id	sid	tid	token	lemma	pos
ejpam-4031	1	1	european	european	PROPN
ejpam-4031	1	2	journal	journal	PROPN
ejpam-4031	1	3	of	of	ADP
ejpam-4031	1	4	pure	pure	ADJ
ejpam-4031	1	5	and	and	CCONJ
ejpam-4031	1	6	applied	apply	VERB
ejpam-4031	1	7	mathematics	mathematic	NOUN
ejpam-4031	1	8	vol	vol	NOUN
ejpam-4031	1	9	.	.	PUNCT
ejpam-4031	2	1	14	14	NUM
ejpam-4031	2	2	,	,	PUNCT
ejpam-4031	2	3	no	no	INTJ
ejpam-4031	2	4	.	.	NOUN
ejpam-4031	2	5	3	3	NUM
ejpam-4031	2	6	,	,	PUNCT
ejpam-4031	2	7	2021	2021	NUM
ejpam-4031	2	8	,	,	PUNCT
ejpam-4031	2	9	905	905	NUM
ejpam-4031	2	10	-	-	SYM
ejpam-4031	2	11	914	914	NUM
ejpam-4031	2	12	issn	issn	PROPN
ejpam-4031	2	13	1307	1307	NUM
ejpam-4031	2	14	-	-	SYM
ejpam-4031	2	15	5543	5543	NUM
ejpam-4031	2	16	–	–	PUNCT
ejpam-4031	3	1	ejpam.com	ejpam.com	X
ejpam-4031	3	2	published	publish	VERB
ejpam-4031	3	3	by	by	ADP
ejpam-4031	3	4	new	new	PROPN
ejpam-4031	3	5	york	york	PROPN
ejpam-4031	3	6	business	business	PROPN
ejpam-4031	3	7	global	global	ADJ
ejpam-4031	3	8	group	group	NOUN
ejpam-4031	3	9	splitting	splitting	NOUN
ejpam-4031	3	10	with	with	ADP
ejpam-4031	3	11	sor	sor	NOUN
ejpam-4031	3	12	/	/	SYM
ejpam-4031	3	13	aor	aor	PROPN
ejpam-4031	3	14	methods	method	NOUN
ejpam-4031	3	15	for	for	ADP
ejpam-4031	3	16	solving	solve	VERB
ejpam-4031	3	17	boundary	boundary	ADJ
ejpam-4031	3	18	value	value	NOUN
ejpam-4031	3	19	problems	problem	NOUN
ejpam-4031	3	20	:	:	PUNCT
ejpam-4031	3	21	a	a	DET
ejpam-4031	3	22	computational	computational	ADJ
ejpam-4031	3	23	comparison	comparison	NOUN
ejpam-4031	3	24	abdulkafi	abdulkafi	PROPN
ejpam-4031	3	25	mohammed	mohammed	PROPN
ejpam-4031	3	26	saeed,1,∗	saeed,1,∗	PROPN
ejpam-4031	3	27	,	,	PUNCT
ejpam-4031	3	28	najah	najah	ADV
ejpam-4031	3	29	mohammad	mohammad	PROPN
ejpam-4031	3	30	al	al	PROPN
ejpam-4031	3	31	-	-	PUNCT
ejpam-4031	3	32	harbi2	harbi2	PROPN
ejpam-4031	3	33	1	1	NUM
ejpam-4031	3	34	department	department	NOUN
ejpam-4031	3	35	of	of	ADP
ejpam-4031	3	36	mathematics	mathematic	NOUN
ejpam-4031	3	37	,	,	PUNCT
ejpam-4031	3	38	college	college	NOUN
ejpam-4031	3	39	of	of	ADP
ejpam-4031	3	40	science	science	NOUN
ejpam-4031	3	41	,	,	PUNCT
ejpam-4031	3	42	qassim	qassim	PROPN
ejpam-4031	3	43	university	university	PROPN
ejpam-4031	3	44	,	,	PUNCT
ejpam-4031	3	45	buraydah	buraydah	NOUN
ejpam-4031	3	46	,	,	PUNCT
ejpam-4031	3	47	kingdom	kingdom	NOUN
ejpam-4031	3	48	of	of	ADP
ejpam-4031	3	49	saudi	saudi	PROPN
ejpam-4031	3	50	arabia	arabia	PROPN
ejpam-4031	3	51	2	2	NUM
ejpam-4031	3	52	department	department	NOUN
ejpam-4031	3	53	of	of	ADP
ejpam-4031	3	54	mathematics	mathematic	NOUN
ejpam-4031	3	55	,	,	PUNCT
ejpam-4031	3	56	college	college	NOUN
ejpam-4031	3	57	of	of	ADP
ejpam-4031	3	58	science	science	NOUN
ejpam-4031	3	59	and	and	CCONJ
ejpam-4031	3	60	arts	art	NOUN
ejpam-4031	3	61	in	in	ADP
ejpam-4031	3	62	uglat	uglat	PROPN
ejpam-4031	3	63	asugour	asugour	PROPN
ejpam-4031	3	64	,	,	PUNCT
ejpam-4031	3	65	qassim	qassim	PROPN
ejpam-4031	3	66	university	university	PROPN
ejpam-4031	3	67	,	,	PUNCT
ejpam-4031	3	68	buraydah	buraydah	NOUN
ejpam-4031	3	69	,	,	PUNCT
ejpam-4031	3	70	kingdom	kingdom	NOUN
ejpam-4031	3	71	of	of	ADP
ejpam-4031	3	72	saudi	saudi	PROPN
ejpam-4031	3	73	arabia	arabia	PROPN
ejpam-4031	3	74	abstract	abstract	NOUN
ejpam-4031	3	75	.	.	PUNCT
ejpam-4031	4	1	many	many	ADJ
ejpam-4031	4	2	researchers	researcher	NOUN
ejpam-4031	4	3	are	be	AUX
ejpam-4031	4	4	working	work	VERB
ejpam-4031	4	5	on	on	ADP
ejpam-4031	4	6	the	the	DET
ejpam-4031	4	7	explicit	explicit	ADJ
ejpam-4031	4	8	group	group	NOUN
ejpam-4031	4	9	methods	method	NOUN
ejpam-4031	4	10	as	as	ADP
ejpam-4031	4	11	the	the	DET
ejpam-4031	4	12	alternative	alternative	ADJ
ejpam-4031	4	13	methods	method	NOUN
ejpam-4031	4	14	for	for	ADP
ejpam-4031	4	15	solving	solve	VERB
ejpam-4031	4	16	several	several	ADJ
ejpam-4031	4	17	boundary	boundary	ADJ
ejpam-4031	4	18	value	value	NOUN
ejpam-4031	4	19	problems	problem	NOUN
ejpam-4031	4	20	.	.	PUNCT
ejpam-4031	5	1	these	these	DET
ejpam-4031	5	2	methods	method	NOUN
ejpam-4031	5	3	have	have	AUX
ejpam-4031	5	4	been	be	AUX
ejpam-4031	5	5	shown	show	VERB
ejpam-4031	5	6	to	to	PART
ejpam-4031	5	7	be	be	AUX
ejpam-4031	5	8	much	much	ADV
ejpam-4031	5	9	faster	fast	ADJ
ejpam-4031	5	10	than	than	ADP
ejpam-4031	5	11	the	the	DET
ejpam-4031	5	12	other	other	ADJ
ejpam-4031	5	13	point	point	NOUN
ejpam-4031	5	14	iterative	iterative	NOUN
ejpam-4031	5	15	methods	method	NOUN
ejpam-4031	5	16	in	in	ADP
ejpam-4031	5	17	solving	solve	VERB
ejpam-4031	5	18	the	the	DET
ejpam-4031	5	19	elliptic	elliptic	ADJ
ejpam-4031	5	20	partial	partial	ADJ
ejpam-4031	5	21	differential	differential	ADJ
ejpam-4031	5	22	equations	equation	NOUN
ejpam-4031	5	23	(	(	PUNCT
ejpam-4031	5	24	epdes	epde	NOUN
ejpam-4031	5	25	)	)	PUNCT
ejpam-4031	5	26	,	,	PUNCT
ejpam-4031	5	27	which	which	PRON
ejpam-4031	5	28	is	be	AUX
ejpam-4031	5	29	due	due	ADJ
ejpam-4031	5	30	to	to	ADP
ejpam-4031	5	31	the	the	DET
ejpam-4031	5	32	formers	former	NOUN
ejpam-4031	5	33	’	’	PART
ejpam-4031	5	34	overall	overall	ADV
ejpam-4031	5	35	lower	low	ADJ
ejpam-4031	5	36	computational	computational	ADJ
ejpam-4031	5	37	complexities	complexity	NOUN
ejpam-4031	5	38	.	.	PUNCT
ejpam-4031	6	1	this	this	DET
ejpam-4031	6	2	paper	paper	NOUN
ejpam-4031	6	3	is	be	AUX
ejpam-4031	6	4	concerned	concern	VERB
ejpam-4031	6	5	with	with	ADP
ejpam-4031	6	6	the	the	DET
ejpam-4031	6	7	application	application	NOUN
ejpam-4031	6	8	of	of	ADP
ejpam-4031	6	9	a	a	DET
ejpam-4031	6	10	suitable	suitable	ADJ
ejpam-4031	6	11	explicit	explicit	ADJ
ejpam-4031	6	12	group	group	NOUN
ejpam-4031	6	13	(	(	PUNCT
ejpam-4031	6	14	eg	eg	NOUN
ejpam-4031	6	15	)	)	PUNCT
ejpam-4031	6	16	iterative	iterative	NOUN
ejpam-4031	6	17	method	method	NOUN
ejpam-4031	6	18	for	for	ADP
ejpam-4031	6	19	solving	solve	VERB
ejpam-4031	6	20	epdes	epde	NOUN
ejpam-4031	6	21	.	.	PUNCT
ejpam-4031	7	1	this	this	DET
ejpam-4031	7	2	study	study	NOUN
ejpam-4031	7	3	will	will	AUX
ejpam-4031	7	4	compare	compare	VERB
ejpam-4031	7	5	several	several	ADJ
ejpam-4031	7	6	iterative	iterative	NOUN
ejpam-4031	7	7	methods	method	NOUN
ejpam-4031	7	8	such	such	ADJ
ejpam-4031	7	9	that	that	SCONJ
ejpam-4031	7	10	s5	s5	PROPN
ejpam-4031	7	11	-	-	PUNCT
ejpam-4031	7	12	point	point	NOUN
ejpam-4031	7	13	-	-	PUNCT
ejpam-4031	7	14	sor,4	sor,4	NOUN
ejpam-4031	7	15	point	point	NOUN
ejpam-4031	7	16	-	-	PUNCT
ejpam-4031	7	17	egsor	egsor	NOUN
ejpam-4031	7	18	,	,	PUNCT
ejpam-4031	7	19	5s	5s	NUM
ejpam-4031	7	20	-	-	PUNCT
ejpam-4031	7	21	pointaor	pointaor	NOUN
ejpam-4031	7	22	,	,	PUNCT
ejpam-4031	7	23	and	and	CCONJ
ejpam-4031	7	24	4	4	NUM
ejpam-4031	7	25	point	point	NOUN
ejpam-4031	7	26	-	-	PUNCT
ejpam-4031	7	27	egaor	egaor	NOUN
ejpam-4031	7	28	.	.	PUNCT
ejpam-4031	8	1	numerical	numerical	ADJ
ejpam-4031	8	2	experiments	experiment	NOUN
ejpam-4031	8	3	were	be	AUX
ejpam-4031	8	4	carried	carry	VERB
ejpam-4031	8	5	out	out	ADP
ejpam-4031	8	6	to	to	PART
ejpam-4031	8	7	confirm	confirm	VERB
ejpam-4031	8	8	our	our	PRON
ejpam-4031	8	9	results	result	NOUN
ejpam-4031	8	10	by	by	ADP
ejpam-4031	8	11	using	use	VERB
ejpam-4031	8	12	matlab	matlab	PROPN
ejpam-4031	8	13	software	software	NOUN
ejpam-4031	8	14	.	.	PUNCT
ejpam-4031	9	1	the	the	DET
ejpam-4031	9	2	results	result	NOUN
ejpam-4031	9	3	reveal	reveal	VERB
ejpam-4031	9	4	that	that	SCONJ
ejpam-4031	9	5	4	4	NUM
ejpam-4031	9	6	point	point	NOUN
ejpam-4031	9	7	-	-	PUNCT
ejpam-4031	9	8	egaor	egaor	NOUN
ejpam-4031	9	9	is	be	AUX
ejpam-4031	9	10	the	the	DET
ejpam-4031	9	11	most	most	ADV
ejpam-4031	9	12	superior	superior	ADJ
ejpam-4031	9	13	method	method	NOUN
ejpam-4031	9	14	among	among	ADP
ejpam-4031	9	15	these	these	DET
ejpam-4031	9	16	methods	method	NOUN
ejpam-4031	9	17	.	.	PUNCT
ejpam-4031	10	1	2020	2020	NUM
ejpam-4031	10	2	mathematics	mathematic	NOUN
ejpam-4031	10	3	subject	subject	NOUN
ejpam-4031	10	4	classifications	classification	NOUN
ejpam-4031	10	5	:	:	PUNCT
ejpam-4031	10	6	no	no	DET
ejpam-4031	10	7	ams	ams	NOUN
ejpam-4031	10	8	code	code	VERB
ejpam-4031	10	9	key	key	ADJ
ejpam-4031	10	10	words	word	NOUN
ejpam-4031	10	11	and	and	CCONJ
ejpam-4031	10	12	phrases	phrase	NOUN
ejpam-4031	10	13	:	:	PUNCT
ejpam-4031	10	14	explicit	explicit	ADJ
ejpam-4031	10	15	group	group	NOUN
ejpam-4031	10	16	(	(	PUNCT
ejpam-4031	10	17	eg	eg	NOUN
ejpam-4031	10	18	)	)	PUNCT
ejpam-4031	10	19	method	method	NOUN
ejpam-4031	10	20	,	,	PUNCT
ejpam-4031	10	21	poisson	poisson	NOUN
ejpam-4031	10	22	equation	equation	NOUN
ejpam-4031	10	23	,	,	PUNCT
ejpam-4031	10	24	successive	successive	ADJ
ejpam-4031	10	25	overrelaxation	overrelaxation	NOUN
ejpam-4031	10	26	(	(	PUNCT
ejpam-4031	10	27	sor	sor	NOUN
ejpam-4031	10	28	)	)	PUNCT
ejpam-4031	10	29	,	,	PUNCT
ejpam-4031	10	30	accelerated	accelerate	VERB
ejpam-4031	10	31	over	over	ADP
ejpam-4031	10	32	-	-	PUNCT
ejpam-4031	10	33	relaxation	relaxation	NOUN
ejpam-4031	10	34	(	(	PUNCT
ejpam-4031	10	35	aor	aor	NOUN
ejpam-4031	10	36	1	1	NUM
ejpam-4031	10	37	.	.	PUNCT
ejpam-4031	11	1	introduction	introduction	NOUN
ejpam-4031	11	2	many	many	ADJ
ejpam-4031	11	3	physical	physical	ADJ
ejpam-4031	11	4	phenomena	phenomenon	NOUN
ejpam-4031	11	5	in	in	ADP
ejpam-4031	11	6	engineering	engineering	NOUN
ejpam-4031	11	7	,	,	PUNCT
ejpam-4031	11	8	fluid	fluid	ADJ
ejpam-4031	11	9	dynamics	dynamic	NOUN
ejpam-4031	11	10	,	,	PUNCT
ejpam-4031	11	11	and	and	CCONJ
ejpam-4031	11	12	static	static	ADJ
ejpam-4031	11	13	field	field	NOUN
ejpam-4031	11	14	problems	problem	NOUN
ejpam-4031	11	15	,	,	PUNCT
ejpam-4031	11	16	particularly	particularly	ADV
ejpam-4031	11	17	in	in	ADP
ejpam-4031	11	18	the	the	DET
ejpam-4031	11	19	electromagnetic	electromagnetic	ADJ
ejpam-4031	11	20	field	field	NOUN
ejpam-4031	11	21	and	and	CCONJ
ejpam-4031	11	22	the	the	DET
ejpam-4031	11	23	incompressible	incompressible	ADJ
ejpam-4031	11	24	potential	potential	ADJ
ejpam-4031	11	25	flow	flow	NOUN
ejpam-4031	11	26	field	field	NOUN
ejpam-4031	11	27	,	,	PUNCT
ejpam-4031	11	28	are	be	AUX
ejpam-4031	11	29	described	describe	VERB
ejpam-4031	11	30	by	by	ADP
ejpam-4031	11	31	partial	partial	ADJ
ejpam-4031	11	32	differential	differential	ADJ
ejpam-4031	11	33	equations	equation	NOUN
ejpam-4031	11	34	(	(	PUNCT
ejpam-4031	11	35	pdes	pde	NOUN
ejpam-4031	11	36	)	)	PUNCT
ejpam-4031	12	1	[	[	X
ejpam-4031	12	2	2	2	NUM
ejpam-4031	12	3	,	,	PUNCT
ejpam-4031	12	4	5	5	NUM
ejpam-4031	12	5	,	,	PUNCT
ejpam-4031	12	6	9	9	NUM
ejpam-4031	12	7	,	,	PUNCT
ejpam-4031	12	8	13	13	NUM
ejpam-4031	12	9	]	]	PUNCT
ejpam-4031	12	10	.	.	PUNCT
ejpam-4031	13	1	it	it	PRON
ejpam-4031	13	2	has	have	AUX
ejpam-4031	13	3	been	be	AUX
ejpam-4031	13	4	known	know	VERB
ejpam-4031	13	5	that	that	SCONJ
ejpam-4031	13	6	using	use	VERB
ejpam-4031	13	7	finite	finite	ADJ
ejpam-4031	13	8	difference	difference	NOUN
ejpam-4031	13	9	schemes	scheme	NOUN
ejpam-4031	13	10	to	to	PART
ejpam-4031	13	11	discretize	discretize	VERB
ejpam-4031	13	12	pdes	pde	NOUN
ejpam-4031	13	13	typically	typically	ADV
ejpam-4031	13	14	results	result	VERB
ejpam-4031	13	15	in	in	ADP
ejpam-4031	13	16	a	a	DET
ejpam-4031	13	17	broad	broad	ADJ
ejpam-4031	13	18	and	and	CCONJ
ejpam-4031	13	19	sparse	sparse	ADJ
ejpam-4031	13	20	system	system	NOUN
ejpam-4031	13	21	of	of	ADP
ejpam-4031	13	22	linear	linear	PROPN
ejpam-4031	13	23	equations	equation	NOUN
ejpam-4031	13	24	.	.	PUNCT
ejpam-4031	14	1	several	several	ADJ
ejpam-4031	14	2	studies	study	NOUN
ejpam-4031	14	3	were	be	AUX
ejpam-4031	14	4	proposed	propose	VERB
ejpam-4031	14	5	on	on	ADP
ejpam-4031	14	6	different	different	ADJ
ejpam-4031	14	7	iterative	iterative	NOUN
ejpam-4031	14	8	methods	method	NOUN
ejpam-4031	14	9	for	for	ADP
ejpam-4031	14	10	solving	solve	VERB
ejpam-4031	14	11	any	any	DET
ejpam-4031	14	12	linear	linear	ADJ
ejpam-4031	14	13	system	system	NOUN
ejpam-4031	14	14	of	of	ADP
ejpam-4031	14	15	equations	equation	NOUN
ejpam-4031	14	16	to	to	PART
ejpam-4031	14	17	speed	speed	VERB
ejpam-4031	14	18	up	up	ADP
ejpam-4031	14	19	the	the	DET
ejpam-4031	14	20	convergence	convergence	NOUN
ejpam-4031	14	21	rate	rate	NOUN
ejpam-4031	14	22	due	due	ADP
ejpam-4031	14	23	to	to	ADP
ejpam-4031	14	24	the	the	DET
ejpam-4031	14	25	wide	wide	ADJ
ejpam-4031	14	26	range	range	NOUN
ejpam-4031	14	27	of	of	ADP
ejpam-4031	14	28	linear	linear	PROPN
ejpam-4031	14	29	systems	system	NOUN
ejpam-4031	14	30	.	.	PUNCT
ejpam-4031	15	1	therefore	therefore	ADV
ejpam-4031	15	2	,	,	PUNCT
ejpam-4031	15	3	yousif	yousif	PROPN
ejpam-4031	15	4	and	and	CCONJ
ejpam-4031	15	5	evans	evans	PROPN
ejpam-4031	16	1	[	[	X
ejpam-4031	16	2	13	13	NUM
ejpam-4031	16	3	]	]	PUNCT
ejpam-4031	16	4	has	have	AUX
ejpam-4031	16	5	also	also	ADV
ejpam-4031	16	6	pioneered	pioneer	VERB
ejpam-4031	16	7	4	4	NUM
ejpam-4031	16	8	-	-	PUNCT
ejpam-4031	16	9	point	point	NOUN
ejpam-4031	16	10	block	block	NOUN
ejpam-4031	16	11	iterative	iterative	NOUN
ejpam-4031	16	12	methods	method	NOUN
ejpam-4031	16	13	for	for	ADP
ejpam-4031	16	14	solving	solve	VERB
ejpam-4031	16	15	large	large	ADJ
ejpam-4031	16	16	linear	linear	NOUN
ejpam-4031	16	17	structures	structure	NOUN
ejpam-4031	16	18	using	use	VERB
ejpam-4031	16	19	the	the	DET
ejpam-4031	16	20	explicit	explicit	ADJ
ejpam-4031	16	21	group	group	NOUN
ejpam-4031	16	22	(	(	PUNCT
ejpam-4031	16	23	eg	eg	NOUN
ejpam-4031	16	24	)	)	PUNCT
ejpam-4031	16	25	iterative	iterative	NOUN
ejpam-4031	16	26	method	method	NOUN
ejpam-4031	16	27	.	.	PUNCT
ejpam-4031	17	1	the	the	DET
ejpam-4031	17	2	iterative	iterative	NOUN
ejpam-4031	17	3	point	point	NOUN
ejpam-4031	17	4	method	method	NOUN
ejpam-4031	17	5	proposed	propose	VERB
ejpam-4031	17	6	by	by	ADP
ejpam-4031	17	7	hadjidimos	hadjidimos	PROPN
ejpam-4031	17	8	[	[	X
ejpam-4031	17	9	5	5	NUM
ejpam-4031	17	10	]	]	PUNCT
ejpam-4031	17	11	,	,	PUNCT
ejpam-4031	17	12	together	together	ADV
ejpam-4031	17	13	with	with	ADP
ejpam-4031	17	14	∗corresponding	∗corresponde	VERB
ejpam-4031	17	15	author	author	NOUN
ejpam-4031	17	16	.	.	PUNCT
ejpam-4031	18	1	doi	doi	NOUN
ejpam-4031	18	2	:	:	PUNCT
ejpam-4031	18	3	https://doi.org/10.29020/nybg.ejpam.v14i3.4031	https://doi.org/10.29020/nybg.ejpam.v14i3.4031	VERB
ejpam-4031	18	4	email	email	NOUN
ejpam-4031	18	5	addresses	address	NOUN
ejpam-4031	18	6	:	:	PUNCT
ejpam-4031	18	7	abdulkafi.ahmed@qu.edu.sa	abdulkafi.ahmed@qu.edu.sa	PROPN
ejpam-4031	18	8	(	(	PUNCT
ejpam-4031	18	9	a.m.	a.m.	PROPN
ejpam-4031	18	10	saeed	saeed	PROPN
ejpam-4031	18	11	)	)	PUNCT
ejpam-4031	18	12	,	,	PUNCT
ejpam-4031	18	13	njah.alharbi@qu.edu.sa	njah.alharbi@qu.edu.sa	PROPN
ejpam-4031	18	14	(	(	PUNCT
ejpam-4031	18	15	n.	n.	PROPN
ejpam-4031	18	16	al	al	PROPN
ejpam-4031	18	17	-	-	PUNCT
ejpam-4031	18	18	harbi	harbi	PROPN
ejpam-4031	18	19	)	)	PUNCT
ejpam-4031	18	20	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4031	19	1	905	905	NUM
ejpam-4031	20	1	©	©	NOUN
ejpam-4031	20	2	2021	2021	NUM
ejpam-4031	20	3	ejpam	ejpam	VERB
ejpam-4031	20	4	all	all	DET
ejpam-4031	20	5	rights	right	NOUN
ejpam-4031	20	6	reserved	reserve	VERB
ejpam-4031	20	7	.	.	PUNCT
ejpam-4031	21	1	a.m.	a.m.	PROPN
ejpam-4031	21	2	saeed	saeed	PROPN
ejpam-4031	21	3	,	,	PUNCT
ejpam-4031	21	4	n.	n.	PROPN
ejpam-4031	21	5	al	al	PROPN
ejpam-4031	21	6	-	-	PUNCT
ejpam-4031	21	7	harbi	harbi	PROPN
ejpam-4031	21	8	/	/	SYM
ejpam-4031	21	9	eur	eur	PROPN
ejpam-4031	21	10	.	.	PUNCT
ejpam-4031	22	1	j.	j.	PROPN
ejpam-4031	22	2	pure	pure	PROPN
ejpam-4031	22	3	appl	appl	PROPN
ejpam-4031	22	4	.	.	PROPN
ejpam-4031	22	5	math	math	PROPN
ejpam-4031	22	6	,	,	PUNCT
ejpam-4031	22	7	14	14	NUM
ejpam-4031	22	8	(	(	PUNCT
ejpam-4031	22	9	3	3	NUM
ejpam-4031	22	10	)	)	PUNCT
ejpam-4031	22	11	(	(	PUNCT
ejpam-4031	22	12	2021	2021	NUM
ejpam-4031	22	13	)	)	PUNCT
ejpam-4031	22	14	,	,	PUNCT
ejpam-4031	22	15	905	905	NUM
ejpam-4031	22	16	-	-	SYM
ejpam-4031	22	17	914	914	NUM
ejpam-4031	22	18	906	906	NUM
ejpam-4031	22	19	two	two	NUM
ejpam-4031	22	20	accelerated	accelerated	ADJ
ejpam-4031	22	21	parameters	parameter	NOUN
ejpam-4031	22	22	called	call	VERB
ejpam-4031	22	23	the	the	DET
ejpam-4031	22	24	accelerated	accelerated	ADJ
ejpam-4031	22	25	over	over	ADP
ejpam-4031	22	26	-	-	PUNCT
ejpam-4031	22	27	relaxation	relaxation	NOUN
ejpam-4031	22	28	(	(	PUNCT
ejpam-4031	22	29	aor	aor	NOUN
ejpam-4031	22	30	)	)	PUNCT
ejpam-4031	22	31	method	method	NOUN
ejpam-4031	22	32	,	,	PUNCT
ejpam-4031	22	33	has	have	AUX
ejpam-4031	22	34	been	be	AUX
ejpam-4031	22	35	developed	develop	VERB
ejpam-4031	22	36	.	.	PUNCT
ejpam-4031	23	1	in	in	ADP
ejpam-4031	23	2	this	this	DET
ejpam-4031	23	3	work	work	NOUN
ejpam-4031	23	4	,	,	PUNCT
ejpam-4031	23	5	the	the	DET
ejpam-4031	23	6	formulation	formulation	NOUN
ejpam-4031	23	7	of	of	ADP
ejpam-4031	23	8	efficient	efficient	ADJ
ejpam-4031	23	9	explicit	explicit	ADJ
ejpam-4031	23	10	group	group	NOUN
ejpam-4031	23	11	by	by	ADP
ejpam-4031	23	12	combining	combine	VERB
ejpam-4031	23	13	the	the	DET
ejpam-4031	23	14	eg	eg	NOUN
ejpam-4031	23	15	iterative	iterative	NOUN
ejpam-4031	23	16	method	method	NOUN
ejpam-4031	23	17	with	with	ADP
ejpam-4031	23	18	the	the	DET
ejpam-4031	23	19	aor	aor	NOUN
ejpam-4031	23	20	method	method	NOUN
ejpam-4031	23	21	will	will	AUX
ejpam-4031	23	22	be	be	AUX
ejpam-4031	23	23	presented	present	VERB
ejpam-4031	23	24	for	for	ADP
ejpam-4031	23	25	the	the	DET
ejpam-4031	23	26	elliptic	elliptic	ADJ
ejpam-4031	23	27	partial	partial	ADJ
ejpam-4031	23	28	differential	differential	NOUN
ejpam-4031	23	29	equations	equation	NOUN
ejpam-4031	23	30	solution	solution	NOUN
ejpam-4031	23	31	.	.	PUNCT
ejpam-4031	24	1	the	the	DET
ejpam-4031	24	2	new	new	ADJ
ejpam-4031	24	3	applications	application	NOUN
ejpam-4031	24	4	of	of	ADP
ejpam-4031	24	5	the	the	DET
ejpam-4031	24	6	eg	eg	PROPN
ejpam-4031	24	7	aor	aor	PROPN
ejpam-4031	24	8	method	method	NOUN
ejpam-4031	24	9	will	will	AUX
ejpam-4031	24	10	be	be	AUX
ejpam-4031	24	11	conducted	conduct	VERB
ejpam-4031	24	12	by	by	ADP
ejpam-4031	24	13	matlab	matlab	PROPN
ejpam-4031	24	14	software	software	NOUN
ejpam-4031	24	15	.	.	PUNCT
ejpam-4031	25	1	we	we	PRON
ejpam-4031	25	2	shall	shall	AUX
ejpam-4031	25	3	begin	begin	VERB
ejpam-4031	25	4	with	with	ADP
ejpam-4031	25	5	the	the	DET
ejpam-4031	25	6	presentation	presentation	NOUN
