id	sid	tid	token	lemma	pos
cana-1618	1	1	communications	communication	NOUN
cana-1618	1	2	on	on	ADP
cana-1618	1	3	applied	apply	VERB
cana-1618	1	4	nonlinear	nonlinear	ADJ
cana-1618	1	5	analysis	analysis	NOUN
cana-1618	1	6	issn	issn	NOUN
cana-1618	1	7	:	:	PUNCT
cana-1618	1	8	1074	1074	NUM
cana-1618	1	9	-	-	PUNCT
cana-1618	1	10	133x	133x	NUM
cana-1618	1	11	vol	vol	NOUN
cana-1618	1	12	32	32	NUM
cana-1618	1	13	no	no	NOUN
cana-1618	1	14	.	.	NOUN
cana-1618	1	15	1	1	NUM
cana-1618	1	16	(	(	PUNCT
cana-1618	1	17	2025	2025	NUM
cana-1618	1	18	)	)	PUNCT
cana-1618	1	19	23	23	NUM
cana-1618	2	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	2	2	parallel	parallel	ADJ
cana-1618	2	3	computing	computing	NOUN
cana-1618	2	4	techniques	technique	NOUN
cana-1618	2	5	for	for	ADP
cana-1618	2	6	solving	solve	VERB
cana-1618	2	7	large	large	ADJ
cana-1618	2	8	-	-	PUNCT
cana-1618	2	9	scale	scale	NOUN
cana-1618	2	10	partial	partial	ADJ
cana-1618	2	11	differential	differential	NOUN
cana-1618	2	12	equation	equation	NOUN
cana-1618	2	13	mr	mr	PROPN
cana-1618	2	14	.	.	PROPN
cana-1618	2	15	vinayak	vinayak	PROPN
cana-1618	2	16	kishan	kishan	PROPN
cana-1618	2	17	nirmale1	nirmale1	PROPN
cana-1618	2	18	,	,	PUNCT
cana-1618	2	19	mrs	mrs	PROPN
cana-1618	2	20	.	.	PROPN
cana-1618	2	21	s	s	PART
cana-1618	2	22	hemalatha2	hemalatha2	PROPN
cana-1618	2	23	,	,	PUNCT
cana-1618	2	24	dr	dr	PROPN
cana-1618	2	25	.	.	PROPN
cana-1618	2	26	k.	k.	PROPN
cana-1618	3	1	santosh	santosh	PROPN
cana-1618	3	2	reddy3	reddy3	PROPN
cana-1618	3	3	,	,	PUNCT
cana-1618	3	4	dr	dr	PROPN
cana-1618	3	5	.	.	PROPN
cana-1618	3	6	ashok	ashok	PROPN
cana-1618	3	7	reddy	reddy	PROPN
cana-1618	3	8	thontla4	thontla4	PROPN
cana-1618	3	9	,	,	PUNCT
cana-1618	3	10	dr	dr	PROPN
cana-1618	3	11	.	.	PROPN
cana-1618	3	12	pamarthi	pamarthi	PROPN
cana-1618	3	13	sunitha5	sunitha5	PROPN
cana-1618	3	14	,	,	PUNCT
cana-1618	3	15	dr	dr	PROPN
cana-1618	3	16	.	.	PROPN
cana-1618	3	17	t.	t.	PROPN
cana-1618	3	18	lawanya6	lawanya6	PROPN
cana-1618	3	19	,	,	PUNCT
cana-1618	3	20	mr	mr	PROPN
cana-1618	3	21	.	.	PROPN
cana-1618	3	22	divvela	divvela	PROPN
cana-1618	3	23	surendra7	surendra7	PROPN
cana-1618	3	24	,	,	PUNCT
cana-1618	3	25	1lecturer	1lecturer	NUM
cana-1618	3	26	in	in	ADP
cana-1618	3	27	mathematics	mathematic	NOUN
cana-1618	3	28	,	,	PUNCT
cana-1618	3	29	department	department	NOUN
cana-1618	3	30	of	of	ADP
cana-1618	3	31	polytechnic	polytechnic	ADJ
cana-1618	3	32	,	,	PUNCT
cana-1618	3	33	mit	mit	NOUN
cana-1618	3	34	world	world	NOUN
cana-1618	3	35	peace	peace	NOUN
cana-1618	3	36	university	university	PROPN
cana-1618	3	37	,	,	PUNCT
cana-1618	3	38	pune	pune	NOUN
cana-1618	3	39	,	,	PUNCT
cana-1618	3	40	maharashtra	maharashtra	PROPN
cana-1618	3	41	,	,	PUNCT
cana-1618	3	42	india	india	PROPN
cana-1618	3	43	,	,	PUNCT
cana-1618	3	44	pincode	pincode	PROPN
cana-1618	3	45	:	:	PUNCT
cana-1618	3	46	411038	411038	NUM
cana-1618	3	47	.	.	PUNCT
cana-1618	4	1	email	email	NOUN
cana-1618	4	2	:	:	PUNCT
cana-1618	4	3	vinayak.nirmale@mitwpu.edu.in	vinayak.nirmale@mitwpu.edu.in	VERB
cana-1618	4	4	2assistant	2assistant	NUM
cana-1618	4	5	professor	professor	NOUN
cana-1618	4	6	,	,	PUNCT
cana-1618	4	7	sir	sir	NOUN
cana-1618	4	8	c	c	PROPN
cana-1618	4	9	r	r	PROPN
cana-1618	4	10	reddy	reddy	PROPN
cana-1618	4	11	college	college	PROPN
cana-1618	4	12	of	of	ADP
cana-1618	4	13	engineering	engineering	NOUN
cana-1618	4	14	(	(	PUNCT
cana-1618	4	15	affiliated	affiliate	VERB
cana-1618	4	16	by	by	ADP
cana-1618	4	17	jntu	jntu	PROPN
cana-1618	4	18	kakinada	kakinada	PROPN
cana-1618	4	19	)	)	PUNCT
cana-1618	4	20	,	,	PUNCT
cana-1618	4	21	eluru	eluru	PROPN
cana-1618	4	22	,	,	PUNCT
cana-1618	4	23	andhra	andhra	PROPN
cana-1618	4	24	pradesh	pradesh	PROPN
cana-1618	4	25	,	,	PUNCT
cana-1618	4	26	india	india	PROPN
cana-1618	4	27	,	,	PUNCT
cana-1618	4	28	pincode	pincode	PROPN
cana-1618	4	29	:	:	PUNCT
cana-1618	4	30	534007	534007	NUM
cana-1618	4	31	email	email	NOUN
cana-1618	4	32	i	i	PROPN
cana-1618	4	33	d	d	PROPN
cana-1618	4	34	:	:	PUNCT
cana-1618	4	35	hematrinadh25@gmail.com	hematrinadh25@gmail.com	X
cana-1618	5	1	3assistant	3assistant	NUM
cana-1618	5	2	professor	professor	NOUN
cana-1618	5	3	of	of	ADP
cana-1618	5	4	mathematics	mathematics	PROPN
cana-1618	5	5	,	,	PUNCT
cana-1618	5	6	vardhaman	vardhaman	NOUN
cana-1618	5	7	college	college	NOUN
cana-1618	5	8	of	of	ADP
cana-1618	5	9	engineering	engineering	PROPN
cana-1618	5	10	,	,	PUNCT
cana-1618	5	11	hyderabad	hyderabad	PROPN
cana-1618	5	12	,	,	PUNCT
cana-1618	5	13	telangana	telangana	PROPN
cana-1618	5	14	,	,	PUNCT
cana-1618	5	15	india	india	PROPN
cana-1618	5	16	,	,	PUNCT
cana-1618	5	17	pincode	pincode	ADJ
cana-1618	5	18	:	:	PUNCT
cana-1618	5	19	501218	501218	NUM
cana-1618	5	20	,	,	PUNCT
cana-1618	5	21	email	email	NOUN
cana-1618	5	22	i	i	PROPN
cana-1618	5	23	d	d	PROPN
cana-1618	5	24	:	:	PUNCT
cana-1618	5	25	santureddyk@gmail.com	santureddyk@gmail.com	X
cana-1618	6	1	4manager	4manager	NUM
cana-1618	6	2	analytics	analytic	NOUN
cana-1618	6	3	,	,	PUNCT
cana-1618	6	4	department	department	NOUN
cana-1618	6	5	of	of	ADP
cana-1618	6	6	it	it	PRON
cana-1618	6	7	,	,	PUNCT
cana-1618	6	8	cognizant	cognizant	ADJ
cana-1618	6	9	srihanuman	srihanuman	NOUN
cana-1618	6	10	arcade	arcade	NOUN
cana-1618	6	11	,	,	PUNCT
cana-1618	6	12	kphb	kphb	NOUN
cana-1618	6	13	9	9	NUM
cana-1618	6	14	phase	phase	NOUN
cana-1618	6	15	,	,	PUNCT
cana-1618	6	16	hyderabad	hyderabad	PROPN
cana-1618	6	17	,	,	PUNCT
cana-1618	6	18	india	india	PROPN
cana-1618	6	19	,	,	PUNCT
cana-1618	6	20	pincode	pincode	ADJ
cana-1618	6	21	:	:	PUNCT
cana-1618	6	22	500085	500085	NUM
cana-1618	6	23	email	email	NOUN
cana-1618	6	24	i	i	PROPN
cana-1618	6	25	d	d	PROPN
cana-1618	6	26	:	:	PUNCT
cana-1618	6	27	ashokthontla@gmail.com	ashokthontla@gmail.com	X
cana-1618	7	1	5associate	5associate	NUM
cana-1618	7	2	professor	professor	NOUN
cana-1618	7	3	,	,	PUNCT
cana-1618	7	4	department	department	NOUN
cana-1618	7	5	of	of	ADP
cana-1618	7	6	electronics	electronic	NOUN
cana-1618	7	7	and	and	CCONJ
cana-1618	7	8	communication	communication	NOUN
cana-1618	7	9	engineering	engineering	NOUN
cana-1618	7	10	,	,	PUNCT
cana-1618	7	11	aditya	aditya	PROPN
cana-1618	7	12	engineering	engineering	PROPN
cana-1618	7	13	college	college	PROPN
cana-1618	7	14	(	(	PUNCT
cana-1618	7	15	a	a	NOUN
cana-1618	7	16	)	)	PUNCT
cana-1618	7	17	,	,	PUNCT
cana-1618	7	18	surampalem	surampalem	NOUN
cana-1618	7	19	,	,	PUNCT
cana-1618	7	20	kakinada	kakinada	PROPN
cana-1618	7	21	,	,	PUNCT
cana-1618	7	22	andhra	andhra	PROPN
cana-1618	7	23	pradesh	pradesh	PROPN
cana-1618	7	24	,	,	PUNCT
cana-1618	7	25	india	india	PROPN
cana-1618	7	26	,	,	PUNCT
cana-1618	7	27	pincode	pincode	PROPN
cana-1618	7	28	:	:	PUNCT
cana-1618	7	29	533437	533437	NUM
cana-1618	7	30	.	.	PUNCT
cana-1618	8	1	email	email	NOUN
cana-1618	8	2	i	i	PROPN
cana-1618	8	3	d	d	PROPN
cana-1618	8	4	:	:	PUNCT
cana-1618	8	5	sunitha4949@gmail.com	sunitha4949@gmail.com	X
cana-1618	9	1	6assistant	6assistant	NUM
cana-1618	9	2	professor	professor	NOUN
cana-1618	9	3	,	,	PUNCT
cana-1618	9	4	department	department	NOUN
cana-1618	9	5	of	of	ADP
cana-1618	9	6	mathematics	mathematic	NOUN
cana-1618	9	7	,	,	PUNCT
cana-1618	9	8	saveetha	saveetha	PROPN
cana-1618	9	9	school	school	PROPN
cana-1618	9	10	of	of	ADP
cana-1618	9	11	engineering	engineering	NOUN
cana-1618	9	12	,	,	PUNCT
cana-1618	9	13	technical	technical	ADJ
cana-1618	9	14	sciences	sciences	PROPN
cana-1618	9	15	,	,	PUNCT
cana-1618	9	16	thandalam	thandalam	PROPN
cana-1618	9	17	,	,	PUNCT
cana-1618	9	18	chennai	chennai	PROPN
cana-1618	9	19	,	,	PUNCT
cana-1618	9	20	tamilnadu	tamilnadu	NOUN
cana-1618	9	21	,	,	PUNCT
cana-1618	9	22	india	india	PROPN
cana-1618	9	23	,	,	PUNCT
cana-1618	9	24	pincode	pincode	PROPN
cana-1618	9	25	:	:	PUNCT
cana-1618	9	26	602105	602105	NUM
cana-1618	9	27	,	,	PUNCT
cana-1618	9	28	email	email	NOUN
cana-1618	9	29	i	i	PROPN
cana-1618	9	30	d	d	PROPN
cana-1618	9	31	:	:	PUNCT
cana-1618	9	32	lawanya.thangaraju@gmail.com	lawanya.thangaraju@gmail.com	X
cana-1618	9	33	7assistant	7assistant	NUM
cana-1618	9	34	professor	professor	NOUN
cana-1618	9	35	,	,	PUNCT
cana-1618	9	36	department	department	PROPN
cana-1618	9	37	of	of	ADP
cana-1618	9	38	english	english	PROPN
cana-1618	9	39	,	,	PUNCT
cana-1618	9	40	koneru	koneru	PROPN
cana-1618	9	41	lakshmaiah	lakshmaiah	PROPN
cana-1618	9	42	education	education	PROPN
cana-1618	9	43	foundation	foundation	PROPN
cana-1618	9	44	(	(	PUNCT
cana-1618	9	45	kl	kl	PROPN
cana-1618	9	46	deemed	deem	VERB
cana-1618	9	47	to	to	PART
cana-1618	9	48	be	be	AUX
cana-1618	9	49	university	university	NOUN
cana-1618	9	50	)	)	PUNCT
cana-1618	9	51	,	,	PUNCT
cana-1618	9	52	vaddeswaram	vaddeswaram	PROPN
cana-1618	9	53	,	,	PUNCT
cana-1618	9	54	guntur	guntur	PROPN
cana-1618	9	55	,	,	PUNCT
cana-1618	9	56	andhra	andhra	PROPN
cana-1618	9	57	pradesh	pradesh	PROPN
cana-1618	9	58	,	,	PUNCT
cana-1618	9	59	india	india	PROPN
cana-1618	9	60	,	,	PUNCT
cana-1618	9	61	pin	pin	PROPN
cana-1618	9	62	code	code	NOUN
cana-1618	9	63	:	:	PUNCT
cana-1618	9	64	522502	522502	NUM
cana-1618	9	65	.	.	PUNCT
cana-1618	10	1	email	email	NOUN
cana-1618	10	2	:	:	PUNCT
cana-1618	10	3	dsurendra@kluniversity.in	dsurendra@kluniversity.in	PROPN
cana-1618	10	4	article	article	NOUN
cana-1618	10	5	history	history	NOUN
cana-1618	10	6	:	:	PUNCT
cana-1618	10	7	received	receive	VERB
cana-1618	10	8	:	:	PUNCT
cana-1618	10	9	05	05	NUM
cana-1618	10	10	-	-	PUNCT
cana-1618	10	11	07	07	NUM
cana-1618	10	12	-	-	PUNCT
cana-1618	10	13	2024	2024	NUM
cana-1618	10	14	revised	revise	VERB
cana-1618	10	15	:	:	PUNCT
cana-1618	10	16	20	20	NUM
cana-1618	10	17	-	-	SYM
cana-1618	10	18	08	08	NUM
cana-1618	10	19	-	-	PUNCT
cana-1618	10	20	2024	2024	NUM
cana-1618	10	21	accepted	accept	VERB
cana-1618	10	22	:	:	PUNCT
cana-1618	10	23	02	02	NUM
cana-1618	10	24	-	-	PUNCT
cana-1618	10	25	09	09	NUM
cana-1618	10	26	-	-	PUNCT
cana-1618	10	27	2024	2024	NUM
cana-1618	10	28	abstract	abstract	NOUN
cana-1618	10	29	:	:	PUNCT
cana-1618	10	30	two	two	NUM
cana-1618	10	31	-	-	PUNCT
cana-1618	10	32	layered	layer	VERB
cana-1618	10	33	partial	partial	ADJ
cana-1618	10	34	differential	differential	NOUN
cana-1618	10	35	equations	equation	NOUN
cana-1618	10	36	(	(	PUNCT
cana-1618	10	37	pdes	pde	NOUN
cana-1618	10	38	)	)	PUNCT
cana-1618	10	39	will	will	AUX
cana-1618	10	40	be	be	AUX
cana-1618	10	41	structured	structure	VERB
cana-1618	10	42	in	in	ADP
cana-1618	10	43	this	this	DET
cana-1618	10	44	investigation	investigation	NOUN
cana-1618	10	45	using	use	VERB
cana-1618	10	46	a	a	DET
cana-1618	10	47	variety	variety	NOUN
cana-1618	10	48	of	of	ADP
cana-1618	10	49	parallel	parallel	ADJ
cana-1618	10	50	mathematical	mathematical	ADJ
cana-1618	10	51	techniques	technique	NOUN
cana-1618	10	52	,	,	PUNCT
cana-1618	10	53	such	such	ADJ
cana-1618	10	54	as	as	ADP
cana-1618	10	55	red	red	PROPN
cana-1618	10	56	dull	dull	PROPN
cana-1618	10	57	gauss	gauss	PROPN
cana-1618	10	58	seidel	seidel	PROPN
cana-1618	10	59	and	and	CCONJ
cana-1618	10	60	gauss	gauss	PROPN
cana-1618	10	61	seidel	seidel	PROPN
cana-1618	10	62	.	.	PUNCT
cana-1618	11	1	for	for	ADP
cana-1618	11	2	the	the	DET
cana-1618	11	3	solution	solution	NOUN
cana-1618	11	4	of	of	ADP
cana-1618	11	5	this	this	DET
cana-1618	11	6	study	study	NOUN
cana-1618	11	7	,	,	PUNCT
cana-1618	11	8	the	the	DET
cana-1618	11	9	two	two	NUM
cana-1618	11	10	-	-	PUNCT
cana-1618	11	11	layered	layer	VERB
cana-1618	11	12	pdes	pde	NOUN
cana-1618	11	13	of	of	ADP
cana-1618	11	14	the	the	DET
cana-1618	11	15	elliptic	elliptic	ADJ
cana-1618	11	16	and	and	CCONJ
cana-1618	11	17	illustrated	illustrate	VERB
cana-1618	11	18	sorts	sort	NOUN
cana-1618	11	19	were	be	AUX
cana-1618	11	20	selected	select	VERB
cana-1618	11	21	.	.	PUNCT
cana-1618	12	1	parallel	parallel	ADJ
cana-1618	12	2	virtual	virtual	ADJ
cana-1618	12	3	machine	machine	NOUN
cana-1618	12	4	(	(	PUNCT
cana-1618	12	5	pvm	pvm	NOUN
cana-1618	12	6	)	)	PUNCT
cana-1618	12	7	is	be	AUX
cana-1618	12	8	used	use	VERB
cana-1618	12	9	on	on	ADP
cana-1618	12	10	the	the	DET
cana-1618	12	11	correspondence	correspondence	NOUN
cana-1618	12	12	among	among	ADP
cana-1618	12	13	all	all	DET
cana-1618	12	14	chips	chip	NOUN
cana-1618	12	15	of	of	ADP
cana-1618	12	16	the	the	DET
cana-1618	12	17	parallel	parallel	ADJ
cana-1618	12	18	handling	handling	NOUN
cana-1618	12	19	system	system	NOUN
cana-1618	12	20	.	.	PUNCT
cana-1618	13	1	pvm	pvm	NOUN
cana-1618	13	2	is	be	AUX
cana-1618	13	3	well	well	ADV
cana-1618	13	4	-	-	PUNCT
cana-1618	13	5	known	know	VERB
cana-1618	13	6	for	for	ADP
cana-1618	13	7	its	its	PRON
cana-1618	13	8	item	item	NOUN
cana-1618	13	9	system	system	NOUN
cana-1618	13	10	,	,	PUNCT
cana-1618	13	11	which	which	PRON
cana-1618	13	12	enables	enable	VERB
cana-1618	13	13	several	several	ADJ
cana-1618	13	14	diverse	diverse	ADJ
cana-1618	13	15	computers	computer	NOUN
cana-1618	13	16	to	to	PART
cana-1618	13	17	be	be	AUX
cana-1618	13	18	used	use	VERB
cana-1618	13	19	as	as	ADP
cana-1618	13	20	flexible	flexible	ADJ
cana-1618	13	21	and	and	CCONJ
cana-1618	13	22	easyto	easyto	NOUN
cana-1618	13	23	-	-	PUNCT
cana-1618	13	24	use	use	NOUN
cana-1618	13	25	concurrent	concurrent	ADJ
cana-1618	13	26	handling	handling	NOUN
cana-1618	13	27	resources	resource	NOUN
cana-1618	13	28	.	.	PUNCT
cana-1618	14	1	an	an	DET
cana-1618	14	2	evaluation	evaluation	NOUN
cana-1618	14	3	of	of	ADP
cana-1618	14	4	the	the	DET
cana-1618	14	5	parallel	parallel	ADJ
cana-1618	14	6	exhibition	exhibition	NOUN
cana-1618	14	7	assessment	assessment	NOUN
cana-1618	14	8	including	include	VERB
cana-1618	14	9	the	the	DET
cana-1618	14	10	gauss	gauss	PROPN
cana-1618	14	11	seidel	seidel	PROPN
cana-1618	14	12	and	and	CCONJ
cana-1618	14	13	red	red	PROPN
cana-1618	14	14	gauss	gauss	PROPN
cana-1618	14	15	seidel	seidel	PROPN
cana-1618	14	16	techniques	technique	NOUN
cana-1618	14	17	in	in	ADP
cana-1618	14	18	terms	term	NOUN
cana-1618	14	19	of	of	ADP
cana-1618	14	20	execution	execution	NOUN
cana-1618	14	21	time	time	NOUN
cana-1618	14	22	,	,	PUNCT
cana-1618	14	23	speed	speed	NOUN
cana-1618	14	24	,	,	PUNCT
cana-1618	14	25	capability	capability	NOUN
cana-1618	14	26	,	,	PUNCT
cana-1618	14	27	ampleness	ampleness	NOUN
cana-1618	14	28	,	,	PUNCT
cana-1618	14	29	and	and	CCONJ
cana-1618	14	30	transient	transient	ADJ
cana-1618	14	31	execution	execution	NOUN
cana-1618	14	32	will	will	AUX
cana-1618	14	33	follow	follow	VERB
cana-1618	14	34	the	the	DET
cana-1618	14	35	graphical	graphical	ADJ
cana-1618	14	36	presentation	presentation	NOUN
cana-1618	14	37	of	of	ADP
cana-1618	14	38	the	the	DET
cana-1618	14	39	mathematical	mathematical	ADJ
cana-1618	14	40	results	result	NOUN
cana-1618	14	41	.	.	PUNCT
cana-1618	15	1	since	since	SCONJ
cana-1618	15	2	the	the	DET
cana-1618	15	3	goal	goal	NOUN
cana-1618	15	4	of	of	ADP
cana-1618	15	5	this	this	DET
cana-1618	15	6	work	work	NOUN
cana-1618	15	7	was	be	AUX
cana-1618	15	8	to	to	PART
cana-1618	15	9	create	create	VERB
cana-1618	15	10	a	a	DET
cana-1618	15	11	successful	successful	ADJ
cana-1618	15	12	two	two	NUM
cana-1618	15	13	-	-	PUNCT
cana-1618	15	14	dimensional	dimensional	ADJ
cana-1618	15	15	pde	pde	NOUN
cana-1618	15	16	solver	solver	NOUN
cana-1618	15	17	(	(	PUNCT
cana-1618	15	18	tdpdes	tdpde	NOUN
cana-1618	15	19	)	)	PUNCT
cana-1618	15	20	,	,	PUNCT
cana-1618	15	21	performance	performance	NOUN
cana-1618	15	22	evaluations	evaluation	NOUN
cana-1618	15	23	are	be	AUX
cana-1618	15	24	simple	simple	ADJ
cana-1618	15	25	.	.	PUNCT
cana-1618	16	1	numerous	numerous	ADJ
cana-1618	16	2	design	design	NOUN
cana-1618	16	3	and	and	CCONJ
cana-1618	16	4	mathematical	mathematical	ADJ
cana-1618	16	5	sectors	sector	NOUN
cana-1618	16	6	will	will	AUX
cana-1618	16	7	see	see	VERB
cana-1618	16	8	an	an	DET
cana-1618	16	9	improvement	improvement	NOUN
cana-1618	16	10	in	in	ADP
cana-1618	16	11	their	their	PRON
cana-1618	16	12	examination	examination	NOUN
cana-1618	16	13	and	and	CCONJ
cana-1618	16	14	investigation	investigation	NOUN
cana-1618	16	15	systems	system	NOUN
cana-1618	16	16	thanks	thank	NOUN
cana-1618	16	17	to	to	ADP
cana-1618	16	18	this	this	DET
cana-1618	16	19	new	new	ADJ
cana-1618	16	20	,	,	PUNCT
cana-1618	16	21	effective	effective	ADJ
cana-1618	16	22	tdpdes	tdpde	NOUN
cana-1618	16	23	technology	technology	NOUN
cana-1618	16	24	..	..	PUNCT
cana-1618	17	1	keywords	keyword	NOUN
cana-1618	17	2	:	:	PUNCT
cana-1618	17	3	partial	partial	ADJ
cana-1618	17	4	differential	differential	ADJ
cana-1618	17	5	equations	equation	NOUN
cana-1618	17	6	in	in	ADP
cana-1618	17	7	two	two	NUM
cana-1618	17	8	dimensions	dimension	NOUN
cana-1618	17	9	;	;	PUNCT
cana-1618	17	10	parallel	parallel	ADJ
cana-1618	17	11	numerical	numerical	ADJ
cana-1618	17	12	methods	method	NOUN
cana-1618	17	13	;	;	PUNCT
cana-1618	17	14	hyperbolic	hyperbolic	ADJ
cana-1618	17	15	,	,	PUNCT
cana-1618	17	16	elliptic	elliptic	ADJ
cana-1618	17	17	,	,	PUNCT
cana-1618	17	18	and	and	CCONJ
cana-1618	17	19	parabolic	parabolic	NOUN
cana-1618	17	20	;	;	PUNCT
cana-1618	17	21	performance	performance	NOUN
cana-1618	17	22	evaluation	evaluation	NOUN
cana-1618	17	23	.	.	PUNCT
cana-1618	18	1	1	1	X
cana-1618	18	2	.	.	X
cana-1618	18	3	introduction	introduction	NOUN
cana-1618	18	4	a	a	DET
cana-1618	18	5	significant	significant	ADJ
cana-1618	18	6	role	role	NOUN
cana-1618	18	7	for	for	ADP
cana-1618	18	8	partial	partial	ADJ
cana-1618	18	9	differential	differential	ADJ
cana-1618	18	10	equations	equation	NOUN
cana-1618	18	11	is	be	AUX
cana-1618	18	12	assumed	assume	VERB
cana-1618	18	13	in	in	ADP
cana-1618	18	14	many	many	ADJ
cana-1618	18	15	fields	field	NOUN
cana-1618	18	16	of	of	ADP
cana-1618	18	17	research	research	NOUN
cana-1618	18	18	and	and	CCONJ
cana-1618	18	19	design	design	NOUN
cana-1618	18	20	.	.	PUNCT
cana-1618	19	1	due	due	ADP
cana-1618	19	2	to	to	ADP
cana-1618	19	3	the	the	DET
cana-1618	19	4	intricacy	intricacy	NOUN
cana-1618	19	5	of	of	ADP
cana-1618	19	6	settling	settle	VERB
cana-1618	19	7	partial	partial	ADJ
cana-1618	19	8	differential	differential	NOUN
cana-1618	19	9	equations	equation	NOUN
cana-1618	19	10	,	,	PUNCT
cana-1618	19	11	it	it	PRON
cana-1618	19	12	is	be	AUX
cana-1618	19	13	frequently	frequently	ADV
cana-1618	19	14	wanted	want	VERB
cana-1618	19	15	to	to	PART
cana-1618	19	16	utilize	utilize	VERB
cana-1618	19	17	pcs	pc	NOUN
cana-1618	19	18	to	to	PART
cana-1618	19	19	mathematically	mathematically	ADV
cana-1618	19	20	decide	decide	VERB
cana-1618	19	21	the	the	DET
cana-1618	19	22	arrangements	arrangement	NOUN
cana-1618	19	23	.	.	PUNCT
cana-1618	20	1	the	the	DET
cana-1618	20	2	limited	limited	ADJ
cana-1618	20	3	contrast	contrast	NOUN
cana-1618	20	4	strategy	strategy	NOUN
cana-1618	20	5	,	,	PUNCT
cana-1618	20	6	which	which	PRON
cana-1618	20	7	repeats	repeat	VERB
cana-1618	20	8	towards	towards	ADP
cana-1618	20	9	an	an	DET
cana-1618	20	10	answer	answer	NOUN
cana-1618	20	11	given	give	VERB
cana-1618	20	12	a	a	DET
cana-1618	20	13	few	few	ADJ
cana-1618	20	14	beginning	beginning	NOUN
cana-1618	20	15	conditions	condition	NOUN
cana-1618	20	16	,	,	PUNCT
cana-1618	20	17	is	be	AUX
cana-1618	20	18	a	a	DET
cana-1618	20	19	common	common	ADJ
cana-1618	20	20	methodology	methodology	NOUN
cana-1618	20	21	for	for	ADP
cana-1618	20	22	solving	solve	VERB
cana-1618	20	23	such	such	ADJ
cana-1618	20	24	equations	equation	NOUN
cana-1618	20	25	.	.	PUNCT
cana-1618	21	1	the	the	DET
cana-1618	21	2	mailto:vinayak.nirmale@mitwpu.edu.in	mailto:vinayak.nirmale@mitwpu.edu.in	PROPN
cana-1618	21	3	mailto:hematrinadh25@gmail.com	mailto:hematrinadh25@gmail.com	NOUN
cana-1618	21	4	mailto:santureddyk@gmail.com	mailto:santureddyk@gmail.com	PROPN
cana-1618	21	5	mailto:ashokthontla@gmail.com	mailto:ashokthontla@gmail.com	X
cana-1618	21	6	mailto:sunitha4949@gmail.com	mailto:sunitha4949@gmail.com	ADJ
cana-1618	21	7	mailto:lawanya.thangaraju@gmail.com	mailto:lawanya.thangaraju@gmail.com	NOUN
cana-1618	21	8	mailto:dsurendra@kluniversity.in	mailto:dsurendra@kluniversity.in	PROPN
cana-1618	21	9	communications	communication	NOUN
cana-1618	21	10	on	on	ADP
cana-1618	21	11	applied	apply	VERB
cana-1618	21	12	nonlinear	nonlinear	ADJ
cana-1618	21	13	analysis	analysis	NOUN
cana-1618	21	14	issn	issn	NOUN
cana-1618	21	15	:	:	PUNCT
cana-1618	21	16	1074	1074	NUM
cana-1618	21	17	-	-	PUNCT
cana-1618	21	18	133x	133x	NUM
cana-1618	21	19	vol	vol	NOUN
cana-1618	21	20	32	32	NUM
cana-1618	21	21	no	no	NOUN
cana-1618	21	22	.	.	NOUN
cana-1618	21	23	1	1	NUM
cana-1618	21	24	(	(	PUNCT
cana-1618	21	25	2025	2025	NUM
cana-1618	21	26	)	)	PUNCT
cana-1618	21	27	24	24	NUM
cana-1618	21	28	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	21	29	boring	boring	ADJ
cana-1618	21	30	concept	concept	NOUN
cana-1618	21	31	of	of	ADP
cana-1618	21	32	the	the	DET
cana-1618	21	33	layout	layout	NOUN
cana-1618	21	34	calculation	calculation	NOUN
cana-1618	21	35	makes	make	VERB
cana-1618	21	36	this	this	DET
cana-1618	21	37	approach	approach	NOUN
cana-1618	21	38	particularly	particularly	ADV
cana-1618	21	39	well	well	ADV
cana-1618	21	40	-	-	PUNCT
cana-1618	21	41	suited	suit	VERB
cana-1618	21	42	to	to	ADP
cana-1618	21	43	pc	pc	NOUN
cana-1618	21	44	arrangement	arrangement	NOUN
cana-1618	21	45	.	.	PUNCT
cana-1618	22	1	all	all	DET
cana-1618	22	2	things	thing	NOUN
cana-1618	22	3	considered	consider	VERB
cana-1618	22	4	,	,	PUNCT
cana-1618	22	5	large	large	ADJ
cana-1618	22	6	,	,	PUNCT
cana-1618	22	7	high	high	ADJ
cana-1618	22	8	performance	performance	NOUN
cana-1618	22	9	pc	pc	NOUN
cana-1618	22	10	frameworks	framework	NOUN
cana-1618	22	11	have	have	AUX
cana-1618	22	12	been	be	AUX
cana-1618	22	13	used	use	VERB
cana-1618	22	14	to	to	PART
cana-1618	22	15	test	test	VERB
cana-1618	22	16	limited	limited	ADJ
cana-1618	22	17	contrast	contrast	NOUN
cana-1618	22	18	methodologies	methodology	NOUN
cana-1618	22	19	,	,	PUNCT
cana-1618	22	20	and	and	CCONJ
cana-1618	22	21	the	the	DET
cana-1618	22	22	arrangement	arrangement	NOUN
cana-1618	22	23	techniques	technique	NOUN
cana-1618	22	24	used	use	VERB
cana-1618	22	25	on	on	ADP
cana-1618	22	26	these	these	DET
cana-1618	22	27	frameworks	framework	NOUN
cana-1618	22	28	are	be	AUX
cana-1618	22	29	noteworthy	noteworthy	ADJ
cana-1618	22	30	.	.	PUNCT
cana-1618	23	1	nonetheless	nonetheless	ADV
cana-1618	23	2	,	,	PUNCT
cana-1618	23	3	as	as	ADP
cana-1618	23	4	of	of	ADP
cana-1618	23	5	late	late	ADJ
cana-1618	23	6	,	,	PUNCT
cana-1618	23	7	the	the	DET
cana-1618	23	8	formation	formation	NOUN
cana-1618	23	9	of	of	ADP
cana-1618	23	10	enormously	enormously	ADV
cana-1618	23	11	parallel	parallel	ADJ
cana-1618	23	12	pc	pc	NOUN
cana-1618	23	13	systems	system	NOUN
cana-1618	23	14	has	have	AUX
cana-1618	23	15	proposed	propose	VERB
cana-1618	23	16	an	an	DET
cana-1618	23	17	option	option	NOUN
cana-1618	23	18	computational	computational	ADJ
cana-1618	23	19	methodology	methodology	NOUN
cana-1618	23	20	.	.	PUNCT
cana-1618	24	1	the	the	DET
cana-1618	24	2	principal	principal	ADJ
cana-1618	24	3	thought	think	VERB
cana-1618	24	4	is	be	AUX
cana-1618	24	5	to	to	PART
cana-1618	24	6	partition	partition	VERB
cana-1618	24	7	the	the	DET
cana-1618	24	8	game	game	NOUN
cana-1618	24	9	plan	plan	NOUN
cana-1618	24	10	space	space	NOUN
cana-1618	24	11	into	into	ADP
