	partial	partial	ADJ
ejpam-4103	9	68	differential	differential	ADJ
ejpam-4103	9	69	equations	equation	NOUN
ejpam-4103	9	70	(	(	PUNCT
ejpam-4103	9	71	pdes	pde	NOUN
ejpam-4103	9	72	)	)	PUNCT
ejpam-4103	10	1	[	[	X
ejpam-4103	10	2	1	1	NUM
ejpam-4103	10	3	,	,	PUNCT
ejpam-4103	10	4	12	12	NUM
ejpam-4103	10	5	–	–	PUNCT
ejpam-4103	10	6	14	14	NUM
ejpam-4103	10	7	,	,	PUNCT
ejpam-4103	10	8	20	20	NUM
ejpam-4103	10	9	,	,	PUNCT
ejpam-4103	10	10	21	21	NUM
ejpam-4103	10	11	]	]	PUNCT
ejpam-4103	10	12	.	.	PUNCT
ejpam-4103	11	1	in	in	ADP
ejpam-4103	11	2	addition	addition	NOUN
ejpam-4103	11	3	,	,	PUNCT
ejpam-4103	11	4	the	the	DET
ejpam-4103	11	5	methods	method	NOUN
ejpam-4103	11	6	of	of	ADP
ejpam-4103	11	7	the	the	DET
ejpam-4103	11	8	meshless	meshless	ADJ
ejpam-4103	11	9	local	local	ADJ
ejpam-4103	11	10	weak	weak	ADJ
ejpam-4103	11	11	-	-	PUNCT
ejpam-4103	11	12	strong	strong	ADJ
ejpam-4103	11	13	forms	form	NOUN
ejpam-4103	11	14	combined	combine	VERB
ejpam-4103	11	15	with	with	ADP
ejpam-4103	11	16	the	the	DET
ejpam-4103	11	17	meshless	meshless	ADJ
ejpam-4103	11	18	local	local	ADJ
ejpam-4103	11	19	petrov	petrov	PROPN
ejpam-4103	11	20	-	-	PUNCT
ejpam-4103	11	21	galerkin	galerkin	PROPN
ejpam-4103	11	22	are	be	AUX
ejpam-4103	11	23	used	use	VERB
ejpam-4103	11	24	to	to	PART
ejpam-4103	11	25	solve	solve	VERB
ejpam-4103	11	26	2d	2d	NUM
ejpam-4103	11	27	linear	linear	ADJ
ejpam-4103	11	28	hyperbolic	hyperbolic	ADJ
ejpam-4103	11	29	equation	equation	NOUN
ejpam-4103	11	30	by	by	ADP
ejpam-4103	11	31	dehghan	dehghan	PROPN
ejpam-4103	11	32	and	and	CCONJ
ejpam-4103	11	33	ghesmati	ghesmati	NOUN
ejpam-4103	12	1	[	[	X
ejpam-4103	12	2	6	6	NUM
ejpam-4103	12	3	]	]	PUNCT
ejpam-4103	12	4	.	.	PUNCT
ejpam-4103	13	1	besides	besides	SCONJ
ejpam-4103	13	2	,	,	PUNCT
ejpam-4103	13	3	the	the	DET
ejpam-4103	13	4	operator	operator	NOUN
ejpam-4103	13	5	splitting	splitting	NOUN
ejpam-4103	13	6	method	method	NOUN
ejpam-4103	13	7	and	and	CCONJ
ejpam-4103	13	8	the	the	DET
ejpam-4103	13	9	spectral	spectral	ADJ
ejpam-4103	13	10	galerkin	galerkin	ADJ
ejpam-4103	13	11	method	method	NOUN
ejpam-4103	13	12	have	have	AUX
ejpam-4103	13	13	been	be	AUX
ejpam-4103	13	14	developed	develop	VERB
ejpam-4103	13	15	and	and	CCONJ
ejpam-4103	13	16	applied	apply	VERB
ejpam-4103	13	17	for	for	ADP
ejpam-4103	13	18	solving	solve	VERB
ejpam-4103	13	19	two	two	NUM
ejpam-4103	13	20	dimensional	dimensional	ADJ
ejpam-4103	13	21	hyperbolic	hyperbolic	ADJ
ejpam-4103	13	22	equation	equation	NOUN
ejpam-4103	13	23	[	[	X
ejpam-4103	13	24	8	8	NUM
ejpam-4103	13	25	,	,	PUNCT
ejpam-4103	13	26	10	10	NUM
ejpam-4103	13	27	]	]	PUNCT
ejpam-4103	13	28	.	.	PUNCT
ejpam-4103	14	1	it	it	PRON
ejpam-4103	14	2	is	be	AUX
ejpam-4103	14	3	well	well	ADV
ejpam-4103	14	4	known	know	VERB
ejpam-4103	14	5	that	that	SCONJ
ejpam-4103	14	6	preconditioners	preconditioner	NOUN
ejpam-4103	14	7	play	play	VERB
ejpam-4103	14	8	a	a	DET
ejpam-4103	14	9	vital	vital	ADJ
ejpam-4103	14	10	role	role	NOUN
ejpam-4103	14	11	in	in	ADP
ejpam-4103	14	12	accelerating	accelerate	VERB
ejpam-4103	14	13	the	the	DET
ejpam-4103	14	14	convergence	convergence	NOUN
ejpam-4103	14	15	rates	rate	NOUN
ejpam-4103	14	16	of	of	ADP
ejpam-4103	14	17	iterative	iterative	ADJ
ejpam-4103	14	18	methods	method	NOUN
ejpam-4103	14	19	,	,	PUNCT
ejpam-4103	14	20	several	several	ADJ
ejpam-4103	14	21	preconditioned	preconditioned	ADJ
ejpam-4103	14	22	strategies	strategy	NOUN
ejpam-4103	14	23	have	have	AUX
ejpam-4103	14	24	been	be	AUX
ejpam-4103	14	25	used	use	VERB
ejpam-4103	14	26	for	for	ADP
ejpam-4103	14	27	improving	improve	VERB
ejpam-4103	14	28	the	the	DET
ejpam-4103	14	29	convergence	convergence	NOUN
ejpam-4103	14	30	rate	rate	NOUN
ejpam-4103	14	31	of	of	ADP
ejpam-4103	14	32	the	the	DET
ejpam-4103	14	33	explicit	explicit	ADJ
ejpam-4103	14	34	group	group	NOUN
ejpam-4103	14	35	methods	method	NOUN
ejpam-4103	14	36	derived	derive	VERB
ejpam-4103	14	37	from	from	ADP
ejpam-4103	14	38	the	the	DET
ejpam-4103	14	39	standard	standard	NOUN
ejpam-4103	14	40	and	and	CCONJ
ejpam-4103	14	41	skewed	skewed	ADJ
ejpam-4103	14	42	(	(	PUNCT
ejpam-4103	14	43	rotated	rotated	ADJ
ejpam-4103	14	44	)	)	PUNCT
ejpam-4103	14	45	finite	finite	ADJ
ejpam-4103	14	46	difference	difference	NOUN
ejpam-4103	14	47	operators	operator	NOUN
ejpam-4103	14	48	[	[	X
ejpam-4103	14	49	2–5	2–5	NOUN
ejpam-4103	14	50	,	,	PUNCT
ejpam-4103	14	51	15	15	NUM
ejpam-4103	14	52	,	,	PUNCT
ejpam-4103	14	53	17–19	17–19	NUM
ejpam-4103	14	54	]	]	PUNCT
ejpam-4103	14	55	.	.	PUNCT
ejpam-4103	15	1	based	base	VERB
ejpam-4103	15	2	on	on	ADP
ejpam-4103	15	3	the	the	DET
ejpam-4103	15	4	existing	exist	VERB
ejpam-4103	15	5	preconditioning	precondition	VERB
ejpam-4103	15	6	strategies	strategy	NOUN
ejpam-4103	15	7	and	and	CCONJ
ejpam-4103	15	8	by	by	ADP
ejpam-4103	15	9	combining	combine	VERB
ejpam-4103	15	10	several	several	ADJ
ejpam-4103	15	11	categories	category	NOUN
ejpam-4103	15	12	of	of	ADP
ejpam-4103	15	13	preconditioning	precondition	VERB
ejpam-4103	15	14	doi	doi	NOUN
ejpam-4103	15	15	:	:	PUNCT
ejpam-4103	15	16	https://doi.org/10.29020/nybg.ejpam.v14i4.4103	https://doi.org/10.29020/nybg.ejpam.v14i4.4103	NOUN
ejpam-4103	15	17	email	email	NOUN
ejpam-4103	15	18	address	address	NOUN
ejpam-4103	15	19	:	:	PUNCT
ejpam-4103	15	20	abdulkafi.ahmed@qu.edu.sa	abdulkafi.ahmed@qu.edu.sa	PROPN
ejpam-4103	15	21	(	(	PUNCT
ejpam-4103	15	22	a.m.	a.m.	PROPN
ejpam-4103	15	23	saeed	saeed	PROPN
ejpam-4103	15	24	)	)	PUNCT
ejpam-4103	15	25	http://www.ejpam.com	http://www.ejpam.com	AUX
ejpam-4103	16	1	1266	1266	NUM
ejpam-4103	17	1	©	©	PROPN
ejpam-4103	17	2	2021	2021	NUM
ejpam-4103	17	3	ejpam	ejpam	VERB
ejpam-4103	17	4	all	all	DET
ejpam-4103	17	5	rights	right	NOUN
ejpam-4103	17	6	reserved	reserve	VERB
ejpam-4103	17	7	.	.	PUNCT
ejpam-4103	18	1	a.	a.	PROPN
ejpam-4103	18	2	m.	m.	PROPN
ejpam-4103	18	3	saeed	saeed	PROPN
ejpam-4103	18	4	/	/	SYM
ejpam-4103	18	5	eur	eur	PROPN
ejpam-4103	18	6	.	.	PUNCT
ejpam-4103	19	1	j.	j.	PROPN
ejpam-4103	19	2	pure	pure	PROPN
ejpam-4103	19	3	appl	appl	PROPN
ejpam-4103	19	4	.	.	PROPN
ejpam-4103	19	5	math	math	PROPN
ejpam-4103	19	6	,	,	PUNCT
ejpam-4103	19	7	14	14	NUM
ejpam-4103	19	8	(	(	PUNCT
ejpam-4103	19	9	4	4	NUM
ejpam-4103	19	10	)	)	PUNCT
ejpam-4103	19	11	(	(	PUNCT
ejpam-4103	19	12	2021	2021	NUM
ejpam-4103	19	13	)	)	PUNCT
ejpam-4103	19	14	,	,	PUNCT
ejpam-4103	19	15	1266	1266	NUM
ejpam-4103	19	16	-	-	SYM
ejpam-4103	19	17	1274	1274	NUM
ejpam-4103	19	18	1267	1267	NUM
ejpam-4103	19	19	techniques	technique	NOUN
ejpam-4103	20	1	,	,	PUNCT
ejpam-4103	20	2	we	we	PRON
ejpam-4103	20	3	propose	propose	VERB
ejpam-4103	20	4	a	a	DET
ejpam-4103	20	5	new	new	ADJ
ejpam-4103	20	6	preconditioning	precondition	VERB
ejpam-4103	20	7	matrix	matrix	NOUN
ejpam-4103	20	8	in	in	ADP
ejpam-4103	20	9	block	block	NOUN
ejpam-4103	20	10	formulation	formulation	NOUN
ejpam-4103	20	11	to	to	PART
ejpam-4103	20	12	suit	suit	VERB
ejpam-4103	20	13	the	the	DET
ejpam-4103	20	14	structure	structure	NOUN
ejpam-4103	20	15	of	of	ADP
ejpam-4103	20	16	the	the	DET
ejpam-4103	20	17	explicit	explicit	ADJ
ejpam-4103	20	18	group	group	NOUN
ejpam-4103	20	19	formula	formula	NOUN
ejpam-4103	20	20	for	for	ADP
ejpam-4103	20	21	solving	solve	VERB
ejpam-4103	20	22	telegraph	telegraph	NOUN
ejpam-4103	20	23	equations	equation	NOUN
ejpam-4103	20	24	.	.	PUNCT
ejpam-4103	21	1	in	in	ADP
ejpam-4103	21	2	the	the	DET
ejpam-4103	21	3	following	follow	VERB
ejpam-4103	21	4	sections	section	NOUN
ejpam-4103	21	5	of	of	ADP
ejpam-4103	21	6	this	this	DET
ejpam-4103	21	7	research	research	NOUN
ejpam-4103	21	8	,	,	PUNCT
ejpam-4103	21	9	we	we	PRON
ejpam-4103	21	10	will	will	AUX
ejpam-4103	21	11	study	study	VERB
ejpam-4103	21	12	and	and	CCONJ
ejpam-4103	21	13	discuss	discuss	VERB
ejpam-4103	21	14	the	the	DET
ejpam-4103	21	15	formulation	formulation	NOUN
ejpam-4103	21	16	of	of	ADP
ejpam-4103	21	17	two	two	NUM
ejpam-4103	21	18	types	type	NOUN
ejpam-4103	21	19	of	of	ADP
ejpam-4103	21	20	explicit	explicit	ADJ
ejpam-4103	21	21	group	group	NOUN
ejpam-4103	21	22	methods	method	NOUN
ejpam-4103	21	23	which	which	PRON
ejpam-4103	21	24	are	be	AUX
ejpam-4103	21	25	called	call	VERB
ejpam-4103	21	26	explicit	explicit	ADJ
ejpam-4103	21	27	group	group	NOUN
ejpam-4103	21	28	(	(	PUNCT
ejpam-4103	21	29	eg	eg	NOUN
ejpam-4103	21	30	)	)	PUNCT
ejpam-4103	21	31	method	method	NOUN
ejpam-4103	21	32	and	and	CCONJ
ejpam-4103	21	33	explicit	explicit	ADJ
ejpam-4103	21	34	decoupled	decoupled	ADJ
ejpam-4103	21	35	group(edg	group(edg	NOUN
ejpam-4103	21	36	)	)	PUNCT
ejpam-4103	21	37	method	method	NOUN
ejpam-4103	21	38	for	for	ADP
ejpam-4103	21	39	solving	solve	VERB
ejpam-4103	21	40	telegraph	telegraph	NOUN
ejpam-4103	21	41	equations	equation	NOUN
ejpam-4103	21	42	.	.	PUNCT
ejpam-4103	22	1	these	these	DET
ejpam-4103	22	2	iterative	iterative	NOUN
ejpam-4103	22	3	methods	method	NOUN
ejpam-4103	22	4	depend	depend	VERB
ejpam-4103	22	5	on	on	ADP
ejpam-4103	22	6	standard	standard	ADJ
ejpam-4103	22	7	and	and	CCONJ
ejpam-4103	22	8	rotated	rotate	VERB
ejpam-4103	22	9	point	point	NOUN
ejpam-4103	22	10	iterative	iterative	NOUN
ejpam-4103	22	11	schemes	scheme	NOUN
ejpam-4103	22	12	respectively	respectively	ADV
ejpam-4103	22	13	.	.	PUNCT
ejpam-4103	23	1	furthermore	furthermore	ADV
ejpam-4103	23	2	,	,	PUNCT
ejpam-4103	23	3	the	the	DET
ejpam-4103	23	4	improvement	improvement	NOUN
ejpam-4103	23	5	of	of	ADP
ejpam-4103	23	6	the	the	DET
ejpam-4103	23	7	mentioned	mention	VERB
ejpam-4103	23	8	group	group	NOUN
ejpam-4103	23	9	methods	method	NOUN
ejpam-4103	23	10	using	use	VERB
ejpam-4103	23	11	preconditioning	precondition	VERB
ejpam-4103	23	12	strategies	strategy	NOUN
ejpam-4103	23	13	will	will	AUX
ejpam-4103	23	14	be	be	AUX
ejpam-4103	23	15	introduced	introduce	VERB
ejpam-4103	23	16	.	.	PUNCT
ejpam-4103	24	1	this	this	DET
ejpam-4103	24	2	paper	paper	NOUN
ejpam-4103	24	3	is	be	AUX
ejpam-4103	24	4	organised	organise	VERB
ejpam-4103	24	5	as	as	SCONJ
ejpam-4103	24	6	follows	follow	VERB
ejpam-4103	24	7	:	:	PUNCT
ejpam-4103	24	8	in	in	ADP
ejpam-4103	24	9	section	section	NOUN
ejpam-4103	24	10	2	2	NUM
ejpam-4103	24	11	,	,	PUNCT
ejpam-4103	24	12	we	we	PRON
ejpam-4103	24	13	give	give	VERB
ejpam-4103	24	14	a	a	DET
ejpam-4103	24	15	presentation	presentation	NOUN
ejpam-4103	24	16	of	of	ADP
ejpam-4103	24	17	the	the	DET
ejpam-4103	24	18	formulation	formulation	NOUN
ejpam-4103	24	19	of	of	ADP
ejpam-4103	24	20	explicit	explicit	ADJ
ejpam-4103	24	21	group	group	NOUN
ejpam-4103	24	22	iterative	iterative	NOUN
ejpam-4103	24	23	methods	method	NOUN
ejpam-4103	24	24	such	such	ADJ
ejpam-4103	24	25	as	as	ADP
ejpam-4103	24	26	eg	eg	NOUN
ejpam-4103	24	27	and	and	CCONJ
ejpam-4103	24	28	edg	edg	NOUN
ejpam-4103	24	29	for	for	ADP
ejpam-4103	24	30	solving	solve	VERB
ejpam-4103	24	31	telegraph	telegraph	NOUN
ejpam-4103	24	32	equations	equation	NOUN
ejpam-4103	24	33	.	.	PUNCT
ejpam-4103	25	1	the	the	DET
ejpam-4103	25	2	proposed	propose	VERB
ejpam-4103	25	3	application	application	NOUN
ejpam-4103	25	4	of	of	ADP
ejpam-4103	25	5	the	the	DET
ejpam-4103	25	6	preconditioner	preconditioner	NOUN
ejpam-4103	25	7	in	in	ADP
ejpam-4103	25	8	block	block	NOUN
ejpam-4103	25	9	formulation	formulation	NOUN
ejpam-4103	25	10	to	to	ADP
ejpam-4103	25	11	the	the	DET
ejpam-4103	25	12	eg	eg	NOUN
ejpam-4103	25	13	and	and	CCONJ
ejpam-4103	25	14	edg	edg	NOUN
ejpam-4103	25	15	is	be	AUX
ejpam-4103	25	16	given	give	VERB
ejpam-4103	25	17	in	in	ADP
ejpam-4103	25	18	section	section	NOUN
ejpam-4103	25	19	3	3	NUM
ejpam-4103	25	20	.	.	PUNCT
ejpam-4103	26	1	in	in	ADP
ejpam-4103	26	2	section	section	NOUN
ejpam-4103	26	3	4	4	NUM
ejpam-4103	26	4	,	,	PUNCT
ejpam-4103	26	5	the	the	DET
ejpam-4103	26	6	numerical	numerical	ADJ
ejpam-4103	26	7	examples	example	NOUN
ejpam-4103	26	8	to	to	PART
ejpam-4103	26	9	confirm	confirm	VERB
ejpam-4103	26	10	the	the	DET
ejpam-4103	26	11	results	result	NOUN
ejpam-4103	26	12	obtained	obtain	VERB
ejpam-4103	26	13	will	will	AUX
ejpam-4103	26	14	be	be	AUX
ejpam-4103	26	15	presented	present	VERB
ejpam-4103	26	16	.	.	PUNCT
ejpam-4103	27	1	finally	finally	ADV
ejpam-4103	27	2	,	,	PUNCT
ejpam-4103	27	3	we	we	PRON
ejpam-4103	27	4	report	report	VERB
ejpam-4103	27	5	a	a	DET
ejpam-4103	27	6	brief	brief	ADJ
ejpam-4103	27	7	conclusion	conclusion	NOUN
ejpam-4103	27	8	in	in	ADP
ejpam-4103	27	9	section	section	NOUN
ejpam-4103	27	10	5	5	NUM
ejpam-4103	27	11	.	.	NOUN
ejpam-4103	27	12	2	2	NUM
ejpam-4103	27	13	.	.	X
ejpam-4103	27	14	explicit	explicit	ADJ
ejpam-4103	27	15	group(eg	group(eg	ADJ
ejpam-4103	27	16	-	-	PUNCT
ejpam-4103	27	17	edg)methods	edg)method	NOUN
ejpam-4103	27	18	consider	consider	VERB
ejpam-4103	27	19	the	the	DET
ejpam-4103	27	20	telegraph	telegraph	NOUN
ejpam-4103	27	21	equation	equation	NOUN
ejpam-4103	27	22	defined	define	VERB
ejpam-4103	27	23	in	in	ADP
ejpam-4103	27	24	the	the	DET
ejpam-4103	27	25	region	region	NOUN
ejpam-4103	27	26	ω	ω	PROPN
ejpam-4103	27	27	=	=	SYM
ejpam-4103	27	28	{	{	PUNCT
ejpam-4103	27	29	(	(	PUNCT
ejpam-4103	27	30	x	x	NOUN
ejpam-4103	27	31	,	,	PUNCT
ejpam-4103	27	32	y	y	PROPN
ejpam-4103	27	33	,	,	PUNCT
ejpam-4103	27	34	t	t	PROPN
ejpam-4103	27	35	)	)	PUNCT
ejpam-4103	27	36	:	:	PUNCT
ejpam-4103	27	37	0	0	PUNCT
ejpam-4103	27	38	<	<	X
ejpam-4103	27	39	x	x	X
ejpam-4103	27	40	,	,	PUNCT
ejpam-4103	27	41	y	y	PROPN
ejpam-4103	27	42	<	<	X
ejpam-4103	27	43	1	1	NUM
ejpam-4103	27	44	,	,	PUNCT
ejpam-4103	27	45	t	t	X
ejpam-4103	27	46	>	>	X
ejpam-4103	27	47	0	0	NUM
ejpam-4103	27	48	}	}	PUNCT
ejpam-4103	27	49	of	of	ADP
ejpam-4103	27	50	the	the	DET
ejpam-4103	27	51	following	follow	VERB
ejpam-4103	27	52	form	form	NOUN
ejpam-4103	27	53	[	[	X
ejpam-4103	27	54	7	7	NUM
ejpam-4103	27	55	]	]	SYM
ejpam-4103	27	56	:	:	PUNCT
ejpam-4103	27	57	∂2u	∂2u	ADJ
ejpam-4103	27	58	∂t2	∂t2	PROPN
ejpam-4103	27	59	+	+	CCONJ
ejpam-4103	27	60	2α(x	2α(x	NUM
ejpam-4103	27	61	,	,	PUNCT
ejpam-4103	27	62	y	y	PROPN
ejpam-4103	27	63	,	,	PUNCT
ejpam-4103	27	64	t)∂u	t)∂u	PROPN
ejpam-4103	27	65	∂t	∂t	PROPN
ejpam-4103	27	66	+	+	CCONJ
ejpam-4103	27	67	β2(x	β2(x	PROPN
ejpam-4103	27	68	,	,	PUNCT
ejpam-4103	27	69	y	y	PROPN
ejpam-4103	27	70	,	,	PUNCT
ejpam-4103	27	71	t	t	PROPN
ejpam-4103	27	72	)	)	PUNCT
ejpam-4103	27	73	=	=	SYM
ejpam-4103	28	1	l(x	l(x	PROPN
ejpam-4103	28	2	,	,	PUNCT
ejpam-4103	28	3	y	y	NOUN
ejpam-4103	28	4	,	,	PUNCT
ejpam-4103	28	5	t)∂2u	t)∂2u	ADJ
ejpam-4103	28	6	∂x2	∂x2	NOUN
ejpam-4103	28	7	+	+	CCONJ
ejpam-4103	28	8	m(x	m(x	PROPN
ejpam-4103	28	9	,	,	PUNCT
ejpam-4103	28	10	y	y	NOUN
ejpam-4103	28	11	,	,	PUNCT
ejpam-4103	28	12	t)∂2u	t)∂2u	ADJ
ejpam-4103	28	13	∂y2	∂y2	PROPN
ejpam-4103	28	14	+	+	NUM
ejpam-4103	28	15	f	f	X
ejpam-4103	28	16	(	(	PUNCT
ejpam-4103	28	17	x	x	X
ejpam-4103	28	18	,	,	PUNCT
ejpam-4103	28	19	y	y	PROPN
ejpam-4103	28	20	,	,	PUNCT
ejpam-4103	28	21	t	t	PROPN
ejpam-4103	28	22	)	)	PUNCT
ejpam-4103	28	23	(	(	PUNCT
ejpam-4103	28	24	1	1	X
ejpam-4103	28	25	)	)	PUNCT
ejpam-4103	28	26	where	where	SCONJ
ejpam-4103	28	27	α(x	α(x	NOUN
ejpam-4103	28	28	,	,	PUNCT
ejpam-4103	28	29	y	y	PROPN
ejpam-4103	28	30	,	,	PUNCT
ejpam-4103	28	31	t	t	PROPN
ejpam-4103	28	32	)	)	PUNCT
ejpam-4103	28	33	>	>	X
ejpam-4103	28	34	0	0	NUM
ejpam-4103	28	35	,	,	PUNCT
ejpam-4103	28	36	β(x	β(x	PROPN
ejpam-4103	28	37	,	,	PUNCT
ejpam-4103	28	38	y	y	PROPN
ejpam-4103	28	39	,	,	PUNCT
ejpam-4103	28	40	t	t	PROPN
ejpam-4103	28	41	)	)	PUNCT
ejpam-4103	28	42	≥	≥	NOUN
ejpam-4103	28	43	0	0	NUM
ejpam-4103	28	44	,	,	PUNCT
ejpam-4103	28	45	l(x	l(x	PROPN
ejpam-4103	28	46	,	,	PUNCT
ejpam-4103	28	47	y	y	PROPN
ejpam-4103	28	48	,	,	PUNCT
ejpam-4103	28	49	t	t	PROPN
ejpam-4103	28	50	)	)	PUNCT
ejpam-4103	28	51	>	>	X
ejpam-4103	28	52	0	0	NUM
ejpam-4103	28	53	,	,	PUNCT
ejpam-4103	28	54	m(x	m(x	PROPN
ejpam-4103	28	55	,	,	PUNCT
ejpam-4103	28	56	y	y	PROPN
ejpam-4103	28	57	,	,	PUNCT
ejpam-4103	28	58	t	t	PROPN
ejpam-4103	28	59	)	)	PUNCT
ejpam-4103	28	60	>	>	X
ejpam-4103	28	61	0	0	X
ejpam-4103	28	62	.	.	PUNCT
ejpam-4103	29	1	the	the	DET
ejpam-4103	29	2	initial	initial	ADJ
ejpam-4103	29	3	and	and	CCONJ
ejpam-4103	29	4	boundary	boundary	ADJ
ejpam-4103	29	5	conditions	condition	NOUN
ejpam-4103	29	6	are	be	AUX
ejpam-4103	29	7	given	give	VERB
ejpam-4103	29	8	by	by	ADP
ejpam-4103	29	9	u(x	u(x	NOUN
ejpam-4103	29	10	,	,	PUNCT
ejpam-4103	29	11	y	y	PROPN
ejpam-4103	29	12	,	,	PUNCT
ejpam-4103	29	13	0	0	NUM
ejpam-4103	29	14	)	)	PUNCT
ejpam-4103	30	1	=	=	SYM
ejpam-4103	30	2	f1(x	f1(x	PROPN
ejpam-4103	30	3	,	,	PUNCT
ejpam-4103	30	4	y	y	PROPN
ejpam-4103	30	5	)	)	PUNCT
ejpam-4103	30	6	;	;	PUNCT
ejpam-4103	30	7	∂u	∂u	PROPN
ejpam-4103	30	8	∂t	∂t	PROPN
ejpam-4103	30	9	(	(	PUNCT
ejpam-4103	30	10	x	x	PROPN
ejpam-4103	30	11	,	,	PUNCT
ejpam-4103	30	12	y	y	PROPN
ejpam-4103	30	13	,	,	PUNCT
ejpam-4103	30	14	0	0	NUM
ejpam-4103	30	15	)	)	PUNCT
ejpam-4103	30	16	=	=	SYM
ejpam-4103	31	1	f2(x	f2(x	PROPN
ejpam-4103	31	2	,	,	PUNCT
ejpam-4103	31	3	y	y	PROPN
ejpam-4103	31	4	)	)	PUNCT
ejpam-4103	31	5	;	;	PUNCT
ejpam-4103	31	6	u(0	u(0	PROPN
ejpam-4103	31	7	,	,	PUNCT
ejpam-4103	31	8	y	y	PROPN
ejpam-4103	31	9	,	,	PUNCT
ejpam-4103	31	10	t	t	PROPN
ejpam-4103	31	11	)	)	PUNCT