ejpam-4031	25	7	of	of	ADP
ejpam-4031	25	8	several	several	ADJ
ejpam-4031	25	9	preliminary	preliminary	ADJ
ejpam-4031	25	10	relevant	relevant	ADJ
ejpam-4031	25	11	theorems	theorem	NOUN
ejpam-4031	25	12	and	and	CCONJ
ejpam-4031	25	13	lemmas	lemma	NOUN
ejpam-4031	25	14	,	,	PUNCT
ejpam-4031	25	15	which	which	PRON
ejpam-4031	25	16	are	be	AUX
ejpam-4031	25	17	needed	need	VERB
ejpam-4031	25	18	for	for	ADP
ejpam-4031	25	19	the	the	DET
ejpam-4031	25	20	proof	proof	NOUN
ejpam-4031	25	21	of	of	ADP
ejpam-4031	25	22	the	the	DET
ejpam-4031	25	23	convergence	convergence	NOUN
ejpam-4031	25	24	properties	property	NOUN
ejpam-4031	25	25	of	of	ADP
ejpam-4031	25	26	the	the	DET
ejpam-4031	25	27	solution	solution	NOUN
ejpam-4031	25	28	of	of	ADP
ejpam-4031	25	29	the	the	DET
ejpam-4031	25	30	mentioned	mention	VERB
ejpam-4031	25	31	iterative	iterative	NOUN
ejpam-4031	25	32	methods	method	NOUN
ejpam-4031	25	33	.	.	PUNCT
ejpam-4031	26	1	the	the	DET
ejpam-4031	26	2	spectral	spectral	ADJ
ejpam-4031	26	3	radius	radius	NOUN
ejpam-4031	26	4	of	of	ADP
ejpam-4031	26	5	a	a	DET
ejpam-4031	26	6	matrix	matrix	NOUN
ejpam-4031	26	7	is	be	AUX
ejpam-4031	26	8	denoted	denote	VERB
ejpam-4031	26	9	byρ	byρ	NOUN
ejpam-4031	26	10	(	(	PUNCT
ejpam-4031	26	11	.	.	PUNCT
ejpam-4031	26	12	)	)	PUNCT
ejpam-4031	26	13	,	,	PUNCT
ejpam-4031	26	14	which	which	PRON
ejpam-4031	26	15	is	be	AUX
ejpam-4031	26	16	defined	define	VERB
ejpam-4031	26	17	as	as	ADP
ejpam-4031	26	18	the	the	DET
ejpam-4031	26	19	largest	large	ADJ
ejpam-4031	26	20	of	of	ADP
ejpam-4031	26	21	the	the	DET
ejpam-4031	26	22	moduli	modulus	NOUN
ejpam-4031	26	23	of	of	ADP
ejpam-4031	26	24	the	the	DET
ejpam-4031	26	25	eigenvalues	eigenvalue	NOUN
ejpam-4031	26	26	of	of	ADP
ejpam-4031	26	27	the	the	DET
ejpam-4031	26	28	iteration	iteration	NOUN
ejpam-4031	26	29	matrix	matrix	NOUN
ejpam-4031	26	30	,	,	PUNCT
ejpam-4031	26	31	which	which	PRON
ejpam-4031	26	32	play	play	VERB
ejpam-4031	26	33	an	an	DET
ejpam-4031	26	34	important	important	ADJ
ejpam-4031	26	35	role	role	NOUN
ejpam-4031	26	36	to	to	PART
ejpam-4031	26	37	study	study	VERB
ejpam-4031	26	38	these	these	DET
ejpam-4031	26	39	convergence	convergence	NOUN
ejpam-4031	26	40	properties	property	NOUN
ejpam-4031	26	41	.	.	PUNCT
ejpam-4031	27	1	theorem	theorem	NOUN
ejpam-4031	27	2	1	1	NUM
ejpam-4031	27	3	.	.	PUNCT
ejpam-4031	28	1	[	[	X
ejpam-4031	28	2	11	11	NUM
ejpam-4031	28	3	]	]	X
ejpam-4031	28	4	if	if	SCONJ
ejpam-4031	28	5	a	a	DET
ejpam-4031	28	6	=	=	X
ejpam-4031	28	7	m	m	PRON
ejpam-4031	28	8	−n	−n	ADJ
ejpam-4031	28	9	is	be	AUX
ejpam-4031	28	10	a	a	DET
ejpam-4031	28	11	regular	regular	ADJ
ejpam-4031	28	12	splitting	splitting	NOUN
ejpam-4031	28	13	of	of	ADP
ejpam-4031	28	14	the	the	DET
ejpam-4031	28	15	matrix	matrix	NOUN
ejpam-4031	28	16	a	a	PRON
ejpam-4031	28	17	and	and	CCONJ
ejpam-4031	28	18	a−1	a−1	PROPN
ejpam-4031	28	19	≥	≥	NUM
ejpam-4031	28	20	0	0	NUM
ejpam-4031	28	21	,	,	PUNCT
ejpam-4031	28	22	then	then	ADV
ejpam-4031	28	23	ρ(m−1n	ρ(m−1n	NUM
ejpam-4031	28	24	)	)	PUNCT
ejpam-4031	28	25	=	=	SYM
ejpam-4031	28	26	ρ(a−1n	ρ(a−1n	NOUN
ejpam-4031	28	27	)	)	PUNCT
ejpam-4031	28	28	1	1	NUM
ejpam-4031	29	1	+	+	NUM
ejpam-4031	29	2	ρ(a−1n	ρ(a−1n	NOUN
ejpam-4031	29	3	)	)	PUNCT
ejpam-4031	30	1	<	<	X
ejpam-4031	30	2	1	1	X
ejpam-4031	30	3	.	.	PUNCT
ejpam-4031	30	4	thus	thus	ADV
ejpam-4031	30	5	,	,	PUNCT
ejpam-4031	30	6	an	an	DET
ejpam-4031	30	7	iterative	iterative	NOUN
ejpam-4031	30	8	method	method	NOUN
ejpam-4031	30	9	with	with	ADP
ejpam-4031	30	10	coefficient	coefficient	NOUN
ejpam-4031	30	11	matrix	matrix	NOUN
ejpam-4031	30	12	m−1n	m−1n	NOUN
ejpam-4031	30	13	is	be	AUX
ejpam-4031	30	14	convergent	convergent	ADJ
ejpam-4031	30	15	for	for	ADP
ejpam-4031	30	16	any	any	DET
ejpam-4031	30	17	initial	initial	ADJ
ejpam-4031	30	18	vector	vector	NOUN
ejpam-4031	30	19	x(0	x(0	PROPN
ejpam-4031	30	20	)	)	PUNCT
ejpam-4031	30	21	.	.	PUNCT
ejpam-4031	31	1	an	an	DET
ejpam-4031	31	2	accurate	accurate	ADJ
ejpam-4031	31	3	analysis	analysis	NOUN
ejpam-4031	31	4	of	of	ADP
ejpam-4031	31	5	convergence	convergence	NOUN
ejpam-4031	31	6	properties	property	NOUN
ejpam-4031	31	7	of	of	ADP
ejpam-4031	31	8	the	the	DET
ejpam-4031	31	9	sor	sor	NOUN
ejpam-4031	31	10	method	method	NOUN
ejpam-4031	31	11	is	be	AUX
ejpam-4031	31	12	possible	possible	ADJ
ejpam-4031	31	13	if	if	SCONJ
ejpam-4031	31	14	the	the	DET
ejpam-4031	31	15	matrix	matrix	NOUN
ejpam-4031	31	16	a	a	PRON
ejpam-4031	31	17	is	be	AUX
ejpam-4031	31	18	consistently	consistently	ADV
ejpam-4031	31	19	ordered	order	VERB
ejpam-4031	31	20	in	in	ADP
ejpam-4031	31	21	the	the	DET
ejpam-4031	31	22	following	follow	VERB
ejpam-4031	31	23	sense	sense	NOUN
ejpam-4031	31	24	(	(	PUNCT
ejpam-4031	31	25	see	see	VERB
ejpam-4031	31	26	[	[	X
ejpam-4031	31	27	10	10	NUM
ejpam-4031	31	28	]	]	NUM
ejpam-4031	31	29	)	)	PUNCT
ejpam-4031	31	30	.	.	PUNCT
ejpam-4031	32	1	definition	definition	NOUN
ejpam-4031	32	2	1	1	NUM
ejpam-4031	32	3	.	.	PUNCT
ejpam-4031	33	1	a	a	DET
ejpam-4031	33	2	matrix	matrix	NOUN
ejpam-4031	33	3	a	a	PRON
ejpam-4031	33	4	is	be	AUX
ejpam-4031	33	5	a	a	DET
ejpam-4031	33	6	generalized	generalized	ADJ
ejpam-4031	33	7	(	(	PUNCT
ejpam-4031	33	8	q	q	ADJ
ejpam-4031	33	9	,	,	PUNCT
ejpam-4031	33	10	r)-consistently	r)-consistently	ADV
ejpam-4031	33	11	ordered	order	VERB
ejpam-4031	33	12	matrix	matrix	NOUN
ejpam-4031	33	13	(	(	PUNCT
ejpam-4031	33	14	a	a	DET
ejpam-4031	33	15	gco(q	gco(q	PROPN
ejpam-4031	33	16	,	,	PUNCT
ejpam-4031	33	17	r)matrix	r)matrix	NOUN
ejpam-4031	33	18	)	)	PUNCT
ejpam-4031	33	19	if	if	SCONJ
ejpam-4031	33	20	∆	∆	PROPN
ejpam-4031	33	21	=	=	SYM
ejpam-4031	33	22	det(αqe	det(αqe	X
ejpam-4031	33	23	+	+	CCONJ
ejpam-4031	33	24	α−rf	α−rf	NOUN
ejpam-4031	33	25	−	−	PROPN
ejpam-4031	33	26	kd	kd	PROPN
ejpam-4031	33	27	)	)	PUNCT
ejpam-4031	33	28	is	be	AUX
ejpam-4031	33	29	independent	independent	ADJ
ejpam-4031	33	30	of	of	ADP
ejpam-4031	33	31	α	α	NOUN
ejpam-4031	33	32	for	for	ADP
ejpam-4031	33	33	all	all	DET
ejpam-4031	33	34	α	α	NOUN
ejpam-4031	33	35	6=	6=	ADP
ejpam-4031	33	36	0	0	NUM
ejpam-4031	33	37	and	and	CCONJ
ejpam-4031	33	38	for	for	ADP
ejpam-4031	33	39	all	all	PRON
ejpam-4031	34	1	k.	k.	PROPN
ejpam-4031	34	2	here	here	ADV
ejpam-4031	34	3	,	,	PUNCT
ejpam-4031	34	4	d	d	NOUN
ejpam-4031	34	5	=	=	PUNCT
ejpam-4031	34	6	diag	diag	PROPN
ejpam-4031	34	7	a	a	NOUN
ejpam-4031	34	8	and	and	CCONJ
ejpam-4031	34	9	e	e	PROPN
ejpam-4031	34	10	and	and	CCONJ
ejpam-4031	34	11	f	f	PROPN
ejpam-4031	34	12	are	be	AUX
ejpam-4031	34	13	strictly	strictly	ADV
ejpam-4031	34	14	lower	low	ADJ
ejpam-4031	34	15	and	and	CCONJ
ejpam-4031	34	16	strictly	strictly	ADV
ejpam-4031	34	17	upper	upper	ADJ
ejpam-4031	34	18	triangular	triangular	NOUN
ejpam-4031	34	19	matrices	matrix	NOUN
ejpam-4031	34	20	,	,	PUNCT
ejpam-4031	34	21	respectively	respectively	ADV
ejpam-4031	34	22	,	,	PUNCT
ejpam-4031	34	23	such	such	ADJ
ejpam-4031	34	24	that	that	SCONJ
ejpam-4031	34	25	:	:	PUNCT
ejpam-4031	34	26	a	a	PRON
ejpam-4031	34	27	=	=	SYM
ejpam-4031	35	1	d	d	NOUN
ejpam-4031	35	2	−	−	PROPN
ejpam-4031	35	3	e	e	NOUN
ejpam-4031	35	4	−	−	PROPN
ejpam-4031	35	5	f	f	PROPN
ejpam-4031	35	6	.	.	PUNCT
ejpam-4031	36	1	definition	definition	NOUN
ejpam-4031	36	2	2	2	NUM
ejpam-4031	36	3	.	.	PUNCT
ejpam-4031	37	1	[	[	X
ejpam-4031	37	2	10	10	NUM
ejpam-4031	37	3	]	]	X
ejpam-4031	37	4	a	a	DET
ejpam-4031	37	5	matrix	matrix	NOUN
ejpam-4031	37	6	a	a	PRON
ejpam-4031	37	7	of	of	ADP
ejpam-4031	37	8	the	the	DET
ejpam-4031	37	9	form	form	NOUN
ejpam-4031	37	10	(	(	PUNCT
ejpam-4031	37	11	3.2	3.2	NUM
ejpam-4031	37	12	)	)	PUNCT
ejpam-4031	37	13	is	be	AUX
ejpam-4031	37	14	said	say	VERB
ejpam-4031	37	15	to	to	PART
ejpam-4031	37	16	be	be	AUX
ejpam-4031	37	17	generally	generally	ADV
ejpam-4031	37	18	consistently	consistently	ADV
ejpam-4031	37	19	ordered	order	VERB
ejpam-4031	37	20	(	(	PUNCT
ejpam-4031	37	21	π	π	PROPN
ejpam-4031	37	22	,	,	PUNCT
ejpam-4031	37	23	q	q	NOUN
ejpam-4031	37	24	,	,	PUNCT
ejpam-4031	37	25	r	r	NOUN
ejpam-4031	37	26	)	)	PUNCT
ejpam-4031	37	27	or	or	CCONJ
ejpam-4031	37	28	simply	simply	ADV
ejpam-4031	37	29	gco	gco	PROPN
ejpam-4031	37	30	(	(	PUNCT
ejpam-4031	37	31	π	π	PROPN
ejpam-4031	37	32	,	,	PUNCT
ejpam-4031	37	33	q	q	NOUN
ejpam-4031	37	34	,	,	PUNCT
ejpam-4031	37	35	r	r	NOUN
ejpam-4031	37	36	)	)	PUNCT
ejpam-4031	37	37	,	,	PUNCT
ejpam-4031	37	38	where	where	SCONJ
ejpam-4031	37	39	q	q	NOUN
ejpam-4031	37	40	and	and	CCONJ
ejpam-4031	37	41	r	r	NOUN
ejpam-4031	37	42	are	be	AUX
ejpam-4031	37	43	positive	positive	ADJ
ejpam-4031	37	44	integers	integer	NOUN
ejpam-4031	37	45	,	,	PUNCT
ejpam-4031	37	46	if	if	SCONJ
ejpam-4031	37	47	for	for	ADP
ejpam-4031	37	48	the	the	DET
ejpam-4031	37	49	partitioning	partition	VERB
ejpam-4031	37	50	π	π	PROPN
ejpam-4031	37	51	of	of	ADP
ejpam-4031	37	52	a	a	DET
ejpam-4031	37	53	the	the	DET
ejpam-4031	37	54	diagonal	diagonal	ADJ
ejpam-4031	37	55	submatrices	submatrice	NOUN
ejpam-4031	37	56	a(ii	a(ii	VERB
ejpam-4031	37	57	)	)	PUNCT
ejpam-4031	37	58	,	,	PUNCT
ejpam-4031	37	59	i	i	NOUN
ejpam-4031	37	60	=	=	NOUN
ejpam-4031	37	61	1	1	NUM
ejpam-4031	37	62	,	,	PUNCT
ejpam-4031	37	63	2	2	NUM
ejpam-4031	37	64	,	,	PUNCT
ejpam-4031	37	65	..	..	PUNCT
ejpam-4031	37	66	,	,	PUNCT
ejpam-4031	37	67	p(≥	p(≥	ADJ
ejpam-4031	37	68	2	2	NUM
ejpam-4031	37	69	)	)	PUNCT
ejpam-4031	37	70	,	,	PUNCT
ejpam-4031	37	71	are	be	AUX
ejpam-4031	37	72	non	non	ADJ
ejpam-4031	37	73	-	-	ADJ
ejpam-4031	37	74	singular	singular	ADJ
ejpam-4031	37	75	,	,	PUNCT
ejpam-4031	37	76	and	and	CCONJ
ejpam-4031	37	77	the	the	DET
ejpam-4031	37	78	eigenvalues	eigenvalue	NOUN
ejpam-4031	37	79	of	of	ADP
ejpam-4031	37	80	bj(α	bj(α	NOUN
ejpam-4031	37	81	)	)	PUNCT
ejpam-4031	38	1	=	=	SYM
ejpam-4031	38	2	αrl+	αrl+	PROPN
ejpam-4031	38	3	α−qu	α−qu	PROPN
ejpam-4031	38	4	(	(	PUNCT
ejpam-4031	38	5	1	1	NUM
ejpam-4031	38	6	)	)	PUNCT
ejpam-4031	38	7	are	be	AUX
ejpam-4031	38	8	indpendent	indpendent	ADJ
ejpam-4031	38	9	of	of	ADP
ejpam-4031	38	10	α	α	PROPN
ejpam-4031	38	11	,	,	PUNCT
ejpam-4031	38	12	for	for	ADP
ejpam-4031	38	13	all	all	DET
ejpam-4031	38	14	α	α	NOUN
ejpam-4031	38	15	6=	6=	ADP
ejpam-4031	38	16	0	0	NUM
ejpam-4031	38	17	,	,	PUNCT
ejpam-4031	38	18	where	where	SCONJ
ejpam-4031	38	19	l	l	NOUN
ejpam-4031	38	20	and	and	CCONJ
ejpam-4031	38	21	u	u	NOUN
ejpam-4031	38	22	are	be	AUX
ejpam-4031	38	23	strict	strict	ADJ
ejpam-4031	38	24	blocks	block	NOUN
ejpam-4031	38	25	lower	low	ADJ
ejpam-4031	38	26	and	and	CCONJ
ejpam-4031	38	27	upper	upper	ADJ
ejpam-4031	38	28	triangular	triangular	NOUN
ejpam-4031	38	29	parts	part	NOUN
ejpam-4031	38	30	of	of	ADP
ejpam-4031	38	31	a	a	PRON
ejpam-4031	38	32	,	,	PUNCT
ejpam-4031	38	33	respectively	respectively	ADV
ejpam-4031	38	34	.	.	PUNCT
ejpam-4031	39	1	for	for	ADP
ejpam-4031	39	2	any	any	DET
ejpam-4031	39	3	matrix	matrix	NOUN
ejpam-4031	39	4	c	c	NOUN
ejpam-4031	39	5	=	=	PUNCT
ejpam-4031	39	6	(	(	PUNCT
ejpam-4031	39	7	cij)in	cij)in	PROPN
ejpam-4031	39	8	6⊂ni	6⊂ni	PROPN
ejpam-4031	39	9	,	,	PUNCT
ejpam-4031	39	10	ni	ni	PROPN
ejpam-4031	39	11	π	π	PROPN
ejpam-4031	39	12	,	,	PUNCT
ejpam-4031	39	13	p	p	X
ejpam-4031	39	14	,	,	PUNCT
ejpam-4031	39	15	let	let	VERB
ejpam-4031	39	16	|c|	|c|	PROPN
ejpam-4031	39	17	denote	denote	VERB
ejpam-4031	39	18	the	the	DET
ejpam-4031	39	19	block	block	NOUN
ejpam-4031	39	20	matrix	matrix	NOUN
ejpam-4031	39	21	in	in	ADP
ejpam-4031	39	22	6⊂ni	6⊂ni	PROPN
ejpam-4031	39	23	,	,	PUNCT
ejpam-4031	39	24	ni	ni	PROPN
ejpam-4031	39	25	π	π	PROPN
ejpam-4031	39	26	,	,	PUNCT
ejpam-4031	39	27	p	p	NOUN
ejpam-4031	39	28	with	with	ADP
ejpam-4031	39	29	entries∣∣∣c(ij	entries∣∣∣c(ij	NOUN
ejpam-4031	39	30	)	)	PUNCT
ejpam-4031	39	31	∣∣∣.	∣∣∣.	NOUN
ejpam-4031	39	32	given	give	VERB
ejpam-4031	39	33	the	the	DET
ejpam-4031	39	34	matrix	matrix	NOUN
ejpam-4031	39	35	bj	bj	NOUN
ejpam-4031	39	36	=	=	SYM
ejpam-4031	39	37	l+	l+	NOUN
ejpam-4031	39	38	u	u	NOUN
ejpam-4031	39	39	,	,	PUNCT
ejpam-4031	39	40	(	(	PUNCT
ejpam-4031	39	41	2	2	NUM
ejpam-4031	39	42	)	)	PUNCT
ejpam-4031	39	43	then	then	ADV
ejpam-4031	39	44	µ̄	µ̄	PROPN
ejpam-4031	39	45	denotes	denote	VERB
ejpam-4031	39	46	the	the	DET
ejpam-4031	39	47	spectral	spectral	ADJ
ejpam-4031	39	48	radius	radius	NOUN
ejpam-4031	39	49	of	of	ADP
ejpam-4031	39	50	the	the	DET
ejpam-4031	39	51	matrix	matrix	NOUN
ejpam-4031	40	1	|bj	|bj	X
ejpam-4031	41	1	|	|	ADV
ejpam-4031	42	1	=	=	SYM
ejpam-4031	43	1	|l+	|l+	PROPN
ejpam-4031	44	1	u	u	NOUN
ejpam-4031	45	1	|	|	ADV
ejpam-4031	45	2	,	,	PUNCT
ejpam-4031	45	3	(	(	PUNCT
ejpam-4031	45	4	3	3	X
ejpam-4031	45	5	)	)	PUNCT
ejpam-4031	45	6	such	such	ADJ
ejpam-4031	45	7	that	that	SCONJ
ejpam-4031	45	8	µ	µ	X
ejpam-4031	45	9	:	:	PUNCT
ejpam-4031	45	10	=	=	PUNCT
ejpam-4031	45	11	ρ(|bj	ρ(|bj	PROPN
ejpam-4031	45	12	|	|	ADV
ejpam-4031	45	13	)	)	PUNCT
ejpam-4031	45	14	.	.	PUNCT
ejpam-4031	46	1	lemma	lemma	PROPN
ejpam-4031	46	2	1	1	NUM
ejpam-4031	46	3	.	.	PUNCT
ejpam-4031	47	1	[	[	X
ejpam-4031	47	2	10	10	NUM
ejpam-4031	47	3	]	]	PUNCT
ejpam-4031	47	4	let	let	VERB
ejpam-4031	47	5	|bj	|bj	PRON
ejpam-4031	47	6	|	|	ADV
ejpam-4031	47	7	of	of	ADP
ejpam-4031	47	8	(	(	PUNCT
ejpam-4031	47	9	4.3	4.3	NUM
ejpam-4031	47	10	)	)	PUNCT
ejpam-4031	47	11	be	be	AUX
ejpam-4031	47	12	a	a	DET
ejpam-4031	47	13	gco	gco	NOUN
ejpam-4031	47	14	(	(	PUNCT
ejpam-4031	47	15	q	q	ADJ
ejpam-4031	47	16	,	,	PUNCT
ejpam-4031	47	17	r)-matrix	r)-matrix	PUNCT
ejpam-4031	47	18	and	and	CCONJ
ejpam-4031	47	19	p	p	NOUN
ejpam-4031	47	20	=	=	PUNCT
ejpam-4031	47	21	q	q	PROPN
ejpam-4031	48	1	+	+	X
ejpam-4031	48	2	r.	r.	NOUN
ejpam-4031	48	3	then	then	ADV
ejpam-4031	48	4	for	for	ADP
ejpam-4031	48	5	any	any	DET
ejpam-4031	48	6	real	real	ADJ
ejpam-4031	48	7	nonnegative	nonnegative	ADJ
ejpam-4031	48	8	constant	constant	ADJ
ejpam-4031	48	9	α	α	NOUN
ejpam-4031	48	10	,	,	PUNCT
ejpam-4031	48	11	β	β	NOUN
ejpam-4031	48	12	,	,	PUNCT
ejpam-4031	48	13	and	and	CCONJ
ejpam-4031	48	14	γ	γ	X
ejpam-4031	48	15	with	with	ADP
ejpam-4031	48	16	γ	γ	PROPN
ejpam-4031	48	17	6=	6=	ADP
ejpam-4031	48	18	0	0	SYM
ejpam-4031	48	19	satisfying	satisfying	NOUN
ejpam-4031	48	20	:	:	PUNCT
ejpam-4031	48	21	αrβqµ	αrβqµ	NOUN
ejpam-4031	48	22	≺	≺	NOUN
ejpam-4031	48	23	γp	γp	PROPN
ejpam-4031	48	24	,	,	PUNCT
ejpam-4031	48	25	the	the	DET
ejpam-4031	48	26	matrix	matrix	NOUN
ejpam-4031	48	27	a′′	a′′	NOUN
ejpam-4031	48	28	:	:	PUNCT
ejpam-4031	48	29	=	=	SYM
ejpam-4031	48	30	γi	γi	INTJ
ejpam-4031	48	31	−	−	PROPN
ejpam-4031	48	32	α	α	PROPN
ejpam-4031	48	33	|l|	|l|	NOUN
ejpam-4031	48	34	−	−	NOUN
ejpam-4031	48	35	β	β	NOUN
ejpam-4031	48	36	|u	|u	ADJ
ejpam-4031	48	37	|	|	ADV
ejpam-4031	48	38	is	be	AUX
ejpam-4031	48	39	such	such	ADJ
ejpam-4031	48	40	that	that	SCONJ
ejpam-4031	48	41	an−1	an−1	ADJ
ejpam-4031	48	42	≥	≥	NOUN
ejpam-4031	48	43	0	0	NUM
ejpam-4031	48	44	.	.	PUNCT
ejpam-4031	48	45	a.m.	a.m.	PROPN
ejpam-4031	49	1	saeed	saeed	PROPN
ejpam-4031	49	2	,	,	PUNCT
ejpam-4031	49	3	n.	n.	PROPN
ejpam-4031	49	4	al	al	PROPN
ejpam-4031	49	5	-	-	PUNCT
ejpam-4031	49	6	harbi	harbi	PROPN
ejpam-4031	49	7	/	/	SYM
ejpam-4031	49	8	eur	eur	PROPN
ejpam-4031	49	9	.	.	PUNCT
ejpam-4031	50	1	j.	j.	PROPN
ejpam-4031	50	2	pure	pure	PROPN
ejpam-4031	50	3	appl	appl	PROPN
ejpam-4031	50	4	.	.	PROPN
ejpam-4031	50	5	math	math	PROPN
ejpam-4031	50	6	,	,	PUNCT
ejpam-4031	50	7	14	14	NUM
ejpam-4031	50	8	(	(	PUNCT
ejpam-4031	50	9	3	3	NUM
ejpam-4031	50	10	)	)	PUNCT
ejpam-4031	50	11	(	(	PUNCT
ejpam-4031	50	12	2021	2021	NUM
ejpam-4031	50	13	)	)	PUNCT
ejpam-4031	50	14	,	,	PUNCT
ejpam-4031	50	15	905	905	NUM
ejpam-4031	50	16	-	-	SYM
ejpam-4031	50	17	914	914	NUM
ejpam-4031	50	18	907	907	NUM
ejpam-4031	50	19	lemma	lemma	PROPN
ejpam-4031	50	20	2	2	NUM
ejpam-4031	50	21	.	.	PUNCT
ejpam-4031	51	1	[	[	X
ejpam-4031	51	2	8	8	NUM
ejpam-4031	51	3	]	]	PUNCT
ejpam-4031	51	4	suppose	suppose	VERB
ejpam-4031	51	5	a	a	DET
ejpam-4031	51	6	=	=	X
ejpam-4031	51	7	i	i	PRON
ejpam-4031	51	8	–	–	PUNCT
ejpam-4031	51	9	l	l	NOUN
ejpam-4031	51	10	–	–	PUNCT
ejpam-4031	51	11	u	u	NOUN
ejpam-4031	51	12	is	be	AUX
ejpam-4031	51	13	a	a	DET
ejpam-4031	51	14	gco(π	gco(π	PROPN
ejpam-4031	51	15	,	,	PUNCT
ejpam-4031	51	16	q	q	NOUN
ejpam-4031	51	17	,	,	PUNCT
ejpam-4031	51	18	r	r	NOUN
ejpam-4031	51	19	)	)	PUNCT
ejpam-4031	51	20	,	,	PUNCT
ejpam-4031	51	21	where	where	SCONJ
ejpam-4031	51	22	–	–	PUNCT
ejpam-4031	51	23	l	l	NOUN
ejpam-4031	51	24	and	and	CCONJ
ejpam-4031	51	25	–	–	PUNCT
ejpam-4031	51	26	u	u	NOUN
ejpam-4031	51	27	are	be	AUX
ejpam-4031	51	28	strictly	strictly	ADV
ejpam-4031	51	29	lower	low	ADJ
ejpam-4031	51	30	and	and	CCONJ
ejpam-4031	51	31	upper	upper	ADJ
ejpam-4031	51	32	triangular	triangular	NOUN
ejpam-4031	51	33	matrices	matrix	NOUN
ejpam-4031	51	34	,	,	PUNCT
ejpam-4031	51	35	respectively	respectively	ADV
ejpam-4031	51	36	.	.	PUNCT
ejpam-4031	52	1	let	let	VERB
ejpam-4031	52	2	b`w	b`w	PRON
ejpam-4031	52	3	be	be	AUX
ejpam-4031	52	4	the	the	DET
ejpam-4031	52	5	block	block	NOUN
ejpam-4031	52	6	iteration	iteration	NOUN
ejpam-4031	52	7	matrix	matrix	NOUN
ejpam-4031	52	8	of	of	ADP
ejpam-4031	52	9	the	the	DET
ejpam-4031	52	10	sor	sor	NOUN
ejpam-4031	52	11	method	method	NOUN
ejpam-4031	52	12	given	give	VERB
ejpam-4031	52	13	by	by	ADP
ejpam-4031	52	14	(	(	PUNCT
ejpam-4031	52	15	2.2	2.2	NUM
ejpam-4031	52	16	)	)	PUNCT
ejpam-4031	52	17	.	.	PUNCT
ejpam-4031	53	1	if	if	SCONJ
ejpam-4031	53	2	0	0	NUM
ejpam-4031	53	3	<	<	X
ejpam-4031	53	4	w	w	X
ejpam-4031	53	5	<	<	X
ejpam-4031	53	6	2	2	NUM
ejpam-4031	53	7	,	,	PUNCT
ejpam-4031	53	8	then	then	ADV
ejpam-4031	53	9	the	the	DET
ejpam-4031	53	10	block	block	NOUN
ejpam-4031	53	11	sor	sor	NOUN
ejpam-4031	53	12	method	method	NOUN
ejpam-4031	53	13	converges	converge	NOUN
ejpam-4031	53	14	,	,	PUNCT
ejpam-4031	53	15	i.e.	i.e.	X
ejpam-4031	53	16	ρ(b`w	ρ(b`w	NOUN
ejpam-4031	53	17	)	)	PUNCT
ejpam-4031	53	18	<	<	X
ejpam-4031	53	19	1	1	X
ejpam-4031	53	20	.	.	PUNCT
ejpam-4031	53	21	theorem	theorem	NOUN
ejpam-4031	53	22	2	2	NUM
ejpam-4031	53	23	.	.	PUNCT
ejpam-4031	54	1	[	[	X
ejpam-4031	54	2	8	8	NUM
ejpam-4031	54	3	]	]	PUNCT
ejpam-4031	54	4	suppose	suppose	VERB
ejpam-4031	54	5	a	a	DET
ejpam-4031	54	6	=	=	X
ejpam-4031	54	7	i	i	PRON
ejpam-4031	54	8	–	–	PUNCT