cana-1618	24	12	fragments	fragment	NOUN
cana-1618	24	13	,	,	PUNCT
cana-1618	24	14	every	every	DET
cana-1618	24	15	one	one	NUM
cana-1618	24	16	of	of	ADP
cana-1618	24	17	which	which	PRON
cana-1618	24	18	is	be	AUX
cana-1618	24	19	doled	dole	VERB
cana-1618	24	20	out	out	ADP
cana-1618	24	21	to	to	ADP
cana-1618	24	22	an	an	DET
cana-1618	24	23	alternate	alternate	ADJ
cana-1618	24	24	processor	processor	NOUN
cana-1618	24	25	in	in	ADP
cana-1618	24	26	the	the	DET
cana-1618	24	27	parallel	parallel	ADJ
cana-1618	24	28	engineering	engineering	NOUN
cana-1618	24	29	.	.	PUNCT
cana-1618	25	1	in	in	ADP
cana-1618	25	2	this	this	DET
cana-1618	25	3	way	way	NOUN
cana-1618	25	4	,	,	PUNCT
cana-1618	25	5	several	several	ADJ
cana-1618	25	6	small	small	ADJ
cana-1618	25	7	processors	processor	NOUN
cana-1618	25	8	are	be	AUX
cana-1618	25	9	used	use	VERB
cana-1618	25	10	to	to	PART
cana-1618	25	11	settle	settle	VERB
cana-1618	25	12	a	a	DET
cana-1618	25	13	particular	particular	ADJ
cana-1618	25	14	partial	partial	ADJ
cana-1618	25	15	differential	differential	NOUN
cana-1618	25	16	condition	condition	NOUN
cana-1618	25	17	rather	rather	ADV
cana-1618	25	18	than	than	ADP
cana-1618	25	19	a	a	DET
cana-1618	25	20	single	single	ADJ
cana-1618	25	21	large	large	ADJ
cana-1618	25	22	processor	processor	NOUN
cana-1618	25	23	.	.	PUNCT
cana-1618	26	1	sometimes	sometimes	ADV
cana-1618	26	2	this	this	DET
cana-1618	26	3	parallel	parallel	ADJ
cana-1618	26	4	handling	handling	NOUN
cana-1618	26	5	method	method	NOUN
cana-1618	26	6	can	can	AUX
cana-1618	26	7	be	be	AUX
cana-1618	26	8	more	more	ADV
cana-1618	26	9	efficient	efficient	ADJ
cana-1618	26	10	than	than	ADP
cana-1618	26	11	a	a	DET
cana-1618	26	12	single	single	ADJ
cana-1618	26	13	processor	processor	NOUN
cana-1618	26	14	setup	setup	NOUN
cana-1618	26	15	in	in	ADP
cana-1618	26	16	terms	term	NOUN
cana-1618	26	17	of	of	ADP
cana-1618	26	18	speed	speed	NOUN
cana-1618	26	19	,	,	PUNCT
cana-1618	26	20	cost	cost	NOUN
cana-1618	26	21	,	,	PUNCT
cana-1618	26	22	and	and	CCONJ
cana-1618	26	23	ease	ease	NOUN
cana-1618	26	24	of	of	ADP
cana-1618	26	25	improvement	improvement	NOUN
cana-1618	26	26	.	.	PUNCT
cana-1618	27	1	remorsefully	remorsefully	ADV
cana-1618	27	2	,	,	PUNCT
cana-1618	27	3	parallel	parallel	ADJ
cana-1618	27	4	dealing	deal	VERB
cana-1618	27	5	with	with	ADP
cana-1618	27	6	structures	structure	NOUN
cana-1618	27	7	have	have	AUX
cana-1618	27	8	n't	not	PART
cana-1618	27	9	perceived	perceive	VERB
cana-1618	27	10	their	their	PRON
cana-1618	27	11	maximum	maximum	ADJ
cana-1618	27	12	capacity	capacity	NOUN
cana-1618	27	13	100	100	NUM
cana-1618	27	14	%	%	NOUN
cana-1618	27	15	of	of	ADP
cana-1618	27	16	the	the	DET
cana-1618	27	17	time	time	NOUN
cana-1618	27	18	.	.	PUNCT
cana-1618	28	1	in	in	ADP
cana-1618	28	2	principle	principle	NOUN
cana-1618	28	3	,	,	PUNCT
cana-1618	28	4	a	a	DET
cana-1618	28	5	k	k	ADJ
cana-1618	28	6	-	-	ADJ
cana-1618	28	7	processor	processor	NOUN
cana-1618	28	8	design	design	NOUN
cana-1618	28	9	will	will	AUX
cana-1618	28	10	work	work	VERB
cana-1618	28	11	roughly	roughly	ADV
cana-1618	28	12	k	k	PROPN
cana-1618	28	13	times	time	NOUN
cana-1618	28	14	quicker	quick	ADV
cana-1618	28	15	than	than	ADP
cana-1618	28	16	a	a	DET
cana-1618	28	17	solitary	solitary	ADJ
cana-1618	28	18	processor	processor	NOUN
cana-1618	28	19	game	game	NOUN
cana-1618	28	20	plan	plan	NOUN
cana-1618	28	21	,	,	PUNCT
cana-1618	28	22	given	give	VERB
cana-1618	28	23	that	that	SCONJ
cana-1618	28	24	the	the	DET
cana-1618	28	25	issue	issue	NOUN
cana-1618	28	26	can	can	AUX
cana-1618	28	27	be	be	AUX
cana-1618	28	28	sufficiently	sufficiently	ADV
cana-1618	28	29	isolated	isolate	VERB
cana-1618	28	30	.	.	PUNCT
cana-1618	29	1	wonderful	wonderful	ADJ
cana-1618	29	2	execution	execution	NOUN
cana-1618	29	3	utilizing	utilize	VERB
cana-1618	29	4	parallel	parallel	ADJ
cana-1618	29	5	structures	structure	NOUN
cana-1618	29	6	is	be	AUX
cana-1618	29	7	impossible	impossible	ADJ
cana-1618	29	8	due	due	ADP
cana-1618	29	9	to	to	ADP
cana-1618	29	10	trouble	trouble	NOUN
cana-1618	29	11	deteriorating	deteriorate	VERB
cana-1618	29	12	the	the	DET
cana-1618	29	13	issue	issue	NOUN
cana-1618	29	14	and	and	CCONJ
cana-1618	29	15	the	the	DET
cana-1618	29	16	correspondence	correspondence	NOUN
cana-1618	29	17	practices	practice	NOUN
cana-1618	29	18	that	that	PRON
cana-1618	29	19	processors	processor	NOUN
cana-1618	29	20	are	be	AUX
cana-1618	29	21	by	by	ADP
cana-1618	29	22	and	and	CCONJ
cana-1618	29	23	large	large	ADJ
cana-1618	29	24	expected	expect	VERB
cana-1618	29	25	to	to	PART
cana-1618	29	26	finish	finish	VERB
cana-1618	29	27	.	.	PUNCT
cana-1618	30	1	this	this	DET
cana-1618	30	2	challenge	challenge	NOUN
cana-1618	30	3	includes	include	VERB
cana-1618	30	4	addressing	address	VERB
cana-1618	30	5	specific	specific	ADJ
cana-1618	30	6	partial	partial	ADJ
cana-1618	30	7	differential	differential	NOUN
cana-1618	30	8	equations	equation	NOUN
cana-1618	30	9	emerging	emerge	VERB
cana-1618	30	10	in	in	ADP
cana-1618	30	11	computational	computational	ADJ
cana-1618	30	12	fluid	fluid	ADJ
cana-1618	30	13	components	component	NOUN
cana-1618	30	14	utilizing	utilize	VERB
cana-1618	30	15	parallel	parallel	ADJ
cana-1618	30	16	pc	pc	NOUN
cana-1618	30	17	systems	system	NOUN
cana-1618	30	18	.	.	PUNCT
cana-1618	31	1	this	this	PRON
cana-1618	31	2	presents	present	VERB
cana-1618	31	3	the	the	DET
cana-1618	31	4	guess	guess	NOUN
cana-1618	31	5	that	that	SCONJ
cana-1618	31	6	partial	partial	ADJ
cana-1618	31	7	differential	differential	NOUN
cana-1618	31	8	equations	equation	NOUN
cana-1618	31	9	can	can	AUX
cana-1618	31	10	be	be	AUX
cana-1618	31	11	addressed	address	VERB
cana-1618	31	12	on	on	ADP
cana-1618	31	13	parallel	parallel	ADJ
cana-1618	31	14	pc	pc	NOUN
cana-1618	31	15	structures	structure	NOUN
cana-1618	31	16	and	and	CCONJ
cana-1618	31	17	that	that	SCONJ
cana-1618	31	18	plans	plan	VERB
cana-1618	31	19	on	on	ADP
cana-1618	31	20	these	these	DET
cana-1618	31	21	systems	system	NOUN
cana-1618	31	22	can	can	AUX
cana-1618	31	23	be	be	AUX
cana-1618	31	24	seriously	seriously	ADV
cana-1618	31	25	settled	settle	VERB
cana-1618	31	26	with	with	ADP
cana-1618	31	27	plans	plan	NOUN
cana-1618	31	28	on	on	ADP
cana-1618	31	29	huge	huge	ADJ
cana-1618	31	30	,	,	PUNCT
cana-1618	31	31	elite	elite	ADJ
cana-1618	31	32	execution	execution	NOUN
cana-1618	31	33	systems	system	NOUN
cana-1618	31	34	.	.	PUNCT
cana-1618	32	1	for	for	ADP
cana-1618	32	2	this	this	DET
cana-1618	32	3	audit	audit	NOUN
cana-1618	32	4	,	,	PUNCT
cana-1618	32	5	two	two	NUM
cana-1618	32	6	sorts	sort	NOUN
cana-1618	32	7	of	of	ADP
cana-1618	32	8	partial	partial	ADJ
cana-1618	32	9	differential	differential	ADJ
cana-1618	32	10	equations	equation	NOUN
cana-1618	32	11	were	be	AUX
cana-1618	32	12	chosen	choose	VERB
cana-1618	32	13	:	:	PUNCT
cana-1618	32	14	the	the	DET
cana-1618	32	15	two	two	NUM
cana-1618	32	16	-	-	PUNCT
cana-1618	32	17	layered	layer	VERB
cana-1618	32	18	laplace	laplace	NOUN
cana-1618	32	19	's	's	PART
cana-1618	32	20	condition	condition	NOUN
cana-1618	32	21	and	and	CCONJ
cana-1618	32	22	the	the	DET
cana-1618	32	23	one	one	NUM
cana-1618	32	24	-	-	PUNCT
cana-1618	32	25	layered	layer	VERB
cana-1618	32	26	wave	wave	NOUN
cana-1618	32	27	condition	condition	NOUN
cana-1618	32	28	.	.	PUNCT
cana-1618	33	1	the	the	DET
cana-1618	33	2	issue	issue	NOUN
cana-1618	33	3	was	be	AUX
cana-1618	33	4	spatially	spatially	ADV
cana-1618	33	5	divided	divide	VERB
cana-1618	33	6	over	over	ADP
cana-1618	33	7	the	the	DET
cana-1618	33	8	space	space	NOUN
cana-1618	33	9	of	of	ADP
cana-1618	33	10	interest	interest	NOUN
cana-1618	33	11	,	,	PUNCT
cana-1618	33	12	and	and	CCONJ
cana-1618	33	13	the	the	DET
cana-1618	33	14	restricted	restricted	ADJ
cana-1618	33	15	differentiation	differentiation	NOUN
cana-1618	33	16	approach	approach	NOUN
cana-1618	33	17	was	be	AUX
cana-1618	33	18	applied	apply	VERB
cana-1618	33	19	.	.	PUNCT
cana-1618	34	1	this	this	PRON
cana-1618	34	2	is	be	AUX
cana-1618	34	3	a	a	DET
cana-1618	34	4	regular	regular	ADJ
cana-1618	34	5	issue	issue	NOUN
cana-1618	34	6	rot	rot	VERB
cana-1618	34	7	technique	technique	NOUN
cana-1618	34	8	that	that	PRON
cana-1618	34	9	eliminates	eliminate	VERB
cana-1618	34	10	the	the	DET
cana-1618	34	11	"	"	PUNCT
cana-1618	34	12	cost	cost	NOUN
cana-1618	34	13	"	"	PUNCT
cana-1618	34	14	of	of	ADP
cana-1618	34	15	the	the	DET
cana-1618	34	16	parallel	parallel	ADJ
cana-1618	34	17	way	way	NOUN
cana-1618	34	18	to	to	PART
cana-1618	34	19	deal	deal	VERB
cana-1618	34	20	with	with	ADP
cana-1618	34	21	taking	take	VERB
cana-1618	34	22	care	care	NOUN
cana-1618	34	23	of	of	ADP
cana-1618	34	24	interprocessor	interprocessor	NOUN
cana-1618	34	25	correspondence	correspondence	NOUN
cana-1618	34	26	.	.	PUNCT
cana-1618	35	1	a	a	DET
cana-1618	35	2	strategy	strategy	NOUN
cana-1618	35	3	for	for	ADP
cana-1618	35	4	dispensing	dispense	VERB
cana-1618	35	5	issue	issue	NOUN
cana-1618	35	6	sections	section	NOUN
cana-1618	35	7	to	to	ADP
cana-1618	35	8	processors	processor	NOUN
cana-1618	35	9	was	be	AUX
cana-1618	35	10	created	create	VERB
cana-1618	35	11	and	and	CCONJ
cana-1618	35	12	executed	execute	VERB
cana-1618	35	13	for	for	ADP
cana-1618	35	14	a	a	DET
cana-1618	35	15	grid	grid	NOUN
cana-1618	35	16	associated	associate	VERB
cana-1618	35	17	parallel	parallel	ADJ
cana-1618	35	18	pc	pc	NOUN
cana-1618	35	19	system	system	NOUN
cana-1618	35	20	.	.	PUNCT
cana-1618	36	1	participations	participation	NOUN
cana-1618	36	2	between	between	ADP
cana-1618	36	3	processors	processor	NOUN
cana-1618	36	4	were	be	AUX
cana-1618	36	5	distinguished	distinguish	VERB
cana-1618	36	6	and	and	CCONJ
cana-1618	36	7	tried	try	VERB
cana-1618	36	8	for	for	ADP
cana-1618	36	9	the	the	DET
cana-1618	36	10	two	two	NUM
cana-1618	36	11	-	-	PUNCT
cana-1618	36	12	layered	layer	VERB
cana-1618	36	13	tabletop	tabletop	ADJ
cana-1618	36	14	game	game	NOUN
cana-1618	36	15	life	life	NOUN
cana-1618	36	16	.	.	PUNCT
cana-1618	37	1	life	life	NOUN
cana-1618	37	2	's	's	PART
cana-1618	37	3	guidelines	guideline	NOUN
cana-1618	37	4	and	and	CCONJ
cana-1618	37	5	the	the	DET
cana-1618	37	6	interprocessor	interprocessor	NOUN
cana-1618	37	7	practices	practice	NOUN
cana-1618	37	8	for	for	ADP
cana-1618	37	9	life	life	NOUN
cana-1618	37	10	act	act	VERB
cana-1618	37	11	fairly	fairly	ADV
cana-1618	37	12	in	in	ADP
cana-1618	37	13	much	much	ADV
cana-1618	37	14	the	the	DET
cana-1618	37	15	same	same	ADJ
cana-1618	37	16	way	way	NOUN
cana-1618	37	17	to	to	ADP
cana-1618	37	18	confined	confine	VERB
cana-1618	37	19	separation	separation	NOUN
cana-1618	37	20	answers	answer	NOUN
cana-1618	37	21	for	for	ADP
cana-1618	37	22	partial	partial	ADJ
cana-1618	37	23	differential	differential	ADJ
cana-1618	37	24	equations	equation	NOUN
cana-1618	37	25	in	in	ADP
cana-1618	37	26	that	that	SCONJ
cana-1618	37	27	they	they	PRON
cana-1618	37	28	raise	raise	VERB
cana-1618	37	29	the	the	DET
cana-1618	37	30	consistent	consistent	ADJ
cana-1618	37	31	qualities	quality	NOUN
cana-1618	37	32	to	to	ADP
cana-1618	37	33	the	the	DET
cana-1618	37	34	ensuing	ensue	VERB
cana-1618	37	35	time	time	NOUN
cana-1618	37	36	step	step	NOUN
cana-1618	37	37	.	.	PUNCT
cana-1618	38	1	subsequently	subsequently	ADV
cana-1618	38	2	,	,	PUNCT
cana-1618	38	3	the	the	DET
cana-1618	38	4	methods	method	NOUN
cana-1618	38	5	created	create	VERB
cana-1618	38	6	to	to	PART
cana-1618	38	7	show	show	VERB
cana-1618	38	8	the	the	DET
cana-1618	38	9	circle	circle	NOUN
cana-1618	38	10	of	of	ADP
cana-1618	38	11	life	life	NOUN
cana-1618	38	12	will	will	AUX
cana-1618	38	13	make	make	VERB
cana-1618	38	14	an	an	DET
cana-1618	38	15	interpretation	interpretation	NOUN
cana-1618	38	16	of	of	ADP
cana-1618	38	17	straightforwardly	straightforwardly	ADV
cana-1618	38	18	to	to	ADP
cana-1618	38	19	the	the	DET
cana-1618	38	20	arrangement	arrangement	NOUN
cana-1618	38	21	of	of	ADP
cana-1618	38	22	partial	partial	ADJ
cana-1618	38	23	differential	differential	ADJ
cana-1618	38	24	equations	equation	NOUN
cana-1618	38	25	.	.	PUNCT
cana-1618	39	1	utilizing	utilize	VERB
cana-1618	39	2	the	the	DET
cana-1618	39	3	wave	wave	NOUN
cana-1618	39	4	condition	condition	NOUN
cana-1618	39	5	and	and	CCONJ
cana-1618	39	6	laplace	laplace	NOUN
cana-1618	39	7	's	's	PART
cana-1618	39	8	condition	condition	NOUN
cana-1618	39	9	,	,	PUNCT
cana-1618	39	10	that	that	DET
cana-1618	39	11	remnant	remnant	NOUN
cana-1618	39	12	is	be	AUX
cana-1618	39	13	shown	show	VERB
cana-1618	39	14	.	.	PUNCT
cana-1618	40	1	2	2	X
cana-1618	40	2	.	.	X
cana-1618	40	3	literature	literature	PROPN
cana-1618	40	4	review	review	PROPN
cana-1618	40	5	mastoi	mastoi	PROPN
cana-1618	40	6	et	et	PROPN
cana-1618	40	7	al	al	PROPN
cana-1618	40	8	.	.	PROPN
cana-1618	41	1	(	(	PUNCT
cana-1618	41	2	2022	2022	NUM
cana-1618	41	3	)	)	PUNCT
cana-1618	41	4	addresses	address	VERB
cana-1618	41	5	the	the	DET
cana-1618	41	6	challenge	challenge	NOUN
cana-1618	41	7	of	of	ADP
cana-1618	41	8	efficiently	efficiently	ADV
cana-1618	41	9	solving	solve	VERB
cana-1618	41	10	two	two	NUM
cana-1618	41	11	-	-	PUNCT
cana-1618	41	12	dimensional	dimensional	ADJ
cana-1618	41	13	pdes	pde	NOUN
cana-1618	41	14	,	,	PUNCT
cana-1618	41	15	which	which	PRON
cana-1618	41	16	often	often	ADV
cana-1618	41	17	arise	arise	VERB
cana-1618	41	18	in	in	ADP
cana-1618	41	19	diverse	diverse	ADJ
cana-1618	41	20	fields	field	NOUN
cana-1618	41	21	such	such	ADJ
cana-1618	41	22	as	as	ADP
cana-1618	41	23	fluid	fluid	ADJ
cana-1618	41	24	dynamics	dynamic	NOUN
cana-1618	41	25	,	,	PUNCT
cana-1618	41	26	heat	heat	NOUN
cana-1618	41	27	transfer	transfer	NOUN
cana-1618	41	28	,	,	PUNCT
cana-1618	41	29	and	and	CCONJ
cana-1618	41	30	electromagnetism	electromagnetism	NOUN
cana-1618	41	31	.	.	PUNCT
cana-1618	42	1	the	the	DET
cana-1618	42	2	authors	author	NOUN
cana-1618	42	3	introduce	introduce	VERB
cana-1618	42	4	the	the	DET
cana-1618	42	5	sm	sm	PROPN
cana-1618	42	6	method	method	NOUN
cana-1618	42	7	as	as	ADP
cana-1618	42	8	an	an	DET
cana-1618	42	9	innovative	innovative	ADJ
cana-1618	42	10	numerical	numerical	ADJ
cana-1618	42	11	technique	technique	NOUN
cana-1618	42	12	for	for	ADP
cana-1618	42	13	tackling	tackle	VERB
cana-1618	42	14	these	these	DET
cana-1618	42	15	complex	complex	ADJ
cana-1618	42	16	equations	equation	NOUN
cana-1618	42	17	.	.	PUNCT
cana-1618	43	1	the	the	DET
cana-1618	43	2	sm	sm	PROPN
cana-1618	43	3	method	method	NOUN
cana-1618	43	4	stands	stand	VERB
cana-1618	43	5	out	out	ADP
cana-1618	43	6	for	for	ADP
cana-1618	43	7	its	its	PRON
cana-1618	43	8	ability	ability	NOUN
cana-1618	43	9	to	to	PART
cana-1618	43	10	offer	offer	VERB
cana-1618	43	11	accurate	accurate	ADJ
cana-1618	43	12	solutions	solution	NOUN
cana-1618	43	13	while	while	SCONJ
cana-1618	43	14	maintaining	maintain	VERB
cana-1618	43	15	computational	computational	ADJ
cana-1618	43	16	efficiency	efficiency	NOUN
cana-1618	43	17	,	,	PUNCT
cana-1618	43	18	which	which	PRON
cana-1618	43	19	is	be	AUX
cana-1618	43	20	crucial	crucial	ADJ
cana-1618	43	21	for	for	ADP
cana-1618	43	22	handling	handle	VERB
cana-1618	43	23	large	large	ADJ
cana-1618	43	24	-	-	PUNCT
cana-1618	43	25	scale	scale	NOUN
cana-1618	43	26	problems	problem	NOUN
cana-1618	43	27	encountered	encounter	VERB
cana-1618	43	28	in	in	ADP
cana-1618	43	29	practical	practical	ADJ
cana-1618	43	30	applications	application	NOUN
cana-1618	43	31	.	.	PUNCT
cana-1618	44	1	the	the	DET
cana-1618	44	2	essence	essence	NOUN
cana-1618	44	3	of	of	ADP
cana-1618	44	4	the	the	DET
cana-1618	44	5	sm	sm	PROPN
cana-1618	44	6	method	method	NOUN
cana-1618	44	7	lies	lie	VERB
cana-1618	44	8	in	in	ADP
cana-1618	44	9	its	its	PRON
cana-1618	44	10	capacity	capacity	NOUN
cana-1618	44	11	to	to	PART
cana-1618	44	12	decompose	decompose	VERB
cana-1618	44	13	the	the	DET
cana-1618	44	14	pde	pde	PROPN
cana-1618	44	15	problem	problem	NOUN
cana-1618	44	16	into	into	ADP
cana-1618	44	17	smaller	small	ADJ
cana-1618	44	18	subproblems	subproblem	NOUN
cana-1618	44	19	,	,	PUNCT
cana-1618	44	20	which	which	PRON
cana-1618	44	21	are	be	AUX
cana-1618	44	22	then	then	ADV
cana-1618	44	23	solved	solve	VERB
cana-1618	44	24	iteratively	iteratively	ADV
cana-1618	44	25	.	.	PUNCT
cana-1618	45	1	by	by	ADP
cana-1618	45	2	breaking	break	VERB
cana-1618	45	3	down	down	ADP
cana-1618	45	4	the	the	DET
cana-1618	45	5	problem	problem	NOUN
cana-1618	45	6	domain	domain	NOUN
cana-1618	45	7	into	into	ADP
cana-1618	45	8	manageable	manageable	ADJ
cana-1618	45	9	segments	segment	NOUN
cana-1618	45	10	,	,	PUNCT
cana-1618	45	11	the	the	DET
cana-1618	45	12	method	method	NOUN
cana-1618	45	13	facilitates	facilitate	VERB
cana-1618	45	14	the	the	DET
cana-1618	45	15	computation	computation	NOUN
cana-1618	45	16	of	of	ADP
cana-1618	45	17	solutions	solution	NOUN
cana-1618	45	18	for	for	ADP
cana-1618	45	19	complex	complex	ADJ
cana-1618	45	20	pdes	pde	NOUN
cana-1618	45	21	with	with	ADP
cana-1618	45	22	improved	improved	ADJ
cana-1618	45	23	efficiency	efficiency	NOUN
cana-1618	45	24	and	and	CCONJ
cana-1618	45	25	accuracy	accuracy	NOUN
cana-1618	45	26	.	.	PUNCT
cana-1618	46	1	mastoi	mastoi	PROPN
cana-1618	46	2	present	present	ADJ
cana-1618	46	3	numerical	numerical	ADJ
cana-1618	46	4	results	result	NOUN
cana-1618	46	5	demonstrating	demonstrate	VERB
cana-1618	46	6	the	the	DET
cana-1618	46	7	effectiveness	effectiveness	NOUN
cana-1618	46	8	communications	communication	NOUN
cana-1618	46	9	on	on	ADP
cana-1618	46	10	applied	apply	VERB
cana-1618	46	11	nonlinear	nonlinear	ADJ
cana-1618	46	12	analysis	analysis	NOUN
cana-1618	46	13	issn	issn	NOUN
cana-1618	46	14	:	:	PUNCT
cana-1618	46	15	1074	1074	NUM
cana-1618	46	16	-	-	PUNCT
cana-1618	46	17	133x	133x	NUM
cana-1618	46	18	vol	vol	NOUN
cana-1618	46	19	32	32	NUM
cana-1618	46	20	no	no	NOUN
cana-1618	46	21	.	.	NOUN
cana-1618	46	22	1	1	NUM
cana-1618	46	23	(	(	PUNCT
cana-1618	46	24	2025	2025	NUM
cana-1618	46	25	)	)	PUNCT
cana-1618	46	26	25	25	NUM
cana-1618	46	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	46	28	of	of	ADP
cana-1618	46	29	the	the	DET
cana-1618	46	30	sm	sm	PROPN
cana-1618	46	31	method	method	NOUN
cana-1618	46	32	in	in	ADP
cana-1618	46	33	solving	solve	VERB
cana-1618	46	34	a	a	DET
cana-1618	46	35	variety	variety	NOUN
cana-1618	46	36	of	of	ADP
cana-1618	46	37	two	two	NUM
cana-1618	46	38	-	-	PUNCT
cana-1618	46	39	dimensional	dimensional	ADJ
cana-1618	46	40	pdes	pde	NOUN
cana-1618	46	41	.	.	PUNCT
cana-1618	47	1	through	through	ADP
cana-1618	47	2	comparative	comparative	ADJ
cana-1618	47	3	analysis	analysis	NOUN
cana-1618	47	4	with	with	ADP
cana-1618	47	5	existing	existing	ADJ
cana-1618	47	6	numerical	numerical	ADJ
cana-1618	47	7	techniques	technique	NOUN
cana-1618	47	8	,	,	PUNCT
cana-1618	47	9	the	the	DET
cana-1618	47	10	authors	author	NOUN
cana-1618	47	11	highlight	highlight	VERB
cana-1618	47	12	the	the	DET
cana-1618	47	13	superior	superior	ADJ
cana-1618	47	14	performance	performance	NOUN
cana-1618	47	15	of	of	ADP
cana-1618	47	16	the	the	DET
cana-1618	47	17	sm	sm	PROPN
cana-1618	47	18	method	method	NOUN
cana-1618	47	19	in	in	ADP
cana-1618	47	20	terms	term	NOUN
cana-1618	47	21	of	of	ADP
cana-1618	47	22	solution	solution	NOUN
cana-1618	47	23	accuracy	accuracy	NOUN
cana-1618	47	24	and	and	CCONJ
cana-1618	47	25	computational	computational	ADJ
cana-1618	47	26	efficiency	efficiency	NOUN
cana-1618	47	27	.	.	PUNCT
cana-1618	48	1	such	such	ADJ
cana-1618	48	2	empirical	empirical	ADJ
cana-1618	48	3	validation	validation	NOUN
cana-1618	48	4	enhances	enhance	VERB
cana-1618	48	5	the	the	DET
cana-1618	48	6	credibility	credibility	NOUN
cana-1618	48	7	of	of	ADP
cana-1618	48	8	their	their	PRON
cana-1618	48	9	proposed	propose	VERB
cana-1618	48	10	approach	approach	NOUN
cana-1618	48	11	and	and	CCONJ
cana-1618	48	12	underscores	underscore	VERB
cana-1618	48	13	its	its	PRON
cana-1618	48	14	potential	potential	NOUN
cana-1618	48	15	for	for	ADP
cana-1618	48	16	practical	practical	ADJ
cana-1618	48	17	applications	application	NOUN
cana-1618	48	18	in	in	ADP
cana-1618	48	19	diverse	diverse	ADJ
cana-1618	48	20	scientific	scientific	ADJ
cana-1618	48	21	and	and	CCONJ
cana-1618	48	22	engineering	engineering	NOUN
cana-1618	48	23	disciplines	discipline	NOUN
cana-1618	48	24	.	.	PUNCT
cana-1618	49	1	bähr	bähr	NOUN
cana-1618	49	2	(	(	PUNCT
cana-1618	49	3	2021	2021	NUM
cana-1618	49	4	)	)	PUNCT
cana-1618	49	5	researched	research	VERB
cana-1618	49	6	effective	effective	ADJ
cana-1618	49	7	time	time	NOUN
cana-1618	49	8	reconciliation	reconciliation	NOUN
cana-1618	49	9	strategies	strategy	NOUN
cana-1618	49	10	for	for	ADP
cana-1618	49	11	straight	straight	ADJ
cana-1618	49	12	allegorical	allegorical	ADJ
cana-1618	49	13	partial	partial	ADJ
cana-1618	49	14	differential	differential	NOUN
cana-1618	49	15	equations	equation	NOUN
cana-1618	49	16	,	,	PUNCT
cana-1618	49	17	as	as	SCONJ
cana-1618	49	18	recorded	record	VERB
cana-1618	49	19	in	in	ADP
cana-1618	49	20	his	his	PRON
cana-1618	49	21	doctoral	doctoral	ADJ
cana-1618	49	22	paper	paper	NOUN
cana-1618	49	23	named	name	VERB
cana-1618	49	24	"	"	PUNCT
cana-1618	49	25	productive	productive	ADJ
cana-1618	49	26	time	time	NOUN
cana-1618	49	27	coordination	coordination	NOUN
cana-1618	49	28	techniques	technique	NOUN
cana-1618	49	29	for	for	ADP
cana-1618	49	30	direct	direct	ADJ
cana-1618	49	31	illustrative	illustrative	ADJ
cana-1618	49	32	partial	partial	ADJ
cana-1618	49	33	differential	differential	NOUN
cana-1618	49	34	equations	equation	NOUN
cana-1618	49	35	with	with	ADP
cana-1618	49	36	applications	application	NOUN
cana-1618	49	37	.	.	PUNCT
cana-1618	49	38	"	"	PUNCT
cana-1618	50	1	bähr	bähr	PROPN
cana-1618	50	2	's	's	PART
cana-1618	50	3	research	research	NOUN
cana-1618	50	4	focuses	focus	VERB
cana-1618	50	5	on	on	ADP
cana-1618	50	6	the	the	DET
cana-1618	50	7	time	time	NOUN
cana-1618	50	8	integration	integration	NOUN
cana-1618	50	9	aspect	aspect	NOUN
cana-1618	50	10	of	of	ADP
cana-1618	50	11	solving	solve	VERB
cana-1618	50	12	pdes	pde	NOUN
cana-1618	50	13	,	,	PUNCT
cana-1618	50	14	which	which	PRON
cana-1618	50	15	complements	complement	VERB
cana-1618	50	16	the	the	DET
cana-1618	50	17	work	work	NOUN
cana-1618	50	18	in	in	ADP
cana-1618	50	19	the	the	DET
cana-1618	50	20	realm	realm	NOUN
cana-1618	50	21	of	of	ADP
cana-1618	50	22	spatial	spatial	ADJ
cana-1618	50	23	discretization	discretization	NOUN
cana-1618	50	24	and	and	CCONJ
cana-1618	50	25	solution	solution	NOUN
cana-1618	50	26	techniques	technique	NOUN
cana-1618	50	27	.	.	PUNCT
cana-1618	51	1	addresses	address	VERB
cana-1618	51	2	the	the	DET
cana-1618	51	3	crucial	crucial	ADJ
cana-1618	51	4	issue	issue	NOUN
cana-1618	51	5	of	of	ADP
cana-1618	51	6	selecting	select	VERB
cana-1618	51	7	appropriate	appropriate	ADJ
cana-1618	51	8	time	time	NOUN
cana-1618	51	9	integration	integration	NOUN
cana-1618	51	10	schemes	scheme	NOUN
cana-1618	51	11	to	to	PART
cana-1618	51	12	ensure	ensure	VERB
cana-1618	51	13	the	the	DET
cana-1618	51	14	stability	stability	NOUN
cana-1618	51	15	,	,	PUNCT
cana-1618	51	16	accuracy	accuracy	NOUN
cana-1618	51	17	,	,	PUNCT
cana-1618	51	18	and	and	CCONJ
cana-1618	51	19	efficiency	efficiency	NOUN
cana-1618	51	20	of	of	ADP
cana-1618	51	21	numerical	numerical	ADJ
cana-1618	51	22	solutions	solution	NOUN