ejpam-4103	31	12	=	=	SYM
ejpam-4103	32	1	f3(y	f3(y	PROPN
ejpam-4103	32	2	,	,	PUNCT
ejpam-4103	32	3	t	t	PROPN
ejpam-4103	32	4	)	)	PUNCT
ejpam-4103	32	5	;	;	PUNCT
ejpam-4103	33	1	u(1	u(1	PROPN
ejpam-4103	33	2	,	,	PUNCT
ejpam-4103	33	3	y	y	PROPN
ejpam-4103	33	4	,	,	PUNCT
ejpam-4103	33	5	t	t	PROPN
ejpam-4103	33	6	)	)	PUNCT
ejpam-4103	33	7	=	=	PUNCT
ejpam-4103	33	8	f4(y	f4(y	PROPN
ejpam-4103	33	9	,	,	PUNCT
ejpam-4103	33	10	t	t	PROPN
ejpam-4103	33	11	)	)	PUNCT
ejpam-4103	33	12	;	;	PUNCT
ejpam-4103	33	13	u(x	u(x	PROPN
ejpam-4103	33	14	,	,	PUNCT
ejpam-4103	33	15	0	0	NUM
ejpam-4103	33	16	,	,	PUNCT
ejpam-4103	33	17	t	t	PROPN
ejpam-4103	33	18	)	)	PUNCT
ejpam-4103	33	19	=	=	SYM
ejpam-4103	34	1	f5(y	f5(y	PROPN
ejpam-4103	34	2	,	,	PUNCT
ejpam-4103	34	3	t	t	PROPN
ejpam-4103	34	4	)	)	PUNCT
ejpam-4103	34	5	;	;	PUNCT
ejpam-4103	34	6	u(x	u(x	PROPN
ejpam-4103	34	7	,	,	PUNCT
ejpam-4103	34	8	1	1	NUM
ejpam-4103	34	9	,	,	PUNCT
ejpam-4103	34	10	t	t	PROPN
ejpam-4103	34	11	)	)	PUNCT
ejpam-4103	34	12	=	=	SYM
ejpam-4103	34	13	f6(y	f6(y	PROPN
ejpam-4103	34	14	,	,	PUNCT
ejpam-4103	34	15	t	t	PROPN
ejpam-4103	34	16	)	)	PUNCT
ejpam-4103	34	17	.	.	PUNCT
ejpam-4103	35	1	let	let	VERB
ejpam-4103	35	2	k	k	PRON
ejpam-4103	35	3	>	>	X
ejpam-4103	35	4	0	0	PUNCT
ejpam-4103	36	1	and	and	CCONJ
ejpam-4103	36	2	h	h	NOUN
ejpam-4103	36	3	>	>	X
ejpam-4103	36	4	0	0	PUNCT
ejpam-4103	36	5	be	be	AUX
ejpam-4103	36	6	the	the	DET
ejpam-4103	36	7	time	time	NOUN
ejpam-4103	36	8	step	step	NOUN
ejpam-4103	36	9	and	and	CCONJ
ejpam-4103	36	10	space	space	NOUN
ejpam-4103	36	11	step	step	NOUN
ejpam-4103	36	12	respectively	respectively	ADV
ejpam-4103	36	13	.	.	PUNCT
ejpam-4103	37	1	we	we	PRON
ejpam-4103	37	2	divide	divide	VERB
ejpam-4103	37	3	the	the	DET
ejpam-4103	37	4	interval	interval	NOUN
ejpam-4103	37	5	0	0	NUM
ejpam-4103	37	6	≤	≤	NUM
ejpam-4103	37	7	x	x	X
ejpam-4103	37	8	,	,	PUNCT
ejpam-4103	37	9	y	y	PROPN
ejpam-4103	37	10	≤	≤	ADV
ejpam-4103	37	11	1	1	NUM
ejpam-4103	37	12	into	into	ADP
ejpam-4103	37	13	(	(	PUNCT
ejpam-4103	37	14	n	n	X
ejpam-4103	37	15	+	+	CCONJ
ejpam-4103	37	16	1	1	X
ejpam-4103	37	17	)	)	PUNCT
ejpam-4103	37	18	subinterval	subinterval	NOUN
ejpam-4103	37	19	and	and	CCONJ
ejpam-4103	37	20	the	the	DET
ejpam-4103	37	21	grid	grid	NOUN
ejpam-4103	37	22	points	point	NOUN
ejpam-4103	37	23	are	be	AUX
ejpam-4103	37	24	given	give	VERB
ejpam-4103	37	25	by	by	ADP
ejpam-4103	37	26	(	(	PUNCT
ejpam-4103	37	27	xi	xi	PROPN
ejpam-4103	37	28	,	,	PUNCT
ejpam-4103	37	29	yj	yj	PROPN
ejpam-4103	37	30	,	,	PUNCT
ejpam-4103	37	31	tm	tm	NOUN
ejpam-4103	37	32	)	)	PUNCT
ejpam-4103	37	33	=	=	PUNCT
ejpam-4103	37	34	(	(	PUNCT
ejpam-4103	37	35	ih	ih	X
ejpam-4103	37	36	,	,	PUNCT
ejpam-4103	37	37	jh	jh	PROPN
ejpam-4103	37	38	,	,	PUNCT
ejpam-4103	37	39	mk	mk	PROPN
ejpam-4103	37	40	)	)	PUNCT
ejpam-4103	37	41	where	where	SCONJ
ejpam-4103	37	42	m	m	VERB
ejpam-4103	37	43	=	=	SYM
ejpam-4103	37	44	1	1	NUM
ejpam-4103	37	45	,	,	PUNCT
ejpam-4103	37	46	2	2	NUM
ejpam-4103	37	47	,	,	PUNCT
ejpam-4103	37	48	3	3	NUM
ejpam-4103	37	49	,	,	PUNCT
ejpam-4103	37	50	....	....	PUNCT
ejpam-4103	37	51	finite	finite	ADJ
ejpam-4103	37	52	difference	difference	NOUN
ejpam-4103	37	53	discretization	discretization	NOUN
ejpam-4103	37	54	of	of	ADP
ejpam-4103	37	55	equation	equation	NOUN
ejpam-4103	37	56	(	(	PUNCT
ejpam-4103	37	57	1	1	X
ejpam-4103	37	58	)	)	PUNCT
ejpam-4103	37	59	using	use	VERB
ejpam-4103	37	60	centred	centred	ADJ
ejpam-4103	37	61	difference	difference	NOUN
ejpam-4103	37	62	formula	formula	NOUN
ejpam-4103	37	63	for	for	ADP
ejpam-4103	37	64	the	the	DET
ejpam-4103	37	65	second	second	ADJ
ejpam-4103	37	66	partial	partial	ADJ
ejpam-4103	37	67	derivatives	derivative	NOUN
ejpam-4103	37	68	will	will	AUX
ejpam-4103	37	69	obtain	obtain	VERB
ejpam-4103	37	70	[	[	PUNCT
ejpam-4103	37	71	9	9	NUM
ejpam-4103	37	72	]	]	SYM
ejpam-4103	37	73	ui	ui	PROPN
ejpam-4103	37	74	,	,	PUNCT
ejpam-4103	37	75	j	j	PROPN
ejpam-4103	37	76	,	,	PUNCT
ejpam-4103	37	77	m+1	m+1	NUM
ejpam-4103	37	78	−	−	PROPN
ejpam-4103	37	79	2ui	2ui	NOUN
ejpam-4103	37	80	,	,	PUNCT
ejpam-4103	37	81	j	j	PROPN
ejpam-4103	37	82	,	,	PUNCT
ejpam-4103	37	83	m	m	PROPN
ejpam-4103	37	84	+	+	PROPN
ejpam-4103	37	85	ui	ui	PROPN
ejpam-4103	37	86	,	,	PUNCT
ejpam-4103	37	87	j	j	PROPN
ejpam-4103	37	88	,	,	PUNCT
ejpam-4103	37	89	m−1	m−1	PROPN
ejpam-4103	37	90	∆t2	∆t2	VERB
ejpam-4103	37	91	+	+	PROPN
ejpam-4103	37	92	2α	2α	PROPN
ejpam-4103	37	93	ui	ui	PROPN
ejpam-4103	37	94	,	,	PUNCT
ejpam-4103	37	95	j	j	PROPN
ejpam-4103	37	96	,	,	PUNCT
ejpam-4103	37	97	m+1	m+1	NUM
ejpam-4103	37	98	−	−	PROPN
ejpam-4103	37	99	ui	ui	PROPN
ejpam-4103	37	100	,	,	PUNCT
ejpam-4103	37	101	j	j	PROPN
ejpam-4103	37	102	,	,	PUNCT
ejpam-4103	37	103	m−1	m−1	PROPN
ejpam-4103	37	104	2	2	NUM
ejpam-4103	37	105	∆t	∆t	NOUN
ejpam-4103	37	106	=	=	SYM
ejpam-4103	37	107	1	1	NUM
ejpam-4103	37	108	2[ui−1,j	2[ui−1,j	NUM
ejpam-4103	37	109	,	,	PUNCT
ejpam-4103	37	110	m+1	m+1	NUM
ejpam-4103	37	111	−	−	PROPN
ejpam-4103	37	112	2ui	2ui	NOUN
ejpam-4103	37	113	,	,	PUNCT
ejpam-4103	37	114	j	j	PROPN
ejpam-4103	37	115	,	,	PUNCT
ejpam-4103	37	116	m+1	m+1	PROPN
ejpam-4103	37	117	+	+	CCONJ
ejpam-4103	37	118	ui+1,j	ui+1,j	NOUN
ejpam-4103	37	119	,	,	PUNCT
ejpam-4103	37	120	m+1	m+1	NUM
ejpam-4103	37	121	∆x2	∆x2	PROPN
ejpam-4103	38	1	+	+	NOUN
ejpam-4103	38	2	ui−1,j	ui−1,j	NOUN
ejpam-4103	38	3	,	,	PUNCT
ejpam-4103	38	4	m	m	VERB
ejpam-4103	38	5	−	−	NOUN
ejpam-4103	38	6	2ui	2ui	ADJ
ejpam-4103	38	7	,	,	PUNCT
ejpam-4103	38	8	j	j	PROPN
ejpam-4103	38	9	,	,	PUNCT
ejpam-4103	38	10	m	m	VERB
ejpam-4103	38	11	+	+	NUM
ejpam-4103	38	12	ui+1,j	ui+1,j	NOUN
ejpam-4103	38	13	,	,	PUNCT
ejpam-4103	38	14	m	m	VERB
ejpam-4103	38	15	∆x2	∆x2	NOUN
ejpam-4103	38	16	]	]	PUNCT
ejpam-4103	39	1	+	+	CCONJ
ejpam-4103	39	2	1	1	NUM
ejpam-4103	39	3	2[ui	2[ui	NUM
ejpam-4103	39	4	,	,	PUNCT
ejpam-4103	39	5	j−1,m+1	j−1,m+1	PROPN
ejpam-4103	39	6	−	−	PROPN
ejpam-4103	39	7	2ui	2ui	PROPN
ejpam-4103	39	8	,	,	PUNCT
ejpam-4103	39	9	j	j	PROPN
ejpam-4103	39	10	,	,	PUNCT
ejpam-4103	39	11	m+1	m+1	PROPN
ejpam-4103	39	12	+	+	PROPN
ejpam-4103	39	13	ui	ui	PROPN
ejpam-4103	39	14	,	,	PUNCT
ejpam-4103	39	15	j+1,m+1	j+1,m+1	PROPN
ejpam-4103	39	16	∆y2	∆y2	PROPN
ejpam-4103	39	17	+	+	PROPN
ejpam-4103	39	18	ui	ui	PROPN
ejpam-4103	39	19	,	,	PUNCT
ejpam-4103	39	20	j−1,m	j−1,m	PROPN
ejpam-4103	39	21	−	−	PROPN
ejpam-4103	39	22	2ui	2ui	PROPN
ejpam-4103	39	23	,	,	PUNCT
ejpam-4103	39	24	j	j	PROPN
ejpam-4103	39	25	,	,	PUNCT
ejpam-4103	39	26	m	m	PROPN
ejpam-4103	39	27	+	+	PROPN
ejpam-4103	39	28	ui	ui	PROPN
ejpam-4103	39	29	,	,	PUNCT
ejpam-4103	39	30	j+1,m	j+1,m	PROPN
ejpam-4103	39	31	∆y2	∆y2	PROPN
ejpam-4103	39	32	]	]	PUNCT
ejpam-4103	40	1	−	−	PROPN
ejpam-4103	40	2	β2	β2	NOUN
ejpam-4103	40	3	2	2	NUM
ejpam-4103	40	4	(	(	PUNCT
ejpam-4103	40	5	ui	ui	PROPN
ejpam-4103	40	6	,	,	PUNCT
ejpam-4103	40	7	j	j	PROPN
ejpam-4103	40	8	,	,	PUNCT
ejpam-4103	40	9	m+1	m+1	PROPN
ejpam-4103	40	10	+	+	PROPN
ejpam-4103	40	11	ui	ui	PROPN
ejpam-4103	40	12	,	,	PUNCT
ejpam-4103	40	13	j	j	PROPN
ejpam-4103	40	14	,	,	PUNCT
ejpam-4103	40	15	m	m	PROPN
ejpam-4103	40	16	)	)	PUNCT
ejpam-4103	40	17	+	+	CCONJ
ejpam-4103	40	18	fi	fi	PROPN
ejpam-4103	40	19	,	,	PUNCT
ejpam-4103	40	20	j	j	PROPN
ejpam-4103	40	21	,	,	PUNCT
ejpam-4103	40	22	m+	m+	NOUN
ejpam-4103	40	23	1	1	NUM
ejpam-4103	40	24	2	2	NUM
ejpam-4103	40	25	(	(	PUNCT
ejpam-4103	40	26	2	2	NUM
ejpam-4103	40	27	)	)	PUNCT
ejpam-4103	40	28	where	where	SCONJ
ejpam-4103	40	29	x	x	X
ejpam-4103	40	30	=	=	VERB
ejpam-4103	40	31	i	i	PRON
ejpam-4103	40	32	∆x	∆x	PROPN
ejpam-4103	40	33	,	,	PUNCT
ejpam-4103	40	34	y	y	PROPN
ejpam-4103	40	35	=	=	SYM
ejpam-4103	40	36	j	j	PROPN
ejpam-4103	40	37	∆y	∆y	PROPN
ejpam-4103	40	38	,	,	PUNCT
ejpam-4103	40	39	t	t	PROPN
ejpam-4103	40	40	=	=	SYM
ejpam-4103	40	41	m	m	PROPN
ejpam-4103	40	42	∆t	∆t	PROPN
ejpam-4103	40	43	;	;	PUNCT
ejpam-4103	40	44	(	(	PUNCT
ejpam-4103	40	45	i	i	PRON
ejpam-4103	40	46	,	,	PUNCT
ejpam-4103	40	47	j	j	PROPN
ejpam-4103	40	48	=	=	SYM
ejpam-4103	40	49	0	0	NUM
ejpam-4103	40	50	,	,	PUNCT
ejpam-4103	40	51	1	1	NUM
ejpam-4103	40	52	,	,	PUNCT
ejpam-4103	40	53	2	2	NUM
ejpam-4103	40	54	,	,	PUNCT
ejpam-4103	40	55	...	...	PUNCT
ejpam-4103	40	56	,	,	PUNCT
ejpam-4103	40	57	n	n	CCONJ
ejpam-4103	40	58	−	−	PROPN
ejpam-4103	40	59	1	1	NUM
ejpam-4103	40	60	;	;	PUNCT
ejpam-4103	40	61	m	m	VERB
ejpam-4103	40	62	=	=	SYM
ejpam-4103	40	63	0	0	NUM
ejpam-4103	40	64	,	,	PUNCT
ejpam-4103	40	65	1	1	NUM
ejpam-4103	40	66	,	,	PUNCT
ejpam-4103	40	67	2	2	NUM
ejpam-4103	40	68	,	,	PUNCT
ejpam-4103	40	69	...	...	PUNCT
ejpam-4103	40	70	)	)	PUNCT
ejpam-4103	40	71	.	.	PUNCT
ejpam-4103	41	1	the	the	DET
ejpam-4103	41	2	above	above	ADJ
ejpam-4103	41	3	equation	equation	NOUN
ejpam-4103	41	4	(	(	PUNCT
ejpam-4103	41	5	2	2	X
ejpam-4103	41	6	)	)	PUNCT
ejpam-4103	41	7	is	be	AUX
ejpam-4103	41	8	called	call	VERB
ejpam-4103	41	9	standard	standard	ADJ
ejpam-4103	41	10	point	point	NOUN
ejpam-4103	41	11	formula	formula	NOUN
ejpam-4103	41	12	and	and	CCONJ
ejpam-4103	41	13	after	after	ADP
ejpam-4103	41	14	simplification	simplification	NOUN
ejpam-4103	41	15	it	it	PRON
ejpam-4103	41	16	can	can	AUX
ejpam-4103	41	17	be	be	AUX
ejpam-4103	41	18	written	write	VERB
ejpam-4103	41	19	as	as	ADP
ejpam-4103	41	20	−	−	PROPN
ejpam-4103	41	21	(	(	PUNCT
ejpam-4103	41	22	r2	r2	PROPN
ejpam-4103	41	23	2	2	NUM
ejpam-4103	41	24	)	)	PUNCT
ejpam-4103	41	25	ui−1,j	ui−1,j	NOUN
ejpam-4103	41	26	,	,	PUNCT
ejpam-4103	41	27	m+1	m+1	PROPN
ejpam-4103	42	1	+	+	CCONJ
ejpam-4103	42	2	(	(	PUNCT
ejpam-4103	42	3	1	1	NUM
ejpam-4103	42	4	+	+	CCONJ
ejpam-4103	42	5	a	a	DET
ejpam-4103	42	6	+	+	NUM
ejpam-4103	42	7	2r2	2r2	NUM
ejpam-4103	42	8	+	+	CCONJ
ejpam-4103	42	9	b/2)ui	b/2)ui	NOUN
ejpam-4103	42	10	,	,	PUNCT
ejpam-4103	42	11	j	j	PROPN
ejpam-4103	42	12	,	,	PUNCT
ejpam-4103	42	13	m+1	m+1	NUM
ejpam-4103	42	14	−	−	PROPN
ejpam-4103	42	15	(	(	PUNCT
ejpam-4103	42	16	r2	r2	PROPN
ejpam-4103	42	17	2	2	NUM
ejpam-4103	42	18	)	)	PUNCT
ejpam-4103	42	19	ui+1,j	ui+1,j	NOUN
ejpam-4103	42	20	,	,	PUNCT
ejpam-4103	42	21	m+1	m+1	NUM
ejpam-4103	42	22	−	−	PROPN
ejpam-4103	42	23	(	(	PUNCT
ejpam-4103	42	24	r2	r2	PROPN
ejpam-4103	42	25	2	2	NUM
ejpam-4103	42	26	)	)	PUNCT
ejpam-4103	42	27	ui	ui	NOUN
ejpam-4103	42	28	,	,	PUNCT
ejpam-4103	42	29	j−1,m+1	j−1,m+1	PROPN
ejpam-4103	42	30	−	−	PROPN
ejpam-4103	42	31	(	(	PUNCT
ejpam-4103	42	32	r2	r2	PROPN
ejpam-4103	42	33	2	2	NUM
ejpam-4103	42	34	)	)	PUNCT
ejpam-4103	42	35	ui	ui	NOUN
ejpam-4103	42	36	,	,	PUNCT
ejpam-4103	42	37	j+1,m+1	j+1,m+1	NOUN
ejpam-4103	42	38	=	=	SYM
ejpam-4103	42	39	(	(	PUNCT
ejpam-4103	42	40	r2	r2	PROPN
ejpam-4103	42	41	2	2	NUM
ejpam-4103	42	42	)	)	PUNCT
ejpam-4103	42	43	ui−1,j	ui−1,j	NOUN
ejpam-4103	42	44	,	,	PUNCT
ejpam-4103	42	45	m	m	VERB
ejpam-4103	42	46	+	+	X
ejpam-4103	42	47	(	(	PUNCT
ejpam-4103	42	48	2	2	NUM
ejpam-4103	42	49	−	−	NOUN
ejpam-4103	42	50	2r2	2r2	NUM
ejpam-4103	42	51	−	−	NOUN
ejpam-4103	42	52	b/2)ui	b/2)ui	NOUN
ejpam-4103	42	53	,	,	PUNCT
ejpam-4103	42	54	j	j	PROPN
ejpam-4103	42	55	,	,	PUNCT
ejpam-4103	42	56	m	m	VERB
ejpam-4103	42	57	+	+	PUNCT
ejpam-4103	42	58	(	(	PUNCT
ejpam-4103	42	59	r2	r2	PROPN
ejpam-4103	42	60	2	2	NUM
ejpam-4103	42	61	)	)	PUNCT
ejpam-4103	42	62	ui+1,j	ui+1,j	NOUN
ejpam-4103	42	63	,	,	PUNCT
ejpam-4103	42	64	m	m	VERB
ejpam-4103	42	65	+	+	ADJ
ejpam-4103	42	66	(	(	PUNCT
ejpam-4103	42	67	r2	r2	PROPN
ejpam-4103	42	68	2	2	NUM
ejpam-4103	42	69	)	)	PUNCT
ejpam-4103	42	70	ui	ui	PROPN
ejpam-4103	42	71	,	,	PUNCT
ejpam-4103	42	72	j−1,m	j−1,m	PROPN
ejpam-4103	42	73	+	+	CCONJ
ejpam-4103	42	74	(	(	PUNCT
ejpam-4103	42	75	r2	r2	PROPN
ejpam-4103	42	76	2	2	NUM
ejpam-4103	42	77	)	)	PUNCT
ejpam-4103	42	78	ui	ui	NOUN
ejpam-4103	42	79	,	,	PUNCT
ejpam-4103	42	80	j+1,m	j+1,m	PROPN
ejpam-4103	42	81	+	+	CCONJ
ejpam-4103	42	82	(	(	PUNCT
ejpam-4103	42	83	a	a	DET
ejpam-4103	42	84	−	−	PROPN
ejpam-4103	42	85	1)ui	1)ui	PROPN
ejpam-4103	42	86	,	,	PUNCT
ejpam-4103	42	87	j	j	NOUN
ejpam-4103	42	88	,	,	PUNCT
ejpam-4103	42	89	m−1	m−1	PROPN
ejpam-4103	42	90	+	+	CCONJ
ejpam-4103	42	91	∆t2fi	∆t2fi	PROPN
ejpam-4103	42	92	,	,	PUNCT
ejpam-4103	42	93	j	j	PROPN
ejpam-4103	42	94	,	,	PUNCT
ejpam-4103	42	95	m+	m+	NOUN
ejpam-4103	42	96	1	1	NUM
ejpam-4103	42	97	2	2	NUM
ejpam-4103	42	98	(	(	PUNCT
ejpam-4103	42	99	3	3	NUM
ejpam-4103	42	100	)	)	PUNCT
ejpam-4103	42	101	a.	a.	NOUN
ejpam-4103	42	102	m.	m.	PROPN
ejpam-4103	42	103	saeed	saeed	PROPN
ejpam-4103	42	104	/	/	SYM
ejpam-4103	42	105	eur	eur	PROPN
ejpam-4103	42	106	.	.	PUNCT
ejpam-4103	43	1	j.	j.	PROPN
ejpam-4103	43	2	pure	pure	PROPN
ejpam-4103	43	3	appl	appl	PROPN
ejpam-4103	43	4	.	.	PROPN
ejpam-4103	43	5	math	math	PROPN
ejpam-4103	43	6	,	,	PUNCT
ejpam-4103	43	7	14	14	NUM
ejpam-4103	43	8	(	(	PUNCT
ejpam-4103	43	9	4	4	NUM
ejpam-4103	43	10	)	)	PUNCT
ejpam-4103	43	11	(	(	PUNCT
ejpam-4103	43	12	2021	2021	NUM
ejpam-4103	43	13	)	)	PUNCT
ejpam-4103	43	14	,	,	PUNCT
ejpam-4103	43	15	1266	1266	NUM
ejpam-4103	43	16	-	-	SYM
ejpam-4103	43	17	1274	1274	NUM
ejpam-4103	43	18	1268	1268	NUM
ejpam-4103	43	19	where	where	SCONJ
ejpam-4103	43	20	h	h	NOUN
ejpam-4103	43	21	=	=	SYM
ejpam-4103	43	22	∆x	∆x	PROPN
ejpam-4103	43	23	=	=	SYM
ejpam-4103	43	24	∆y	∆y	PROPN
ejpam-4103	43	25	=	=	SYM
ejpam-4103	43	26	1	1	NUM
ejpam-4103	43	27	n	n	NOUN
ejpam-4103	43	28	,	,	PUNCT
ejpam-4103	43	29	r	r	NOUN
ejpam-4103	43	30	=	=	SYM
ejpam-4103	43	31	∆t	∆t	PROPN
ejpam-4103	43	32	h	h	NOUN
ejpam-4103	43	33	,	,	PUNCT
ejpam-4103	43	34	a	a	DET
ejpam-4103	43	35	=	=	X
ejpam-4103	43	36	α	α	PROPN
ejpam-4103	43	37	∆t	∆t	PROPN
ejpam-4103	43	38	,	,	PUNCT
ejpam-4103	43	39	b	b	X
ejpam-4103	43	40	=	=	SYM
ejpam-4103	43	41	β2∆t2	β2∆t2	PROPN
ejpam-4103	43	42	.	.	PUNCT
ejpam-4103	44	1	by	by	ADP
ejpam-4103	44	2	rotating	rotate	VERB
ejpam-4103	44	3	the	the	DET
ejpam-4103	44	4	x	x	ADJ
ejpam-4103	44	5	-	-	ADJ
ejpam-4103	44	6	y	y	ADJ
ejpam-4103	44	7	axis	axis	NOUN
ejpam-4103	44	8	clockwise	clockwise	NOUN
ejpam-4103	44	9	450	450	NUM
ejpam-4103	44	10	,	,	PUNCT
ejpam-4103	44	11	we	we	PRON
ejpam-4103	44	12	obtained	obtain	VERB
ejpam-4103	44	13	the	the	DET
ejpam-4103	44	14	rotated	rotate	VERB
ejpam-4103	44	15	finite	finite	ADJ
ejpam-4103	44	16	difference	difference	NOUN
ejpam-4103	44	17	approximation	approximation	NOUN
ejpam-4103	44	18	for	for	ADP
ejpam-4103	44	19	telegraph	telegraph	NOUN
ejpam-4103	44	20	equation	equation	NOUN
ejpam-4103	44	21	(	(	PUNCT
ejpam-4103	44	22	1	1	X
ejpam-4103	44	23	)	)	PUNCT
ejpam-4103	44	24	as	as	SCONJ
ejpam-4103	44	25	follow	follow	VERB
ejpam-4103	44	26	ui	ui	PROPN
ejpam-4103	44	27	,	,	PUNCT
ejpam-4103	44	28	j	j	PROPN
ejpam-4103	44	29	,	,	PUNCT
ejpam-4103	44	30	m+1−2ui	m+1−2ui	PROPN
ejpam-4103	44	31	,	,	PUNCT
ejpam-4103	44	32	j	j	PROPN
ejpam-4103	44	33	,	,	PUNCT
ejpam-4103	44	34	m+ui	m+ui	PROPN
ejpam-4103	44	35	,	,	PUNCT
ejpam-4103	44	36	j	j	PROPN
ejpam-4103	44	37	,	,	PUNCT
ejpam-4103	44	38	m−1	m−1	PROPN
ejpam-4103	44	39	∆t2	∆t2	VERB
ejpam-4103	44	40	+	+	PROPN
ejpam-4103	44	41	2α	2α	PROPN
ejpam-4103	44	42	ui	ui	PROPN
ejpam-4103	44	43	,	,	PUNCT
ejpam-4103	44	44	j	j	PROPN
ejpam-4103	44	45	,	,	PUNCT
ejpam-4103	44	46	m+1−ui	m+1−ui	PROPN
ejpam-4103	44	47	,	,	PUNCT
ejpam-4103	44	48	j	j	PROPN
ejpam-4103	44	49	,	,	PUNCT
ejpam-4103	44	50	m−1	m−1	PROPN
ejpam-4103	44	51	2	2	NUM
ejpam-4103	44	52	∆t	∆t	NOUN
ejpam-4103	44	53	=	=	SYM
ejpam-4103	44	54	1	1	NUM
ejpam-4103	44	55	4	4	NUM
ejpam-4103	44	56	[	[	SYM
ejpam-4103	44	57	ui−1,j−1,m+1−2ui	ui−1,j−1,m+1−2ui	NOUN
ejpam-4103	44	58	,	,	PUNCT
ejpam-4103	44	59	j	j	NOUN
ejpam-4103	44	60	,	,	PUNCT
ejpam-4103	44	61	m+1+ui+1,j+1,m+1	m+1+ui+1,j+1,m+1	PROPN
ejpam-4103	44	62	∆x2	∆x2	PROPN
ejpam-4103	45	1	+	+	PRON
ejpam-4103	45	2	ui−1,j−1,m−2ui	ui−1,j−1,m−2ui	X
ejpam-4103	45	3	,	,	PUNCT
ejpam-4103	45	4	j	j	NOUN
ejpam-4103	45	5	,	,	PUNCT
ejpam-4103	45	6	m+ui+1,j+1,m	m+ui+1,j+1,m	PROPN
ejpam-4103	45	7	∆x2	∆x2	PRON
ejpam-4103	45	8	]	]	PUNCT
ejpam-4103	46	1	+	+	CCONJ
ejpam-4103	46	2	1	1	NUM
ejpam-4103	46	3	4	4	NUM
ejpam-4103	47	1	[	[	X
ejpam-4103	47	2	ui−1,j+1,m+1−2ui	ui−1,j+1,m+1−2ui	PROPN
ejpam-4103	47	3	,	,	PUNCT
ejpam-4103	47	4	j	j	PROPN
ejpam-4103	47	5	,	,	PUNCT
ejpam-4103	47	6	m+1+ui+1,j−1,m+1	m+1+ui+1,j−1,m+1	PROPN
ejpam-4103	47	7	∆y2	∆y2	PROPN
ejpam-4103	47	8	+	+	PROPN
ejpam-4103	47	9	ui−1,j+1,m−2ui	ui−1,j+1,m−2ui	PROPN
ejpam-4103	47	10	,	,	PUNCT
ejpam-4103	47	11	j	j	PROPN
ejpam-4103	47	12	,	,	PUNCT
ejpam-4103	47	13	m+ui+1,j−1,m	m+ui+1,j−1,m	NOUN
ejpam-4103	47	14	∆y2	∆y2	PROPN
ejpam-4103	47	15	]	]	PUNCT
ejpam-4103	48	1	−	−	PROPN
ejpam-4103	48	2	β2	β2	NOUN
ejpam-4103	48	3	2	2	NUM
ejpam-4103	48	4	(	(	PUNCT
ejpam-4103	48	5	ui	ui	PROPN
ejpam-4103	48	6	,	,	PUNCT
ejpam-4103	48	7	j	j	PROPN
ejpam-4103	48	8	,	,	PUNCT
ejpam-4103	48	9	m+1	m+1	PROPN
ejpam-4103	48	10	+	+	PROPN
ejpam-4103	48	11	ui	ui	PROPN
ejpam-4103	48	12	,	,	PUNCT
ejpam-4103	48	13	j	j	PROPN
ejpam-4103	48	14	,	,	PUNCT
ejpam-4103	48	15	m	m	PROPN
ejpam-4103	48	16	)	)	PUNCT
ejpam-4103	48	17	+	+	CCONJ
ejpam-4103	48	18	fi	fi	PROPN
ejpam-4103	48	19	,	,	PUNCT
ejpam-4103	48	20	j	j	PROPN
ejpam-4103	48	21	,	,	PUNCT
ejpam-4103	48	22	m+	m+	NOUN
ejpam-4103	48	23	1	1	NUM
ejpam-4103	48	24	2	2	NUM