ejpam-4031	54	9	l	l	NOUN
ejpam-4031	54	10	–	–	PUNCT
ejpam-4031	54	11	u	u	NOUN
ejpam-4031	54	12	is	be	AUX
ejpam-4031	54	13	a	a	DET
ejpam-4031	54	14	gco(π	gco(π	PROPN
ejpam-4031	54	15	,	,	PUNCT
ejpam-4031	54	16	q	q	NOUN
ejpam-4031	54	17	,	,	PUNCT
ejpam-4031	54	18	r	r	NOUN
ejpam-4031	54	19	)	)	PUNCT
ejpam-4031	54	20	,	,	PUNCT
ejpam-4031	54	21	where	where	SCONJ
ejpam-4031	54	22	–	–	PUNCT
ejpam-4031	54	23	l	l	NOUN
ejpam-4031	54	24	and	and	CCONJ
ejpam-4031	54	25	–	–	PUNCT
ejpam-4031	54	26	u	u	NOUN
ejpam-4031	54	27	are	be	AUX
ejpam-4031	54	28	strictly	strictly	ADV
ejpam-4031	54	29	lower	low	ADJ
ejpam-4031	54	30	and	and	CCONJ
ejpam-4031	54	31	upper	upper	ADJ
ejpam-4031	54	32	triangular	triangular	NOUN
ejpam-4031	54	33	matrices	matrix	NOUN
ejpam-4031	54	34	,	,	PUNCT
ejpam-4031	54	35	respectively	respectively	ADV
ejpam-4031	54	36	.	.	PUNCT
ejpam-4031	55	1	let	let	VERB
ejpam-4031	55	2	b`w	b`w	PRON
ejpam-4031	55	3	and	and	CCONJ
ejpam-4031	55	4	b̃`w	b̃`w	NOUN
ejpam-4031	55	5	be	be	AUX
ejpam-4031	55	6	the	the	DET
ejpam-4031	55	7	iteration	iteration	NOUN
ejpam-4031	55	8	matrices	matrix	NOUN
ejpam-4031	55	9	of	of	ADP
ejpam-4031	55	10	the	the	DET
ejpam-4031	55	11	sor	sor	NOUN
ejpam-4031	55	12	method	method	NOUN
ejpam-4031	55	13	given	give	VERB
ejpam-4031	55	14	by	by	ADP
ejpam-4031	55	15	(	(	PUNCT
ejpam-4031	55	16	2.2	2.2	NUM
ejpam-4031	55	17	)	)	PUNCT
ejpam-4031	55	18	and	and	CCONJ
ejpam-4031	55	19	(	(	PUNCT
ejpam-4031	55	20	2.6	2.6	NUM
ejpam-4031	55	21	)	)	PUNCT
ejpam-4031	55	22	respectively	respectively	ADV
ejpam-4031	55	23	.	.	PUNCT
ejpam-4031	56	1	if	if	SCONJ
ejpam-4031	56	2	0	0	NUM
ejpam-4031	56	3	<	<	X
ejpam-4031	56	4	ω	ω	X
ejpam-4031	56	5	<	<	X
ejpam-4031	56	6	2	2	NUM
ejpam-4031	56	7	,	,	PUNCT
ejpam-4031	56	8	then	then	ADV
ejpam-4031	56	9	(	(	PUNCT
ejpam-4031	56	10	i	i	NOUN
ejpam-4031	56	11	)	)	PUNCT
ejpam-4031	56	12	ρ(b̃`w	ρ(b̃`w	NOUN
ejpam-4031	56	13	)	)	PUNCT
ejpam-4031	56	14	<	<	X
ejpam-4031	56	15	ρ(b`w	ρ(b`w	NOUN
ejpam-4031	56	16	)	)	PUNCT
ejpam-4031	56	17	if	if	SCONJ
ejpam-4031	56	18	ρ(b`w	ρ(b`w	NOUN
ejpam-4031	56	19	)	)	PUNCT
ejpam-4031	56	20	<	<	X
ejpam-4031	56	21	1	1	NUM
ejpam-4031	56	22	(	(	PUNCT
ejpam-4031	56	23	ii	ii	NOUN
ejpam-4031	56	24	)	)	PUNCT
ejpam-4031	56	25	ρ(b̃`w	ρ(b̃`w	NOUN
ejpam-4031	56	26	)	)	PUNCT
ejpam-4031	56	27	=	=	SYM
ejpam-4031	56	28	ρ(b`w	ρ(b`w	X
ejpam-4031	56	29	)	)	PUNCT
ejpam-4031	56	30	if	if	SCONJ
ejpam-4031	56	31	ρ(b`w	ρ(b`w	NOUN
ejpam-4031	56	32	)	)	PUNCT
ejpam-4031	56	33	=	=	SYM
ejpam-4031	56	34	1	1	NUM
ejpam-4031	56	35	(	(	PUNCT
ejpam-4031	56	36	iii	iii	NOUN
ejpam-4031	56	37	)	)	PUNCT
ejpam-4031	56	38	ρ(b̃`w	ρ(b̃`w	NOUN
ejpam-4031	56	39	)	)	PUNCT
ejpam-4031	56	40	>	>	X
ejpam-4031	57	1	ρ(b`w	ρ(b`w	X
ejpam-4031	57	2	)	)	PUNCT
ejpam-4031	57	3	if	if	SCONJ
ejpam-4031	57	4	ρ(b`w	ρ(b`w	NOUN
ejpam-4031	57	5	)	)	PUNCT
ejpam-4031	57	6	>	>	X
ejpam-4031	58	1	1	1	X
ejpam-4031	58	2	.	.	PUNCT
ejpam-4031	58	3	theorem	theorem	NOUN
ejpam-4031	58	4	3	3	NUM
ejpam-4031	58	5	.	.	PUNCT
ejpam-4031	59	1	[	[	X
ejpam-4031	59	2	3	3	X
ejpam-4031	59	3	]	]	PUNCT
ejpam-4031	59	4	let	let	VERB
ejpam-4031	59	5	the	the	DET
ejpam-4031	59	6	matrix	matrix	NOUN
ejpam-4031	59	7	a	a	DET
ejpam-4031	59	8	=	=	SYM
ejpam-4031	59	9	d	d	NOUN
ejpam-4031	59	10	–	–	PUNCT
ejpam-4031	59	11	l	l	NOUN
ejpam-4031	59	12	–	–	PUNCT
ejpam-4031	59	13	u	u	NOUN
ejpam-4031	59	14	be	be	VERB
ejpam-4031	59	15	a	a	DET
ejpam-4031	59	16	pcyclic	pcyclic	NOUN
ejpam-4031	59	17	consistently	consistently	ADV
ejpam-4031	59	18	ordered	order	VERB
ejpam-4031	59	19	one	one	NUM
ejpam-4031	59	20	with	with	ADP
ejpam-4031	59	21	non	non	ADJ
ejpam-4031	59	22	-	-	ADJ
ejpam-4031	59	23	singular	singular	ADJ
ejpam-4031	59	24	diagonal	diagonal	ADJ
ejpam-4031	59	25	submatrices	submatrice	NOUN
ejpam-4031	59	26	ajj	ajj	PROPN
ejpam-4031	59	27	,	,	PUNCT
ejpam-4031	59	28	j	j	PROPN
ejpam-4031	59	29	=	=	SYM
ejpam-4031	59	30	1	1	NUM
ejpam-4031	59	31	,	,	PUNCT
ejpam-4031	59	32	2	2	NUM
ejpam-4031	59	33	,	,	PUNCT
ejpam-4031	59	34	..	..	PUNCT
ejpam-4031	60	1	p.	p.	NOUN
ejpam-4031	60	2	if	if	SCONJ
ejpam-4031	60	3	all	all	DET
ejpam-4031	60	4	the	the	DET
ejpam-4031	60	5	eigenvalues	eigenvalue	NOUN
ejpam-4031	60	6	of	of	ADP
ejpam-4031	60	7	the	the	DET
ejpam-4031	60	8	pth	pth	NOUN
ejpam-4031	60	9	power	power	NOUN
ejpam-4031	60	10	of	of	ADP
ejpam-4031	60	11	the	the	DET
ejpam-4031	60	12	associated	associated	ADJ
ejpam-4031	60	13	jacobi	jacobi	PROPN
ejpam-4031	60	14	matrix	matrix	NOUN
ejpam-4031	60	15	t	t	PROPN
ejpam-4031	60	16	(	(	PUNCT
ejpam-4031	60	17	t	t	PROPN
ejpam-4031	60	18	=	=	PUNCT
ejpam-4031	60	19	i	i	PRON
ejpam-4031	60	20	−d−1	−d−1	NOUN
ejpam-4031	60	21	a	a	DET
ejpam-4031	60	22	a	a	NOUN
ejpam-4031	60	23	,	,	PUNCT
ejpam-4031	60	24	da	da	ADJ
ejpam-4031	60	25	=	=	PUNCT
ejpam-4031	60	26	diag	diag	X
ejpam-4031	60	27	(	(	PUNCT
ejpam-4031	60	28	a11	a11	PROPN
ejpam-4031	60	29	,	,	PUNCT
ejpam-4031	60	30	a22	a22	PROPN
ejpam-4031	60	31	,	,	PUNCT
ejpam-4031	60	32	.	.	PUNCT
ejpam-4031	60	33	.	.	PUNCT
ejpam-4031	61	1	.	.	PUNCT
ejpam-4031	62	1	,	,	PUNCT
ejpam-4031	62	2	app	app	PROPN
ejpam-4031	62	3	)	)	PUNCT
ejpam-4031	62	4	)	)	PUNCT
ejpam-4031	62	5	are	be	AUX
ejpam-4031	62	6	real	real	ADJ
ejpam-4031	62	7	and	and	CCONJ
ejpam-4031	62	8	nonnegative	nonnegative	ADJ
ejpam-4031	62	9	and	and	CCONJ
ejpam-4031	62	10	0	0	NUM
ejpam-4031	62	11	≤	≤	NOUN
ejpam-4031	62	12	(	(	PUNCT
ejpam-4031	62	13	ρ(t	ρ(t	PROPN
ejpam-4031	62	14	)	)	PUNCT
ejpam-4031	62	15	)	)	PUNCT
ejpam-4031	63	1	<	<	X
ejpam-4031	63	2	1	1	NUM
ejpam-4031	63	3	then	then	ADV
ejpam-4031	63	4	with	with	ADP
ejpam-4031	63	5	ω̂p	ω̂p	PRON
ejpam-4031	63	6	defined	define	VERB
ejpam-4031	63	7	by	by	ADP
ejpam-4031	63	8	(	(	PUNCT
ejpam-4031	63	9	ρω)p	ρω)p	PROPN
ejpam-4031	63	10	=	=	PRON
ejpam-4031	63	11	pp	pp	PROPN
ejpam-4031	63	12	(	(	PUNCT
ejpam-4031	63	13	p	p	NOUN
ejpam-4031	63	14	−	−	PROPN
ejpam-4031	63	15	1)1−p	1)1−p	NUM
ejpam-4031	63	16	(	(	PUNCT
ejpam-4031	63	17	ω	ω	NOUN
ejpam-4031	63	18	−	−	PROPN
ejpam-4031	63	19	1	1	NUM
ejpam-4031	63	20	)	)	PUNCT
ejpam-4031	63	21	,	,	PUNCT
ejpam-4031	63	22	when	when	SCONJ
ejpam-4031	63	23	ρ	ρ	PROPN
ejpam-4031	63	24	=	=	SYM
ejpam-4031	63	25	ρ(t	ρ(t	PROPN
ejpam-4031	63	26	)	)	PUNCT
ejpam-4031	63	27	,	,	PUNCT
ejpam-4031	63	28	it	it	PRON
ejpam-4031	63	29	is	be	AUX
ejpam-4031	63	30	ρ	ρ	NOUN
ejpam-4031	63	31	(	(	PUNCT
ejpam-4031	63	32	lω	lω	ADP
ejpam-4031	63	33	)	)	PUNCT
ejpam-4031	63	34	>	>	X
ejpam-4031	63	35	ρ	ρ	PROPN
ejpam-4031	63	36	(	(	PUNCT
ejpam-4031	63	37	lω̂p	lω̂p	PROPN
ejpam-4031	63	38	)	)	PUNCT
ejpam-4031	64	1	=	=	PUNCT
ejpam-4031	64	2	(	(	PUNCT
ejpam-4031	64	3	p−	p−	NOUN
ejpam-4031	64	4	1	1	NUM
ejpam-4031	64	5	)	)	PUNCT
ejpam-4031	64	6	(	(	PUNCT
ejpam-4031	64	7	ω̂p	ω̂p	X
ejpam-4031	64	8	−	−	PROPN
ejpam-4031	64	9	1	1	NUM
ejpam-4031	64	10	)	)	PUNCT
ejpam-4031	64	11	for	for	ADP
ejpam-4031	64	12	all	all	DET
ejpam-4031	64	13	ω	ω	PROPN
ejpam-4031	64	14	6=	6=	ADP
ejpam-4031	64	15	ω̂p	ω̂p	PRON
ejpam-4031	64	16	.	.	PUNCT
ejpam-4031	65	1	this	this	DET
ejpam-4031	65	2	paper	paper	NOUN
ejpam-4031	65	3	is	be	AUX
ejpam-4031	65	4	organized	organize	VERB
ejpam-4031	65	5	as	as	SCONJ
ejpam-4031	65	6	follows	follow	VERB
ejpam-4031	65	7	:	:	PUNCT
ejpam-4031	65	8	in	in	ADP
ejpam-4031	65	9	section	section	NOUN
ejpam-4031	65	10	2	2	NUM
ejpam-4031	65	11	,	,	PUNCT
ejpam-4031	65	12	we	we	PRON
ejpam-4031	65	13	describe	describe	VERB
ejpam-4031	65	14	the	the	DET
ejpam-4031	65	15	five	five	NUM
ejpam-4031	65	16	-	-	PUNCT
ejpam-4031	65	17	point	point	NOUN
ejpam-4031	65	18	finite	finite	ADJ
ejpam-4031	65	19	difference	difference	NOUN
ejpam-4031	65	20	(	(	PUNCT
ejpam-4031	65	21	sor	sor	NOUN
ejpam-4031	65	22	)	)	PUNCT
ejpam-4031	65	23	and	and	CCONJ
ejpam-4031	65	24	eg(sor	eg(sor	PROPN
ejpam-4031	65	25	)	)	PUNCT
ejpam-4031	65	26	.	.	PUNCT
ejpam-4031	66	1	in	in	ADP
ejpam-4031	66	2	section	section	NOUN
ejpam-4031	66	3	3	3	NUM
ejpam-4031	66	4	,	,	PUNCT
ejpam-4031	66	5	we	we	PRON
ejpam-4031	66	6	provide	provide	VERB
ejpam-4031	66	7	an	an	DET
ejpam-4031	66	8	overview	overview	NOUN
ejpam-4031	66	9	of	of	ADP
ejpam-4031	66	10	the	the	DET
ejpam-4031	66	11	iterative	iterative	NOUN
ejpam-4031	66	12	fivepoint	fivepoint	NOUN
ejpam-4031	66	13	differential	differential	NOUN
ejpam-4031	66	14	formula	formula	NOUN
ejpam-4031	66	15	(	(	PUNCT
ejpam-4031	66	16	aor	aor	NOUN
ejpam-4031	66	17	)	)	PUNCT
ejpam-4031	66	18	and	and	CCONJ
ejpam-4031	66	19	eg(aor	eg(aor	PROPN
ejpam-4031	66	20	)	)	PUNCT
ejpam-4031	66	21	for	for	ADP
ejpam-4031	66	22	the	the	DET
ejpam-4031	66	23	resolution	resolution	NOUN
ejpam-4031	66	24	of	of	ADP
ejpam-4031	66	25	poisson	poisson	PROPN
ejpam-4031	66	26	’s	’s	PART
ejpam-4031	66	27	equation	equation	NOUN
ejpam-4031	66	28	.	.	PUNCT
ejpam-4031	67	1	the	the	DET
ejpam-4031	67	2	numerical	numerical	ADJ
ejpam-4031	67	3	findings	finding	NOUN
ejpam-4031	67	4	are	be	AUX
ejpam-4031	67	5	presented	present	VERB
ejpam-4031	67	6	in	in	ADP
ejpam-4031	67	7	section	section	NOUN
ejpam-4031	67	8	4	4	NUM
ejpam-4031	67	9	to	to	PART
ejpam-4031	67	10	demonstrate	demonstrate	VERB
ejpam-4031	67	11	the	the	DET
ejpam-4031	67	12	egaor	egaor	ADJ
ejpam-4031	67	13	method	method	NOUN
ejpam-4031	67	14	’s	’s	PART
ejpam-4031	67	15	efficiency	efficiency	NOUN
ejpam-4031	67	16	.	.	PUNCT
ejpam-4031	68	1	the	the	DET
ejpam-4031	68	2	final	final	ADJ
ejpam-4031	68	3	observations	observation	NOUN
ejpam-4031	68	4	and	and	CCONJ
ejpam-4031	68	5	conclusions	conclusion	NOUN
ejpam-4031	68	6	are	be	AUX
ejpam-4031	68	7	given	give	VERB
ejpam-4031	68	8	in	in	ADP
ejpam-4031	68	9	section	section	NOUN
ejpam-4031	68	10	5	5	NUM
ejpam-4031	68	11	.	.	NOUN
ejpam-4031	68	12	2	2	NUM
ejpam-4031	68	13	.	.	X
ejpam-4031	68	14	explict	explict	PROPN
ejpam-4031	68	15	group	group	PROPN
ejpam-4031	68	16	sor	sor	NOUN
ejpam-4031	68	17	method	method	VERB
ejpam-4031	68	18	the	the	DET
ejpam-4031	68	19	sor	sor	NOUN
ejpam-4031	68	20	(	(	PUNCT
ejpam-4031	68	21	successive	successive	ADJ
ejpam-4031	68	22	over	over	ADP
ejpam-4031	68	23	-	-	PUNCT
ejpam-4031	68	24	relaxation	relaxation	NOUN
ejpam-4031	68	25	)	)	PUNCT
ejpam-4031	68	26	method	method	NOUN
ejpam-4031	68	27	is	be	AUX
ejpam-4031	68	28	a	a	DET
ejpam-4031	68	29	standard	standard	ADJ
ejpam-4031	68	30	iterative	iterative	NOUN
ejpam-4031	68	31	method	method	NOUN
ejpam-4031	68	32	for	for	ADP
ejpam-4031	68	33	solving	solve	VERB
ejpam-4031	68	34	linear	linear	NOUN
ejpam-4031	68	35	systems	system	NOUN
ejpam-4031	68	36	of	of	ADP
ejpam-4031	68	37	equations	equation	NOUN
ejpam-4031	68	38	,	,	PUNCT
ejpam-4031	68	39	particularly	particularly	ADV
ejpam-4031	68	40	large	large	ADJ
ejpam-4031	68	41	sparse	sparse	ADJ
ejpam-4031	68	42	systems	system	NOUN
ejpam-4031	68	43	arising	arise	VERB
ejpam-4031	68	44	from	from	ADP
ejpam-4031	68	45	partial	partial	ADJ
ejpam-4031	68	46	differential	differential	ADJ
ejpam-4031	68	47	equations	equation	NOUN
ejpam-4031	68	48	.	.	PUNCT
ejpam-4031	69	1	in	in	ADP
ejpam-4031	69	2	the	the	DET
ejpam-4031	69	3	sor	sor	NOUN
ejpam-4031	69	4	method	method	NOUN
ejpam-4031	69	5	,	,	PUNCT
ejpam-4031	69	6	the	the	DET
ejpam-4031	69	7	parameter	parameter	PROPN
ejpam-4031	69	8	ω	ω	PROPN
ejpam-4031	69	9	must	must	AUX
ejpam-4031	69	10	be	be	AUX
ejpam-4031	69	11	determined	determine	VERB
ejpam-4031	69	12	where	where	SCONJ
ejpam-4031	69	13	a	a	DET
ejpam-4031	69	14	suitable	suitable	ADJ
ejpam-4031	69	15	value	value	NOUN
ejpam-4031	69	16	of	of	ADP
ejpam-4031	69	17	ω	ω	PROPN
ejpam-4031	69	18	can	can	AUX
ejpam-4031	69	19	lead	lead	VERB
ejpam-4031	69	20	to	to	ADP
ejpam-4031	69	21	dramatic	dramatic	ADJ
ejpam-4031	69	22	convergence	convergence	NOUN
ejpam-4031	69	23	improvements	improvement	NOUN
ejpam-4031	69	24	.	.	PUNCT
ejpam-4031	70	1	therefore	therefore	ADV
ejpam-4031	70	2	,	,	PUNCT
ejpam-4031	70	3	the	the	DET
ejpam-4031	70	4	method	method	NOUN
ejpam-4031	70	5	of	of	ADP
ejpam-4031	70	6	sor	sor	NOUN
ejpam-4031	70	7	became	become	VERB
ejpam-4031	70	8	popular	popular	ADJ
ejpam-4031	70	9	and	and	CCONJ
ejpam-4031	70	10	was	be	AUX
ejpam-4031	70	11	chosen	choose	VERB
ejpam-4031	70	12	as	as	ADP
ejpam-4031	70	13	a	a	DET
ejpam-4031	70	14	method	method	NOUN
ejpam-4031	70	15	in	in	ADP
ejpam-4031	70	16	computer	computer	NOUN
ejpam-4031	70	17	codes	code	NOUN
ejpam-4031	70	18	to	to	PART
ejpam-4031	70	19	solve	solve	VERB
ejpam-4031	70	20	major	major	ADJ
ejpam-4031	70	21	practical	practical	ADJ
ejpam-4031	70	22	problems	problem	NOUN
ejpam-4031	70	23	such	such	ADJ
ejpam-4031	70	24	as	as	ADP
ejpam-4031	70	25	weather	weather	NOUN
ejpam-4031	70	26	prediction	prediction	NOUN
ejpam-4031	70	27	and	and	CCONJ
ejpam-4031	70	28	diffusion	diffusion	NOUN
ejpam-4031	70	29	of	of	ADP
ejpam-4031	70	30	the	the	DET
ejpam-4031	70	31	nuclear	nuclear	ADJ
ejpam-4031	70	32	reactor	reactor	NOUN
ejpam-4031	70	33	[	[	X
ejpam-4031	70	34	1	1	NUM
ejpam-4031	70	35	,	,	PUNCT
ejpam-4031	70	36	4	4	NUM
ejpam-4031	70	37	,	,	PUNCT
ejpam-4031	70	38	7	7	NUM
ejpam-4031	70	39	,	,	PUNCT
ejpam-4031	70	40	12	12	NUM
ejpam-4031	70	41	]	]	PUNCT
ejpam-4031	70	42	.	.	PUNCT
ejpam-4031	71	1	consider	consider	VERB
ejpam-4031	71	2	the	the	DET
ejpam-4031	71	3	elliptic	elliptic	ADJ
ejpam-4031	71	4	equation	equation	NOUN
ejpam-4031	71	5	that	that	PRON
ejpam-4031	71	6	is	be	AUX
ejpam-4031	71	7	linear	linear	ADJ
ejpam-4031	71	8	and	and	CCONJ
ejpam-4031	71	9	self	self	NOUN
ejpam-4031	71	10	-	-	PUNCT
ejpam-4031	71	11	adjoint	adjoint	NOUN
ejpam-4031	71	12	,	,	PUNCT
ejpam-4031	71	13	a	a	DET
ejpam-4031	71	14	∂2u	∂2u	ADJ
ejpam-4031	71	15	∂x2	∂x2	PROPN
ejpam-4031	71	16	+	+	SYM
ejpam-4031	71	17	b	b	PROPN
ejpam-4031	71	18	∂2u	∂2u	ADJ
ejpam-4031	71	19	∂x∂y	∂x∂y	PROPN
ejpam-4031	72	1	+	+	CCONJ
ejpam-4031	73	1	c	c	PROPN
ejpam-4031	73	2	∂2u	∂2u	NOUN
ejpam-4031	73	3	∂y2	∂y2	PROPN
ejpam-4031	74	1	+	+	CCONJ
ejpam-4031	74	2	d	d	X
ejpam-4031	74	3	∂u	∂u	PROPN
ejpam-4031	74	4	∂x	∂x	PROPN
ejpam-4031	74	5	+	+	CCONJ
ejpam-4031	74	6	e	e	X
ejpam-4031	74	7	∂u	∂u	PROPN
ejpam-4031	74	8	∂y	∂y	SYM
ejpam-4031	74	9	+	+	CCONJ
ejpam-4031	74	10	fu	fu	NOUN
ejpam-4031	74	11	+	+	CCONJ
ejpam-4031	74	12	g	g	NOUN
ejpam-4031	74	13	=	=	SYM
ejpam-4031	74	14	0	0	NUM
ejpam-4031	74	15	,	,	PUNCT
ejpam-4031	74	16	where	where	SCONJ
ejpam-4031	74	17	a	a	DET
ejpam-4031	74	18	,	,	PUNCT
ejpam-4031	74	19	b	b	NOUN
ejpam-4031	74	20	,	,	PUNCT
ejpam-4031	74	21	c	c	NOUN
ejpam-4031	74	22	,	,	PUNCT
ejpam-4031	74	23	d	d	NOUN
ejpam-4031	74	24	,	,	PUNCT
ejpam-4031	74	25	e	e	NOUN
ejpam-4031	74	26	,	,	PUNCT
ejpam-4031	74	27	f	f	PROPN
ejpam-4031	74	28	and	and	CCONJ
ejpam-4031	74	29	g	g	PROPN
ejpam-4031	74	30	may	may	AUX
ejpam-4031	74	31	be	be	AUX
ejpam-4031	74	32	a	a	DET
ejpam-4031	74	33	function	function	NOUN
ejpam-4031	74	34	of	of	ADP
ejpam-4031	74	35	the	the	DET
ejpam-4031	74	36	independent	independent	ADJ
ejpam-4031	74	37	variables	variable	NOUN
ejpam-4031	74	38	x	x	PUNCT
ejpam-4031	74	39	and	and	CCONJ
ejpam-4031	74	40	y	y	PROPN
ejpam-4031	74	41	of	of	ADP
ejpam-4031	74	42	the	the	DET
ejpam-4031	74	43	dependent	dependent	ADJ
ejpam-4031	74	44	variables	variable	NOUN
ejpam-4031	74	45	u	u	PROPN
ejpam-4031	74	46	.	.	PUNCT
ejpam-4031	75	1	elliptic	elliptic	ADJ
ejpam-4031	75	2	equations	equation	NOUN
ejpam-4031	75	3	describe	describe	VERB
ejpam-4031	75	4	problems	problem	NOUN
ejpam-4031	75	5	in	in	ADP
ejpam-4031	75	6	a	a	DET
ejpam-4031	75	7	closed	closed	ADJ
ejpam-4031	75	8	region	region	NOUN
ejpam-4031	75	9	.	.	PUNCT
ejpam-4031	76	1	the	the	DET
ejpam-4031	76	2	poisson	poisson	NOUN
ejpam-4031	76	3	and	and	CCONJ
ejpam-4031	76	4	laplace	laplace	NOUN
ejpam-4031	76	5	equations	equation	NOUN
ejpam-4031	76	6	are	be	AUX
ejpam-4031	76	7	examples	example	NOUN
ejpam-4031	76	8	of	of	ADP
ejpam-4031	76	9	the	the	DET
ejpam-4031	76	10	elliptic	elliptic	ADJ
ejpam-4031	76	11	equations	equation	NOUN
ejpam-4031	76	12	.	.	PUNCT
ejpam-4031	77	1	only	only	ADV
ejpam-4031	77	2	boundary	boundary	PROPN
ejpam-4031	77	3	a.m.	a.m.	PROPN
ejpam-4031	77	4	saeed	saeed	PROPN
ejpam-4031	77	5	,	,	PUNCT
ejpam-4031	77	6	n.	n.	PROPN
ejpam-4031	77	7	al	al	PROPN
ejpam-4031	77	8	-	-	PUNCT
ejpam-4031	77	9	harbi	harbi	PROPN
ejpam-4031	77	10	/	/	SYM
ejpam-4031	77	11	eur	eur	PROPN
ejpam-4031	77	12	.	.	PUNCT
ejpam-4031	78	1	j.	j.	PROPN
ejpam-4031	78	2	pure	pure	PROPN
ejpam-4031	78	3	appl	appl	PROPN
ejpam-4031	78	4	.	.	PROPN
ejpam-4031	78	5	math	math	PROPN
ejpam-4031	78	6	,	,	PUNCT
ejpam-4031	78	7	14	14	NUM
ejpam-4031	78	8	(	(	PUNCT
ejpam-4031	78	9	3	3	NUM
ejpam-4031	78	10	)	)	PUNCT
ejpam-4031	78	11	(	(	PUNCT
ejpam-4031	78	12	2021	2021	NUM
ejpam-4031	78	13	)	)	PUNCT
ejpam-4031	78	14	,	,	PUNCT
ejpam-4031	78	15	905	905	NUM
ejpam-4031	78	16	-	-	SYM
ejpam-4031	78	17	914	914	NUM
ejpam-4031	78	18	908	908	NUM
ejpam-4031	78	19	conditions	condition	NOUN
ejpam-4031	78	20	are	be	AUX
ejpam-4031	78	21	considered	consider	VERB
ejpam-4031	78	22	because	because	SCONJ
ejpam-4031	78	23	the	the	DET
ejpam-4031	78	24	dependent	dependent	ADJ
ejpam-4031	78	25	variable	variable	NOUN
ejpam-4031	78	26	does	do	AUX
ejpam-4031	78	27	not	not	PART
ejpam-4031	78	28	depend	depend	VERB
ejpam-4031	78	29	on	on	ADP
ejpam-4031	78	30	time	time	NOUN
ejpam-4031	78	31	.	.	PUNCT
ejpam-4031	79	1	in	in	ADP
ejpam-4031	79	2	this	this	DET
ejpam-4031	79	3	work	work	NOUN
ejpam-4031	79	4	,	,	PUNCT
ejpam-4031	79	5	we	we	PRON
ejpam-4031	79	6	will	will	AUX
ejpam-4031	79	7	consider	consider	VERB
ejpam-4031	79	8	the	the	DET
ejpam-4031	79	9	poisson	poisson	NOUN
ejpam-4031	79	10	equation	equation	NOUN
ejpam-4031	79	11	.	.	PUNCT
ejpam-4031	80	1	∇2u	∇2u	PROPN
ejpam-4031	80	2	=	=	SYM
ejpam-4031	81	1	∂2u	∂2u	PROPN
ejpam-4031	81	2	∂x2	∂x2	PROPN
ejpam-4031	81	3	+	+	CCONJ
ejpam-4031	81	4	∂2u	∂2u	ADJ
ejpam-4031	81	5	∂y2	∂y2	NUM
ejpam-4031	81	6	=	=	SYM
ejpam-4031	81	7	f(x	f(x	PROPN
ejpam-4031	81	8	,	,	PUNCT
ejpam-4031	81	9	y	y	PROPN
ejpam-4031	81	10	)	)	PUNCT
ejpam-4031	81	11	,	,	PUNCT
ejpam-4031	81	12	(	(	PUNCT
ejpam-4031	81	13	x	x	X
ejpam-4031	81	14	,	,	PUNCT
ejpam-4031	81	15	y	y	NOUN
ejpam-4031	81	16	)	)	PUNCT
ejpam-4031	81	17	∈	∈	PROPN
ejpam-4031	81	18	ω	ω	PROPN
ejpam-4031	81	19	(	(	PUNCT
ejpam-4031	81	20	4	4	NUM
ejpam-4031	81	21	)	)	PUNCT