cana-1618	51	23	for	for	ADP
cana-1618	51	24	timedependent	timedependent	NOUN
cana-1618	51	25	pdes	pde	NOUN
cana-1618	51	26	.	.	PUNCT
cana-1618	52	1	his	his	PRON
cana-1618	52	2	research	research	NOUN
cana-1618	52	3	explores	explore	VERB
cana-1618	52	4	various	various	ADJ
cana-1618	52	5	time	time	NOUN
cana-1618	52	6	integration	integration	NOUN
cana-1618	52	7	methods	method	NOUN
cana-1618	52	8	and	and	CCONJ
cana-1618	52	9	evaluates	evaluate	VERB
cana-1618	52	10	their	their	PRON
cana-1618	52	11	performance	performance	NOUN
cana-1618	52	12	through	through	ADP
cana-1618	52	13	theoretical	theoretical	ADJ
cana-1618	52	14	analysis	analysis	NOUN
cana-1618	52	15	and	and	CCONJ
cana-1618	52	16	numerical	numerical	ADJ
cana-1618	52	17	experiments	experiment	NOUN
cana-1618	52	18	.	.	PUNCT
cana-1618	53	1	by	by	ADP
cana-1618	53	2	devising	devise	VERB
cana-1618	53	3	efficient	efficient	ADJ
cana-1618	53	4	time	time	NOUN
cana-1618	53	5	integration	integration	NOUN
cana-1618	53	6	strategies	strategy	NOUN
cana-1618	53	7	,	,	PUNCT
cana-1618	53	8	bähr	bähr	NOUN
cana-1618	53	9	contributes	contribute	VERB
cana-1618	53	10	to	to	ADP
cana-1618	53	11	the	the	DET
cana-1618	53	12	advancement	advancement	NOUN
cana-1618	53	13	of	of	ADP
cana-1618	53	14	numerical	numerical	ADJ
cana-1618	53	15	techniques	technique	NOUN
cana-1618	53	16	for	for	ADP
cana-1618	53	17	solving	solve	VERB
cana-1618	53	18	parabolic	parabolic	ADJ
cana-1618	53	19	pdes	pde	NOUN
cana-1618	53	20	,	,	PUNCT
cana-1618	53	21	which	which	PRON
cana-1618	53	22	are	be	AUX
cana-1618	53	23	prevalent	prevalent	ADJ
cana-1618	53	24	in	in	ADP
cana-1618	53	25	fields	field	NOUN
cana-1618	53	26	such	such	ADJ
cana-1618	53	27	as	as	ADP
cana-1618	53	28	heat	heat	NOUN
cana-1618	53	29	conduction	conduction	NOUN
cana-1618	53	30	,	,	PUNCT
cana-1618	53	31	diffusion	diffusion	NOUN
cana-1618	53	32	processes	process	NOUN
cana-1618	53	33	,	,	PUNCT
cana-1618	53	34	and	and	CCONJ
cana-1618	53	35	reaction	reaction	NOUN
cana-1618	53	36	-	-	PUNCT
cana-1618	53	37	diffusion	diffusion	NOUN
cana-1618	53	38	systems	system	NOUN
cana-1618	53	39	.	.	PUNCT
cana-1618	54	1	shang	shang	PROPN
cana-1618	54	2	,	,	PUNCT
cana-1618	54	3	wang	wang	PROPN
cana-1618	54	4	,	,	PUNCT
cana-1618	54	5	and	and	CCONJ
cana-1618	54	6	sun	sun	NOUN
cana-1618	54	7	(	(	PUNCT
cana-1618	54	8	2022	2022	NUM
cana-1618	54	9	)	)	PUNCT
cana-1618	54	10	propose	propose	VERB
cana-1618	54	11	a	a	DET
cana-1618	54	12	novel	novel	ADJ
cana-1618	54	13	approach	approach	NOUN
cana-1618	54	14	called	call	VERB
cana-1618	54	15	the	the	DET
cana-1618	54	16	deep	deep	ADJ
cana-1618	54	17	petrov	petrov	PROPN
cana-1618	54	18	-	-	PUNCT
cana-1618	54	19	galerkin	galerkin	PROPN
cana-1618	54	20	method	method	NOUN
cana-1618	54	21	,	,	PUNCT
cana-1618	54	22	as	as	SCONJ
cana-1618	54	23	presented	present	VERB
cana-1618	54	24	in	in	ADP
cana-1618	54	25	their	their	PRON
cana-1618	54	26	preprint	preprint	NOUN
cana-1618	54	27	titled	title	VERB
cana-1618	54	28	"	"	PUNCT
cana-1618	54	29	deep	deep	ADJ
cana-1618	54	30	petrov	petrov	PROPN
cana-1618	54	31	-	-	PUNCT
cana-1618	54	32	galerkin	galerkin	PROPN
cana-1618	54	33	method	method	NOUN
cana-1618	54	34	for	for	ADP
cana-1618	54	35	solving	solve	VERB
cana-1618	54	36	partial	partial	ADJ
cana-1618	54	37	differential	differential	NOUN
cana-1618	54	38	equations	equation	NOUN
cana-1618	54	39	.	.	PUNCT
cana-1618	54	40	"	"	PUNCT
cana-1618	55	1	the	the	DET
cana-1618	55	2	petrov	petrov	PROPN
cana-1618	55	3	-	-	PUNCT
cana-1618	55	4	galerkin	galerkin	PROPN
cana-1618	55	5	method	method	NOUN
cana-1618	55	6	is	be	AUX
cana-1618	55	7	a	a	DET
cana-1618	55	8	numerical	numerical	ADJ
cana-1618	55	9	technique	technique	NOUN
cana-1618	55	10	for	for	ADP
cana-1618	55	11	solving	solve	VERB
cana-1618	55	12	pdes	pde	NOUN
cana-1618	55	13	,	,	PUNCT
cana-1618	55	14	and	and	CCONJ
cana-1618	55	15	the	the	DET
cana-1618	55	16	authors	author	NOUN
cana-1618	55	17	introduce	introduce	VERB
cana-1618	55	18	a	a	DET
cana-1618	55	19	deep	deep	ADJ
cana-1618	55	20	learning	learning	NOUN
cana-1618	55	21	framework	framework	NOUN
cana-1618	55	22	to	to	PART
cana-1618	55	23	enhance	enhance	VERB
cana-1618	55	24	its	its	PRON
cana-1618	55	25	efficiency	efficiency	NOUN
cana-1618	55	26	and	and	CCONJ
cana-1618	55	27	accuracy	accuracy	NOUN
cana-1618	55	28	.	.	PUNCT
cana-1618	56	1	by	by	ADP
cana-1618	56	2	integrating	integrate	VERB
cana-1618	56	3	deep	deep	ADJ
cana-1618	56	4	learning	learning	NOUN
cana-1618	56	5	models	model	NOUN
cana-1618	56	6	into	into	ADP
cana-1618	56	7	the	the	DET
cana-1618	56	8	petrov	petrov	PROPN
cana-1618	56	9	-	-	PUNCT
cana-1618	56	10	galerkin	galerkin	PROPN
cana-1618	56	11	method	method	NOUN
cana-1618	56	12	,	,	PUNCT
cana-1618	56	13	they	they	PRON
cana-1618	56	14	aim	aim	VERB
cana-1618	56	15	to	to	PART
cana-1618	56	16	achieve	achieve	VERB
cana-1618	56	17	better	well	ADJ
cana-1618	56	18	solutions	solution	NOUN
cana-1618	56	19	for	for	ADP
cana-1618	56	20	a	a	DET
cana-1618	56	21	wide	wide	ADJ
cana-1618	56	22	range	range	NOUN
cana-1618	56	23	of	of	ADP
cana-1618	56	24	pdes	pde	NOUN
cana-1618	56	25	.	.	PUNCT
cana-1618	57	1	this	this	DET
cana-1618	57	2	method	method	NOUN
cana-1618	57	3	potentially	potentially	ADV
cana-1618	57	4	offers	offer	VERB
cana-1618	57	5	improvements	improvement	NOUN
cana-1618	57	6	in	in	ADP
cana-1618	57	7	computational	computational	ADJ
cana-1618	57	8	efficiency	efficiency	NOUN
cana-1618	57	9	and	and	CCONJ
cana-1618	57	10	accuracy	accuracy	NOUN
cana-1618	57	11	compared	compare	VERB
cana-1618	57	12	to	to	ADP
cana-1618	57	13	traditional	traditional	ADJ
cana-1618	57	14	numerical	numerical	ADJ
cana-1618	57	15	methods	method	NOUN
cana-1618	57	16	.	.	PUNCT
cana-1618	58	1	grady	grady	PROPN
cana-1618	58	2	et.al	et.al	PROPN
cana-1618	58	3	(	(	PUNCT
cana-1618	58	4	2023	2023	NUM
cana-1618	58	5	)	)	PUNCT
cana-1618	58	6	introduces	introduce	VERB
cana-1618	58	7	another	another	DET
cana-1618	58	8	innovative	innovative	ADJ
cana-1618	58	9	approach	approach	NOUN
cana-1618	58	10	in	in	ADP
cana-1618	58	11	their	their	PRON
cana-1618	58	12	paper	paper	NOUN
cana-1618	58	13	"	"	PUNCT
cana-1618	58	14	model	model	NOUN
cana-1618	58	15	-	-	PUNCT
cana-1618	58	16	parallel	parallel	ADJ
cana-1618	58	17	fourier	fourier	NOUN
cana-1618	58	18	neural	neural	ADJ
cana-1618	58	19	operators	operator	NOUN
cana-1618	58	20	as	as	SCONJ
cana-1618	58	21	learned	learn	VERB
cana-1618	58	22	surrogates	surrogate	NOUN
cana-1618	58	23	for	for	ADP
cana-1618	58	24	large	large	ADJ
cana-1618	58	25	-	-	PUNCT
cana-1618	58	26	scale	scale	NOUN
cana-1618	58	27	parametric	parametric	ADJ
cana-1618	58	28	pdes	pde	NOUN
cana-1618	58	29	,	,	PUNCT
cana-1618	58	30	"	"	PUNCT
cana-1618	58	31	published	publish	VERB
cana-1618	58	32	in	in	ADP
cana-1618	58	33	computers	computer	NOUN
cana-1618	58	34	&	&	CCONJ
cana-1618	58	35	geosciences	geoscience	NOUN
cana-1618	58	36	.	.	PUNCT
cana-1618	59	1	they	they	PRON
cana-1618	59	2	propose	propose	VERB
cana-1618	59	3	the	the	DET
cana-1618	59	4	utilization	utilization	NOUN
cana-1618	59	5	of	of	ADP
cana-1618	59	6	model	model	NOUN
cana-1618	59	7	-	-	PUNCT
cana-1618	59	8	parallel	parallel	ADJ
cana-1618	59	9	fourier	fourier	NOUN
cana-1618	59	10	brain	brain	NOUN
cana-1618	59	11	administrators	administrator	NOUN
cana-1618	59	12	as	as	ADP
cana-1618	59	13	scholarly	scholarly	ADJ
cana-1618	59	14	substitutes	substitute	NOUN
cana-1618	59	15	for	for	ADP
cana-1618	59	16	huge	huge	ADJ
cana-1618	59	17	scope	scope	NOUN
cana-1618	59	18	parametric	parametric	ADJ
cana-1618	59	19	pdes	pde	NOUN
cana-1618	59	20	.	.	PUNCT
cana-1618	60	1	this	this	DET
cana-1618	60	2	method	method	NOUN
cana-1618	60	3	use	use	VERB
cana-1618	60	4	brain	brain	NOUN
cana-1618	60	5	organizations	organization	NOUN
cana-1618	60	6	and	and	CCONJ
cana-1618	60	7	fourier	fouri	ADJ
cana-1618	60	8	investigation	investigation	NOUN
cana-1618	60	9	to	to	PART
cana-1618	60	10	effectively	effectively	ADV
cana-1618	60	11	inexact	inexact	VERB
cana-1618	60	12	the	the	DET
cana-1618	60	13	arrangements	arrangement	NOUN
cana-1618	60	14	of	of	ADP
cana-1618	60	15	complicated	complicated	ADJ
cana-1618	60	16	pdes	pde	NOUN
cana-1618	60	17	.	.	PUNCT
cana-1618	61	1	by	by	ADP
cana-1618	61	2	training	train	VERB
cana-1618	61	3	neural	neural	ADJ
cana-1618	61	4	networks	network	NOUN
cana-1618	61	5	to	to	PART
cana-1618	61	6	learn	learn	VERB
cana-1618	61	7	the	the	DET
cana-1618	61	8	underlying	underlie	VERB
cana-1618	61	9	physics	physics	NOUN
cana-1618	61	10	of	of	ADP
cana-1618	61	11	the	the	DET
cana-1618	61	12	problem	problem	NOUN
cana-1618	61	13	domain	domain	NOUN
cana-1618	61	14	,	,	PUNCT
cana-1618	61	15	they	they	PRON
cana-1618	61	16	create	create	VERB
cana-1618	61	17	surrogate	surrogate	ADJ
cana-1618	61	18	models	model	NOUN
cana-1618	61	19	that	that	PRON
cana-1618	61	20	can	can	AUX
cana-1618	61	21	accurately	accurately	ADV
cana-1618	61	22	predict	predict	VERB
cana-1618	61	23	the	the	DET
cana-1618	61	24	behaviour	behaviour	NOUN
cana-1618	61	25	of	of	ADP
cana-1618	61	26	the	the	DET
cana-1618	61	27	system	system	NOUN
cana-1618	61	28	under	under	ADP
cana-1618	61	29	various	various	ADJ
cana-1618	61	30	parametric	parametric	ADJ
cana-1618	61	31	conditions	condition	NOUN
cana-1618	61	32	.	.	PUNCT
cana-1618	62	1	this	this	DET
cana-1618	62	2	approach	approach	NOUN
cana-1618	62	3	demonstrates	demonstrate	VERB
cana-1618	62	4	promise	promise	NOUN
cana-1618	62	5	for	for	ADP
cana-1618	62	6	addressing	address	VERB
cana-1618	62	7	the	the	DET
cana-1618	62	8	computational	computational	ADJ
cana-1618	62	9	challenges	challenge	NOUN
cana-1618	62	10	associated	associate	VERB
cana-1618	62	11	with	with	ADP
cana-1618	62	12	solving	solve	VERB
cana-1618	62	13	large	large	ADJ
cana-1618	62	14	-	-	PUNCT
cana-1618	62	15	scale	scale	NOUN
cana-1618	62	16	pdes	pde	NOUN
cana-1618	62	17	in	in	ADP
cana-1618	62	18	geosciences	geoscience	NOUN
cana-1618	62	19	and	and	CCONJ
cana-1618	62	20	related	related	ADJ
cana-1618	62	21	fields	field	NOUN
cana-1618	62	22	.	.	PUNCT
cana-1618	63	1	guo	guo	PROPN
cana-1618	63	2	,	,	PUNCT
cana-1618	63	3	cao	cao	PROPN
cana-1618	63	4	,	,	PUNCT
cana-1618	63	5	liu	liu	PROPN
cana-1618	63	6	,	,	PUNCT
cana-1618	63	7	and	and	CCONJ
cana-1618	63	8	gao	gao	PROPN
cana-1618	63	9	(	(	PUNCT
cana-1618	63	10	2020	2020	NUM
cana-1618	63	11	)	)	PUNCT
cana-1618	63	12	explore	explore	VERB
cana-1618	63	13	the	the	DET
cana-1618	63	14	integration	integration	NOUN
cana-1618	63	15	of	of	ADP
cana-1618	63	16	deep	deep	ADJ
cana-1618	63	17	learning	learning	NOUN
cana-1618	63	18	and	and	CCONJ
cana-1618	63	19	physical	physical	ADJ
cana-1618	63	20	constraints	constraint	NOUN
cana-1618	63	21	for	for	ADP
cana-1618	63	22	solving	solve	VERB
cana-1618	63	23	pdes	pde	NOUN
cana-1618	63	24	in	in	ADP
cana-1618	63	25	their	their	PRON
cana-1618	63	26	paper	paper	NOUN
cana-1618	63	27	"	"	PUNCT
cana-1618	63	28	solving	solve	VERB
cana-1618	63	29	partial	partial	ADJ
cana-1618	63	30	differential	differential	ADJ
cana-1618	63	31	equations	equation	NOUN
cana-1618	63	32	using	use	VERB
cana-1618	63	33	deep	deep	ADJ
cana-1618	63	34	learning	learning	NOUN
cana-1618	63	35	and	and	CCONJ
cana-1618	63	36	physical	physical	ADJ
cana-1618	63	37	constraints	constraint	NOUN
cana-1618	63	38	,	,	PUNCT
cana-1618	63	39	"	"	PUNCT
cana-1618	63	40	published	publish	VERB
cana-1618	63	41	in	in	ADP
cana-1618	63	42	applied	applied	ADJ
cana-1618	63	43	sciences	science	NOUN
cana-1618	63	44	.	.	PUNCT
cana-1618	64	1	their	their	PRON
cana-1618	64	2	approach	approach	NOUN
cana-1618	64	3	combines	combine	VERB
cana-1618	64	4	deep	deep	ADJ
cana-1618	64	5	learning	learning	NOUN
cana-1618	64	6	architectures	architecture	NOUN
cana-1618	64	7	with	with	ADP
cana-1618	64	8	physical	physical	ADJ
cana-1618	64	9	principles	principle	NOUN
cana-1618	64	10	to	to	PART
cana-1618	64	11	develop	develop	VERB
cana-1618	64	12	accurate	accurate	ADJ
cana-1618	64	13	and	and	CCONJ
cana-1618	64	14	efficient	efficient	ADJ
cana-1618	64	15	solutions	solution	NOUN
cana-1618	64	16	for	for	ADP
cana-1618	64	17	pdes	pde	NOUN
cana-1618	64	18	.	.	PUNCT
cana-1618	65	1	by	by	ADP
cana-1618	65	2	incorporating	incorporate	VERB
cana-1618	65	3	knowledge	knowledge	NOUN
cana-1618	65	4	of	of	ADP
cana-1618	65	5	the	the	DET
cana-1618	65	6	underlying	underlie	VERB
cana-1618	65	7	physics	physics	NOUN
cana-1618	65	8	into	into	ADP
cana-1618	65	9	the	the	DET
cana-1618	65	10	training	training	NOUN
cana-1618	65	11	process	process	NOUN
cana-1618	65	12	of	of	ADP
cana-1618	65	13	neural	neural	ADJ
cana-1618	65	14	networks	network	NOUN
cana-1618	65	15	,	,	PUNCT
cana-1618	65	16	they	they	PRON
cana-1618	65	17	aim	aim	VERB
cana-1618	65	18	to	to	PART
cana-1618	65	19	improve	improve	VERB
cana-1618	65	20	the	the	DET
cana-1618	65	21	generalization	generalization	NOUN
cana-1618	65	22	and	and	CCONJ
cana-1618	65	23	stability	stability	NOUN
cana-1618	65	24	of	of	ADP
cana-1618	65	25	the	the	DET
cana-1618	65	26	models	model	NOUN
cana-1618	65	27	.	.	PUNCT
cana-1618	66	1	this	this	DET
cana-1618	66	2	approach	approach	NOUN
cana-1618	66	3	shows	show	VERB
cana-1618	66	4	potential	potential	NOUN
cana-1618	66	5	for	for	ADP
cana-1618	66	6	addressing	address	VERB
cana-1618	66	7	complex	complex	ADJ
cana-1618	66	8	pdes	pde	NOUN
cana-1618	66	9	in	in	ADP
cana-1618	66	10	various	various	ADJ
cana-1618	66	11	scientific	scientific	ADJ
cana-1618	66	12	and	and	CCONJ
cana-1618	66	13	engineering	engineering	NOUN
cana-1618	66	14	applications	application	NOUN
cana-1618	66	15	.	.	PUNCT
cana-1618	67	1	communications	communication	NOUN
cana-1618	67	2	on	on	ADP
cana-1618	67	3	applied	apply	VERB
cana-1618	67	4	nonlinear	nonlinear	ADJ
cana-1618	67	5	analysis	analysis	NOUN
cana-1618	67	6	issn	issn	NOUN
cana-1618	67	7	:	:	PUNCT
cana-1618	67	8	1074	1074	NUM
cana-1618	67	9	-	-	PUNCT
cana-1618	67	10	133x	133x	NUM
cana-1618	67	11	vol	vol	NOUN
cana-1618	67	12	32	32	NUM
cana-1618	67	13	no	no	NOUN
cana-1618	67	14	.	.	NOUN
cana-1618	67	15	1	1	NUM
cana-1618	67	16	(	(	PUNCT
cana-1618	67	17	2025	2025	NUM
cana-1618	67	18	)	)	PUNCT
cana-1618	67	19	26	26	NUM
cana-1618	67	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	67	21	3	3	X
cana-1618	67	22	.	.	PUNCT
cana-1618	67	23	solution	solution	NOUN
cana-1618	67	24	methods	method	NOUN
cana-1618	67	25	this	this	DET
cana-1618	67	26	round	round	NOUN
cana-1618	67	27	of	of	ADP
cana-1618	67	28	life	life	NOUN
cana-1618	67	29	uses	use	VERB
cana-1618	67	30	an	an	DET
cana-1618	67	31	exhibit	exhibit	NOUN
cana-1618	67	32	made	make	VERB
cana-1618	67	33	up	up	ADP
cana-1618	67	34	primarily	primarily	ADV
cana-1618	67	35	of	of	ADP
cana-1618	67	36	zeros	zero	NOUN
cana-1618	67	37	and	and	CCONJ
cana-1618	67	38	a	a	DET
cana-1618	67	39	small	small	ADJ
cana-1618	67	40	number	number	NOUN
cana-1618	67	41	of	of	ADP
cana-1618	67	42	ones	one	NOUN
cana-1618	67	43	,	,	PUNCT
cana-1618	67	44	much	much	ADV
cana-1618	67	45	like	like	ADP
cana-1618	67	46	a	a	DET
cana-1618	67	47	checkerboard	checkerboard	NOUN
cana-1618	67	48	.	.	PUNCT
cana-1618	68	1	they	they	PRON
cana-1618	68	2	are	be	AUX
cana-1618	68	3	referred	refer	VERB
cana-1618	68	4	to	to	ADP
cana-1618	68	5	as	as	ADP
cana-1618	68	6	"	"	PUNCT
cana-1618	68	7	counters	counter	NOUN
cana-1618	68	8	"	"	PUNCT
cana-1618	68	9	there	there	PRON
cana-1618	68	10	are	be	VERB
cana-1618	68	11	eight	eight	NUM
cana-1618	68	12	neighbours	neighbour	NOUN
cana-1618	68	13	for	for	ADP
cana-1618	68	14	every	every	DET
cana-1618	68	15	counter	counter	NOUN
cana-1618	68	16	.	.	PROPN
cana-1618	69	1	four	four	NUM
cana-1618	69	2	are	be	AUX
cana-1618	69	3	symmetrically	symmetrically	ADV
cana-1618	69	4	adjacent	adjacent	ADJ
cana-1618	69	5	,	,	PUNCT
cana-1618	69	6	while	while	SCONJ
cana-1618	69	7	four	four	NUM
cana-1618	69	8	are	be	AUX
cana-1618	69	9	slantingly	slantingly	ADV
cana-1618	69	10	adjacent	adjacent	ADJ
cana-1618	69	11	.	.	PUNCT
cana-1618	70	1	john	john	PROPN
cana-1618	70	2	conway	conway	PROPN
cana-1618	70	3	,	,	PUNCT
cana-1618	70	4	a	a	DET
cana-1618	70	5	mathematician	mathematician	NOUN
cana-1618	70	6	at	at	ADP
cana-1618	70	7	the	the	DET
cana-1618	70	8	college	college	PROPN
cana-1618	70	9	of	of	ADP
cana-1618	70	10	cambridge	cambridge	PROPN
cana-1618	70	11	's	's	PART
cana-1618	70	12	gonville	gonville	NOUN
cana-1618	70	13	and	and	CCONJ
cana-1618	70	14	caius	caius	PROPN
cana-1618	70	15	school	school	NOUN
cana-1618	70	16	,	,	PUNCT
cana-1618	70	17	provides	provide	VERB
cana-1618	70	18	the	the	DET
cana-1618	70	19	"	"	PUNCT
cana-1618	70	20	hereditary	hereditary	ADJ
cana-1618	70	21	standards	standard	NOUN
cana-1618	70	22	"	"	PUNCT
cana-1618	70	23	for	for	ADP
cana-1618	70	24	life	life	NOUN
cana-1618	70	25	,	,	PUNCT
cana-1618	70	26	which	which	PRON
cana-1618	70	27	are	be	AUX
cana-1618	70	28	as	as	SCONJ
cana-1618	70	29	follows	follow	VERB
cana-1618	70	30	:	:	PUNCT
cana-1618	70	31	consistencies	consistency	NOUN
cana-1618	70	32	.	.	PUNCT
cana-1618	71	1	a	a	DET
cana-1618	71	2	counter	counter	NOUN
cana-1618	71	3	that	that	PRON
cana-1618	71	4	has	have	VERB
cana-1618	71	5	two	two	NUM
cana-1618	71	6	or	or	CCONJ
cana-1618	71	7	three	three	NUM
cana-1618	71	8	adjacent	adjacent	ADJ
cana-1618	71	9	counters	counter	NOUN
cana-1618	71	10	enables	enable	VERB
cana-1618	71	11	accommodations	accommodation	NOUN
cana-1618	71	12	for	for	ADP
cana-1618	71	13	future	future	ADJ
cana-1618	71	14	needs	need	NOUN
cana-1618	71	15	.	.	PUNCT
cana-1618	72	1	deaths	death	NOUN
cana-1618	72	2	.	.	PUNCT
cana-1618	73	1	every	every	DET
cana-1618	73	2	counter	counter	NOUN
cana-1618	73	3	that	that	PRON
cana-1618	73	4	has	have	VERB
cana-1618	73	5	four	four	NUM
cana-1618	73	6	or	or	CCONJ
cana-1618	73	7	more	more	ADJ
cana-1618	73	8	neighbours	neighbour	NOUN
cana-1618	73	9	gets	get	AUX
cana-1618	73	10	eliminated	eliminate	VERB
cana-1618	73	11	due	due	ADJ
cana-1618	73	12	to	to	ADP
cana-1618	73	13	overcrowding	overcrowding	NOUN
cana-1618	73	14	.	.	PUNCT
cana-1618	74	1	every	every	DET
cana-1618	74	2	counter	counter	NOUN
cana-1618	74	3	that	that	PRON
cana-1618	74	4	has	have	VERB
cana-1618	74	5	one	one	NUM
cana-1618	74	6	neighbour	neighbour	NOUN
cana-1618	74	7	or	or	CCONJ
cana-1618	74	8	none	none	NOUN
cana-1618	74	9	at	at	ADV
cana-1618	74	10	all	all	PRON
cana-1618	74	11	faces	face	VERB
cana-1618	74	12	disconnection	disconnection	NOUN
cana-1618	74	13	.	.	PUNCT
cana-1618	75	1	births	birth	NOUN
cana-1618	75	2	.	.	PUNCT
cana-1618	76	1	a	a	DET
cana-1618	76	2	birth	birth	NOUN
cana-1618	76	3	cell	cell	NOUN
cana-1618	76	4	is	be	AUX
cana-1618	76	5	any	any	DET
cana-1618	76	6	empty	empty	ADJ
cana-1618	76	7	cell	cell	NOUN
cana-1618	76	8	that	that	PRON
cana-1618	76	9	is	be	AUX
cana-1618	76	10	adjacent	adjacent	ADJ
cana-1618	76	11	to	to	ADP
cana-1618	76	12	exactly	exactly	ADV
cana-1618	76	13	three	three	NUM
cana-1618	76	14	neighbours	neighbour	NOUN
cana-1618	76	15	,	,	PUNCT
cana-1618	76	16	neither	neither	CCONJ
cana-1618	76	17	more	more	ADJ
cana-1618	76	18	nor	nor	CCONJ
cana-1618	76	19	less	less	ADJ
cana-1618	76	20	.	.	PUNCT
cana-1618	77	1	in	in	ADP
cana-1618	77	2	this	this	DET
cana-1618	77	3	cell	cell	NOUN
cana-1618	77	4	,	,	PUNCT
cana-1618	77	5	a	a	DET
cana-1618	77	6	counter	counter	NOUN
cana-1618	77	7	is	be	AUX
cana-1618	77	8	set	set	VERB
cana-1618	77	9	at	at	ADP
cana-1618	77	10	the	the	DET
cana-1618	77	11	next	next	ADJ
cana-1618	77	12	move	move	NOUN
cana-1618	77	13	.	.	PUNCT
cana-1618	78	1	it	it	PRON
cana-1618	78	2	is	be	AUX
cana-1618	78	3	important	important	ADJ
cana-1618	78	4	to	to	PART
cana-1618	78	5	recognise	recognise	VERB
cana-1618	78	6	that	that	SCONJ
cana-1618	78	7	all	all	DET
cana-1618	78	8	births	birth	NOUN
cana-1618	78	9	and	and	CCONJ
cana-1618	78	10	deaths	death	NOUN
cana-1618	78	11	happen	happen	VERB
cana-1618	78	12	simultaneously	simultaneously	ADV
cana-1618	78	13	since	since	SCONJ
cana-1618	78	14	all	all	DET
cana-1618	78	15	cells	cell	NOUN
cana-1618	78	16	are	be	AUX
cana-1618	78	17	evaluated	evaluate	VERB
cana-1618	78	18	at	at	ADP
cana-1618	78	19	the	the	DET
cana-1618	78	20	same	same	ADJ
cana-1618	78	21	time	time	NOUN
cana-1618	78	22	.	.	PUNCT
cana-1618	79	1	they	they	PRON
cana-1618	79	2	are	be	AUX
cana-1618	79	3	n't	not	PART
cana-1618	79	4	altered	alter	VERB
cana-1618	79	5	until	until	ADP
cana-1618	79	6	the	the	DET
cana-1618	79	7	emphasis	emphasis	NOUN
cana-1618	79	8	that	that	PRON
cana-1618	79	9	follows	follow	VERB
cana-1618	79	10	.	.	PUNCT
cana-1618	80	1	originally	originally	ADV
cana-1618	80	2	,	,	PUNCT
cana-1618	80	3	the	the	DET
cana-1618	80	4	round	round	NOUN
cana-1618	80	5	of	of	ADP
cana-1618	80	6	life	life	NOUN
cana-1618	80	7	was	be	AUX
cana-1618	80	8	changed	change	VERB
cana-1618	80	9	for	for	ADP
cana-1618	80	10	a	a	DET
cana-1618	80	11	later	later	ADJ
cana-1618	80	12	pc	pc	NOUN
cana-1618	80	13	.	.	PUNCT
cana-1618	81	1	this	this	DET
cana-1618	81	2	successive	successive	ADJ
cana-1618	81	3	programme	programme	NOUN
cana-1618	81	4	gave	give	VERB
cana-1618	81	5	rise	rise	NOUN
cana-1618	81	6	to	to	ADP
cana-1618	81	7	a	a	DET
cana-1618	81	8	parallel	parallel	ADJ
cana-1618	81	9	programme	programme	NOUN
cana-1618	81	10	.	.	PUNCT
cana-1618	82	1	the	the	DET
cana-1618	82	2	behaviour	behaviour	NOUN
cana-1618	82	3	of	of	ADP
cana-1618	82	4	this	this	DET
cana-1618	82	5	parallel	parallel	ADJ
cana-1618	82	6	programme	programme	NOUN
cana-1618	82	7	is	be	AUX
cana-1618	82	8	displayed	display	VERB
cana-1618	82	9	below	below	ADV
cana-1618	82	10	.	.	PUNCT
cana-1618	83	1	acknowledge	acknowledge	VERB
cana-1618	83	2	that	that	PRON
cana-1618	83	3	sixteen	sixteen	NUM
cana-1618	83	4	processors	processor	NOUN
cana-1618	83	5	(	(	PUNCT
cana-1618	83	6	numbered	number	VERB
cana-1618	83	7	0	0	NUM
cana-1618	83	8	-	-	SYM
cana-1618	83	9	15	15	NUM
cana-1618	83	10	)	)	PUNCT
cana-1618	83	11	are	be	AUX
cana-1618	83	12	being	be	AUX
cana-1618	83	13	utilized	utilize	VERB
cana-1618	83	14	for	for	ADP
cana-1618	83	15	usability	usability	NOUN
cana-1618	83	16	.	.	PUNCT
cana-1618	84	1	the	the	DET
cana-1618	84	2	fundamental	fundamental	ADJ
cana-1618	84	3	communicator	communicator	NOUN
cana-1618	84	4	,	,	PUNCT
cana-1618	84	5	processor	processor	NOUN
cana-1618	84	6	0	0	NUM
cana-1618	84	7	,	,	PUNCT
cana-1618	84	8	is	be	AUX
cana-1618	84	9	utilized	utilize	VERB
cana-1618	84	10	to	to	PART
cana-1618	84	11	deteriorate	deteriorate	VERB
cana-1618	84	12	every	every	DET
cana-1618	84	13	processor	processor	NOUN
cana-1618	84	14	's	's	PART
cana-1618	84	15	part	part	NOUN
cana-1618	84	16	,	,	PUNCT
cana-1618	84	17	as	as	SCONJ
cana-1618	84	18	found	find	VERB
cana-1618	84	19	in	in	ADP
cana-1618	84	20	figure	figure	NOUN
cana-1618	84	21	1	1	NUM
cana-1618	84	22	.	.	PUNCT
cana-1618	84	23	figure	figure	NOUN
cana-1618	84	24	1	1	NUM
cana-1618	84	25	:	:	SYM
cana-1618	84	26	16	16	NUM
cana-1618	84	27	processors	processor	NOUN
cana-1618	84	28	arranged	arrange	VERB
cana-1618	84	29	in	in	ADP
cana-1618	84	30	a	a	DET
cana-1618	84	31	matrix	matrix	NOUN
cana-1618	84	32	evaluation	evaluation	NOUN
cana-1618	84	33	layout	layout	NOUN
cana-1618	84	34	processor	processor	NOUN
cana-1618	84	35	0	0	NUM
cana-1618	84	36	at	at	ADP
cana-1618	84	37	first	first	ADJ
cana-1618	84	38	stores	store	NOUN