ejpam-4103	48	25	(	(	PUNCT
ejpam-4103	48	26	4	4	NUM
ejpam-4103	48	27	)	)	PUNCT
ejpam-4103	48	28	similarly	similarly	ADV
ejpam-4103	48	29	,	,	PUNCT
ejpam-4103	48	30	we	we	PRON
ejpam-4103	48	31	can	can	AUX
ejpam-4103	48	32	simplify	simplify	VERB
ejpam-4103	48	33	equation	equation	NOUN
ejpam-4103	48	34	(	(	PUNCT
ejpam-4103	48	35	4	4	NUM
ejpam-4103	48	36	)	)	PUNCT
ejpam-4103	48	37	as	as	ADP
ejpam-4103	48	38	the	the	DET
ejpam-4103	48	39	following	follow	VERB
ejpam-4103	48	40	−	−	PROPN
ejpam-4103	48	41	(	(	PUNCT
ejpam-4103	48	42	r2	r2	PROPN
ejpam-4103	48	43	4	4	NUM
ejpam-4103	48	44	)	)	PUNCT
ejpam-4103	48	45	ui−1,j−1,m+1	ui−1,j−1,m+1	PROPN
ejpam-4103	49	1	+	+	CCONJ
ejpam-4103	49	2	(	(	PUNCT
ejpam-4103	49	3	1	1	NUM
ejpam-4103	49	4	+	+	CCONJ
ejpam-4103	49	5	a	a	DET
ejpam-4103	49	6	+	+	NUM
ejpam-4103	49	7	r2	r2	NOUN
ejpam-4103	49	8	+	+	CCONJ
ejpam-4103	49	9	b/2)ui	b/2)ui	NOUN
ejpam-4103	49	10	,	,	PUNCT
ejpam-4103	49	11	j	j	PROPN
ejpam-4103	49	12	,	,	PUNCT
ejpam-4103	49	13	m+1	m+1	NUM
ejpam-4103	49	14	−	−	PROPN
ejpam-4103	49	15	(	(	PUNCT
ejpam-4103	49	16	r2	r2	PROPN
ejpam-4103	49	17	4	4	NUM
ejpam-4103	49	18	)	)	PUNCT
ejpam-4103	49	19	ui+1,j+1,m+1	ui+1,j+1,m+1	NOUN
ejpam-4103	49	20	−	−	PROPN
ejpam-4103	49	21	(	(	PUNCT
ejpam-4103	49	22	r2	r2	PROPN
ejpam-4103	49	23	4	4	NUM
ejpam-4103	49	24	)	)	PUNCT
ejpam-4103	49	25	ui−1,j−1,m+1	ui−1,j−1,m+1	PROPN
ejpam-4103	49	26	−	−	PROPN
ejpam-4103	49	27	(	(	PUNCT
ejpam-4103	49	28	r2	r2	PROPN
ejpam-4103	49	29	4	4	NUM
ejpam-4103	49	30	)	)	PUNCT
ejpam-4103	49	31	ui+1,j−1,m+1	ui+1,j−1,m+1	ADJ
ejpam-4103	49	32	=	=	SYM
ejpam-4103	49	33	(	(	PUNCT
ejpam-4103	49	34	r2	r2	PROPN
ejpam-4103	49	35	2	2	NUM
ejpam-4103	49	36	)	)	PUNCT
ejpam-4103	50	1	ui−1,j−1,m	ui−1,j−1,m	PROPN
ejpam-4103	50	2	+	+	CCONJ
ejpam-4103	50	3	(	(	PUNCT
ejpam-4103	50	4	2	2	NUM
ejpam-4103	50	5	−	−	PROPN
ejpam-4103	50	6	r2	r2	NOUN
ejpam-4103	50	7	−	−	PROPN
ejpam-4103	50	8	b/2)ui	b/2)ui	NOUN
ejpam-4103	50	9	,	,	PUNCT
ejpam-4103	50	10	j	j	PROPN
ejpam-4103	50	11	,	,	PUNCT
ejpam-4103	50	12	m	m	VERB
ejpam-4103	50	13	+	+	PUNCT
ejpam-4103	50	14	(	(	PUNCT
ejpam-4103	50	15	r2	r2	PROPN
ejpam-4103	50	16	4	4	NUM
ejpam-4103	50	17	)	)	PUNCT
ejpam-4103	50	18	ui+1,j+1,m	ui+1,j+1,m	PROPN
ejpam-4103	51	1	+	+	PROPN
ejpam-4103	51	2	(	(	PUNCT
ejpam-4103	51	3	r2	r2	PROPN
ejpam-4103	51	4	4	4	NUM
ejpam-4103	51	5	)	)	PUNCT
ejpam-4103	51	6	ui−1,j+1,m	ui−1,j+1,m	NOUN
ejpam-4103	52	1	+	+	CCONJ
ejpam-4103	52	2	(	(	PUNCT
ejpam-4103	52	3	r2	r2	PROPN
ejpam-4103	52	4	4	4	NUM
ejpam-4103	52	5	)	)	PUNCT
ejpam-4103	52	6	ui+,j−1,m	ui+,j−1,m	NOUN
ejpam-4103	52	7	+	+	CCONJ
ejpam-4103	52	8	(	(	PUNCT
ejpam-4103	52	9	a	a	DET
ejpam-4103	52	10	−	−	PROPN
ejpam-4103	52	11	1)ui	1)ui	PROPN
ejpam-4103	52	12	,	,	PUNCT
ejpam-4103	52	13	j	j	NOUN
ejpam-4103	52	14	,	,	PUNCT
ejpam-4103	52	15	m−1	m−1	PROPN
ejpam-4103	52	16	+	+	CCONJ
ejpam-4103	52	17	∆t2fi	∆t2fi	PROPN
ejpam-4103	52	18	,	,	PUNCT
ejpam-4103	52	19	j	j	PROPN
ejpam-4103	52	20	,	,	PUNCT
ejpam-4103	52	21	m+	m+	NOUN
ejpam-4103	52	22	1	1	NUM
ejpam-4103	52	23	2	2	NUM
ejpam-4103	52	24	(	(	PUNCT
ejpam-4103	52	25	5	5	NUM
ejpam-4103	52	26	)	)	PUNCT
ejpam-4103	52	27	the	the	DET
ejpam-4103	52	28	formulation	formulation	NOUN
ejpam-4103	52	29	of	of	ADP
ejpam-4103	52	30	eg	eg	NOUN
ejpam-4103	52	31	method	method	NOUN
ejpam-4103	52	32	depend	depend	VERB
ejpam-4103	52	33	on	on	ADP
ejpam-4103	52	34	the	the	DET
ejpam-4103	52	35	standard	standard	ADJ
ejpam-4103	52	36	point	point	NOUN
ejpam-4103	52	37	approximation	approximation	NOUN
ejpam-4103	52	38	which	which	PRON
ejpam-4103	52	39	was	be	AUX
ejpam-4103	52	40	derived	derive	VERB
ejpam-4103	52	41	from	from	ADP
ejpam-4103	52	42	the	the	DET
ejpam-4103	52	43	central	central	ADJ
ejpam-4103	52	44	finite	finite	ADJ
ejpam-4103	52	45	difference	difference	NOUN
ejpam-4103	52	46	discretisation	discretisation	NOUN
ejpam-4103	52	47	as	as	ADP
ejpam-4103	52	48	equations	equation	NOUN
ejpam-4103	52	49	(	(	PUNCT
ejpam-4103	52	50	2	2	NUM
ejpam-4103	52	51	)	)	PUNCT
ejpam-4103	52	52	and	and	CCONJ
ejpam-4103	52	53	(	(	PUNCT
ejpam-4103	52	54	3	3	X
ejpam-4103	52	55	)	)	PUNCT
ejpam-4103	53	1	[	[	X
ejpam-4103	53	2	11	11	NUM
ejpam-4103	53	3	,	,	PUNCT
ejpam-4103	53	4	16	16	NUM
ejpam-4103	53	5	]	]	PUNCT
ejpam-4103	53	6	.	.	PUNCT
ejpam-4103	54	1	applying	apply	VERB
ejpam-4103	54	2	equation	equation	NOUN
ejpam-4103	54	3	(	(	PUNCT
ejpam-4103	54	4	3	3	NUM
ejpam-4103	54	5	)	)	PUNCT
ejpam-4103	54	6	to	to	ADP
ejpam-4103	54	7	any	any	DET
ejpam-4103	54	8	group	group	NOUN
ejpam-4103	54	9	of	of	ADP
ejpam-4103	54	10	four	four	NUM
ejpam-4103	54	11	points	point	NOUN
ejpam-4103	54	12	on	on	ADP
ejpam-4103	54	13	a	a	DET
ejpam-4103	54	14	discretised	discretise	VERB
ejpam-4103	54	15	solution	solution	NOUN
ejpam-4103	54	16	domain	domain	NOUN
ejpam-4103	54	17	will	will	AUX
ejpam-4103	54	18	result	result	VERB
ejpam-4103	54	19	in	in	ADP
ejpam-4103	54	20	a	a	DET
ejpam-4103	54	21	4×4	4×4	NUM
ejpam-4103	54	22	system	system	NOUN
ejpam-4103	54	23	of	of	ADP
ejpam-4103	54	24	equations	equation	NOUN
ejpam-4103	54	25	as	as	ADP
ejpam-4103	54	26	follows:	follows:	ADJ
ejpam-4103	54	27	c1	c1	PROPN
ejpam-4103	54	28	c2	c2	PROPN
ejpam-4103	54	29	0	0	PROPN
ejpam-4103	55	1	c2	c2	PROPN
ejpam-4103	55	2	c2	c2	PROPN
ejpam-4103	55	3	c1	c1	PROPN
ejpam-4103	55	4	c2	c2	PROPN
ejpam-4103	55	5	0	0	NUM
ejpam-4103	55	6	0	0	NUM
ejpam-4103	56	1	c2	c2	PROPN
ejpam-4103	56	2	c1	c1	PROPN
ejpam-4103	56	3	c2	c2	PROPN
ejpam-4103	56	4	c2	c2	PROPN
ejpam-4103	56	5	0	0	PROPN
ejpam-4103	57	1	c2	c2	PROPN
ejpam-4103	57	2	c1	c1	PROPN
ejpam-4103	57	3			PROPN
ejpam-4103	57	4			PROPN
ejpam-4103	57	5	ui	ui	PROPN
ejpam-4103	57	6	,	,	PUNCT
ejpam-4103	57	7	j	j	PROPN
ejpam-4103	57	8	,	,	PUNCT
ejpam-4103	57	9	m+1	m+1	NUM
ejpam-4103	57	10	ui+1,j	ui+1,j	NOUN
ejpam-4103	57	11	,	,	PUNCT
ejpam-4103	57	12	m+1	m+1	PROPN
ejpam-4103	57	13	ui+1,j+1,m+1	ui+1,j+1,m+1	PROPN
ejpam-4103	57	14	ui	ui	PROPN
ejpam-4103	57	15	,	,	PUNCT
ejpam-4103	57	16	j+1,m+1	j+1,m+1	NOUN
ejpam-4103	57	17			NOUN
ejpam-4103	57	18	=	=	PUNCT
ejpam-4103	57	19			PROPN
ejpam-4103	57	20	rhsi	rhsi	NOUN
ejpam-4103	57	21	,	,	PUNCT
ejpam-4103	57	22	j	j	PROPN
ejpam-4103	57	23	rhsi+1,j	rhsi+1,j	NOUN
ejpam-4103	57	24	rhsi+1,j+1	rhsi+1,j+1	ADJ
ejpam-4103	57	25	rhsi	rhsi	NOUN
ejpam-4103	57	26	,	,	PUNCT
ejpam-4103	57	27	j+1	j+1	PROPN
ejpam-4103	57	28			PROPN
ejpam-4103	57	29	(	(	PUNCT
ejpam-4103	57	30	6	6	NUM
ejpam-4103	57	31	)	)	PUNCT
ejpam-4103	57	32	where	where	SCONJ
ejpam-4103	57	33	c1	c1	NOUN
ejpam-4103	57	34	=	=	PROPN
ejpam-4103	57	35	1	1	NUM
ejpam-4103	58	1	+	+	CCONJ
ejpam-4103	58	2	a	a	DET
ejpam-4103	58	3	+	+	NUM
ejpam-4103	58	4	2r2	2r2	NUM
ejpam-4103	58	5	+	+	CCONJ
ejpam-4103	58	6	b	b	SYM
ejpam-4103	58	7	2	2	NUM
ejpam-4103	58	8	,	,	PUNCT
ejpam-4103	58	9	c2	c2	PROPN
ejpam-4103	58	10	=	=	PUNCT
ejpam-4103	58	11	−	−	PROPN
ejpam-4103	58	12	r2	r2	PROPN
ejpam-4103	58	13	2	2	NUM
ejpam-4103	58	14	,	,	PUNCT
ejpam-4103	58	15	rhsi	rhsi	NOUN
ejpam-4103	58	16	,	,	PUNCT
ejpam-4103	58	17	j	j	X
ejpam-4103	58	18	=	=	PRON
ejpam-4103	58	19	(	(	PUNCT
ejpam-4103	58	20	r2	r2	PROPN
ejpam-4103	58	21	2	2	NUM
ejpam-4103	58	22	)	)	PUNCT
ejpam-4103	59	1	[	[	X
ejpam-4103	59	2	ui−1,j	ui−1,j	NOUN
ejpam-4103	59	3	,	,	PUNCT
ejpam-4103	59	4	m+1	m+1	PROPN
ejpam-4103	59	5	+	+	PROPN
ejpam-4103	59	6	ui	ui	PROPN
ejpam-4103	59	7	,	,	PUNCT
ejpam-4103	59	8	j−1,m+1	j−1,m+1	PROPN
ejpam-4103	59	9	]	]	PUNCT
ejpam-4103	59	10	+	+	CCONJ
ejpam-4103	59	11	(	(	PUNCT
ejpam-4103	59	12	r2	r2	PROPN
ejpam-4103	59	13	2	2	NUM
ejpam-4103	59	14	)	)	PUNCT
ejpam-4103	60	1	[	[	X
ejpam-4103	60	2	ui−1,j	ui−1,j	X
ejpam-4103	60	3	,	,	PUNCT
ejpam-4103	60	4	m	m	PROPN
ejpam-4103	60	5	+	+	PROPN
ejpam-4103	60	6	ui	ui	PROPN
ejpam-4103	60	7	,	,	PUNCT
ejpam-4103	60	8	j−1,m	j−1,m	PROPN
ejpam-4103	60	9	+	+	NUM
ejpam-4103	60	10	ui+1,j	ui+1,j	NOUN
ejpam-4103	60	11	,	,	PUNCT
ejpam-4103	60	12	m	m	VERB
ejpam-4103	60	13	+	+	X
ejpam-4103	60	14	+	+	ADJ
ejpam-4103	60	15	ui	ui	ADJ
ejpam-4103	60	16	,	,	PUNCT
ejpam-4103	60	17	j+1,m	j+1,m	PROPN
ejpam-4103	60	18	]	]	X
ejpam-4103	61	1	+	+	ADJ
ejpam-4103	61	2	(	(	PUNCT
ejpam-4103	61	3	2	2	NUM
ejpam-4103	61	4	−	−	NOUN
ejpam-4103	61	5	2r2	2r2	NUM
ejpam-4103	61	6	−	−	PROPN
ejpam-4103	61	7	b	b	PROPN
ejpam-4103	61	8	2)ui	2)ui	NUM
ejpam-4103	61	9	,	,	PUNCT
ejpam-4103	61	10	j	j	NOUN
ejpam-4103	61	11	,	,	PUNCT
ejpam-4103	61	12	m	m	VERB
ejpam-4103	61	13	+	+	X
ejpam-4103	61	14	(	(	PUNCT
ejpam-4103	61	15	a	a	DET
ejpam-4103	61	16	−	−	PROPN
ejpam-4103	61	17	1)ui	1)ui	PROPN
ejpam-4103	61	18	,	,	PUNCT
ejpam-4103	61	19	j	j	NOUN
ejpam-4103	61	20	,	,	PUNCT
ejpam-4103	61	21	m−1	m−1	PROPN
ejpam-4103	61	22	+	+	CCONJ
ejpam-4103	61	23	∆t2	∆t2	VERB
ejpam-4103	61	24	fi	fi	NOUN
ejpam-4103	61	25	,	,	PUNCT
ejpam-4103	61	26	j	j	PROPN
ejpam-4103	61	27	,	,	PUNCT
ejpam-4103	61	28	m+	m+	NOUN
ejpam-4103	61	29	1	1	NUM
ejpam-4103	61	30	2	2	NUM
ejpam-4103	61	31	,	,	PUNCT
ejpam-4103	61	32	rhsi+1,j	rhsi+1,j	NOUN
ejpam-4103	61	33	=	=	SYM
ejpam-4103	61	34	(	(	PUNCT
ejpam-4103	61	35	r2	r2	PROPN
ejpam-4103	61	36	2	2	NUM
ejpam-4103	61	37	)	)	PUNCT
ejpam-4103	62	1	[	[	X
ejpam-4103	62	2	ui+1,j−1,m+1	ui+1,j−1,m+1	ADJ
ejpam-4103	62	3	+	+	NUM
ejpam-4103	62	4	ui+2,j	ui+2,j	ADJ
ejpam-4103	62	5	,	,	PUNCT
ejpam-4103	62	6	m+1	m+1	X
ejpam-4103	62	7	]	]	PUNCT
ejpam-4103	63	1	+	+	CCONJ
ejpam-4103	63	2	(	(	PUNCT
ejpam-4103	63	3	r2	r2	PROPN
ejpam-4103	63	4	2	2	NUM
ejpam-4103	63	5	)	)	PUNCT
ejpam-4103	64	1	[	[	X
ejpam-4103	64	2	ui	ui	PROPN
ejpam-4103	64	3	,	,	PUNCT
ejpam-4103	64	4	j	j	PROPN
ejpam-4103	64	5	,	,	PUNCT
ejpam-4103	64	6	m	m	VERB
ejpam-4103	64	7	+	+	CCONJ
ejpam-4103	64	8	ui+1,j−1,m	ui+1,j−1,m	ADJ
ejpam-4103	64	9	+	+	CCONJ
ejpam-4103	64	10	ui+2,j	ui+2,j	ADJ
ejpam-4103	64	11	,	,	PUNCT
ejpam-4103	64	12	m	m	VERB
ejpam-4103	64	13	+	+	NOUN
ejpam-4103	64	14	ui+1,j+1,m	ui+1,j+1,m	ADJ
ejpam-4103	64	15	]	]	X
ejpam-4103	65	1	+	+	CCONJ
ejpam-4103	65	2	(	(	PUNCT
ejpam-4103	65	3	2	2	NUM
ejpam-4103	65	4	−	−	NOUN
ejpam-4103	65	5	2r2	2r2	NUM
ejpam-4103	65	6	−	−	PROPN
ejpam-4103	65	7	b	b	NOUN
ejpam-4103	65	8	2)ui+1,j	2)ui+1,j	NUM
ejpam-4103	65	9	,	,	PUNCT
ejpam-4103	65	10	m	m	VERB
ejpam-4103	65	11	+	+	X
ejpam-4103	65	12	(	(	PUNCT
ejpam-4103	65	13	a	a	DET
ejpam-4103	65	14	−	−	PROPN
ejpam-4103	65	15	1)ui+1,j	1)ui+1,j	NUM
ejpam-4103	65	16	,	,	PUNCT
ejpam-4103	65	17	m−1	m−1	PROPN
ejpam-4103	65	18	+	+	CCONJ
ejpam-4103	65	19	∆t2	∆t2	VERB
ejpam-4103	65	20	fi+1,j	fi+1,j	NOUN
ejpam-4103	65	21	,	,	PUNCT
ejpam-4103	65	22	m+	m+	NOUN
ejpam-4103	65	23	1	1	NUM
ejpam-4103	65	24	2	2	NUM
ejpam-4103	65	25	,	,	PUNCT
ejpam-4103	65	26	rhsi+1,j+1	rhsi+1,j+1	NOUN
ejpam-4103	65	27	=	=	SYM
ejpam-4103	65	28	(	(	PUNCT
ejpam-4103	65	29	r2	r2	PROPN
ejpam-4103	65	30	2	2	NUM
ejpam-4103	65	31	)	)	PUNCT
ejpam-4103	66	1	[	[	X
ejpam-4103	66	2	ui+2,j+1,m+1	ui+2,j+1,m+1	X
ejpam-4103	66	3	+	+	X
ejpam-4103	66	4	ui+1,j+2,m+1	ui+1,j+2,m+1	X
ejpam-4103	66	5	]	]	X
ejpam-4103	66	6	+	+	CCONJ
ejpam-4103	66	7	(	(	PUNCT
ejpam-4103	66	8	r2	r2	PROPN
ejpam-4103	66	9	2	2	NUM
ejpam-4103	66	10	)	)	PUNCT
ejpam-4103	67	1	[	[	X
ejpam-4103	67	2	ui	ui	NOUN
ejpam-4103	67	3	,	,	PUNCT
ejpam-4103	67	4	j+1,m	j+1,m	PROPN
ejpam-4103	67	5	+	+	CCONJ
ejpam-4103	67	6	ui+1,j	ui+1,j	NOUN
ejpam-4103	67	7	,	,	PUNCT
ejpam-4103	67	8	m	m	VERB
ejpam-4103	67	9	+	+	ADJ
ejpam-4103	67	10	ui+2,j+1,m	ui+2,j+1,m	PROPN
ejpam-4103	67	11	+	+	NOUN
ejpam-4103	67	12	ui+1,j+2,m	ui+1,j+2,m	NOUN
ejpam-4103	67	13	]	]	X
ejpam-4103	68	1	+	+	CCONJ
ejpam-4103	68	2	(	(	PUNCT
ejpam-4103	68	3	2	2	NUM
ejpam-4103	68	4	−	−	NOUN
ejpam-4103	68	5	2r2	2r2	NUM
ejpam-4103	68	6	−	−	PROPN
ejpam-4103	68	7	b	b	NUM
ejpam-4103	68	8	2)ui+1,j+1,m	2)ui+1,j+1,m	NUM
ejpam-4103	68	9	+	+	CCONJ
ejpam-4103	68	10	(	(	PUNCT
ejpam-4103	68	11	a	a	DET
ejpam-4103	68	12	−	−	PROPN
ejpam-4103	68	13	1)ui+1,j+1,m−1	1)ui+1,j+1,m−1	NOUN
ejpam-4103	68	14	+	+	CCONJ
ejpam-4103	68	15	∆t2	∆t2	VERB
ejpam-4103	68	16	fi+1,j+1,m+	fi+1,j+1,m+	PROPN
ejpam-4103	68	17	1	1	NUM
ejpam-4103	68	18	2	2	NUM
ejpam-4103	68	19	,	,	PUNCT
ejpam-4103	68	20	rhsi	rhsi	NOUN
ejpam-4103	68	21	,	,	PUNCT
ejpam-4103	68	22	j+1	j+1	X
ejpam-4103	68	23	=	=	SYM
ejpam-4103	68	24	(	(	PUNCT
ejpam-4103	68	25	r2	r2	PROPN
ejpam-4103	68	26	2	2	NUM
ejpam-4103	68	27	)	)	PUNCT
ejpam-4103	69	1	[	[	X
ejpam-4103	69	2	ui−1,j+1,m+1	ui−1,j+1,m+1	X
ejpam-4103	69	3	+	+	PROPN
ejpam-4103	69	4	ui	ui	PROPN
ejpam-4103	69	5	,	,	PUNCT
ejpam-4103	69	6	j+2,m+1	j+2,m+1	PROPN
ejpam-4103	69	7	]	]	PUNCT
ejpam-4103	70	1	+	+	CCONJ
ejpam-4103	70	2	(	(	PUNCT
ejpam-4103	70	3	r2	r2	PROPN
ejpam-4103	70	4	2	2	NUM
ejpam-4103	70	5	)	)	PUNCT
ejpam-4103	71	1	[	[	X
ejpam-4103	71	2	ui−1,j+1,m	ui−1,j+1,m	NOUN
ejpam-4103	71	3	+	+	CCONJ
ejpam-4103	71	4	ui	ui	PROPN
ejpam-4103	71	5	,	,	PUNCT
ejpam-4103	71	6	j	j	PROPN
ejpam-4103	71	7	,	,	PUNCT
ejpam-4103	71	8	m	m	VERB
ejpam-4103	71	9	+	+	X
ejpam-4103	71	10	ui+1,j+1,m	ui+1,j+1,m	ADJ
ejpam-4103	71	11	+	+	PROPN
ejpam-4103	71	12	ui	ui	PROPN
ejpam-4103	71	13	,	,	PUNCT
ejpam-4103	71	14	j+2,m	j+2,m	PROPN
ejpam-4103	71	15	]	]	X
ejpam-4103	71	16	+	+	CCONJ
ejpam-4103	71	17	(	(	PUNCT
ejpam-4103	71	18	2	2	NUM
ejpam-4103	71	19	−	−	NOUN
ejpam-4103	71	20	2r2	2r2	NUM
ejpam-4103	71	21	−	−	PROPN
ejpam-4103	71	22	b	b	PROPN
ejpam-4103	72	1	2)ui	2)ui	NUM
ejpam-4103	72	2	,	,	PUNCT
ejpam-4103	72	3	j+1,m	j+1,m	PROPN
ejpam-4103	72	4	+	+	CCONJ
ejpam-4103	72	5	(	(	PUNCT
ejpam-4103	72	6	a	a	DET
ejpam-4103	72	7	−	−	PROPN
ejpam-4103	72	8	1)ui	1)ui	NUM
ejpam-4103	72	9	,	,	PUNCT
ejpam-4103	72	10	j+1,m−1	j+1,m−1	PROPN
ejpam-4103	72	11	+	+	CCONJ
ejpam-4103	72	12	∆t2	∆t2	VERB
ejpam-4103	72	13	fi	fi	NOUN
ejpam-4103	72	14	,	,	PUNCT
ejpam-4103	72	15	j+1,m+	j+1,m+	NOUN
ejpam-4103	72	16	1	1	NUM
ejpam-4103	72	17	2	2	NUM
ejpam-4103	72	18	the	the	DET
ejpam-4103	72	19	system	system	NOUN
ejpam-4103	72	20	of	of	ADP
ejpam-4103	72	21	equations	equation	NOUN
ejpam-4103	72	22	(	(	PUNCT
ejpam-4103	72	23	6	6	NUM
ejpam-4103	72	24	)	)	PUNCT
ejpam-4103	72	25	can	can	AUX
ejpam-4103	72	26	be	be	AUX
ejpam-4103	72	27	inverted	invert	VERB
ejpam-4103	72	28	to	to	ADP
ejpam-4103	72	29	the	the	DET
ejpam-4103	72	30	following	follow	VERB
ejpam-4103	72	31	system	system	PROPN
ejpam-4103	72	32	ui	ui	PROPN
ejpam-4103	72	33	,	,	PUNCT
ejpam-4103	72	34	j	j	PROPN
ejpam-4103	72	35	,	,	PUNCT
ejpam-4103	72	36	m+1	m+1	NUM
ejpam-4103	72	37	ui+1,j	ui+1,j	NOUN
ejpam-4103	72	38	,	,	PUNCT
ejpam-4103	72	39	m+1	m+1	PROPN
ejpam-4103	72	40	ui+1,j+1,m+1	ui+1,j+1,m+1	PROPN
ejpam-4103	72	41	ui	ui	PROPN
ejpam-4103	72	42	,	,	PUNCT
ejpam-4103	72	43	j+1,m+1	j+1,m+1	NOUN
ejpam-4103	72	44			NOUN
ejpam-4103	72	45	=	=	PUNCT
ejpam-4103	72	46			NOUN
ejpam-4103	72	47	ℓ1	ℓ1	VERB
ejpam-4103	72	48	ℓ2	ℓ2	NOUN
ejpam-4103	72	49	ℓ3	ℓ3	NOUN
ejpam-4103	72	50	ℓ2	ℓ2	NOUN
ejpam-4103	72	51	ℓ2	ℓ2	NOUN
ejpam-4103	72	52	ℓ1	ℓ1	VERB
ejpam-4103	72	53	ℓ2	ℓ2	NOUN
ejpam-4103	72	54	ℓ3	ℓ3	PROPN
ejpam-4103	72	55	ℓ3	ℓ3	NOUN
ejpam-4103	72	56	ℓ2	ℓ2	NOUN
ejpam-4103	72	57	ℓ1	ℓ1	VERB
ejpam-4103	72	58	ℓ2	ℓ2	NOUN
ejpam-4103	72	59	ℓ2	ℓ2	NOUN
ejpam-4103	72	60	ℓ3	ℓ3	NOUN
ejpam-4103	72	61	ℓ2	ℓ2	NOUN
ejpam-4103	72	62	ℓ1	ℓ1	VERB
ejpam-4103	72	63			PRON
ejpam-4103	72	64			PROPN
ejpam-4103	72	65	rhsi	rhsi	NOUN
ejpam-4103	72	66	,	,	PUNCT
ejpam-4103	72	67	j	j	PROPN
ejpam-4103	72	68	rhsi+1,j	rhsi+1,j	NOUN
ejpam-4103	72	69	rhsi+1,j+1	rhsi+1,j+1	ADJ
ejpam-4103	72	70	rhsi	rhsi	NOUN
ejpam-4103	72	71	,	,	PUNCT
ejpam-4103	72	72	j+1	j+1	PROPN
ejpam-4103	72	73			PROPN
ejpam-4103	72	74	(	(	PUNCT
ejpam-4103	72	75	7	7	NUM
ejpam-4103	72	76	)	)	PUNCT
ejpam-4103	72	77	where	where	SCONJ
ejpam-4103	72	78	ℓ1	ℓ1	NOUN
ejpam-4103	72	79	=	=	SYM
ejpam-4103	72	80	2(4a2	2(4a2	NOUN
ejpam-4103	73	1	+	+	CCONJ
ejpam-4103	73	2	4ab	4ab	ADJ
ejpam-4103	74	1	+	+	PUNCT
ejpam-4103	74	2	16ar2	16ar2	NUM
ejpam-4103	74	3	+	+	CCONJ
ejpam-4103	74	4	8a	8a	NUM
ejpam-4103	74	5	+	+	SYM
ejpam-4103	74	6	16r2	16r2	NUM
ejpam-4103	74	7	+	+	CCONJ
ejpam-4103	74	8	4	4	NUM
ejpam-4103	74	9	+	+	NUM
ejpam-4103	74	10	8r2b	8r2b	NUM
ejpam-4103	75	1	+	+	CCONJ
ejpam-4103	75	2	4b	4b	X
ejpam-4103	75	3	+	+	CCONJ
ejpam-4103	75	4	14r4	14r4	NUM
ejpam-4103	75	5	+	+	NUM
ejpam-4103	75	6	b2)/(8a3	b2)/(8a3	X
ejpam-4103	75	7	+	+	CCONJ
ejpam-4103	75	8	12a2b	12a2b	NOUN
ejpam-4103	75	9	+48a2r2	+48a2r2	X
ejpam-4103	75	10	+	+	CCONJ
ejpam-4103	75	11	24a2	24a2	NUM
ejpam-4103	75	12	+	+	NUM
ejpam-4103	75	13	24ab	24ab	ADJ
ejpam-4103	75	14	+	+	NUM
ejpam-4103	75	15	88ar4	88ar4	NOUN
ejpam-4103	75	16	+	+	CCONJ
ejpam-4103	75	17	96ar2	96ar2	NUM
ejpam-4103	75	18	+	+	CCONJ
ejpam-4103	75	19	48ar2b	48ar2b	NUM
ejpam-4103	75	20	+	+	NUM
ejpam-4103	75	21	24a	24a	NOUN
ejpam-4103	75	22	+	+	SYM
ejpam-4103	75	23	8	8	NUM
ejpam-4103	75	24	+	+	NUM
ejpam-4103	75	25	6ab2	6ab2	NUM
ejpam-4103	75	26	+12b	+12b	NUM
ejpam-4103	76	1	+	+	CCONJ
ejpam-4103	77	1	12r2b2	12r2b2	NUM
ejpam-4103	77	2	+	+	CCONJ
ejpam-4103	77	3	48r2	48r2	PROPN
ejpam-4103	77	4	+	+	NUM
ejpam-4103	77	5	b3	b3	PROPN
ejpam-4103	77	6	+	+	CCONJ
ejpam-4103	77	7	88r4	88r4	NUM
ejpam-4103	77	8	+	+	NOUN
ejpam-4103	77	9	44r4b	44r4b	NOUN
ejpam-4103	77	10	+	+	CCONJ
ejpam-4103	77	11	48r6	48r6	NUM
ejpam-4103	77	12	+	+	NUM
ejpam-4103	77	13	48r2b	48r2b	NOUN