ejpam-4031	81	22	with	with	ADP
ejpam-4031	81	23	specific	specific	ADJ
ejpam-4031	81	24	dirichlet	dirichlet	PROPN
ejpam-4031	81	25	boundary	boundary	ADJ
ejpam-4031	81	26	conditions	condition	NOUN
ejpam-4031	81	27	u(x	u(x	NOUN
ejpam-4031	81	28	,	,	PUNCT
ejpam-4031	81	29	y	y	NOUN
ejpam-4031	81	30	)	)	PUNCT
ejpam-4031	81	31	=	=	SYM
ejpam-4031	82	1	g(x	g(x	NOUN
ejpam-4031	82	2	,	,	PUNCT
ejpam-4031	82	3	y	y	NOUN
ejpam-4031	82	4	)	)	PUNCT
ejpam-4031	82	5	,	,	PUNCT
ejpam-4031	82	6	(	(	PUNCT
ejpam-4031	82	7	x	x	X
ejpam-4031	82	8	,	,	PUNCT
ejpam-4031	82	9	y	y	NOUN
ejpam-4031	82	10	)	)	PUNCT
ejpam-4031	82	11	∈	∈	PROPN
ejpam-4031	82	12	∂	∂	NUM
ejpam-4031	82	13	ω	ω	NOUN
ejpam-4031	82	14	.	.	PUNCT
ejpam-4031	83	1	at	at	ADP
ejpam-4031	83	2	this	this	DET
ejpam-4031	83	3	point	point	NOUN
ejpam-4031	83	4	,	,	PUNCT
ejpam-4031	83	5	(	(	PUNCT
ejpam-4031	83	6	xi	xi	PROPN
ejpam-4031	83	7	,	,	PUNCT
ejpam-4031	83	8	yj	yj	PROPN
ejpam-4031	83	9	)	)	PUNCT
ejpam-4031	83	10	the	the	DET
ejpam-4031	83	11	poisson	poisson	NOUN
ejpam-4031	83	12	equation	equation	NOUN
ejpam-4031	83	13	(	(	PUNCT
ejpam-4031	83	14	4	4	NUM
ejpam-4031	83	15	)	)	PUNCT
ejpam-4031	83	16	may	may	AUX
ejpam-4031	83	17	in	in	ADP
ejpam-4031	83	18	several	several	ADJ
ejpam-4031	83	19	ways	way	NOUN
ejpam-4031	83	20	be	be	AUX
ejpam-4031	83	21	approximated	approximate	VERB
ejpam-4031	83	22	.	.	PUNCT
ejpam-4031	84	1	assume	assume	VERB
ejpam-4031	84	2	u(xi	u(xi	PROPN
ejpam-4031	84	3	,	,	PUNCT
ejpam-4031	84	4	yj	yj	PROPN
ejpam-4031	84	5	)	)	PUNCT
ejpam-4031	84	6	is	be	AUX
ejpam-4031	84	7	a	a	DET
ejpam-4031	84	8	function	function	NOUN
ejpam-4031	84	9	of	of	ADP
ejpam-4031	84	10	independent	independent	ADJ
ejpam-4031	84	11	variables	variable	NOUN
ejpam-4031	84	12	x	x	PUNCT
ejpam-4031	84	13	and	and	CCONJ
ejpam-4031	84	14	y.	y.	NOUN
ejpam-4031	84	15	the	the	DET
ejpam-4031	84	16	grid	grid	NOUN
ejpam-4031	84	17	lines	line	NOUN
ejpam-4031	84	18	are	be	AUX
ejpam-4031	84	19	equally	equally	ADV
ejpam-4031	84	20	spaced	space	VERB
ejpam-4031	84	21	in	in	ADP
ejpam-4031	84	22	both	both	DET
ejpam-4031	84	23	directions	direction	NOUN
ejpam-4031	84	24	,	,	PUNCT
ejpam-4031	84	25	x	x	PRON
ejpam-4031	84	26	,	,	PUNCT
ejpam-4031	84	27	and	and	CCONJ
ejpam-4031	85	1	y.	y.	PROPN
ejpam-4031	85	2	then	then	ADV
ejpam-4031	85	3	,	,	PUNCT
ejpam-4031	85	4	we	we	PRON
ejpam-4031	85	5	can	can	AUX
ejpam-4031	85	6	set	set	VERB
ejpam-4031	85	7	h	h	NOUN
ejpam-4031	85	8	=	=	SYM
ejpam-4031	85	9	∆x	∆x	PROPN
ejpam-4031	85	10	=	=	SYM
ejpam-4031	85	11	∆y	∆y	PROPN
ejpam-4031	85	12	where	where	SCONJ
ejpam-4031	85	13	the	the	DET
ejpam-4031	85	14	grid	grid	NOUN
ejpam-4031	85	15	point	point	NOUN
ejpam-4031	85	16	p	p	NOUN
ejpam-4031	85	17	is	be	AUX
ejpam-4031	85	18	(	(	PUNCT
ejpam-4031	85	19	xi	xi	PROPN
ejpam-4031	85	20	,	,	PUNCT
ejpam-4031	85	21	yj	yj	PROPN
ejpam-4031	85	22	)	)	PUNCT
ejpam-4031	85	23	with	with	ADP
ejpam-4031	85	24	xi	xi	PROPN
ejpam-4031	85	25	=	=	SYM
ejpam-4031	85	26	i∆x	i∆x	PROPN
ejpam-4031	85	27	,	,	PUNCT
ejpam-4031	85	28	i	i	NOUN
ejpam-4031	85	29	=	=	NOUN
ejpam-4031	85	30	1	1	NUM
ejpam-4031	85	31	,	,	PUNCT
ejpam-4031	85	32	2	2	NUM
ejpam-4031	85	33	,	,	PUNCT
ejpam-4031	85	34	...	...	PUNCT
ejpam-4031	85	35	,	,	PUNCT
ejpam-4031	85	36	n	n	CCONJ
ejpam-4031	85	37	−	−	PROPN
ejpam-4031	85	38	1	1	NUM
ejpam-4031	85	39	,	,	PUNCT
ejpam-4031	85	40	and	and	CCONJ
ejpam-4031	85	41	yi	yi	NOUN
ejpam-4031	85	42	=	=	NOUN
ejpam-4031	85	43	i∆x	i∆x	PROPN
ejpam-4031	85	44	,	,	PUNCT
ejpam-4031	85	45	j	j	NOUN
ejpam-4031	85	46	=	=	SYM
ejpam-4031	85	47	1	1	NUM
ejpam-4031	85	48	,	,	PUNCT
ejpam-4031	85	49	2	2	NUM
ejpam-4031	85	50	,	,	PUNCT
ejpam-4031	85	51	...	...	PUNCT
ejpam-4031	85	52	,	,	PUNCT
ejpam-4031	85	53	n	n	CCONJ
ejpam-4031	85	54	−	−	PROPN
ejpam-4031	85	55	1	1	NUM
ejpam-4031	85	56	.	.	PUNCT
ejpam-4031	86	1	the	the	DET
ejpam-4031	86	2	basic	basic	ADJ
ejpam-4031	86	3	five	five	NUM
ejpam-4031	86	4	-	-	PUNCT
ejpam-4031	86	5	point	point	NOUN
ejpam-4031	86	6	formula	formula	NOUN
ejpam-4031	86	7	is	be	AUX
ejpam-4031	86	8	obtained	obtain	VERB
ejpam-4031	86	9	by	by	ADP
ejpam-4031	86	10	discretizing	discretize	VERB
ejpam-4031	86	11	eq	eq	X
ejpam-4031	86	12	.	.	PUNCT
ejpam-4031	87	1	(	(	PUNCT
ejpam-4031	87	2	4	4	NUM
ejpam-4031	87	3	)	)	PUNCT
ejpam-4031	87	4	and	and	CCONJ
ejpam-4031	87	5	using	use	VERB
ejpam-4031	87	6	the	the	DET
ejpam-4031	87	7	finite	finite	ADJ
ejpam-4031	87	8	difference	difference	NOUN
ejpam-4031	87	9	approximation	approximation	NOUN
ejpam-4031	87	10	.	.	PUNCT
ejpam-4031	88	1	ui+1,j	ui+1,j	NOUN
ejpam-4031	88	2	+	+	CCONJ
ejpam-4031	88	3	ui−1,j	ui−1,j	X
ejpam-4031	89	1	+	+	CCONJ
ejpam-4031	89	2	ui	ui	NOUN
ejpam-4031	89	3	,	,	PUNCT
ejpam-4031	89	4	j+1	j+1	PROPN
ejpam-4031	89	5	+	+	PROPN
ejpam-4031	89	6	ui	ui	NOUN
ejpam-4031	89	7	,	,	PUNCT
ejpam-4031	89	8	j−1	j−1	PROPN
ejpam-4031	89	9	−	−	PROPN
ejpam-4031	89	10	4ui	4ui	ADV
ejpam-4031	89	11	,	,	PUNCT
ejpam-4031	90	1	j	j	PROPN
ejpam-4031	90	2	=	=	SYM
ejpam-4031	90	3	h2fij	h2fij	PROPN
ejpam-4031	90	4	.	.	PUNCT
ejpam-4031	91	1	(	(	PUNCT
ejpam-4031	91	2	5	5	X
ejpam-4031	91	3	)	)	PUNCT
ejpam-4031	91	4	if	if	SCONJ
ejpam-4031	91	5	we	we	PRON
ejpam-4031	91	6	use	use	VERB
ejpam-4031	91	7	the	the	DET
ejpam-4031	91	8	standard	standard	ADJ
ejpam-4031	91	9	five	five	NUM
ejpam-4031	91	10	-	-	PUNCT
ejpam-4031	91	11	point	point	NOUN
ejpam-4031	91	12	approximation	approximation	NOUN
ejpam-4031	91	13	scheme	scheme	NOUN
ejpam-4031	91	14	,	,	PUNCT
ejpam-4031	91	15	sor	sor	NOUN
ejpam-4031	91	16	iterative	iterative	NOUN
ejpam-4031	91	17	method	method	NOUN
ejpam-4031	91	18	can	can	AUX
ejpam-4031	91	19	be	be	AUX
ejpam-4031	91	20	written	write	VERB
ejpam-4031	91	21	as	as	ADP
ejpam-4031	91	22	equations	equation	NOUN
ejpam-4031	91	23	(	(	PUNCT
ejpam-4031	91	24	5	5	NUM
ejpam-4031	91	25	)	)	PUNCT
ejpam-4031	91	26	u	u	NOUN
ejpam-4031	91	27	(	(	PUNCT
ejpam-4031	91	28	k+1	k+1	NOUN
ejpam-4031	91	29	)	)	PUNCT
ejpam-4031	91	30	ij	ij	NOUN
ejpam-4031	91	31	=	=	SYM
ejpam-4031	91	32	ω	ω	PROPN
ejpam-4031	91	33	4	4	NUM
ejpam-4031	91	34	(	(	PUNCT
ejpam-4031	91	35	u(k	u(k	PROPN
ejpam-4031	91	36	)	)	PUNCT
ejpam-4031	91	37	i+1,j	i+1,j	NOUN
ejpam-4031	91	38	+	+	CCONJ
ejpam-4031	91	39	u	u	PROPN
ejpam-4031	91	40	(	(	PUNCT
ejpam-4031	91	41	k	k	NOUN
ejpam-4031	91	42	)	)	PUNCT
ejpam-4031	91	43	i	i	PRON
ejpam-4031	91	44	,	,	PUNCT
ejpam-4031	91	45	j+1	j+1	PROPN
ejpam-4031	91	46	+	+	NUM
ejpam-4031	91	47	u	u	NOUN
ejpam-4031	91	48	(	(	PUNCT
ejpam-4031	91	49	k+1	k+1	NOUN
ejpam-4031	91	50	)	)	PUNCT
ejpam-4031	91	51	i−1,j	i−1,j	NOUN
ejpam-4031	91	52	+	+	CCONJ
ejpam-4031	91	53	u	u	PROPN
ejpam-4031	91	54	(	(	PUNCT
ejpam-4031	91	55	k+1	k+1	NOUN
ejpam-4031	91	56	)	)	PUNCT
ejpam-4031	91	57	i	i	PRON
ejpam-4031	91	58	,	,	PUNCT
ejpam-4031	91	59	j−1	j−1	PROPN
ejpam-4031	91	60	−	−	PROPN
ejpam-4031	91	61	h	h	NOUN
ejpam-4031	91	62	2fij	2fij	NOUN
ejpam-4031	91	63	)	)	PUNCT
ejpam-4031	92	1	+	+	CCONJ
ejpam-4031	92	2	(	(	PUNCT
ejpam-4031	92	3	1−	1−	NUM
ejpam-4031	92	4	ω)u(k	ω)u(k	ADJ
ejpam-4031	92	5	)	)	PUNCT
ejpam-4031	92	6	ij	ij	INTJ
ejpam-4031	92	7	.	.	PUNCT
ejpam-4031	93	1	(	(	PUNCT
ejpam-4031	93	2	6	6	X
ejpam-4031	93	3	)	)	PUNCT
ejpam-4031	93	4	each	each	PRON
ejpam-4031	93	5	of	of	ADP
ejpam-4031	93	6	equations	equation	NOUN
ejpam-4031	93	7	(	(	PUNCT
ejpam-4031	93	8	5	5	NUM
ejpam-4031	93	9	)	)	PUNCT
ejpam-4031	93	10	,	,	PUNCT
ejpam-4031	93	11	and	and	CCONJ
ejpam-4031	93	12	(	(	PUNCT
ejpam-4031	93	13	6	6	NUM
ejpam-4031	93	14	)	)	PUNCT
ejpam-4031	93	15	has	have	VERB
ejpam-4031	93	16	local	local	ADJ
ejpam-4031	93	17	order	order	NOUN
ejpam-4031	93	18	truncation	truncation	NOUN
ejpam-4031	93	19	errors	error	NOUN
ejpam-4031	93	20	o(h2	o(h2	NOUN
ejpam-4031	93	21	)	)	PUNCT
ejpam-4031	93	22	.	.	PUNCT
ejpam-4031	94	1	in	in	ADP
ejpam-4031	94	2	the	the	DET
ejpam-4031	94	3	(	(	PUNCT
ejpam-4031	94	4	eg	eg	NOUN
ejpam-4031	94	5	)	)	PUNCT
ejpam-4031	94	6	method	method	NOUN
ejpam-4031	94	7	,	,	PUNCT
ejpam-4031	94	8	the	the	DET
ejpam-4031	94	9	solution	solution	NOUN
ejpam-4031	94	10	domain	domain	NOUN
ejpam-4031	94	11	is	be	AUX
ejpam-4031	94	12	divided	divide	VERB
ejpam-4031	94	13	into	into	ADP
ejpam-4031	94	14	groups	group	NOUN
ejpam-4031	94	15	of	of	ADP
ejpam-4031	94	16	four	four	NUM
ejpam-4031	94	17	-	-	PUNCT
ejpam-4031	94	18	points	point	NOUN
ejpam-4031	94	19	.	.	PUNCT
ejpam-4031	95	1	the	the	DET
ejpam-4031	95	2	mesh	mesh	NOUN
ejpam-4031	95	3	points	point	NOUN
ejpam-4031	95	4	are	be	AUX
ejpam-4031	95	5	grouped	group	VERB
ejpam-4031	95	6	in	in	ADP
ejpam-4031	95	7	blocks	block	NOUN
ejpam-4031	95	8	of	of	ADP
ejpam-4031	95	9	four	four	NUM
ejpam-4031	95	10	points	point	NOUN
ejpam-4031	95	11	,	,	PUNCT
ejpam-4031	95	12	and	and	CCONJ
ejpam-4031	95	13	the	the	DET
ejpam-4031	95	14	standard	standard	ADJ
ejpam-4031	95	15	five	five	NUM
ejpam-4031	95	16	-	-	PUNCT
ejpam-4031	95	17	point	point	NOUN
ejpam-4031	95	18	equation	equation	NOUN
ejpam-4031	95	19	is	be	AUX
ejpam-4031	95	20	implemented	implement	VERB
ejpam-4031	95	21	at	at	ADP
ejpam-4031	95	22	each	each	PRON
ejpam-4031	95	23	of	of	ADP
ejpam-4031	95	24	these	these	DET
ejpam-4031	95	25	points	point	NOUN
ejpam-4031	95	26	,	,	PUNCT
ejpam-4031	95	27	and	and	CCONJ
ejpam-4031	95	28	this	this	PRON
ejpam-4031	95	29	will	will	AUX
ejpam-4031	95	30	result	result	VERB
ejpam-4031	95	31	in	in	ADP
ejpam-4031	95	32	a	a	DET
ejpam-4031	95	33	(	(	PUNCT
ejpam-4031	95	34	4	4	NUM
ejpam-4031	95	35	×	×	NOUN
ejpam-4031	95	36	4	4	NUM
ejpam-4031	95	37	)	)	PUNCT
ejpam-4031	95	38	system	system	NOUN
ejpam-4031	95	39	of	of	ADP
ejpam-4031	95	40	equations,	equations,	PROPN
ejpam-4031	95	41	4	4	NUM
ejpam-4031	95	42	−1	−1	NOUN
ejpam-4031	95	43	0	0	NUM
ejpam-4031	95	44	−1	−1	NOUN
ejpam-4031	95	45	−1	−1	NOUN
ejpam-4031	95	46	4	4	NUM
ejpam-4031	95	47	−1	−1	NOUN
ejpam-4031	95	48	0	0	NUM
ejpam-4031	95	49	0	0	NUM
ejpam-4031	95	50	−1	−1	NOUN
ejpam-4031	95	51	4	4	NUM
ejpam-4031	95	52	−1	−1	NOUN
ejpam-4031	95	53	−1	−1	NOUN
ejpam-4031	95	54	0	0	NUM
ejpam-4031	95	55	−1	−1	NOUN
ejpam-4031	95	56	4	4	NUM
ejpam-4031	95	57			ADJ
ejpam-4031	95	58			PROPN
ejpam-4031	95	59	uij	uij	VERB
ejpam-4031	95	60	ui+1,j	ui+1,j	NOUN
ejpam-4031	95	61	ui+1,j+1	ui+1,j+1	PROPN
ejpam-4031	95	62	ui	ui	PROPN
ejpam-4031	95	63	,	,	PUNCT
ejpam-4031	95	64	j+1	j+1	PROPN
ejpam-4031	95	65			VERB
ejpam-4031	95	66	=	=	SYM
ejpam-4031	95	67			NOUN
ejpam-4031	95	68	ui−1,j	ui−1,j	ADP
ejpam-4031	95	69	+	+	CCONJ
ejpam-4031	95	70	ui	ui	PROPN
ejpam-4031	95	71	,	,	PUNCT
ejpam-4031	95	72	j−1	j−1	PROPN
ejpam-4031	95	73	−	−	PROPN
ejpam-4031	96	1	h2fij	h2fij	PRON
ejpam-4031	96	2	ui+2,j	ui+2,j	PROPN
ejpam-4031	96	3	+	+	NUM
ejpam-4031	96	4	ui+1,j−1	ui+1,j−1	NOUN
ejpam-4031	96	5	−	−	PROPN
ejpam-4031	96	6	h2fi+1j	h2fi+1j	NOUN
ejpam-4031	96	7	ui+2,j+1	ui+2,j+1	PRON
ejpam-4031	97	1	+	+	CCONJ
ejpam-4031	97	2	ui+1,j+2	ui+1,j+2	NOUN
ejpam-4031	97	3	−	−	NOUN
ejpam-4031	97	4	h2fi+1j+1	h2fi+1j+1	PUNCT
ejpam-4031	98	1	ui−1,j+1	ui−1,j+1	ADJ
ejpam-4031	98	2	+	+	CCONJ
ejpam-4031	98	3	ui	ui	NOUN
ejpam-4031	98	4	,	,	PUNCT
ejpam-4031	98	5	j+2	j+2	PROPN
ejpam-4031	98	6	−	−	PROPN
ejpam-4031	98	7	h2fi	h2fi	PUNCT
ejpam-4031	98	8	,	,	PUNCT
ejpam-4031	98	9	j+1	j+1	PROPN
ejpam-4031	98	10			VERB
ejpam-4031	98	11	.	.	PUNCT
ejpam-4031	99	1	(	(	PUNCT
ejpam-4031	99	2	7	7	X
ejpam-4031	99	3	)	)	PUNCT
ejpam-4031	99	4	equation	equation	NOUN
ejpam-4031	99	5	(	(	PUNCT
ejpam-4031	99	6	7	7	X
ejpam-4031	99	7	)	)	PUNCT
ejpam-4031	99	8	can	can	AUX
ejpam-4031	99	9	be	be	AUX
ejpam-4031	99	10	easily	easily	ADV
ejpam-4031	99	11	inverted	invert	VERB
ejpam-4031	99	12	to	to	PART
ejpam-4031	99	13	produce	produce	VERB
ejpam-4031	99	14	a	a	DET
ejpam-4031	99	15	four	four	NUM
ejpam-4031	99	16	-	-	PUNCT
ejpam-4031	99	17	point	point	NOUN
ejpam-4031	99	18	explicit	explicit	ADJ
ejpam-4031	99	19	group	group	NOUN
ejpam-4031	99	20	equation:	equation:	NOUN
ejpam-4031	99	21	uij	uij	PART
ejpam-4031	99	22	ui+1,j	ui+1,j	NOUN
ejpam-4031	99	23	ui+1,j+1	ui+1,j+1	PROPN
ejpam-4031	99	24	ui	ui	PROPN
ejpam-4031	99	25	,	,	PUNCT
ejpam-4031	99	26	j+1	j+1	PROPN
ejpam-4031	99	27			VERB
ejpam-4031	99	28	=	=	SYM
ejpam-4031	99	29	1	1	NUM
ejpam-4031	99	30	24	24	NUM
ejpam-4031	99	31			NOUN
ejpam-4031	99	32	7	7	NUM
ejpam-4031	99	33	2	2	NUM
ejpam-4031	99	34	1	1	NUM
ejpam-4031	99	35	2	2	NUM
ejpam-4031	99	36	2	2	NUM
ejpam-4031	99	37	7	7	NUM
ejpam-4031	99	38	2	2	NUM
ejpam-4031	99	39	1	1	NUM
ejpam-4031	99	40	1	1	NUM
ejpam-4031	99	41	2	2	NUM
ejpam-4031	99	42	7	7	NUM
ejpam-4031	99	43	2	2	NUM
ejpam-4031	99	44	2	2	NUM
ejpam-4031	99	45	1	1	NUM
ejpam-4031	99	46	2	2	NUM
ejpam-4031	99	47	7	7	NUM
ejpam-4031	99	48			ADJ
ejpam-4031	99	49			NOUN
ejpam-4031	99	50	ui−1,j	ui−1,j	ADP
ejpam-4031	99	51	+	+	CCONJ
ejpam-4031	99	52	ui	ui	PROPN
ejpam-4031	99	53	,	,	PUNCT
ejpam-4031	99	54	j−1	j−1	PROPN
ejpam-4031	99	55	−	−	PROPN
ejpam-4031	99	56	h2fij	h2fij	PRON
ejpam-4031	99	57	ui+2,j	ui+2,j	PROPN
ejpam-4031	99	58	+	+	NUM
ejpam-4031	99	59	ui+1,j−1	ui+1,j−1	NOUN
ejpam-4031	99	60	−	−	PROPN
ejpam-4031	99	61	h2fi+1j	h2fi+1j	NOUN
ejpam-4031	99	62	ui+2,j+1	ui+2,j+1	PRON
ejpam-4031	100	1	+	+	CCONJ
ejpam-4031	100	2	ui+1,j+2	ui+1,j+2	NOUN
ejpam-4031	100	3	−	−	NOUN
ejpam-4031	100	4	h2fi+1j+1	h2fi+1j+1	PUNCT
ejpam-4031	101	1	ui−1,j+1	ui−1,j+1	ADJ
ejpam-4031	101	2	+	+	CCONJ
ejpam-4031	101	3	ui	ui	NOUN
ejpam-4031	101	4	,	,	PUNCT
ejpam-4031	101	5	j+2	j+2	PROPN
ejpam-4031	101	6	−	−	PROPN
ejpam-4031	101	7	h2fi	h2fi	PUNCT
ejpam-4031	101	8	,	,	PUNCT
ejpam-4031	101	9	j+1	j+1	PROPN
ejpam-4031	101	10			VERB
ejpam-4031	101	11	whose	whose	DET
ejpam-4031	101	12	each	each	DET
ejpam-4031	101	13	explicit	explicit	ADJ
ejpam-4031	101	14	equations	equation	NOUN
ejpam-4031	101	15	can	can	AUX
ejpam-4031	101	16	be	be	AUX
ejpam-4031	101	17	written	write	VERB
ejpam-4031	101	18	in	in	ADP
ejpam-4031	101	19	the	the	DET
ejpam-4031	101	20	form	form	NOUN
ejpam-4031	101	21	uij	uij	X
ejpam-4031	101	22	=	=	PUNCT
ejpam-4031	102	1	1	1	NUM
ejpam-4031	102	2	24[7r1	24[7r1	NUM
ejpam-4031	102	3	+	+	NUM
ejpam-4031	102	4	2(r2	2(r2	NUM
ejpam-4031	102	5	+	+	CCONJ
ejpam-4031	102	6	r4	r4	NOUN
ejpam-4031	102	7	)	)	PUNCT
ejpam-4031	103	1	+	+	NUM
ejpam-4031	103	2	r3	r3	PROPN
ejpam-4031	103	3	]	]	PUNCT
ejpam-4031	103	4	,	,	PUNCT
ejpam-4031	103	5	ui+1,j	ui+1,j	NOUN
ejpam-4031	103	6	=	=	NOUN
ejpam-4031	103	7	1	1	NUM
ejpam-4031	103	8	24[7r2	24[7r2	NUM
ejpam-4031	104	1	+	+	NUM
ejpam-4031	104	2	2(r1	2(r1	NUM
ejpam-4031	104	3	+	+	NUM
ejpam-4031	104	4	r3	r3	PROPN
ejpam-4031	104	5	)	)	PUNCT
ejpam-4031	105	1	+	+	CCONJ
ejpam-4031	106	1	r4	r4	PROPN
ejpam-4031	106	2	]	]	PUNCT
ejpam-4031	106	3	,	,	PUNCT
ejpam-4031	106	4	ui+1,j+1	ui+1,j+1	PUNCT
ejpam-4031	106	5	=	=	SYM
ejpam-4031	106	6	1	1	NUM
ejpam-4031	106	7	24[7r3	24[7r3	NUM
ejpam-4031	106	8	+	+	NUM
ejpam-4031	106	9	2(r2	2(r2	NUM
ejpam-4031	106	10	+	+	CCONJ
ejpam-4031	106	11	r4	r4	NOUN
ejpam-4031	106	12	)	)	PUNCT
ejpam-4031	107	1	+	+	CCONJ
ejpam-4031	107	2	r1	r1	PROPN
ejpam-4031	107	3	]	]	PUNCT
ejpam-4031	107	4	,	,	PUNCT
ejpam-4031	107	5	ui	ui	NOUN
ejpam-4031	107	6	,	,	PUNCT
ejpam-4031	107	7	j+1	j+1	PROPN
ejpam-4031	107	8	=	=	SYM
ejpam-4031	107	9	1	1	NUM
ejpam-4031	107	10	24[7r4	24[7r4	NUM
ejpam-4031	108	1	+	+	NUM
ejpam-4031	108	2	2(r1	2(r1	PROPN
ejpam-4031	108	3	+	+	NUM
ejpam-4031	108	4	r3	r3	PROPN
ejpam-4031	108	5	)	)	PUNCT
ejpam-4031	109	1	+	+	CCONJ
ejpam-4031	109	2	r2	r2	NOUN
ejpam-4031	109	3	]	]	PUNCT
ejpam-4031	109	4	,	,	PUNCT
ejpam-4031	109	5	(	(	PUNCT
ejpam-4031	109	6	8)	8)	NUM
ejpam-4031	109	7	a.m.	a.m.	PROPN
ejpam-4031	109	8	saeed	saeed	PROPN
ejpam-4031	109	9	,	,	PUNCT
ejpam-4031	109	10	n.	n.	PROPN
ejpam-4031	109	11	al	al	PROPN
ejpam-4031	109	12	-	-	PUNCT
ejpam-4031	109	13	harbi	harbi	PROPN
ejpam-4031	109	14	/	/	SYM
ejpam-4031	109	15	eur	eur	PROPN
ejpam-4031	109	16	.	.	PUNCT
ejpam-4031	110	1	j.	j.	PROPN
ejpam-4031	110	2	pure	pure	PROPN
ejpam-4031	110	3	appl	appl	PROPN
ejpam-4031	110	4	.	.	PROPN
ejpam-4031	110	5	math	math	PROPN
ejpam-4031	110	6	,	,	PUNCT
ejpam-4031	110	7	14	14	NUM
ejpam-4031	110	8	(	(	PUNCT
ejpam-4031	110	9	3	3	NUM
ejpam-4031	110	10	)	)	PUNCT
ejpam-4031	110	11	(	(	PUNCT
ejpam-4031	110	12	2021	2021	NUM
ejpam-4031	110	13	)	)	PUNCT
ejpam-4031	110	14	,	,	PUNCT
ejpam-4031	110	15	905	905	NUM
ejpam-4031	110	16	-	-	SYM
ejpam-4031	110	17	914	914	NUM
ejpam-4031	110	18	909	909	NUM
ejpam-4031	110	19	where	where	SCONJ
ejpam-4031	110	20	r1	r1	NOUN
ejpam-4031	110	21	=	=	PUNCT
ejpam-4031	110	22	ui−1,j	ui−1,j	X
ejpam-4031	110	23	+	+	CCONJ
ejpam-4031	110	24	ui	ui	NOUN
ejpam-4031	110	25	,	,	PUNCT
ejpam-4031	110	26	j−1	j−1	PROPN
ejpam-4031	110	27	−	−	PROPN
ejpam-4031	110	28	h2fij	h2fij	PROPN
ejpam-4031	110	29	r2	r2	NOUN
ejpam-4031	110	30	=	=	SYM
ejpam-4031	110	31	ui+2,j	ui+2,j	PROPN
ejpam-4031	110	32	+	+	NUM
ejpam-4031	110	33	ui+1,j−1	ui+1,j−1	NOUN
ejpam-4031	110	34	−	−	NOUN
ejpam-4031	110	35	h2fi+1,j	h2fi+1,j	NOUN
ejpam-4031	110	36	r3	r3	NOUN
ejpam-4031	110	37	=	=	SYM
ejpam-4031	110	38	ui+2,j+1	ui+2,j+1	PROPN
ejpam-4031	111	1	+	+	CCONJ
ejpam-4031	111	2	ui+1,j+2	ui+1,j+2	NOUN
ejpam-4031	111	3	−	−	PROPN
ejpam-4031	111	4	h2fi+1,j+1	h2fi+1,j+1	ADJ
ejpam-4031	111	5	r4	r4	NOUN
ejpam-4031	111	6	=	=	SYM
ejpam-4031	111	7	ui−1,j+1	ui−1,j+1	PROPN
ejpam-4031	111	8	+	+	CCONJ
ejpam-4031	111	9	ui	ui	NOUN
ejpam-4031	111	10	,	,	PUNCT
ejpam-4031	111	11	j+2	j+2	PROPN
ejpam-4031	111	12	−	−	PROPN
ejpam-4031	111	13	h2fi	h2fi	PUNCT
ejpam-4031	111	14	,	,	PUNCT
ejpam-4031	111	15	j+1	j+1	NUM
ejpam-4031	111	16	.	.	PUNCT
ejpam-4031	112	1	the	the	DET
ejpam-4031	112	2	approach	approach	NOUN
ejpam-4031	112	3	uses	use	VERB
ejpam-4031	112	4	the	the	DET
ejpam-4031	112	5	collection	collection	NOUN
ejpam-4031	112	6	of	of	ADP
ejpam-4031	112	7	equations	equation	NOUN
ejpam-4031	112	8	to	to	PART
ejpam-4031	112	9	iteratively	iteratively	ADV
ejpam-4031	112	10	evaluate	evaluate	VERB
ejpam-4031	112	11	the	the	DET
ejpam-4031	112	12	solution	solution	NOUN
ejpam-4031	112	13	in	in	ADP
ejpam-4031	112	14	blocks	block	NOUN
ejpam-4031	112	15	of	of	ADP
ejpam-4031	112	16	four	four	NUM
ejpam-4031	112	17	points	point	NOUN
ejpam-4031	112	18	around	around	ADP
ejpam-4031	112	19	the	the	DET