cana-1618	84	39	the	the	DET
cana-1618	84	40	whole	whole	ADJ
cana-1618	84	41	one	one	NUM
cana-1618	84	42	of	of	ADP
cana-1618	84	43	a	a	DET
cana-1618	84	44	kind	kind	NOUN
cana-1618	84	45	show	show	NOUN
cana-1618	84	46	;	;	PUNCT
cana-1618	84	47	be	be	AUX
cana-1618	84	48	that	that	SCONJ
cana-1618	84	49	as	as	SCONJ
cana-1618	84	50	it	it	PRON
cana-1618	84	51	may	may	AUX
cana-1618	84	52	,	,	PUNCT
cana-1618	84	53	to	to	PART
cana-1618	84	54	lessen	lessen	VERB
cana-1618	84	55	calculation	calculation	NOUN
cana-1618	84	56	time	time	NOUN
cana-1618	84	57	,	,	PUNCT
cana-1618	84	58	it	it	PRON
cana-1618	84	59	disseminates	disseminate	VERB
cana-1618	84	60	1/16	1/16	NUM
cana-1618	84	61	of	of	ADP
cana-1618	84	62	the	the	DET
cana-1618	84	63	main	main	ADJ
cana-1618	84	64	bunch	bunch	NOUN
cana-1618	84	65	for	for	ADP
cana-1618	84	66	assessment	assessment	NOUN
cana-1618	84	67	among	among	ADP
cana-1618	84	68	all	all	DET
cana-1618	84	69	processors	processor	NOUN
cana-1618	84	70	.	.	PUNCT
cana-1618	85	1	for	for	SCONJ
cana-1618	85	2	every	every	DET
cana-1618	85	3	processor	processor	NOUN
cana-1618	85	4	to	to	PART
cana-1618	85	5	have	have	VERB
cana-1618	85	6	direct	direct	ADJ
cana-1618	85	7	admittance	admittance	NOUN
cana-1618	85	8	to	to	ADP
cana-1618	85	9	each	each	PRON
cana-1618	85	10	of	of	ADP
cana-1618	85	11	the	the	DET
cana-1618	85	12	eight	eight	NUM
cana-1618	85	13	of	of	ADP
cana-1618	85	14	its	its	PRON
cana-1618	85	15	neighbors	neighbor	NOUN
cana-1618	85	16	,	,	PUNCT
cana-1618	85	17	it	it	PRON
cana-1618	85	18	gets	get	VERB
cana-1618	85	19	an	an	DET
cana-1618	85	20	additional	additional	ADJ
cana-1618	85	21	line	line	NOUN
cana-1618	85	22	of	of	ADP
cana-1618	85	23	numbers	number	NOUN
cana-1618	85	24	encompassing	encompass	VERB
cana-1618	85	25	the	the	DET
cana-1618	85	26	region	region	NOUN
cana-1618	85	27	outside	outside	ADP
cana-1618	85	28	its	its	PRON
cana-1618	85	29	own	own	ADJ
cana-1618	85	30	sub	sub	NOUN
cana-1618	85	31	-	-	NOUN
cana-1618	85	32	grid	grid	ADJ
cana-1618	85	33	.	.	PUNCT
cana-1618	86	1	adjacent	adjacent	ADJ
cana-1618	86	2	lines	line	NOUN
cana-1618	86	3	or	or	CCONJ
cana-1618	86	4	sections	section	NOUN
cana-1618	86	5	from	from	ADP
cana-1618	86	6	the	the	DET
cana-1618	86	7	close	close	NOUN
cana-1618	86	8	by	by	ADP
cana-1618	86	9	processors	processor	NOUN
cana-1618	86	10	make	make	VERB
cana-1618	86	11	up	up	ADP
cana-1618	86	12	these	these	DET
cana-1618	86	13	additional	additional	ADJ
cana-1618	86	14	numbers	number	NOUN
cana-1618	86	15	.	.	PUNCT
cana-1618	87	1	this	this	PRON
cana-1618	87	2	should	should	AUX
cana-1618	87	3	be	be	AUX
cana-1618	87	4	visible	visible	ADJ
cana-1618	87	5	in	in	ADP
cana-1618	87	6	figure	figure	NOUN
cana-1618	87	7	2	2	NUM
cana-1618	87	8	..	..	PUNCT
cana-1618	87	9	communications	communication	NOUN
cana-1618	87	10	on	on	ADP
cana-1618	87	11	applied	apply	VERB
cana-1618	87	12	nonlinear	nonlinear	ADJ
cana-1618	87	13	analysis	analysis	NOUN
cana-1618	87	14	issn	issn	NOUN
cana-1618	87	15	:	:	PUNCT
cana-1618	87	16	1074	1074	NUM
cana-1618	87	17	-	-	PUNCT
cana-1618	87	18	133x	133x	NUM
cana-1618	87	19	vol	vol	NOUN
cana-1618	87	20	32	32	NUM
cana-1618	87	21	no	no	NOUN
cana-1618	87	22	.	.	NOUN
cana-1618	87	23	1	1	NUM
cana-1618	87	24	(	(	PUNCT
cana-1618	87	25	2025	2025	NUM
cana-1618	87	26	)	)	PUNCT
cana-1618	87	27	27	27	NUM
cana-1618	87	28	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	87	29	figure	figure	NOUN
cana-1618	87	30	2	2	NUM
cana-1618	87	31	:	:	PUNCT
cana-1618	87	32	matrix	matrix	NOUN
cana-1618	87	33	breakdown	breakdown	NOUN
cana-1618	87	34	for	for	ADP
cana-1618	87	35	each	each	DET
cana-1618	87	36	cpu	cpu	NOUN
cana-1618	87	37	,	,	PUNCT
cana-1618	87	38	displaying	display	VERB
cana-1618	87	39	shared	share	VERB
cana-1618	87	40	rows	row	NOUN
cana-1618	87	41	and	and	CCONJ
cana-1618	87	42	columns	column	NOUN
cana-1618	87	43	the	the	DET
cana-1618	87	44	following	follow	VERB
cana-1618	87	45	is	be	AUX
cana-1618	87	46	the	the	DET
cana-1618	87	47	interprocessor	interprocessor	NOUN
cana-1618	87	48	interaction	interaction	NOUN
cana-1618	87	49	algorithm	algorithm	NOUN
cana-1618	87	50	employed	employ	VERB
cana-1618	87	51	in	in	ADP
cana-1618	87	52	the	the	DET
cana-1618	87	53	previously	previously	ADV
cana-1618	87	54	discussed	discuss	VERB
cana-1618	87	55	method	method	NOUN
cana-1618	87	56	.	.	PUNCT
cana-1618	88	1	:	:	PUNCT
cana-1618	88	2	processor	processor	NOUN
cana-1618	88	3	0	0	NUM
cana-1618	88	4	holds	hold	VERB
cana-1618	88	5	the	the	DET
cana-1618	88	6	primary	primary	ADJ
cana-1618	88	7	bunch	bunch	NOUN
cana-1618	88	8	.	.	PUNCT
cana-1618	89	1	processor	processor	NOUN
cana-1618	89	2	0	0	NUM
cana-1618	89	3	then	then	ADV
cana-1618	89	4	sends	send	VERB
cana-1618	89	5	every	every	DET
cana-1618	89	6	processor	processor	NOUN
cana-1618	89	7	their	their	PRON
cana-1618	89	8	piece	piece	NOUN
cana-1618	89	9	alongside	alongside	ADP
cana-1618	89	10	as	as	ADV
cana-1618	89	11	far	far	ADV
cana-1618	89	12	as	as	ADP
cana-1618	89	13	possible	possible	ADJ
cana-1618	89	14	lines	line	NOUN
cana-1618	89	15	.	.	PUNCT
cana-1618	90	1	every	every	DET
cana-1618	90	2	processor	processor	NOUN
cana-1618	90	3	then	then	ADV
cana-1618	90	4	copies	copy	VERB
cana-1618	90	5	their	their	PRON
cana-1618	90	6	piece	piece	NOUN
cana-1618	90	7	into	into	ADP
cana-1618	90	8	a	a	DET
cana-1618	90	9	little	little	ADJ
cana-1618	90	10	concise	concise	ADJ
cana-1618	90	11	bunch	bunch	NOUN
cana-1618	90	12	.	.	PUNCT
cana-1618	91	1	the	the	DET
cana-1618	91	2	processors	processor	NOUN
cana-1618	91	3	then	then	ADV
cana-1618	91	4	check	check	VERB
cana-1618	91	5	the	the	DET
cana-1618	91	6	neighbors	neighbor	NOUN
cana-1618	91	7	of	of	ADP
cana-1618	91	8	every	every	DET
cana-1618	91	9	cell	cell	NOUN
cana-1618	91	10	in	in	ADP
cana-1618	91	11	their	their	PRON
cana-1618	91	12	piece	piece	NOUN
cana-1618	91	13	bunches	bunche	NOUN
cana-1618	91	14	and	and	CCONJ
cana-1618	91	15	record	record	VERB
cana-1618	91	16	the	the	DET
cana-1618	91	17	fundamental	fundamental	ADJ
cana-1618	91	18	changes	change	NOUN
cana-1618	91	19	in	in	ADP
cana-1618	91	20	their	their	PRON
cana-1618	91	21	temporary	temporary	ADJ
cana-1618	91	22	displays	display	NOUN
cana-1618	91	23	.	.	PUNCT
cana-1618	92	1	every	every	DET
cana-1618	92	2	processor	processor	NOUN
cana-1618	92	3	then	then	ADV
cana-1618	92	4	copies	copy	VERB
cana-1618	92	5	its	its	PRON
cana-1618	92	6	fleeting	fleeting	ADJ
cana-1618	92	7	display	display	NOUN
cana-1618	92	8	(	(	PUNCT
cana-1618	92	9	which	which	PRON
cana-1618	92	10	holds	hold	VERB
cana-1618	92	11	the	the	DET
cana-1618	92	12	progressions	progression	NOUN
cana-1618	92	13	in	in	ADP
cana-1618	92	14	general	general	ADJ
cana-1618	92	15	)	)	PUNCT
cana-1618	92	16	into	into	ADP
cana-1618	92	17	a	a	DET
cana-1618	92	18	last	last	ADJ
cana-1618	92	19	group	group	NOUN
cana-1618	92	20	.	.	PUNCT
cana-1618	93	1	this	this	DET
cana-1618	93	2	last	last	ADJ
cana-1618	93	3	show	show	NOUN
cana-1618	93	4	just	just	ADV
cana-1618	93	5	holds	hold	VERB
cana-1618	93	6	back	back	ADP
cana-1618	93	7	the	the	DET
cana-1618	93	8	processor	processor	NOUN
cana-1618	93	9	.	.	PUNCT
cana-1618	94	1	it	it	PRON
cana-1618	94	2	's	be	AUX
cana-1618	94	3	not	not	PART
cana-1618	94	4	actually	actually	ADV
cana-1618	94	5	the	the	DET
cana-1618	94	6	ideal	ideal	ADJ
cana-1618	94	7	approach	approach	NOUN
cana-1618	94	8	to	to	PART
cana-1618	94	9	use	use	VERB
cana-1618	94	10	a	a	DET
cana-1618	94	11	subsequent	subsequent	ADJ
cana-1618	94	12	program	program	NOUN
cana-1618	94	13	's	's	PART
cana-1618	94	14	need	need	NOUN
cana-1618	94	15	for	for	ADP
cana-1618	94	16	a	a	DET
cana-1618	94	17	parallel	parallel	ADJ
cana-1618	94	18	programme	programme	NOUN
cana-1618	94	19	.	.	PUNCT
cana-1618	95	1	even	even	ADV
cana-1618	95	2	though	though	SCONJ
cana-1618	95	3	sixteen	sixteen	NUM
cana-1618	95	4	processors	processor	NOUN
cana-1618	95	5	share	share	VERB
cana-1618	95	6	the	the	DET
cana-1618	95	7	task	task	NOUN
cana-1618	95	8	of	of	ADP
cana-1618	95	9	evaluating	evaluate	VERB
cana-1618	95	10	the	the	DET
cana-1618	95	11	lattice	lattice	NOUN
cana-1618	95	12	,	,	PUNCT
cana-1618	95	13	processor	processor	NOUN
cana-1618	95	14	0	0	NUM
cana-1618	95	15	can	can	AUX
cana-1618	95	16	still	still	ADV
cana-1618	95	17	evaluate	evaluate	VERB
cana-1618	95	18	the	the	DET
cana-1618	95	19	correspondence	correspondence	NOUN
cana-1618	95	20	.	.	PUNCT
cana-1618	96	1	while	while	SCONJ
cana-1618	96	2	other	other	ADJ
cana-1618	96	3	processors	processor	NOUN
cana-1618	96	4	wait	wait	VERB
cana-1618	96	5	patiently	patiently	ADV
cana-1618	96	6	for	for	ADP
cana-1618	96	7	their	their	PRON
cana-1618	96	8	assignments	assignment	NOUN
cana-1618	96	9	,	,	PUNCT
cana-1618	96	10	processor	processor	NOUN
cana-1618	96	11	0	0	NUM
cana-1618	96	12	is	be	AUX
cana-1618	96	13	left	leave	VERB
cana-1618	96	14	with	with	ADP
cana-1618	96	15	an	an	DET
cana-1618	96	16	abundance	abundance	NOUN
cana-1618	96	17	of	of	ADP
cana-1618	96	18	work	work	NOUN
cana-1618	96	19	.	.	PUNCT
cana-1618	97	1	this	this	PRON
cana-1618	97	2	calls	call	VERB
cana-1618	97	3	for	for	ADP
cana-1618	97	4	an	an	DET
cana-1618	97	5	additional	additional	ADJ
cana-1618	97	6	tactic	tactic	NOUN
cana-1618	97	7	.	.	PUNCT
cana-1618	98	1	this	this	DET
cana-1618	98	2	approach	approach	NOUN
cana-1618	98	3	suggests	suggest	VERB
cana-1618	98	4	first	first	ADV
cana-1618	98	5	characterising	characterise	VERB
cana-1618	98	6	the	the	DET
cana-1618	98	7	problem	problem	NOUN
cana-1618	98	8	before	before	ADP
cana-1618	98	9	attempting	attempt	VERB
cana-1618	98	10	to	to	PART
cana-1618	98	11	write	write	VERB
cana-1618	98	12	a	a	DET
cana-1618	98	13	parallel	parallel	ADJ
cana-1618	98	14	programme	programme	NOUN
cana-1618	98	15	that	that	PRON
cana-1618	98	16	takes	take	VERB
cana-1618	98	17	different	different	ADJ
cana-1618	98	18	processors	processor	NOUN
cana-1618	98	19	into	into	ADP
cana-1618	98	20	account	account	NOUN
cana-1618	98	21	.	.	PUNCT
cana-1618	99	1	a	a	DET
cana-1618	99	2	second	second	ADJ
cana-1618	99	3	programme	programme	NOUN
cana-1618	99	4	about	about	ADP
cana-1618	99	5	the	the	DET
cana-1618	99	6	circle	circle	NOUN
cana-1618	99	7	of	of	ADP
cana-1618	99	8	life	life	NOUN
cana-1618	99	9	was	be	AUX
cana-1618	99	10	written	write	VERB
cana-1618	99	11	.	.	PUNCT
cana-1618	100	1	this	this	DET
cana-1618	100	2	method	method	NOUN
cana-1618	100	3	determines	determine	VERB
cana-1618	100	4	each	each	DET
cana-1618	100	5	processor	processor	NOUN
cana-1618	100	6	's	's	PART
cana-1618	100	7	four	four	NUM
cana-1618	100	8	adjacent	adjacent	ADJ
cana-1618	100	9	processors	processor	NOUN
cana-1618	100	10	by	by	ADP
cana-1618	100	11	looking	look	VERB
cana-1618	100	12	at	at	ADP
cana-1618	100	13	the	the	DET
cana-1618	100	14	processor	processor	NOUN
cana-1618	100	15	format	format	NOUN
cana-1618	100	16	,	,	PUNCT
cana-1618	100	17	such	such	ADJ
cana-1618	100	18	as	as	ADP
cana-1618	100	19	a	a	DET
cana-1618	100	20	comparable	comparable	ADJ
cana-1618	100	21	sixteen	sixteen	NOUN
cana-1618	100	22	.	.	PUNCT
cana-1618	101	1	for	for	ADP
cana-1618	101	2	the	the	DET
cana-1618	101	3	purpose	purpose	NOUN
cana-1618	101	4	of	of	ADP
cana-1618	101	5	updating	update	VERB
cana-1618	101	6	their	their	PRON
cana-1618	101	7	own	own	ADJ
cana-1618	101	8	clusters	cluster	NOUN
cana-1618	101	9	,	,	PUNCT
cana-1618	101	10	these	these	DET
cana-1618	101	11	neighbours	neighbour	NOUN
cana-1618	101	12	would	would	AUX
cana-1618	101	13	need	need	VERB
cana-1618	101	14	the	the	DET
cana-1618	101	15	exterior	exterior	ADJ
cana-1618	101	16	lines	line	NOUN
cana-1618	101	17	and	and	CCONJ
cana-1618	101	18	segments	segment	NOUN
cana-1618	101	19	of	of	ADP
cana-1618	101	20	the	the	DET
cana-1618	101	21	processor	processor	NOUN
cana-1618	101	22	.	.	PUNCT
cana-1618	102	1	for	for	ADP
cana-1618	102	2	example	example	NOUN
cana-1618	102	3	,	,	PUNCT
cana-1618	102	4	processor	processor	NOUN
cana-1618	102	5	s	s	PROPN
cana-1618	102	6	's	's	PART
cana-1618	102	7	neighbors	neighbor	NOUN
cana-1618	102	8	in	in	ADP
cana-1618	102	9	the	the	DET
cana-1618	102	10	handling	handling	NOUN
cana-1618	102	11	configuration	configuration	NOUN
cana-1618	102	12	displayed	display	VERB
cana-1618	102	13	in	in	ADP
cana-1618	102	14	figure	figure	NOUN
cana-1618	102	15	1	1	NUM
cana-1618	102	16	are	be	AUX
cana-1618	102	17	north	north	NOUN
cana-1618	102	18	=	=	SYM
cana-1618	102	19	1	1	NUM
cana-1618	102	20	,	,	PUNCT
cana-1618	102	21	south	south	NOUN
cana-1618	102	22	=	=	SYM
cana-1618	102	23	9	9	NUM
cana-1618	102	24	,	,	PUNCT
cana-1618	102	25	east	east	NOUN
cana-1618	102	26	=	=	SYM
cana-1618	102	27	6	6	NUM
cana-1618	102	28	,	,	PUNCT
cana-1618	102	29	and	and	CCONJ
cana-1618	102	30	west	west	NOUN
cana-1618	102	31	=	=	SYM
cana-1618	102	32	4	4	X
cana-1618	102	33	.	.	PUNCT
cana-1618	102	34	processors	processor	NOUN
cana-1618	102	35	4	4	NUM
cana-1618	102	36	and	and	CCONJ
cana-1618	102	37	6	6	NUM
cana-1618	102	38	would	would	AUX
cana-1618	102	39	get	get	VERB
cana-1618	102	40	the	the	DET
cana-1618	102	41	farthest	farth	ADJ
cana-1618	102	42	left	left	ADJ
cana-1618	102	43	and	and	CCONJ
cana-1618	102	44	right	right	ADJ
cana-1618	102	45	fragments	fragment	NOUN
cana-1618	102	46	independently	independently	ADV
cana-1618	102	47	,	,	PUNCT
cana-1618	102	48	while	while	SCONJ
cana-1618	102	49	processor	processor	NOUN
cana-1618	102	50	1	1	NUM
cana-1618	102	51	would	would	AUX
cana-1618	102	52	acknowledge	acknowledge	VERB
cana-1618	102	53	s	s	NOUN
cana-1618	102	54	's	's	PART
cana-1618	102	55	most	most	ADV
cana-1618	102	56	essential	essential	ADJ
cana-1618	102	57	line	line	NOUN
cana-1618	102	58	and	and	CCONJ
cana-1618	102	59	processor	processor	NOUN
cana-1618	102	60	9	9	NUM
cana-1618	102	61	would	would	AUX
cana-1618	102	62	acknowledge	acknowledge	VERB
cana-1618	102	63	s	s	PROPN
cana-1618	102	64	's	's	PART
cana-1618	102	65	last	last	ADJ
cana-1618	102	66	section	section	NOUN
cana-1618	102	67	.	.	PUNCT
cana-1618	103	1	since	since	SCONJ
cana-1618	103	2	the	the	DET
cana-1618	103	3	processors	processor	NOUN
cana-1618	103	4	can	can	AUX
cana-1618	103	5	rapidly	rapidly	ADV
cana-1618	103	6	accept	accept	VERB
cana-1618	103	7	their	their	PRON
cana-1618	103	8	messages	message	NOUN
cana-1618	103	9	and	and	CCONJ
cana-1618	103	10	complete	complete	VERB
cana-1618	103	11	their	their	PRON
cana-1618	103	12	undertakings	undertaking	NOUN
cana-1618	103	13	,	,	PUNCT
cana-1618	103	14	this	this	PRON
cana-1618	103	15	altogether	altogether	ADV
cana-1618	103	16	lessens	lessen	VERB
cana-1618	103	17	the	the	DET
cana-1618	103	18	costs	cost	NOUN
cana-1618	103	19	related	relate	VERB
cana-1618	103	20	with	with	ADP
cana-1618	103	21	correspondence	correspondence	NOUN
cana-1618	103	22	.	.	PUNCT
cana-1618	104	1	coming	come	VERB
cana-1618	104	2	up	up	ADP
cana-1618	104	3	next	next	ADV
cana-1618	104	4	is	be	AUX
cana-1618	104	5	the	the	DET
cana-1618	104	6	computation	computation	NOUN
cana-1618	104	7	for	for	ADP
cana-1618	104	8	this	this	DET
cana-1618	104	9	metho	metho	PROPN
cana-1618	104	10	.	.	PUNCT
cana-1618	104	11	:	:	PUNCT
cana-1618	105	1	communications	communication	NOUN
cana-1618	105	2	on	on	ADP
cana-1618	105	3	applied	apply	VERB
cana-1618	105	4	nonlinear	nonlinear	ADJ
cana-1618	105	5	analysis	analysis	NOUN
cana-1618	105	6	issn	issn	NOUN
cana-1618	105	7	:	:	PUNCT
cana-1618	105	8	1074	1074	NUM
cana-1618	105	9	-	-	PUNCT
cana-1618	105	10	133x	133x	NUM
cana-1618	105	11	vol	vol	NOUN
cana-1618	105	12	32	32	NUM
cana-1618	105	13	no	no	NOUN
cana-1618	105	14	.	.	NOUN
cana-1618	105	15	1	1	NUM
cana-1618	105	16	(	(	PUNCT
cana-1618	105	17	2025	2025	NUM
cana-1618	105	18	)	)	PUNCT
cana-1618	105	19	28	28	NUM
cana-1618	105	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	105	21	processor	processor	NOUN
cana-1618	105	22	0	0	NUM
cana-1618	105	23	is	be	AUX
cana-1618	105	24	accountable	accountable	ADJ
cana-1618	105	25	for	for	ADP
cana-1618	105	26	the	the	DET
cana-1618	105	27	primary	primary	ADJ
cana-1618	105	28	bunch	bunch	NOUN
cana-1618	105	29	.	.	PUNCT
cana-1618	106	1	processor	processor	NOUN
cana-1618	106	2	0	0	PROPN
cana-1618	106	3	sends	send	VERB
cana-1618	106	4	every	every	DET
cana-1618	106	5	processor	processor	NOUN
cana-1618	106	6	their	their	PRON
cana-1618	106	7	piece	piece	NOUN
cana-1618	106	8	alongside	alongside	ADP
cana-1618	106	9	as	as	ADV
cana-1618	106	10	far	far	ADV
cana-1618	106	11	as	as	ADP
cana-1618	106	12	possible	possible	ADJ
cana-1618	106	13	lines	line	NOUN
cana-1618	106	14	.	.	PUNCT
cana-1618	107	1	every	every	DET
cana-1618	107	2	processor	processor	NOUN
cana-1618	107	3	duplicates	duplicate	VERB
cana-1618	107	4	its	its	PRON
cana-1618	107	5	piece	piece	NOUN
cana-1618	107	6	into	into	ADP
cana-1618	107	7	a	a	DET
cana-1618	107	8	little	little	ADJ
cana-1618	107	9	fleeting	fleeting	ADJ
cana-1618	107	10	bunch	bunch	NOUN
cana-1618	107	11	.	.	PUNCT
cana-1618	108	1	the	the	DET
cana-1618	108	2	processors	processor	NOUN
cana-1618	108	3	then	then	ADV
cana-1618	108	4	check	check	VERB
cana-1618	108	5	the	the	DET
cana-1618	108	6	neighbors	neighbor	NOUN
cana-1618	108	7	of	of	ADP
cana-1618	108	8	every	every	DET
cana-1618	108	9	cell	cell	NOUN
cana-1618	108	10	in	in	ADP
cana-1618	108	11	their	their	PRON
cana-1618	108	12	piece	piece	NOUN
cana-1618	108	13	groups	group	NOUN
cana-1618	108	14	and	and	CCONJ
cana-1618	108	15	record	record	VERB
cana-1618	108	16	any	any	DET
cana-1618	108	17	huge	huge	ADJ
cana-1618	108	18	changes	change	NOUN
cana-1618	108	19	in	in	ADP
cana-1618	108	20	their	their	PRON
cana-1618	108	21	temporary	temporary	ADJ
cana-1618	108	22	shows	show	NOUN
cana-1618	108	23	.	.	PUNCT
cana-1618	109	1	every	every	DET
cana-1618	109	2	processor	processor	NOUN
cana-1618	109	3	duplicates	duplicate	VERB
cana-1618	109	4	its	its	PRON
cana-1618	109	5	temporary	temporary	ADJ
cana-1618	109	6	group	group	NOUN
cana-1618	109	7	,	,	PUNCT
cana-1618	109	8	which	which	PRON
cana-1618	109	9	contains	contain	VERB
cana-1618	109	10	the	the	DET
cana-1618	109	11	progressions	progression	NOUN
cana-1618	109	12	as	as	ADP
cana-1618	109	13	a	a	DET
cana-1618	109	14	whole	whole	NOUN
cana-1618	109	15	,	,	PUNCT
cana-1618	109	16	into	into	ADP
cana-1618	109	17	a	a	DET
cana-1618	109	18	last	last	ADJ
cana-1618	109	19	display	display	NOUN
cana-1618	109	20	.	.	PUNCT
cana-1618	110	1	the	the	DET
cana-1618	110	2	last	last	ADJ
cana-1618	110	3	show	show	NOUN
cana-1618	110	4	just	just	ADV
cana-1618	110	5	incorporates	incorporate	VERB
cana-1618	110	6	the	the	DET
cana-1618	110	7	proposition	proposition	NOUN
cana-1618	110	8	and	and	CCONJ
cana-1618	110	9	not	not	PART
cana-1618	110	10	handling	handle	VERB
cana-1618	110	11	0	0	NUM
cana-1618	110	12	reassembles	reassemble	NOUN
cana-1618	110	13	and	and	CCONJ
cana-1618	110	14	prints	print	VERB
cana-1618	110	15	the	the	DET
cana-1618	110	16	monstrous	monstrous	ADJ
cana-1618	110	17	show	show	NOUN
cana-1618	110	18	in	in	ADP
cana-1618	110	19	the	the	DET
cana-1618	110	20	wake	wake	NOUN
cana-1618	110	21	of	of	ADP
cana-1618	110	22	getting	get	VERB
cana-1618	110	23	the	the	DET
cana-1618	110	24	last	last	ADJ
cana-1618	110	25	evaluated	evaluated	ADJ
cana-1618	110	26	group	group	NOUN
cana-1618	110	27	from	from	ADP
cana-1618	110	28	each	each	DET
cana-1618	110	29	handling	handling	NOUN
cana-1618	110	30	;	;	PUNCT
cana-1618	110	31	beginning	begin	VERB
cana-1618	110	32	with	with	ADP
cana-1618	110	33	this	this	DET
cana-1618	110	34	cycle	cycle	NOUN
cana-1618	110	35	,	,	PUNCT
cana-1618	110	36	the	the	DET
cana-1618	110	37	processors	processor	NOUN
cana-1618	110	38	recognize	recognize	VERB
cana-1618	110	39	their	their	PRON
cana-1618	110	40	neighbors	neighbor	NOUN
cana-1618	110	41	.	.	PUNCT
cana-1618	111	1	to	to	PART
cana-1618	111	2	fulfill	fulfill	VERB
cana-1618	111	3	the	the	DET
cana-1618	111	4	breaking	break	VERB
cana-1618	111	5	point	point	NOUN
cana-1618	111	6	conditions	condition	NOUN
cana-1618	111	7	,	,	PUNCT
cana-1618	111	8	every	every	DET
cana-1618	111	9	processor	processor	NOUN
cana-1618	111	10	sends	send	VERB
cana-1618	111	11	the	the	DET
cana-1618	111	12	particular	particular	ADJ
cana-1618	111	13	lines	line	NOUN
cana-1618	111	14	or	or	CCONJ
cana-1618	111	15	sections	section	NOUN
cana-1618	111	16	to	to	ADP
cana-1618	111	17	its	its	PRON
cana-1618	111	18	neighbors	neighbor	NOUN
cana-1618	111	19	.	.	PUNCT
cana-1618	112	1	the	the	DET
cana-1618	112	2	processors	processor	NOUN
cana-1618	112	3	assess	assess	VERB
cana-1618	112	4	their	their	PRON
cana-1618	112	5	segments	segment	NOUN
cana-1618	112	6	as	as	ADP
cana-1618	112	7	before	before	ADV
cana-1618	112	8	;	;	PUNCT
cana-1618	112	9	processor	processor	NOUN
cana-1618	112	10	0	0	NUM
cana-1618	112	11	duplicates	duplicate	VERB
cana-1618	112	12	every	every	DET
cana-1618	112	13	processor	processor	NOUN
cana-1618	112	14	's	's	PART
cana-1618	112	15	part	part	NOUN
cana-1618	112	16	,	,	PUNCT
cana-1618	112	17	returns	return	VERB
cana-1618	112	18	the	the	DET
cana-1618	112	19	monstrous	monstrous	ADJ
cana-1618	112	20	group	group	NOUN
cana-1618	112	21	together	together	ADV
cana-1618	112	22	,	,	PUNCT
cana-1618	112	23	and	and	CCONJ
cana-1618	112	24	prints	print	NOUN
cana-1618	112	25	.	.	PUNCT
cana-1618	113	1	the	the	DET
cana-1618	113	2	emphasess	emphasess	ADJ
cana-1618	113	3	go	go	VERB
cana-1618	113	4	on	on	ADP
cana-1618	113	5	with	with	ADP
cana-1618	113	6	the	the	DET
cana-1618	113	7	processors	processor	NOUN
cana-1618	113	8	conveying	convey	VERB
cana-1618	113	9	among	among	ADP
cana-1618	113	10	themselves	themselves	PRON
cana-1618	113	11	4	4	NUM
cana-1618	113	12	.	.	X
cana-1618	113	13	partial	partial	ADJ
cana-1618	113	14	differential	differential	ADJ
cana-1618	113	15	equations	equation	NOUN
cana-1618	113	16	the	the	DET
cana-1618	113	17	wave	wave	NOUN
cana-1618	113	18	condition	condition	NOUN
cana-1618	113	19	in	in	ADP
cana-1618	113	20	one	one	NUM
cana-1618	113	21	dimension	dimension	NOUN
cana-1618	113	22	is	be	AUX
cana-1618	113	23	provided	provide	VERB
cana-1618	113	24	by	by	ADP
cana-1618	113	25	:	:	PUNCT
cana-1618	113	26	1	1	NUM
cana-1618	113	27	𝑐2	𝑐2	NOUN
cana-1618	113	28	∗	∗	NOUN
cana-1618	113	29	𝜕ψ	𝜕ψ	PROPN
cana-1618	113	30	𝜕𝑡2	𝜕𝑡2	NOUN
cana-1618	113	31	−	−	ADP
cana-1618	113	32	𝜕ψ	𝜕ψ	ADJ
cana-1618	113	33	𝜕𝑥2	𝜕𝑥2	NOUN
cana-1618	113	34	=	=	SYM
cana-1618	113	35	0	0	PUNCT
cana-1618	113	36	(	(	PUNCT
cana-1618	113	37	1	1	NUM
cana-1618	113	38	)	)	PUNCT
cana-1618	113	39	where	where	SCONJ
cana-1618	113	40	c.p	c.p	PROPN
cana-1618	113	41	=	=	PROPN
cana-1618	113	42	c.p	c.p	PROPN
cana-1618	113	43	(	(	PUNCT
cana-1618	113	44	x	x	PROPN
cana-1618	113	45	,	,	PUNCT
cana-1618	113	46	t	t	PROPN
cana-1618	113	47	)	)	PUNCT
cana-1618	113	48	,	,	PUNCT
cana-1618	113	49	x	x	X
cana-1618	113	50	=	=	PUNCT
cana-1618	113	51	position	position	NOUN
cana-1618	113	52	,	,	PUNCT
cana-1618	113	53	t	t	NOUN
cana-1618	113	54	=	=	PUNCT
cana-1618	113	55	time	time	NOUN
cana-1618	113	56	the	the	DET
cana-1618	113	57	limited	limited	ADJ
cana-1618	113	58	distinction	distinction	NOUN
cana-1618	113	59	condition	condition	NOUN
cana-1618	113	60	provides	provide	VERB
cana-1618	113	61	one	one	NUM
cana-1618	113	62	estimate	estimate	NOUN
cana-1618	113	63	of	of	ADP
cana-1618	113	64	this	this	DET