ejpam-4103	77	14	+	+	CCONJ
ejpam-4103	77	15	6b2	6b2	NUM
ejpam-4103	77	16	)	)	PUNCT
ejpam-4103	77	17	;	;	PUNCT
ejpam-4103	77	18	a.	a.	NOUN
ejpam-4103	77	19	m.	m.	PROPN
ejpam-4103	77	20	saeed	saeed	PROPN
ejpam-4103	77	21	/	/	SYM
ejpam-4103	77	22	eur	eur	PROPN
ejpam-4103	77	23	.	.	PUNCT
ejpam-4103	78	1	j.	j.	PROPN
ejpam-4103	78	2	pure	pure	PROPN
ejpam-4103	78	3	appl	appl	PROPN
ejpam-4103	78	4	.	.	PROPN
ejpam-4103	78	5	math	math	PROPN
ejpam-4103	78	6	,	,	PUNCT
ejpam-4103	78	7	14	14	NUM
ejpam-4103	78	8	(	(	PUNCT
ejpam-4103	78	9	4	4	NUM
ejpam-4103	78	10	)	)	PUNCT
ejpam-4103	78	11	(	(	PUNCT
ejpam-4103	78	12	2021	2021	NUM
ejpam-4103	78	13	)	)	PUNCT
ejpam-4103	78	14	,	,	PUNCT
ejpam-4103	78	15	1266	1266	NUM
ejpam-4103	78	16	-	-	SYM
ejpam-4103	78	17	1274	1274	NUM
ejpam-4103	78	18	1269	1269	NUM
ejpam-4103	78	19	ℓ2	ℓ2	NOUN
ejpam-4103	78	20	=	=	SYM
ejpam-4103	78	21	2r2/(4a2	2r2/(4a2	NUM
ejpam-4103	79	1	+	+	CCONJ
ejpam-4103	79	2	4ab	4ab	ADJ
ejpam-4103	79	3	+	+	PUNCT
ejpam-4103	79	4	16ar2	16ar2	NUM
ejpam-4103	80	1	+	+	CCONJ
ejpam-4103	80	2	8a	8a	NUM
ejpam-4103	80	3	+	+	NUM
ejpam-4103	80	4	4b	4b	X
ejpam-4103	80	5	+	+	CCONJ
ejpam-4103	81	1	12r4	12r4	NUM
ejpam-4103	81	2	+	+	NUM
ejpam-4103	81	3	16r2	16r2	NUM
ejpam-4103	81	4	+	+	CCONJ
ejpam-4103	81	5	8r2b	8r2b	NUM
ejpam-4103	82	1	+	+	CCONJ
ejpam-4103	82	2	4	4	NUM
ejpam-4103	82	3	+	+	NUM
ejpam-4103	82	4	b2	b2	NOUN
ejpam-4103	82	5	)	)	PUNCT
ejpam-4103	82	6	;	;	PUNCT
ejpam-4103	83	1	ℓ3	ℓ3	NOUN
ejpam-4103	83	2	=	=	SYM
ejpam-4103	83	3	4r4/(8a3	4r4/(8a3	PROPN
ejpam-4103	83	4	+	+	CCONJ
ejpam-4103	83	5	12a2b	12a2b	NOUN
ejpam-4103	83	6	+	+	NUM
ejpam-4103	83	7	48a2r2	48a2r2	NOUN
ejpam-4103	83	8	+	+	X
ejpam-4103	83	9	24a2	24a2	NUM
ejpam-4103	83	10	+	+	NUM
ejpam-4103	83	11	24ab	24ab	ADJ
ejpam-4103	83	12	+	+	NUM
ejpam-4103	83	13	88ar4	88ar4	NOUN
ejpam-4103	83	14	+	+	CCONJ
ejpam-4103	83	15	96ar2	96ar2	NUM
ejpam-4103	83	16	+48ar2b	+48ar2b	NUM
ejpam-4103	83	17	+	+	NUM
ejpam-4103	83	18	24a	24a	NOUN
ejpam-4103	83	19	+	+	CCONJ
ejpam-4103	83	20	6ab2	6ab2	NUM
ejpam-4103	83	21	+	+	CCONJ
ejpam-4103	83	22	12r2b2	12r2b2	NUM
ejpam-4103	83	23	+	+	NUM
ejpam-4103	83	24	12b	12b	NOUN
ejpam-4103	83	25	+	+	CCONJ
ejpam-4103	83	26	8	8	NUM
ejpam-4103	83	27	+	+	SYM
ejpam-4103	83	28	48r2	48r2	PROPN
ejpam-4103	83	29	+	+	NUM
ejpam-4103	83	30	b3	b3	PROPN
ejpam-4103	83	31	+88r4	+88r4	NUM
ejpam-4103	83	32	+	+	NUM
ejpam-4103	83	33	44r4b	44r4b	NOUN
ejpam-4103	83	34	+	+	CCONJ
ejpam-4103	83	35	48r6	48r6	NUM
ejpam-4103	83	36	+	+	NUM
ejpam-4103	83	37	48r2b	48r2b	NOUN
ejpam-4103	83	38	+	+	CCONJ
ejpam-4103	83	39	6b2	6b2	NUM
ejpam-4103	83	40	)	)	PUNCT
ejpam-4103	83	41	.	.	PUNCT
ejpam-4103	84	1	similarly	similarly	ADV
ejpam-4103	84	2	,	,	PUNCT
ejpam-4103	84	3	the	the	DET
ejpam-4103	84	4	formulation	formulation	NOUN
ejpam-4103	84	5	of	of	ADP
ejpam-4103	84	6	edg	edg	PROPN
ejpam-4103	84	7	method	method	NOUN
ejpam-4103	84	8	can	can	AUX
ejpam-4103	84	9	be	be	AUX
ejpam-4103	84	10	done	do	VERB
ejpam-4103	84	11	by	by	ADP
ejpam-4103	84	12	applying	apply	VERB
ejpam-4103	84	13	equation	equation	NOUN
ejpam-4103	84	14	(	(	PUNCT
ejpam-4103	84	15	5	5	NUM
ejpam-4103	84	16	)	)	PUNCT
ejpam-4103	84	17	to	to	ADP
ejpam-4103	84	18	any	any	DET
ejpam-4103	84	19	group	group	NOUN
ejpam-4103	84	20	of	of	ADP
ejpam-4103	84	21	four	four	NUM
ejpam-4103	84	22	points	point	NOUN
ejpam-4103	84	23	of	of	ADP
ejpam-4103	84	24	the	the	DET
ejpam-4103	84	25	solution	solution	NOUN
ejpam-4103	84	26	domain	domain	NOUN
ejpam-4103	84	27	will	will	AUX
ejpam-4103	84	28	result	result	VERB
ejpam-4103	84	29	in	in	ADP
ejpam-4103	84	30	a	a	DET
ejpam-4103	84	31	4×4	4×4	NUM
ejpam-4103	84	32	system	system	NOUN
ejpam-4103	84	33	of	of	ADP
ejpam-4103	84	34	equations	equation	NOUN
ejpam-4103	84	35	as	as	SCONJ
ejpam-4103	84	36	follows	follow	VERB
ejpam-4103	84	37	:	:	PUNCT
ejpam-4103	84	38			PROPN
ejpam-4103	84	39	q1	q1	PROPN
ejpam-4103	84	40	q2	q2	PROPN
ejpam-4103	84	41	0	0	NUM
ejpam-4103	84	42	0	0	NUM
ejpam-4103	84	43	q2	q2	PROPN
ejpam-4103	84	44	q1	q1	PROPN
ejpam-4103	84	45	0	0	NUM
ejpam-4103	84	46	0	0	NUM
ejpam-4103	84	47	0	0	NUM
ejpam-4103	84	48	0	0	NUM
ejpam-4103	84	49	q1	q1	PROPN
ejpam-4103	84	50	q2	q2	NOUN
ejpam-4103	84	51	0	0	NUM
ejpam-4103	84	52	0	0	NUM
ejpam-4103	84	53	q2	q2	PROPN
ejpam-4103	84	54	q1	q1	PROPN
ejpam-4103	84	55			ADV
ejpam-4103	84	56			PROPN
ejpam-4103	84	57	ui	ui	PROPN
ejpam-4103	84	58	,	,	PUNCT
ejpam-4103	84	59	j	j	PROPN
ejpam-4103	84	60	,	,	PUNCT
ejpam-4103	84	61	m+1	m+1	NUM
ejpam-4103	84	62	ui+1,j+1,m+1	ui+1,j+1,m+1	ADJ
ejpam-4103	84	63	ui+1,j	ui+1,j	NOUN
ejpam-4103	84	64	,	,	PUNCT
ejpam-4103	84	65	m+1	m+1	PROPN
ejpam-4103	84	66	ui	ui	NOUN
ejpam-4103	84	67	,	,	PUNCT
ejpam-4103	84	68	j+1,m+1	j+1,m+1	NOUN
ejpam-4103	84	69			NOUN
ejpam-4103	84	70	=	=	PUNCT
ejpam-4103	84	71			PROPN
ejpam-4103	84	72	rhsi	rhsi	NOUN
ejpam-4103	84	73	,	,	PUNCT
ejpam-4103	84	74	j	j	PROPN
ejpam-4103	84	75	rhsi+1,j+1	rhsi+1,j+1	PROPN
ejpam-4103	84	76	rhsi+1,j	rhsi+1,j	ADJ
ejpam-4103	84	77	rhsi	rhsi	NOUN
ejpam-4103	84	78	,	,	PUNCT
ejpam-4103	84	79	j+1	j+1	PROPN
ejpam-4103	84	80			PROPN
ejpam-4103	84	81	(	(	PUNCT
ejpam-4103	84	82	8)	8)	NUM
ejpam-4103	84	83	where	where	SCONJ
ejpam-4103	84	84	q1	q1	NOUN
ejpam-4103	84	85	=	=	NOUN
ejpam-4103	84	86	1	1	NUM
ejpam-4103	84	87	+	+	CCONJ
ejpam-4103	84	88	a	a	DET
ejpam-4103	84	89	+	+	NUM
ejpam-4103	84	90	r2	r2	NOUN
ejpam-4103	84	91	+	+	CCONJ
ejpam-4103	84	92	b	b	SYM
ejpam-4103	84	93	2	2	NUM
ejpam-4103	84	94	,	,	PUNCT
ejpam-4103	84	95	q2	q2	NOUN
ejpam-4103	84	96	=	=	SYM
ejpam-4103	84	97	−	−	PROPN
ejpam-4103	84	98	r2	r2	PROPN
ejpam-4103	84	99	4	4	NUM
ejpam-4103	84	100	,	,	PUNCT
ejpam-4103	84	101	rhsi	rhsi	NOUN
ejpam-4103	84	102	,	,	PUNCT
ejpam-4103	84	103	j	j	X
ejpam-4103	85	1	=	=	PRON
ejpam-4103	85	2	(	(	PUNCT
ejpam-4103	85	3	r2	r2	PROPN
ejpam-4103	85	4	4	4	NUM
ejpam-4103	85	5	)	)	PUNCT
ejpam-4103	86	1	[	[	X
ejpam-4103	86	2	ui−1,j−1,m+1	ui−1,j−1,m+1	X
ejpam-4103	86	3	+	+	CCONJ
ejpam-4103	86	4	ui+1,j−1,m+1	ui+1,j−1,m+1	ADJ
ejpam-4103	86	5	+	+	X
ejpam-4103	86	6	ui−1,j+1,m+1	ui−1,j+1,m+1	X
ejpam-4103	86	7	]	]	X
ejpam-4103	86	8	+	+	CCONJ
ejpam-4103	86	9	(	(	PUNCT
ejpam-4103	86	10	r2	r2	PROPN
ejpam-4103	86	11	4	4	NUM
ejpam-4103	86	12	)	)	PUNCT
ejpam-4103	87	1	[	[	X
ejpam-4103	87	2	ui−1,j−1,m	ui−1,j−1,m	X
ejpam-4103	87	3	+	+	NUM
ejpam-4103	87	4	ui+1,j−1,m	ui+1,j−1,m	ADJ
ejpam-4103	87	5	+	+	ADJ
ejpam-4103	87	6	ui+1,j+1,m	ui+1,j+1,m	ADJ
ejpam-4103	87	7	+	+	CCONJ
ejpam-4103	87	8	ui−1,j+1,m	ui−1,j+1,m	NOUN
ejpam-4103	87	9	]	]	X
ejpam-4103	88	1	+	+	CCONJ
ejpam-4103	88	2	(	(	PUNCT
ejpam-4103	88	3	2	2	NUM
ejpam-4103	88	4	−	−	PROPN
ejpam-4103	88	5	r2	r2	NOUN
ejpam-4103	88	6	−	−	PROPN
ejpam-4103	88	7	b	b	PROPN
ejpam-4103	89	1	2)ui	2)ui	NUM
ejpam-4103	89	2	,	,	PUNCT
ejpam-4103	89	3	j	j	NOUN
ejpam-4103	89	4	,	,	PUNCT
ejpam-4103	89	5	m	m	VERB
ejpam-4103	89	6	+	+	X
ejpam-4103	89	7	(	(	PUNCT
ejpam-4103	89	8	a	a	DET
ejpam-4103	89	9	−	−	PROPN
ejpam-4103	89	10	1)ui	1)ui	PROPN
ejpam-4103	89	11	,	,	PUNCT
ejpam-4103	89	12	j	j	NOUN
ejpam-4103	89	13	,	,	PUNCT
ejpam-4103	89	14	m−1	m−1	PROPN
ejpam-4103	89	15	+	+	CCONJ
ejpam-4103	89	16	∆t2	∆t2	VERB
ejpam-4103	89	17	fi	fi	NOUN
ejpam-4103	89	18	,	,	PUNCT
ejpam-4103	89	19	j	j	PROPN
ejpam-4103	89	20	,	,	PUNCT
ejpam-4103	89	21	m+	m+	NOUN
ejpam-4103	89	22	1	1	NUM
ejpam-4103	89	23	2	2	NUM
ejpam-4103	89	24	,	,	PUNCT
ejpam-4103	89	25	rhsi+1,j+1	rhsi+1,j+1	NOUN
ejpam-4103	89	26	=	=	SYM
ejpam-4103	89	27	(	(	PUNCT
ejpam-4103	89	28	r2	r2	PROPN
ejpam-4103	89	29	4	4	NUM
ejpam-4103	89	30	)	)	PUNCT
ejpam-4103	90	1	[	[	X
ejpam-4103	90	2	ui+2,j	ui+2,j	ADJ
ejpam-4103	90	3	,	,	PUNCT
ejpam-4103	90	4	m+1	m+1	PROPN
ejpam-4103	90	5	+	+	NUM
ejpam-4103	90	6	ui+2,j+2,m+1	ui+2,j+2,m+1	PROPN
ejpam-4103	90	7	+	+	PROPN
ejpam-4103	90	8	ui	ui	PROPN
ejpam-4103	90	9	,	,	PUNCT
ejpam-4103	90	10	j+2,m+1	j+2,m+1	PROPN
ejpam-4103	90	11	]	]	PUNCT
ejpam-4103	90	12	+	+	CCONJ
ejpam-4103	90	13	(	(	PUNCT
ejpam-4103	90	14	r2	r2	PROPN
ejpam-4103	90	15	4	4	NUM
ejpam-4103	90	16	)	)	PUNCT
ejpam-4103	90	17	[	[	X
ejpam-4103	90	18	ui	ui	PROPN
ejpam-4103	90	19	,	,	PUNCT
ejpam-4103	90	20	j	j	PROPN
ejpam-4103	90	21	,	,	PUNCT
ejpam-4103	90	22	m	m	VERB
ejpam-4103	90	23	+	+	NOUN
ejpam-4103	90	24	ui+2,j	ui+2,j	ADJ
ejpam-4103	90	25	,	,	PUNCT
ejpam-4103	90	26	m	m	VERB
ejpam-4103	90	27	+	+	CCONJ
ejpam-4103	90	28	ui+2,j+2,m	ui+2,j+2,m	ADJ
ejpam-4103	90	29	+	+	CCONJ
ejpam-4103	90	30	ui	ui	PROPN
ejpam-4103	90	31	,	,	PUNCT
ejpam-4103	90	32	j+2,m	j+2,m	PROPN
ejpam-4103	90	33	]	]	X
ejpam-4103	90	34	+	+	CCONJ
ejpam-4103	90	35	(	(	PUNCT
ejpam-4103	90	36	2	2	NUM
ejpam-4103	90	37	−	−	PROPN
ejpam-4103	90	38	r2	r2	NOUN
ejpam-4103	90	39	−	−	PROPN
ejpam-4103	90	40	b	b	NOUN
ejpam-4103	90	41	2)ui+1,j+1,m	2)ui+1,j+1,m	NUM
ejpam-4103	90	42	+	+	NOUN
ejpam-4103	90	43	(	(	PUNCT
ejpam-4103	90	44	a	a	DET
ejpam-4103	90	45	−	−	PROPN
ejpam-4103	90	46	1)ui+1,j+1,m−1	1)ui+1,j+1,m−1	NOUN
ejpam-4103	90	47	+	+	CCONJ
ejpam-4103	90	48	∆t2	∆t2	VERB
ejpam-4103	90	49	fi+1,j+1,m+	fi+1,j+1,m+	PROPN
ejpam-4103	90	50	1	1	NUM
ejpam-4103	90	51	2	2	NUM
ejpam-4103	90	52	,	,	PUNCT
ejpam-4103	90	53	rhsi+1,j	rhsi+1,j	NOUN
ejpam-4103	90	54	=	=	SYM
ejpam-4103	90	55	(	(	PUNCT
ejpam-4103	90	56	r2	r2	PROPN
ejpam-4103	90	57	4	4	NUM
ejpam-4103	90	58	)	)	PUNCT
ejpam-4103	91	1	[	[	X
ejpam-4103	91	2	ui	ui	PROPN
ejpam-4103	91	3	,	,	PUNCT
ejpam-4103	91	4	j−1,m+1	j−1,m+1	PROPN
ejpam-4103	91	5	+	+	X
ejpam-4103	91	6	ui+2,j−1,m+1	ui+2,j−1,m+1	PROPN
ejpam-4103	91	7	+	+	X
ejpam-4103	91	8	ui+2,j+1,m+1	ui+2,j+1,m+1	X
ejpam-4103	91	9	]	]	X
ejpam-4103	91	10	+	+	CCONJ
ejpam-4103	91	11	(	(	PUNCT
ejpam-4103	91	12	r2	r2	PROPN
ejpam-4103	91	13	4	4	NUM
ejpam-4103	91	14	)	)	PUNCT
ejpam-4103	92	1	[	[	X
ejpam-4103	92	2	ui	ui	PROPN
ejpam-4103	92	3	,	,	PUNCT
ejpam-4103	92	4	j−1,m	j−1,m	PROPN
ejpam-4103	92	5	+	+	X
ejpam-4103	92	6	ui+2,j−1,m	ui+2,j−1,m	NOUN
ejpam-4103	92	7	+	+	CCONJ
ejpam-4103	92	8	ui+2,j+1,m	ui+2,j+1,m	PROPN
ejpam-4103	92	9	+	+	CCONJ
ejpam-4103	92	10	ui	ui	PROPN
ejpam-4103	92	11	,	,	PUNCT
ejpam-4103	92	12	j+1,m	j+1,m	PROPN
ejpam-4103	92	13	]	]	X
ejpam-4103	93	1	+	+	CCONJ
ejpam-4103	93	2	(	(	PUNCT
ejpam-4103	93	3	2	2	NUM
ejpam-4103	93	4	−	−	PROPN
ejpam-4103	93	5	r2	r2	NOUN
ejpam-4103	93	6	−	−	PROPN
ejpam-4103	93	7	b	b	NOUN
ejpam-4103	93	8	2)ui+1,j	2)ui+1,j	NUM
ejpam-4103	93	9	,	,	PUNCT
ejpam-4103	93	10	m	m	VERB
ejpam-4103	93	11	+	+	NOUN
ejpam-4103	93	12	(	(	PUNCT
ejpam-4103	93	13	a	a	DET
ejpam-4103	93	14	−	−	PROPN
ejpam-4103	93	15	1)ui+1,j	1)ui+1,j	NUM
ejpam-4103	93	16	,	,	PUNCT
ejpam-4103	93	17	m−1	m−1	PROPN
ejpam-4103	93	18	+	+	CCONJ
ejpam-4103	93	19	∆t2	∆t2	VERB
ejpam-4103	93	20	fi+1,j	fi+1,j	NOUN
ejpam-4103	93	21	,	,	PUNCT
ejpam-4103	93	22	m+	m+	NOUN
ejpam-4103	93	23	1	1	NUM
ejpam-4103	93	24	2	2	NUM
ejpam-4103	93	25	,	,	PUNCT
ejpam-4103	93	26	rhsi	rhsi	NOUN
ejpam-4103	93	27	,	,	PUNCT
ejpam-4103	93	28	j+1	j+1	X
ejpam-4103	93	29	=	=	SYM
ejpam-4103	93	30	(	(	PUNCT
ejpam-4103	93	31	r2	r2	PROPN
ejpam-4103	93	32	4	4	NUM
ejpam-4103	93	33	)	)	PUNCT
ejpam-4103	94	1	[	[	X
ejpam-4103	94	2	ui−1,j	ui−1,j	NOUN
ejpam-4103	94	3	,	,	PUNCT
ejpam-4103	94	4	m+1	m+1	PROPN
ejpam-4103	94	5	+	+	NUM
ejpam-4103	94	6	ui+1,j+2,m+1	ui+1,j+2,m+1	PROPN
ejpam-4103	94	7	+	+	X
ejpam-4103	94	8	ui−1,j+2,m+1	ui−1,j+2,m+1	X
ejpam-4103	94	9	]	]	X
ejpam-4103	94	10	+	+	CCONJ
ejpam-4103	94	11	(	(	PUNCT
ejpam-4103	94	12	r2	r2	PROPN
ejpam-4103	94	13	4	4	NUM
ejpam-4103	94	14	)	)	PUNCT
ejpam-4103	95	1	[	[	X
ejpam-4103	95	2	ui−1,j	ui−1,j	X
ejpam-4103	95	3	,	,	PUNCT
ejpam-4103	95	4	m	m	VERB
ejpam-4103	95	5	+	+	NOUN
ejpam-4103	95	6	ui+1,j	ui+1,j	NOUN
ejpam-4103	95	7	,	,	PUNCT
ejpam-4103	95	8	m	m	AUX
ejpam-4103	95	9	+	+	NUM
ejpam-4103	95	10	ui+1,j+2,m	ui+1,j+2,m	ADJ
ejpam-4103	95	11	+	+	CCONJ
ejpam-4103	95	12	ui−1,j+2,m	ui−1,j+2,m	NOUN
ejpam-4103	95	13	]	]	X
ejpam-4103	95	14	+	+	CCONJ
ejpam-4103	95	15	(	(	PUNCT
ejpam-4103	95	16	2	2	NUM
ejpam-4103	95	17	−	−	PROPN
ejpam-4103	95	18	r2	r2	NOUN
ejpam-4103	95	19	−	−	PROPN
ejpam-4103	95	20	b	b	PROPN
ejpam-4103	96	1	2)ui	2)ui	NUM
ejpam-4103	96	2	,	,	PUNCT
ejpam-4103	96	3	j+1,m	j+1,m	PROPN
ejpam-4103	96	4	+	+	PROPN
ejpam-4103	96	5	(	(	PUNCT
ejpam-4103	96	6	a	a	DET
ejpam-4103	96	7	−	−	PROPN
ejpam-4103	96	8	1)ui	1)ui	NUM
ejpam-4103	96	9	,	,	PUNCT
ejpam-4103	96	10	j+1,m−1	j+1,m−1	PROPN
ejpam-4103	96	11	+	+	CCONJ
ejpam-4103	96	12	∆t2	∆t2	VERB
ejpam-4103	96	13	fi	fi	NOUN
ejpam-4103	96	14	,	,	PUNCT
ejpam-4103	96	15	j+1,m+	j+1,m+	NOUN
ejpam-4103	96	16	1	1	NUM
ejpam-4103	96	17	2	2	NUM
ejpam-4103	96	18	.	.	PUNCT
ejpam-4103	97	1	the	the	DET
ejpam-4103	97	2	system	system	NOUN
ejpam-4103	97	3	of	of	ADP
ejpam-4103	97	4	equations	equation	NOUN
ejpam-4103	97	5	(	(	PUNCT
ejpam-4103	97	6	8)	8)	NUM
ejpam-4103	97	7	can	can	AUX
ejpam-4103	97	8	be	be	AUX
ejpam-4103	97	9	written	write	VERB
ejpam-4103	97	10	in	in	ADP
ejpam-4103	97	11	an	an	DET
ejpam-4103	97	12	explicit	explicit	ADJ
ejpam-4103	97	13	decoupled	decouple	VERB
ejpam-4103	97	14	system	system	NOUN
ejpam-4103	97	15	of	of	ADP
ejpam-4103	97	16	2×2	2×2	NUM
ejpam-4103	97	17	equations	equation	NOUN
ejpam-4103	97	18	as	as	SCONJ
ejpam-4103	97	19	follows	follow	VERB
ejpam-4103	97	20	(	(	PUNCT
ejpam-4103	97	21	ui	ui	PROPN
ejpam-4103	97	22	,	,	PUNCT
ejpam-4103	97	23	j	j	PROPN
ejpam-4103	97	24	,	,	PUNCT
ejpam-4103	97	25	m+1	m+1	PROPN
ejpam-4103	97	26	ui+1,j+1,m+1	ui+1,j+1,m+1	ADJ
ejpam-4103	97	27	)	)	PUNCT
ejpam-4103	97	28	=	=	SYM
ejpam-4103	97	29	1	1	NUM
ejpam-4103	97	30	l	l	NOUN
ejpam-4103	98	1	(	(	PUNCT
ejpam-4103	98	2	ξ1	ξ1	NOUN
ejpam-4103	98	3	ξ2	ξ2	VERB
ejpam-4103	98	4	ξ2	ξ2	ADJ
ejpam-4103	98	5	ξ1	ξ1	NOUN
ejpam-4103	98	6	)	)	PUNCT
ejpam-4103	98	7	(	(	PUNCT
ejpam-4103	98	8	rhsi	rhsi	NOUN
ejpam-4103	98	9	,	,	PUNCT
ejpam-4103	98	10	j	j	PROPN
ejpam-4103	98	11	rhsi+1,j+1	rhsi+1,j+1	NOUN
ejpam-4103	98	12	)	)	PUNCT
ejpam-4103	98	13	and	and	CCONJ
ejpam-4103	98	14	(	(	PUNCT
ejpam-4103	98	15	ui+1,j	ui+1,j	NOUN
ejpam-4103	98	16	,	,	PUNCT
ejpam-4103	98	17	m+1	m+1	PROPN
ejpam-4103	98	18	ui	ui	PROPN
ejpam-4103	98	19	,	,	PUNCT
ejpam-4103	98	20	j+1,m+1	j+1,m+1	NOUN
ejpam-4103	98	21	)	)	PUNCT
ejpam-4103	98	22	=	=	SYM
ejpam-4103	99	1	1	1	NUM
ejpam-4103	99	2	l	l	NOUN
ejpam-4103	99	3	(	(	PUNCT
ejpam-4103	99	4	ξ1	ξ1	NOUN
ejpam-4103	99	5	ξ2	ξ2	VERB
ejpam-4103	99	6	ξ2	ξ2	ADJ
ejpam-4103	99	7	ξ1	ξ1	NOUN
ejpam-4103	99	8	)	)	PUNCT
ejpam-4103	99	9	(	(	PUNCT
ejpam-4103	99	10	rhsi+1,j	rhsi+1,j	NOUN
ejpam-4103	99	11	rhsi	rhsi	NOUN
ejpam-4103	99	12	,	,	PUNCT
ejpam-4103	99	13	j+1	j+1	NUM
ejpam-4103	99	14	)	)	PUNCT
ejpam-4103	99	15	(	(	PUNCT
ejpam-4103	99	16	9	9	X
ejpam-4103	99	17	)	)	PUNCT
ejpam-4103	100	1	where	where	SCONJ
ejpam-4103	100	2	l	l	NOUN
ejpam-4103	101	1	=	=	PUNCT
ejpam-4103	102	1	16	16	NUM
ejpam-4103	103	1	+	+	NUM
ejpam-4103	103	2	32a	32a	NOUN
ejpam-4103	103	3	+	+	CCONJ
ejpam-4103	103	4	32r2	32r2	NUM
ejpam-4103	103	5	+	+	NOUN
ejpam-4103	103	6	16b	16b	NUM
ejpam-4103	103	7	+	+	CCONJ
ejpam-4103	103	8	32ar2	32ar2	NUM
ejpam-4103	104	1	+	+	SYM
ejpam-4103	104	2	16a2	16a2	NUM
ejpam-4103	104	3	+	+	NUM
ejpam-4103	104	4	16ab	16ab	ADJ
ejpam-4103	105	1	+	+	CCONJ
ejpam-4103	106	1	15r4	15r4	NUM
ejpam-4103	106	2	+	+	NUM
ejpam-4103	106	3	16r2b	16r2b	NUM
ejpam-4103	106	4	+	+	CCONJ
ejpam-4103	106	5	4b2	4b2	NOUN
ejpam-4103	106	6	;	;	PUNCT
ejpam-4103	106	7	ξ1	ξ1	NOUN
ejpam-4103	106	8	=	=	SYM
ejpam-4103	106	9	8(2	8(2	PROPN
ejpam-4103	107	1	+	+	NUM
ejpam-4103	107	2	2a	2a	NUM
ejpam-4103	107	3	+	+	CCONJ
ejpam-4103	107	4	2r2	2r2	NUM
ejpam-4103	107	5	+	+	SYM
ejpam-4103	107	6	b	b	X
ejpam-4103	107	7	)	)	PUNCT
ejpam-4103	107	8	;	;	PUNCT
ejpam-4103	107	9	ξ2	ξ2	NOUN
ejpam-4103	107	10	=	=	SYM
ejpam-4103	107	11	4r2	4r2	NUM
ejpam-4103	107	12	.	.	PUNCT
ejpam-4103	108	1	in	in	ADP
ejpam-4103	108	2	the	the	DET
ejpam-4103	108	3	edg	edg	NOUN
ejpam-4103	108	4	method	method	NOUN
ejpam-4103	108	5	,	,	PUNCT
ejpam-4103	108	6	the	the	DET
ejpam-4103	108	7	grid	grid	NOUN
ejpam-4103	108	8	points	point	NOUN
ejpam-4103	108	9	are	be	AUX
ejpam-4103	108	10	gathered	gather	VERB
ejpam-4103	108	11	into	into	ADP
ejpam-4103	108	12	groups	group	NOUN
ejpam-4103	108	13	which	which	PRON
ejpam-4103	108	14	can	can	AUX
ejpam-4103	108	15	consists	consist	VERB
ejpam-4103	108	16	of	of	ADP
ejpam-4103	108	17	only	only	ADV
ejpam-4103	108	18	2	2	NUM
ejpam-4103	108	19	grid	grid	NOUN
ejpam-4103	108	20	points	point	NOUN
ejpam-4103	108	21	.	.	PUNCT
ejpam-4103	109	1	each	each	DET
ejpam-4103	109	2	value	value	NOUN
ejpam-4103	109	3	for	for	ADP
ejpam-4103	109	4	u	u	NOUN
ejpam-4103	109	5	of	of	ADP
ejpam-4103	109	6	every	every	DET
ejpam-4103	109	7	grid	grid	NOUN
ejpam-4103	109	8	point	point	NOUN
ejpam-4103	109	9	is	be	AUX
ejpam-4103	109	10	approximated	approximate	VERB
ejpam-4103	109	11	by	by	ADP
ejpam-4103	109	12	the	the	DET
ejpam-4103	109	13	rotated	rotate	VERB
ejpam-4103	109	14	point	point	NOUN
ejpam-4103	109	15	formula	formula	NOUN
ejpam-4103	109	16	.	.	PUNCT
ejpam-4103	110	1	these	these	DET
ejpam-4103	110	2	values	value	NOUN
ejpam-4103	110	3	are	be	AUX
ejpam-4103	110	4	calculated	calculate	VERB
ejpam-4103	110	5	with	with	ADP
ejpam-4103	110	6	a	a	DET
ejpam-4103	110	7	sequence	sequence	NOUN