ejpam-4031	112	20	entire	entire	ADJ
ejpam-4031	112	21	solution	solution	NOUN
ejpam-4031	112	22	domain	domain	NOUN
ejpam-4031	112	23	(	(	PUNCT
ejpam-4031	112	24	4	4	NUM
ejpam-4031	112	25	)	)	PUNCT
ejpam-4031	112	26	.	.	PUNCT
ejpam-4031	113	1	until	until	SCONJ
ejpam-4031	113	2	convergence	convergence	NOUN
ejpam-4031	113	3	is	be	AUX
ejpam-4031	113	4	achieved	achieve	VERB
ejpam-4031	113	5	,	,	PUNCT
ejpam-4031	113	6	the	the	DET
ejpam-4031	113	7	process	process	NOUN
ejpam-4031	113	8	is	be	AUX
ejpam-4031	113	9	continuous	continuous	ADJ
ejpam-4031	113	10	.	.	PUNCT
ejpam-4031	114	1	3	3	X
ejpam-4031	114	2	.	.	X
ejpam-4031	114	3	explicit	explicit	ADJ
ejpam-4031	114	4	group	group	NOUN
ejpam-4031	114	5	aor	aor	PROPN
ejpam-4031	114	6	method	method	VERB
ejpam-4031	114	7	the	the	DET
ejpam-4031	114	8	aor	aor	NOUN
ejpam-4031	114	9	method	method	NOUN
ejpam-4031	114	10	,	,	PUNCT
ejpam-4031	114	11	au	au	ADP
ejpam-4031	114	12	=	=	SYM
ejpam-4031	114	13	b	b	PROPN
ejpam-4031	114	14	,	,	PUNCT
ejpam-4031	114	15	is	be	AUX
ejpam-4031	114	16	a	a	DET
ejpam-4031	114	17	well	well	ADV
ejpam-4031	114	18	-	-	PUNCT
ejpam-4031	114	19	known	know	VERB
ejpam-4031	114	20	iterative	iterative	NOUN
ejpam-4031	114	21	method	method	NOUN
ejpam-4031	114	22	for	for	ADP
ejpam-4031	114	23	solving	solve	VERB
ejpam-4031	114	24	linear	linear	NOUN
ejpam-4031	114	25	systems	system	NOUN
ejpam-4031	114	26	of	of	ADP
ejpam-4031	114	27	equations	equation	NOUN
ejpam-4031	114	28	with	with	ADP
ejpam-4031	114	29	two	two	NUM
ejpam-4031	114	30	real	real	ADJ
ejpam-4031	114	31	parameters	parameter	NOUN
ejpam-4031	114	32	r	r	NOUN
ejpam-4031	114	33	and	and	CCONJ
ejpam-4031	114	34	ω	ω	NOUN
ejpam-4031	114	35	.	.	PUNCT
ejpam-4031	115	1	when	when	SCONJ
ejpam-4031	115	2	the	the	DET
ejpam-4031	115	3	two	two	NUM
ejpam-4031	115	4	parameters	parameter	NOUN
ejpam-4031	115	5	involved	involve	VERB
ejpam-4031	115	6	in	in	ADP
ejpam-4031	115	7	the	the	DET
ejpam-4031	115	8	(	(	PUNCT
ejpam-4031	115	9	aor	aor	NOUN
ejpam-4031	115	10	)	)	PUNCT
ejpam-4031	115	11	method	method	NOUN
ejpam-4031	115	12	take	take	VERB
ejpam-4031	115	13	on	on	ADP
ejpam-4031	115	14	some	some	DET
ejpam-4031	115	15	particular	particular	ADJ
ejpam-4031	115	16	values	value	NOUN
ejpam-4031	115	17	,	,	PUNCT
ejpam-4031	115	18	it	it	PRON
ejpam-4031	115	19	can	can	AUX
ejpam-4031	115	20	be	be	AUX
ejpam-4031	115	21	thought	think	VERB
ejpam-4031	115	22	of	of	ADP
ejpam-4031	115	23	as	as	ADP
ejpam-4031	115	24	an	an	DET
ejpam-4031	115	25	extrapolation	extrapolation	NOUN
ejpam-4031	115	26	of	of	ADP
ejpam-4031	115	27	the	the	DET
ejpam-4031	115	28	(	(	PUNCT
ejpam-4031	115	29	sor	sor	NOUN
ejpam-4031	115	30	)	)	PUNCT
ejpam-4031	115	31	method	method	NOUN
ejpam-4031	115	32	[	[	X
ejpam-4031	115	33	4	4	NUM
ejpam-4031	115	34	,	,	PUNCT
ejpam-4031	115	35	5	5	NUM
ejpam-4031	115	36	]	]	PUNCT
ejpam-4031	115	37	.	.	PUNCT
ejpam-4031	116	1	a	a	DET
ejpam-4031	116	2	matrix	matrix	NOUN
ejpam-4031	116	3	a	a	PRON
ejpam-4031	116	4	can	can	AUX
ejpam-4031	116	5	be	be	AUX
ejpam-4031	116	6	decomposed	decompose	VERB
ejpam-4031	116	7	as	as	ADP
ejpam-4031	116	8	a	a	DET
ejpam-4031	116	9	=	=	SYM
ejpam-4031	116	10	d	d	NOUN
ejpam-4031	116	11	−	−	PROPN
ejpam-4031	116	12	l−	l−	PROPN
ejpam-4031	116	13	u	u	NOUN
ejpam-4031	116	14	,	,	PUNCT
ejpam-4031	116	15	(	(	PUNCT
ejpam-4031	116	16	9	9	X
ejpam-4031	116	17	)	)	PUNCT
ejpam-4031	116	18	d	d	NOUN
ejpam-4031	116	19	is	be	AUX
ejpam-4031	116	20	a	a	DET
ejpam-4031	116	21	diagonal	diagonal	ADJ
ejpam-4031	116	22	matrix	matrix	NOUN
ejpam-4031	116	23	,	,	PUNCT
ejpam-4031	116	24	and	and	CCONJ
ejpam-4031	116	25	l	l	NOUN
ejpam-4031	116	26	and	and	CCONJ
ejpam-4031	116	27	u	u	NOUN
ejpam-4031	116	28	are	be	AUX
ejpam-4031	116	29	strictly	strictly	ADV
ejpam-4031	116	30	lower	low	ADJ
ejpam-4031	116	31	and	and	CCONJ
ejpam-4031	116	32	upper	upper	ADJ
ejpam-4031	116	33	triangular	triangular	NOUN
ejpam-4031	116	34	matrices	matrix	NOUN
ejpam-4031	116	35	.	.	PUNCT
ejpam-4031	117	1	the	the	DET
ejpam-4031	117	2	aor	aor	PROPN
ejpam-4031	117	3	iterative	iterative	NOUN
ejpam-4031	117	4	method	method	NOUN
ejpam-4031	117	5	can	can	AUX
ejpam-4031	117	6	be	be	AUX
ejpam-4031	117	7	written	write	VERB
ejpam-4031	117	8	as	as	ADP
ejpam-4031	117	9	:	:	PUNCT
ejpam-4031	117	10	u(k+1	u(k+1	NUM
ejpam-4031	117	11	)	)	PUNCT
ejpam-4031	117	12	=	=	SYM
ejpam-4031	117	13	lr	lr	X
ejpam-4031	117	14	,	,	PUNCT
ejpam-4031	117	15	ωu	ωu	PROPN
ejpam-4031	117	16	(	(	PUNCT
ejpam-4031	117	17	k	k	NOUN
ejpam-4031	117	18	)	)	PUNCT
ejpam-4031	118	1	+	+	NUM
ejpam-4031	118	2	ω(d	ω(d	NOUN
ejpam-4031	118	3	−	−	X
ejpam-4031	118	4	rl)−1b	rl)−1b	PROPN
ejpam-4031	118	5	(	(	PUNCT
ejpam-4031	118	6	10	10	NUM
ejpam-4031	118	7	)	)	PUNCT
ejpam-4031	118	8	where	where	SCONJ
ejpam-4031	118	9	lr	lr	PROPN
ejpam-4031	118	10	,	,	PUNCT
ejpam-4031	118	11	ω	ω	NUM
ejpam-4031	118	12	=	=	SYM
ejpam-4031	118	13	(	(	PUNCT
ejpam-4031	118	14	i	i	PRON
ejpam-4031	118	15	−	−	VERB
ejpam-4031	118	16	rd−1l)−1[(1−	rd−1l)−1[(1−	NOUN
ejpam-4031	118	17	ω)i	ω)i	PUNCT
ejpam-4031	119	1	+	+	CCONJ
ejpam-4031	119	2	(	(	PUNCT
ejpam-4031	119	3	ω	ω	INTJ
ejpam-4031	119	4	−	−	PROPN
ejpam-4031	119	5	r)d−1l+	r)d−1l+	PROPN
ejpam-4031	119	6	ωd−1u	ωd−1u	NUM
ejpam-4031	119	7	]	]	PUNCT
ejpam-4031	119	8	.	.	PUNCT
ejpam-4031	120	1	according	accord	VERB
ejpam-4031	120	2	to	to	ADP
ejpam-4031	120	3	equation	equation	NOUN
ejpam-4031	120	4	(	(	PUNCT
ejpam-4031	120	5	6	6	NUM
ejpam-4031	120	6	)	)	PUNCT
ejpam-4031	120	7	in	in	ADP
ejpam-4031	120	8	section	section	NOUN
ejpam-4031	120	9	2	2	NUM
ejpam-4031	120	10	,	,	PUNCT
ejpam-4031	120	11	the	the	DET
ejpam-4031	120	12	aor	aor	NOUN
ejpam-4031	120	13	iterative	iterative	NOUN
ejpam-4031	120	14	scheme	scheme	NOUN
ejpam-4031	120	15	for	for	ADP
ejpam-4031	120	16	the	the	DET
ejpam-4031	120	17	standard	standard	ADJ
ejpam-4031	120	18	fivepoint	fivepoint	NOUN
ejpam-4031	120	19	can	can	AUX
ejpam-4031	120	20	be	be	AUX
ejpam-4031	120	21	written	write	VERB
ejpam-4031	120	22	as	as	SCONJ
ejpam-4031	120	23	we	we	PRON
ejpam-4031	120	24	have	have	VERB
ejpam-4031	120	25	to	to	PART
ejpam-4031	120	26	determine	determine	VERB
ejpam-4031	120	27	the	the	DET
ejpam-4031	120	28	expressions	expression	NOUN
ejpam-4031	120	29	consist	consist	VERB
ejpam-4031	120	30	in	in	ADP
ejpam-4031	120	31	the	the	DET
ejpam-4031	120	32	lower	low	ADJ
ejpam-4031	120	33	triangular	triangular	NOUN
ejpam-4031	120	34	matrix	matrix	NOUN
ejpam-4031	120	35	.	.	PUNCT
ejpam-4031	121	1	the	the	DET
ejpam-4031	121	2	values	value	NOUN
ejpam-4031	121	3	of	of	ADP
ejpam-4031	121	4	these	these	DET
ejpam-4031	121	5	expressions	expression	NOUN
ejpam-4031	121	6	have	have	AUX
ejpam-4031	121	7	been	be	AUX
ejpam-4031	121	8	computed	compute	VERB
ejpam-4031	121	9	.	.	PUNCT
ejpam-4031	122	1	from	from	ADP
ejpam-4031	122	2	equation	equation	NOUN
ejpam-4031	122	3	(	(	PUNCT
ejpam-4031	122	4	6	6	NUM
ejpam-4031	122	5	)	)	PUNCT
ejpam-4031	122	6	,	,	PUNCT
ejpam-4031	122	7	we	we	PRON
ejpam-4031	122	8	have	have	AUX
ejpam-4031	122	9	already	already	ADV
ejpam-4031	122	10	computed	compute	VERB
ejpam-4031	122	11	u(k+1	u(k+1	NOUN
ejpam-4031	122	12	)	)	PUNCT
ejpam-4031	122	13	i−1,j	i−1,j	NOUN
ejpam-4031	122	14	and	and	CCONJ
ejpam-4031	122	15	u(k+1	u(k+1	NOUN
ejpam-4031	122	16	)	)	PUNCT
ejpam-4031	123	1	i	i	PRON
ejpam-4031	123	2	,	,	PUNCT
ejpam-4031	123	3	j−1	j−1	PROPN
ejpam-4031	123	4	.	.	PUNCT
ejpam-4031	124	1	so	so	ADV
ejpam-4031	124	2	,	,	PUNCT
ejpam-4031	124	3	we	we	PRON
ejpam-4031	124	4	have	have	VERB
ejpam-4031	124	5	to	to	PART
ejpam-4031	124	6	change	change	VERB
ejpam-4031	124	7	u(k+1	u(k+1	ADJ
ejpam-4031	124	8	)	)	PUNCT
ejpam-4031	124	9	i−1,j	i−1,j	NOUN
ejpam-4031	124	10	and	and	CCONJ
ejpam-4031	124	11	u(k+1	u(k+1	NOUN
ejpam-4031	124	12	)	)	PUNCT
ejpam-4031	125	1	i	i	PRON
ejpam-4031	125	2	,	,	PUNCT
ejpam-4031	125	3	j−1	j−1	PROPN
ejpam-4031	125	4	to	to	PART
ejpam-4031	125	5	u(k	u(k	PROPN
ejpam-4031	125	6	)	)	PUNCT
ejpam-4031	125	7	i−1,j	i−1,j	NOUN
ejpam-4031	125	8	and	and	CCONJ
ejpam-4031	125	9	u	u	PROPN
ejpam-4031	125	10	(	(	PUNCT
ejpam-4031	125	11	k	k	NOUN
ejpam-4031	125	12	)	)	PUNCT
ejpam-4031	125	13	i	i	PROPN
ejpam-4031	125	14	,	,	PUNCT
ejpam-4031	125	15	j−1	j−1	PROPN
ejpam-4031	125	16	.	.	PUNCT
ejpam-4031	126	1	then	then	ADV
ejpam-4031	126	2	,	,	PUNCT
ejpam-4031	126	3	add	add	VERB
ejpam-4031	126	4	r(u(k+1	r(u(k+1	NOUN
ejpam-4031	126	5	)	)	PUNCT
ejpam-4031	126	6	i−1,j	i−1,j	NOUN
ejpam-4031	126	7	−u	−u	PROPN
ejpam-4031	126	8	(	(	PUNCT
ejpam-4031	126	9	k	k	NOUN
ejpam-4031	126	10	)	)	PUNCT
ejpam-4031	126	11	i−1,j	i−1,j	NOUN
ejpam-4031	126	12	)	)	PUNCT
ejpam-4031	126	13	4	4	NUM
ejpam-4031	126	14	,	,	PUNCT
ejpam-4031	126	15	and	and	CCONJ
ejpam-4031	126	16	r(u(k+1	r(u(k+1	NOUN
ejpam-4031	126	17	)	)	PUNCT
ejpam-4031	126	18	i	i	PRON
ejpam-4031	126	19	,	,	PUNCT
ejpam-4031	126	20	j−1−u	j−1−u	CCONJ
ejpam-4031	126	21	(	(	PUNCT
ejpam-4031	126	22	k	k	X
ejpam-4031	126	23	)	)	PUNCT
ejpam-4031	126	24	i	i	PROPN
ejpam-4031	126	25	,	,	PUNCT
ejpam-4031	126	26	j−1	j−1	PROPN
ejpam-4031	126	27	)	)	PUNCT
ejpam-4031	126	28	4	4	NUM
ejpam-4031	127	1	[	[	X
ejpam-4031	127	2	6	6	NUM
ejpam-4031	127	3	]	]	PUNCT
ejpam-4031	127	4	.	.	PUNCT
ejpam-4031	128	1	the	the	DET
ejpam-4031	128	2	coefficient	coefficient	NOUN
ejpam-4031	128	3	is	be	AUX
ejpam-4031	128	4	1	1	NUM
ejpam-4031	128	5	4	4	NUM
ejpam-4031	128	6	,	,	PUNCT
ejpam-4031	128	7	corresponds	correspond	VERB
ejpam-4031	128	8	to	to	ADP
ejpam-4031	128	9	the	the	DET
ejpam-4031	128	10	equation	equation	NOUN
ejpam-4031	128	11	(	(	PUNCT
ejpam-4031	128	12	6	6	NUM
ejpam-4031	128	13	)	)	PUNCT
ejpam-4031	128	14	.	.	PUNCT
ejpam-4031	129	1	u	u	NOUN
ejpam-4031	129	2	(	(	PUNCT
ejpam-4031	129	3	k+1	k+1	NOUN
ejpam-4031	129	4	)	)	PUNCT
ejpam-4031	129	5	ij	ij	NOUN
ejpam-4031	129	6	=	=	SYM
ejpam-4031	129	7	r	r	NOUN
ejpam-4031	129	8	(	(	PUNCT
ejpam-4031	129	9	u	u	NOUN
ejpam-4031	129	10	(	(	PUNCT
ejpam-4031	129	11	k+1	k+1	NOUN
ejpam-4031	129	12	)	)	PUNCT
ejpam-4031	129	13	i−1,j	i−1,j	NOUN
ejpam-4031	129	14	−	−	PROPN
ejpam-4031	129	15	u	u	NOUN
ejpam-4031	129	16	(	(	PUNCT
ejpam-4031	129	17	k	k	NOUN
ejpam-4031	129	18	)	)	PUNCT
ejpam-4031	129	19	i−1,j	i−1,j	NOUN
ejpam-4031	129	20	+	+	CCONJ
ejpam-4031	129	21	u	u	PROPN
ejpam-4031	129	22	(	(	PUNCT
ejpam-4031	129	23	k+1	k+1	NOUN
ejpam-4031	129	24	)	)	PUNCT
ejpam-4031	129	25	i	i	PRON
ejpam-4031	129	26	,	,	PUNCT
ejpam-4031	129	27	j−1	j−1	PROPN
ejpam-4031	129	28	−	−	PROPN
ejpam-4031	129	29	u	u	NOUN
ejpam-4031	129	30	(	(	PUNCT
ejpam-4031	129	31	k	k	NOUN
ejpam-4031	129	32	)	)	PUNCT
ejpam-4031	129	33	i	i	PROPN
ejpam-4031	129	34	,	,	PUNCT
ejpam-4031	129	35	j−1	j−1	PROPN
ejpam-4031	129	36	)	)	PUNCT
ejpam-4031	129	37	4	4	NUM
ejpam-4031	129	38	)	)	PUNCT
ejpam-4031	130	1	+	+	CCONJ
ejpam-4031	130	2	ω	ω	NUM
ejpam-4031	130	3	(	(	PUNCT
ejpam-4031	130	4	u	u	NOUN
ejpam-4031	130	5	(	(	PUNCT
ejpam-4031	130	6	k	k	NOUN
ejpam-4031	130	7	)	)	PUNCT
ejpam-4031	130	8	i−1,j	i−1,j	NOUN
ejpam-4031	130	9	+	+	CCONJ
ejpam-4031	130	10	u	u	PROPN
ejpam-4031	130	11	(	(	PUNCT
ejpam-4031	130	12	k	k	NOUN
ejpam-4031	130	13	)	)	PUNCT
ejpam-4031	130	14	i+1,j	i+1,j	NOUN
ejpam-4031	130	15	+	+	CCONJ
ejpam-4031	130	16	u	u	PROPN
ejpam-4031	130	17	(	(	PUNCT
ejpam-4031	130	18	k	k	NOUN
ejpam-4031	130	19	)	)	PUNCT
ejpam-4031	130	20	i	i	PRON
ejpam-4031	130	21	,	,	PUNCT
ejpam-4031	130	22	j−1	j−1	PROPN
ejpam-4031	130	23	+	+	CCONJ
ejpam-4031	130	24	u	u	PROPN
ejpam-4031	130	25	(	(	PUNCT
ejpam-4031	130	26	k	k	NOUN
ejpam-4031	130	27	)	)	PUNCT
ejpam-4031	130	28	i	i	PRON
ejpam-4031	130	29	,	,	PUNCT
ejpam-4031	130	30	j+1	j+1	PROPN
ejpam-4031	130	31	−	−	PROPN
ejpam-4031	130	32	h2fij	h2fij	NUM
ejpam-4031	130	33	)	)	PUNCT
ejpam-4031	130	34	4	4	NUM
ejpam-4031	130	35	)	)	PUNCT
ejpam-4031	130	36	+	+	CCONJ
ejpam-4031	130	37	(	(	PUNCT
ejpam-4031	130	38	1−	1−	NUM
ejpam-4031	130	39	ω)u(k	ω)u(k	ADJ
ejpam-4031	130	40	)	)	PUNCT
ejpam-4031	130	41	ij	ij	INTJ
ejpam-4031	130	42	.	.	PUNCT
ejpam-4031	131	1	(	(	PUNCT
ejpam-4031	131	2	11	11	NUM
ejpam-4031	131	3	)	)	PUNCT
ejpam-4031	131	4	unlike	unlike	ADP
ejpam-4031	131	5	sor	sor	NOUN
ejpam-4031	131	6	,	,	PUNCT
ejpam-4031	131	7	however	however	ADV
ejpam-4031	131	8	,	,	PUNCT
ejpam-4031	131	9	the	the	DET
ejpam-4031	131	10	optimal	optimal	ADJ
ejpam-4031	131	11	values	value	NOUN
ejpam-4031	131	12	of	of	ADP
ejpam-4031	131	13	r	r	NOUN
ejpam-4031	131	14	and	and	CCONJ
ejpam-4031	131	15	ω	ω	NUM
ejpam-4031	131	16	for	for	ADP
ejpam-4031	131	17	which	which	PRON
ejpam-4031	131	18	the	the	DET
ejpam-4031	131	19	minimum	minimum	ADJ
ejpam-4031	131	20	number	number	NOUN
ejpam-4031	131	21	of	of	ADP
ejpam-4031	131	22	iterations	iteration	NOUN
ejpam-4031	131	23	is	be	AUX
ejpam-4031	131	24	given	give	VERB
ejpam-4031	131	25	are	be	AUX
ejpam-4031	131	26	not	not	PART
ejpam-4031	131	27	generally	generally	ADV
ejpam-4031	131	28	specified	specify	VERB
ejpam-4031	131	29	.	.	PUNCT
ejpam-4031	132	1	according	accord	VERB
ejpam-4031	132	2	to	to	ADP
ejpam-4031	132	3	[	[	X
ejpam-4031	132	4	5	5	NUM
ejpam-4031	132	5	]	]	PUNCT
ejpam-4031	132	6	,	,	PUNCT
ejpam-4031	132	7	the	the	DET
ejpam-4031	132	8	r	r	NOUN
ejpam-4031	132	9	is	be	AUX
ejpam-4031	132	10	typically	typically	ADV
ejpam-4031	132	11	chosen	choose	VERB
ejpam-4031	132	12	to	to	PART
ejpam-4031	132	13	be	be	AUX
ejpam-4031	132	14	close	close	ADJ
ejpam-4031	132	15	to	to	ADP
ejpam-4031	132	16	the	the	DET
ejpam-4031	132	17	ω	ω	NUM
ejpam-4031	132	18	value	value	NOUN
ejpam-4031	132	19	of	of	ADP
ejpam-4031	132	20	the	the	DET
ejpam-4031	132	21	respective	respective	ADJ
ejpam-4031	132	22	sor	sor	NOUN
ejpam-4031	132	23	;	;	PUNCT
ejpam-4031	132	24	then	then	ADV
ejpam-4031	132	25	,	,	PUNCT
ejpam-4031	132	26	a	a	DET
ejpam-4031	132	27	certain	certain	ADJ
ejpam-4031	132	28	ω	ω	NOUN
ejpam-4031	132	29	range	range	NOUN
ejpam-4031	132	30	will	will	AUX
ejpam-4031	132	31	be	be	AUX
ejpam-4031	132	32	executed	execute	VERB
ejpam-4031	132	33	by	by	ADP
ejpam-4031	132	34	the	the	DET
ejpam-4031	132	35	numerical	numerical	ADJ
ejpam-4031	132	36	experiment	experiment	NOUN
ejpam-4031	132	37	.	.	PUNCT
ejpam-4031	133	1	a.m.	a.m.	PROPN
ejpam-4031	134	1	saeed	saeed	PROPN
ejpam-4031	134	2	,	,	PUNCT
ejpam-4031	134	3	n.	n.	PROPN
ejpam-4031	134	4	al	al	PROPN
ejpam-4031	134	5	-	-	PUNCT
ejpam-4031	134	6	harbi	harbi	PROPN
ejpam-4031	134	7	/	/	SYM
ejpam-4031	134	8	eur	eur	PROPN
ejpam-4031	134	9	.	.	PUNCT
ejpam-4031	135	1	j.	j.	PROPN
ejpam-4031	135	2	pure	pure	PROPN
ejpam-4031	135	3	appl	appl	PROPN
ejpam-4031	135	4	.	.	PROPN
ejpam-4031	135	5	math	math	PROPN
ejpam-4031	135	6	,	,	PUNCT
ejpam-4031	135	7	14	14	NUM
ejpam-4031	135	8	(	(	PUNCT
ejpam-4031	135	9	3	3	NUM
ejpam-4031	135	10	)	)	PUNCT
ejpam-4031	135	11	(	(	PUNCT
ejpam-4031	135	12	2021	2021	NUM
ejpam-4031	135	13	)	)	PUNCT
ejpam-4031	135	14	,	,	PUNCT
ejpam-4031	135	15	905	905	NUM
ejpam-4031	135	16	-	-	SYM
ejpam-4031	135	17	914	914	NUM
ejpam-4031	135	18	910	910	NUM
ejpam-4031	135	19	for	for	ADP
ejpam-4031	135	20	the	the	DET
ejpam-4031	135	21	four	four	NUM
ejpam-4031	135	22	-	-	PUNCT
ejpam-4031	135	23	point	point	NOUN
ejpam-4031	135	24	group	group	NOUN
ejpam-4031	135	25	aor	aor	NOUN
ejpam-4031	135	26	method	method	NOUN
ejpam-4031	135	27	,	,	PUNCT
ejpam-4031	135	28	we	we	PRON
ejpam-4031	135	29	can	can	AUX
ejpam-4031	135	30	use	use	VERB
ejpam-4031	135	31	the	the	DET
ejpam-4031	135	32	following	follow	VERB
ejpam-4031	135	33	iterative	iterative	NOUN
ejpam-4031	135	34	scheme	scheme	NOUN
ejpam-4031	135	35	u	u	PROPN
ejpam-4031	135	36	(	(	PUNCT
ejpam-4031	135	37	k+1	k+1	NOUN
ejpam-4031	135	38	)	)	PUNCT
ejpam-4031	135	39	ij	ij	NOUN
ejpam-4031	135	40	=	=	NOUN
ejpam-4031	135	41	1	1	NUM
ejpam-4031	135	42	4[ω(7b1	4[ω(7b1	NUM
ejpam-4031	135	43	+	+	CCONJ
ejpam-4031	135	44	s2	s2	NOUN
ejpam-4031	135	45	+	+	CCONJ
ejpam-4031	135	46	b4	b4	NOUN
ejpam-4031	135	47	)	)	PUNCT
ejpam-4031	135	48	+	+	NUM
ejpam-4031	135	49	r(7t1	r(7t1	X
ejpam-4031	136	1	+	+	CCONJ
ejpam-4031	136	2	2t2	2t2	NUM
ejpam-4031	136	3	)	)	PUNCT
ejpam-4031	136	4	]	]	PUNCT
ejpam-4031	137	1	+	+	CCONJ
ejpam-4031	137	2	(	(	PUNCT
ejpam-4031	137	3	1−	1−	NUM
ejpam-4031	137	4	ω)u(k	ω)u(k	ADJ
ejpam-4031	137	5	)	)	PUNCT
ejpam-4031	137	6	ij	ij	INTJ
ejpam-4031	137	7	,	,	PUNCT
ejpam-4031	137	8	u	u	PROPN
ejpam-4031	137	9	(	(	PUNCT
ejpam-4031	137	10	k+1	k+1	NOUN
ejpam-4031	137	11	)	)	PUNCT
ejpam-4031	137	12	i+1,j	i+1,j	NOUN
ejpam-4031	137	13	=	=	SYM
ejpam-4031	138	1	1	1	NUM
ejpam-4031	138	2	24[ω(7b2	24[ω(7b2	NUM
ejpam-4031	138	3	+	+	NUM
ejpam-4031	138	4	s1	s1	NOUN
ejpam-4031	138	5	+	+	CCONJ
ejpam-4031	138	6	b3	b3	NOUN
ejpam-4031	138	7	)	)	PUNCT
ejpam-4031	138	8	+	+	CCONJ
ejpam-4031	138	9	r(7c4	r(7c4	NUM
ejpam-4031	138	10	+	+	NUM
ejpam-4031	138	11	2t1	2t1	NUM
ejpam-4031	138	12	+	+	CCONJ
ejpam-4031	138	13	c3	c3	PROPN
ejpam-4031	138	14	)	)	PUNCT
ejpam-4031	138	15	]	]	PUNCT
ejpam-4031	139	1	+	+	CCONJ
ejpam-4031	139	2	(	(	PUNCT
ejpam-4031	139	3	1−	1−	NUM
ejpam-4031	139	4	ω)u(k	ω)u(k	ADJ
ejpam-4031	139	5	)	)	PUNCT
ejpam-4031	139	6	i+1,j	i+1,j	NOUN
ejpam-4031	139	7	,	,	PUNCT
ejpam-4031	139	8	u	u	PROPN
ejpam-4031	139	9	(	(	PUNCT
ejpam-4031	139	10	k+1	k+1	NOUN
ejpam-4031	139	11	)	)	PUNCT
ejpam-4031	139	12	i	i	PRON
ejpam-4031	139	13	,	,	PUNCT
ejpam-4031	139	14	j+1	j+1	PROPN
ejpam-4031	139	15	=	=	PUNCT
ejpam-4031	140	1	1	1	NUM
ejpam-4031	140	2	24[ω(7b3	24[ω(7b3	NUM
ejpam-4031	140	3	+	+	CCONJ
ejpam-4031	140	4	s1	s1	NOUN
ejpam-4031	140	5	+	+	CCONJ
ejpam-4031	140	6	b2	b2	NOUN
ejpam-4031	140	7	)	)	PUNCT
ejpam-4031	141	1	+	+	NUM
ejpam-4031	141	2	r(7c3	r(7c3	NOUN
ejpam-4031	141	3	+	+	CCONJ
ejpam-4031	141	4	2t1	2t1	NUM
ejpam-4031	141	5	+	+	CCONJ
ejpam-4031	141	6	c4	c4	NOUN
ejpam-4031	141	7	)	)	PUNCT
ejpam-4031	141	8	]	]	PUNCT
ejpam-4031	142	1	+	+	CCONJ
ejpam-4031	142	2	(	(	PUNCT
ejpam-4031	142	3	1−	1−	NUM
ejpam-4031	142	4	ω)u(k	ω)u(k	NUM
ejpam-4031	142	5	)	)	PUNCT
ejpam-4031	142	6	i	i	PRON
ejpam-4031	142	7	,	,	PUNCT
ejpam-4031	142	8	j+1	j+1	PROPN
ejpam-4031	142	9	,	,	PUNCT
ejpam-4031	142	10	u	u	NOUN
ejpam-4031	142	11	(	(	PUNCT
ejpam-4031	142	12	k+1	k+1	NOUN
ejpam-4031	142	13	)	)	PUNCT
ejpam-4031	142	14	i+1,j+1	i+1,j+1	NOUN
ejpam-4031	142	15	=	=	PUNCT