cana-1618	113	65	partial	partial	ADJ
cana-1618	113	66	differential	differential	NOUN
cana-1618	113	67	condition	condition	NOUN
cana-1618	113	68	.	.	PUNCT
cana-1618	114	1	:	:	PUNCT
cana-1618	114	2	ψ𝑖(𝑡	ψ𝑖(𝑡	PUNCT
cana-1618	114	3	+	+	CCONJ
cana-1618	114	4	δ𝑡	δ𝑡	X
cana-1618	114	5	)	)	PUNCT
cana-1618	114	6	=	=	SYM
cana-1618	114	7	2𝛹𝑖(𝑡	2𝛹𝑖(𝑡	NUM
cana-1618	114	8	)	)	PUNCT
cana-1618	115	1	−	−	PROPN
cana-1618	116	1	𝛹𝑖(𝑡	𝛹𝑖(𝑡	NOUN
cana-1618	116	2	−	−	ADP
cana-1618	116	3	𝛥𝑡	𝛥𝑡	NOUN
cana-1618	116	4	)	)	PUNCT
cana-1618	116	5	+	+	NUM
cana-1618	116	6	𝜏2[ψ𝑖−1(𝑡	𝜏2[ψ𝑖−1(𝑡	NOUN
cana-1618	116	7	)	)	PUNCT
cana-1618	116	8	+	+	NUM
cana-1618	116	9	2ψ𝑖(𝑡	2ψ𝑖(𝑡	NUM
cana-1618	116	10	)	)	PUNCT
cana-1618	117	1	+	+	NUM
cana-1618	117	2	ψ𝑖+1(𝑡	ψ𝑖+1(𝑡	NOUN
cana-1618	117	3	)	)	PUNCT
cana-1618	117	4	]	]	PUNCT
cana-1618	118	1	(	(	PUNCT
cana-1618	118	2	2	2	X
cana-1618	118	3	)	)	PUNCT
cana-1618	118	4	where	where	SCONJ
cana-1618	118	5	𝜏	𝜏	NOUN
cana-1618	118	6	=	=	SYM
cana-1618	118	7	𝑐δ𝑡	𝑐δ𝑡	NOUN
cana-1618	118	8	δ𝑥	δ𝑥	ADV
cana-1618	118	9	take	take	VERB
cana-1618	118	10	note	note	NOUN
cana-1618	118	11	of	of	ADP
cana-1618	118	12	the	the	DET
cana-1618	118	13	fact	fact	NOUN
cana-1618	118	14	that	that	SCONJ
cana-1618	118	15	this	this	DET
cana-1618	118	16	low	low	ADJ
cana-1618	118	17	contrast	contrast	NOUN
cana-1618	118	18	condition	condition	NOUN
cana-1618	118	19	in	in	ADP
cana-1618	118	20	particular	particular	ADJ
cana-1618	118	21	resembles	resemble	VERB
cana-1618	118	22	a	a	DET
cana-1618	118	23	collection	collection	NOUN
cana-1618	118	24	of	of	ADP
cana-1618	118	25	inherited	inherit	VERB
cana-1618	118	26	norms	norm	NOUN
cana-1618	118	27	similar	similar	ADJ
cana-1618	118	28	to	to	ADP
cana-1618	118	29	those	those	PRON
cana-1618	118	30	used	use	VERB
cana-1618	118	31	in	in	ADP
cana-1618	118	32	the	the	DET
cana-1618	118	33	round	round	NOUN
cana-1618	118	34	of	of	ADP
cana-1618	118	35	life	life	NOUN
cana-1618	118	36	.	.	PUNCT
cana-1618	119	1	given	give	VERB
cana-1618	119	2	the	the	DET
cana-1618	119	3	one	one	NUM
cana-1618	119	4	-	-	PUNCT
cana-1618	119	5	dimensional	dimensional	ADJ
cana-1618	119	6	nature	nature	NOUN
cana-1618	119	7	of	of	ADP
cana-1618	119	8	the	the	DET
cana-1618	119	9	scenario	scenario	NOUN
cana-1618	119	10	,	,	PUNCT
cana-1618	119	11	the	the	DET
cana-1618	119	12	arrangement	arrangement	NOUN
cana-1618	119	13	is	be	AUX
cana-1618	119	14	stored	store	VERB
cana-1618	119	15	as	as	ADP
cana-1618	119	16	a	a	DET
cana-1618	119	17	section	section	NOUN
cana-1618	119	18	of	of	ADP
cana-1618	119	19	numbers	number	NOUN
cana-1618	119	20	rather	rather	ADV
cana-1618	119	21	than	than	ADP
cana-1618	119	22	as	as	ADP
cana-1618	119	23	a	a	DET
cana-1618	119	24	two	two	NUM
cana-1618	119	25	-	-	PUNCT
cana-1618	119	26	dimensional	dimensional	ADJ
cana-1618	119	27	show	show	NOUN
cana-1618	119	28	.	.	PUNCT
cana-1618	120	1	each	each	DET
cana-1618	120	2	part	part	NOUN
cana-1618	120	3	of	of	ADP
cana-1618	120	4	the	the	DET
cana-1618	120	5	segment	segment	NOUN
cana-1618	120	6	deals	deal	NOUN
cana-1618	120	7	with	with	ADP
cana-1618	120	8	the	the	DET
cana-1618	120	9	value	value	NOUN
cana-1618	120	10	of	of	ADP
cana-1618	120	11	c.p	c.p	PROPN
cana-1618	120	12	at	at	ADP
cana-1618	120	13	some	some	DET
cana-1618	120	14	point	point	NOUN
cana-1618	120	15	in	in	ADP
cana-1618	120	16	time	time	NOUN
cana-1618	120	17	,	,	PUNCT
cana-1618	120	18	let	let	VERB
cana-1618	120	19	's	us	PRON
cana-1618	120	20	say	say	VERB
cana-1618	120	21	t.	t.	NOUN
cana-1618	120	22	the	the	DET
cana-1618	120	23	two	two	NUM
cana-1618	120	24	initial	initial	ADJ
cana-1618	120	25	phases	phase	NOUN
cana-1618	120	26	of	of	ADP
cana-1618	120	27	the	the	DET
cana-1618	120	28	evaluation	evaluation	NOUN
cana-1618	120	29	cycle	cycle	NOUN
cana-1618	120	30	are	be	AUX
cana-1618	120	31	distinguished	distinguish	VERB
cana-1618	120	32	by	by	ADP
cana-1618	120	33	the	the	DET
cana-1618	120	34	introductory	introductory	ADJ
cana-1618	120	35	conditions	condition	NOUN
cana-1618	120	36	provided	provide	VERB
cana-1618	120	37	.	.	PUNCT
cana-1618	121	1	(	(	PUNCT
cana-1618	121	2	the	the	DET
cana-1618	121	3	characteristics	characteristic	NOUN
cana-1618	121	4	for	for	ADP
cana-1618	121	5	c.p	c.p	PROPN
cana-1618	121	6	at	at	ADP
cana-1618	121	7	time	time	NOUN
cana-1618	121	8	0	0	NUM
cana-1618	121	9	and	and	CCONJ
cana-1618	121	10	time	time	NOUN
cana-1618	121	11	o+llt	o+llt	NUM
cana-1618	121	12	are	be	AUX
cana-1618	121	13	provided	provide	VERB
cana-1618	121	14	in	in	ADP
cana-1618	121	15	these	these	DET
cana-1618	121	16	two	two	NUM
cana-1618	121	17	opening	opening	NOUN
cana-1618	121	18	segments	segment	NOUN
cana-1618	121	19	.	.	PUNCT
cana-1618	121	20	)	)	PUNCT
cana-1618	122	1	the	the	DET
cana-1618	122	2	main	main	ADJ
cana-1618	122	3	segment	segment	NOUN
cana-1618	122	4	is	be	AUX
cana-1618	122	5	used	use	VERB
cana-1618	122	6	as	as	ADP
cana-1618	122	7	a	a	DET
cana-1618	122	8	final	final	ADJ
cana-1618	122	9	emphasis	emphasis	NOUN
cana-1618	122	10	correlation	correlation	NOUN
cana-1618	122	11	,	,	PUNCT
cana-1618	122	12	and	and	CCONJ
cana-1618	122	13	the	the	DET
cana-1618	122	14	limited	limited	ADJ
cana-1618	122	15	contrast	contrast	NOUN
cana-1618	122	16	condition	condition	NOUN
cana-1618	122	17	is	be	AUX
cana-1618	122	18	applied	apply	VERB
cana-1618	122	19	in	in	ADP
cana-1618	122	20	the	the	DET
cana-1618	122	21	following	follow	VERB
cana-1618	122	22	portion	portion	NOUN
cana-1618	122	23	.	.	PUNCT
cana-1618	123	1	these	these	DET
cana-1618	123	2	two	two	NUM
cana-1618	123	3	programme	programme	NOUN
cana-1618	123	4	segments	segment	NOUN
cana-1618	123	5	collaborate	collaborate	VERB
cana-1618	123	6	to	to	PART
cana-1618	123	7	determine	determine	VERB
cana-1618	123	8	the	the	DET
cana-1618	123	9	values	value	NOUN
cana-1618	123	10	for	for	ADP
cana-1618	123	11	c.p	c.p	PROPN
cana-1618	123	12	at	at	ADP
cana-1618	123	13	time	time	NOUN
cana-1618	123	14	2llr	2llr	NUM
cana-1618	123	15	.	.	PUNCT
cana-1618	124	1	a	a	DET
cana-1618	124	2	third	third	ADJ
cana-1618	124	3	section	section	NOUN
cana-1618	124	4	assigns	assign	VERB
cana-1618	124	5	scores	score	NOUN
cana-1618	124	6	to	to	ADP
cana-1618	124	7	these	these	DET
cana-1618	124	8	attributes	attribute	NOUN
cana-1618	124	9	.	.	PUNCT
cana-1618	125	1	the	the	DET
cana-1618	125	2	programme	programme	NOUN
cana-1618	125	3	repeats	repeat	VERB
cana-1618	125	4	the	the	DET
cana-1618	125	5	exchange	exchange	NOUN
cana-1618	125	6	after	after	ADP
cana-1618	125	7	concluding	conclude	VERB
cana-1618	125	8	the	the	DET
cana-1618	125	9	process	process	NOUN
cana-1618	125	10	of	of	ADP
cana-1618	125	11	determining	determine	VERB
cana-1618	125	12	the	the	DET
cana-1618	125	13	requirements	requirement	NOUN
cana-1618	125	14	for	for	ADP
cana-1618	125	15	the	the	DET
cana-1618	125	16	third	third	ADJ
cana-1618	125	17	segment	segment	NOUN
cana-1618	125	18	.	.	PUNCT
cana-1618	126	1	you	you	PRON
cana-1618	126	2	can	can	AUX
cana-1618	126	3	examine	examine	VERB
cana-1618	126	4	the	the	DET
cana-1618	126	5	limited	limited	ADJ
cana-1618	126	6	distinction	distinction	NOUN
cana-1618	126	7	condition	condition	NOUN
cana-1618	126	8	at	at	ADP
cana-1618	126	9	the	the	DET
cana-1618	126	10	relevant	relevant	ADJ
cana-1618	126	11	lines	line	NOUN
cana-1618	126	12	and	and	CCONJ
cana-1618	126	13	sections	section	NOUN
cana-1618	126	14	.	.	PUNCT
cana-1618	126	15	:	:	PUNCT
cana-1618	127	1	ψ[𝑖𝐼𝑛	ψ[𝑖𝐼𝑛	X
cana-1618	128	1	+	+	PUNCT
cana-1618	128	2	1	1	X
cana-1618	128	3	]	]	X
cana-1618	128	4	=	=	SYM
cana-1618	128	5	2ψ[𝑖𝐼𝑛	2ψ[𝑖𝐼𝑛	NUM
cana-1618	128	6	−	−	NOUN
cana-1618	128	7	1	1	NUM
cana-1618	128	8	]	]	PUNCT
cana-1618	128	9	+	+	CCONJ
cana-1618	128	10	𝜏2(ψ[𝑖	𝜏2(ψ[𝑖	NOUN
cana-1618	128	11	+	+	CCONJ
cana-1618	128	12	1𝐼𝑛	1𝐼𝑛	NUM
cana-1618	128	13	]	]	PUNCT
cana-1618	128	14	−	−	PROPN
cana-1618	128	15	2ψ[𝑖𝐼𝑛	2ψ[𝑖𝐼𝑛	NUM
cana-1618	128	16	]	]	X
cana-1618	128	17	+	+	CCONJ
cana-1618	128	18	ψ[𝑖	ψ[𝑖	NOUN
cana-1618	128	19	−	−	NOUN
cana-1618	128	20	1𝐼𝑛	1𝐼𝑛	NUM
cana-1618	128	21	]	]	PUNCT
cana-1618	128	22	)	)	PUNCT
cana-1618	128	23	(	(	PUNCT
cana-1618	128	24	3	3	X
cana-1618	128	25	)	)	PUNCT
cana-1618	128	26	in	in	ADP
cana-1618	128	27	essence	essence	NOUN
cana-1618	128	28	,	,	PUNCT
cana-1618	128	29	the	the	DET
cana-1618	128	30	programme	programme	NOUN
cana-1618	128	31	examines	examine	VERB
cana-1618	128	32	the	the	DET
cana-1618	128	33	characteristics	characteristic	NOUN
cana-1618	128	34	of	of	ADP
cana-1618	128	35	the	the	DET
cana-1618	128	36	section	section	NOUN
cana-1618	128	37	's	's	PART
cana-1618	128	38	neighbouring	neighbouring	NOUN
cana-1618	128	39	cells	cell	NOUN
cana-1618	128	40	as	as	ADV
cana-1618	128	41	well	well	ADV
cana-1618	128	42	as	as	ADP
cana-1618	128	43	the	the	DET
cana-1618	128	44	emphasis	emphasis	NOUN
cana-1618	128	45	from	from	ADP
cana-1618	128	46	the	the	DET
cana-1618	128	47	past	past	NOUN
cana-1618	128	48	and	and	CCONJ
cana-1618	128	49	present	present	ADJ
cana-1618	128	50	.	.	PUNCT
cana-1618	129	1	two	two	NUM
cana-1618	129	2	distinct	distinct	ADJ
cana-1618	129	3	approaches	approach	NOUN
cana-1618	129	4	were	be	AUX
cana-1618	129	5	used	use	VERB
cana-1618	129	6	to	to	PART
cana-1618	129	7	provide	provide	VERB
cana-1618	129	8	the	the	DET
cana-1618	129	9	wave	wave	NOUN
cana-1618	129	10	communications	communication	NOUN
cana-1618	129	11	on	on	ADP
cana-1618	129	12	applied	apply	VERB
cana-1618	129	13	nonlinear	nonlinear	ADJ
cana-1618	129	14	analysis	analysis	NOUN
cana-1618	129	15	issn	issn	NOUN
cana-1618	129	16	:	:	PUNCT
cana-1618	129	17	1074	1074	NUM
cana-1618	129	18	-	-	PUNCT
cana-1618	129	19	133x	133x	NUM
cana-1618	129	20	vol	vol	NOUN
cana-1618	129	21	32	32	NUM
cana-1618	129	22	no	no	NOUN
cana-1618	129	23	.	.	NOUN
cana-1618	129	24	1	1	NUM
cana-1618	129	25	(	(	PUNCT
cana-1618	129	26	2025	2025	NUM
cana-1618	129	27	)	)	PUNCT
cana-1618	129	28	29	29	NUM
cana-1618	129	29	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1618	129	30	condition	condition	NOUN
cana-1618	129	31	organisation	organisation	NOUN
cana-1618	129	32	methodology	methodology	NOUN
cana-1618	129	33	.	.	PUNCT
cana-1618	130	1	finding	find	VERB
cana-1618	130	2	a	a	DET
cana-1618	130	3	parallel	parallel	ADJ
cana-1618	130	4	calculation	calculation	NOUN
cana-1618	130	5	using	use	VERB
cana-1618	130	6	a	a	DET
cana-1618	130	7	sequential	sequential	ADJ
cana-1618	130	8	basis	basis	NOUN
cana-1618	130	9	was	be	AUX
cana-1618	130	10	the	the	DET
cana-1618	130	11	first	first	ADJ
cana-1618	130	12	step	step	NOUN
cana-1618	130	13	;	;	PUNCT
cana-1618	130	14	coming	come	VERB
cana-1618	130	15	up	up	ADP
cana-1618	130	16	with	with	ADP
cana-1618	130	17	a	a	DET
cana-1618	130	18	rigorously	rigorously	ADV
cana-1618	130	19	parallel	parallel	ADJ
cana-1618	130	20	calculation	calculation	NOUN
cana-1618	130	21	was	be	AUX
cana-1618	130	22	the	the	DET
cana-1618	130	23	second	second	ADJ
cana-1618	130	24	.	.	PUNCT
cana-1618	131	1	the	the	DET
cana-1618	131	2	parallel	parallel	ADJ
cana-1618	131	3	computation	computation	NOUN
cana-1618	131	4	for	for	ADP
cana-1618	131	5	the	the	DET
cana-1618	131	6	wave	wave	NOUN
cana-1618	131	7	condition	condition	NOUN
cana-1618	131	8	,	,	PUNCT
cana-1618	131	9	based	base	VERB
cana-1618	131	10	on	on	ADP
cana-1618	131	11	a	a	DET
cana-1618	131	12	consecutive	consecutive	ADJ
cana-1618	131	13	basis	basis	NOUN
cana-1618	131	14	,	,	PUNCT
cana-1618	131	15	is	be	AUX
cana-1618	131	16	as	as	SCONJ
cana-1618	131	17	follows	follow	VERB
cana-1618	131	18	:	:	PUNCT
cana-1618	131	19	processor	processor	NOUN
cana-1618	131	20	0	0	NUM
cana-1618	131	21	contains	contain	VERB
cana-1618	131	22	two	two	NUM
cana-1618	131	23	distinct	distinct	ADJ
cana-1618	131	24	portions	portion	NOUN
cana-1618	131	25	.	.	PUNCT
cana-1618	132	1	processor	processor	NOUN
cana-1618	132	2	0	0	NUM
cana-1618	132	3	supplies	supply	VERB
cana-1618	132	4	the	the	DET
cana-1618	132	5	basic	basic	ADJ
cana-1618	132	6	limit	limit	NOUN
cana-1618	132	7	numbers	number	NOUN
cana-1618	132	8	and	and	CCONJ
cana-1618	132	9	its	its	PRON
cana-1618	132	10	share	share	NOUN
cana-1618	132	11	of	of	ADP
cana-1618	132	12	the	the	DET
cana-1618	132	13	next	next	ADJ
cana-1618	132	14	section	section	NOUN
cana-1618	132	15	to	to	ADP
cana-1618	132	16	each	each	DET
cana-1618	132	17	processor	processor	NOUN
cana-1618	132	18	.	.	PUNCT
cana-1618	133	1	processor	processor	NOUN
cana-1618	133	2	0	0	NUM
cana-1618	133	3	gets	get	VERB
cana-1618	133	4	every	every	DET
cana-1618	133	5	processor	processor	NOUN
cana-1618	133	6	's	's	PART
cana-1618	133	7	piece	piece	NOUN
cana-1618	133	8	,	,	PUNCT
cana-1618	133	9	reassembles	reassemble	VERB
cana-1618	133	10	,	,	PUNCT
cana-1618	133	11	and	and	CCONJ
cana-1618	133	12	prints	print	NOUN
cana-1618	133	13	after	after	ADP
cana-1618	133	14	that	that	PRON
cana-1618	133	15	.	.	PUNCT
cana-1618	134	1	every	every	DET
cana-1618	134	2	processor	processor	NOUN
cana-1618	134	3	duplicates	duplicate	VERB
cana-1618	134	4	its	its	PRON
cana-1618	134	5	portion	portion	NOUN
cana-1618	134	6	into	into	ADP
cana-1618	134	7	a	a	DET
cana-1618	134	8	temporary	temporary	ADJ
cana-1618	134	9	cluster	cluster	NOUN
cana-1618	134	10	.	.	PUNCT
cana-1618	135	1	every	every	DET
cana-1618	135	2	processor	processor	NOUN
cana-1618	135	3	checks	check	VERB
cana-1618	135	4	out	out	ADP
cana-1618	135	5	at	at	ADP
cana-1618	135	6	its	its	PRON
cana-1618	135	7	portion	portion	NOUN
cana-1618	135	8	and	and	CCONJ
cana-1618	135	9	rolls	roll	VERB
cana-1618	135	10	out	out	ADP
cana-1618	135	11	the	the	DET
cana-1618	135	12	essential	essential	ADJ
cana-1618	135	13	enhancements	enhancement	NOUN
cana-1618	135	14	in	in	ADP
cana-1618	135	15	this	this	DET
cana-1618	135	16	temporary	temporary	ADJ
cana-1618	135	17	cluster	cluster	NOUN
cana-1618	135	18	.	.	PUNCT
cana-1618	136	1	emphasise	emphasise	VERB
cana-1618	136	2	the	the	DET
cana-1618	136	3	next	next	ADJ
cana-1618	136	4	step	step	NOUN
cana-1618	136	5	.	.	PUNCT
cana-1618	137	1	here	here	ADV
cana-1618	137	2	is	be	AUX
cana-1618	137	3	an	an	DET
cana-1618	137	4	algorithm	algorithm	NOUN
cana-1618	137	5	that	that	PRON
cana-1618	137	6	runs	run	VERB
cana-1618	137	7	in	in	ADP
cana-1618	137	8	strict	strict	ADJ
cana-1618	137	9	parallel	parallel	NOUN
cana-1618	137	10	.	.	PUNCT
cana-1618	137	11	:	:	PUNCT
cana-1618	138	1	processor	processor	NOUN
cana-1618	138	2	0	0	NUM
cana-1618	138	3	is	be	AUX
cana-1618	138	4	responsible	responsible	ADJ
cana-1618	138	5	for	for	ADP
cana-1618	138	6	maintaining	maintain	VERB
cana-1618	138	7	two	two	NUM
cana-1618	138	8	distinct	distinct	ADJ
cana-1618	138	9	sections	section	NOUN
cana-1618	138	10	.	.	PUNCT
cana-1618	139	1	it	it	PRON
cana-1618	139	2	additionally	additionally	ADV
cana-1618	139	3	supplies	supply	VERB
cana-1618	139	4	every	every	DET
cana-1618	139	5	processor	processor	NOUN
cana-1618	139	6	with	with	ADP
cana-1618	139	7	its	its	PRON
cana-1618	139	8	part	part	NOUN
cana-1618	139	9	of	of	ADP
cana-1618	139	10	the	the	DET
cana-1618	139	11	following	follow	VERB
cana-1618	139	12	area	area	NOUN
cana-1618	139	13	and	and	CCONJ
cana-1618	139	14	as	as	ADV
cana-1618	139	15	far	far	ADV
cana-1618	139	16	as	as	ADP
cana-1618	139	17	possible	possible	ADJ
cana-1618	139	18	numbers	number	NOUN
cana-1618	139	19	.	.	PUNCT
cana-1618	140	1	every	every	DET
cana-1618	140	2	processor	processor	NOUN
cana-1618	140	3	copies	copy	VERB
cana-1618	140	4	its	its	PRON
cana-1618	140	5	part	part	NOUN
cana-1618	140	6	into	into	ADP
cana-1618	140	7	a	a	DET
cana-1618	140	8	brief	brief	ADJ
cana-1618	140	9	bunch	bunch	NOUN
cana-1618	140	10	.	.	PUNCT
cana-1618	141	1	every	every	DET
cana-1618	141	2	processor	processor	NOUN
cana-1618	141	3	looks	look	VERB
cana-1618	141	4	at	at	ADP
cana-1618	141	5	its	its	PRON
cana-1618	141	6	part	part	NOUN
cana-1618	141	7	and	and	CCONJ
cana-1618	141	8	carries	carry	VERB
cana-1618	141	9	out	out	ADP
cana-1618	141	10	the	the	DET
cana-1618	141	11	huge	huge	ADJ
cana-1618	141	12	upgrades	upgrade	NOUN
cana-1618	141	13	in	in	ADP
cana-1618	141	14	this	this	DET
cana-1618	141	15	transient	transient	ADJ
cana-1618	141	16	show	show	NOUN
cana-1618	141	17	.	.	PUNCT
cana-1618	142	1	processor	processor	NOUN
cana-1618	142	2	0	0	NUM
cana-1618	142	3	gets	get	VERB
cana-1618	142	4	a	a	DET
cana-1618	142	5	copy	copy	NOUN
cana-1618	142	6	of	of	ADP
cana-1618	142	7	every	every	DET
cana-1618	142	8	processor	processor	NOUN
cana-1618	142	9	's	's	PART
cana-1618	142	10	part	part	NOUN
cana-1618	142	11	,	,	PUNCT
cana-1618	142	12	reassembles	reassemble	VERB
cana-1618	142	13	it	it	PRON
cana-1618	142	14	,	,	PUNCT
cana-1618	142	15	and	and	CCONJ
cana-1618	142	16	prints	print	NOUN
cana-1618	142	17	.	.	PUNCT
cana-1618	143	1	every	every	DET
cana-1618	143	2	processor	processor	NOUN
cana-1618	143	3	distinguishes	distinguish	VERB
cana-1618	143	4	its	its	PRON
cana-1618	143	5	neighbor	neighbor	NOUN
cana-1618	143	6	beginning	begin	VERB
cana-1618	143	7	with	with	ADP
cana-1618	143	8	this	this	DET
cana-1618	143	9	cycle	cycle	NOUN
cana-1618	143	10	.	.	PUNCT
cana-1618	144	1	every	every	DET
cana-1618	144	2	processor	processor	NOUN
cana-1618	144	3	sends	send	VERB
cana-1618	144	4	its	its	PRON
cana-1618	144	5	first	first	ADJ
cana-1618	144	6	and	and	CCONJ
cana-1618	144	7	last	last	ADJ
cana-1618	144	8	numbers	number	NOUN
cana-1618	144	9	to	to	ADP
cana-1618	144	10	its	its	PRON
cana-1618	144	11	adjacent	adjacent	ADJ
cana-1618	144	12	neighbors	neighbor	NOUN
cana-1618	144	13	,	,	PUNCT
cana-1618	144	14	separately	separately	ADV
cana-1618	144	15	.	.	PUNCT
cana-1618	145	1	every	every	DET
cana-1618	145	2	processor	processor	NOUN
cana-1618	145	3	assesses	assess	VERB
cana-1618	145	4	its	its	PRON
cana-1618	145	5	part	part	NOUN
cana-1618	145	6	as	as	SCONJ
cana-1618	145	7	it	it	PRON
cana-1618	145	8	did	do	VERB
cana-1618	145	9	already	already	ADV
cana-1618	145	10	.	.	PUNCT
cana-1618	146	1	processor	processor	NOUN
cana-1618	146	2	0	0	NUM
cana-1618	146	3	gets	get	VERB
cana-1618	146	4	a	a	DET
cana-1618	146	5	copy	copy	NOUN
cana-1618	146	6	again	again	ADV
cana-1618	146	7	to	to	PART
cana-1618	146	8	print	print	NOUN
cana-1618	146	9	.	.	PUNCT
cana-1618	147	1	the	the	DET
cana-1618	147	2	laplace	laplace	NOUN
cana-1618	147	3	's	's	PART
cana-1618	147	4	condition	condition	NOUN
cana-1618	147	5	in	in	ADP
cana-1618	147	6	two	two	NUM
cana-1618	147	7	dimensions	dimension	NOUN
cana-1618	147	8	is	be	AUX
cana-1618	147	9	given	give	VERB
cana-1618	147	10	by	by	ADP
cana-1618	147	11	:	:	PUNCT
cana-1618	147	12	∇2∅	∇2∅	NOUN
cana-1618	147	13	=	=	NUM
cana-1618	147	14	𝜕2∅	𝜕2∅	VERB
cana-1618	147	15	𝜕𝑥2	𝜕𝑥2	NOUN
cana-1618	147	16	+	+	CCONJ
cana-1618	147	17	𝜕2∅	𝜕2∅	VERB
cana-1618	147	18	𝜕𝑦2	𝜕𝑦2	ADJ
cana-1618	147	19	=	=	SYM
cana-1618	147	20	0	0	NUM
cana-1618	147	21	(	(	PUNCT
cana-1618	147	22	4	4	NUM
cana-1618	147	23	)	)	PUNCT
cana-1618	147	24	where	where	SCONJ
cana-1618	147	25	∅	∅	NOUN
cana-1618	147	26	=	=	SYM
cana-1618	147	27	∅(𝑥	∅(𝑥	PROPN
cana-1618	147	28	,	,	PUNCT
cana-1618	147	29	𝑦	𝑦	NOUN
cana-1618	147	30	)	)	PUNCT
cana-1618	147	31	for	for	ADP
cana-1618	147	32	the	the	DET
cana-1618	147	33	first	first	ADJ
cana-1618	147	34	jacobi	jacobi	PROPN
cana-1618	147	35	cycle	cycle	NOUN
cana-1618	147	36	of	of	ADP
cana-1618	147	37	the	the	DET
cana-1618	147	38	limited	limited	ADJ
cana-1618	147	39	distinction	distinction	NOUN
cana-1618	147	40	condition	condition	NOUN
cana-1618	147	41	,	,	PUNCT
cana-1618	147	42	the	the	DET
cana-1618	147	43	iterative	iterative	NOUN
cana-1618	147	44	approach	approach	NOUN
cana-1618	147	45	was	be	AUX
cana-1618	147	46	used	use	VERB
cana-1618	147	47	.	.	PUNCT
cana-1618	148	1	for	for	ADP
cana-1618	148	2	the	the	DET
cana-1618	148	3	next	next	ADJ
cana-1618	148	4	emphasis	emphasis	NOUN
cana-1618	148	5	,	,	PUNCT
cana-1618	148	6	the	the	DET
cana-1618	148	7	jacobi	jacobi	PROPN
cana-1618	148	8	update	update	NOUN
cana-1618	148	9	approach	approach	NOUN
cana-1618	148	10	is	be	AUX
cana-1618	148	11	composed	compose	VERB
cana-1618	148	12	as	as	ADP
cana-1618	148	13	:	:	PUNCT
cana-1618	148	14	∅𝑖	∅𝑖	NOUN
cana-1618	148	15	(	(	PUNCT
cana-1618	148	16	𝑘	𝑘	NOUN
cana-1618	148	17	)	)	PUNCT
cana-1618	148	18	=	=	SYM
cana-1618	148	19	1	1	NUM
cana-1618	148	20	4	4	NUM
cana-1618	148	21	[	[	PUNCT
cana-1618	148	22	∅(𝑖−𝑘	∅(𝑖−𝑘	NOUN
cana-1618	148	23	)	)	PUNCT
cana-1618	148	24	(	(	PUNCT
cana-1618	148	25	𝑘−1	𝑘−1	PROPN
cana-1618	148	26	+	+	NUM
cana-1618	148	27	∅(𝑖+𝑥	∅(𝑖+𝑥	PROPN
cana-1618	148	28	)	)	PUNCT
cana-1618	148	29	(	(	PUNCT
cana-1618	148	30	𝑘−1	𝑘−1	PROPN
cana-1618	148	31	)	)	PUNCT
cana-1618	149	1	+	+	NUM
cana-1618	149	2	∅(𝑖+𝑦	∅(𝑖+𝑦	NUM
cana-1618	149	3	)	)	PUNCT
cana-1618	149	4	(	(	PUNCT
cana-1618	149	5	𝑘−1	𝑘−1	PROPN
cana-1618	149	6	)	)	PUNCT
cana-1618	149	7	]	]	PUNCT
cana-1618	150	1	(	(	PUNCT
cana-1618	150	2	5	5	X
cana-1618	150	3	)	)	PUNCT
cana-1618	150	4	where	where	SCONJ
cana-1618	150	5	time	time	NOUN
cana-1618	150	6	is	be	AUX
cana-1618	150	7	addressed	address	VERB
cana-1618	150	8	by	by	ADP
cana-1618	150	9	the	the	DET
cana-1618	150	10	superscript	superscript	NOUN
cana-1618	150	11	and	and	CCONJ
cana-1618	150	12	position	position	NOUN
cana-1618	150	13	by	by	ADP
cana-1618	150	14	the	the	DET
cana-1618	150	15	addendum	addendum	PROPN
cana-1618	150	16	.	.	PUNCT
cana-1618	151	1	laplace	laplace	PROPN
cana-1618	151	2	's	's	PART
cana-1618	151	3	problem	problem	NOUN
cana-1618	151	4	has	have	VERB
cana-1618	151	5	a	a	DET
cana-1618	151	6	two	two	NUM
cana-1618	151	7	-	-	PUNCT
cana-1618	151	8	dimensional	dimensional	ADJ
cana-1618	151	9	solution	solution	NOUN
cana-1618	151	10	,	,	PUNCT
cana-1618	151	11	which	which	PRON
cana-1618	151	12	is	be	AUX
cana-1618	151	13	stored	store	VERB
cana-1618	151	14	as	as	ADP
cana-1618	151	15	a	a	DET
cana-1618	151	16	lattice	lattice	NOUN
cana-1618	151	17	.	.	PUNCT
cana-1618	152	1	according	accord	VERB
cana-1618	152	2	to	to	ADP
cana-1618	152	3	the	the	DET
cana-1618	152	4	specified	specify	VERB
cana-1618	152	5	limit	limit	NOUN
cana-1618	152	6	criteria	criterion	NOUN
cana-1618	152	7	,	,	PUNCT
cana-1618	152	8	a	a	DET
cana-1618	152	9	distinct	distinct	ADJ
cana-1618	152	10	lattice	lattice	NOUN
cana-1618	152	11	is	be	AUX
cana-1618	152	12	filled	fill	VERB
cana-1618	152	13	with	with	ADP
cana-1618	152	14	numbers	number	NOUN
cana-1618	152	15	before	before	SCONJ
cana-1618	152	16	any	any	DET
cana-1618	152	17	evaluation	evaluation	NOUN
cana-1618	152	18	rakes	rake	NOUN
cana-1618	152	19	are	be	AUX
cana-1618	152	20	placed	place	VERB
cana-1618	152	21	.	.	PUNCT
cana-1618	153	1	in	in	ADP
cana-1618	153	2	its	its	PRON
cana-1618	153	3	latter	latter	ADJ
cana-1618	153	4	opportunity	opportunity	NOUN
cana-1618	153	5	focus	focus	NOUN
cana-1618	153	6	,	,	PUNCT
cana-1618	153	7	each	each	DET
cana-1618	153	8	cell	cell	NOUN
cana-1618	153	9	's	's	PART
cana-1618	153	10	update	update	NOUN
cana-1618	153	11	is	be	AUX
cana-1618	153	12	essentially	essentially	ADV
cana-1618	153	13	the	the	DET
cana-1618	153	14	normal	normal	ADJ
cana-1618	153	15	of	of	ADP
cana-1618	153	16	its	its	PRON
cana-1618	153	17	four	four	NUM
cana-1618	153	18	symmetrical	symmetrical	ADJ
cana-1618	153	19	neighbours	neighbour	NOUN
cana-1618	153	20	.	.	PUNCT
cana-1618	154	1	initially	initially	ADV
cana-1618	154	2	,	,	PUNCT
cana-1618	154	3	in	in	ADP
cana-1618	154	4	order	order	NOUN
cana-1618	154	5	to	to	PART