ejpam-4103	110	8	from	from	ADP
ejpam-4103	110	9	left	left	ADJ
ejpam-4103	110	10	to	to	ADP
ejpam-4103	110	11	right	right	NOUN
ejpam-4103	110	12	and	and	CCONJ
ejpam-4103	110	13	then	then	ADV
ejpam-4103	110	14	upwards	upwards	ADV
ejpam-4103	110	15	.	.	PUNCT
ejpam-4103	111	1	hence	hence	ADV
ejpam-4103	111	2	,	,	PUNCT
ejpam-4103	111	3	the	the	DET
ejpam-4103	111	4	iteration	iteration	NOUN
ejpam-4103	111	5	over	over	ADP
ejpam-4103	111	6	the	the	DET
ejpam-4103	111	7	solution	solution	NOUN
ejpam-4103	111	8	domain	domain	NOUN
ejpam-4103	111	9	is	be	AUX
ejpam-4103	111	10	only	only	ADV
ejpam-4103	111	11	carried	carry	VERB
ejpam-4103	111	12	out	out	ADP
ejpam-4103	111	13	on	on	ADP
ejpam-4103	111	14	half	half	DET
ejpam-4103	111	15	the	the	DET
ejpam-4103	111	16	mesh	mesh	NOUN
ejpam-4103	111	17	points	point	NOUN
ejpam-4103	111	18	.	.	PUNCT
ejpam-4103	112	1	once	once	ADV
ejpam-4103	112	2	convergence	convergence	NOUN
ejpam-4103	112	3	is	be	AUX
ejpam-4103	112	4	achieved	achieve	VERB
ejpam-4103	112	5	,	,	PUNCT
ejpam-4103	112	6	the	the	DET
ejpam-4103	112	7	solution	solution	NOUN
ejpam-4103	112	8	at	at	ADP
ejpam-4103	112	9	the	the	DET
ejpam-4103	112	10	other	other	ADJ
ejpam-4103	112	11	half	half	NOUN
ejpam-4103	112	12	of	of	ADP
ejpam-4103	112	13	the	the	DET
ejpam-4103	112	14	points	point	NOUN
ejpam-4103	112	15	is	be	AUX
ejpam-4103	112	16	obtained	obtain	VERB
ejpam-4103	112	17	directly	directly	ADV
ejpam-4103	112	18	once	once	ADV
ejpam-4103	112	19	using	use	VERB
ejpam-4103	112	20	the	the	DET
ejpam-4103	112	21	standard	standard	ADJ
ejpam-4103	112	22	point	point	NOUN
ejpam-4103	112	23	difference	difference	NOUN
ejpam-4103	112	24	formula	formula	NOUN
ejpam-4103	112	25	[	[	X
ejpam-4103	112	26	1	1	NUM
ejpam-4103	112	27	]	]	PUNCT
ejpam-4103	112	28	.	.	PUNCT
ejpam-4103	113	1	a.	a.	PROPN
ejpam-4103	113	2	m.	m.	PROPN
ejpam-4103	113	3	saeed	saeed	PROPN
ejpam-4103	113	4	/	/	SYM
ejpam-4103	113	5	eur	eur	PROPN
ejpam-4103	113	6	.	.	PUNCT
ejpam-4103	114	1	j.	j.	PROPN
ejpam-4103	114	2	pure	pure	PROPN
ejpam-4103	114	3	appl	appl	PROPN
ejpam-4103	114	4	.	.	PROPN
ejpam-4103	114	5	math	math	PROPN
ejpam-4103	114	6	,	,	PUNCT
ejpam-4103	114	7	14	14	NUM
ejpam-4103	114	8	(	(	PUNCT
ejpam-4103	114	9	4	4	NUM
ejpam-4103	114	10	)	)	PUNCT
ejpam-4103	114	11	(	(	PUNCT
ejpam-4103	114	12	2021	2021	NUM
ejpam-4103	114	13	)	)	PUNCT
ejpam-4103	114	14	,	,	PUNCT
ejpam-4103	114	15	1266	1266	NUM
ejpam-4103	114	16	-	-	SYM
ejpam-4103	114	17	1274	1274	NUM
ejpam-4103	114	18	1270	1270	NUM
ejpam-4103	114	19	3	3	NUM
ejpam-4103	114	20	.	.	PUNCT
ejpam-4103	115	1	the	the	DET
ejpam-4103	115	2	proposed	propose	VERB
ejpam-4103	115	3	preconditioned	preconditioned	ADJ
ejpam-4103	115	4	technique	technique	NOUN
ejpam-4103	115	5	the	the	DET
ejpam-4103	115	6	convergence	convergence	NOUN
ejpam-4103	115	7	rates	rate	NOUN
ejpam-4103	115	8	of	of	ADP
ejpam-4103	115	9	the	the	DET
ejpam-4103	115	10	group	group	NOUN
ejpam-4103	115	11	iterative	iterative	NOUN
ejpam-4103	115	12	methods	method	NOUN
ejpam-4103	115	13	as	as	ADP
ejpam-4103	115	14	eg	eg	NOUN
ejpam-4103	115	15	and	and	CCONJ
ejpam-4103	115	16	edg	edg	PROPN
ejpam-4103	115	17	depend	depend	VERB
ejpam-4103	115	18	on	on	ADP
ejpam-4103	115	19	the	the	DET
ejpam-4103	115	20	spectral	spectral	ADJ
ejpam-4103	115	21	properties	property	NOUN
ejpam-4103	115	22	of	of	ADP
ejpam-4103	115	23	the	the	DET
ejpam-4103	115	24	coefficient	coefficient	NOUN
ejpam-4103	115	25	matrices	matrix	NOUN
ejpam-4103	115	26	[	[	X
ejpam-4103	115	27	3	3	NUM
ejpam-4103	115	28	,	,	PUNCT
ejpam-4103	115	29	11	11	NUM
ejpam-4103	115	30	]	]	PUNCT
ejpam-4103	115	31	.	.	PUNCT
ejpam-4103	116	1	a	a	DET
ejpam-4103	116	2	preconditioner	preconditioner	NOUN
ejpam-4103	116	3	is	be	AUX
ejpam-4103	116	4	a	a	DET
ejpam-4103	116	5	matrix	matrix	NOUN
ejpam-4103	116	6	that	that	PRON
ejpam-4103	116	7	transforms	transform	VERB
ejpam-4103	116	8	the	the	DET
ejpam-4103	116	9	resulted	resulted	ADJ
ejpam-4103	116	10	system	system	NOUN
ejpam-4103	116	11	of	of	ADP
ejpam-4103	116	12	these	these	DET
ejpam-4103	116	13	methods	method	NOUN
ejpam-4103	116	14	into	into	ADP
ejpam-4103	116	15	one	one	NUM
ejpam-4103	116	16	that	that	PRON
ejpam-4103	116	17	is	be	AUX
ejpam-4103	116	18	equivalent	equivalent	ADJ
ejpam-4103	116	19	in	in	ADP
ejpam-4103	116	20	the	the	DET
ejpam-4103	116	21	sense	sense	NOUN
ejpam-4103	116	22	that	that	SCONJ
ejpam-4103	116	23	it	it	PRON
ejpam-4103	116	24	has	have	AUX
ejpam-4103	116	25	the	the	DET
ejpam-4103	116	26	same	same	ADJ
ejpam-4103	116	27	solution	solution	NOUN
ejpam-4103	116	28	,	,	PUNCT
ejpam-4103	116	29	but	but	CCONJ
ejpam-4103	116	30	that	that	PRON
ejpam-4103	116	31	has	have	VERB
ejpam-4103	116	32	more	more	ADV
ejpam-4103	116	33	favourable	favourable	ADJ
ejpam-4103	116	34	spectral	spectral	ADJ
ejpam-4103	116	35	properties	property	NOUN
ejpam-4103	116	36	.	.	PUNCT
ejpam-4103	117	1	an	an	DET
ejpam-4103	117	2	ongoing	ongoing	ADJ
ejpam-4103	117	3	research	research	NOUN
ejpam-4103	117	4	in	in	ADP
ejpam-4103	117	5	this	this	DET
ejpam-4103	117	6	area	area	NOUN
ejpam-4103	117	7	lies	lie	VERB
ejpam-4103	117	8	in	in	ADP
ejpam-4103	117	9	the	the	DET
ejpam-4103	117	10	formulation	formulation	NOUN
ejpam-4103	117	11	of	of	ADP
ejpam-4103	117	12	suitable	suitable	ADJ
ejpam-4103	117	13	preconditioners	preconditioner	NOUN
ejpam-4103	117	14	which	which	PRON
ejpam-4103	117	15	can	can	AUX
ejpam-4103	117	16	improve	improve	VERB
ejpam-4103	117	17	the	the	DET
ejpam-4103	117	18	convergence	convergence	NOUN
ejpam-4103	117	19	rates	rate	NOUN
ejpam-4103	117	20	of	of	ADP
ejpam-4103	117	21	iterative	iterative	ADJ
ejpam-4103	117	22	method	method	NOUN
ejpam-4103	117	23	[	[	X
ejpam-4103	117	24	5	5	NUM
ejpam-4103	117	25	,	,	PUNCT
ejpam-4103	117	26	13	13	NUM
ejpam-4103	117	27	,	,	PUNCT
ejpam-4103	117	28	14	14	NUM
ejpam-4103	117	29	]	]	PUNCT
ejpam-4103	117	30	.	.	PUNCT
ejpam-4103	118	1	dramatic	dramatic	ADJ
ejpam-4103	118	2	improvements	improvement	NOUN
ejpam-4103	118	3	are	be	AUX
ejpam-4103	118	4	possible	possible	ADJ
ejpam-4103	118	5	,	,	PUNCT
ejpam-4103	118	6	but	but	CCONJ
ejpam-4103	118	7	the	the	DET
ejpam-4103	118	8	difficulty	difficulty	NOUN
ejpam-4103	118	9	is	be	AUX
ejpam-4103	118	10	to	to	PART
ejpam-4103	118	11	construct	construct	VERB
ejpam-4103	118	12	the	the	DET
ejpam-4103	118	13	suitable	suitable	ADJ
ejpam-4103	118	14	preconditioner	preconditioner	NOUN
ejpam-4103	118	15	.	.	PUNCT
ejpam-4103	119	1	usually	usually	ADV
ejpam-4103	119	2	the	the	DET
ejpam-4103	119	3	systems	system	NOUN
ejpam-4103	119	4	(	(	PUNCT
ejpam-4103	119	5	7	7	NUM
ejpam-4103	119	6	)	)	PUNCT
ejpam-4103	119	7	and	and	CCONJ
ejpam-4103	119	8	(	(	PUNCT
ejpam-4103	119	9	9	9	NUM
ejpam-4103	119	10	)	)	PUNCT
ejpam-4103	119	11	resulted	result	VERB
ejpam-4103	119	12	from	from	ADP
ejpam-4103	119	13	eg	eg	NOUN
ejpam-4103	119	14	and	and	CCONJ
ejpam-4103	119	15	edg	edg	PROPN
ejpam-4103	119	16	methods	method	NOUN
ejpam-4103	119	17	respectively	respectively	ADV
ejpam-4103	119	18	are	be	AUX
ejpam-4103	119	19	large	large	ADJ
ejpam-4103	119	20	and	and	CCONJ
ejpam-4103	119	21	sparse	sparse	ADJ
ejpam-4103	119	22	.	.	PUNCT
ejpam-4103	120	1	by	by	ADP
ejpam-4103	120	2	using	use	VERB
ejpam-4103	120	3	the	the	DET
ejpam-4103	120	4	following	follow	VERB
ejpam-4103	120	5	preconditioner	preconditioner	NOUN
ejpam-4103	120	6	matrix	matrix	NOUN
ejpam-4103	120	7	ψ	ψ	NOUN
ejpam-4103	120	8	=	=	X
ejpam-4103	120	9			PROPN
ejpam-4103	120	10	q1	q1	NOUN
ejpam-4103	120	11	0	0	NUM
ejpam-4103	120	12	0	0	NUM
ejpam-4103	120	13	0	0	NUM
ejpam-4103	120	14	0	0	NUM
ejpam-4103	120	15	q1	q1	PROPN
ejpam-4103	120	16	0	0	NUM
ejpam-4103	120	17	0	0	NUM
ejpam-4103	120	18	0	0	NUM
ejpam-4103	120	19	0	0	NUM
ejpam-4103	120	20	0	0	NUM
ejpam-4103	120	21	c2	c2	PROPN
ejpam-4103	120	22	0	0	NUM
ejpam-4103	120	23	0	0	NUM
ejpam-4103	121	1	c2	c2	PROPN
ejpam-4103	121	2	0	0	PUNCT
ejpam-4103	122	1			PROPN
ejpam-4103	122	2	(	(	PUNCT
ejpam-4103	122	3	10	10	NUM
ejpam-4103	122	4	)	)	PUNCT
ejpam-4103	122	5	where	where	SCONJ
ejpam-4103	122	6	c2	c2	PROPN
ejpam-4103	122	7	and	and	CCONJ
ejpam-4103	122	8	q1	q1	PROPN
ejpam-4103	122	9	defined	define	VERB
ejpam-4103	122	10	as	as	ADP
ejpam-4103	122	11	equations	equation	NOUN
ejpam-4103	122	12	(	(	PUNCT
ejpam-4103	122	13	6	6	NUM
ejpam-4103	122	14	)	)	PUNCT
ejpam-4103	122	15	and	and	CCONJ
ejpam-4103	122	16	(	(	PUNCT
ejpam-4103	122	17	8)	8)	NUM
ejpam-4103	122	18	respectively	respectively	ADV
ejpam-4103	122	19	to	to	ADP
ejpam-4103	122	20	both	both	DET
ejpam-4103	122	21	eg	eg	NOUN
ejpam-4103	122	22	and	and	CCONJ
ejpam-4103	122	23	edg	edg	PROPN
ejpam-4103	122	24	,	,	PUNCT
ejpam-4103	122	25	we	we	PRON
ejpam-4103	122	26	will	will	AUX
ejpam-4103	122	27	obtain	obtain	VERB
ejpam-4103	122	28	new	new	ADJ
ejpam-4103	122	29	preconditioned	preconditioned	ADJ
ejpam-4103	122	30	systems	system	NOUN
ejpam-4103	122	31	.	.	PUNCT
ejpam-4103	123	1	the	the	DET
ejpam-4103	123	2	process	process	NOUN
ejpam-4103	123	3	of	of	ADP
ejpam-4103	123	4	obtaining	obtain	VERB
ejpam-4103	123	5	the	the	DET
ejpam-4103	123	6	new	new	ADJ
ejpam-4103	123	7	preconditioned	preconditioned	ADJ
ejpam-4103	123	8	system	system	NOUN
ejpam-4103	123	9	depend	depend	VERB
ejpam-4103	123	10	on	on	ADP
ejpam-4103	123	11	the	the	DET
ejpam-4103	123	12	structure	structure	NOUN
ejpam-4103	123	13	of	of	ADP
ejpam-4103	123	14	the	the	DET
ejpam-4103	123	15	coefficient	coefficient	NOUN
ejpam-4103	123	16	matrix	matrix	NOUN
ejpam-4103	123	17	of	of	ADP
ejpam-4103	123	18	the	the	DET
ejpam-4103	123	19	target	target	NOUN
ejpam-4103	123	20	system	system	NOUN
ejpam-4103	123	21	involves	involve	VERB
ejpam-4103	123	22	multiplying	multiply	VERB
ejpam-4103	123	23	this	this	DET
ejpam-4103	123	24	matrix	matrix	NOUN
ejpam-4103	123	25	ψ	ψ	NOUN
ejpam-4103	123	26	by	by	ADP
ejpam-4103	123	27	the	the	DET
ejpam-4103	123	28	original	original	ADJ
ejpam-4103	123	29	system	system	NOUN
ejpam-4103	123	30	of	of	ADP
ejpam-4103	123	31	the	the	DET
ejpam-4103	123	32	mentioned	mention	VERB
ejpam-4103	123	33	iterative	iterative	NOUN
ejpam-4103	123	34	methods	method	NOUN
ejpam-4103	123	35	to	to	PART
ejpam-4103	123	36	produce	produce	VERB
ejpam-4103	123	37	coefficients	coefficient	NOUN
ejpam-4103	123	38	matrix	matrix	NOUN
ejpam-4103	123	39	with	with	ADP
ejpam-4103	123	40	a	a	DET
ejpam-4103	123	41	spectral	spectral	ADJ
ejpam-4103	123	42	radius	radius	NOUN
ejpam-4103	123	43	less	less	ADJ
ejpam-4103	123	44	than	than	ADP
ejpam-4103	123	45	the	the	DET
ejpam-4103	123	46	spectral	spectral	ADJ
ejpam-4103	123	47	radius	radius	NOUN
ejpam-4103	123	48	of	of	ADP
ejpam-4103	123	49	the	the	DET
ejpam-4103	123	50	coefficients	coefficient	NOUN
ejpam-4103	123	51	matrix	matrix	NOUN
ejpam-4103	123	52	of	of	ADP
ejpam-4103	123	53	the	the	DET
ejpam-4103	123	54	original	original	ADJ
ejpam-4103	123	55	system	system	NOUN
ejpam-4103	123	56	.	.	PUNCT
ejpam-4103	124	1	by	by	ADP
ejpam-4103	124	2	applying	apply	VERB
ejpam-4103	124	3	preconditioner	preconditioner	NOUN
ejpam-4103	124	4	matrix	matrix	NOUN
ejpam-4103	124	5	to	to	ADP
ejpam-4103	124	6	any	any	DET
ejpam-4103	124	7	group	group	NOUN
ejpam-4103	124	8	of	of	ADP
ejpam-4103	124	9	four	four	NUM
ejpam-4103	124	10	points	point	NOUN
ejpam-4103	124	11	of	of	ADP
ejpam-4103	124	12	eg	eg	NOUN
ejpam-4103	124	13	scheme	scheme	NOUN
ejpam-4103	124	14	on	on	ADP
ejpam-4103	124	15	a	a	DET
ejpam-4103	124	16	discretised	discretise	VERB
ejpam-4103	124	17	solution	solution	NOUN
ejpam-4103	124	18	domain	domain	NOUN
ejpam-4103	124	19	will	will	AUX
ejpam-4103	124	20	result	result	VERB
ejpam-4103	124	21	in	in	ADP
ejpam-4103	124	22	a	a	DET
ejpam-4103	124	23	4×4	4×4	NUM
ejpam-4103	124	24	system	system	NOUN
ejpam-4103	124	25	of	of	ADP
ejpam-4103	124	26	equations	equation	NOUN
ejpam-4103	124	27	as	as	VERB
ejpam-4103	124	28	q1c1	q1c1	PROPN
ejpam-4103	124	29	q1c2	q1c2	PROPN
ejpam-4103	124	30	0	0	NUM
ejpam-4103	125	1	q1c2	q1c2	INTJ
ejpam-4103	125	2	q1c2	q1c2	INTJ
ejpam-4103	125	3	q1c1	q1c1	ADP
ejpam-4103	125	4	q1c2	q1c2	PROPN
ejpam-4103	125	5	0	0	NUM
ejpam-4103	125	6	c2	c2	PROPN
ejpam-4103	125	7	2	2	NUM
ejpam-4103	125	8	0	0	NUM
ejpam-4103	125	9	c2	c2	PROPN
ejpam-4103	125	10	2	2	NUM
ejpam-4103	126	1	c1c2	c1c2	SYM
ejpam-4103	126	2	0	0	NUM
ejpam-4103	126	3	c2	c2	PROPN
ejpam-4103	126	4	2	2	NUM
ejpam-4103	126	5	c1c2	c1c2	NOUN
ejpam-4103	126	6	c2	c2	PROPN
ejpam-4103	126	7	2	2	NUM
ejpam-4103	126	8			PROPN
ejpam-4103	126	9			PROPN
ejpam-4103	126	10	ui	ui	PROPN
ejpam-4103	126	11	,	,	PUNCT
ejpam-4103	126	12	j	j	PROPN
ejpam-4103	126	13	,	,	PUNCT
ejpam-4103	126	14	m+1	m+1	NUM
ejpam-4103	126	15	ui+1,j	ui+1,j	NOUN
ejpam-4103	126	16	,	,	PUNCT
ejpam-4103	126	17	m+1	m+1	PROPN
ejpam-4103	126	18	ui+1,j+1,m+1	ui+1,j+1,m+1	PROPN
ejpam-4103	126	19	ui	ui	PROPN
ejpam-4103	126	20	,	,	PUNCT
ejpam-4103	126	21	j+1,m+1	j+1,m+1	NOUN
ejpam-4103	126	22			NOUN
ejpam-4103	126	23	=	=	PUNCT
ejpam-4103	126	24			NOUN
ejpam-4103	126	25	rq1hsi	rq1hsi	NOUN
ejpam-4103	126	26	,	,	PUNCT
ejpam-4103	126	27	j	j	PROPN
ejpam-4103	126	28	rq1hsi+1,j	rq1hsi+1,j	NOUN
ejpam-4103	126	29	rhc2si	rhc2si	VERB
ejpam-4103	126	30	,	,	PUNCT
ejpam-4103	126	31	j+1	j+1	ADJ
ejpam-4103	126	32	rhc2si+1,j+1	rhc2si+1,j+1	PUNCT
ejpam-4103	126	33			CCONJ
ejpam-4103	126	34	(	(	PUNCT
ejpam-4103	126	35	11	11	NUM
ejpam-4103	126	36	)	)	PUNCT
ejpam-4103	126	37	the	the	DET
ejpam-4103	126	38	resulted	resulted	ADJ
ejpam-4103	126	39	system	system	NOUN
ejpam-4103	126	40	is	be	AUX
ejpam-4103	126	41	called	call	VERB
ejpam-4103	126	42	preconditioned	preconditioned	ADJ
ejpam-4103	126	43	eg	eg	NOUN
ejpam-4103	126	44	(	(	PUNCT
ejpam-4103	126	45	peg	peg	NOUN
ejpam-4103	126	46	)	)	PUNCT
ejpam-4103	126	47	.	.	PUNCT
ejpam-4103	127	1	by	by	ADP
ejpam-4103	127	2	using	use	VERB
ejpam-4103	127	3	the	the	DET
ejpam-4103	127	4	same	same	ADJ
ejpam-4103	127	5	preconditioner	preconditioner	NOUN
ejpam-4103	127	6	matrix	matrix	NOUN
ejpam-4103	127	7	and	and	CCONJ
ejpam-4103	127	8	preconditioning	precondition	VERB
ejpam-4103	127	9	process	process	NOUN
ejpam-4103	127	10	to	to	ADP
ejpam-4103	127	11	any	any	DET
ejpam-4103	127	12	group	group	NOUN
ejpam-4103	127	13	of	of	ADP
ejpam-4103	127	14	four	four	NUM
ejpam-4103	127	15	points	point	NOUN
ejpam-4103	127	16	of	of	ADP
ejpam-4103	127	17	edg	edg	PROPN
ejpam-4103	127	18	scheme	scheme	NOUN
ejpam-4103	127	19	on	on	ADP
ejpam-4103	127	20	a	a	DET
ejpam-4103	127	21	discretised	discretise	VERB
ejpam-4103	127	22	solution	solution	NOUN
ejpam-4103	127	23	domain	domain	NOUN
ejpam-4103	127	24	,	,	PUNCT
ejpam-4103	127	25	we	we	PRON
ejpam-4103	127	26	can	can	AUX
ejpam-4103	127	27	write	write	VERB
ejpam-4103	127	28	the	the	DET
ejpam-4103	127	29	4×4	4×4	NUM
ejpam-4103	127	30	preconditioned	preconditioned	ADJ
ejpam-4103	127	31	edg	edg	NOUN
ejpam-4103	127	32	(	(	PUNCT
ejpam-4103	127	33	pedg	pedg	NOUN
ejpam-4103	127	34	)	)	PUNCT
ejpam-4103	127	35	system	system	NOUN
ejpam-4103	127	36	as	as	ADP
ejpam-4103	127	37	follows	follows	PROPN
ejpam-4103	127	38	q2	q2	NOUN
ejpam-4103	127	39	1	1	NUM
ejpam-4103	128	1	q1q2	q1q2	ADJ
ejpam-4103	128	2	0	0	NUM
ejpam-4103	128	3	0	0	X
ejpam-4103	129	1	q1q2	q1q2	DET
ejpam-4103	129	2	q2	q2	NOUN
ejpam-4103	129	3	1	1	NUM
ejpam-4103	129	4	0	0	NUM
ejpam-4103	129	5	0	0	NUM
ejpam-4103	129	6	0	0	NUM
ejpam-4103	129	7	0	0	NUM
ejpam-4103	129	8	c2q2	c2q2	NOUN
ejpam-4103	129	9	c2q1	c2q1	NOUN
ejpam-4103	129	10	0	0	NUM
ejpam-4103	129	11	0	0	NUM
ejpam-4103	129	12	c2q1	c2q1	NOUN
ejpam-4103	129	13	c2q2	c2q2	NOUN
ejpam-4103	129	14			ADV
ejpam-4103	129	15			PROPN
ejpam-4103	129	16	ui	ui	PROPN
ejpam-4103	129	17	,	,	PUNCT
ejpam-4103	129	18	j	j	PROPN
ejpam-4103	129	19	,	,	PUNCT
ejpam-4103	129	20	m+1	m+1	NUM
ejpam-4103	129	21	ui+1,j+1,m+1	ui+1,j+1,m+1	ADJ
ejpam-4103	129	22	ui+1,j	ui+1,j	NOUN
ejpam-4103	129	23	,	,	PUNCT
ejpam-4103	129	24	m+1	m+1	PROPN
ejpam-4103	129	25	ui	ui	NOUN
ejpam-4103	129	26	,	,	PUNCT
ejpam-4103	129	27	j+1,m+1	j+1,m+1	NOUN
ejpam-4103	129	28			NOUN
ejpam-4103	129	29	=	=	PUNCT
ejpam-4103	129	30			PROPN
ejpam-4103	129	31	rhsi	rhsi	NOUN
ejpam-4103	129	32	,	,	PUNCT
ejpam-4103	129	33	j	j	PROPN
ejpam-4103	129	34	rhsi+1,j+1	rhsi+1,j+1	PROPN
ejpam-4103	129	35	rhsi+1,j	rhsi+1,j	ADJ
ejpam-4103	129	36	rhsi	rhsi	NOUN
ejpam-4103	129	37	,	,	PUNCT
ejpam-4103	129	38	j+1	j+1	PROPN
ejpam-4103	129	39			PROPN
ejpam-4103	129	40	(	(	PUNCT
ejpam-4103	129	41	12	12	NUM
ejpam-4103	129	42	)	)	PUNCT
ejpam-4103	129	43	in	in	ADP
ejpam-4103	129	44	the	the	DET
ejpam-4103	129	45	following	following	ADJ
ejpam-4103	129	46	section	section	NOUN
ejpam-4103	129	47	,	,	PUNCT
ejpam-4103	129	48	we	we	PRON
ejpam-4103	129	49	will	will	AUX
ejpam-4103	129	50	discuss	discuss	VERB
ejpam-4103	129	51	the	the	DET
ejpam-4103	129	52	efficiency	efficiency	NOUN
ejpam-4103	129	53	of	of	ADP
ejpam-4103	129	54	the	the	DET
ejpam-4103	129	55	above	above	ADJ
ejpam-4103	129	56	proposed	propose	VERB
ejpam-4103	129	57	preconditioned	preconditioned	ADJ
ejpam-4103	129	58	system	system	NOUN
ejpam-4103	129	59	for	for	ADP
ejpam-4103	129	60	solving	solve	VERB
ejpam-4103	129	61	the	the	DET
ejpam-4103	129	62	telegraph	telegraph	NOUN