ejpam-4031	143	1	1	1	NUM
ejpam-4031	143	2	24[ω(7b4	24[ω(7b4	NOUN
ejpam-4031	143	3	+	+	CCONJ
ejpam-4031	143	4	s2	s2	NOUN
ejpam-4031	143	5	+	+	CCONJ
ejpam-4031	143	6	b1	b1	NOUN
ejpam-4031	143	7	)	)	PUNCT
ejpam-4031	143	8	+	+	SYM
ejpam-4031	143	9	r(2t2	r(2t2	NOUN
ejpam-4031	144	1	+	+	CCONJ
ejpam-4031	144	2	t1	t1	NOUN
ejpam-4031	144	3	)	)	PUNCT
ejpam-4031	144	4	]	]	PUNCT
ejpam-4031	145	1	+	+	CCONJ
ejpam-4031	146	1	(	(	PUNCT
ejpam-4031	146	2	1−	1−	NUM
ejpam-4031	146	3	ω)u(k	ω)u(k	NUM
ejpam-4031	146	4	)	)	PUNCT
ejpam-4031	146	5	i	i	PRON
ejpam-4031	146	6	,	,	PUNCT
ejpam-4031	146	7	j+1	j+1	PRON
ejpam-4031	146	8	,	,	PUNCT
ejpam-4031	146	9	(	(	PUNCT
ejpam-4031	146	10	12	12	NUM
ejpam-4031	146	11	)	)	PUNCT
ejpam-4031	147	1	where	where	SCONJ
ejpam-4031	147	2	b1	b1	NOUN
ejpam-4031	147	3	=	=	SYM
ejpam-4031	147	4	u	u	PROPN
ejpam-4031	147	5	(	(	PUNCT
ejpam-4031	147	6	k	k	NOUN
ejpam-4031	147	7	)	)	PUNCT
ejpam-4031	147	8	i	i	PRON
ejpam-4031	147	9	,	,	PUNCT
ejpam-4031	147	10	j−1	j−1	PROPN
ejpam-4031	147	11	+	+	CCONJ
ejpam-4031	147	12	u	u	PROPN
ejpam-4031	147	13	(	(	PUNCT
ejpam-4031	147	14	k	k	NOUN
ejpam-4031	147	15	)	)	PUNCT
ejpam-4031	147	16	i−1,j	i−1,j	NOUN
ejpam-4031	147	17	−	−	PROPN
ejpam-4031	147	18	h	h	NOUN
ejpam-4031	147	19	2fi	2fi	ADJ
ejpam-4031	147	20	,	,	PUNCT
ejpam-4031	147	21	j	j	PROPN
ejpam-4031	147	22	,	,	PUNCT
ejpam-4031	147	23	b2	b2	NOUN
ejpam-4031	147	24	=	=	SYM
ejpam-4031	147	25	u	u	PROPN
ejpam-4031	147	26	(	(	PUNCT
ejpam-4031	147	27	k	k	NOUN
ejpam-4031	147	28	)	)	PUNCT
ejpam-4031	147	29	i+1,j−1	i+1,j−1	NOUN
ejpam-4031	147	30	+	+	CCONJ
ejpam-4031	147	31	u	u	NOUN
ejpam-4031	147	32	(	(	PUNCT
ejpam-4031	147	33	k	k	NOUN
ejpam-4031	147	34	)	)	PUNCT
ejpam-4031	147	35	i+2,j	i+2,j	NOUN
ejpam-4031	147	36	−	−	NOUN
ejpam-4031	147	37	h	h	NOUN
ejpam-4031	147	38	2fi+1,j	2fi+1,j	NOUN
ejpam-4031	147	39	,	,	PUNCT
ejpam-4031	147	40	b3	b3	PROPN
ejpam-4031	147	41	=	=	SYM
ejpam-4031	147	42	u	u	PROPN
ejpam-4031	147	43	(	(	PUNCT
ejpam-4031	147	44	k	k	NOUN
ejpam-4031	147	45	)	)	PUNCT
ejpam-4031	147	46	i−1,j−1	i−1,j−1	PROPN
ejpam-4031	147	47	+	+	NUM
ejpam-4031	147	48	u	u	NOUN
ejpam-4031	147	49	(	(	PUNCT
ejpam-4031	147	50	k	k	NOUN
ejpam-4031	147	51	)	)	PUNCT
ejpam-4031	147	52	i	i	PRON
ejpam-4031	147	53	,	,	PUNCT
ejpam-4031	147	54	j+2	j+2	PROPN
ejpam-4031	147	55	−	−	PROPN
ejpam-4031	147	56	h	h	NOUN
ejpam-4031	147	57	2fi	2fi	ADJ
ejpam-4031	147	58	,	,	PUNCT
ejpam-4031	147	59	j+1	j+1	NOUN
ejpam-4031	147	60	,	,	PUNCT
ejpam-4031	147	61	b4	b4	NOUN
ejpam-4031	147	62	=	=	SYM
ejpam-4031	147	63	u	u	PROPN
ejpam-4031	147	64	(	(	PUNCT
ejpam-4031	147	65	k	k	NOUN
ejpam-4031	147	66	)	)	PUNCT
ejpam-4031	147	67	i+1,j+2	i+1,j+2	VERB
ejpam-4031	147	68	+	+	CCONJ
ejpam-4031	147	69	u	u	NOUN
ejpam-4031	147	70	(	(	PUNCT
ejpam-4031	147	71	k	k	NOUN
ejpam-4031	147	72	)	)	PUNCT
ejpam-4031	147	73	i+2,j+1	i+2,j+1	NOUN
ejpam-4031	148	1	−	−	PROPN
ejpam-4031	148	2	h	h	NOUN
ejpam-4031	148	3	2fi+1,j+1	2fi+1,j+1	PROPN
ejpam-4031	148	4	,	,	PUNCT
ejpam-4031	148	5	c1	c1	NOUN
ejpam-4031	148	6	=	=	PROPN
ejpam-4031	148	7	u	u	PROPN
ejpam-4031	148	8	(	(	PUNCT
ejpam-4031	148	9	k+1	k+1	NOUN
ejpam-4031	148	10	)	)	PUNCT
ejpam-4031	148	11	i−1,j	i−1,j	NOUN
ejpam-4031	148	12	+	+	CCONJ
ejpam-4031	148	13	u	u	PROPN
ejpam-4031	148	14	(	(	PUNCT
ejpam-4031	148	15	k	k	NOUN
ejpam-4031	148	16	)	)	PUNCT
ejpam-4031	148	17	i−1,j	i−1,j	NOUN
ejpam-4031	148	18	,	,	PUNCT
ejpam-4031	148	19	c2	c2	PROPN
ejpam-4031	148	20	=	=	SYM
ejpam-4031	148	21	u	u	PROPN
ejpam-4031	148	22	(	(	PUNCT
ejpam-4031	148	23	k+1	k+1	NOUN
ejpam-4031	148	24	)	)	PUNCT
ejpam-4031	148	25	i	i	PRON
ejpam-4031	148	26	,	,	PUNCT
ejpam-4031	148	27	j−1	j−1	PROPN
ejpam-4031	148	28	+	+	CCONJ
ejpam-4031	148	29	u	u	PROPN
ejpam-4031	148	30	(	(	PUNCT
ejpam-4031	148	31	k	k	NOUN
ejpam-4031	148	32	)	)	PUNCT
ejpam-4031	148	33	i	i	PROPN
ejpam-4031	148	34	,	,	PUNCT
ejpam-4031	148	35	j−1	j−1	PROPN
ejpam-4031	148	36	,	,	PUNCT
ejpam-4031	148	37	c3	c3	NOUN
ejpam-4031	148	38	=	=	SYM
ejpam-4031	148	39	u	u	PROPN
ejpam-4031	148	40	(	(	PUNCT
ejpam-4031	148	41	k+1	k+1	NOUN
ejpam-4031	148	42	)	)	PUNCT
ejpam-4031	148	43	i−1,j+1	i−1,j+1	NOUN
ejpam-4031	148	44	+	+	CCONJ
ejpam-4031	148	45	u	u	NOUN
ejpam-4031	148	46	(	(	PUNCT
ejpam-4031	148	47	k	k	NOUN
ejpam-4031	148	48	)	)	PUNCT
ejpam-4031	148	49	i−1,j+1	i−1,j+1	NOUN
ejpam-4031	148	50	,	,	PUNCT
ejpam-4031	148	51	c4	c4	NOUN
ejpam-4031	148	52	=	=	SYM
ejpam-4031	148	53	u	u	PROPN
ejpam-4031	148	54	(	(	PUNCT
ejpam-4031	148	55	k+1	k+1	NOUN
ejpam-4031	148	56	)	)	PUNCT
ejpam-4031	148	57	i+1,j−1	i+1,j−1	NOUN
ejpam-4031	149	1	+	+	CCONJ
ejpam-4031	149	2	u	u	NOUN
ejpam-4031	149	3	(	(	PUNCT
ejpam-4031	149	4	k	k	NOUN
ejpam-4031	149	5	)	)	PUNCT
ejpam-4031	149	6	i+1,j−1	i+1,j−1	PROPN
ejpam-4031	149	7	,	,	PUNCT
ejpam-4031	149	8	s1	s1	NOUN
ejpam-4031	149	9	=	=	PUNCT
ejpam-4031	149	10	2(b1	2(b1	NUM
ejpam-4031	149	11	+	+	CCONJ
ejpam-4031	149	12	b4	b4	NOUN
ejpam-4031	149	13	)	)	PUNCT
ejpam-4031	149	14	,	,	PUNCT
ejpam-4031	149	15	s2	s2	NOUN
ejpam-4031	149	16	=	=	PUNCT
ejpam-4031	149	17	2(b2	2(b2	PROPN
ejpam-4031	149	18	+	+	NUM
ejpam-4031	149	19	b3	b3	NOUN
ejpam-4031	149	20	)	)	PUNCT
ejpam-4031	149	21	,	,	PUNCT
ejpam-4031	149	22	t1	t1	NOUN
ejpam-4031	149	23	=	=	PROPN
ejpam-4031	149	24	c1	c1	PROPN
ejpam-4031	149	25	+	+	CCONJ
ejpam-4031	149	26	c2	c2	PROPN
ejpam-4031	149	27	,	,	PUNCT
ejpam-4031	149	28	t2	t2	NOUN
ejpam-4031	149	29	=	=	SYM
ejpam-4031	149	30	c3	c3	PROPN
ejpam-4031	149	31	+	+	CCONJ
ejpam-4031	149	32	c4	c4	NOUN
ejpam-4031	149	33	.	.	PUNCT
ejpam-4031	150	1	4	4	X
ejpam-4031	150	2	.	.	NOUN
ejpam-4031	150	3	numerical	numerical	ADJ
ejpam-4031	150	4	experiments	experiment	NOUN
ejpam-4031	150	5	and	and	CCONJ
ejpam-4031	150	6	results	result	NOUN
ejpam-4031	150	7	in	in	ADP
ejpam-4031	150	8	order	order	NOUN
ejpam-4031	150	9	to	to	PART
ejpam-4031	150	10	compare	compare	VERB
ejpam-4031	150	11	the	the	DET
ejpam-4031	150	12	standard	standard	ADJ
ejpam-4031	150	13	five	five	NUM
ejpam-4031	150	14	-	-	PUNCT
ejpam-4031	150	15	point	point	NOUN
ejpam-4031	150	16	and	and	CCONJ
ejpam-4031	150	17	four	four	NUM
ejpam-4031	150	18	-	-	PUNCT
ejpam-4031	150	19	point	point	NOUN
ejpam-4031	150	20	group	group	NOUN
ejpam-4031	150	21	sor	sor	NOUN
ejpam-4031	150	22	iterative	iterative	NOUN
ejpam-4031	150	23	methods	method	NOUN
ejpam-4031	150	24	,	,	PUNCT
ejpam-4031	150	25	some	some	DET
ejpam-4031	150	26	numerical	numerical	ADJ
ejpam-4031	150	27	experiments	experiment	NOUN
ejpam-4031	150	28	have	have	AUX
ejpam-4031	150	29	been	be	AUX
ejpam-4031	150	30	performed	perform	VERB
ejpam-4031	150	31	.	.	PUNCT
ejpam-4031	151	1	these	these	DET
ejpam-4031	151	2	methods	method	NOUN
ejpam-4031	151	3	were	be	AUX
ejpam-4031	151	4	implemented	implement	VERB
ejpam-4031	151	5	to	to	ADP
ejpam-4031	151	6	poisson	poisson	NOUN
ejpam-4031	151	7	equation	equation	NOUN
ejpam-4031	151	8	,	,	PUNCT
ejpam-4031	151	9	∇2u	∇2u	PROPN
ejpam-4031	151	10	=	=	PUNCT
ejpam-4031	151	11	∂2u	∂2u	PROPN
ejpam-4031	151	12	∂x2	∂x2	PROPN
ejpam-4031	151	13	+	+	CCONJ
ejpam-4031	151	14	∂2u	∂2u	ADJ
ejpam-4031	151	15	∂y2	∂y2	X
ejpam-4031	151	16	=	=	PUNCT
ejpam-4031	151	17	(	(	PUNCT
ejpam-4031	151	18	x2	x2	PROPN
ejpam-4031	151	19	+	+	NUM
ejpam-4031	151	20	y2)exy	y2)exy	PROPN
ejpam-4031	151	21	,	,	PUNCT
ejpam-4031	151	22	(	(	PUNCT
ejpam-4031	151	23	13	13	NUM
ejpam-4031	151	24	)	)	PUNCT
ejpam-4031	151	25	with	with	ADP
ejpam-4031	151	26	u(x	u(x	NOUN
ejpam-4031	151	27	,	,	PUNCT
ejpam-4031	151	28	0	0	NUM
ejpam-4031	151	29	)	)	PUNCT
ejpam-4031	152	1	=	=	SYM
ejpam-4031	152	2	u(0	u(0	PROPN
ejpam-4031	152	3	,	,	PUNCT
ejpam-4031	152	4	y	y	PROPN
ejpam-4031	152	5	)	)	PUNCT
ejpam-4031	152	6	=	=	SYM
ejpam-4031	152	7	1	1	NUM
ejpam-4031	152	8	,	,	PUNCT
ejpam-4031	152	9	u(x	u(x	NOUN
ejpam-4031	152	10	,	,	PUNCT
ejpam-4031	152	11	1	1	NUM
ejpam-4031	152	12	)	)	PUNCT
ejpam-4031	152	13	=	=	SYM
ejpam-4031	152	14	ex	ex	X
ejpam-4031	152	15	,	,	PUNCT
ejpam-4031	152	16	u(1	u(1	PROPN
ejpam-4031	152	17	,	,	PUNCT
ejpam-4031	152	18	y	y	PROPN
ejpam-4031	152	19	)	)	PUNCT
ejpam-4031	152	20	=	=	SYM
ejpam-4031	153	1	ey	ey	NOUN
ejpam-4031	153	2	,	,	PUNCT
ejpam-4031	153	3	0	0	NUM
ejpam-4031	153	4	≤	≤	NUM
ejpam-4031	153	5	x	x	X
ejpam-4031	153	6	,	,	PUNCT
ejpam-4031	153	7	y	y	PROPN
ejpam-4031	153	8	≤	≤	PROPN
ejpam-4031	153	9	1	1	NUM
ejpam-4031	153	10	.	.	PUNCT
ejpam-4031	154	1	the	the	DET
ejpam-4031	154	2	exact	exact	ADJ
ejpam-4031	154	3	solution	solution	NOUN
ejpam-4031	154	4	for	for	ADP
ejpam-4031	154	5	this	this	DET
ejpam-4031	154	6	problem	problem	NOUN
ejpam-4031	154	7	is	be	AUX
ejpam-4031	154	8	u(x	u(x	NOUN
ejpam-4031	154	9	,	,	PUNCT
ejpam-4031	154	10	y	y	NOUN
ejpam-4031	154	11	)	)	PUNCT
ejpam-4031	154	12	=	=	PUNCT
ejpam-4031	154	13	exy	exy	ADJ
ejpam-4031	154	14	.	.	PUNCT
ejpam-4031	155	1	in	in	ADP
ejpam-4031	155	2	this	this	DET
ejpam-4031	155	3	experimental	experimental	ADJ
ejpam-4031	155	4	work	work	NOUN
ejpam-4031	155	5	,	,	PUNCT
ejpam-4031	155	6	we	we	PRON
ejpam-4031	155	7	choose	choose	VERB
ejpam-4031	155	8	the	the	DET
ejpam-4031	155	9	value	value	NOUN
ejpam-4031	155	10	of	of	ADP
ejpam-4031	155	11	tolerance	tolerance	NOUN
ejpam-4031	155	12	ε	ε	PROPN
ejpam-4031	155	13	=	=	SYM
ejpam-4031	155	14	10−5	10−5	NUM
ejpam-4031	155	15	.	.	PUNCT
ejpam-4031	156	1	the	the	DET
ejpam-4031	156	2	computer	computer	NOUN
ejpam-4031	156	3	processing	processing	NOUN
ejpam-4031	156	4	unit	unit	NOUN
ejpam-4031	156	5	was	be	AUX
ejpam-4031	156	6	intel(r	intel(r	NOUN
ejpam-4031	156	7	)	)	PUNCT
ejpam-4031	156	8	core(tm	core(tm	NOUN
ejpam-4031	156	9	)	)	PUNCT
ejpam-4031	156	10	i77500u	i77500u	VERB
ejpam-4031	156	11	cpu	cpu	NOUN
ejpam-4031	156	12	with	with	ADP
ejpam-4031	156	13	a	a	DET
ejpam-4031	156	14	memory	memory	NOUN
ejpam-4031	156	15	of	of	ADP
ejpam-4031	156	16	8	8	NUM
ejpam-4031	156	17	gb	gb	NOUN
ejpam-4031	156	18	and	and	CCONJ
ejpam-4031	156	19	the	the	DET
ejpam-4031	156	20	software	software	NOUN
ejpam-4031	156	21	used	use	VERB
ejpam-4031	156	22	to	to	PART
ejpam-4031	156	23	implement	implement	VERB
ejpam-4031	156	24	and	and	CCONJ
ejpam-4031	156	25	generate	generate	VERB
ejpam-4031	156	26	the	the	DET
ejpam-4031	156	27	results	result	NOUN
ejpam-4031	156	28	was	be	AUX
ejpam-4031	156	29	matlab	matlab	PROPN
ejpam-4031	156	30	.	.	PUNCT
ejpam-4031	157	1	we	we	PRON
ejpam-4031	157	2	have	have	AUX
ejpam-4031	157	3	computed	compute	VERB
ejpam-4031	157	4	the	the	DET
ejpam-4031	157	5	average	average	ADJ
ejpam-4031	157	6	absolute	absolute	ADJ
ejpam-4031	157	7	errors	error	NOUN
ejpam-4031	157	8	and	and	CCONJ
ejpam-4031	157	9	record	record	VERB
ejpam-4031	157	10	the	the	DET
ejpam-4031	157	11	number	number	NOUN
ejpam-4031	157	12	of	of	ADP
ejpam-4031	157	13	iterations	iteration	NOUN
ejpam-4031	157	14	for	for	ADP
ejpam-4031	157	15	convergence	convergence	NOUN
ejpam-4031	157	16	for	for	ADP
ejpam-4031	157	17	different	different	ADJ
ejpam-4031	157	18	sizes	size	NOUN
ejpam-4031	157	19	of	of	ADP
ejpam-4031	157	20	grids	grid	NOUN
ejpam-4031	157	21	.	.	PUNCT
ejpam-4031	158	1	due	due	ADP
ejpam-4031	158	2	to	to	ADP
ejpam-4031	158	3	the	the	DET
ejpam-4031	158	4	matlab	matlab	PROPN
ejpam-4031	158	5	program	program	PROPN
ejpam-4031	158	6	’s	’s	PART
ejpam-4031	158	7	use	use	NOUN
ejpam-4031	158	8	,	,	PUNCT
ejpam-4031	158	9	a	a	DET
ejpam-4031	158	10	larger	large	ADJ
ejpam-4031	158	11	number	number	NOUN
ejpam-4031	158	12	of	of	ADP
ejpam-4031	158	13	processors	processor	NOUN
ejpam-4031	158	14	were	be	AUX
ejpam-4031	158	15	used	use	VERB
ejpam-4031	158	16	in	in	ADP
ejpam-4031	158	17	this	this	DET
ejpam-4031	158	18	experiment	experiment	NOUN
ejpam-4031	158	19	12	12	NUM
ejpam-4031	158	20	,	,	PUNCT
ejpam-4031	158	21	46	46	NUM
ejpam-4031	158	22	,	,	PUNCT
ejpam-4031	158	23	86	86	NUM
ejpam-4031	158	24	,	,	PUNCT
ejpam-4031	158	25	106	106	NUM
ejpam-4031	158	26	,	,	PUNCT
ejpam-4031	158	27	146	146	NUM
ejpam-4031	158	28	,	,	PUNCT
ejpam-4031	158	29	186	186	NUM
ejpam-4031	158	30	,	,	PUNCT
ejpam-4031	158	31	226	226	NUM
ejpam-4031	158	32	,	,	PUNCT
ejpam-4031	158	33	350	350	NUM
ejpam-4031	158	34	,	,	PUNCT
ejpam-4031	158	35	and	and	CCONJ
ejpam-4031	158	36	426	426	NUM
ejpam-4031	158	37	.	.	PUNCT
ejpam-4031	158	38	table	table	NOUN
ejpam-4031	158	39	1	1	NUM
ejpam-4031	158	40	represents	represent	VERB
ejpam-4031	158	41	the	the	DET
ejpam-4031	158	42	comparison	comparison	NOUN
ejpam-4031	158	43	of	of	ADP
ejpam-4031	158	44	s5	s5	PROPN
ejpam-4031	158	45	and	and	CCONJ
ejpam-4031	158	46	4	4	NUM
ejpam-4031	158	47	-	-	PUNCT
ejpam-4031	158	48	point	point	NOUN
ejpam-4031	158	49	egsor	egsor	NOUN
ejpam-4031	158	50	,	,	PUNCT
ejpam-4031	158	51	and	and	CCONJ
ejpam-4031	158	52	table	table	NOUN
ejpam-4031	158	53	2	2	NUM
ejpam-4031	158	54	represents	represent	VERB
ejpam-4031	158	55	the	the	DET
ejpam-4031	158	56	comparison	comparison	NOUN
ejpam-4031	158	57	of	of	ADP
ejpam-4031	158	58	s5	s5	PROPN
ejpam-4031	158	59	and	and	CCONJ
ejpam-4031	158	60	4	4	NUM
ejpam-4031	158	61	-	-	PUNCT
ejpam-4031	158	62	point	point	NOUN
ejpam-4031	158	63	egaor	egaor	NOUN
ejpam-4031	158	64	,	,	PUNCT
ejpam-4031	159	1	where	where	SCONJ
ejpam-4031	159	2	n	n	CCONJ
ejpam-4031	159	3	the	the	DET
ejpam-4031	159	4	number	number	NOUN
ejpam-4031	159	5	of	of	ADP
ejpam-4031	159	6	squares	square	NOUN
ejpam-4031	159	7	,	,	PUNCT
ejpam-4031	159	8	ω	ω	NUM
ejpam-4031	159	9	the	the	DET
ejpam-4031	159	10	sor	sor	NOUN
ejpam-4031	159	11	parameter	parameter	NOUN
ejpam-4031	159	12	,	,	PUNCT
ejpam-4031	159	13	r	r	NOUN
ejpam-4031	159	14	the	the	DET
ejpam-4031	159	15	second	second	ADJ
ejpam-4031	159	16	parameter	parameter	NOUN
ejpam-4031	159	17	of	of	ADP
ejpam-4031	159	18	aor	aor	PROPN
ejpam-4031	159	19	,	,	PUNCT
ejpam-4031	159	20	k	k	PROPN
ejpam-4031	159	21	the	the	DET
ejpam-4031	159	22	number	number	NOUN
ejpam-4031	159	23	of	of	ADP
ejpam-4031	159	24	iterations	iteration	NOUN
ejpam-4031	159	25	,	,	PUNCT
ejpam-4031	159	26	e	e	X
ejpam-4031	159	27	the	the	DET
ejpam-4031	159	28	maximum	maximum	ADJ
ejpam-4031	159	29	errors	error	NOUN
ejpam-4031	159	30	and	and	CCONJ
ejpam-4031	159	31	t	t	PROPN
ejpam-4031	159	32	represents	represent	VERB
ejpam-4031	159	33	cpu	cpu	ADJ
ejpam-4031	159	34	time	time	NOUN
ejpam-4031	159	35	.	.	PUNCT
ejpam-4031	160	1	the	the	DET
ejpam-4031	160	2	convergence	convergence	NOUN
ejpam-4031	160	3	of	of	ADP
ejpam-4031	160	4	the	the	DET
ejpam-4031	160	5	iteration	iteration	NOUN
ejpam-4031	160	6	methods	method	NOUN
ejpam-4031	160	7	relies	rely	VERB
ejpam-4031	160	8	on	on	ADP
ejpam-4031	160	9	the	the	DET
ejpam-4031	160	10	spectral	spectral	ADJ
ejpam-4031	160	11	radius	radius	NOUN
ejpam-4031	160	12	,	,	PUNCT
ejpam-4031	160	13	which	which	PRON
ejpam-4031	160	14	is	be	AUX
ejpam-4031	160	15	defined	define	VERB
ejpam-4031	160	16	as	as	ADP
ejpam-4031	160	17	the	the	DET
ejpam-4031	160	18	largest	large	ADJ
ejpam-4031	160	19	of	of	ADP
ejpam-4031	160	20	the	the	DET
ejpam-4031	160	21	moduli	modulus	NOUN
ejpam-4031	160	22	of	of	ADP
ejpam-4031	160	23	the	the	DET
ejpam-4031	160	24	iteration	iteration	NOUN
ejpam-4031	160	25	matrix	matrix	NOUN
ejpam-4031	160	26	’s	’s	PART
ejpam-4031	160	27	eigenvalues	eigenvalue	NOUN
ejpam-4031	160	28	.	.	PUNCT
ejpam-4031	161	1	it	it	PRON
ejpam-4031	161	2	is	be	AUX
ejpam-4031	161	3	stated	state	VERB
ejpam-4031	161	4	and	and	CCONJ
ejpam-4031	161	5	proven	prove	VERB
ejpam-4031	161	6	that	that	SCONJ
ejpam-4031	161	7	a	a	DET
ejpam-4031	161	8	linear	linear	ADJ
ejpam-4031	161	9	system	system	NOUN
ejpam-4031	161	10	with	with	ADP
ejpam-4031	161	11	a	a	DET
ejpam-4031	161	12	smaller	small	ADJ
ejpam-4031	161	13	spectral	spectral	ADJ
ejpam-4031	161	14	radius	radius	NOUN
ejpam-4031	161	15	will	will	AUX
ejpam-4031	161	16	have	have	VERB
ejpam-4031	161	17	a	a	DET
ejpam-4031	161	18	better	well	ADJ
ejpam-4031	161	19	convergence	convergence	NOUN
ejpam-4031	161	20	rate	rate	NOUN
ejpam-4031	162	1	[	[	X
ejpam-4031	162	2	6	6	NUM
ejpam-4031	162	3	]	]	PUNCT
ejpam-4031	162	4	.	.	PUNCT
ejpam-4031	163	1	therefore	therefore	ADV
ejpam-4031	163	2	,	,	PUNCT
ejpam-4031	163	3	the	the	DET
ejpam-4031	163	4	spectral	spectral	ADJ
ejpam-4031	163	5	radius	radius	NOUN
ejpam-4031	163	6	of	of	ADP
ejpam-4031	163	7	the	the	DET
ejpam-4031	163	8	resulted	resulted	ADJ
ejpam-4031	163	9	iteration	iteration	NOUN
ejpam-4031	163	10	matrices	matrix	NOUN
ejpam-4031	163	11	was	be	AUX
ejpam-4031	163	12	calculated	calculate	VERB
ejpam-4031	163	13	through	through	ADP
ejpam-4031	163	14	these	these	DET
ejpam-4031	163	15	numerical	numerical	ADJ
ejpam-4031	163	16	experiments	experiment	NOUN
ejpam-4031	163	17	to	to	PART
ejpam-4031	163	18	verify	verify	VERB
ejpam-4031	163	19	that	that	SCONJ
ejpam-4031	163	20	the	the	DET
ejpam-4031	163	21	superior	superior	ADJ
ejpam-4031	163	22	iterative	iterative	NOUN
ejpam-4031	163	23	method	method	NOUN
ejpam-4031	163	24	has	have	VERB
ejpam-4031	163	25	the	the	DET
ejpam-4031	163	26	smallest	small	ADJ
ejpam-4031	163	27	spectral	spectral	ADJ
ejpam-4031	163	28	radius	radius	NOUN
ejpam-4031	163	29	.	.	PUNCT
ejpam-4031	164	1	we	we	PRON
ejpam-4031	164	2	can	can	AUX
ejpam-4031	164	3	also	also	ADV
ejpam-4031	164	4	observe	observe	VERB
ejpam-4031	164	5	that	that	SCONJ
ejpam-4031	164	6	the	the	DET
ejpam-4031	164	7	resulted	resulted	ADJ
ejpam-4031	164	8	spectral	spectral	ADJ
ejpam-4031	164	9	radius	radius	NOUN
ejpam-4031	164	10	of	of	ADP
ejpam-4031	164	11	all	all	DET
ejpam-4031	164	12	methods	method	NOUN
ejpam-4031	164	13	used	use	VERB
ejpam-4031	164	14	is	be	AUX
ejpam-4031	164	15	strictly	strictly	ADV
ejpam-4031	164	16	less	less	ADJ
ejpam-4031	164	17	a.m.	a.m.	NOUN
ejpam-4031	165	1	saeed	saeed	PROPN
ejpam-4031	165	2	,	,	PUNCT
ejpam-4031	165	3	n.	n.	PROPN
ejpam-4031	165	4	al	al	PROPN
ejpam-4031	165	5	-	-	PUNCT
ejpam-4031	165	6	harbi	harbi	PROPN
ejpam-4031	165	7	/	/	SYM
ejpam-4031	165	8	eur	eur	PROPN
ejpam-4031	165	9	.	.	PUNCT
ejpam-4031	166	1	j.	j.	PROPN
ejpam-4031	166	2	pure	pure	PROPN
ejpam-4031	166	3	appl	appl	PROPN
ejpam-4031	166	4	.	.	PROPN
ejpam-4031	166	5	math	math	PROPN
ejpam-4031	166	6	,	,	PUNCT
ejpam-4031	166	7	14	14	NUM
ejpam-4031	166	8	(	(	PUNCT
ejpam-4031	166	9	3	3	NUM
ejpam-4031	166	10	)	)	PUNCT
ejpam-4031	166	11	(	(	PUNCT