cana-1618	154	6	track	track	VERB
cana-1618	154	7	the	the	DET
cana-1618	154	8	correspondences	correspondence	NOUN
cana-1618	154	9	among	among	ADP
cana-1618	154	10	neighbouring	neighbouring	ADJ
cana-1618	154	11	cells	cell	NOUN
cana-1618	154	12	,	,	PUNCT
cana-1618	154	13	the	the	DET
cana-1618	154	14	round	round	NOUN
cana-1618	154	15	of	of	ADP
cana-1618	154	16	life	life	NOUN
cana-1618	154	17	was	be	AUX
cana-1618	154	18	carried	carry	VERB
cana-1618	154	19	out	out	ADP
cana-1618	154	20	..	..	PUNCT
cana-1618	154	21	in	in	ADP
cana-1618	154	22	essence	essence	NOUN
cana-1618	154	23	,	,	PUNCT
cana-1618	154	24	the	the	DET
cana-1618	154	25	restricted	restricted	ADJ
cana-1618	154	26	contrast	contrast	NOUN
cana-1618	154	27	criterion	criterion	NOUN
cana-1618	154	28	for	for	ADP
cana-1618	154	29	laplace	laplace	NOUN
cana-1618	154	30	's	's	PART
cana-1618	154	31	scenario	scenario	NOUN
cana-1618	154	32	is	be	AUX
cana-1618	154	33	just	just	ADV
cana-1618	154	34	another	another	DET
cana-1618	154	35	configuration	configuration	NOUN
cana-1618	154	36	of	of	ADP
cana-1618	154	37	inherited	inherit	VERB
cana-1618	154	38	norms	norm	NOUN
cana-1618	154	39	for	for	ADP
cana-1618	154	40	the	the	DET
cana-1618	154	41	circle	circle	NOUN
cana-1618	154	42	of	of	ADP
cana-1618	154	43	life	life	NOUN
cana-1618	154	44	.	.	PUNCT
cana-1618	155	1	the	the	DET
cana-1618	155	2	programme	programme	NOUN
cana-1618	155	3	just	just	ADV
cana-1618	155	4	needs	need	VERB
cana-1618	155	5	to	to	PART
cana-1618	155	6	take	take	VERB
cana-1618	155	7	the	the	DET
cana-1618	155	8	average	average	NOUN
cana-1618	155	9	of	of	ADP
cana-1618	155	10	four	four	NUM
cana-1618	155	11	neighbours	neighbour	NOUN
cana-1618	155	12	for	for	ADP
cana-1618	155	13	the	the	DET
cana-1618	155	14	next	next	ADJ
cana-1618	155	15	cycle	cycle	NOUN
cana-1618	155	16	,	,	PUNCT
cana-1618	155	17	as	as	SCONJ
cana-1618	155	18	opposed	oppose	VERB
cana-1618	155	19	to	to	ADP
cana-1618	155	20	examining	examine	VERB
cana-1618	155	21	eight	eight	NUM
cana-1618	155	22	neighbours	neighbour	NOUN
cana-1618	155	23	.	.	PUNCT
cana-1618	156	1	the	the	DET
cana-1618	156	2	round	round	NOUN
cana-1618	156	3	of	of	ADP
cana-1618	156	4	life	life	NOUN
cana-1618	156	5	showed	show	VERB
cana-1618	156	6	how	how	SCONJ
cana-1618	156	7	the	the	DET
cana-1618	156	8	communications	communication	NOUN
cana-1618	156	9	on	on	ADP
cana-1618	156	10	applied	apply	VERB
cana-1618	156	11	nonlinear	nonlinear	ADJ
cana-1618	156	12	analysis	analysis	NOUN
cana-1618	156	13	issn	issn	NOUN
cana-1618	156	14	:	:	PUNCT
cana-1618	156	15	1074	1074	NUM
cana-1618	156	16	-	-	PUNCT
cana-1618	156	17	133x	133x	NUM
cana-1618	156	18	vol	vol	NOUN
cana-1618	156	19	32	32	NUM
cana-1618	156	20	no	no	NOUN
cana-1618	156	21	.	.	NOUN
cana-1618	156	22	1	1	NUM
cana-1618	156	23	(	(	PUNCT
cana-1618	156	24	2025	2025	NUM
cana-1618	156	25	)	)	PUNCT
cana-1618	156	26	30	30	NUM
cana-1618	156	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	156	28	processors	processor	NOUN
cana-1618	156	29	'	'	PART
cana-1618	156	30	correspondence	correspondence	NOUN
cana-1618	156	31	techniques	technique	NOUN
cana-1618	156	32	may	may	AUX
cana-1618	156	33	be	be	AUX
cana-1618	156	34	applied	apply	VERB
cana-1618	156	35	to	to	PART
cana-1618	156	36	solve	solve	VERB
cana-1618	156	37	two	two	NUM
cana-1618	156	38	-	-	PUNCT
cana-1618	156	39	dimensional	dimensional	ADJ
cana-1618	156	40	partial	partial	ADJ
cana-1618	156	41	differential	differential	NOUN
cana-1618	156	42	equations	equation	NOUN
cana-1618	156	43	.	.	PUNCT
cana-1618	157	1	5	5	X
cana-1618	157	2	.	.	X
cana-1618	157	3	parallel	parallel	ADJ
cana-1618	157	4	computing	compute	VERB
cana-1618	157	5	three	three	NUM
cana-1618	157	6	classifications	classification	NOUN
cana-1618	157	7	can	can	AUX
cana-1618	157	8	be	be	AUX
cana-1618	157	9	used	use	VERB
cana-1618	157	10	to	to	PART
cana-1618	157	11	group	group	VERB
cana-1618	157	12	the	the	DET
cana-1618	157	13	parallel	parallel	ADJ
cana-1618	157	14	pc	pc	NOUN
cana-1618	157	15	design	design	NOUN
cana-1618	157	16	:	:	PUNCT
cana-1618	157	17	flynn	flynn	PROPN
cana-1618	157	18	's	's	PART
cana-1618	157	19	scientific	scientific	ADJ
cana-1618	157	20	classification	classification	NOUN
cana-1618	157	21	,	,	PUNCT
cana-1618	157	22	quinn	quinn	NOUN
cana-1618	157	23	arrangement	arrangement	NOUN
cana-1618	157	24	,	,	PUNCT
cana-1618	157	25	and	and	CCONJ
cana-1618	157	26	cheong	cheong	PROPN
cana-1618	157	27	characterization	characterization	NOUN
cana-1618	157	28	.	.	PUNCT
cana-1618	158	1	since	since	SCONJ
cana-1618	158	2	the	the	DET
cana-1618	158	3	pvm	pvm	NOUN
cana-1618	158	4	structure	structure	NOUN
cana-1618	158	5	sticks	stick	NOUN
cana-1618	158	6	to	to	ADP
cana-1618	158	7	the	the	DET
cana-1618	158	8	common	common	ADJ
cana-1618	158	9	memory	memory	NOUN
cana-1618	158	10	,	,	PUNCT
cana-1618	158	11	cream	cream	NOUN
cana-1618	158	12	,	,	PUNCT
cana-1618	158	13	and	and	CCONJ
cana-1618	158	14	message	message	NOUN
cana-1618	158	15	passing	pass	VERB
cana-1618	158	16	necessities	necessity	NOUN
cana-1618	158	17	,	,	PUNCT
cana-1618	158	18	applications	application	NOUN
cana-1618	158	19	can	can	AUX
cana-1618	158	20	pick	pick	VERB
cana-1618	158	21	the	the	DET
cana-1618	158	22	best	good	ADJ
cana-1618	158	23	figuring	figuring	ADJ
cana-1618	158	24	model	model	NOUN
cana-1618	158	25	for	for	ADP
cana-1618	158	26	either	either	CCONJ
cana-1618	158	27	the	the	DET
cana-1618	158	28	whole	whole	ADJ
cana-1618	158	29	program	program	NOUN
cana-1618	158	30	or	or	CCONJ
cana-1618	158	31	certain	certain	ADJ
cana-1618	158	32	sub	sub	NOUN
cana-1618	158	33	-	-	NOUN
cana-1618	158	34	computations	computation	NOUN
cana-1618	158	35	.	.	PUNCT
cana-1618	159	1	scalar	scalar	ADJ
cana-1618	159	2	machines	machine	NOUN
cana-1618	159	3	,	,	PUNCT
cana-1618	159	4	conveyed	convey	VERB
cana-1618	159	5	and	and	CCONJ
cana-1618	159	6	shared	share	VERB
cana-1618	159	7	-	-	PUNCT
cana-1618	159	8	memory	memory	NOUN
cana-1618	159	9	multiprocessors	multiprocessor	NOUN
cana-1618	159	10	,	,	PUNCT
cana-1618	159	11	vector	vector	NOUN
cana-1618	159	12	supercomputers	supercomputer	NOUN
cana-1618	159	13	,	,	PUNCT
cana-1618	159	14	and	and	CCONJ
cana-1618	159	15	engines	engine	NOUN
cana-1618	159	16	with	with	ADP
cana-1618	159	17	unique	unique	ADJ
cana-1618	159	18	reason	reason	NOUN
cana-1618	159	19	plans	plan	NOUN
cana-1618	159	20	were	be	AUX
cana-1618	159	21	among	among	ADP
cana-1618	159	22	the	the	DET
cana-1618	159	23	parts	part	NOUN
cana-1618	159	24	taken	take	VERB
cana-1618	159	25	care	care	NOUN
cana-1618	159	26	of	of	ADP
cana-1618	159	27	,	,	PUNCT
cana-1618	159	28	empowering	empower	VERB
cana-1618	159	29	the	the	DET
cana-1618	159	30	utilization	utilization	NOUN
cana-1618	159	31	of	of	ADP
cana-1618	159	32	the	the	DET
cana-1618	159	33	best	well	ADV
cana-1618	159	34	figuring	figuring	ADJ
cana-1618	159	35	resource	resource	NOUN
cana-1618	159	36	for	for	ADP
cana-1618	159	37	each	each	DET
cana-1618	159	38	fragment	fragment	NOUN
cana-1618	159	39	of	of	ADP
cana-1618	159	40	an	an	DET
cana-1618	159	41	application	application	NOUN
cana-1618	159	42	.	.	PUNCT
cana-1618	160	1	a	a	DET
cana-1618	160	2	few	few	ADJ
cana-1618	160	3	large	large	ADJ
cana-1618	160	4	and	and	CCONJ
cana-1618	160	5	intricate	intricate	ADJ
cana-1618	160	6	applications	application	NOUN
cana-1618	160	7	,	,	PUNCT
cana-1618	160	8	such	such	ADJ
cana-1618	160	9	as	as	ADP
cana-1618	160	10	global	global	ADJ
cana-1618	160	11	ecological	ecological	ADJ
cana-1618	160	12	demonstration	demonstration	NOUN
cana-1618	160	13	,	,	PUNCT
cana-1618	160	14	liquid	liquid	ADJ
cana-1618	160	15	element	element	NOUN
cana-1618	160	16	reenactments	reenactment	NOUN
cana-1618	160	17	,	,	PUNCT
cana-1618	160	18	and	and	CCONJ
cana-1618	160	19	climate	climate	NOUN
cana-1618	160	20	expectation	expectation	NOUN
cana-1618	160	21	applications	application	NOUN
cana-1618	160	22	,	,	PUNCT
cana-1618	160	23	depend	depend	VERB
cana-1618	160	24	on	on	ADP
cana-1618	160	25	this	this	DET
cana-1618	160	26	adaptability	adaptability	NOUN
cana-1618	160	27	.	.	PUNCT
cana-1618	161	1	the	the	DET
cana-1618	161	2	pvm	pvm	NOUN
cana-1618	161	3	framework	framework	NOUN
cana-1618	161	4	operates	operate	VERB
cana-1618	161	5	on	on	ADP
cana-1618	161	6	an	an	DET
cana-1618	161	7	equipment	equipment	NOUN
cana-1618	161	8	base	base	NOUN
cana-1618	161	9	made	make	VERB
cana-1618	161	10	up	up	ADP
cana-1618	161	11	of	of	ADP
cana-1618	161	12	different	different	ADJ
cana-1618	161	13	machine	machine	NOUN
cana-1618	161	14	designs	design	NOUN
cana-1618	161	15	,	,	PUNCT
cana-1618	161	16	such	such	ADJ
cana-1618	161	17	as	as	ADP
cana-1618	161	18	vector	vector	NOUN
cana-1618	161	19	machines	machine	NOUN
cana-1618	161	20	,	,	PUNCT
cana-1618	161	21	multiprocessors	multiprocessor	NOUN
cana-1618	161	22	,	,	PUNCT
cana-1618	161	23	and	and	CCONJ
cana-1618	161	24	single	single	ADJ
cana-1618	161	25	computer	computer	NOUN
cana-1618	161	26	processor	processor	NOUN
cana-1618	161	27	frameworks	framework	NOUN
cana-1618	161	28	.	.	PUNCT
cana-1618	162	1	at	at	ADV
cana-1618	162	2	least	least	ADV
cana-1618	162	3	one	one	NUM
cana-1618	162	4	network	network	NOUN
cana-1618	162	5	,	,	PUNCT
cana-1618	162	6	which	which	PRON
cana-1618	162	7	may	may	AUX
cana-1618	162	8	differ	differ	VERB
cana-1618	162	9	from	from	ADP
cana-1618	162	10	one	one	NUM
cana-1618	162	11	another	another	DET
cana-1618	162	12	,	,	PUNCT
cana-1618	162	13	connects	connect	VERB
cana-1618	162	14	this	this	DET
cana-1618	162	15	processing	processing	NOUN
cana-1618	162	16	component	component	NOUN
cana-1618	162	17	.	.	PUNCT
cana-1618	163	1	for	for	ADP
cana-1618	163	2	example	example	NOUN
cana-1618	163	3	,	,	PUNCT
cana-1618	163	4	a	a	DET
cana-1618	163	5	pvm	pvm	NOUN
cana-1618	163	6	execution	execution	NOUN
cana-1618	163	7	may	may	AUX
cana-1618	163	8	operate	operate	VERB
cana-1618	163	9	over	over	ADP
cana-1618	163	10	an	an	DET
cana-1618	163	11	ethernet	ethernet	NOUN
cana-1618	163	12	,	,	PUNCT
cana-1618	163	13	web	web	NOUN
cana-1618	163	14	,	,	PUNCT
cana-1618	163	15	or	or	CCONJ
cana-1618	163	16	fibre	fibre	NOUN
cana-1618	163	17	optic	optic	NOUN
cana-1618	163	18	network	network	NOUN
cana-1618	163	19	.	.	PUNCT
cana-1618	164	1	pvm	pvm	NOUN
cana-1618	164	2	codes	code	NOUN
cana-1618	164	3	can	can	AUX
cana-1618	164	4	be	be	AUX
cana-1618	164	5	written	write	VERB
cana-1618	164	6	in	in	ADP
cana-1618	164	7	the	the	DET
cana-1618	164	8	dialects	dialect	NOUN
cana-1618	164	9	of	of	ADP
cana-1618	164	10	c	c	NOUN
cana-1618	164	11	,	,	PUNCT
cana-1618	164	12	c++	c++	NOUN
cana-1618	164	13	,	,	PUNCT
cana-1618	164	14	and	and	CCONJ
cana-1618	164	15	fortran	fortran	NOUN
cana-1618	164	16	.	.	PUNCT
cana-1618	165	1	unix	unix	PROPN
cana-1618	165	2	dialects	dialect	NOUN
cana-1618	165	3	are	be	AUX
cana-1618	165	4	used	use	VERB
cana-1618	165	5	as	as	ADP
cana-1618	165	6	a	a	DET
cana-1618	165	7	working	work	VERB
cana-1618	165	8	framework	framework	NOUN
cana-1618	165	9	to	to	PART
cana-1618	165	10	do	do	VERB
cana-1618	165	11	this	this	DET
cana-1618	165	12	assignment	assignment	NOUN
cana-1618	165	13	.	.	PUNCT
cana-1618	166	1	commonly	commonly	ADV
cana-1618	166	2	,	,	PUNCT
cana-1618	166	3	a	a	DET
cana-1618	166	4	client	client	NOUN
cana-1618	166	5	begins	begin	VERB
cana-1618	166	6	one	one	NUM
cana-1618	166	7	copy	copy	NOUN
cana-1618	166	8	on	on	ADP
cana-1618	166	9	one	one	NUM
cana-1618	166	10	errand	errand	NOUN
cana-1618	166	11	from	from	ADP
cana-1618	166	12	a	a	DET
cana-1618	166	13	pc	pc	NOUN
cana-1618	166	14	in	in	ADP
cana-1618	166	15	the	the	DET
cana-1618	166	16	host	host	NOUN
cana-1618	166	17	pool	pool	NOUN
cana-1618	166	18	to	to	PART
cana-1618	166	19	execute	execute	VERB
cana-1618	166	20	an	an	DET
cana-1618	166	21	application	application	NOUN
cana-1618	166	22	.	.	PUNCT
cana-1618	167	1	in	in	ADP
cana-1618	167	2	pvm	pvm	NOUN
cana-1618	167	3	,	,	PUNCT
cana-1618	167	4	task	task	NOUN
cana-1618	167	5	-	-	PUNCT
cana-1618	167	6	to	to	ADP
cana-1618	167	7	-	-	PUNCT
cana-1618	167	8	task	task	NOUN
cana-1618	167	9	correspondence	correspondence	NOUN
cana-1618	167	10	is	be	AUX
cana-1618	167	11	finished	finish	VERB
cana-1618	167	12	through	through	ADP
cana-1618	167	13	message	message	NOUN
cana-1618	167	14	passing	passing	NOUN
cana-1618	167	15	.	.	PUNCT
cana-1618	168	1	message	message	NOUN
cana-1618	168	2	passing	pass	VERB
cana-1618	168	3	is	be	AUX
cana-1618	168	4	an	an	DET
cana-1618	168	5	assortment	assortment	NOUN
cana-1618	168	6	of	of	ADP
cana-1618	168	7	undertakings	undertaking	NOUN
cana-1618	168	8	that	that	PRON
cana-1618	168	9	figure	figure	VERB
cana-1618	168	10	utilizing	utilize	VERB
cana-1618	168	11	their	their	PRON
cana-1618	168	12	own	own	ADJ
cana-1618	168	13	neighborhood	neighborhood	NOUN
cana-1618	168	14	memory	memory	NOUN
cana-1618	168	15	.	.	PUNCT
cana-1618	169	1	different	different	ADJ
cana-1618	169	2	tasks	task	NOUN
cana-1618	169	3	can	can	AUX
cana-1618	169	4	run	run	VERB
cana-1618	169	5	on	on	ADP
cana-1618	169	6	comparable	comparable	ADJ
cana-1618	169	7	real	real	ADJ
cana-1618	169	8	computers	computer	NOUN
cana-1618	169	9	or	or	CCONJ
cana-1618	169	10	over	over	ADP
cana-1618	169	11	a	a	DET
cana-1618	169	12	variable	variable	ADJ
cana-1618	169	13	number	number	NOUN
cana-1618	169	14	of	of	ADP
cana-1618	169	15	machines	machine	NOUN
cana-1618	169	16	.	.	PUNCT
cana-1618	170	1	businesses	business	NOUN
cana-1618	170	2	exchange	exchange	VERB
cana-1618	170	3	information	information	NOUN
cana-1618	170	4	by	by	ADP
cana-1618	170	5	sending	send	VERB
cana-1618	170	6	and	and	CCONJ
cana-1618	170	7	receiving	receive	VERB
cana-1618	170	8	messages	message	NOUN
cana-1618	170	9	via	via	ADP
cana-1618	170	10	correspondence	correspondence	NOUN
cana-1618	170	11	.	.	PUNCT
cana-1618	171	1	information	information	NOUN
cana-1618	171	2	flow	flow	NOUN
cana-1618	171	3	often	often	ADV
cana-1618	171	4	necessitates	necessitate	VERB
cana-1618	171	5	each	each	DET
cana-1618	171	6	encounter	encounter	NOUN
cana-1618	171	7	to	to	PART
cana-1618	171	8	complete	complete	VERB
cana-1618	171	9	beneficial	beneficial	ADJ
cana-1618	171	10	objectives	objective	NOUN
cana-1618	171	11	.	.	PUNCT
cana-1618	172	1	for	for	ADP
cana-1618	172	2	example	example	NOUN
cana-1618	172	3	,	,	PUNCT
cana-1618	172	4	a	a	DET
cana-1618	172	5	send	send	NOUN
cana-1618	172	6	action	action	NOUN
cana-1618	172	7	ought	ought	AUX
cana-1618	172	8	to	to	PART
cana-1618	172	9	correspond	correspond	VERB
cana-1618	172	10	with	with	ADP
cana-1618	172	11	a	a	DET
cana-1618	172	12	corresponding	correspond	VERB
cana-1618	172	13	get	get	NOUN
cana-1618	172	14	action	action	NOUN
cana-1618	172	15	.	.	PUNCT
cana-1618	173	1	6	6	NUM
cana-1618	173	2	.	.	X
cana-1618	173	3	practical	practical	ADJ
cana-1618	173	4	computing	computing	NOUN
cana-1618	173	5	to	to	PART
cana-1618	173	6	resolve	resolve	VERB
cana-1618	173	7	pde	pde	PROPN
cana-1618	173	8	numerical	numerical	ADJ
cana-1618	173	9	methods	method	NOUN
cana-1618	173	10	we	we	PRON
cana-1618	173	11	encountered	encounter	VERB
cana-1618	173	12	problems	problem	NOUN
cana-1618	173	13	with	with	ADP
cana-1618	173	14	massive	massive	ADJ
cana-1618	173	15	specialised	specialised	ADJ
cana-1618	173	16	concerns	concern	NOUN
cana-1618	173	17	,	,	PUNCT
cana-1618	173	18	such	such	ADJ
cana-1618	173	19	as	as	ADP
cana-1618	173	20	lengthy	lengthy	ADJ
cana-1618	173	21	cycle	cycle	NOUN
cana-1618	173	22	calculation	calculation	NOUN
cana-1618	173	23	times	time	NOUN
cana-1618	173	24	,	,	PUNCT
cana-1618	173	25	computationally	computationally	ADV
cana-1618	173	26	challenging	challenging	ADJ
cana-1618	173	27	code	code	NOUN
cana-1618	173	28	,	,	PUNCT
cana-1618	173	29	or	or	CCONJ
cana-1618	173	30	extensive	extensive	ADJ
cana-1618	173	31	data	datum	NOUN
cana-1618	173	32	collecting	collect	VERB
cana-1618	173	33	in	in	ADP
cana-1618	173	34	the	the	DET
cana-1618	173	35	usage	usage	NOUN
cana-1618	173	36	arrangement	arrangement	NOUN
cana-1618	173	37	for	for	ADP
cana-1618	173	38	which	which	PRON
cana-1618	173	39	we	we	PRON
cana-1618	173	40	are	be	AUX
cana-1618	173	41	writing	write	VERB
cana-1618	173	42	the	the	DET
cana-1618	173	43	code	code	NOUN
cana-1618	173	44	.	.	PUNCT
cana-1618	174	1	numerous	numerous	ADJ
cana-1618	174	2	problems	problem	NOUN
cana-1618	174	3	force	force	VERB
cana-1618	174	4	the	the	DET
cana-1618	174	5	cycle	cycle	NOUN
cana-1618	174	6	to	to	PART
cana-1618	174	7	accelerate	accelerate	VERB
cana-1618	174	8	and	and	CCONJ
cana-1618	174	9	reduce	reduce	VERB
cana-1618	174	10	performance	performance	NOUN
cana-1618	174	11	.	.	PUNCT
cana-1618	175	1	the	the	DET
cana-1618	175	2	best	good	ADJ
cana-1618	175	3	way	way	NOUN
cana-1618	175	4	to	to	PART
cana-1618	175	5	handle	handle	VERB
cana-1618	175	6	this	this	DET
cana-1618	175	7	problem	problem	NOUN
cana-1618	175	8	is	be	AUX
cana-1618	175	9	to	to	PART
cana-1618	175	10	use	use	VERB
cana-1618	175	11	parallel	parallel	ADJ
cana-1618	175	12	processing	processing	NOUN
cana-1618	175	13	.	.	PUNCT
cana-1618	176	1	a	a	DET
cana-1618	176	2	graphics	graphic	NOUN
cana-1618	176	3	processing	processing	NOUN
cana-1618	176	4	unit	unit	NOUN
cana-1618	176	5	(	(	PUNCT
cana-1618	176	6	gpu	gpu	PROPN
cana-1618	176	7	)	)	PUNCT
cana-1618	176	8	is	be	AUX
cana-1618	176	9	used	use	VERB
cana-1618	176	10	for	for	ADP
cana-1618	176	11	widely	widely	ADV
cana-1618	176	12	applicable	applicable	ADJ
cana-1618	176	13	parallel	parallel	ADJ
cana-1618	176	14	handling	handling	NOUN
cana-1618	176	15	applications	application	NOUN
cana-1618	176	16	in	in	ADP
cana-1618	176	17	universally	universally	ADV
cana-1618	176	18	usable	usable	ADJ
cana-1618	176	19	computation	computation	NOUN
cana-1618	176	20	on	on	ADP
cana-1618	176	21	gpus	gpus	PROPN
cana-1618	176	22	(	(	PUNCT
cana-1618	176	23	gpgpu	gpgpu	PROPN
cana-1618	176	24	)	)	PUNCT
cana-1618	176	25	.	.	PUNCT
cana-1618	177	1	the	the	DET
cana-1618	177	2	primary	primary	ADJ
cana-1618	177	3	safeguards	safeguard	NOUN
cana-1618	177	4	against	against	ADP
cana-1618	177	5	parallel	parallel	ADJ
cana-1618	177	6	processing	processing	NOUN
cana-1618	177	7	are	be	AUX
cana-1618	177	8	the	the	DET
cana-1618	177	9	absence	absence	NOUN
cana-1618	177	10	of	of	ADP
cana-1618	177	11	requirements	requirement	NOUN
cana-1618	177	12	or	or	CCONJ
cana-1618	177	13	correspondences	correspondence	NOUN
cana-1618	177	14	between	between	ADP
cana-1618	177	15	assignments	assignment	NOUN
cana-1618	177	16	.	.	PUNCT
cana-1618	178	1	one	one	NUM
cana-1618	178	2	of	of	ADP
cana-1618	178	3	the	the	DET
cana-1618	178	4	main	main	ADJ
cana-1618	178	5	concerns	concern	NOUN
cana-1618	178	6	with	with	ADP
cana-1618	178	7	gpu	gpu	PROPN
cana-1618	178	8	code	code	NOUN
cana-1618	178	9	is	be	AUX
cana-1618	178	10	vectorization	vectorization	NOUN
cana-1618	178	11	.	.	PUNCT
cana-1618	179	1	the	the	DET
cana-1618	179	2	majority	majority	NOUN
cana-1618	179	3	of	of	ADP
cana-1618	179	4	gpu	gpu	PROPN
cana-1618	179	5	operations	operation	NOUN
cana-1618	179	6	operate	operate	VERB
cana-1618	179	7	in	in	ADP
cana-1618	179	8	a	a	DET
cana-1618	179	9	vectorized	vectorize	VERB
cana-1618	179	10	manner	manner	NOUN
cana-1618	179	11	,	,	PUNCT
cana-1618	179	12	allowing	allow	VERB
cana-1618	179	13	an	an	DET
cana-1618	179	14	activity	activity	NOUN
cana-1618	179	15	to	to	PART
cana-1618	179	16	be	be	AUX
cana-1618	179	17	executed	execute	VERB
cana-1618	179	18	on	on	ADP
cana-1618	179	19	up	up	ADP
cana-1618	179	20	to	to	PART
cana-1618	179	21	four	four	NUM
cana-1618	179	22	qualities	quality	NOUN
cana-1618	179	23	simultaneously	simultaneously	ADV
cana-1618	179	24	.	.	PUNCT
cana-1618	180	1	given	give	VERB
cana-1618	180	2	that	that	SCONJ
cana-1618	180	3	almost	almost	ADV
cana-1618	180	4	all	all	PRON
cana-1618	180	5	basic	basic	ADJ
cana-1618	180	6	information	information	NOUN
cana-1618	180	7	is	be	AUX
cana-1618	180	8	a	a	DET
cana-1618	180	9	vector	vector	NOUN
cana-1618	180	10	(	(	PUNCT
cana-1618	180	11	either	either	CCONJ
cana-1618	180	12	two-	two-	ADV
cana-1618	180	13	,	,	PUNCT
cana-1618	180	14	three	three	NUM
cana-1618	180	15	,	,	PUNCT
cana-1618	180	16	or	or	CCONJ
cana-1618	180	17	four	four	NUM
cana-1618	180	18	-	-	PUNCT
cana-1618	180	19	dimensional	dimensional	ADJ
cana-1618	180	20	)	)	PUNCT
cana-1618	180	21	,	,	PUNCT
cana-1618	180	22	the	the	DET
cana-1618	180	23	value	value	NOUN
cana-1618	180	24	of	of	ADP
cana-1618	180	25	generating	generate	VERB
cana-1618	180	26	yield	yield	NOUN
cana-1618	180	27	from	from	ADP
cana-1618	180	28	two	two	NUM
cana-1618	180	29	distinct	distinct	ADJ
cana-1618	180	30	free	free	ADJ
cana-1618	180	31	information	information	NOUN
cana-1618	180	32	sources	source	NOUN
cana-1618	180	33	is	be	AUX
cana-1618	180	34	significant	significant	ADJ
cana-1618	180	35	in	in	ADP
cana-1618	180	36	scenarios	scenario	NOUN
cana-1618	180	37	.	.	PUNCT
cana-1618	181	1	data	datum	NOUN
cana-1618	181	2	will	will	AUX
cana-1618	181	3	be	be	AUX
cana-1618	181	4	transported	transport	VERB
cana-1618	181	5	from	from	ADP
cana-1618	181	6	matlab	matlab	PROPN
cana-1618	181	7	's	's	PART
cana-1618	181	8	work	work	NOUN
cana-1618	181	9	area	area	NOUN
cana-1618	181	10	to	to	ADP
cana-1618	181	11	gpu	gpu	VERB
cana-1618	181	12	gadget	gadget	NOUN
cana-1618	181	13	memory	memory	NOUN
cana-1618	181	14	at	at	ADP
cana-1618	181	15	the	the	DET
cana-1618	181	16	moment	moment	NOUN
cana-1618	181	17	when	when	SCONJ
cana-1618	181	18	matlab	matlab	PROPN
cana-1618	181	19	's	's	PART
cana-1618	181	20	gpu	gpu	NOUN
cana-1618	181	21	-	-	PUNCT
cana-1618	181	22	enabled	enable	VERB
cana-1618	181	23	capabilities	capability	NOUN
cana-1618	181	24	are	be	AUX
cana-1618	181	25	implemented	implement	VERB
cana-1618	181	26	on	on	ADP
cana-1618	181	27	the	the	DET
cana-1618	181	28	gpu	gpu	PROPN
cana-1618	181	29	.	.	PUNCT
cana-1618	182	1	a	a	DET
cana-1618	182	2	specific	specific	ADJ
cana-1618	182	3	cluster	cluster	NOUN
cana-1618	182	4	type	type	NOUN
cana-1618	182	5	is	be	AUX
cana-1618	182	6	assigned	assign	VERB
cana-1618	182	7	by	by	ADP
cana-1618	182	8	the	the	DET
cana-1618	182	9	order	order	NOUN
cana-1618	182	10	"	"	PUNCT
cana-1618	182	11	gpuarray	gpuarray	NOUN
cana-1618	182	12	"	"	PUNCT
cana-1618	182	13	to	to	ADP
cana-1618	182	14	such	such	ADJ
cana-1618	182	15	information	information	NOUN
cana-1618	182	16	,	,	PUNCT
cana-1618	182	17	at	at	ADP
cana-1618	182	18	which	which	DET
cana-1618	182	19	time	time	NOUN
cana-1618	182	20	gpu	gpu	VERB
cana-1618	182	21	-	-	PUNCT
cana-1618	182	22	enabled	enable	VERB
cana-1618	182	23	capabilities	capability	NOUN
cana-1618	182	24	can	can	AUX
cana-1618	182	25	operate	operate	VERB
cana-1618	182	26	on	on	ADP
cana-1618	182	27	it	it	PRON
cana-1618	182	28	.	.	PUNCT
cana-1618	183	1	the	the	DET
cana-1618	183	2	"	"	PUNCT
cana-1618	183	3	gather	gather	NOUN
cana-1618	183	4	"	"	PUNCT
cana-1618	183	5	order	order	NOUN
cana-1618	183	6	returns	return	VERB
cana-1618	183	7	the	the	DET
cana-1618	183	8	determined	determined	ADJ
cana-1618	183	9	results	result	NOUN
cana-1618	183	10	to	to	ADP
cana-1618	183	11	matlab	matlab	PROPN
cana-1618	183	12	's	's	PART
cana-1618	183	13	work	work	NOUN
cana-1618	183	14	area	area	NOUN
cana-1618	183	15	once	once	SCONJ
cana-1618	183	16	they	they	PRON
cana-1618	183	17	have	have	AUX
cana-1618	183	18	been	be	AUX