ejpam-4103	129	63	equations	equation	NOUN
ejpam-4103	129	64	.	.	PUNCT
ejpam-4103	130	1	a.	a.	PROPN
ejpam-4103	130	2	m.	m.	PROPN
ejpam-4103	130	3	saeed	saeed	PROPN
ejpam-4103	130	4	/	/	SYM
ejpam-4103	130	5	eur	eur	PROPN
ejpam-4103	130	6	.	.	PUNCT
ejpam-4103	131	1	j.	j.	PROPN
ejpam-4103	131	2	pure	pure	PROPN
ejpam-4103	131	3	appl	appl	PROPN
ejpam-4103	131	4	.	.	PROPN
ejpam-4103	131	5	math	math	PROPN
ejpam-4103	131	6	,	,	PUNCT
ejpam-4103	131	7	14	14	NUM
ejpam-4103	131	8	(	(	PUNCT
ejpam-4103	131	9	4	4	NUM
ejpam-4103	131	10	)	)	PUNCT
ejpam-4103	131	11	(	(	PUNCT
ejpam-4103	131	12	2021	2021	NUM
ejpam-4103	131	13	)	)	PUNCT
ejpam-4103	131	14	,	,	PUNCT
ejpam-4103	131	15	1266	1266	NUM
ejpam-4103	131	16	-	-	SYM
ejpam-4103	131	17	1274	1274	NUM
ejpam-4103	131	18	1271	1271	NUM
ejpam-4103	131	19	4	4	NUM
ejpam-4103	131	20	.	.	PUNCT
ejpam-4103	131	21	numerical	numerical	ADJ
ejpam-4103	131	22	results	result	NOUN
ejpam-4103	131	23	in	in	ADP
ejpam-4103	131	24	this	this	DET
ejpam-4103	131	25	section	section	NOUN
ejpam-4103	132	1	,	,	PUNCT
ejpam-4103	132	2	we	we	PRON
ejpam-4103	132	3	check	check	VERB
ejpam-4103	132	4	the	the	DET
ejpam-4103	132	5	applicability	applicability	NOUN
ejpam-4103	132	6	and	and	CCONJ
ejpam-4103	132	7	effectiveness	effectiveness	NOUN
ejpam-4103	132	8	of	of	ADP
ejpam-4103	132	9	the	the	DET
ejpam-4103	132	10	proposed	propose	VERB
ejpam-4103	132	11	preconditioned	preconditioned	ADJ
ejpam-4103	132	12	group	group	NOUN
ejpam-4103	132	13	iterative	iterative	NOUN
ejpam-4103	132	14	methods	method	NOUN
ejpam-4103	132	15	in	in	ADP
ejpam-4103	132	16	solving	solve	VERB
ejpam-4103	132	17	problems	problem	NOUN
ejpam-4103	132	18	of	of	ADP
ejpam-4103	132	19	telegraph	telegraph	NOUN
ejpam-4103	132	20	equations	equation	NOUN
ejpam-4103	132	21	.	.	PUNCT
ejpam-4103	133	1	for	for	ADP
ejpam-4103	133	2	the	the	DET
ejpam-4103	133	3	purpose	purpose	NOUN
ejpam-4103	133	4	of	of	ADP
ejpam-4103	133	5	comparison	comparison	NOUN
ejpam-4103	133	6	,	,	PUNCT
ejpam-4103	133	7	we	we	PRON
ejpam-4103	133	8	use	use	VERB
ejpam-4103	133	9	a	a	DET
ejpam-4103	133	10	tolerance	tolerance	NOUN
ejpam-4103	133	11	of	of	ADP
ejpam-4103	133	12	as	as	ADP
ejpam-4103	133	13	the	the	DET
ejpam-4103	133	14	termination	termination	NOUN
ejpam-4103	133	15	criteria	criterion	NOUN
ejpam-4103	133	16	with	with	ADP
ejpam-4103	133	17	the	the	DET
ejpam-4103	133	18	convergence	convergence	NOUN
ejpam-4103	133	19	criteria	criterion	NOUN
ejpam-4103	133	20	norm	norm	NOUN
ejpam-4103	133	21	.	.	PUNCT
ejpam-4103	134	1	the	the	DET
ejpam-4103	134	2	computer	computer	NOUN
ejpam-4103	134	3	processing	processing	NOUN
ejpam-4103	134	4	unit	unit	NOUN
ejpam-4103	134	5	is	be	AUX
ejpam-4103	134	6	intel(r	intel(r	NOUN
ejpam-4103	134	7	)	)	PUNCT
ejpam-4103	134	8	core(tm	core(tm	NOUN
ejpam-4103	134	9	)	)	PUNCT
ejpam-4103	134	10	i7	i7	NOUN
ejpam-4103	134	11	-	-	PUNCT
ejpam-4103	134	12	7500u	7500u	NUM
ejpam-4103	134	13	with	with	ADP
ejpam-4103	134	14	memory	memory	NOUN
ejpam-4103	134	15	of	of	ADP
ejpam-4103	134	16	8	8	NUM
ejpam-4103	134	17	gb	gb	NOUN
ejpam-4103	134	18	and	and	CCONJ
ejpam-4103	134	19	the	the	DET
ejpam-4103	134	20	software	software	NOUN
ejpam-4103	134	21	used	use	VERB
ejpam-4103	134	22	to	to	PART
ejpam-4103	134	23	implement	implement	VERB
ejpam-4103	134	24	and	and	CCONJ
ejpam-4103	134	25	generate	generate	VERB
ejpam-4103	134	26	the	the	DET
ejpam-4103	134	27	results	result	NOUN
ejpam-4103	134	28	was	be	AUX
ejpam-4103	134	29	developer	developer	NOUN
ejpam-4103	134	30	c++	c++	NOUN
ejpam-4103	134	31	version	version	NOUN
ejpam-4103	134	32	4.9.9.2	4.9.9.2	PROPN
ejpam-4103	134	33	.	.	PUNCT
ejpam-4103	135	1	all	all	DET
ejpam-4103	135	2	the	the	DET
ejpam-4103	135	3	four	four	NUM
ejpam-4103	135	4	methods	method	NOUN
ejpam-4103	135	5	(	(	PUNCT
ejpam-4103	135	6	eg	eg	NOUN
ejpam-4103	135	7	,	,	PUNCT
ejpam-4103	135	8	edg	edg	NOUN
ejpam-4103	135	9	,	,	PUNCT
ejpam-4103	135	10	peg	peg	NOUN
ejpam-4103	135	11	and	and	CCONJ
ejpam-4103	135	12	pedg	pedg	NOUN
ejpam-4103	135	13	)	)	PUNCT
ejpam-4103	135	14	described	describe	VERB
ejpam-4103	135	15	in	in	ADP
ejpam-4103	135	16	sections	section	NOUN
ejpam-4103	135	17	2	2	NUM
ejpam-4103	135	18	and	and	CCONJ
ejpam-4103	135	19	3	3	NUM
ejpam-4103	135	20	were	be	AUX
ejpam-4103	135	21	applied	apply	VERB
ejpam-4103	135	22	to	to	ADP
ejpam-4103	135	23	the	the	DET
ejpam-4103	135	24	model	model	NOUN
ejpam-4103	135	25	problem	problem	NOUN
ejpam-4103	135	26	(	(	PUNCT
ejpam-4103	135	27	1	1	NUM
ejpam-4103	135	28	)	)	PUNCT
ejpam-4103	135	29	with	with	ADP
ejpam-4103	135	30	α	α	NOUN
ejpam-4103	135	31	=	=	SYM
ejpam-4103	135	32	β	β	X
ejpam-4103	135	33	=	=	SYM
ejpam-4103	135	34	1	1	NUM
ejpam-4103	135	35	and	and	CCONJ
ejpam-4103	135	36	l	l	NOUN
ejpam-4103	135	37	=	=	PUNCT
ejpam-4103	135	38	m	m	PUNCT
ejpam-4103	135	39	=	=	SYM
ejpam-4103	135	40	1	1	NUM
ejpam-4103	135	41	and	and	CCONJ
ejpam-4103	135	42	the	the	DET
ejpam-4103	135	43	initial	initial	ADJ
ejpam-4103	135	44	and	and	CCONJ
ejpam-4103	135	45	boundary	boundary	ADJ
ejpam-4103	135	46	conditions	condition	NOUN
ejpam-4103	135	47	are	be	AUX
ejpam-4103	135	48	given	give	VERB
ejpam-4103	135	49	by	by	ADP
ejpam-4103	135	50	u(x	u(x	NOUN
ejpam-4103	135	51	,	,	PUNCT
ejpam-4103	135	52	y	y	PROPN
ejpam-4103	135	53	,	,	PUNCT
ejpam-4103	135	54	0	0	NUM
ejpam-4103	135	55	)	)	PUNCT
ejpam-4103	135	56	=	=	SYM
ejpam-4103	135	57	sin(x	sin(x	PROPN
ejpam-4103	135	58	)	)	PUNCT
ejpam-4103	135	59	sin(y	sin(y	PROPN
ejpam-4103	135	60	)	)	PUNCT
ejpam-4103	135	61	,	,	PUNCT
ejpam-4103	135	62	ut(x	ut(x	NOUN
ejpam-4103	135	63	,	,	PUNCT
ejpam-4103	135	64	y	y	NOUN
ejpam-4103	135	65	,	,	PUNCT
ejpam-4103	135	66	0	0	NUM
ejpam-4103	135	67	)	)	PUNCT
ejpam-4103	135	68	=	=	NOUN
ejpam-4103	135	69	−	−	PROPN
ejpam-4103	135	70	sin(x	sin(x	PROPN
ejpam-4103	135	71	)	)	PUNCT
ejpam-4103	135	72	sin(y	sin(y	PROPN
ejpam-4103	135	73	)	)	PUNCT
ejpam-4103	135	74	,	,	PUNCT
ejpam-4103	135	75	u(0	u(0	PROPN
ejpam-4103	135	76	,	,	PUNCT
ejpam-4103	135	77	y	y	PROPN
ejpam-4103	135	78	,	,	PUNCT
ejpam-4103	135	79	t	t	PROPN
ejpam-4103	135	80	)	)	PUNCT
ejpam-4103	135	81	=	=	SYM
ejpam-4103	135	82	u(x	u(x	NOUN
ejpam-4103	135	83	,	,	PUNCT
ejpam-4103	135	84	0	0	NUM
ejpam-4103	135	85	,	,	PUNCT
ejpam-4103	135	86	t	t	PROPN
ejpam-4103	135	87	)	)	PUNCT
ejpam-4103	135	88	=	=	SYM
ejpam-4103	135	89	0	0	NUM
ejpam-4103	135	90	,	,	PUNCT
ejpam-4103	135	91	u(1	u(1	PROPN
ejpam-4103	135	92	,	,	PUNCT
ejpam-4103	135	93	y	y	PROPN
ejpam-4103	135	94	,	,	PUNCT
ejpam-4103	135	95	t	t	PROPN
ejpam-4103	135	96	)	)	PUNCT
ejpam-4103	135	97	=	=	SYM
ejpam-4103	135	98	e−t	e−t	NOUN
ejpam-4103	135	99	sin(1	sin(1	NOUN
ejpam-4103	135	100	)	)	PUNCT
ejpam-4103	136	1	sin(y	sin(y	PROPN
ejpam-4103	136	2	)	)	PUNCT
ejpam-4103	136	3	,	,	PUNCT
ejpam-4103	136	4	u(x	u(x	PROPN
ejpam-4103	136	5	,	,	PUNCT
ejpam-4103	136	6	1	1	NUM
ejpam-4103	136	7	,	,	PUNCT
ejpam-4103	136	8	t	t	PROPN
ejpam-4103	136	9	)	)	PUNCT
ejpam-4103	136	10	=	=	PUNCT
ejpam-4103	136	11	e−t	e−t	NOUN
ejpam-4103	136	12	sin(x	sin(x	PROPN
ejpam-4103	136	13	)	)	PUNCT
ejpam-4103	136	14	sin(1	sin(1	NOUN
ejpam-4103	136	15	)	)	PUNCT
ejpam-4103	136	16	,	,	PUNCT
ejpam-4103	136	17	with	with	ADP
ejpam-4103	136	18	f	f	PROPN
ejpam-4103	136	19	(	(	PUNCT
ejpam-4103	136	20	x	x	PROPN
ejpam-4103	136	21	,	,	PUNCT
ejpam-4103	136	22	y	y	PROPN
ejpam-4103	136	23	,	,	PUNCT
ejpam-4103	136	24	t	t	PROPN
ejpam-4103	136	25	)	)	PUNCT
ejpam-4103	136	26	=	=	SYM
ejpam-4103	136	27	2e−t	2e−t	NUM
ejpam-4103	136	28	sin(x	sin(x	PROPN
ejpam-4103	136	29	)	)	PUNCT
ejpam-4103	136	30	sin(y	sin(y	PROPN
ejpam-4103	136	31	)	)	PUNCT
ejpam-4103	136	32	.	.	PUNCT
ejpam-4103	137	1	the	the	DET
ejpam-4103	137	2	exact	exact	ADJ
ejpam-4103	137	3	solution	solution	NOUN
ejpam-4103	137	4	of	of	ADP
ejpam-4103	137	5	this	this	DET
ejpam-4103	137	6	model	model	NOUN
ejpam-4103	137	7	problem	problem	NOUN
ejpam-4103	137	8	is	be	AUX
ejpam-4103	137	9	u(x	u(x	NOUN
ejpam-4103	137	10	,	,	PUNCT
ejpam-4103	137	11	y	y	PROPN
ejpam-4103	137	12	,	,	PUNCT
ejpam-4103	137	13	t	t	PROPN
ejpam-4103	137	14	)	)	PUNCT
ejpam-4103	137	15	=	=	VERB
ejpam-4103	137	16	e−t	e−t	NOUN
ejpam-4103	137	17	sin(x	sin(x	PROPN
ejpam-4103	137	18	)	)	PUNCT
ejpam-4103	137	19	sin(y	sin(y	PROPN
ejpam-4103	137	20	)	)	PUNCT
ejpam-4103	137	21	.	.	PUNCT
ejpam-4103	138	1	in	in	ADP
ejpam-4103	138	2	addition	addition	NOUN
ejpam-4103	138	3	,	,	PUNCT
ejpam-4103	138	4	all	all	DET
ejpam-4103	138	5	the	the	DET
ejpam-4103	138	6	mentioned	mention	VERB
ejpam-4103	138	7	four	four	NUM
ejpam-4103	138	8	methods	method	NOUN
ejpam-4103	138	9	were	be	AUX
ejpam-4103	138	10	run	run	VERB
ejpam-4103	138	11	using	use	VERB
ejpam-4103	138	12	several	several	ADJ
ejpam-4103	138	13	mesh	mesh	NOUN
ejpam-4103	138	14	sizes	size	NOUN
ejpam-4103	138	15	of	of	ADP
ejpam-4103	138	16	20,50	20,50	NUM
ejpam-4103	138	17	,	,	PUNCT
ejpam-4103	138	18	80	80	NUM
ejpam-4103	138	19	,	,	PUNCT
ejpam-4103	138	20	98	98	NUM
ejpam-4103	138	21	and	and	CCONJ
ejpam-4103	138	22	118	118	NUM
ejpam-4103	138	23	.	.	PUNCT
ejpam-4103	139	1	the	the	DET
ejpam-4103	139	2	results	result	NOUN
ejpam-4103	139	3	are	be	AUX
ejpam-4103	139	4	summarized	summarize	VERB
ejpam-4103	139	5	in	in	ADP
ejpam-4103	139	6	tables	table	NOUN
ejpam-4103	139	7	1	1	NUM
ejpam-4103	139	8	and	and	CCONJ
ejpam-4103	139	9	2	2	NUM
ejpam-4103	139	10	which	which	PRON
ejpam-4103	139	11	showed	show	VERB
ejpam-4103	139	12	the	the	DET
ejpam-4103	139	13	comparison	comparison	NOUN
ejpam-4103	139	14	among	among	ADP
ejpam-4103	139	15	the	the	DET
ejpam-4103	139	16	unpreconditioned	unpreconditione	VERB
ejpam-4103	139	17	eg	eg	NOUN
ejpam-4103	139	18	and	and	CCONJ
ejpam-4103	139	19	edg	edg	PROPN
ejpam-4103	139	20	methods	method	NOUN
ejpam-4103	139	21	(	(	PUNCT
ejpam-4103	139	22	original	original	ADJ
ejpam-4103	139	23	systems	system	NOUN
ejpam-4103	139	24	)	)	PUNCT
ejpam-4103	139	25	and	and	CCONJ
ejpam-4103	139	26	the	the	DET
ejpam-4103	139	27	preconditioned	preconditioned	ADJ
ejpam-4103	139	28	eg	eg	NOUN
ejpam-4103	139	29	and	and	CCONJ
ejpam-4103	139	30	edg	edg	PROPN
ejpam-4103	139	31	.	.	PROPN
ejpam-4103	139	32	table	table	PROPN
ejpam-4103	139	33	1	1	NUM
ejpam-4103	139	34	:	:	PUNCT
ejpam-4103	139	35	comparison	comparison	NOUN
ejpam-4103	139	36	of	of	ADP
ejpam-4103	139	37	iterations(k)and	iterations(k)and	PROPN
ejpam-4103	139	38	elapsed	elapse	VERB
ejpam-4103	139	39	time	time	NOUN
ejpam-4103	139	40	between	between	ADP
ejpam-4103	139	41	eg	eg	NOUN
ejpam-4103	139	42	and	and	CCONJ
ejpam-4103	139	43	edg	edg	PROPN
ejpam-4103	139	44	methods	method	NOUN
ejpam-4103	139	45	unpreconditioned	unpreconditione	VERB
ejpam-4103	139	46	eg	eg	NOUN
ejpam-4103	139	47	unpreconditioned	unpreconditione	VERB
ejpam-4103	139	48	edg	edg	NOUN
ejpam-4103	139	49	h−1	h−1	PROPN
ejpam-4103	139	50	k	k	PROPN
ejpam-4103	139	51	max	max	PROPN
ejpam-4103	139	52	error	error	NOUN
ejpam-4103	139	53	ave	ave	NOUN
ejpam-4103	139	54	error	error	NOUN
ejpam-4103	139	55	time	time	NOUN
ejpam-4103	139	56	k	k	PROPN
ejpam-4103	139	57	max	max	PROPN
ejpam-4103	139	58	error	error	NOUN
ejpam-4103	139	59	ave	ave	NOUN
ejpam-4103	139	60	error	error	NOUN
ejpam-4103	139	61	time	time	NOUN
ejpam-4103	139	62	20	20	NUM
ejpam-4103	139	63	3	3	NUM
ejpam-4103	139	64	7.1e	7.1e	NUM
ejpam-4103	139	65	−	−	NUM
ejpam-4103	139	66	06	06	NUM
ejpam-4103	140	1	7.3e	7.3e	NOUN
ejpam-4103	140	2	−	−	PROPN
ejpam-4103	140	3	07	07	NUM
ejpam-4103	140	4	0.863	0.863	NUM
ejpam-4103	140	5	3	3	NUM
ejpam-4103	140	6	6.9e	6.9e	NOUN
ejpam-4103	140	7	−	−	NUM
ejpam-4103	140	8	06	06	NUM
ejpam-4103	141	1	8.6e	8.6e	NUM
ejpam-4103	141	2	−	−	NOUN
ejpam-4103	141	3	07	07	NUM
ejpam-4103	141	4	0.721	0.721	NUM
ejpam-4103	141	5	50	50	NUM
ejpam-4103	141	6	4	4	NUM
ejpam-4103	141	7	7.7e	7.7e	NOUN
ejpam-4103	141	8	−	−	PROPN
ejpam-4103	141	9	06	06	NUM
ejpam-4103	142	1	8.5e	8.5e	NOUN
ejpam-4103	142	2	−	−	PROPN
ejpam-4103	142	3	07	07	NUM
ejpam-4103	142	4	4.001	4.001	NUM
ejpam-4103	142	5	3	3	NUM
ejpam-4103	142	6	7.4e	7.4e	NUM
ejpam-4103	142	7	−	−	NUM
ejpam-4103	142	8	06	06	NUM
ejpam-4103	142	9	8.3e	8.3e	NUM
ejpam-4103	142	10	−	−	NOUN
ejpam-4103	142	11	07	07	NUM
ejpam-4103	142	12	2.533	2.533	NUM
ejpam-4103	142	13	80	80	NUM
ejpam-4103	142	14	4	4	NUM
ejpam-4103	142	15	7.6e	7.6e	NUM
ejpam-4103	142	16	−	−	PROPN
ejpam-4103	142	17	06	06	NUM
ejpam-4103	142	18	8.4e	8.4e	NUM
ejpam-4103	142	19	−	−	PROPN
ejpam-4103	142	20	07	07	NUM
ejpam-4103	142	21	13.216	13.216	NUM
ejpam-4103	142	22	3	3	NUM
ejpam-4103	142	23	7.3e	7.3e	NUM
ejpam-4103	142	24	−	−	PROPN
ejpam-4103	142	25	06	06	NUM
ejpam-4103	142	26	8.2e	8.2e	NUM
ejpam-4103	142	27	−	−	NOUN
ejpam-4103	142	28	07	07	NUM
ejpam-4103	143	1	11.415	11.415	NUM
ejpam-4103	143	2	98	98	NUM
ejpam-4103	143	3	4	4	NUM
ejpam-4103	143	4	7.6e	7.6e	NUM
ejpam-4103	143	5	−	−	NUM
ejpam-4103	143	6	06	06	NUM
ejpam-4103	143	7	8.3e	8.3e	NUM
ejpam-4103	143	8	−	−	PROPN
ejpam-4103	143	9	07	07	NUM
ejpam-4103	143	10	12.904	12.904	NUM
ejpam-4103	143	11	3	3	NUM
ejpam-4103	143	12	7.3e	7.3e	NUM
ejpam-4103	143	13	−	−	PROPN
ejpam-4103	143	14	06	06	NUM
ejpam-4103	144	1	8.1e	8.1e	NUM
ejpam-4103	144	2	−	−	PROPN
ejpam-4103	144	3	07	07	NUM
ejpam-4103	144	4	8.654	8.654	NUM
ejpam-4103	144	5	118	118	NUM
ejpam-4103	144	6	5	5	NUM
ejpam-4103	144	7	7.7e	7.7e	NOUN
ejpam-4103	144	8	−	−	PROPN
ejpam-4103	144	9	06	06	NUM
ejpam-4103	145	1	7.5e	7.5e	NUM
ejpam-4103	145	2	−	−	PROPN
ejpam-4103	145	3	07	07	NUM
ejpam-4103	145	4	14.863	14.863	NUM
ejpam-4103	145	5	4	4	NUM
ejpam-4103	145	6	7.6e	7.6e	NUM
ejpam-4103	145	7	−	−	NUM
ejpam-4103	145	8	06	06	NUM
ejpam-4103	145	9	7.2e	7.2e	NOUN
ejpam-4103	145	10	−	−	PROPN
ejpam-4103	145	11	07	07	NUM
ejpam-4103	145	12	10.481	10.481	NUM
ejpam-4103	145	13	table	table	NOUN
ejpam-4103	145	14	2	2	NUM
ejpam-4103	145	15	:	:	PUNCT
ejpam-4103	145	16	comparison	comparison	NOUN
ejpam-4103	145	17	of	of	ADP
ejpam-4103	145	18	iterations(k)and	iterations(k)and	PROPN
ejpam-4103	145	19	elapsed	elapse	VERB
ejpam-4103	145	20	time	time	NOUN
ejpam-4103	145	21	between	between	ADP
ejpam-4103	145	22	peg	peg	NOUN
ejpam-4103	145	23	and	and	CCONJ
ejpam-4103	145	24	pedg	pedg	NOUN
ejpam-4103	145	25	methods	method	NOUN
ejpam-4103	145	26	preconditioned	precondition	VERB
ejpam-4103	145	27	eg	eg	NOUN
ejpam-4103	146	1	preconditioned	precondition	VERB
ejpam-4103	146	2	edg	edg	NOUN
ejpam-4103	146	3	h−1	h−1	PROPN
ejpam-4103	146	4	k	k	PROPN
ejpam-4103	146	5	max	max	PROPN
ejpam-4103	146	6	error	error	NOUN
ejpam-4103	146	7	ave	ave	NOUN
ejpam-4103	146	8	error	error	NOUN
ejpam-4103	146	9	time	time	NOUN
ejpam-4103	146	10	k	k	PROPN
ejpam-4103	146	11	max	max	PROPN
ejpam-4103	146	12	error	error	NOUN
ejpam-4103	146	13	ave	ave	NOUN
ejpam-4103	146	14	error	error	NOUN
ejpam-4103	146	15	time	time	NOUN
ejpam-4103	146	16	20	20	NUM
ejpam-4103	146	17	2	2	NUM
ejpam-4103	146	18	6.5e	6.5e	NUM
ejpam-4103	146	19	−	−	NUM
ejpam-4103	146	20	06	06	NUM
ejpam-4103	146	21	6.2e	6.2e	NOUN
ejpam-4103	147	1	−	−	NOUN
ejpam-4103	147	2	07	07	NUM
ejpam-4103	147	3	0.634	0.634	NUM
ejpam-4103	147	4	1	1	NUM
ejpam-4103	147	5	6.5e	6.5e	NUM
ejpam-4103	147	6	−	−	NUM
ejpam-4103	147	7	06	06	NUM
ejpam-4103	147	8	5.9e	5.9e	NUM
ejpam-4103	147	9	−	−	PROPN
ejpam-4103	147	10	07	07	NUM
ejpam-4103	147	11	0.501	0.501	NUM
ejpam-4103	147	12	50	50	NUM
ejpam-4103	147	13	2	2	NUM
ejpam-4103	147	14	6.8e	6.8e	NUM
ejpam-4103	147	15	−	−	NUM
ejpam-4103	147	16	06	06	NUM
ejpam-4103	148	1	7.7e	7.7e	NOUN
ejpam-4103	148	2	−	−	NOUN
ejpam-4103	148	3	07	07	NUM
ejpam-4103	148	4	1.724	1.724	NUM
ejpam-4103	148	5	1	1	NUM
ejpam-4103	148	6	6.6e	6.6e	NUM
ejpam-4103	148	7	−	−	NUM
ejpam-4103	148	8	06	06	NUM
ejpam-4103	149	1	7.5e	7.5e	NUM
ejpam-4103	149	2	−	−	PROPN
ejpam-4103	149	3	07	07	NUM
ejpam-4103	149	4	0.875	0.875	NUM
ejpam-4103	149	5	80	80	NUM
ejpam-4103	149	6	3	3	NUM
ejpam-4103	149	7	6.4e	6.4e	NUM
ejpam-4103	149	8	−	−	PROPN
ejpam-4103	149	9	06	06	NUM
ejpam-4103	150	1	7.5e	7.5e	NUM
ejpam-4103	150	2	−	−	PROPN
ejpam-4103	150	3	07	07	NUM
ejpam-4103	150	4	10.521	10.521	NUM
ejpam-4103	150	5	2	2	NUM
ejpam-4103	150	6	6.1e	6.1e	NUM
ejpam-4103	150	7	−	−	NUM
ejpam-4103	150	8	06	06	NUM
ejpam-4103	151	1	7.3e	7.3e	NOUN
ejpam-4103	151	2	−	−	PROPN
ejpam-4103	151	3	07	07	NUM
ejpam-4103	151	4	8.011	8.011	NUM
ejpam-4103	151	5	98	98	NUM
ejpam-4103	151	6	3	3	NUM
ejpam-4103	151	7	6.6e	6.6e	NUM
ejpam-4103	151	8	−	−	NUM
ejpam-4103	151	9	06	06	NUM
ejpam-4103	151	10	7.2e	7.2e	NOUN
ejpam-4103	151	11	−	−	NOUN
ejpam-4103	151	12	07	07	NUM
ejpam-4103	151	13	7.451	7.451	NUM
ejpam-4103	151	14	2	2	NUM
ejpam-4103	151	15	6.1e	6.1e	NUM
ejpam-4103	151	16	−	−	PROPN
ejpam-4103	151	17	06	06	NUM
ejpam-4103	152	1	7.2e	7.2e	NOUN
ejpam-4103	152	2	−	−	NOUN
ejpam-4103	152	3	07	07	NUM
ejpam-4103	152	4	4.661	4.661	NUM
ejpam-4103	152	5	118	118	NUM
ejpam-4103	152	6	4	4	NUM
ejpam-4103	152	7	6.7e	6.7e	NOUN
ejpam-4103	152	8	−	−	PROPN
ejpam-4103	152	9	06	06	NUM
ejpam-4103	153	1	6.4e	6.4e	NUM
ejpam-4103	153	2	−	−	NOUN
ejpam-4103	153	3	07	07	NUM
ejpam-4103	153	4	8.623	8.623	NUM
ejpam-4103	153	5	3	3	NUM
ejpam-4103	153	6	6.6e	6.6e	NUM
ejpam-4103	153	7	−	−	NUM
ejpam-4103	153	8	06	06	NUM
ejpam-4103	154	1	6.5e	6.5e	NUM