ejpam-4031	166	12	2021	2021	NUM
ejpam-4031	166	13	)	)	PUNCT
ejpam-4031	166	14	,	,	PUNCT
ejpam-4031	166	15	905	905	NUM
ejpam-4031	166	16	-	-	SYM
ejpam-4031	166	17	914	914	NUM
ejpam-4031	166	18	911	911	NUM
ejpam-4031	166	19	than	than	ADP
ejpam-4031	166	20	1	1	NUM
ejpam-4031	166	21	which	which	PRON
ejpam-4031	166	22	coincides	coincide	VERB
ejpam-4031	166	23	with	with	ADP
ejpam-4031	166	24	the	the	DET
ejpam-4031	166	25	theoretical	theoretical	ADJ
ejpam-4031	166	26	parts	part	NOUN
ejpam-4031	166	27	and	and	CCONJ
ejpam-4031	166	28	previous	previous	ADJ
ejpam-4031	166	29	studies	study	NOUN
ejpam-4031	166	30	.	.	PUNCT
ejpam-4031	167	1	through	through	ADP
ejpam-4031	167	2	the	the	DET
ejpam-4031	167	3	figures	figure	NOUN
ejpam-4031	167	4	1,2	1,2	NUM
ejpam-4031	167	5	and	and	CCONJ
ejpam-4031	167	6	3	3	NUM
ejpam-4031	167	7	,	,	PUNCT
ejpam-4031	167	8	it	it	PRON
ejpam-4031	167	9	becomes	become	VERB
ejpam-4031	167	10	clear	clear	ADJ
ejpam-4031	167	11	the	the	DET
ejpam-4031	167	12	progress	progress	NOUN
ejpam-4031	167	13	of	of	ADP
ejpam-4031	167	14	the	the	DET
ejpam-4031	167	15	four	four	NUM
ejpam-4031	167	16	-	-	PUNCT
ejpam-4031	167	17	point	point	NOUN
ejpam-4031	167	18	egaor	egaor	ADJ
ejpam-4031	167	19	iterative	iterative	NOUN
ejpam-4031	167	20	method	method	NOUN
ejpam-4031	167	21	in	in	ADP
ejpam-4031	167	22	reducing	reduce	VERB
ejpam-4031	167	23	time	time	NOUN
ejpam-4031	167	24	and	and	CCONJ
ejpam-4031	167	25	number	number	NOUN
ejpam-4031	167	26	of	of	ADP
ejpam-4031	167	27	iteration	iteration	NOUN
ejpam-4031	167	28	among	among	ADP
ejpam-4031	167	29	the	the	DET
ejpam-4031	167	30	other	other	ADJ
ejpam-4031	167	31	studied	study	VERB
ejpam-4031	167	32	methods	method	NOUN
ejpam-4031	167	33	.	.	PUNCT
ejpam-4031	168	1	table	table	NOUN
ejpam-4031	168	2	1	1	NUM
ejpam-4031	168	3	:	:	PUNCT
ejpam-4031	168	4	comparison	comparison	NOUN
ejpam-4031	168	5	of	of	ADP
ejpam-4031	168	6	standard	standard	ADJ
ejpam-4031	168	7	five	five	NUM
ejpam-4031	168	8	-	-	PUNCT
ejpam-4031	168	9	point	point	NOUN
ejpam-4031	168	10	and	and	CCONJ
ejpam-4031	168	11	four	four	NUM
ejpam-4031	168	12	-	-	PUNCT
ejpam-4031	168	13	point	point	NOUN
ejpam-4031	168	14	egsor	egsor	NOUN
ejpam-4031	168	15	iterative	iterative	NOUN
ejpam-4031	168	16	methods	method	NOUN
ejpam-4031	168	17	.	.	PUNCT
ejpam-4031	169	1	standard	standard	ADJ
ejpam-4031	169	2	five	five	NUM
ejpam-4031	169	3	-	-	PUNCT
ejpam-4031	169	4	point	point	NOUN
ejpam-4031	169	5	four	four	NUM
ejpam-4031	169	6	-	-	PUNCT
ejpam-4031	169	7	point	point	NOUN
ejpam-4031	169	8	group	group	NOUN
ejpam-4031	169	9	(	(	PUNCT
ejpam-4031	169	10	sor	sor	NOUN
ejpam-4031	169	11	)	)	PUNCT
ejpam-4031	169	12	n	n	PROPN
ejpam-4031	169	13	ω	ω	NUM
ejpam-4031	169	14	k	k	PROPN
ejpam-4031	169	15	t	t	PROPN
ejpam-4031	169	16	ρ(j	ρ(j	PROPN
ejpam-4031	169	17	)	)	PUNCT
ejpam-4031	170	1	e	e	PROPN
ejpam-4031	170	2	ω	ω	PROPN
ejpam-4031	170	3	k	k	PROPN
ejpam-4031	170	4	t	t	PROPN
ejpam-4031	170	5	ρ(j	ρ(j	PROPN
ejpam-4031	170	6	)	)	PUNCT
ejpam-4031	170	7	e	e	NOUN
ejpam-4031	170	8	12	12	NUM
ejpam-4031	170	9	1.5604	1.5604	NUM
ejpam-4031	170	10	30	30	NUM
ejpam-4031	170	11	0.0076	0.0076	NUM
ejpam-4031	170	12	0.9595	0.9595	NUM
ejpam-4031	171	1	6.2000e−	6.2000e−	NUM
ejpam-4031	171	2	06	06	NUM
ejpam-4031	171	3	1.3520	1.3520	NUM
ejpam-4031	171	4	22	22	NUM
ejpam-4031	171	5	0.021156	0.021156	NUM
ejpam-4031	171	6	0.9184	0.9184	NUM
ejpam-4031	171	7	6.2312e−	6.2312e−	NUM
ejpam-4031	171	8	06	06	NUM
ejpam-4031	171	9	46	46	NUM
ejpam-4031	171	10	1.8696	1.8696	NUM
ejpam-4031	171	11	108	108	NUM
ejpam-4031	171	12	0.0460	0.0460	NUM
ejpam-4031	171	13	0.9976	0.9976	NUM
ejpam-4031	171	14	8.6000e−	8.6000e−	NUM
ejpam-4031	171	15	06	06	NUM
ejpam-4031	172	1	1.7846	1.7846	NUM
ejpam-4031	172	2	76	76	NUM
ejpam-4031	172	3	0.040845	0.040845	NUM
ejpam-4031	172	4	0.9951	0.9951	NUM
ejpam-4031	172	5	9.6553e−	9.6553e−	NUM
ejpam-4031	172	6	06	06	NUM
ejpam-4031	172	7	86	86	NUM
ejpam-4031	172	8	1.9287	1.9287	NUM
ejpam-4031	172	9	196	196	NUM
ejpam-4031	172	10	0.1747	0.1747	NUM
ejpam-4031	172	11	0.9993	0.9993	NUM
ejpam-4031	172	12	9.5000e−	9.5000e−	NUM
ejpam-4031	172	13	06	06	NUM
ejpam-4031	172	14	1.8797	1.8797	NUM
ejpam-4031	172	15	138	138	NUM
ejpam-4031	172	16	0.106233	0.106233	NUM
ejpam-4031	172	17	0.9986	0.9986	NUM
ejpam-4031	172	18	9.3103e−	9.3103e−	NUM
ejpam-4031	172	19	06	06	NUM
ejpam-4031	172	20	106	106	NUM
ejpam-4031	172	21	1.9419	1.9419	NUM
ejpam-4031	172	22	239	239	NUM
ejpam-4031	172	23	0.3154	0.3154	NUM
ejpam-4031	172	24	0.9996	0.9996	NUM
ejpam-4031	172	25	9.7000e−	9.7000e−	NUM
ejpam-4031	172	26	06	06	NUM
ejpam-4031	172	27	1.9015	1.9015	NUM
ejpam-4031	172	28	169	169	NUM
ejpam-4031	172	29	0.174041	0.174041	NUM
ejpam-4031	172	30	0.9991	0.9991	NUM
ejpam-4031	172	31	8.1532e−	8.1532e−	NUM
ejpam-4031	172	32	06	06	NUM
ejpam-4031	172	33	146	146	NUM
ejpam-4031	172	34	1.9576	1.9576	NUM
ejpam-4031	172	35	323	323	NUM
ejpam-4031	172	36	0.4282	0.4282	NUM
ejpam-4031	172	37	0.9998	0.9998	NUM
ejpam-4031	172	38	9.8000e−	9.8000e−	NUM
ejpam-4031	172	39	06	06	NUM
ejpam-4031	173	1	1.9277	1.9277	NUM
ejpam-4031	173	2	227	227	NUM
ejpam-4031	173	3	0.181077	0.181077	NUM
ejpam-4031	173	4	0.9995	0.9995	NUM
ejpam-4031	173	5	9.1567e−	9.1567e−	NUM
ejpam-4031	173	6	06	06	NUM
ejpam-4031	173	7	186	186	NUM
ejpam-4031	174	1	1.9666	1.9666	NUM
ejpam-4031	174	2	405	405	NUM
ejpam-4031	174	3	0.7470	0.7470	NUM
ejpam-4031	174	4	0.9999	0.9999	NUM
ejpam-4031	174	5	9.9000e−	9.9000e−	NOUN
ejpam-4031	174	6	06	06	NUM
ejpam-4031	174	7	1.9429	1.9429	NUM
ejpam-4031	174	8	287	287	NUM
ejpam-4031	174	9	0.227092	0.227092	NUM
ejpam-4031	174	10	0.9997	0.9997	NUM
ejpam-4031	174	11	9.7462e−	9.7462e−	NUM
ejpam-4031	174	12	06	06	NUM
ejpam-4031	174	13	226	226	NUM
ejpam-4031	174	14	1.9725	1.9725	NUM
ejpam-4031	174	15	487	487	NUM
ejpam-4031	174	16	0.9530	0.9530	NUM
ejpam-4031	174	17	0.9999	0.9999	NUM
ejpam-4031	174	18	9.6000e−	9.6000e−	NOUN
ejpam-4031	174	19	06	06	NUM
ejpam-4031	174	20	1.9528	1.9528	NUM
ejpam-4031	174	21	344	344	NUM
ejpam-4031	174	22	0.309206	0.309206	NUM
ejpam-4031	174	23	0.9998	0.9998	NUM
ejpam-4031	174	24	9.6445e−	9.6445e−	NUM
ejpam-4031	174	25	06	06	NUM
ejpam-4031	174	26	350	350	NUM
ejpam-4031	174	27	1.9822	1.9822	NUM
ejpam-4031	174	28	732	732	NUM
ejpam-4031	174	29	2.8480	2.8480	NUM
ejpam-4031	174	30	0.9999	0.9999	NUM
ejpam-4031	174	31	9.7000e−	9.7000e−	NOUN
ejpam-4031	174	32	06	06	NUM
ejpam-4031	174	33	1.9693	1.9693	NUM
ejpam-4031	174	34	528	528	NUM
ejpam-4031	174	35	0.796697	0.796697	NUM
ejpam-4031	174	36	0.9999	0.9999	NUM
ejpam-4031	174	37	9.5333e−	9.5333e−	NUM
ejpam-4031	174	38	06	06	NUM
ejpam-4031	174	39	426	426	NUM
ejpam-4031	174	40	1.9853	1.9853	NUM
ejpam-4031	174	41	882	882	NUM
ejpam-4031	174	42	6.4068	6.4068	NUM
ejpam-4031	174	43	0.9999	0.9999	NUM
ejpam-4031	174	44	9.4000e−	9.4000e−	NUM
ejpam-4031	174	45	06	06	NUM
ejpam-4031	174	46	1.9747	1.9747	NUM
ejpam-4031	174	47	644	644	NUM
ejpam-4031	174	48	2.142877	2.142877	NUM
ejpam-4031	174	49	0.9999	0.9999	NUM
ejpam-4031	174	50	9.3794e−	9.3794e−	NUM
ejpam-4031	174	51	06	06	NUM
ejpam-4031	174	52	table	table	NOUN
ejpam-4031	174	53	2	2	NUM
ejpam-4031	174	54	:	:	PUNCT
ejpam-4031	174	55	comparison	comparison	NOUN
ejpam-4031	174	56	of	of	ADP
ejpam-4031	174	57	standard	standard	ADJ
ejpam-4031	174	58	five	five	NUM
ejpam-4031	174	59	-	-	PUNCT
ejpam-4031	174	60	point	point	NOUN
ejpam-4031	174	61	and	and	CCONJ
ejpam-4031	174	62	four	four	NUM
ejpam-4031	174	63	-	-	PUNCT
ejpam-4031	174	64	point	point	NOUN
ejpam-4031	174	65	egaor	egaor	ADJ
ejpam-4031	174	66	iterative	iterative	NOUN
ejpam-4031	174	67	methods	method	NOUN
ejpam-4031	174	68	.	.	PUNCT
ejpam-4031	175	1	standard	standard	ADJ
ejpam-4031	175	2	five	five	NUM
ejpam-4031	175	3	-	-	PUNCT
ejpam-4031	175	4	point	point	NOUN
ejpam-4031	175	5	n	n	NOUN
ejpam-4031	175	6	ω	ω	NOUN
ejpam-4031	175	7	r	r	NOUN
ejpam-4031	175	8	k	k	PROPN
ejpam-4031	175	9	t	t	PROPN
ejpam-4031	175	10	ρ(j	ρ(j	PROPN
ejpam-4031	175	11	)	)	PUNCT
ejpam-4031	175	12	e	e	NOUN
ejpam-4031	175	13	12	12	NUM
ejpam-4031	175	14	1.5604	1.5604	NUM
ejpam-4031	175	15	1.5709	1.5709	NUM
ejpam-4031	175	16	26	26	NUM
ejpam-4031	175	17	0.0032s	0.0032s	NUM
ejpam-4031	175	18	0.9595	0.9595	NUM
ejpam-4031	175	19	8.8565e−	8.8565e−	NOUN
ejpam-4031	175	20	06	06	NUM
ejpam-4031	176	1	46	46	NUM
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ejpam-4031	176	3	1.8749	1.8749	NUM
ejpam-4031	176	4	100	100	NUM
ejpam-4031	176	5	0.0146s	0.0146s	NOUN
ejpam-4031	177	1	0.9976	0.9976	NUM
ejpam-4031	177	2	9.5039e−	9.5039e−	NUM
ejpam-4031	177	3	06	06	NUM
ejpam-4031	177	4	86	86	NUM
ejpam-4031	177	5	1.9287	1.9287	NUM
ejpam-4031	177	6	1.9329	1.9329	NUM
ejpam-4031	177	7	181	181	NUM
ejpam-4031	177	8	0.0678s	0.0678s	NOUN
ejpam-4031	177	9	0.9993	0.9993	NUM
ejpam-4031	177	10	9.8956e−	9.8956e−	NUM
ejpam-4031	177	11	06	06	NUM
ejpam-4031	177	12	106	106	NUM
ejpam-4031	177	13	1.9419	1.9419	NUM
ejpam-4031	177	14	1.9449	1.9449	NUM
ejpam-4031	177	15	222	222	NUM
ejpam-4031	177	16	0.1072s	0.1072s	SYM
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ejpam-4031	177	18	9.9577e−	9.9577e−	NOUN
ejpam-4031	177	19	06	06	NUM
ejpam-4031	177	20	146	146	NUM
ejpam-4031	177	21	1.9576	1.9576	NUM
ejpam-4031	177	22	1.9592	1.9592	NUM
ejpam-4031	177	23	306	306	NUM
ejpam-4031	177	24	0.2163s	0.2163s	NOUN
ejpam-4031	177	25	.9998	.9998	PROPN
ejpam-4031	178	1	9.9646e−	9.9646e−	NOUN
ejpam-4031	178	2	06	06	NUM
ejpam-4031	178	3	186	186	NUM
ejpam-4031	178	4	1.9666	1.9666	NUM
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ejpam-4031	178	6	395	395	NUM
ejpam-4031	178	7	0.6039s	0.6039s	NUM
ejpam-4031	178	8	0.9998	0.9998	NUM
ejpam-4031	178	9	9.9828e−	9.9828e−	NOUN
ejpam-4031	178	10	06	06	NUM
ejpam-4031	179	1	226	226	NUM
ejpam-4031	179	2	1.9699	1.9699	NUM
ejpam-4031	179	3	1.9742	1.9742	NUM
ejpam-4031	179	4	466	466	NUM
ejpam-4031	179	5	0.67701s	0.67701s	ADP
ejpam-4031	179	6	0.9999	0.9999	NUM
ejpam-4031	179	7	9.4652e−	9.4652e−	NUM
ejpam-4031	179	8	06	06	NUM
ejpam-4031	179	9	350	350	NUM
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ejpam-4031	179	12	724	724	NUM
ejpam-4031	179	13	2.1866s	2.1866s	NUM
ejpam-4031	179	14	0.9999	0.9999	NUM
ejpam-4031	179	15	9.8868e−	9.8868e−	NOUN
ejpam-4031	179	16	06	06	NUM
ejpam-4031	179	17	426	426	NUM
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ejpam-4031	179	20	869	869	NUM
ejpam-4031	179	21	4.90743s	4.90743s	NOUN
ejpam-4031	179	22	.9999	.9999	NOUN
ejpam-4031	179	23	9.91628e−	9.91628e−	NUM
ejpam-4031	179	24	06	06	NUM
ejpam-4031	179	25	four	four	NUM
ejpam-4031	179	26	-	-	PUNCT
ejpam-4031	179	27	point	point	NOUN
ejpam-4031	179	28	group	group	NOUN
ejpam-4031	179	29	(	(	PUNCT
ejpam-4031	179	30	aor	aor	PROPN
ejpam-4031	179	31	)	)	PUNCT
ejpam-4031	179	32	n	n	NOUN
ejpam-4031	179	33	ω	ω	NUM
ejpam-4031	179	34	r	r	NOUN
ejpam-4031	179	35	k	k	PROPN
ejpam-4031	179	36	t	t	PROPN
ejpam-4031	179	37	ρ(j	ρ(j	PROPN
ejpam-4031	179	38	)	)	PUNCT
ejpam-4031	179	39	e	e	NOUN
ejpam-4031	179	40	12	12	NUM
ejpam-4031	179	41	1.4331	1.4331	NUM
ejpam-4031	179	42	1.4537	1.4537	NUM
ejpam-4031	179	43	17	17	NUM
ejpam-4031	179	44	0.0085s	0.0085	NOUN
ejpam-4031	179	45	0.9184	0.9184	NUM
ejpam-4031	179	46	9.7737e−	9.7737e−	NUM
ejpam-4031	179	47	06	06	NUM
ejpam-4031	179	48	46	46	NUM
ejpam-4031	179	49	1.792−	1.792−	NUM
ejpam-4031	179	50	1.763	1.763	NUM
ejpam-4031	179	51	1.8270	1.8270	NUM
ejpam-4031	179	52	69	69	NUM
ejpam-4031	179	53	0.0261s	0.0261s	NOUN
ejpam-4031	179	54	0.9951	0.9951	NUM
ejpam-4031	179	55	9.8840e−	9.8840e−	NOUN
ejpam-4031	179	56	06	06	NUM
ejpam-4031	179	57	86	86	NUM
ejpam-4031	179	58	1.847−	1.847−	NUM
ejpam-4031	179	59	1.853	1.853	NUM
ejpam-4031	179	60	1.9050	1.9050	NUM
ejpam-4031	179	61	124	124	NUM
ejpam-4031	179	62	0.0920s	0.0920s	NOUN
ejpam-4031	179	63	0.9986	0.9986	NUM
ejpam-4031	179	64	9.9985e−	9.9985e−	NUM
ejpam-4031	179	65	06	06	NUM
ejpam-4031	179	66	106	106	NUM
ejpam-4031	179	67	1.880−	1.880−	NUM
ejpam-4031	179	68	1.867	1.867	NUM
ejpam-4031	179	69	1.9220	1.9220	NUM
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ejpam-4031	179	71	0.0990s	0.0990s	NOUN
ejpam-4031	180	1	0.9991	0.9991	NUM
ejpam-4031	180	2	9.8045e−	9.8045e−	NUM
ejpam-4031	180	3	06	06	NUM
ejpam-4031	180	4	146	146	NUM
ejpam-4031	180	5	1.903−	1.903−	NUM
ejpam-4031	180	6	1.843	1.843	NUM
ejpam-4031	180	7	1.9430	1.9430	NUM
ejpam-4031	180	8	208	208	NUM
ejpam-4031	180	9	0.1782s	0.1782s	NUM
ejpam-4031	180	10	0.9995	0.9995	NUM
ejpam-4031	180	11	9.8531e−	9.8531e−	NUM
ejpam-4031	180	12	06	06	NUM
ejpam-4031	181	1	186	186	NUM
ejpam-4031	181	2	1.919−	1.919−	NUM
ejpam-4031	181	3	1.917	1.917	NUM
ejpam-4031	181	4	1.9550	1.9550	NUM
ejpam-4031	181	5	263	263	NUM
ejpam-4031	181	6	0.2521s	0.2521s	NOUN
ejpam-4031	181	7	0.9997	0.9997	NUM
ejpam-4031	181	8	9.9905e−	9.9905e−	NUM
ejpam-4031	181	9	06	06	NUM
ejpam-4031	181	10	226	226	NUM
ejpam-4031	181	11	1.931−	1.931−	NUM
ejpam-4031	182	1	1.927	1.927	NUM
ejpam-4031	182	2	1.9620	1.9620	NUM
ejpam-4031	182	3	318	318	NUM
ejpam-4031	182	4	0.4317s	0.4317s	PROPN
ejpam-4031	182	5	0.9998	0.9998	NUM
ejpam-4031	182	6	9.9684e−	9.9684e−	NUM
ejpam-4031	182	7	06	06	NUM
ejpam-4031	182	8	350	350	NUM
ejpam-4031	182	9	1.954−	1.954−	NUM
ejpam-4031	182	10	1952	1952	NUM
ejpam-4031	182	11	1.9753	1.9753	NUM
ejpam-4031	182	12	488	488	NUM
ejpam-4031	182	13	0.9133s	0.9133s	NOUN
ejpam-4031	182	14	0.9999	0.9999	NUM
ejpam-4031	182	15	9.9444e−	9.9444e−	NUM
ejpam-4031	182	16	06	06	NUM
ejpam-4031	182	17	426	426	NUM
ejpam-4031	182	18	1.935−	1.935−	NUM
ejpam-4031	182	19	1.929	1.929	NUM
ejpam-4031	182	20	1.9800	1.9800	NUM
ejpam-4031	182	21	587	587	NUM
ejpam-4031	182	22	1.9163s7	1.9163s7	NUM
ejpam-4031	182	23	0.9999	0.9999	NUM
ejpam-4031	182	24	9.9413e−	9.9413e−	NUM
ejpam-4031	182	25	06	06	NUM
ejpam-4031	182	26	a.m.	a.m.	PROPN
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ejpam-4031	182	29	n.	n.	PROPN
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ejpam-4031	182	31	-	-	PUNCT
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ejpam-4031	182	33	/	/	SYM
ejpam-4031	182	34	eur	eur	PROPN
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ejpam-4031	183	2	pure	pure	PROPN
ejpam-4031	183	3	appl	appl	PROPN
ejpam-4031	183	4	.	.	PROPN
ejpam-4031	183	5	math	math	PROPN
ejpam-4031	183	6	,	,	PUNCT
ejpam-4031	183	7	14	14	NUM
ejpam-4031	183	8	(	(	PUNCT
ejpam-4031	183	9	3	3	NUM
ejpam-4031	183	10	)	)	PUNCT
ejpam-4031	183	11	(	(	PUNCT
ejpam-4031	183	12	2021	2021	NUM
ejpam-4031	183	13	)	)	PUNCT
ejpam-4031	183	14	,	,	PUNCT
ejpam-4031	183	15	905	905	NUM
ejpam-4031	183	16	-	-	SYM
ejpam-4031	183	17	914	914	NUM
ejpam-4031	183	18	912	912	NUM
ejpam-4031	183	19	(	(	PUNCT
ejpam-4031	183	20	a	a	NOUN
ejpam-4031	183	21	)	)	PUNCT
ejpam-4031	183	22	(	(	PUNCT
ejpam-4031	183	23	b	b	X
ejpam-4031	183	24	)	)	PUNCT
ejpam-4031	183	25	figure	figure	NOUN
ejpam-4031	183	26	1	1	NUM
ejpam-4031	183	27	:	:	PUNCT
ejpam-4031	183	28	comparison	comparison	NOUN
ejpam-4031	183	29	of	of	ADP
ejpam-4031	183	30	the	the	DET
ejpam-4031	183	31	cpu	cpu	NOUN
ejpam-4031	183	32	time	time	NOUN
ejpam-4031	183	33	(	(	PUNCT
ejpam-4031	183	34	t	t	NOUN
ejpam-4031	183	35	)	)	PUNCT
ejpam-4031	183	36	and	and	CCONJ
ejpam-4031	183	37	the	the	DET
ejpam-4031	183	38	number	number	NOUN
ejpam-4031	183	39	of	of	ADP
ejpam-4031	183	40	iterations	iteration	NOUN
ejpam-4031	183	41	(	(	PUNCT
ejpam-4031	183	42	k	k	NOUN
ejpam-4031	183	43	)	)	PUNCT
ejpam-4031	183	44	for	for	ADP
ejpam-4031	183	45	standard	standard	ADJ
ejpam-4031	183	46	five	five	NUM
ejpam-4031	183	47	-	-	PUNCT
ejpam-4031	183	48	point	point	NOUN
ejpam-4031	183	49	sor	sor	NOUN
ejpam-4031	183	50	and	and	CCONJ
ejpam-4031	183	51	foure	foure	VERB
ejpam-4031	183	52	point	point	NOUN
ejpam-4031	183	53	egsor	egsor	NOUN
ejpam-4031	183	54	iterative	iterative	NOUN
ejpam-4031	183	55	methods	method	NOUN
ejpam-4031	183	56	.	.	PUNCT
ejpam-4031	184	1	(	(	PUNCT
ejpam-4031	184	2	a	a	X
ejpam-4031	184	3	)	)	PUNCT
ejpam-4031	184	4	(	(	PUNCT
ejpam-4031	184	5	b	b	X
ejpam-4031	184	6	)	)	PUNCT
ejpam-4031	184	7	figure	figure	NOUN
ejpam-4031	184	8	2	2	NUM
ejpam-4031	184	9	:	:	PUNCT
ejpam-4031	184	10	(	(	PUNCT
ejpam-4031	184	11	a	a	X
ejpam-4031	184	12	)	)	PUNCT
ejpam-4031	184	13	approximation	approximation	NOUN
ejpam-4031	184	14	solution	solution	NOUN
ejpam-4031	184	15	of	of	ADP
ejpam-4031	184	16	egsor	egsor	NOUN
ejpam-4031	184	17	for	for	ADP
ejpam-4031	184	18	n=86,(b	n=86,(b	NOUN
ejpam-4031	184	19	)	)	PUNCT
ejpam-4031	184	20	approximation	approximation	NOUN
ejpam-4031	184	21	solution	solution	NOUN
ejpam-4031	184	22	egaor	egaor	NOUN
ejpam-4031	184	23	for	for	ADP
ejpam-4031	184	24	n=86	n=86	PROPN
ejpam-4031	184	25	.	.	PUNCT
ejpam-4031	185	1	(	(	PUNCT
ejpam-4031	185	2	a	a	X
ejpam-4031	185	3	)	)	PUNCT
ejpam-4031	185	4	(	(	PUNCT
ejpam-4031	185	5	b	b	X
ejpam-4031	185	6	)	)	PUNCT
ejpam-4031	185	7	figure	figure	NOUN
ejpam-4031	185	8	3	3	NUM
ejpam-4031	185	9	:	:	PUNCT
ejpam-4031	185	10	comparison	comparison	NOUN
ejpam-4031	185	11	of	of	ADP
ejpam-4031	185	12	the	the	DET
ejpam-4031	185	13	cpu	cpu	NOUN
ejpam-4031	185	14	time	time	NOUN
ejpam-4031	185	15	(	(	PUNCT
ejpam-4031	185	16	t	t	NOUN
ejpam-4031	185	17	)	)	PUNCT
ejpam-4031	185	18	and	and	CCONJ
ejpam-4031	185	19	the	the	DET
ejpam-4031	185	20	number	number	NOUN
ejpam-4031	185	21	of	of	ADP
ejpam-4031	185	22	iterations	iteration	NOUN
ejpam-4031	185	23	(	(	PUNCT
ejpam-4031	185	24	k	k	NOUN
ejpam-4031	185	25	)	)	PUNCT
ejpam-4031	185	26	for	for	ADP
ejpam-4031	185	27	standard	standard	ADJ
ejpam-4031	185	28	five	five	NUM
ejpam-4031	185	29	-	-	PUNCT
ejpam-4031	185	30	point	point	NOUN
ejpam-4031	185	31	aor	aor	NOUN
ejpam-4031	185	32	and	and	CCONJ
ejpam-4031	185	33	foure	foure	VERB
ejpam-4031	185	34	point	point	NOUN
ejpam-4031	185	35	egaor	egaor	ADJ
ejpam-4031	185	36	iterative	iterative	NOUN
ejpam-4031	185	37	methods	method	NOUN
ejpam-4031	185	38	.	.	PUNCT
ejpam-4031	186	1	5	5	X
ejpam-4031	186	2	.	.	X
ejpam-4031	186	3	conclusions	conclusion	NOUN
ejpam-4031	186	4	the	the	DET
ejpam-4031	186	5	results	result	NOUN
ejpam-4031	186	6	reported	report	VERB
ejpam-4031	186	7	in	in	ADP