cana-1618	183	19	stored	store	VERB
cana-1618	183	20	in	in	ADP
cana-1618	183	21	the	the	DET
cana-1618	183	22	gpu	gpu	PROPN
cana-1618	183	23	.	.	PROPN
cana-1618	183	24	figure	figure	NOUN
cana-1618	183	25	illustrates	illustrate	VERB
cana-1618	183	26	the	the	DET
cana-1618	183	27	matlab	matlab	PROPN
cana-1618	183	28	gpu	gpu	NOUN
cana-1618	183	29	processing	processing	NOUN
cana-1618	183	30	approach	approach	NOUN
cana-1618	183	31	.	.	PUNCT
cana-1618	184	1	communications	communication	NOUN
cana-1618	184	2	on	on	ADP
cana-1618	184	3	applied	apply	VERB
cana-1618	184	4	nonlinear	nonlinear	ADJ
cana-1618	184	5	analysis	analysis	NOUN
cana-1618	184	6	issn	issn	NOUN
cana-1618	184	7	:	:	PUNCT
cana-1618	184	8	1074	1074	NUM
cana-1618	184	9	-	-	PUNCT
cana-1618	184	10	133x	133x	NUM
cana-1618	184	11	vol	vol	NOUN
cana-1618	184	12	32	32	NUM
cana-1618	184	13	no	no	NOUN
cana-1618	184	14	.	.	NOUN
cana-1618	184	15	1	1	NUM
cana-1618	184	16	(	(	PUNCT
cana-1618	184	17	2025	2025	NUM
cana-1618	184	18	)	)	PUNCT
cana-1618	184	19	31	31	NUM
cana-1618	184	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	184	21	figure	figure	NOUN
cana-1618	184	22	3	3	NUM
cana-1618	184	23	:	:	PUNCT
cana-1618	184	24	procedures	procedure	NOUN
cana-1618	184	25	used	use	VERB
cana-1618	184	26	in	in	ADP
cana-1618	184	27	gpu	gpu	NOUN
cana-1618	184	28	computing	compute	VERB
cana-1618	184	29	one	one	NUM
cana-1618	184	30	advantage	advantage	NOUN
cana-1618	184	31	of	of	ADP
cana-1618	184	32	building	build	VERB
cana-1618	184	33	computer	computer	NOUN
cana-1618	184	34	programmes	programme	NOUN
cana-1618	184	35	in	in	ADP
cana-1618	184	36	matlab	matlab	PROPN
cana-1618	184	37	gpu	gpu	PROPN
cana-1618	184	38	is	be	AUX
cana-1618	184	39	that	that	SCONJ
cana-1618	184	40	users	user	NOUN
cana-1618	184	41	can	can	AUX
cana-1618	184	42	easily	easily	ADV
cana-1618	184	43	use	use	VERB
cana-1618	184	44	gpu	gpu	NOUN
cana-1618	184	45	registering	registering	NOUN
cana-1618	184	46	by	by	ADP
cana-1618	184	47	adding	add	VERB
cana-1618	184	48	very	very	ADV
cana-1618	184	49	few	few	ADJ
cana-1618	184	50	additional	additional	ADJ
cana-1618	184	51	commands	command	NOUN
cana-1618	184	52	to	to	ADP
cana-1618	184	53	their	their	PRON
cana-1618	184	54	custom	custom	NOUN
cana-1618	184	55	matlab	matlab	PROPN
cana-1618	184	56	scripts	script	NOUN
cana-1618	184	57	.	.	PUNCT
cana-1618	185	1	the	the	DET
cana-1618	185	2	fact	fact	NOUN
cana-1618	185	3	that	that	SCONJ
cana-1618	185	4	the	the	DET
cana-1618	185	5	majority	majority	NOUN
cana-1618	185	6	of	of	ADP
cana-1618	185	7	matlab	matlab	PROPN
cana-1618	185	8	's	's	PART
cana-1618	185	9	limited	limited	ADJ
cana-1618	185	10	capabilities	capability	NOUN
cana-1618	185	11	are	be	AUX
cana-1618	185	12	gpu	gpu	NOUN
cana-1618	185	13	-	-	PUNCT
cana-1618	185	14	powered	power	VERB
cana-1618	185	15	and	and	CCONJ
cana-1618	185	16	that	that	SCONJ
cana-1618	185	17	matlab	matlab	PROPN
cana-1618	185	18	's	's	PART
cana-1618	185	19	gpu	gpu	NOUN
cana-1618	185	20	-	-	PUNCT
cana-1618	185	21	based	base	VERB
cana-1618	185	22	computation	computation	NOUN
cana-1618	185	23	is	be	AUX
cana-1618	185	24	not	not	PART
cana-1618	185	25	exactly	exactly	ADV
cana-1618	185	26	the	the	DET
cana-1618	185	27	same	same	ADJ
cana-1618	185	28	as	as	ADP
cana-1618	185	29	that	that	PRON
cana-1618	185	30	of	of	ADP
cana-1618	185	31	cuda	cuda	NOUN
cana-1618	185	32	-	-	PUNCT
cana-1618	185	33	written	write	VERB
cana-1618	185	34	routines	routine	NOUN
cana-1618	185	35	are	be	AUX
cana-1618	185	36	among	among	ADP
cana-1618	185	37	the	the	DET
cana-1618	185	38	obstacles	obstacle	NOUN
cana-1618	185	39	.	.	PUNCT
cana-1618	186	1	7	7	X
cana-1618	186	2	.	.	X
cana-1618	186	3	parallel	parallel	ADJ
cana-1618	186	4	performance	performance	NOUN
cana-1618	186	5	evaluation	evaluation	NOUN
cana-1618	186	6	the	the	DET
cana-1618	186	7	parallel	parallel	ADJ
cana-1618	186	8	calculation	calculation	NOUN
cana-1618	186	9	's	's	PART
cana-1618	186	10	performance	performance	NOUN
cana-1618	186	11	will	will	AUX
cana-1618	186	12	be	be	AUX
cana-1618	186	13	broken	break	VERB
cana-1618	186	14	down	down	ADP
cana-1618	186	15	in	in	ADP
cana-1618	186	16	terms	term	NOUN
cana-1618	186	17	of	of	ADP
cana-1618	186	18	execution	execution	NOUN
cana-1618	186	19	time	time	NOUN
cana-1618	186	20	,	,	PUNCT
cana-1618	186	21	speed	speed	NOUN
cana-1618	186	22	,	,	PUNCT
cana-1618	186	23	productivity	productivity	NOUN
cana-1618	186	24	,	,	PUNCT
cana-1618	186	25	viability	viability	NOUN
cana-1618	186	26	,	,	PUNCT
cana-1618	186	27	and	and	CCONJ
cana-1618	186	28	real	real	ADJ
cana-1618	186	29	-	-	PUNCT
cana-1618	186	30	world	world	NOUN
cana-1618	186	31	performance	performance	NOUN
cana-1618	186	32	.	.	PUNCT
cana-1618	187	1	these	these	PRON
cana-1618	187	2	are	be	AUX
cana-1618	187	3	the	the	DET
cana-1618	187	4	characteristics	characteristic	NOUN
cana-1618	187	5	of	of	ADP
cana-1618	187	6	the	the	DET
cana-1618	187	7	estimations	estimation	NOUN
cana-1618	187	8	.	.	PUNCT
cana-1618	188	1	:	:	PUNCT
cana-1618	189	1	𝑆𝑝𝑒𝑒𝑑𝑢𝑝	𝑆𝑝𝑒𝑒𝑑𝑢𝑝	PROPN
cana-1618	189	2	:	:	PUNCT
cana-1618	189	3	𝑠(𝑝	𝑠(𝑝	PROPN
cana-1618	189	4	)	)	PUNCT
cana-1618	189	5	=	=	PUNCT
cana-1618	189	6	𝑡1	𝑡1	PROPN
cana-1618	189	7	𝑡𝑝	𝑡𝑝	PROPN
cana-1618	189	8	𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦	𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦	PROPN
cana-1618	189	9	:	:	PUNCT
cana-1618	189	10	𝐸(𝑃	𝐸(𝑃	X
cana-1618	189	11	)	)	PUNCT
cana-1618	189	12	=	=	SYM
cana-1618	189	13	𝑆(𝑃	𝑆(𝑃	PROPN
cana-1618	189	14	)	)	PUNCT
cana-1618	189	15	𝑃𝑡𝑝	𝑃𝑡𝑝	PROPN
cana-1618	189	16	𝐸𝑓𝑓𝑒𝑐𝑡𝑖𝑣𝑒𝑛𝑠𝑠	𝐸𝑓𝑓𝑒𝑐𝑡𝑖𝑣𝑒𝑛𝑠𝑠	PROPN
cana-1618	189	17	∶	∶	NOUN
cana-1618	189	18	𝐹(𝑝	𝐹(𝑝	NOUN
cana-1618	189	19	)	)	PUNCT
cana-1618	189	20	=	=	SYM
cana-1618	189	21	𝑠(𝑝	𝑠(𝑝	NOUN
cana-1618	189	22	)	)	PUNCT
cana-1618	189	23	𝑝𝑡𝑟	𝑝𝑡𝑟	NOUN
cana-1618	189	24	=	=	SYM
cana-1618	189	25	𝐸𝑝	𝐸𝑝	PROPN
cana-1618	189	26	𝑡𝑝	𝑡𝑝	ADJ
cana-1618	189	27	𝑇𝑒𝑚𝑝𝑜𝑟𝑎𝑙	𝑇𝑒𝑚𝑝𝑜𝑟𝑎𝑙	PROPN
cana-1618	189	28	𝑝𝑒𝑟𝑓𝑜𝑟𝑚𝑎𝑛𝑐𝑒	𝑝𝑒𝑟𝑓𝑜𝑟𝑚𝑎𝑛𝑐𝑒	NOUN
cana-1618	189	29	∶	∶	NOUN
cana-1618	189	30	𝐿(𝑝	𝐿(𝑝	CCONJ
cana-1618	189	31	)	)	PUNCT
cana-1618	189	32	=	=	PUNCT
cana-1618	189	33	𝑡𝑝	𝑡𝑝	NOUN
cana-1618	189	34	−1	−1	NOUN
cana-1618	189	35	=	=	SYM
cana-1618	189	36	1	1	NUM
cana-1618	189	37	𝑡𝑝	𝑡𝑝	ADJ
cana-1618	189	38	t1=	t1=	NOUN
cana-1618	189	39	execution	execution	NOUN
cana-1618	189	40	time	time	NOUN
cana-1618	189	41	for	for	ADP
cana-1618	189	42	a	a	DET
cana-1618	189	43	single	single	ADJ
cana-1618	189	44	processor	processor	NOUN
cana-1618	189	45	and	and	CCONJ
cana-1618	189	46	tp	tp	NOUN
cana-1618	189	47	=	=	NOUN
cana-1618	189	48	execution	execution	NOUN
cana-1618	189	49	time	time	NOUN
cana-1618	189	50	using	use	VERB
cana-1618	189	51	p	p	NOUN
cana-1618	189	52	parallel	parallel	ADJ
cana-1618	189	53	processors	processor	NOUN
cana-1618	189	54	.	.	PUNCT
cana-1618	190	1	that	that	SCONJ
cana-1618	190	2	as	as	SCONJ
cana-1618	190	3	the	the	DET
cana-1618	190	4	quantity	quantity	NOUN
cana-1618	190	5	of	of	ADP
cana-1618	190	6	processors	processor	NOUN
cana-1618	190	7	expands	expand	VERB
cana-1618	190	8	,	,	PUNCT
cana-1618	190	9	the	the	DET
cana-1618	190	10	execution	execution	NOUN
cana-1618	190	11	time	time	NOUN
cana-1618	190	12	diminishes	diminish	VERB
cana-1618	190	13	.	.	PUNCT
cana-1618	191	1	the	the	DET
cana-1618	191	2	decrease	decrease	NOUN
cana-1618	191	3	in	in	ADP
cana-1618	191	4	execution	execution	NOUN
cana-1618	191	5	time	time	NOUN
cana-1618	191	6	with	with	ADP
cana-1618	191	7	an	an	DET
cana-1618	191	8	expansion	expansion	NOUN
cana-1618	191	9	in	in	ADP
cana-1618	191	10	processor	processor	NOUN
cana-1618	191	11	count	count	NOUN
cana-1618	191	12	is	be	AUX
cana-1618	191	13	additionally	additionally	ADV
cana-1618	191	14	seen	see	VERB
cana-1618	191	15	while	while	SCONJ
cana-1618	191	16	tackling	tackle	VERB
cana-1618	191	17	explanatory	explanatory	ADJ
cana-1618	191	18	and	and	CCONJ
cana-1618	191	19	exaggerated	exaggerated	ADJ
cana-1618	191	20	issues	issue	NOUN
cana-1618	191	21	.	.	PUNCT
cana-1618	192	1	shows	show	VERB
cana-1618	192	2	how	how	SCONJ
cana-1618	192	3	the	the	DET
cana-1618	192	4	speedup	speedup	NOUN
cana-1618	192	5	increments	increment	VERB
cana-1618	192	6	with	with	ADP
cana-1618	192	7	the	the	DET
cana-1618	192	8	quantity	quantity	NOUN
cana-1618	192	9	of	of	ADP
cana-1618	192	10	processors	processor	NOUN
cana-1618	192	11	added	add	VERB
cana-1618	192	12	.	.	PUNCT
cana-1618	193	1	the	the	DET
cana-1618	193	2	contention	contention	NOUN
cana-1618	193	3	for	for	ADP
cana-1618	193	4	this	this	PRON
cana-1618	193	5	is	be	AUX
cana-1618	193	6	that	that	SCONJ
cana-1618	193	7	the	the	DET
cana-1618	193	8	common	common	ADJ
cana-1618	193	9	memory	memory	NOUN
cana-1618	193	10	order	order	NOUN
cana-1618	193	11	makes	make	VERB
cana-1618	193	12	it	it	PRON
cana-1618	193	13	less	less	ADV
cana-1618	193	14	burdening	burden	VERB
cana-1618	193	15	to	to	PART
cana-1618	193	16	enter	enter	VERB
cana-1618	193	17	a	a	DET
cana-1618	193	18	group	group	NOUN
cana-1618	193	19	of	of	ADP
cana-1618	193	20	workstations	workstation	NOUN
cana-1618	193	21	.	.	PUNCT
cana-1618	194	1	a	a	DET
cana-1618	194	2	parallel	parallel	ADJ
cana-1618	194	3	program	program	NOUN
cana-1618	194	4	's	's	PART
cana-1618	194	5	productivity	productivity	NOUN
cana-1618	194	6	is	be	AUX
cana-1618	194	7	an	an	DET
cana-1618	194	8	element	element	NOUN
cana-1618	194	9	of	of	ADP
cana-1618	194	10	processor	processor	NOUN
cana-1618	194	11	use	use	NOUN
cana-1618	194	12	.	.	PUNCT
cana-1618	195	1	that	that	SCONJ
cana-1618	195	2	as	as	ADP
cana-1618	195	3	the	the	DET
cana-1618	195	4	quantity	quantity	NOUN
cana-1618	195	5	of	of	ADP
cana-1618	195	6	processors	processor	NOUN
cana-1618	195	7	increments	increment	NOUN
cana-1618	195	8	,	,	PUNCT
cana-1618	195	9	efficiency	efficiency	NOUN
cana-1618	195	10	diminishes	diminish	VERB
cana-1618	195	11	.	.	PUNCT
cana-1618	196	1	capability	capability	NOUN
cana-1618	196	2	is	be	AUX
cana-1618	196	3	,	,	PUNCT
cana-1618	196	4	as	as	SCONJ
cana-1618	196	5	is	be	AUX
cana-1618	196	6	notable	notable	ADJ
cana-1618	196	7	,	,	PUNCT
cana-1618	196	8	the	the	DET
cana-1618	196	9	proportion	proportion	NOUN
cana-1618	196	10	of	of	ADP
cana-1618	196	11	speedup	speedup	NOUN
cana-1618	196	12	to	to	PART
cana-1618	196	13	processor	processor	NOUN
cana-1618	196	14	count	count	NOUN
cana-1618	196	15	.	.	PUNCT
cana-1618	197	1	hence	hence	ADV
cana-1618	197	2	,	,	PUNCT
cana-1618	197	3	capability	capability	NOUN
cana-1618	197	4	is	be	AUX
cana-1618	197	5	a	a	DET
cana-1618	197	6	performance	performance	NOUN
cana-1618	197	7	that	that	PRON
cana-1618	197	8	is	be	AUX
cana-1618	197	9	firmly	firmly	ADV
cana-1618	197	10	connected	connect	VERB
cana-1618	197	11	to	to	PART
cana-1618	197	12	speed	speed	NOUN
cana-1618	197	13	increase	increase	NOUN
cana-1618	197	14	.	.	PUNCT
cana-1618	198	1	as	as	SCONJ
cana-1618	198	2	the	the	DET
cana-1618	198	3	quantity	quantity	NOUN
cana-1618	198	4	of	of	ADP
cana-1618	198	5	processors	processor	NOUN
cana-1618	198	6	expands	expand	VERB
cana-1618	198	7	,	,	PUNCT
cana-1618	198	8	the	the	DET
cana-1618	198	9	feasibility	feasibility	NOUN
cana-1618	198	10	increments	increment	NOUN
cana-1618	198	11	.	.	PUNCT
cana-1618	199	1	the	the	DET
cana-1618	199	2	reasonability	reasonability	NOUN
cana-1618	199	3	condition	condition	NOUN
cana-1618	199	4	relies	rely	VERB
cana-1618	199	5	upon	upon	SCONJ
cana-1618	199	6	the	the	DET
cana-1618	199	7	speed	speed	NOUN
cana-1618	199	8	increase	increase	NOUN
cana-1618	199	9	;	;	PUNCT
cana-1618	199	10	as	as	SCONJ
cana-1618	199	11	this	this	DET
cana-1618	199	12	speed	speed	NOUN
cana-1618	199	13	increase	increase	NOUN
cana-1618	199	14	builds	build	VERB
cana-1618	199	15	,	,	PUNCT
cana-1618	199	16	so	so	ADV
cana-1618	199	17	will	will	AUX
cana-1618	199	18	the	the	DET
cana-1618	199	19	ampleness	ampleness	NOUN
cana-1618	199	20	.	.	PUNCT
cana-1618	200	1	communications	communication	NOUN
cana-1618	200	2	on	on	ADP
cana-1618	200	3	applied	apply	VERB
cana-1618	200	4	nonlinear	nonlinear	ADJ
cana-1618	200	5	analysis	analysis	NOUN
cana-1618	200	6	issn	issn	NOUN
cana-1618	200	7	:	:	PUNCT
cana-1618	200	8	1074	1074	NUM
cana-1618	200	9	-	-	PUNCT
cana-1618	200	10	133x	133x	NUM
cana-1618	200	11	vol	vol	NOUN
cana-1618	200	12	32	32	NUM
cana-1618	200	13	no	no	NOUN
cana-1618	200	14	.	.	NOUN
cana-1618	200	15	1	1	NUM
cana-1618	200	16	(	(	PUNCT
cana-1618	200	17	2025	2025	NUM
cana-1618	200	18	)	)	PUNCT
cana-1618	200	19	32	32	NUM
cana-1618	200	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	200	21	that	that	SCONJ
cana-1618	200	22	the	the	DET
cana-1618	200	23	connection	connection	NOUN
cana-1618	200	24	between	between	ADP
cana-1618	200	25	the	the	DET
cana-1618	200	26	world	world	NOUN
cana-1618	200	27	performance	performance	NOUN
cana-1618	200	28	outline	outline	NOUN
cana-1618	200	29	and	and	CCONJ
cana-1618	200	30	the	the	DET
cana-1618	200	31	quantity	quantity	NOUN
cana-1618	200	32	of	of	ADP
cana-1618	200	33	processors	processor	NOUN
cana-1618	200	34	increments	increment	NOUN
cana-1618	200	35	.	.	PUNCT
cana-1618	201	1	this	this	PRON
cana-1618	201	2	is	be	AUX
cana-1618	201	3	on	on	ADP
cana-1618	201	4	the	the	DET
cana-1618	201	5	grounds	ground	NOUN
cana-1618	201	6	that	that	SCONJ
cana-1618	201	7	the	the	DET
cana-1618	201	8	quantity	quantity	NOUN
cana-1618	201	9	of	of	ADP
cana-1618	201	10	processors	processor	NOUN
cana-1618	201	11	is	be	AUX
cana-1618	201	12	expanding	expand	VERB
cana-1618	201	13	as	as	SCONJ
cana-1618	201	14	the	the	DET
cana-1618	201	15	execution	execution	NOUN
cana-1618	201	16	time	time	NOUN
cana-1618	201	17	diminishes	diminish	VERB
cana-1618	201	18	.	.	PUNCT
cana-1618	202	1	it	it	PRON
cana-1618	202	2	is	be	AUX
cana-1618	202	3	generally	generally	ADV
cana-1618	202	4	accepted	accept	VERB
cana-1618	202	5	that	that	SCONJ
cana-1618	202	6	rising	rise	VERB
cana-1618	202	7	the	the	DET
cana-1618	202	8	quantity	quantity	NOUN
cana-1618	202	9	of	of	ADP
cana-1618	202	10	processors	processor	NOUN
cana-1618	202	11	works	work	VERB
cana-1618	202	12	on	on	ADP
cana-1618	202	13	the	the	DET
cana-1618	202	14	performance	performance	NOUN
cana-1618	202	15	of	of	ADP
cana-1618	202	16	parallel	parallel	ADJ
cana-1618	202	17	estimations	estimation	NOUN
cana-1618	202	18	as	as	ADV
cana-1618	202	19	far	far	ADV
cana-1618	202	20	as	as	ADP
cana-1618	202	21	execution	execution	NOUN
cana-1618	202	22	time	time	NOUN
cana-1618	202	23	,	,	PUNCT
cana-1618	202	24	speed	speed	NOUN
cana-1618	202	25	,	,	PUNCT
cana-1618	202	26	efficiency	efficiency	NOUN
cana-1618	202	27	,	,	PUNCT
cana-1618	202	28	adequacy	adequacy	NOUN
cana-1618	202	29	,	,	PUNCT
cana-1618	202	30	and	and	CCONJ
cana-1618	202	31	transient	transient	ADJ
cana-1618	202	32	performance	performance	NOUN
cana-1618	202	33	.	.	PUNCT
cana-1618	203	1	the	the	DET
cana-1618	203	2	performance	performance	NOUN
cana-1618	203	3	of	of	ADP
cana-1618	203	4	parallel	parallel	ADJ
cana-1618	203	5	figuring	figuring	NOUN
cana-1618	203	6	is	be	AUX
cana-1618	203	7	continually	continually	ADV
cana-1618	203	8	affected	affect	VERB
cana-1618	203	9	by	by	ADP
cana-1618	203	10	correspondence	correspondence	NOUN
cana-1618	203	11	and	and	CCONJ
cana-1618	203	12	execution	execution	NOUN
cana-1618	203	13	times	time	NOUN
cana-1618	203	14	.	.	PUNCT
cana-1618	204	1	the	the	DET
cana-1618	204	2	robust	robust	ADJ
cana-1618	204	3	red	red	ADJ
cana-1618	204	4	dark	dark	PROPN
cana-1618	204	5	gauss	gauss	PROPN
cana-1618	204	6	seidel	seidel	PROPN
cana-1618	204	7	is	be	AUX
cana-1618	204	8	thought	think	VERB
cana-1618	204	9	to	to	PART
cana-1618	204	10	be	be	AUX
cana-1618	204	11	suitable	suitable	ADJ
cana-1618	204	12	for	for	ADP
cana-1618	204	13	parallel	parallel	ADJ
cana-1618	204	14	execution	execution	NOUN
cana-1618	204	15	on	on	ADP
cana-1618	204	16	pvm	pvm	NOUN
cana-1618	204	17	,	,	PUNCT
cana-1618	204	18	where	where	SCONJ
cana-1618	204	19	information	information	NOUN
cana-1618	204	20	disintegration	disintegration	NOUN
cana-1618	204	21	is	be	AUX
cana-1618	204	22	carried	carry	VERB
cana-1618	204	23	out	out	ADP
cana-1618	204	24	concurrently	concurrently	ADV
cana-1618	204	25	at	at	ADP
cana-1618	204	26	every	every	DET
cana-1618	204	27	time	time	NOUN
cana-1618	204	28	step	step	NOUN
cana-1618	204	29	.	.	PUNCT
cana-1618	205	1	applications	application	NOUN
cana-1618	205	2	of	of	ADP
cana-1618	205	3	the	the	DET
cana-1618	205	4	pvm	pvm	NOUN
cana-1618	205	5	framework	framework	NOUN
cana-1618	205	6	include	include	VERB
cana-1618	205	7	the	the	DET
cana-1618	205	8	replication	replication	NOUN
cana-1618	205	9	of	of	ADP
cana-1618	205	10	atomic	atomic	ADJ
cana-1618	205	11	elements	element	NOUN
cana-1618	205	12	,	,	PUNCT
cana-1618	205	13	the	the	DET
cana-1618	205	14	review	review	NOUN
cana-1618	205	15	of	of	ADP
cana-1618	205	16	superconductivity	superconductivity	NOUN
cana-1618	205	17	,	,	PUNCT
cana-1618	205	18	calculations	calculation	NOUN
cana-1618	205	19	of	of	ADP
cana-1618	205	20	distributed	distribute	VERB
cana-1618	205	21	fractals	fractal	NOUN
cana-1618	205	22	,	,	PUNCT
cana-1618	205	23	network	network	NOUN
cana-1618	205	24	computations	computation	NOUN
cana-1618	205	25	,	,	PUNCT
cana-1618	205	26	and	and	CCONJ
cana-1618	205	27	the	the	DET
cana-1618	205	28	demonstration	demonstration	NOUN
cana-1618	205	29	of	of	ADP
cana-1618	205	30	simultaneous	simultaneous	ADJ
cana-1618	205	31	figures	figure	NOUN
cana-1618	205	32	in	in	ADP
cana-1618	205	33	study	study	NOUN
cana-1618	205	34	halls	hall	NOUN
cana-1618	205	35	..	..	PUNCT
cana-1618	205	36	8	8	NUM
cana-1618	205	37	.	.	PUNCT
cana-1618	206	1	results	result	NOUN
cana-1618	206	2	using	use	VERB
cana-1618	206	3	a	a	DET
cana-1618	206	4	64	64	NUM
cana-1618	206	5	center	center	NOUN
cana-1618	206	6	ncube	ncube	NOUN
cana-1618	206	7	2	2	NUM
cana-1618	206	8	pc	pc	NOUN
cana-1618	206	9	structure	structure	NOUN
cana-1618	206	10	and	and	CCONJ
cana-1618	206	11	a	a	DET
cana-1618	206	12	parallel	parallel	ADJ
cana-1618	206	13	c	c	NOUN
cana-1618	206	14	program	program	NOUN
cana-1618	206	15	,	,	PUNCT
cana-1618	206	16	the	the	DET
cana-1618	206	17	answer	answer	NOUN
cana-1618	206	18	for	for	ADP
cana-1618	206	19	the	the	DET
cana-1618	206	20	one	one	NUM
cana-1618	206	21	-	-	PUNCT
cana-1618	206	22	layered	layer	VERB
cana-1618	206	23	wave	wave	NOUN
cana-1618	206	24	condition	condition	NOUN
cana-1618	206	25	was	be	AUX
cana-1618	206	26	found	find	VERB
cana-1618	206	27	.	.	PUNCT
cana-1618	207	1	the	the	DET
cana-1618	207	2	time	time	NOUN
cana-1618	207	3	expected	expect	VERB
cana-1618	207	4	for	for	SCONJ
cana-1618	207	5	the	the	DET
cana-1618	207	6	program	program	NOUN
cana-1618	207	7	to	to	PART
cana-1618	207	8	work	work	VERB
cana-1618	207	9	on	on	ADP
cana-1618	207	10	different	different	ADJ
cana-1618	207	11	quantities	quantity	NOUN
cana-1618	207	12	of	of	ADP
cana-1618	207	13	processors	processor	NOUN
cana-1618	207	14	was	be	AUX
cana-1618	207	15	contrasted	contrast	VERB
cana-1618	207	16	with	with	ADP
cana-1618	207	17	the	the	DET
cana-1618	207	18	time	time	NOUN
cana-1618	207	19	expected	expect	VERB
cana-1618	207	20	while	while	SCONJ
cana-1618	207	21	utilizing	utilize	VERB
cana-1618	207	22	only	only	ADV
cana-1618	207	23	one	one	NUM
cana-1618	207	24	processor	processor	NOUN
cana-1618	207	25	.	.	PUNCT
cana-1618	208	1	table	table	NOUN
cana-1618	208	2	1	1	NUM
cana-1618	208	3	contains	contain	VERB
cana-1618	208	4	these	these	DET
cana-1618	208	5	subtleties	subtlety	NOUN
cana-1618	208	6	.	.	PUNCT
cana-1618	209	1	table	table	NOUN
cana-1618	209	2	1	1	NUM
cana-1618	209	3	:	:	PUNCT
cana-1618	209	4	the	the	DET
cana-1618	209	5	sequential	sequential	ADJ
cana-1618	209	6	algorithm	algorithm	NOUN
cana-1618	209	7	created	create	VERB
cana-1618	209	8	in	in	ADP
cana-1618	209	9	parallel	parallel	ADJ
cana-1618	209	10	number	number	NOUN
cana-1618	209	11	of	of	ADP
cana-1618	209	12	processors	processor	NOUN
cana-1618	209	13	total	total	ADJ
cana-1618	209	14	time	time	NOUN
cana-1618	209	15	speedup	speedup	NOUN
cana-1618	209	16	1	1	NUM
cana-1618	209	17	25.12485	25.12485	NUM
cana-1618	209	18	2	2	NUM
cana-1618	209	19	12.585786	12.585786	NUM
cana-1618	209	20	1.886	1.886	NUM
cana-1618	209	21	4	4	NUM
cana-1618	209	22	5.932076	5.932076	NUM
cana-1618	209	23	3.982	3.982	NUM
cana-1618	209	24	8	8	NUM
cana-1618	209	25	2.104460	2.104460	NUM
cana-1618	209	26	7.945	7.945	NUM
cana-1618	209	27	16	16	NUM
cana-1618	209	28	1.600458	1.600458	NUM
cana-1618	209	29	16.408	16.408	NUM
cana-1618	209	30	32	32	NUM
cana-1618	210	1	.788542	.788542	NUM
cana-1618	210	2	28.685	28.685	NUM
cana-1618	210	3	64	64	NUM
cana-1618	210	4	.428035	.428035	NUM
cana-1618	210	5	54.295	54.295	NUM
cana-1618	210	6	figure	figure	NOUN
cana-1618	210	7	4	4	NUM
cana-1618	210	8	:	:	PUNCT
cana-1618	210	9	sequential	sequential	ADJ
cana-1618	210	10	algorithm	algorithm	NOUN
cana-1618	210	11	made	make	VERB
cana-1618	210	12	parallel	parallel	ADJ
cana-1618	210	13	a	a	DET
cana-1618	210	14	framework	framework	NOUN
cana-1618	210	15	with	with	ADP
cana-1618	210	16	n	n	PRON
cana-1618	210	17	processors	processor	NOUN
cana-1618	210	18	should	should	AUX
cana-1618	210	19	ideally	ideally	ADV
cana-1618	210	20	result	result	VERB
cana-1618	210	21	in	in	ADP
cana-1618	210	22	a	a	DET
cana-1618	210	23	programme	programme	NOUN
cana-1618	210	24	speedup	speedup	NOUN
cana-1618	210	25	of	of	ADP
cana-1618	210	26	n.	n.	NOUN
cana-1618	210	27	correspondence	correspondence	NOUN
cana-1618	210	28	costs	cost	NOUN
cana-1618	210	29	will	will	AUX
cana-1618	210	30	eventually	eventually	ADV
cana-1618	210	31	reduce	reduce	VERB
cana-1618	210	32	the	the	DET
cana-1618	210	33	speedup	speedup	NOUN
cana-1618	210	34	.	.	PUNCT
cana-1618	211	1	the	the	DET
cana-1618	211	2	speed	speed	NOUN
cana-1618	211	3	improvements	improvement	NOUN
cana-1618	211	4	(	(	PUNCT
cana-1618	211	5	such	such	ADJ
cana-1618	211	6	55.294	55.294	NUM
cana-1618	211	7	for	for	ADP
cana-1618	211	8	64	64	NUM
cana-1618	211	9	cpus	cpu	NOUN
cana-1618	211	10	)	)	PUNCT
cana-1618	211	11	were	be	AUX
cana-1618	211	12	really	really	ADV
cana-1618	211	13	encouraging	encouraging	ADJ
cana-1618	211	14	.	.	PUNCT
cana-1618	212	1	0	0	NUM
cana-1618	213	1	20	20	NUM
cana-1618	213	2	40	40	NUM
cana-1618	213	3	60	60	NUM
cana-1618	213	4	80	80	NUM
cana-1618	213	5	100	100	NUM
cana-1618	213	6	120	120	NUM
cana-1618	213	7	1	1	NUM
cana-1618	213	8	2	2	NUM
cana-1618	213	9	3	3	NUM
cana-1618	213	10	4	4	NUM
cana-1618	213	11	5	5	NUM
cana-1618	213	12	6	6	NUM
cana-1618	213	13	7	7	NUM
cana-1618	213	14	number	number	NOUN
cana-1618	213	15	of	of	ADP
cana-1618	213	16	processors	processor	NOUN
cana-1618	213	17	total	total	ADJ
cana-1618	213	18	time	time	NOUN
cana-1618	213	19	speedup	speedup	NOUN
cana-1618	213	20	communications	communication	NOUN
cana-1618	213	21	on	on	ADP
cana-1618	213	22	applied	apply	VERB
cana-1618	213	23	nonlinear	nonlinear	ADJ
cana-1618	213	24	analysis	analysis	NOUN
cana-1618	213	25	issn	issn	NOUN
cana-1618	213	26	:	:	PUNCT
cana-1618	213	27	1074	1074	NUM
cana-1618	213	28	-	-	PUNCT
cana-1618	213	29	133x	133x	NUM
cana-1618	213	30	vol	vol	NOUN
cana-1618	213	31	32	32	NUM
cana-1618	213	32	no	no	NOUN
cana-1618	213	33	.	.	NOUN
cana-1618	213	34	1	1	NUM
cana-1618	213	35	(	(	PUNCT
cana-1618	213	36	2025	2025	NUM