ejpam-4103	154	2	−	−	PROPN
ejpam-4103	154	3	07	07	NUM
ejpam-4103	154	4	6.032	6.032	NUM
ejpam-4103	154	5	we	we	PRON
ejpam-4103	154	6	can	can	AUX
ejpam-4103	154	7	easily	easily	ADV
ejpam-4103	154	8	observe	observe	VERB
ejpam-4103	154	9	that	that	SCONJ
ejpam-4103	154	10	the	the	DET
ejpam-4103	154	11	number	number	NOUN
ejpam-4103	154	12	of	of	ADP
ejpam-4103	154	13	iterations	iteration	NOUN
ejpam-4103	154	14	and	and	CCONJ
ejpam-4103	154	15	elapsed	elapse	VERB
ejpam-4103	154	16	time	time	NOUN
ejpam-4103	154	17	significantly	significantly	ADV
ejpam-4103	154	18	a.	a.	NOUN
ejpam-4103	154	19	m.	m.	PROPN
ejpam-4103	154	20	saeed	saeed	PROPN
ejpam-4103	154	21	/	/	SYM
ejpam-4103	154	22	eur	eur	PROPN
ejpam-4103	154	23	.	.	PUNCT
ejpam-4103	155	1	j.	j.	PROPN
ejpam-4103	155	2	pure	pure	PROPN
ejpam-4103	155	3	appl	appl	PROPN
ejpam-4103	155	4	.	.	PROPN
ejpam-4103	155	5	math	math	PROPN
ejpam-4103	155	6	,	,	PUNCT
ejpam-4103	155	7	14	14	NUM
ejpam-4103	155	8	(	(	PUNCT
ejpam-4103	155	9	4	4	NUM
ejpam-4103	155	10	)	)	PUNCT
ejpam-4103	155	11	(	(	PUNCT
ejpam-4103	155	12	2021	2021	NUM
ejpam-4103	155	13	)	)	PUNCT
ejpam-4103	155	14	,	,	PUNCT
ejpam-4103	155	15	1266	1266	NUM
ejpam-4103	155	16	-	-	SYM
ejpam-4103	155	17	1274	1274	NUM
ejpam-4103	155	18	1272	1272	NUM
ejpam-4103	155	19	reduced	reduce	VERB
ejpam-4103	155	20	when	when	SCONJ
ejpam-4103	155	21	using	use	VERB
ejpam-4103	155	22	the	the	DET
ejpam-4103	155	23	new	new	ADJ
ejpam-4103	155	24	preconditioned	preconditioned	ADJ
ejpam-4103	155	25	methods	method	NOUN
ejpam-4103	155	26	for	for	ADP
ejpam-4103	155	27	solving	solve	VERB
ejpam-4103	155	28	such	such	ADJ
ejpam-4103	155	29	problem	problem	NOUN
ejpam-4103	155	30	.	.	PUNCT
ejpam-4103	156	1	in	in	ADP
ejpam-4103	156	2	addition	addition	NOUN
ejpam-4103	156	3	,	,	PUNCT
ejpam-4103	156	4	it	it	PRON
ejpam-4103	156	5	becomes	become	VERB
ejpam-4103	156	6	clear	clear	ADJ
ejpam-4103	156	7	that	that	SCONJ
ejpam-4103	156	8	the	the	DET
ejpam-4103	156	9	most	most	ADV
ejpam-4103	156	10	advanced	advanced	ADJ
ejpam-4103	156	11	method	method	NOUN
ejpam-4103	156	12	with	with	ADP
ejpam-4103	156	13	regard	regard	NOUN
ejpam-4103	156	14	to	to	ADP
ejpam-4103	156	15	the	the	DET
ejpam-4103	156	16	number	number	NOUN
ejpam-4103	156	17	of	of	ADP
ejpam-4103	156	18	iterations	iteration	NOUN
ejpam-4103	156	19	and	and	CCONJ
ejpam-4103	156	20	the	the	DET
ejpam-4103	156	21	elapsed	elapse	VERB
ejpam-4103	156	22	time	time	NOUN
ejpam-4103	156	23	among	among	ADP
ejpam-4103	156	24	all	all	DET
ejpam-4103	156	25	the	the	DET
ejpam-4103	156	26	methods	method	NOUN
ejpam-4103	156	27	mentioned	mention	VERB
ejpam-4103	156	28	is	be	AUX
ejpam-4103	156	29	the	the	DET
ejpam-4103	156	30	pedg	pedg	NOUN
ejpam-4103	156	31	method	method	NOUN
ejpam-4103	156	32	.	.	PUNCT
ejpam-4103	157	1	the	the	DET
ejpam-4103	157	2	accuracies	accuracy	NOUN
ejpam-4103	157	3	of	of	ADP
ejpam-4103	157	4	the	the	DET
ejpam-4103	157	5	proposed	propose	VERB
ejpam-4103	157	6	methods	method	NOUN
ejpam-4103	157	7	are	be	AUX
ejpam-4103	157	8	as	as	ADV
ejpam-4103	157	9	good	good	ADJ
ejpam-4103	157	10	as	as	ADP
ejpam-4103	157	11	the	the	DET
ejpam-4103	157	12	original	original	ADJ
ejpam-4103	157	13	group	group	NOUN
ejpam-4103	157	14	iterative	iterative	NOUN
ejpam-4103	157	15	methods	method	NOUN
ejpam-4103	157	16	but	but	CCONJ
ejpam-4103	157	17	they	they	PRON
ejpam-4103	157	18	require	require	VERB
ejpam-4103	157	19	lesser	less	ADJ
ejpam-4103	157	20	computing	computing	NOUN
ejpam-4103	157	21	timings	timing	NOUN
ejpam-4103	157	22	to	to	PART
ejpam-4103	157	23	achieve	achieve	VERB
ejpam-4103	157	24	the	the	DET
ejpam-4103	157	25	results	result	NOUN
ejpam-4103	157	26	.	.	PUNCT
ejpam-4103	158	1	figure	figure	NOUN
ejpam-4103	158	2	1	1	NUM
ejpam-4103	158	3	shown	show	VERB
ejpam-4103	158	4	that	that	SCONJ
ejpam-4103	158	5	the	the	DET
ejpam-4103	158	6	proposed	propose	VERB
ejpam-4103	158	7	method	method	NOUN
ejpam-4103	158	8	(	(	PUNCT
ejpam-4103	158	9	pedg	pedg	NOUN
ejpam-4103	158	10	)	)	PUNCT
ejpam-4103	158	11	method	method	NOUN
ejpam-4103	158	12	is	be	AUX
ejpam-4103	158	13	the	the	DET
ejpam-4103	158	14	most	most	ADJ
ejpam-4103	158	15	time	time	NOUN
ejpam-4103	158	16	-	-	PUNCT
ejpam-4103	158	17	reducing	reduce	VERB
ejpam-4103	158	18	method	method	NOUN
ejpam-4103	158	19	due	due	ADP
ejpam-4103	158	20	to	to	ADP
ejpam-4103	158	21	the	the	DET
ejpam-4103	158	22	lower	low	ADJ
ejpam-4103	158	23	computations	computation	NOUN
ejpam-4103	158	24	.	.	PUNCT
ejpam-4103	159	1	this	this	PRON
ejpam-4103	159	2	means	mean	VERB
ejpam-4103	159	3	that	that	SCONJ
ejpam-4103	159	4	the	the	DET
ejpam-4103	159	5	new	new	ADJ
ejpam-4103	159	6	technique	technique	NOUN
ejpam-4103	159	7	used	use	VERB
ejpam-4103	159	8	has	have	AUX
ejpam-4103	159	9	succeeded	succeed	VERB
ejpam-4103	159	10	in	in	ADP
ejpam-4103	159	11	improving	improve	VERB
ejpam-4103	159	12	the	the	DET
ejpam-4103	159	13	group	group	NOUN
ejpam-4103	159	14	iterative	iterative	NOUN
ejpam-4103	159	15	methods	method	NOUN
ejpam-4103	159	16	for	for	ADP
ejpam-4103	159	17	solving	solve	VERB
ejpam-4103	159	18	telegraph	telegraph	NOUN
ejpam-4103	159	19	equations	equation	NOUN
ejpam-4103	159	20	.	.	PUNCT
ejpam-4103	160	1	figure	figure	VERB
ejpam-4103	160	2	1	1	NUM
ejpam-4103	160	3	:	:	PUNCT
ejpam-4103	160	4	comparison	comparison	NOUN
ejpam-4103	160	5	of	of	ADP
ejpam-4103	160	6	elapsed	elapse	VERB
ejpam-4103	160	7	time	time	NOUN
ejpam-4103	160	8	for	for	ADP
ejpam-4103	160	9	all	all	DET
ejpam-4103	160	10	studied	study	VERB
ejpam-4103	160	11	methods	method	NOUN
ejpam-4103	160	12	.	.	PUNCT
ejpam-4103	161	1	5	5	X
ejpam-4103	161	2	.	.	X
ejpam-4103	161	3	conclusions	conclusion	NOUN
ejpam-4103	161	4	in	in	ADP
ejpam-4103	161	5	this	this	DET
ejpam-4103	161	6	study	study	NOUN
ejpam-4103	161	7	,	,	PUNCT
ejpam-4103	161	8	we	we	PRON
ejpam-4103	161	9	have	have	AUX
ejpam-4103	161	10	formulated	formulate	VERB
ejpam-4103	161	11	new	new	ADJ
ejpam-4103	161	12	preconditioned	preconditioned	ADJ
ejpam-4103	161	13	iterative	iterative	NOUN
ejpam-4103	161	14	method	method	NOUN
ejpam-4103	161	15	based	base	VERB
ejpam-4103	161	16	on	on	ADP
ejpam-4103	161	17	eg	eg	NOUN
ejpam-4103	161	18	and	and	CCONJ
ejpam-4103	161	19	edg	edg	PROPN
ejpam-4103	161	20	methods	method	NOUN
ejpam-4103	161	21	for	for	ADP
ejpam-4103	161	22	solving	solve	VERB
ejpam-4103	161	23	the	the	DET
ejpam-4103	161	24	telegraph	telegraph	NOUN
ejpam-4103	161	25	initial	initial	ADJ
ejpam-4103	161	26	boundary	boundary	ADJ
ejpam-4103	161	27	problems	problem	NOUN
ejpam-4103	161	28	.	.	PUNCT
ejpam-4103	162	1	from	from	ADP
ejpam-4103	162	2	observation	observation	NOUN
ejpam-4103	162	3	of	of	ADP
ejpam-4103	162	4	all	all	DET
ejpam-4103	162	5	experimental	experimental	ADJ
ejpam-4103	162	6	results	result	NOUN
ejpam-4103	162	7	,	,	PUNCT
ejpam-4103	162	8	it	it	PRON
ejpam-4103	162	9	can	can	AUX
ejpam-4103	162	10	be	be	AUX
ejpam-4103	162	11	concluded	conclude	VERB
ejpam-4103	162	12	that	that	SCONJ
ejpam-4103	162	13	the	the	DET
ejpam-4103	162	14	proposed	propose	VERB
ejpam-4103	162	15	preconditioned	precondition	VERB
ejpam-4103	162	16	edg	edg	NOUN
ejpam-4103	162	17	scheme	scheme	NOUN
ejpam-4103	162	18	may	may	AUX
ejpam-4103	162	19	be	be	AUX
ejpam-4103	162	20	a	a	DET
ejpam-4103	162	21	good	good	ADJ
ejpam-4103	162	22	alternative	alternative	NOUN
ejpam-4103	162	23	to	to	PART
ejpam-4103	162	24	solve	solve	VERB
ejpam-4103	162	25	this	this	DET
ejpam-4103	162	26	type	type	NOUN
ejpam-4103	162	27	of	of	ADP
ejpam-4103	162	28	problems	problem	NOUN
ejpam-4103	162	29	and	and	CCONJ
ejpam-4103	162	30	many	many	ADJ
ejpam-4103	162	31	other	other	ADJ
ejpam-4103	162	32	numerical	numerical	ADJ
ejpam-4103	162	33	problems	problem	NOUN
ejpam-4103	162	34	.	.	PUNCT
ejpam-4103	163	1	furthermore	furthermore	ADV
ejpam-4103	163	2	,	,	PUNCT
ejpam-4103	163	3	the	the	DET
ejpam-4103	163	4	idea	idea	NOUN
ejpam-4103	163	5	of	of	ADP
ejpam-4103	163	6	this	this	DET
ejpam-4103	163	7	preconditioning	precondition	VERB
ejpam-4103	163	8	technique	technique	NOUN
ejpam-4103	163	9	can	can	AUX
ejpam-4103	163	10	be	be	AUX
ejpam-4103	163	11	extended	extend	VERB
ejpam-4103	163	12	to	to	PART
ejpam-4103	163	13	solve	solve	VERB
ejpam-4103	163	14	other	other	ADJ
ejpam-4103	163	15	types	type	NOUN
ejpam-4103	163	16	of	of	ADP
ejpam-4103	163	17	initial	initial	ADJ
ejpam-4103	163	18	boundary	boundary	ADJ
ejpam-4103	163	19	problems	problem	NOUN
ejpam-4103	163	20	which	which	PRON
ejpam-4103	163	21	will	will	AUX
ejpam-4103	163	22	be	be	AUX
ejpam-4103	163	23	reported	report	VERB
ejpam-4103	163	24	separately	separately	ADV
ejpam-4103	163	25	in	in	ADP
ejpam-4103	163	26	the	the	DET
ejpam-4103	163	27	future	future	NOUN
ejpam-4103	163	28	.	.	PUNCT
ejpam-4103	164	1	acknowledgements	acknowledgement	VERB
ejpam-4103	164	2	the	the	DET
ejpam-4103	164	3	author	author	NOUN
ejpam-4103	164	4	would	would	AUX
ejpam-4103	164	5	like	like	VERB
ejpam-4103	164	6	to	to	PART
ejpam-4103	164	7	thank	thank	VERB
ejpam-4103	164	8	the	the	DET
ejpam-4103	164	9	department	department	NOUN
ejpam-4103	164	10	of	of	ADP
ejpam-4103	164	11	mathematics	mathematics	PROPN
ejpam-4103	164	12	,	,	PUNCT
ejpam-4103	164	13	college	college	NOUN
ejpam-4103	164	14	of	of	ADP
ejpam-4103	164	15	science	science	NOUN
ejpam-4103	164	16	and	and	CCONJ
ejpam-4103	164	17	the	the	DET
ejpam-4103	164	18	deanship	deanship	NOUN
ejpam-4103	164	19	of	of	ADP
ejpam-4103	164	20	scientific	scientific	ADJ
ejpam-4103	164	21	research	research	NOUN
ejpam-4103	164	22	at	at	ADP
ejpam-4103	164	23	qassim	qassim	PROPN
ejpam-4103	164	24	university	university	NOUN
ejpam-4103	164	25	for	for	ADP
ejpam-4103	164	26	encouraging	encourage	VERB
ejpam-4103	164	27	scientific	scientific	ADJ
ejpam-4103	164	28	references	reference	NOUN
ejpam-4103	164	29	1273	1273	NUM
ejpam-4103	164	30	research	research	NOUN
ejpam-4103	164	31	.	.	PUNCT
ejpam-4103	165	1	references	reference	NOUN
ejpam-4103	165	2	[	[	X
ejpam-4103	165	3	1	1	NUM
ejpam-4103	165	4	]	]	PUNCT
ejpam-4103	165	5	ar	ar	PROPN
ejpam-4103	165	6	abdullah	abdullah	PROPN
ejpam-4103	165	7	.	.	PUNCT
ejpam-4103	166	1	the	the	DET
ejpam-4103	166	2	four	four	NUM
ejpam-4103	166	3	point	point	NOUN
ejpam-4103	166	4	explicit	explicit	ADJ
ejpam-4103	166	5	decoupled	decouple	VERB
ejpam-4103	166	6	group	group	NOUN
ejpam-4103	166	7	(	(	PUNCT
ejpam-4103	166	8	edg	edg	PROPN
ejpam-4103	166	9	)	)	PUNCT
ejpam-4103	166	10	method	method	NOUN
ejpam-4103	166	11	:	:	PUNCT
ejpam-4103	166	12	a	a	DET
ejpam-4103	166	13	fast	fast	ADJ
ejpam-4103	166	14	poisson	poisson	NOUN
ejpam-4103	166	15	solver	solver	NOUN
ejpam-4103	166	16	.	.	PUNCT
ejpam-4103	167	1	international	international	ADJ
ejpam-4103	167	2	journal	journal	PROPN
ejpam-4103	167	3	of	of	ADP
ejpam-4103	167	4	computer	computer	NOUN
ejpam-4103	167	5	mathematics	mathematic	NOUN
ejpam-4103	167	6	,	,	PUNCT
ejpam-4103	167	7	38:61–70	38:61–70	NUM
ejpam-4103	167	8	,	,	PUNCT
ejpam-4103	167	9	1991	1991	NUM
ejpam-4103	167	10	.	.	PUNCT
ejpam-4103	168	1	[	[	X
ejpam-4103	168	2	2	2	NUM
ejpam-4103	168	3	]	]	X
ejpam-4103	168	4	nhm	nhm	PROPN
ejpam-4103	168	5	ali	ali	PROPN
ejpam-4103	168	6	and	and	CCONJ
ejpam-4103	168	7	dj	dj	PROPN
ejpam-4103	168	8	evans	evans	PROPN
ejpam-4103	168	9	.	.	PUNCT
ejpam-4103	169	1	preconditioned	precondition	VERB
ejpam-4103	169	2	rotated	rotate	VERB
ejpam-4103	169	3	iterative	iterative	NOUN
ejpam-4103	169	4	methods	method	NOUN
ejpam-4103	169	5	in	in	ADP
ejpam-4103	169	6	the	the	DET
ejpam-4103	169	7	solution	solution	NOUN
ejpam-4103	169	8	of	of	ADP
ejpam-4103	169	9	elliptic	elliptic	ADJ
ejpam-4103	169	10	pde	pde	NOUN
ejpam-4103	169	11	’s	’s	NOUN
ejpam-4103	169	12	.	.	PUNCT
ejpam-4103	170	1	international	international	ADJ
ejpam-4103	170	2	journal	journal	PROPN
ejpam-4103	170	3	of	of	ADP
ejpam-4103	170	4	computer	computer	NOUN
ejpam-4103	170	5	mathematics	mathematic	NOUN
ejpam-4103	170	6	,	,	PUNCT
ejpam-4103	170	7	81(9):1163–1174	81(9):1163–1174	NUM
ejpam-4103	170	8	,	,	PUNCT
ejpam-4103	170	9	2004	2004	NUM
ejpam-4103	170	10	.	.	PUNCT
ejpam-4103	171	1	[	[	X
ejpam-4103	171	2	3	3	NUM
ejpam-4103	171	3	]	]	X
ejpam-4103	171	4	nhm	nhm	PROPN
ejpam-4103	171	5	ali	ali	PROPN
ejpam-4103	171	6	and	and	CCONJ
ejpam-4103	171	7	am	be	AUX
ejpam-4103	171	8	saeed	saeed	PROPN
ejpam-4103	171	9	.	.	PUNCT
ejpam-4103	172	1	convergence	convergence	NOUN
ejpam-4103	172	2	analysis	analysis	NOUN
ejpam-4103	172	3	of	of	ADP
ejpam-4103	172	4	the	the	DET
ejpam-4103	172	5	preconditioned	preconditioned	ADJ
ejpam-4103	172	6	group	group	NOUN
ejpam-4103	172	7	splitting	splitting	NOUN
ejpam-4103	172	8	methods	method	NOUN
ejpam-4103	172	9	in	in	ADP
ejpam-4103	172	10	boundary	boundary	ADJ
ejpam-4103	172	11	value	value	NOUN
ejpam-4103	172	12	problems	problem	NOUN
ejpam-4103	172	13	.	.	PUNCT
ejpam-4103	173	1	abstract	abstract	ADJ
ejpam-4103	173	2	and	and	CCONJ
ejpam-4103	173	3	applied	apply	VERB
ejpam-4103	173	4	analysis	analysis	NOUN
ejpam-4103	173	5	,	,	PUNCT
ejpam-4103	173	6	2012:1–14	2012:1–14	NUM
ejpam-4103	173	7	,	,	PUNCT
ejpam-4103	173	8	2012	2012	NUM
ejpam-4103	173	9	.	.	PUNCT
ejpam-4103	174	1	[	[	X
ejpam-4103	174	2	4	4	NUM
ejpam-4103	174	3	]	]	X
ejpam-4103	174	4	nhm	nhm	PROPN
ejpam-4103	174	5	ali	ali	PROPN
ejpam-4103	174	6	and	and	CCONJ
ejpam-4103	174	7	am	be	AUX
ejpam-4103	174	8	saeed	saeed	PROPN
ejpam-4103	174	9	.	.	PUNCT
ejpam-4103	174	10	preconditioned	precondition	VERB
ejpam-4103	174	11	modified	modify	VERB
ejpam-4103	174	12	explicit	explicit	ADJ
ejpam-4103	174	13	decoupled	decouple	VERB
ejpam-4103	174	14	group	group	NOUN
ejpam-4103	174	15	for	for	ADP
ejpam-4103	174	16	the	the	DET
ejpam-4103	174	17	solution	solution	NOUN
ejpam-4103	174	18	of	of	ADP
ejpam-4103	174	19	steady	steady	ADJ
ejpam-4103	174	20	state	state	NOUN
ejpam-4103	174	21	navier	navier	NOUN
ejpam-4103	174	22	-	-	PUNCT
ejpam-4103	174	23	stokes	stoke	NOUN
ejpam-4103	174	24	equation	equation	NOUN
ejpam-4103	174	25	.	.	PUNCT
ejpam-4103	175	1	applied	apply	VERB
ejpam-4103	175	2	mathematics	mathematic	NOUN
ejpam-4103	175	3	and	and	CCONJ
ejpam-4103	175	4	information	information	NOUN
ejpam-4103	175	5	sciences	science	NOUN
ejpam-4103	175	6	,	,	PUNCT
ejpam-4103	175	7	7:1837–1844	7:1837–1844	NUM
ejpam-4103	175	8	,	,	PUNCT
ejpam-4103	175	9	2013	2013	NUM
ejpam-4103	175	10	.	.	PUNCT
ejpam-4103	176	1	[	[	X
ejpam-4103	176	2	5	5	NUM
ejpam-4103	176	3	]	]	PUNCT
ejpam-4103	176	4	m	m	PROPN
ejpam-4103	176	5	benzi	benzi	PROPN
ejpam-4103	176	6	and	and	CCONJ
ejpam-4103	176	7	z	z	PROPN
ejpam-4103	176	8	wang	wang	PROPN
ejpam-4103	176	9	.	.	PUNCT
ejpam-4103	177	1	a	a	DET
ejpam-4103	177	2	relaxed	relaxed	ADJ
ejpam-4103	177	3	dimensional	dimensional	ADJ
ejpam-4103	177	4	factorization	factorization	NOUN
ejpam-4103	177	5	preconditioner	preconditioner	NOUN
ejpam-4103	177	6	for	for	ADP
ejpam-4103	177	7	the	the	DET
ejpam-4103	177	8	incompressible	incompressible	ADJ
ejpam-4103	177	9	navier	navier	NOUN
ejpam-4103	177	10	-	-	PUNCT
ejpam-4103	177	11	stokes	stokes	PROPN
ejpam-4103	177	12	equations	equation	NOUN
ejpam-4103	177	13	.	.	PUNCT
ejpam-4103	178	1	journal	journal	NOUN
ejpam-4103	178	2	of	of	ADP
ejpam-4103	178	3	computational	computational	ADJ
ejpam-4103	178	4	physics	physic	NOUN
ejpam-4103	178	5	,	,	PUNCT
ejpam-4103	178	6	230(34):6185–6202	230(34):6185–6202	NUM
ejpam-4103	178	7	,	,	PUNCT
ejpam-4103	178	8	2011	2011	NUM
ejpam-4103	178	9	.	.	PUNCT
ejpam-4103	179	1	[	[	X
ejpam-4103	179	2	6	6	NUM
ejpam-4103	179	3	]	]	PUNCT
ejpam-4103	179	4	m	m	VERB
ejpam-4103	179	5	dehghan	dehghan	ADJ
ejpam-4103	179	6	and	and	CCONJ
ejpam-4103	179	7	a	a	DET
ejpam-4103	179	8	ghesmati	ghesmati	NOUN
ejpam-4103	179	9	.	.	PUNCT
ejpam-4103	180	1	combination	combination	NOUN
ejpam-4103	180	2	of	of	ADP
ejpam-4103	180	3	meshless	meshless	ADJ
ejpam-4103	180	4	local	local	ADJ
ejpam-4103	180	5	weak	weak	ADJ
ejpam-4103	180	6	and	and	CCONJ
ejpam-4103	180	7	strong	strong	ADJ
ejpam-4103	180	8	(	(	PUNCT
ejpam-4103	180	9	mlws	mlws	ADJ
ejpam-4103	180	10	)	)	PUNCT
ejpam-4103	180	11	forms	form	NOUN
ejpam-4103	180	12	to	to	PART
ejpam-4103	180	13	solve	solve	VERB
ejpam-4103	180	14	the	the	DET
ejpam-4103	180	15	two	two	NUM
ejpam-4103	180	16	dimensional	dimensional	ADJ
ejpam-4103	180	17	hyperbolic	hyperbolic	ADJ
ejpam-4103	180	18	telegraph	telegraph	NOUN
ejpam-4103	180	19	equation	equation	NOUN
ejpam-4103	180	20	.	.	PUNCT
ejpam-4103	181	1	eng	eng	PROPN
ejpam-4103	181	2	anal	anal	PROPN
ejpam-4103	181	3	bound	bind	VERB
ejpam-4103	181	4	elem	elem	NOUN
ejpam-4103	181	5	,	,	PUNCT
ejpam-4103	181	6	34:324–336	34:324–336	NUM
ejpam-4103	181	7	,	,	PUNCT
ejpam-4103	181	8	2010	2010	NUM
ejpam-4103	181	9	.	.	PUNCT
ejpam-4103	182	1	[	[	X
ejpam-4103	182	2	7	7	X
ejpam-4103	182	3	]	]	X
ejpam-4103	182	4	m	m	VERB
ejpam-4103	182	5	dehghan	dehghan	ADJ
ejpam-4103	182	6	and	and	CCONJ
ejpam-4103	182	7	a	a	DET
ejpam-4103	182	8	shokri	shokri	NOUN
ejpam-4103	182	9	.	.	PUNCT
ejpam-4103	183	1	a	a	DET
ejpam-4103	183	2	meshless	meshless	ADJ
ejpam-4103	183	3	method	method	NOUN
ejpam-4103	183	4	for	for	ADP
ejpam-4103	183	5	numerical	numerical	ADJ
ejpam-4103	183	6	solution	solution	NOUN