ejpam-4031	186	8	tables	table	NOUN
ejpam-4031	186	9	1	1	NUM
ejpam-4031	186	10	and	and	CCONJ
ejpam-4031	186	11	2	2	NUM
ejpam-4031	186	12	,	,	PUNCT
ejpam-4031	186	13	clearly	clearly	ADV
ejpam-4031	186	14	show	show	VERB
ejpam-4031	186	15	that	that	SCONJ
ejpam-4031	186	16	the	the	DET
ejpam-4031	186	17	4egaor	4egaor	NUM
ejpam-4031	186	18	process	process	NOUN
ejpam-4031	186	19	outperforms	outperform	VERB
ejpam-4031	186	20	the	the	DET
ejpam-4031	186	21	corresponding	correspond	VERB
ejpam-4031	186	22	4	4	NUM
ejpam-4031	186	23	-	-	NOUN
ejpam-4031	186	24	egsor	egsor	NOUN
ejpam-4031	186	25	,	,	PUNCT
ejpam-4031	186	26	point	point	NOUN
ejpam-4031	186	27	sor	sor	NOUN
ejpam-4031	186	28	,	,	PUNCT
ejpam-4031	186	29	and	and	CCONJ
ejpam-4031	186	30	aor	aor	NOUN
ejpam-4031	186	31	methods	method	NOUN
ejpam-4031	186	32	.	.	PUNCT
ejpam-4031	187	1	the	the	DET
ejpam-4031	187	2	number	number	NOUN
ejpam-4031	187	3	of	of	ADP
ejpam-4031	187	4	references	reference	NOUN
ejpam-4031	187	5	913	913	NUM
ejpam-4031	187	6	iterations	iteration	NOUN
ejpam-4031	187	7	and	and	CCONJ
ejpam-4031	187	8	execution	execution	NOUN
ejpam-4031	187	9	time	time	NOUN
ejpam-4031	187	10	has	have	AUX
ejpam-4031	187	11	also	also	ADV
ejpam-4031	187	12	decreased	decrease	VERB
ejpam-4031	187	13	.	.	PUNCT
ejpam-4031	188	1	in	in	ADP
ejpam-4031	188	2	all	all	PRON
ejpam-4031	188	3	of	of	ADP
ejpam-4031	188	4	the	the	DET
ejpam-4031	188	5	cases	case	NOUN
ejpam-4031	188	6	studied	study	VERB
ejpam-4031	188	7	,	,	PUNCT
ejpam-4031	188	8	it	it	PRON
ejpam-4031	188	9	is	be	AUX
ejpam-4031	188	10	evident	evident	ADJ
ejpam-4031	188	11	that	that	SCONJ
ejpam-4031	188	12	the	the	DET
ejpam-4031	188	13	4egaor	4egaor	NUM
ejpam-4031	188	14	approach	approach	NOUN
ejpam-4031	188	15	needs	need	VERB
ejpam-4031	188	16	the	the	DET
ejpam-4031	188	17	least	least	ADJ
ejpam-4031	188	18	amount	amount	NOUN
ejpam-4031	188	19	of	of	ADP
ejpam-4031	188	20	computational	computational	ADJ
ejpam-4031	188	21	effort	effort	NOUN
ejpam-4031	188	22	,	,	PUNCT
ejpam-4031	188	23	which	which	PRON
ejpam-4031	188	24	corresponds	correspond	VERB
ejpam-4031	188	25	to	to	ADP
ejpam-4031	188	26	the	the	DET
ejpam-4031	188	27	pattern	pattern	NOUN
ejpam-4031	188	28	of	of	ADP
ejpam-4031	188	29	timing	timing	NOUN
ejpam-4031	188	30	results	result	NOUN
ejpam-4031	188	31	obtained	obtain	VERB
ejpam-4031	188	32	in	in	ADP
ejpam-4031	188	33	our	our	PRON
ejpam-4031	188	34	experiments	experiment	NOUN
ejpam-4031	188	35	.	.	PUNCT
ejpam-4031	189	1	this	this	PRON
ejpam-4031	189	2	is	be	AUX
ejpam-4031	189	3	due	due	ADJ
ejpam-4031	189	4	in	in	ADP
ejpam-4031	189	5	large	large	ADJ
ejpam-4031	189	6	part	part	NOUN
ejpam-4031	189	7	to	to	ADP
ejpam-4031	189	8	the	the	DET
ejpam-4031	189	9	aor	aor	NOUN
ejpam-4031	189	10	method	method	NOUN
ejpam-4031	189	11	’s	’s	PART
ejpam-4031	189	12	reduction	reduction	NOUN
ejpam-4031	189	13	of	of	ADP
ejpam-4031	189	14	computational	computational	ADJ
ejpam-4031	189	15	complexity	complexity	NOUN
ejpam-4031	189	16	and	and	CCONJ
ejpam-4031	189	17	acceleration	acceleration	NOUN
ejpam-4031	189	18	parameters	parameter	NOUN
ejpam-4031	189	19	.	.	PUNCT
ejpam-4031	190	1	this	this	DET
ejpam-4031	190	2	research	research	NOUN
ejpam-4031	190	3	can	can	AUX
ejpam-4031	190	4	be	be	AUX
ejpam-4031	190	5	continued	continue	VERB
ejpam-4031	190	6	in	in	ADP
ejpam-4031	190	7	the	the	DET
ejpam-4031	190	8	future	future	NOUN
ejpam-4031	190	9	to	to	PART
ejpam-4031	190	10	look	look	VERB
ejpam-4031	190	11	at	at	ADP
ejpam-4031	190	12	the	the	DET
ejpam-4031	190	13	use	use	NOUN
ejpam-4031	190	14	of	of	ADP
ejpam-4031	190	15	another	another	DET
ejpam-4031	190	16	group	group	NOUN
ejpam-4031	190	17	iterative	iterative	NOUN
ejpam-4031	190	18	methods	method	NOUN
ejpam-4031	190	19	combined	combine	VERB
ejpam-4031	190	20	with	with	ADP
ejpam-4031	190	21	aor	aor	PROPN
ejpam-4031	190	22	scheme	scheme	NOUN
ejpam-4031	190	23	as	as	ADP
ejpam-4031	190	24	a	a	DET
ejpam-4031	190	25	smoother	smooth	ADJ
ejpam-4031	190	26	with	with	ADP
ejpam-4031	190	27	a	a	DET
ejpam-4031	190	28	complexity	complexity	NOUN
ejpam-4031	190	29	reduction	reduction	NOUN
ejpam-4031	190	30	approach	approach	NOUN
ejpam-4031	190	31	.	.	PUNCT
ejpam-4031	191	1	acknowledgements	acknowledgement	NOUN
ejpam-4031	191	2	the	the	DET
ejpam-4031	191	3	authors	author	NOUN
ejpam-4031	191	4	are	be	AUX
ejpam-4031	191	5	supported	support	VERB
ejpam-4031	191	6	by	by	ADP
ejpam-4031	191	7	qassim	qassim	PROPN
ejpam-4031	191	8	university	university	PROPN
ejpam-4031	191	9	and	and	CCONJ
ejpam-4031	191	10	the	the	DET
ejpam-4031	191	11	ministry	ministry	PROPN
ejpam-4031	191	12	of	of	ADP
ejpam-4031	191	13	education	education	PROPN
ejpam-4031	191	14	of	of	ADP
ejpam-4031	191	15	saudi	saudi	PROPN
ejpam-4031	191	16	arabia	arabia	PROPN
ejpam-4031	191	17	.	.	PUNCT
ejpam-4031	192	1	references	reference	NOUN
ejpam-4031	192	2	[	[	X
ejpam-4031	192	3	1	1	X
ejpam-4031	192	4	]	]	PUNCT
ejpam-4031	192	5	norhashidah	norhashidah	NOUN
ejpam-4031	192	6	hj	hj	PROPN
ejpam-4031	192	7	mohd	mohd	PROPN
ejpam-4031	192	8	ali	ali	PROPN
ejpam-4031	192	9	and	and	CCONJ
ejpam-4031	192	10	lee	lee	PROPN
ejpam-4031	192	11	siaw	siaw	PROPN
ejpam-4031	192	12	chong	chong	PROPN
ejpam-4031	192	13	.	.	PUNCT
ejpam-4031	193	1	group	group	PROPN
ejpam-4031	193	2	accelerated	accelerate	VERB
ejpam-4031	193	3	overrelaxation	overrelaxation	NOUN
ejpam-4031	193	4	methods	method	NOUN
ejpam-4031	193	5	on	on	ADP
ejpam-4031	193	6	rotated	rotate	VERB
ejpam-4031	193	7	grid	grid	NOUN
ejpam-4031	193	8	.	.	PUNCT
ejpam-4031	194	1	applied	apply	VERB
ejpam-4031	194	2	mathematics	mathematic	NOUN
ejpam-4031	194	3	and	and	CCONJ
ejpam-4031	194	4	computation	computation	NOUN
ejpam-4031	194	5	,	,	PUNCT
ejpam-4031	194	6	191(2):533–542	191(2):533–542	NUM
ejpam-4031	194	7	,	,	PUNCT
ejpam-4031	194	8	2007	2007	NUM
ejpam-4031	194	9	.	.	PUNCT
ejpam-4031	195	1	[	[	X
ejpam-4031	195	2	2	2	NUM
ejpam-4031	195	3	]	]	X
ejpam-4031	195	4	yousef	yousef	PROPN
ejpam-4031	195	5	alnafisah	alnafisah	PROPN
ejpam-4031	195	6	.	.	PUNCT
ejpam-4031	196	1	the	the	DET
ejpam-4031	196	2	implementation	implementation	NOUN
ejpam-4031	196	3	of	of	ADP
ejpam-4031	196	4	milstein	milstein	ADJ
ejpam-4031	196	5	scheme	scheme	NOUN
ejpam-4031	196	6	in	in	ADP
ejpam-4031	196	7	two	two	NUM
ejpam-4031	196	8	-	-	PUNCT
ejpam-4031	196	9	dimensional	dimensional	ADJ
ejpam-4031	196	10	sdes	sde	NOUN
ejpam-4031	196	11	using	use	VERB
ejpam-4031	196	12	the	the	DET
ejpam-4031	196	13	fourier	fourier	ADJ
ejpam-4031	196	14	method	method	NOUN
ejpam-4031	196	15	.	.	PUNCT
ejpam-4031	197	1	in	in	ADP
ejpam-4031	197	2	abstract	abstract	ADJ
ejpam-4031	197	3	and	and	CCONJ
ejpam-4031	197	4	applied	apply	VERB
ejpam-4031	197	5	analysis	analysis	NOUN
ejpam-4031	197	6	,	,	PUNCT
ejpam-4031	197	7	volume	volume	NOUN
ejpam-4031	197	8	2018	2018	NUM
ejpam-4031	197	9	.	.	PUNCT
ejpam-4031	198	1	hindawi	hindawi	ADJ
ejpam-4031	198	2	,	,	PUNCT
ejpam-4031	198	3	2018	2018	NUM
ejpam-4031	198	4	.	.	PUNCT
ejpam-4031	199	1	[	[	X
ejpam-4031	199	2	3	3	X
ejpam-4031	199	3	]	]	PUNCT
ejpam-4031	199	4	a	a	DET
ejpam-4031	199	5	hadjidimos	hadjidimos	NOUN
ejpam-4031	199	6	.	.	PUNCT
ejpam-4031	200	1	a	a	DET
ejpam-4031	200	2	survey	survey	NOUN
ejpam-4031	200	3	of	of	ADP
ejpam-4031	200	4	the	the	DET
ejpam-4031	200	5	iterative	iterative	NOUN
ejpam-4031	200	6	methods	method	NOUN
ejpam-4031	200	7	for	for	ADP
ejpam-4031	200	8	the	the	DET
ejpam-4031	200	9	solution	solution	NOUN
ejpam-4031	200	10	of	of	ADP
ejpam-4031	200	11	linear	linear	PROPN
ejpam-4031	200	12	systems	system	NOUN
ejpam-4031	200	13	by	by	ADP
ejpam-4031	200	14	extrapolation	extrapolation	NOUN
ejpam-4031	200	15	,	,	PUNCT
ejpam-4031	200	16	relaxation	relaxation	NOUN
ejpam-4031	200	17	and	and	CCONJ
ejpam-4031	200	18	other	other	ADJ
ejpam-4031	200	19	techniques	technique	NOUN
ejpam-4031	200	20	.	.	PUNCT
ejpam-4031	201	1	journal	journal	NOUN
ejpam-4031	201	2	of	of	ADP
ejpam-4031	201	3	computational	computational	ADJ
ejpam-4031	201	4	and	and	CCONJ
ejpam-4031	201	5	applied	applied	ADJ
ejpam-4031	201	6	mathematics	mathematic	NOUN
ejpam-4031	201	7	,	,	PUNCT
ejpam-4031	201	8	20:37–51	20:37–51	NUM
ejpam-4031	201	9	,	,	PUNCT
ejpam-4031	201	10	1987	1987	NUM
ejpam-4031	201	11	.	.	PUNCT
ejpam-4031	202	1	[	[	X
ejpam-4031	202	2	4	4	X
ejpam-4031	202	3	]	]	PUNCT
ejpam-4031	202	4	a	a	DET
ejpam-4031	202	5	hadjidimos	hadjidimos	NOUN
ejpam-4031	202	6	and	and	CCONJ
ejpam-4031	202	7	a	a	DET
ejpam-4031	202	8	yeyios	yeyio	NOUN
ejpam-4031	202	9	.	.	PUNCT
ejpam-4031	203	1	the	the	DET
ejpam-4031	203	2	principle	principle	NOUN
ejpam-4031	203	3	of	of	ADP
ejpam-4031	203	4	extrapolation	extrapolation	NOUN
ejpam-4031	203	5	in	in	ADP
ejpam-4031	203	6	connection	connection	NOUN
ejpam-4031	203	7	with	with	ADP
ejpam-4031	203	8	the	the	DET
ejpam-4031	203	9	accelerated	accelerated	ADJ
ejpam-4031	203	10	overrelaxation	overrelaxation	NOUN
ejpam-4031	203	11	method	method	NOUN
ejpam-4031	203	12	.	.	PUNCT
ejpam-4031	204	1	linear	linear	ADJ
ejpam-4031	204	2	algebra	algebra	NOUN
ejpam-4031	204	3	and	and	CCONJ
ejpam-4031	204	4	its	its	PRON
ejpam-4031	204	5	applications	application	NOUN
ejpam-4031	204	6	,	,	PUNCT
ejpam-4031	204	7	30:115–128	30:115–128	NUM
ejpam-4031	204	8	,	,	PUNCT
ejpam-4031	204	9	1980	1980	NUM
ejpam-4031	204	10	.	.	PUNCT
ejpam-4031	205	1	[	[	X
ejpam-4031	205	2	5	5	X
ejpam-4031	205	3	]	]	X
ejpam-4031	205	4	apostolos	apostolos	PROPN
ejpam-4031	205	5	hadjidimos	hadjidimos	PROPN
ejpam-4031	205	6	.	.	PUNCT
ejpam-4031	206	1	accelerated	accelerate	VERB
ejpam-4031	206	2	overrelaxation	overrelaxation	NOUN
ejpam-4031	206	3	method	method	NOUN
ejpam-4031	206	4	.	.	PUNCT
ejpam-4031	207	1	mathematics	mathematic	NOUN
ejpam-4031	207	2	of	of	ADP
ejpam-4031	207	3	computation	computation	NOUN
ejpam-4031	207	4	,	,	PUNCT
ejpam-4031	207	5	32(141):149–157	32(141):149–157	PROPN
ejpam-4031	207	6	,	,	PUNCT
ejpam-4031	207	7	1978	1978	NUM
ejpam-4031	207	8	.	.	PUNCT
ejpam-4031	208	1	[	[	X
ejpam-4031	208	2	6	6	NUM
ejpam-4031	208	3	]	]	PUNCT
ejpam-4031	208	4	norhashidah	norhashidah	NOUN
ejpam-4031	208	5	hj	hj	PROPN
ejpam-4031	208	6	mohd	mohd	PROPN
ejpam-4031	208	7	ali	ali	PROPN
ejpam-4031	208	8	and	and	CCONJ
ejpam-4031	208	9	abdulkafi	abdulkafi	PROPN
ejpam-4031	208	10	mohammed	mohammed	PROPN
ejpam-4031	208	11	saeed	saeed	PROPN
ejpam-4031	208	12	.	.	PUNCT
ejpam-4031	209	1	convergence	convergence	NOUN
ejpam-4031	209	2	analysis	analysis	NOUN
ejpam-4031	209	3	of	of	ADP
ejpam-4031	209	4	the	the	DET
ejpam-4031	209	5	preconditioned	preconditioned	ADJ
ejpam-4031	209	6	group	group	NOUN
ejpam-4031	209	7	splitting	splitting	NOUN
ejpam-4031	209	8	methods	method	NOUN
ejpam-4031	209	9	in	in	ADP
ejpam-4031	209	10	boundary	boundary	ADJ
ejpam-4031	209	11	value	value	NOUN
ejpam-4031	209	12	problems	problem	NOUN
ejpam-4031	209	13	.	.	PUNCT
ejpam-4031	210	1	in	in	ADP
ejpam-4031	210	2	abstract	abstract	ADJ
ejpam-4031	210	3	and	and	CCONJ
ejpam-4031	210	4	applied	apply	VERB
ejpam-4031	210	5	analysis	analysis	NOUN
ejpam-4031	210	6	,	,	PUNCT
ejpam-4031	210	7	volume	volume	NOUN
ejpam-4031	210	8	2012	2012	NUM
ejpam-4031	210	9	.	.	PUNCT
ejpam-4031	211	1	hindawi	hindawi	VERB
ejpam-4031	211	2	,	,	PUNCT
ejpam-4031	211	3	2012	2012	NUM
ejpam-4031	211	4	.	.	PUNCT
ejpam-4031	212	1	[	[	X
ejpam-4031	212	2	7	7	X
ejpam-4031	212	3	]	]	X
ejpam-4031	212	4	yousef	yousef	PROPN
ejpam-4031	212	5	saad	saad	PROPN
ejpam-4031	212	6	and	and	CCONJ
ejpam-4031	212	7	henk	henk	PROPN
ejpam-4031	212	8	a	a	DET
ejpam-4031	212	9	van	van	PROPN
ejpam-4031	212	10	der	der	NOUN
ejpam-4031	212	11	vorst	vorst	PROPN
ejpam-4031	212	12	.	.	PUNCT
ejpam-4031	213	1	iterative	iterative	NOUN
ejpam-4031	213	2	solution	solution	NOUN
ejpam-4031	213	3	of	of	ADP
ejpam-4031	213	4	linear	linear	PROPN
ejpam-4031	213	5	systems	system	NOUN
ejpam-4031	213	6	in	in	ADP
ejpam-4031	213	7	the	the	DET
ejpam-4031	213	8	20th	20th	ADJ
ejpam-4031	213	9	century	century	NOUN
ejpam-4031	213	10	.	.	PUNCT
ejpam-4031	214	1	numerical	numerical	ADJ
ejpam-4031	214	2	analysis	analysis	NOUN
ejpam-4031	214	3	:	:	PUNCT
ejpam-4031	214	4	historical	historical	ADJ
ejpam-4031	214	5	developments	development	NOUN
ejpam-4031	214	6	in	in	ADP
ejpam-4031	214	7	the	the	DET
ejpam-4031	214	8	20th	20th	ADJ
ejpam-4031	214	9	century	century	NOUN
ejpam-4031	214	10	,	,	PUNCT
ejpam-4031	214	11	pages	page	NOUN
ejpam-4031	214	12	175–207	175–207	NUM
ejpam-4031	214	13	,	,	PUNCT
ejpam-4031	214	14	2001	2001	NUM
ejpam-4031	214	15	.	.	PUNCT
ejpam-4031	215	1	[	[	X
ejpam-4031	215	2	8	8	NUM
ejpam-4031	215	3	]	]	PUNCT
ejpam-4031	215	4	am	be	AUX
ejpam-4031	215	5	saeed	saeed	NOUN
ejpam-4031	215	6	and	and	CCONJ
ejpam-4031	215	7	n	n	NOUN
ejpam-4031	215	8	hj	hj	PROPN
ejpam-4031	215	9	mohd	mohd	PROPN
ejpam-4031	215	10	ali	ali	PROPN
ejpam-4031	215	11	.	.	PUNCT
ejpam-4031	216	1	on	on	ADP
ejpam-4031	216	2	the	the	DET
ejpam-4031	216	3	convergence	convergence	NOUN
ejpam-4031	216	4	of	of	ADP
ejpam-4031	216	5	the	the	DET
ejpam-4031	216	6	preconditioned	preconditioned	ADJ
ejpam-4031	216	7	group	group	NOUN
ejpam-4031	216	8	rotated	rotate	VERB
ejpam-4031	216	9	iterative	iterative	NOUN
ejpam-4031	216	10	methods	method	NOUN
ejpam-4031	216	11	in	in	ADP
ejpam-4031	216	12	the	the	DET
ejpam-4031	216	13	solution	solution	NOUN
ejpam-4031	216	14	of	of	ADP
ejpam-4031	216	15	elliptic	elliptic	ADJ
ejpam-4031	216	16	pdes	pde	NOUN
ejpam-4031	216	17	.	.	PUNCT
ejpam-4031	217	1	applied	apply	VERB
ejpam-4031	217	2	mathematics	mathematics	PROPN
ejpam-4031	217	3	&	&	CCONJ
ejpam-4031	217	4	information	information	NOUN
ejpam-4031	217	5	sciences	sciences	PROPN
ejpam-4031	217	6	,	,	PUNCT
ejpam-4031	217	7	5(1):65–73	5(1):65–73	NUM
ejpam-4031	217	8	,	,	PUNCT
ejpam-4031	217	9	2011	2011	NUM
ejpam-4031	217	10	.	.	PUNCT
ejpam-4031	218	1	references	reference	NOUN
ejpam-4031	218	2	914	914	NUM
ejpam-4031	219	1	[	[	X
ejpam-4031	219	2	9	9	NUM
ejpam-4031	219	3	]	]	PUNCT
ejpam-4031	219	4	yg	yg	PROPN
ejpam-4031	219	5	saridakis	saridakis	PROPN
ejpam-4031	219	6	and	and	CCONJ
ejpam-4031	219	7	jp	jp	PROPN
ejpam-4031	219	8	kossin	kossin	PROPN
ejpam-4031	219	9	.	.	PUNCT
ejpam-4031	220	1	on	on	ADP
ejpam-4031	220	2	exact	exact	ADJ
ejpam-4031	220	3	convergence	convergence	NOUN
ejpam-4031	220	4	of	of	ADP
ejpam-4031	220	5	the	the	DET
ejpam-4031	220	6	accelerated	accelerated	ADJ
ejpam-4031	220	7	overrelaxation	overrelaxation	NOUN
ejpam-4031	220	8	method	method	NOUN
ejpam-4031	220	9	when	when	SCONJ
ejpam-4031	220	10	applied	apply	VERB
ejpam-4031	220	11	to	to	PART
ejpam-4031	220	12	consistently	consistently	ADV
ejpam-4031	220	13	ordered	order	VERB
ejpam-4031	220	14	systems	system	NOUN
ejpam-4031	220	15	.	.	PUNCT
ejpam-4031	221	1	international	international	ADJ
ejpam-4031	221	2	journal	journal	PROPN
ejpam-4031	221	3	of	of	ADP
ejpam-4031	221	4	computer	computer	NOUN
ejpam-4031	221	5	mathematics	mathematic	NOUN
ejpam-4031	221	6	,	,	PUNCT
ejpam-4031	221	7	33(3	33(3	NOUN
ejpam-4031	221	8	-	-	NOUN
ejpam-4031	221	9	4):251–261	4):251–261	NOUN
ejpam-4031	221	10	,	,	PUNCT
ejpam-4031	221	11	1990	1990	NUM
ejpam-4031	221	12	.	.	PUNCT
ejpam-4031	222	1	[	[	X
ejpam-4031	222	2	10	10	NUM
ejpam-4031	222	3	]	]	X
ejpam-4031	222	4	yiannis	yiannis	PROPN
ejpam-4031	222	5	g	g	PROPN
ejpam-4031	222	6	saridakis	saridakis	PROPN
ejpam-4031	222	7	.	.	PUNCT
ejpam-4031	223	1	generalized	generalize	VERB
ejpam-4031	223	2	consistent	consistent	ADJ
ejpam-4031	223	3	orderings	ordering	NOUN
ejpam-4031	223	4	and	and	CCONJ
ejpam-4031	223	5	the	the	DET
ejpam-4031	223	6	accelerated	accelerated	ADJ
ejpam-4031	223	7	overrelaxation	overrelaxation	NOUN
ejpam-4031	223	8	method	method	NOUN
ejpam-4031	223	9	.	.	PUNCT
ejpam-4031	224	1	bit	bit	NOUN
ejpam-4031	224	2	numerical	numerical	ADJ
ejpam-4031	224	3	mathematics	mathematic	NOUN
ejpam-4031	224	4	,	,	PUNCT
ejpam-4031	224	5	26(3):369–376	26(3):369–376	NUM
ejpam-4031	224	6	,	,	PUNCT
ejpam-4031	224	7	1986	1986	NUM
ejpam-4031	224	8	.	.	PUNCT
ejpam-4031	225	1	[	[	X
ejpam-4031	225	2	11	11	NUM
ejpam-4031	225	3	]	]	X
ejpam-4031	225	4	richard	richard	PROPN
ejpam-4031	225	5	s	s	PROPN
ejpam-4031	225	6	varga	varga	PROPN
ejpam-4031	225	7	.	.	PUNCT
ejpam-4031	225	8	iterative	iterative	NOUN
ejpam-4031	225	9	analysis	analysis	NOUN
ejpam-4031	225	10	.	.	PUNCT
ejpam-4031	226	1	springer	springer	NOUN
ejpam-4031	226	2	,	,	PUNCT
ejpam-4031	226	3	1962	1962	NUM
ejpam-4031	226	4	.	.	PUNCT
ejpam-4031	227	1	[	[	X
ejpam-4031	227	2	12	12	NUM
ejpam-4031	227	3	]	]	X
ejpam-4031	227	4	david	david	PROPN
ejpam-4031	227	5	m	m	PROPN
ejpam-4031	227	6	young	young	PROPN
ejpam-4031	227	7	.	.	PUNCT
ejpam-4031	228	1	iterative	iterative	NOUN
ejpam-4031	228	2	solution	solution	NOUN
ejpam-4031	228	3	of	of	ADP
ejpam-4031	228	4	large	large	ADJ
ejpam-4031	228	5	linear	linear	NOUN
ejpam-4031	228	6	systems	system	NOUN
ejpam-4031	228	7	.	.	PUNCT
ejpam-4031	229	1	elsevier	elsevier	NOUN
ejpam-4031	229	2	,	,	PUNCT
ejpam-4031	229	3	2014	2014	NUM
ejpam-4031	229	4	.	.	PUNCT
ejpam-4031	230	1	[	[	X
ejpam-4031	230	2	13	13	NUM
ejpam-4031	230	3	]	]	PUNCT
ejpam-4031	230	4	ws	ws	NOUN
ejpam-4031	230	5	yousif	yousif	PROPN
ejpam-4031	230	6	and	and	CCONJ
ejpam-4031	230	7	dj	dj	X
ejpam-4031	230	8	evans	evan	NOUN
ejpam-4031	230	9	.	.	PUNCT
ejpam-4031	231	1	explicit	explicit	ADJ
ejpam-4031	231	2	group	group	NOUN
ejpam-4031	231	3	over	over	ADP
ejpam-4031	231	4	-	-	PUNCT
ejpam-4031	231	5	relaxation	relaxation	NOUN
ejpam-4031	231	6	methods	method	NOUN
ejpam-4031	231	7	for	for	ADP
ejpam-4031	231	8	solving	solve	VERB
ejpam-4031	231	9	elliptic	elliptic	ADJ
ejpam-4031	231	10	partial	partial	ADJ
ejpam-4031	231	11	differential	differential	NOUN
ejpam-4031	231	12	equations	equation	NOUN
ejpam-4031	231	13	.	.	PUNCT
ejpam-4031	232	1	mathematics	mathematic	NOUN
ejpam-4031	232	2	and	and	CCONJ
ejpam-4031	232	3	computers	computer	NOUN
ejpam-4031	232	4	in	in	ADP
ejpam-4031	232	5	simulation	simulation	NOUN
ejpam-4031	232	6	,	,	PUNCT
ejpam-4031	232	7	28(6):453	28(6):453	NUM
ejpam-4031	232	8	–	–	PUNCT
ejpam-4031	232	9	466	466	NUM
ejpam-4031	232	10	,	,	PUNCT
ejpam-4031	232	11	1986	1986	NUM
ejpam-4031	232	12	.	.	PUNCT