ejpam-4103	183	7	of	of	ADP
ejpam-4103	183	8	a	a	DET
ejpam-4103	183	9	linear	linear	ADJ
ejpam-4103	183	10	hyperbolic	hyperbolic	ADJ
ejpam-4103	183	11	equation	equation	NOUN
ejpam-4103	183	12	with	with	ADP
ejpam-4103	183	13	variable	variable	ADJ
ejpam-4103	183	14	coefficients	coefficient	NOUN
ejpam-4103	183	15	in	in	ADP
ejpam-4103	183	16	two	two	NUM
ejpam-4103	183	17	space	space	NOUN
ejpam-4103	183	18	dimensions	dimension	NOUN
ejpam-4103	183	19	.	.	PUNCT
ejpam-4103	184	1	numer	numer	PROPN
ejpam-4103	184	2	.	.	PUNCT
ejpam-4103	185	1	methods	method	NOUN
ejpam-4103	185	2	part	part	VERB
ejpam-4103	185	3	.	.	PUNCT
ejpam-4103	186	1	differ	differ	VERB
ejpam-4103	186	2	.	.	PUNCT
ejpam-4103	187	1	equ	equ	PROPN
ejpam-4103	187	2	.	.	PROPN
ejpam-4103	187	3	,	,	PUNCT
ejpam-4103	187	4	25:494–506	25:494–506	NUM
ejpam-4103	187	5	,	,	PUNCT
ejpam-4103	187	6	2009	2009	NUM
ejpam-4103	187	7	.	.	PUNCT
ejpam-4103	188	1	[	[	X
ejpam-4103	188	2	8	8	NUM
ejpam-4103	188	3	]	]	X
ejpam-4103	188	4	e	e	X
ejpam-4103	188	5	hesameddini	hesameddini	PROPN
ejpam-4103	188	6	and	and	CCONJ
ejpam-4103	188	7	e	e	NOUN
ejpam-4103	188	8	asadolahifard	asadolahifard	NOUN
ejpam-4103	188	9	.	.	PUNCT
ejpam-4103	189	1	a	a	DET
ejpam-4103	189	2	new	new	ADJ
ejpam-4103	189	3	spectral	spectral	ADJ
ejpam-4103	189	4	galerkin	galerkin	ADJ
ejpam-4103	189	5	method	method	NOUN
ejpam-4103	189	6	for	for	ADP
ejpam-4103	189	7	solving	solve	VERB
ejpam-4103	189	8	the	the	DET
ejpam-4103	189	9	two	two	NUM
ejpam-4103	189	10	dimensional	dimensional	ADJ
ejpam-4103	189	11	hyperbolic	hyperbolic	ADJ
ejpam-4103	189	12	telegraph	telegraph	NOUN
ejpam-4103	189	13	equation	equation	NOUN
ejpam-4103	189	14	.	.	PUNCT
ejpam-4103	190	1	eng	eng	PROPN
ejpam-4103	190	2	anal	anal	PROPN
ejpam-4103	190	3	bound	bind	VERB
ejpam-4103	190	4	elem	elem	NOUN
ejpam-4103	190	5	,	,	PUNCT
ejpam-4103	190	6	72:1926–42	72:1926–42	NUM
ejpam-4103	190	7	,	,	PUNCT
ejpam-4103	190	8	2016	2016	NUM
ejpam-4103	190	9	.	.	PUNCT
ejpam-4103	191	1	[	[	X
ejpam-4103	191	2	9	9	NUM
ejpam-4103	191	3	]	]	PUNCT
ejpam-4103	191	4	lm	lm	X
ejpam-4103	191	5	kew	kew	PROPN
ejpam-4103	191	6	and	and	CCONJ
ejpam-4103	191	7	nhm	nhm	PROPN
ejpam-4103	191	8	ali	ali	PROPN
ejpam-4103	191	9	.	.	PUNCT
ejpam-4103	192	1	explicit	explicit	ADJ
ejpam-4103	192	2	group	group	NOUN
ejpam-4103	192	3	iterative	iterative	NOUN
ejpam-4103	192	4	methods	method	NOUN
ejpam-4103	192	5	for	for	ADP
ejpam-4103	192	6	the	the	DET
ejpam-4103	192	7	solution	solution	NOUN
ejpam-4103	192	8	of	of	ADP
ejpam-4103	192	9	telegraph	telegraph	NOUN
ejpam-4103	192	10	equations	equation	NOUN
ejpam-4103	192	11	.	.	PUNCT
ejpam-4103	193	1	in	in	ADP
ejpam-4103	193	2	the	the	DET
ejpam-4103	193	3	2010	2010	NUM
ejpam-4103	193	4	international	international	ADJ
ejpam-4103	193	5	conference	conference	NOUN
ejpam-4103	193	6	of	of	ADP
ejpam-4103	193	7	applied	applied	ADJ
ejpam-4103	193	8	and	and	CCONJ
ejpam-4103	193	9	engineering	engineering	NOUN
ejpam-4103	193	10	mathematics	mathematics	PROPN
ejpam-4103	193	11	world	world	PROPN
ejpam-4103	193	12	congress	congress	PROPN
ejpam-4103	193	13	on	on	ADP
ejpam-4103	193	14	engineering	engineering	NOUN
ejpam-4103	193	15	,	,	PUNCT
ejpam-4103	193	16	volume	volume	NOUN
ejpam-4103	193	17	2010	2010	NUM
ejpam-4103	193	18	,	,	PUNCT
ejpam-4103	193	19	2010	2010	NUM
ejpam-4103	193	20	.	.	PUNCT
ejpam-4103	194	1	[	[	X
ejpam-4103	194	2	10	10	NUM
ejpam-4103	194	3	]	]	X
ejpam-4103	194	4	rk	rk	PROPN
ejpam-4103	194	5	mohanty	mohanty	NOUN
ejpam-4103	194	6	.	.	PUNCT
ejpam-4103	195	1	an	an	DET
ejpam-4103	195	2	operator	operator	NOUN
ejpam-4103	195	3	splitting	splitting	NOUN
ejpam-4103	195	4	method	method	NOUN
ejpam-4103	195	5	for	for	ADP
ejpam-4103	195	6	an	an	DET
ejpam-4103	195	7	unconditionally	unconditionally	ADV
ejpam-4103	195	8	stable	stable	ADJ
ejpam-4103	195	9	difference	difference	NOUN
ejpam-4103	195	10	scheme	scheme	NOUN
ejpam-4103	195	11	for	for	ADP
ejpam-4103	195	12	a	a	DET
ejpam-4103	195	13	linear	linear	ADJ
ejpam-4103	195	14	hyperbolic	hyperbolic	ADJ
ejpam-4103	195	15	equation	equation	NOUN
ejpam-4103	195	16	with	with	ADP
ejpam-4103	195	17	variable	variable	ADJ
ejpam-4103	195	18	coefficients	coefficient	NOUN
ejpam-4103	195	19	in	in	ADP
ejpam-4103	195	20	two	two	NUM
ejpam-4103	195	21	space	space	NOUN
ejpam-4103	195	22	dimensions	dimension	NOUN
ejpam-4103	195	23	.	.	PUNCT
ejpam-4103	196	1	appl	appl	PROPN
ejpam-4103	196	2	math	math	PROPN
ejpam-4103	196	3	comput	comput	PROPN
ejpam-4103	196	4	,	,	PUNCT
ejpam-4103	196	5	152:799–804	152:799–804	NUM
ejpam-4103	196	6	,	,	PUNCT
ejpam-4103	196	7	2004	2004	NUM
ejpam-4103	196	8	.	.	PUNCT
ejpam-4103	197	1	[	[	X
ejpam-4103	197	2	11	11	NUM
ejpam-4103	197	3	]	]	X
ejpam-4103	197	4	m	m	VERB
ejpam-4103	197	5	othman	othman	ADJ
ejpam-4103	197	6	and	and	CCONJ
ejpam-4103	197	7	ar	ar	PROPN
ejpam-4103	197	8	abdullah	abdullah	PROPN
ejpam-4103	197	9	.	.	PUNCT
ejpam-4103	198	1	an	an	DET
ejpam-4103	198	2	efficient	efficient	ADJ
ejpam-4103	198	3	four	four	NUM
ejpam-4103	198	4	points	point	NOUN
ejpam-4103	198	5	modified	modify	VERB
ejpam-4103	198	6	explicit	explicit	ADJ
ejpam-4103	198	7	group	group	NOUN
ejpam-4103	198	8	poisson	poisson	PROPN
ejpam-4103	198	9	solver	solver	VERB
ejpam-4103	198	10	.	.	PUNCT
ejpam-4103	199	1	international	international	ADJ
ejpam-4103	199	2	journal	journal	PROPN
ejpam-4103	199	3	of	of	ADP
ejpam-4103	199	4	computer	computer	NOUN
ejpam-4103	199	5	mathematics	mathematic	NOUN
ejpam-4103	199	6	,	,	PUNCT
ejpam-4103	199	7	76:203–217	76:203–217	PROPN
ejpam-4103	199	8	,	,	PUNCT
ejpam-4103	199	9	2002	2002	NUM
ejpam-4103	199	10	.	.	PUNCT
ejpam-4103	200	1	[	[	X
ejpam-4103	200	2	12	12	NUM
ejpam-4103	200	3	]	]	PUNCT
ejpam-4103	200	4	am	be	AUX
ejpam-4103	201	1	saeed	saeed	PROPN
ejpam-4103	201	2	.	.	PUNCT
ejpam-4103	202	1	efficient	efficient	ADJ
ejpam-4103	202	2	group	group	NOUN
ejpam-4103	202	3	iterative	iterative	NOUN
ejpam-4103	202	4	method	method	NOUN
ejpam-4103	202	5	for	for	ADP
ejpam-4103	202	6	solving	solve	VERB
ejpam-4103	202	7	the	the	DET
ejpam-4103	202	8	biharmonic	biharmonic	NOUN
ejpam-4103	202	9	equation	equation	NOUN
ejpam-4103	202	10	.	.	PUNCT
ejpam-4103	203	1	british	british	ADJ
ejpam-4103	203	2	journal	journal	PROPN
ejpam-4103	203	3	of	of	ADP
ejpam-4103	203	4	mathematics	mathematics	PROPN
ejpam-4103	203	5	and	and	CCONJ
ejpam-4103	203	6	computer	computer	NOUN
ejpam-4103	203	7	science	science	NOUN
ejpam-4103	203	8	,	,	PUNCT
ejpam-4103	203	9	9:237–245	9:237–245	NUM
ejpam-4103	203	10	,	,	PUNCT
ejpam-4103	203	11	2015	2015	NUM
ejpam-4103	203	12	.	.	PUNCT
ejpam-4103	204	1	references	reference	NOUN
ejpam-4103	204	2	1274	1274	NUM
ejpam-4103	204	3	[	[	X
ejpam-4103	204	4	13	13	NUM
ejpam-4103	204	5	]	]	PUNCT
ejpam-4103	204	6	am	be	AUX
ejpam-4103	204	7	saeed	saeed	PROPN
ejpam-4103	204	8	.	.	PUNCT
ejpam-4103	205	1	improved	improve	VERB
ejpam-4103	205	2	rotated	rotate	VERB
ejpam-4103	205	3	finite	finite	ADJ
ejpam-4103	205	4	difference	difference	NOUN
ejpam-4103	205	5	method	method	NOUN
ejpam-4103	205	6	for	for	ADP
ejpam-4103	205	7	solving	solve	VERB
ejpam-4103	205	8	fractional	fractional	ADJ
ejpam-4103	205	9	elliptic	elliptic	ADJ
ejpam-4103	205	10	partial	partial	ADJ
ejpam-4103	205	11	differential	differential	NOUN
ejpam-4103	205	12	equations	equation	NOUN
ejpam-4103	205	13	.	.	PUNCT
ejpam-4103	206	1	american	american	ADJ
ejpam-4103	206	2	scientific	scientific	ADJ
ejpam-4103	206	3	research	research	PROPN
ejpam-4103	206	4	journal	journal	NOUN
ejpam-4103	206	5	for	for	ADP
ejpam-4103	206	6	engineering	engineering	NOUN
ejpam-4103	206	7	,	,	PUNCT
ejpam-4103	206	8	technology	technology	NOUN
ejpam-4103	206	9	,	,	PUNCT
ejpam-4103	206	10	and	and	CCONJ
ejpam-4103	206	11	sciences	science	NOUN
ejpam-4103	206	12	,	,	PUNCT
ejpam-4103	206	13	25:261–270	25:261–270	NUM
ejpam-4103	206	14	,	,	PUNCT
ejpam-4103	206	15	2016	2016	NUM
ejpam-4103	206	16	.	.	PUNCT
ejpam-4103	207	1	[	[	X
ejpam-4103	207	2	14	14	NUM
ejpam-4103	207	3	]	]	PUNCT
ejpam-4103	207	4	am	be	AUX
ejpam-4103	207	5	saeed	saeed	NOUN
ejpam-4103	207	6	.	.	PUNCT
ejpam-4103	208	1	a	a	DET
ejpam-4103	208	2	numerical	numerical	ADJ
ejpam-4103	208	3	study	study	NOUN
ejpam-4103	208	4	on	on	ADP
ejpam-4103	208	5	medg	medg	NOUN
ejpam-4103	208	6	iterative	iterative	NOUN
ejpam-4103	208	7	method	method	NOUN
ejpam-4103	208	8	for	for	ADP
ejpam-4103	208	9	solving	solve	VERB
ejpam-4103	208	10	nonlinear	nonlinear	ADJ
ejpam-4103	208	11	steady	steady	ADJ
ejpam-4103	208	12	burgers	burger	NOUN
ejpam-4103	208	13	’	'	PUNCT
ejpam-4103	208	14	equation	equation	NOUN
ejpam-4103	208	15	.	.	PUNCT
ejpam-4103	209	1	global	global	ADJ
ejpam-4103	209	2	journal	journal	PROPN
ejpam-4103	209	3	of	of	ADP
ejpam-4103	209	4	engineering	engineering	NOUN
ejpam-4103	209	5	science	science	NOUN
ejpam-4103	209	6	and	and	CCONJ
ejpam-4103	209	7	research	research	NOUN
ejpam-4103	209	8	management	management	NOUN
ejpam-4103	209	9	,	,	PUNCT
ejpam-4103	209	10	25:32–40	25:32–40	NUM
ejpam-4103	209	11	,	,	PUNCT
ejpam-4103	209	12	2017	2017	NUM
ejpam-4103	209	13	.	.	PUNCT
ejpam-4103	210	1	[	[	X
ejpam-4103	210	2	15	15	NUM
ejpam-4103	210	3	]	]	AUX
ejpam-4103	210	4	am	be	AUX
ejpam-4103	210	5	saeed	saeed	NOUN
ejpam-4103	210	6	.	.	PUNCT
ejpam-4103	211	1	a	a	DET
ejpam-4103	211	2	new	new	ADJ
ejpam-4103	211	3	version	version	NOUN
ejpam-4103	211	4	of	of	ADP
ejpam-4103	211	5	the	the	DET
ejpam-4103	211	6	accelerated	accelerate	VERB
ejpam-4103	211	7	frfd	frfd	NOUN
ejpam-4103	211	8	method	method	NOUN
ejpam-4103	211	9	for	for	ADP
ejpam-4103	211	10	solving	solve	VERB
ejpam-4103	211	11	time	time	NOUN
ejpam-4103	211	12	-	-	PUNCT
ejpam-4103	211	13	fractional	fractional	ADJ
ejpam-4103	211	14	diffusion	diffusion	NOUN
ejpam-4103	211	15	equations	equation	NOUN
ejpam-4103	211	16	.	.	PUNCT
ejpam-4103	212	1	journal	journal	NOUN
ejpam-4103	212	2	of	of	ADP
ejpam-4103	212	3	computer	computer	NOUN
ejpam-4103	212	4	science	science	NOUN
ejpam-4103	212	5	and	and	CCONJ
ejpam-4103	212	6	computational	computational	ADJ
ejpam-4103	212	7	mathematics	mathematic	NOUN
ejpam-4103	212	8	,	,	PUNCT
ejpam-4103	212	9	8:55–57	8:55–57	NUM
ejpam-4103	212	10	,	,	PUNCT
ejpam-4103	212	11	2018	2018	NUM
ejpam-4103	212	12	.	.	PUNCT
ejpam-4103	213	1	[	[	X
ejpam-4103	213	2	16	16	NUM
ejpam-4103	213	3	]	]	PUNCT
ejpam-4103	213	4	am	be	AUX
ejpam-4103	213	5	saeed	saeed	NOUN
ejpam-4103	213	6	and	and	CCONJ
ejpam-4103	213	7	n	n	PROPN
ejpam-4103	213	8	al	al	PROPN
ejpam-4103	213	9	-	-	PUNCT
ejpam-4103	213	10	harbi	harbi	PROPN
ejpam-4103	213	11	.	.	PUNCT
ejpam-4103	214	1	group	group	NOUN
ejpam-4103	214	2	splitting	splitting	NOUN
ejpam-4103	214	3	with	with	ADP
ejpam-4103	214	4	sor	sor	NOUN
ejpam-4103	214	5	/	/	SYM
ejpam-4103	214	6	aor	aor	PROPN
ejpam-4103	214	7	methods	method	NOUN
ejpam-4103	214	8	for	for	ADP
ejpam-4103	214	9	solving	solve	VERB
ejpam-4103	214	10	boundary	boundary	ADJ
ejpam-4103	214	11	value	value	NOUN
ejpam-4103	214	12	problems	problem	NOUN
ejpam-4103	214	13	:	:	PUNCT
ejpam-4103	214	14	a	a	DET
ejpam-4103	214	15	computational	computational	ADJ
ejpam-4103	214	16	comparison	comparison	NOUN
ejpam-4103	214	17	.	.	PUNCT
ejpam-4103	215	1	european	european	ADJ
ejpam-4103	215	2	journal	journal	PROPN
ejpam-4103	215	3	of	of	ADP
ejpam-4103	215	4	pure	pure	ADJ
ejpam-4103	215	5	and	and	CCONJ
ejpam-4103	215	6	applied	applied	ADJ
ejpam-4103	215	7	mathematics	mathematic	NOUN
ejpam-4103	215	8	,	,	PUNCT
ejpam-4103	215	9	14:905–914	14:905–914	NUM
ejpam-4103	215	10	,	,	PUNCT
ejpam-4103	215	11	2021	2021	NUM
ejpam-4103	215	12	.	.	PUNCT
ejpam-4103	216	1	[	[	X
ejpam-4103	216	2	17	17	NUM
ejpam-4103	216	3	]	]	PUNCT
ejpam-4103	216	4	am	be	AUX
ejpam-4103	216	5	saeed	saeed	PROPN
ejpam-4103	216	6	and	and	CCONJ
ejpam-4103	216	7	nhm	nhm	PROPN
ejpam-4103	216	8	ali	ali	PROPN
ejpam-4103	216	9	.	.	PUNCT
ejpam-4103	217	1	on	on	ADP
ejpam-4103	217	2	the	the	DET
ejpam-4103	217	3	convergence	convergence	NOUN
ejpam-4103	217	4	of	of	ADP
ejpam-4103	217	5	the	the	DET
ejpam-4103	217	6	preconditioned	preconditioned	ADJ
ejpam-4103	217	7	group	group	NOUN
ejpam-4103	217	8	rotated	rotate	VERB
ejpam-4103	217	9	iterative	iterative	NOUN
ejpam-4103	217	10	methods	method	NOUN
ejpam-4103	217	11	in	in	ADP
ejpam-4103	217	12	the	the	DET
ejpam-4103	217	13	solution	solution	NOUN
ejpam-4103	217	14	of	of	ADP
ejpam-4103	217	15	elliptic	elliptic	ADJ
ejpam-4103	217	16	pdes	pde	NOUN
ejpam-4103	217	17	.	.	PUNCT
ejpam-4103	218	1	applied	apply	VERB
ejpam-4103	218	2	mathematics	mathematic	NOUN
ejpam-4103	218	3	and	and	CCONJ
ejpam-4103	218	4	information	information	NOUN
ejpam-4103	218	5	sciences	science	NOUN
ejpam-4103	218	6	,	,	PUNCT
ejpam-4103	218	7	5(1):65–73	5(1):65–73	NUM
ejpam-4103	218	8	,	,	PUNCT
ejpam-4103	218	9	2011	2011	NUM
ejpam-4103	218	10	.	.	PUNCT
ejpam-4103	219	1	[	[	X
ejpam-4103	219	2	18	18	NUM
ejpam-4103	219	3	]	]	PUNCT
ejpam-4103	219	4	am	be	AUX
ejpam-4103	219	5	saeed	saeed	PROPN
ejpam-4103	219	6	and	and	CCONJ
ejpam-4103	219	7	nhm	nhm	PROPN
ejpam-4103	219	8	ali	ali	PROPN
ejpam-4103	219	9	.	.	PROPN
ejpam-4103	220	1	accelerated	accelerate	VERB
ejpam-4103	220	2	solution	solution	NOUN
ejpam-4103	220	3	of	of	ADP
ejpam-4103	220	4	two	two	NUM
ejpam-4103	220	5	dimensional	dimensional	ADJ
ejpam-4103	220	6	diffusion	diffusion	NOUN
ejpam-4103	220	7	equation	equation	NOUN
ejpam-4103	220	8	.	.	PUNCT
ejpam-4103	221	1	world	world	NOUN
ejpam-4103	221	2	applied	apply	VERB
ejpam-4103	221	3	sciences	science	NOUN
ejpam-4103	221	4	journal	journal	NOUN
ejpam-4103	221	5	,	,	PUNCT
ejpam-4103	221	6	7:1906–1912	7:1906–1912	NUM
ejpam-4103	221	7	,	,	PUNCT
ejpam-4103	221	8	2014	2014	NUM
ejpam-4103	221	9	.	.	PUNCT
ejpam-4103	222	1	[	[	X
ejpam-4103	222	2	19	19	NUM
ejpam-4103	222	3	]	]	X
ejpam-4103	222	4	s	s	X
ejpam-4103	222	5	xiang	xiang	PROPN
ejpam-4103	222	6	and	and	CCONJ
ejpam-4103	222	7	s	s	PROPN
ejpam-4103	222	8	zhang	zhang	PROPN
ejpam-4103	222	9	.	.	PUNCT
ejpam-4103	223	1	a	a	DET
ejpam-4103	223	2	convergence	convergence	NOUN
ejpam-4103	223	3	analysis	analysis	NOUN
ejpam-4103	223	4	of	of	ADP
ejpam-4103	223	5	block	block	NOUN
ejpam-4103	223	6	accelerated	accelerate	VERB
ejpam-4103	223	7	over	over	ADP
ejpam-4103	223	8	-	-	PUNCT
ejpam-4103	223	9	relaxation	relaxation	NOUN
ejpam-4103	223	10	iterative	iterative	NOUN
ejpam-4103	223	11	methods	method	NOUN
ejpam-4103	223	12	for	for	ADP
ejpam-4103	223	13	weak	weak	ADJ
ejpam-4103	223	14	block	block	NOUN
ejpam-4103	223	15	h	h	NOUN
ejpam-4103	223	16	-	-	PUNCT
ejpam-4103	223	17	matrices	matrix	NOUN
ejpam-4103	223	18	to	to	ADP
ejpam-4103	223	19	partition	partition	NOUN
ejpam-4103	223	20	.	.	PUNCT
ejpam-4103	224	1	linear	linear	ADJ
ejpam-4103	224	2	algebra	algebra	NOUN
ejpam-4103	224	3	and	and	CCONJ
ejpam-4103	224	4	its	its	PRON
ejpam-4103	224	5	applications	application	NOUN
ejpam-4103	224	6	,	,	PUNCT
ejpam-4103	224	7	418:20–32	418:20–32	NUM
ejpam-4103	224	8	,	,	PUNCT
ejpam-4103	224	9	2006	2006	NUM
ejpam-4103	224	10	.	.	PUNCT
ejpam-4103	225	1	[	[	X
ejpam-4103	225	2	20	20	NUM
ejpam-4103	225	3	]	]	PUNCT
ejpam-4103	225	4	ws	ws	NOUN
ejpam-4103	225	5	yousif	yousif	PROPN
ejpam-4103	225	6	and	and	CCONJ
ejpam-4103	225	7	dj	dj	X
ejpam-4103	225	8	evans	evan	NOUN
ejpam-4103	225	9	.	.	PUNCT
ejpam-4103	226	1	explicit	explicit	ADJ
ejpam-4103	226	2	group	group	NOUN
ejpam-4103	226	3	over	over	ADP
ejpam-4103	226	4	-	-	PUNCT
ejpam-4103	226	5	relaxation	relaxation	NOUN
ejpam-4103	226	6	methods	method	NOUN
ejpam-4103	226	7	for	for	ADP
ejpam-4103	226	8	solving	solve	VERB
ejpam-4103	226	9	elliptic	elliptic	ADJ
ejpam-4103	226	10	partial	partial	ADJ
ejpam-4103	226	11	differential	differential	NOUN
ejpam-4103	226	12	equations	equation	NOUN
ejpam-4103	226	13	.	.	PUNCT
ejpam-4103	227	1	mathematics	mathematic	NOUN
ejpam-4103	227	2	and	and	CCONJ
ejpam-4103	227	3	computers	computer	NOUN
ejpam-4103	227	4	in	in	ADP
ejpam-4103	227	5	simulation	simulation	NOUN
ejpam-4103	227	6	,	,	PUNCT
ejpam-4103	227	7	28(6):453	28(6):453	NUM
ejpam-4103	227	8	–	–	PUNCT
ejpam-4103	227	9	466	466	NUM
ejpam-4103	227	10	,	,	PUNCT
ejpam-4103	227	11	1986	1986	NUM
ejpam-4103	227	12	.	.	PUNCT
ejpam-4103	228	1	[	[	X
ejpam-4103	228	2	21	21	NUM
ejpam-4103	228	3	]	]	X
ejpam-4103	228	4	ws	ws	NOUN
ejpam-4103	228	5	yousif	yousif	PROPN
ejpam-4103	228	6	and	and	CCONJ
ejpam-4103	228	7	dj	dj	X
ejpam-4103	228	8	evans	evan	NOUN
ejpam-4103	228	9	.	.	PUNCT
ejpam-4103	229	1	explicit	explicit	ADJ
ejpam-4103	229	2	de	de	ADV
ejpam-4103	229	3	-	-	ADJ
ejpam-4103	229	4	coupled	couple	VERB
ejpam-4103	229	5	group	group	NOUN
ejpam-4103	229	6	iterative	iterative	NOUN
ejpam-4103	229	7	methods	method	NOUN
ejpam-4103	229	8	and	and	CCONJ
ejpam-4103	229	9	their	their	PRON
ejpam-4103	229	10	parallel	parallel	ADJ
ejpam-4103	229	11	implementations	implementation	NOUN
ejpam-4103	229	12	.	.	PUNCT
ejpam-4103	230	1	parallel	parallel	ADJ
ejpam-4103	230	2	algorithms	algorithm	NOUN
ejpam-4103	230	3	and	and	CCONJ
ejpam-4103	230	4	applications	application	NOUN
ejpam-4103	230	5	,	,	PUNCT
ejpam-4103	230	6	7:53–71	7:53–71	NOUN
ejpam-4103	230	7	,	,	PUNCT
ejpam-4103	230	8	1995	1995	NUM
ejpam-4103	230	9	.	.	PUNCT