cana-1618	213	37	)	)	PUNCT
cana-1618	213	38	33	33	NUM
cana-1618	213	39	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	213	40	now	now	ADV
cana-1618	213	41	note	note	VERB
cana-1618	213	42	that	that	SCONJ
cana-1618	213	43	the	the	DET
cana-1618	213	44	correlation	correlation	NOUN
cana-1618	213	45	shown	show	VERB
cana-1618	213	46	above	above	ADV
cana-1618	213	47	was	be	AUX
cana-1618	213	48	measured	measure	VERB
cana-1618	213	49	against	against	ADP
cana-1618	213	50	the	the	DET
cana-1618	213	51	amount	amount	NOUN
cana-1618	213	52	of	of	ADP
cana-1618	213	53	time	time	NOUN
cana-1618	213	54	it	it	PRON
cana-1618	213	55	took	take	VERB
cana-1618	213	56	a	a	DET
cana-1618	213	57	single	single	ADJ
cana-1618	213	58	processor	processor	NOUN
cana-1618	213	59	to	to	PART
cana-1618	213	60	perform	perform	VERB
cana-1618	213	61	a	a	DET
cana-1618	213	62	parallel	parallel	ADJ
cana-1618	213	63	computing	computing	NOUN
cana-1618	213	64	programme	programme	NOUN
cana-1618	213	65	.	.	PUNCT
cana-1618	214	1	the	the	DET
cana-1618	214	2	parallel	parallel	ADJ
cana-1618	214	3	times	time	NOUN
cana-1618	214	4	should	should	AUX
cana-1618	214	5	be	be	AUX
cana-1618	214	6	compared	compare	VERB
cana-1618	214	7	against	against	ADP
cana-1618	214	8	a	a	DET
cana-1618	214	9	strictly	strictly	ADV
cana-1618	214	10	consecutive	consecutive	ADJ
cana-1618	214	11	programme	programme	NOUN
cana-1618	214	12	in	in	ADP
cana-1618	214	13	order	order	NOUN
cana-1618	214	14	to	to	PART
cana-1618	214	15	determine	determine	VERB
cana-1618	214	16	any	any	DET
cana-1618	214	17	speedup	speedup	NOUN
cana-1618	214	18	.	.	PUNCT
cana-1618	215	1	for	for	ADP
cana-1618	215	2	the	the	DET
cana-1618	215	3	one	one	NUM
cana-1618	215	4	-	-	PUNCT
cana-1618	215	5	dimensional	dimensional	ADJ
cana-1618	215	6	wave	wave	NOUN
cana-1618	215	7	condition	condition	NOUN
cana-1618	215	8	,	,	PUNCT
cana-1618	215	9	a	a	DET
cana-1618	215	10	sequential	sequential	ADJ
cana-1618	215	11	programme	programme	NOUN
cana-1618	215	12	was	be	AUX
cana-1618	215	13	run	run	VERB
cana-1618	215	14	,	,	PUNCT
cana-1618	215	15	and	and	CCONJ
cana-1618	215	16	the	the	DET
cana-1618	215	17	run	run	NOUN
cana-1618	215	18	time	time	NOUN
cana-1618	215	19	was	be	AUX
cana-1618	215	20	noted	note	VERB
cana-1618	215	21	.	.	PUNCT
cana-1618	216	1	table	table	NOUN
cana-1618	216	2	2	2	NUM
cana-1618	216	3	shows	show	VERB
cana-1618	216	4	how	how	SCONJ
cana-1618	216	5	much	much	ADV
cana-1618	216	6	faster	fast	ADV
cana-1618	216	7	the	the	DET
cana-1618	216	8	parallel	parallel	ADJ
cana-1618	216	9	rendition	rendition	NOUN
cana-1618	216	10	was	be	AUX
cana-1618	216	11	than	than	ADP
cana-1618	216	12	the	the	DET
cana-1618	216	13	consecutive	consecutive	ADJ
cana-1618	216	14	adaption	adaption	NOUN
cana-1618	216	15	.	.	PUNCT
cana-1618	217	1	in	in	ADP
cana-1618	217	2	this	this	DET
cana-1618	217	3	case	case	NOUN
cana-1618	217	4	,	,	PUNCT
cana-1618	217	5	the	the	DET
cana-1618	217	6	speedups	speedup	NOUN
cana-1618	217	7	were	be	AUX
cana-1618	217	8	remarkably	remarkably	ADV
cana-1618	217	9	faster	fast	ADJ
cana-1618	217	10	than	than	ADP
cana-1618	217	11	in	in	ADP
cana-1618	217	12	the	the	DET
cana-1618	217	13	past	past	NOUN
cana-1618	217	14	..	..	PUNCT
cana-1618	217	15	table	table	NOUN
cana-1618	217	16	2	2	NUM
cana-1618	217	17	:	:	PUNCT
cana-1618	217	18	acceleration	acceleration	NOUN
cana-1618	217	19	of	of	ADP
cana-1618	217	20	the	the	DET
cana-1618	217	21	parallel	parallel	ADJ
cana-1618	217	22	process	process	NOUN
cana-1618	217	23	number	number	NOUN
cana-1618	217	24	of	of	ADP
cana-1618	217	25	processors	processor	NOUN
cana-1618	217	26	speedup	speedup	VERB
cana-1618	217	27	2	2	NUM
cana-1618	217	28	2.185	2.185	NUM
cana-1618	217	29	4	4	NUM
cana-1618	217	30	4.555	4.555	NUM
cana-1618	217	31	8	8	NUM
cana-1618	217	32	8.585	8.585	NUM
cana-1618	217	33	16	16	NUM
cana-1618	217	34	16.849	16.849	NUM
cana-1618	217	35	32	32	NUM
cana-1618	217	36	32.455	32.455	NUM
cana-1618	217	37	64	64	NUM
cana-1618	217	38	60.465	60.465	NUM
cana-1618	217	39	figure	figure	NOUN
cana-1618	217	40	5	5	NUM
cana-1618	217	41	:	:	PUNCT
cana-1618	217	42	speedup	speedup	NOUN
cana-1618	217	43	of	of	ADP
cana-1618	217	44	parallel	parallel	ADJ
cana-1618	217	45	algorithm	algorithm	NOUN
cana-1618	217	46	tests	test	NOUN
cana-1618	217	47	are	be	AUX
cana-1618	217	48	presently	presently	ADV
cana-1618	217	49	being	be	AUX
cana-1618	217	50	attempted	attempt	VERB
cana-1618	217	51	to	to	PART
cana-1618	217	52	test	test	VERB
cana-1618	217	53	the	the	DET
cana-1618	217	54	responsiveness	responsiveness	NOUN
cana-1618	217	55	of	of	ADP
cana-1618	217	56	our	our	PRON
cana-1618	217	57	answer	answer	NOUN
cana-1618	217	58	for	for	ADP
cana-1618	217	59	the	the	DET
cana-1618	217	60	cluster	cluster	NOUN
cana-1618	217	61	size	size	NOUN
cana-1618	217	62	.	.	PUNCT
cana-1618	218	1	instinctively	instinctively	ADV
cana-1618	218	2	,	,	PUNCT
cana-1618	218	3	our	our	PRON
cana-1618	218	4	answer	answer	NOUN
cana-1618	218	5	ought	ought	AUX
cana-1618	218	6	to	to	PART
cana-1618	218	7	be	be	AUX
cana-1618	218	8	more	more	ADV
cana-1618	218	9	productive	productive	ADJ
cana-1618	218	10	the	the	PRON
cana-1618	218	11	bigger	big	ADJ
cana-1618	218	12	the	the	DET
cana-1618	218	13	exhibit	exhibit	NOUN
cana-1618	218	14	.	.	PUNCT
cana-1618	219	1	primer	primer	NOUN
cana-1618	219	2	outcomes	outcome	NOUN
cana-1618	219	3	support	support	VERB
cana-1618	219	4	this	this	PRON
cana-1618	219	5	,	,	PUNCT
cana-1618	219	6	however	however	ADV
cana-1618	219	7	more	more	ADJ
cana-1618	219	8	tests	test	NOUN
cana-1618	219	9	are	be	AUX
cana-1618	219	10	arranged	arrange	VERB
cana-1618	219	11	.	.	PUNCT
cana-1618	220	1	9	9	X
cana-1618	220	2	.	.	X
cana-1618	220	3	conclusions	conclusion	NOUN
cana-1618	220	4	the	the	DET
cana-1618	220	5	c	c	PROPN
cana-1618	220	6	programming	programming	NOUN
cana-1618	220	7	language	language	NOUN
cana-1618	220	8	was	be	AUX
cana-1618	220	9	utilized	utilize	VERB
cana-1618	220	10	in	in	ADP
cana-1618	220	11	parallel	parallel	NOUN
cana-1618	220	12	to	to	PART
cana-1618	220	13	do	do	VERB
cana-1618	220	14	the	the	DET
cana-1618	220	15	round	round	NOUN
cana-1618	220	16	of	of	ADP
cana-1618	220	17	life	life	NOUN
cana-1618	220	18	on	on	ADP
cana-1618	220	19	a	a	DET
cana-1618	220	20	64	64	NUM
cana-1618	220	21	-	-	PUNCT
cana-1618	220	22	center	center	NOUN
cana-1618	220	23	point	point	NOUN
cana-1618	220	24	ncube	ncube	NOUN
cana-1618	220	25	2	2	NUM
cana-1618	220	26	pc	pc	NOUN
cana-1618	220	27	system	system	NOUN
cana-1618	220	28	.	.	PUNCT
cana-1618	221	1	the	the	DET
cana-1618	221	2	one	one	NUM
cana-1618	221	3	-	-	PUNCT
cana-1618	221	4	layered	layer	VERB
cana-1618	221	5	wave	wave	NOUN
cana-1618	221	6	condition	condition	NOUN
cana-1618	221	7	and	and	CCONJ
cana-1618	221	8	the	the	DET
cana-1618	221	9	two	two	NUM
cana-1618	221	10	-	-	PUNCT
cana-1618	221	11	layered	layer	VERB
cana-1618	221	12	laplace	laplace	NOUN
cana-1618	221	13	's	's	PART
cana-1618	221	14	condition	condition	NOUN
cana-1618	221	15	were	be	AUX
cana-1618	221	16	then	then	ADV
cana-1618	221	17	replied	reply	VERB
cana-1618	221	18	pair	pair	NOUN
cana-1618	221	19	utilizing	utilize	VERB
cana-1618	221	20	this	this	DET
cana-1618	221	21	execution	execution	NOUN
cana-1618	221	22	with	with	ADP
cana-1618	221	23	not	not	PART
cana-1618	221	24	very	very	ADV
cana-1618	221	25	many	many	ADJ
cana-1618	221	26	adjustments	adjustment	NOUN
cana-1618	221	27	.	.	PUNCT
cana-1618	222	1	the	the	DET
cana-1618	222	2	initial	initial	ADJ
cana-1618	222	3	results	result	NOUN
cana-1618	222	4	are	be	AUX
cana-1618	222	5	very	very	ADV
cana-1618	222	6	encouraging	encouraging	ADJ
cana-1618	222	7	,	,	PUNCT
cana-1618	222	8	despite	despite	SCONJ
cana-1618	222	9	the	the	DET
cana-1618	222	10	fact	fact	NOUN
cana-1618	222	11	that	that	SCONJ
cana-1618	222	12	performance	performance	NOUN
cana-1618	222	13	data	datum	NOUN
cana-1618	222	14	are	be	AUX
cana-1618	222	15	yet	yet	ADV
cana-1618	222	16	incomplete	incomplete	ADJ
cana-1618	222	17	.	.	PUNCT
cana-1618	223	1	the	the	DET
cana-1618	223	2	wave	wave	NOUN
cana-1618	223	3	condition	condition	NOUN
cana-1618	223	4	arrangement	arrangement	NOUN
cana-1618	223	5	speedups	speedup	NOUN
cana-1618	223	6	suggest	suggest	VERB
cana-1618	223	7	that	that	SCONJ
cana-1618	223	8	correspondence	correspondence	NOUN
cana-1618	223	9	prices	price	NOUN
cana-1618	223	10	wo	will	AUX
cana-1618	223	11	n't	not	PART
cana-1618	223	12	be	be	AUX
cana-1618	223	13	a	a	DET
cana-1618	223	14	significant	significant	ADJ
cana-1618	223	15	barrier	barrier	NOUN
cana-1618	223	16	to	to	ADP
cana-1618	223	17	numerically	numerically	ADV
cana-1618	223	18	solving	solve	VERB
cana-1618	223	19	many	many	ADJ
cana-1618	223	20	partial	partial	ADJ
cana-1618	223	21	differential	differential	ADJ
cana-1618	223	22	equations	equation	NOUN
cana-1618	223	23	on	on	ADP
cana-1618	223	24	parallel	parallel	ADJ
cana-1618	223	25	pc	pc	NOUN
cana-1618	223	26	frameworks	framework	NOUN
cana-1618	223	27	.	.	PUNCT
cana-1618	224	1	further	further	ADJ
cana-1618	224	2	study	study	NOUN
cana-1618	224	3	will	will	AUX
cana-1618	224	4	involve	involve	VERB
cana-1618	224	5	trying	try	VERB
cana-1618	224	6	the	the	DET
cana-1618	224	7	executions	execution	NOUN
cana-1618	224	8	under	under	ADP
cana-1618	224	9	a	a	DET
cana-1618	224	10	wide	wide	ADJ
cana-1618	224	11	range	range	NOUN
cana-1618	224	12	of	of	ADP
cana-1618	224	13	limit	limit	NOUN
cana-1618	224	14	conditions	condition	NOUN
cana-1618	224	15	and	and	CCONJ
cana-1618	224	16	gathering	gather	VERB
cana-1618	224	17	performance	performance	NOUN
cana-1618	224	18	data	datum	NOUN
cana-1618	224	19	.	.	PUNCT
cana-1618	225	1	findings	finding	NOUN
cana-1618	225	2	on	on	ADP
cana-1618	225	3	the	the	DET
cana-1618	225	4	solution	solution	NOUN
cana-1618	225	5	to	to	ADP
cana-1618	225	6	laplace	laplace	NOUN
cana-1618	225	7	's	's	PART
cana-1618	225	8	scenario	scenario	NOUN
cana-1618	225	9	will	will	AUX
cana-1618	225	10	soon	soon	ADV
cana-1618	225	11	be	be	AUX
cana-1618	225	12	available	available	ADJ
cana-1618	225	13	.	.	PUNCT
cana-1618	226	1	0	0	NUM
cana-1618	227	1	20	20	NUM
cana-1618	227	2	40	40	NUM
cana-1618	227	3	60	60	NUM
cana-1618	227	4	80	80	NUM
cana-1618	227	5	100	100	NUM
cana-1618	227	6	120	120	NUM
cana-1618	227	7	140	140	NUM
cana-1618	227	8	1	1	NUM
cana-1618	227	9	2	2	NUM
cana-1618	227	10	3	3	NUM
cana-1618	227	11	4	4	NUM
cana-1618	227	12	5	5	NUM
cana-1618	227	13	6	6	NUM
cana-1618	227	14	number	number	NOUN
cana-1618	227	15	of	of	ADP
cana-1618	227	16	processors	processor	NOUN
cana-1618	227	17	speedup	speedup	NOUN
cana-1618	227	18	communications	communication	NOUN
cana-1618	227	19	on	on	ADP
cana-1618	227	20	applied	apply	VERB
cana-1618	227	21	nonlinear	nonlinear	ADJ
cana-1618	227	22	analysis	analysis	NOUN
cana-1618	227	23	issn	issn	NOUN
cana-1618	227	24	:	:	PUNCT
cana-1618	227	25	1074	1074	NUM
cana-1618	227	26	-	-	PUNCT
cana-1618	227	27	133x	133x	NUM
cana-1618	227	28	vol	vol	NOUN
cana-1618	227	29	32	32	NUM
cana-1618	227	30	no	no	NOUN
cana-1618	227	31	.	.	NOUN
cana-1618	227	32	1	1	NUM
cana-1618	227	33	(	(	PUNCT
cana-1618	227	34	2025	2025	NUM
cana-1618	227	35	)	)	PUNCT
cana-1618	227	36	34	34	NUM
cana-1618	227	37	https://internationalpubls.com	https://internationalpubls.com	X
cana-1618	227	38	references	reference	NOUN
cana-1618	227	39	[	[	X
cana-1618	227	40	1	1	NUM
cana-1618	227	41	]	]	SYM
cana-1618	227	42	götschel	götschel	PROPN
cana-1618	227	43	,	,	PUNCT
cana-1618	227	44	s.	s.	PROPN
cana-1618	227	45	,	,	PUNCT
cana-1618	227	46	&	&	CCONJ
cana-1618	227	47	weiser	weiser	PROPN
cana-1618	227	48	,	,	PUNCT
cana-1618	227	49	m.	m.	NOUN
cana-1618	227	50	(	(	PUNCT
cana-1618	227	51	2019	2019	NUM
cana-1618	227	52	)	)	PUNCT
cana-1618	227	53	.	.	PUNCT
cana-1618	228	1	compression	compression	NOUN
cana-1618	228	2	challenges	challenge	NOUN
cana-1618	228	3	in	in	ADP
cana-1618	228	4	large	large	ADJ
cana-1618	228	5	scale	scale	NOUN
cana-1618	228	6	partial	partial	ADJ
cana-1618	228	7	differential	differential	NOUN
cana-1618	228	8	equation	equation	NOUN
cana-1618	228	9	solvers	solver	NOUN
cana-1618	228	10	.	.	PUNCT
cana-1618	229	1	algorithms	algorithm	NOUN
cana-1618	229	2	,	,	PUNCT
cana-1618	229	3	12(9	12(9	NUM
cana-1618	229	4	)	)	PUNCT
cana-1618	229	5	,	,	PUNCT
cana-1618	229	6	197	197	NUM
cana-1618	229	7	.	.	PUNCT
cana-1618	230	1	[	[	X
cana-1618	230	2	2	2	NUM
cana-1618	230	3	]	]	PUNCT
cana-1618	230	4	bashkov	bashkov	NOUN
cana-1618	230	5	,	,	PUNCT
cana-1618	230	6	e.	e.	PROPN
cana-1618	230	7	a.	a.	PROPN
cana-1618	230	8	,	,	PUNCT
cana-1618	230	9	dmitrieva	dmitrieva	PROPN
cana-1618	230	10	,	,	PUNCT
cana-1618	230	11	o.	o.	PROPN
cana-1618	230	12	a.	a.	PROPN
cana-1618	230	13	,	,	PUNCT
cana-1618	230	14	huskova	huskova	PROPN
cana-1618	230	15	,	,	PUNCT
cana-1618	230	16	n.	n.	PROPN
cana-1618	230	17	h.	h.	PROPN
cana-1618	230	18	,	,	PUNCT
cana-1618	230	19	vishnevskyi	vishnevskyi	PROPN
cana-1618	230	20	,	,	PUNCT
cana-1618	230	21	s.	s.	PROPN
cana-1618	230	22	y.	y.	PROPN
cana-1618	230	23	,	,	PUNCT
cana-1618	230	24	kotyra	kotyra	PROPN
cana-1618	230	25	,	,	PUNCT
cana-1618	230	26	a.	a.	NOUN
cana-1618	230	27	,	,	PUNCT
cana-1618	230	28	&	&	CCONJ
cana-1618	230	29	ormanbekova	ormanbekova	PROPN
cana-1618	230	30	,	,	PUNCT
cana-1618	230	31	a.	a.	NOUN
cana-1618	230	32	(	(	PUNCT
cana-1618	230	33	2022	2022	NUM
cana-1618	230	34	,	,	PUNCT
cana-1618	230	35	december	december	PROPN
cana-1618	230	36	)	)	PUNCT
cana-1618	230	37	.	.	PUNCT
cana-1618	231	1	parallel	parallel	ADJ
cana-1618	231	2	implementation	implementation	NOUN
cana-1618	231	3	of	of	ADP
cana-1618	231	4	evolutionary	evolutionary	ADJ
cana-1618	231	5	partial	partial	ADJ
cana-1618	231	6	differential	differential	NOUN
cana-1618	231	7	equations	equation	NOUN
cana-1618	231	8	by	by	ADP
cana-1618	231	9	collocation	collocation	NOUN
cana-1618	231	10	optical	optical	ADJ
cana-1618	231	11	-	-	PUNCT
cana-1618	231	12	electronic	electronic	ADJ
cana-1618	231	13	schemes	scheme	NOUN
cana-1618	231	14	.	.	PUNCT
cana-1618	232	1	in	in	ADP
cana-1618	232	2	photonics	photonics	NOUN
cana-1618	232	3	applications	application	NOUN
cana-1618	232	4	in	in	ADP
cana-1618	232	5	astronomy	astronomy	NOUN
cana-1618	232	6	,	,	PUNCT
cana-1618	232	7	communications	communication	NOUN
cana-1618	232	8	,	,	PUNCT
cana-1618	232	9	industry	industry	NOUN
cana-1618	232	10	,	,	PUNCT
cana-1618	232	11	and	and	CCONJ
cana-1618	232	12	high	high	ADJ
cana-1618	232	13	energy	energy	NOUN
cana-1618	232	14	physics	physics	NOUN
cana-1618	232	15	experiments	experiment	NOUN
cana-1618	232	16	2022	2022	NUM
cana-1618	232	17	(	(	PUNCT
cana-1618	232	18	vol	vol	NOUN
cana-1618	232	19	.	.	NOUN
cana-1618	232	20	12476	12476	NUM
cana-1618	232	21	,	,	PUNCT
cana-1618	232	22	pp	pp	ADJ
cana-1618	232	23	.	.	PUNCT
cana-1618	232	24	236	236	NUM
cana-1618	232	25	-	-	SYM
cana-1618	232	26	241	241	NUM
cana-1618	232	27	)	)	PUNCT
cana-1618	232	28	.	.	PUNCT
cana-1618	233	1	spie	spie	NOUN
cana-1618	233	2	.	.	PUNCT
cana-1618	234	1	[	[	X
cana-1618	234	2	3	3	NUM
cana-1618	234	3	]	]	X
cana-1618	234	4	nielsen	nielsen	PROPN
cana-1618	234	5	,	,	PUNCT
cana-1618	234	6	a.	a.	PROPN
cana-1618	234	7	s.	s.	PROPN
cana-1618	234	8	,	,	PUNCT
cana-1618	234	9	brunner	brunner	PROPN
cana-1618	234	10	,	,	PUNCT
cana-1618	234	11	g.	g.	PROPN
cana-1618	234	12	,	,	PUNCT
cana-1618	234	13	&	&	CCONJ
cana-1618	234	14	hesthaven	hesthaven	PROPN
cana-1618	234	15	,	,	PUNCT
cana-1618	234	16	j.	j.	PROPN
cana-1618	234	17	s.	s.	PROPN
cana-1618	234	18	(	(	PUNCT
cana-1618	234	19	2018	2018	NUM
cana-1618	234	20	)	)	PUNCT
cana-1618	234	21	.	.	PUNCT
cana-1618	235	1	communication	communication	NOUN
cana-1618	235	2	-	-	PUNCT
cana-1618	235	3	aware	aware	ADJ
cana-1618	235	4	adaptive	adaptive	ADJ
cana-1618	235	5	parareal	parareal	NOUN
cana-1618	235	6	with	with	ADP
cana-1618	235	7	application	application	NOUN
cana-1618	235	8	to	to	ADP
cana-1618	235	9	a	a	DET
cana-1618	235	10	nonlinear	nonlinear	NOUN
cana-1618	235	11	[	[	X
cana-1618	235	12	4	4	NUM
cana-1618	235	13	]	]	ADJ
cana-1618	235	14	equations	equation	NOUN
cana-1618	235	15	.	.	PUNCT
cana-1618	236	1	journal	journal	NOUN
cana-1618	236	2	of	of	ADP
cana-1618	236	3	computational	computational	ADJ
cana-1618	236	4	physics	physics	NOUN
cana-1618	236	5	,	,	PUNCT
cana-1618	236	6	371	371	NUM
cana-1618	236	7	,	,	PUNCT
cana-1618	236	8	483	483	NUM
cana-1618	236	9	-	-	SYM
cana-1618	236	10	505	505	NUM
cana-1618	236	11	.	.	PUNCT
cana-1618	237	1	[	[	X
cana-1618	237	2	5	5	NUM
cana-1618	237	3	]	]	PUNCT
cana-1618	237	4	heene	heene	NOUN
cana-1618	237	5	,	,	PUNCT
cana-1618	237	6	m.	m.	NOUN
cana-1618	237	7	(	(	PUNCT
cana-1618	237	8	2018	2018	NUM
cana-1618	237	9	)	)	PUNCT
cana-1618	237	10	.	.	PUNCT
cana-1618	238	1	a	a	DET
cana-1618	238	2	massively	massively	ADV
cana-1618	238	3	parallel	parallel	ADJ
cana-1618	238	4	combination	combination	NOUN
cana-1618	238	5	technique	technique	NOUN
cana-1618	238	6	for	for	ADP
cana-1618	238	7	the	the	DET
cana-1618	238	8	solution	solution	NOUN
cana-1618	238	9	of	of	ADP
cana-1618	238	10	high	high	ADJ
cana-1618	238	11	-	-	PUNCT
cana-1618	238	12	dimensional	dimensional	ADJ
cana-1618	238	13	pdes	pde	NOUN
cana-1618	238	14	.	.	PUNCT
cana-1618	239	1	[	[	X
cana-1618	239	2	6	6	NUM
cana-1618	239	3	]	]	SYM
cana-1618	239	4	ni	ni	PROPN
cana-1618	239	5	,	,	PUNCT
cana-1618	239	6	n.	n.	NOUN
cana-1618	239	7	,	,	PUNCT
cana-1618	239	8	&	&	CCONJ
cana-1618	239	9	dong	dong	PROPN
cana-1618	239	10	,	,	PUNCT
cana-1618	239	11	s.	s.	PROPN
cana-1618	239	12	(	(	PUNCT
cana-1618	239	13	2023	2023	NUM
cana-1618	239	14	)	)	PUNCT
cana-1618	239	15	.	.	PUNCT
cana-1618	240	1	numerical	numerical	ADJ
cana-1618	240	2	computation	computation	NOUN
cana-1618	240	3	of	of	ADP
cana-1618	240	4	partial	partial	ADJ
cana-1618	240	5	differential	differential	NOUN
cana-1618	240	6	equations	equation	NOUN
cana-1618	240	7	by	by	ADP
cana-1618	240	8	hidden	hide	VERB
cana-1618	240	9	-	-	PUNCT
cana-1618	240	10	layer	layer	NOUN
cana-1618	240	11	concatenated	concatenate	VERB
cana-1618	240	12	extreme	extreme	ADJ
cana-1618	240	13	learning	learning	NOUN
cana-1618	240	14	machine	machine	NOUN
cana-1618	240	15	.	.	PUNCT
cana-1618	241	1	journal	journal	PROPN
cana-1618	241	2	of	of	ADP
cana-1618	241	3	scientific	scientific	ADJ
cana-1618	241	4	computing	computing	NOUN
cana-1618	241	5	,	,	PUNCT
cana-1618	241	6	95(2	95(2	NOUN
cana-1618	241	7	)	)	PUNCT
cana-1618	241	8	,	,	PUNCT
cana-1618	241	9	35	35	NUM
cana-1618	241	10	.	.	PUNCT
cana-1618	242	1	[	[	X
cana-1618	242	2	7	7	NUM
cana-1618	242	3	]	]	X
cana-1618	242	4	aditya	aditya	PROPN
cana-1618	242	5	,	,	PUNCT
cana-1618	242	6	k.	k.	PROPN
cana-1618	242	7	,	,	PUNCT
cana-1618	242	8	gysi	gysi	PROPN
cana-1618	242	9	,	,	PUNCT
cana-1618	242	10	t.	t.	PROPN
cana-1618	242	11	,	,	PUNCT
cana-1618	242	12	kwasniewski	kwasniewski	PROPN
cana-1618	242	13	,	,	PUNCT
cana-1618	242	14	g.	g.	PROPN
cana-1618	242	15	,	,	PUNCT
cana-1618	242	16	hoefler	hoefler	NOUN
cana-1618	242	17	,	,	PUNCT
cana-1618	242	18	t.	t.	PROPN
cana-1618	242	19	,	,	PUNCT
cana-1618	242	20	donzis	donzis	PROPN
cana-1618	242	21	,	,	PUNCT
cana-1618	242	22	d.	d.	PROPN
cana-1618	242	23	a.	a.	PROPN
cana-1618	242	24	,	,	PUNCT
cana-1618	242	25	&	&	CCONJ
cana-1618	242	26	chen	chen	PROPN
cana-1618	242	27	,	,	PUNCT
cana-1618	242	28	j.	j.	PROPN
cana-1618	242	29	h.	h.	PROPN
cana-1618	242	30	(	(	PUNCT
cana-1618	242	31	2019	2019	NUM
cana-1618	242	32	)	)	PUNCT
cana-1618	242	33	.	.	PUNCT
cana-1618	243	1	a	a	DET
cana-1618	243	2	scalable	scalable	ADJ
cana-1618	243	3	weaklysynchronous	weaklysynchronous	ADJ
cana-1618	243	4	algorithm	algorithm	NOUN
cana-1618	243	5	for	for	ADP
cana-1618	243	6	solving	solve	VERB
cana-1618	243	7	partial	partial	ADJ
cana-1618	243	8	differential	differential	ADJ
cana-1618	243	9	equations	equation	NOUN
cana-1618	243	10	.	.	PUNCT
cana-1618	244	1	arxiv	arxiv	PROPN
cana-1618	244	2	preprint	preprint	VERB
cana-1618	244	3	arxiv:1911.05769	arxiv:1911.05769	NOUN
cana-1618	244	4	.	.	PUNCT
cana-1618	245	1	[	[	X
cana-1618	245	2	8	8	NUM
cana-1618	245	3	]	]	X
cana-1618	245	4	lederman	lederman	NOUN
cana-1618	245	5	,	,	PUNCT
cana-1618	245	6	c.	c.	PROPN
cana-1618	245	7	,	,	PUNCT
cana-1618	245	8	martin	martin	PROPN
cana-1618	245	9	,	,	PUNCT
cana-1618	245	10	r.	r.	PROPN
cana-1618	245	11	,	,	PUNCT
cana-1618	245	12	&	&	CCONJ
cana-1618	245	13	cambier	cambier	PROPN
cana-1618	245	14	,	,	PUNCT
cana-1618	245	15	j.	j.	PROPN
cana-1618	245	16	l.	l.	PROPN
cana-1618	245	17	(	(	PUNCT
cana-1618	245	18	2018	2018	NUM
cana-1618	245	19	)	)	PUNCT
cana-1618	245	20	.	.	PUNCT
cana-1618	246	1	time	time	NOUN
cana-1618	246	2	-	-	PUNCT
cana-1618	246	3	parallel	parallel	ADJ
cana-1618	246	4	solutions	solution	NOUN
cana-1618	246	5	to	to	PART
cana-1618	246	6	differential	differential	VERB
cana-1618	246	7	equations	equation	NOUN
cana-1618	246	8	via	via	ADP
cana-1618	246	9	functional	functional	ADJ
cana-1618	246	10	optimization	optimization	NOUN
cana-1618	246	11	.	.	PUNCT
cana-1618	247	1	computational	computational	ADJ
cana-1618	247	2	and	and	CCONJ
cana-1618	247	3	applied	applied	ADJ
cana-1618	247	4	mathematics	mathematic	NOUN
cana-1618	247	5	,	,	PUNCT
cana-1618	247	6	37	37	NUM
cana-1618	247	7	,	,	PUNCT
cana-1618	247	8	27	27	NUM
cana-1618	247	9	-	-	SYM
cana-1618	247	10	51	51	NUM
cana-1618	247	11	.	.	PUNCT
cana-1618	248	1	[	[	X
cana-1618	248	2	9	9	NUM
cana-1618	248	3	]	]	X
cana-1618	248	4	magee	magee	PROPN
cana-1618	248	5	,	,	PUNCT
cana-1618	248	6	d.	d.	PROPN
cana-1618	248	7	j.	j.	PROPN
cana-1618	248	8	,	,	PUNCT
cana-1618	248	9	walker	walker	PROPN
cana-1618	248	10	,	,	PUNCT
cana-1618	248	11	a.	a.	PROPN
cana-1618	248	12	s.	s.	PROPN
cana-1618	248	13	,	,	PUNCT
cana-1618	248	14	&	&	CCONJ
cana-1618	248	15	niemeyer	niemeyer	PROPN
cana-1618	248	16	,	,	PUNCT
cana-1618	248	17	k.	k.	PROPN
cana-1618	248	18	e.	e.	PROPN
cana-1618	248	19	(	(	PUNCT
cana-1618	248	20	2021	2021	NUM
cana-1618	248	21	)	)	PUNCT
cana-1618	248	22	.	.	PUNCT
cana-1618	249	1	applying	apply	VERB
cana-1618	249	2	the	the	DET
cana-1618	249	3	swept	sweep	VERB
cana-1618	249	4	rule	rule	NOUN
cana-1618	249	5	for	for	ADP
cana-1618	249	6	solving	solve	VERB
cana-1618	249	7	explicit	explicit	ADJ
cana-1618	249	8	partial	partial	ADJ
cana-1618	249	9	differential	differential	ADJ
cana-1618	249	10	equations	equation	NOUN
cana-1618	249	11	on	on	ADP
cana-1618	249	12	heterogeneous	heterogeneous	ADJ
cana-1618	249	13	computing	computing	NOUN
cana-1618	249	14	systems	system	NOUN
cana-1618	249	15	.	.	PUNCT
cana-1618	250	1	the	the	DET
cana-1618	250	2	journal	journal	NOUN
cana-1618	250	3	of	of	ADP
cana-1618	250	4	supercomputing	supercomputing	NOUN
cana-1618	250	5	,	,	PUNCT
cana-1618	250	6	77	77	NUM
cana-1618	250	7	,	,	PUNCT
cana-1618	250	8	1976	1976	NUM
cana-1618	250	9	-	-	SYM
cana-1618	250	10	1997	1997	NUM
cana-1618	250	11	.	.	PUNCT
cana-1618	251	1	[	[	X
cana-1618	251	2	10	10	NUM
cana-1618	251	3	]	]	X
cana-1618	251	4	asgari	asgari	PROPN
cana-1618	251	5	,	,	PUNCT
cana-1618	251	6	b.	b.	PROPN
cana-1618	251	7	,	,	PUNCT
cana-1618	251	8	hadidi	hadidi	PROPN
cana-1618	251	9	,	,	PUNCT
cana-1618	251	10	r.	r.	PROPN
cana-1618	251	11	,	,	PUNCT
cana-1618	251	12	krishna	krishna	PROPN
cana-1618	251	13	,	,	PUNCT
cana-1618	251	14	t.	t.	PROPN
cana-1618	251	15	,	,	PUNCT
cana-1618	251	16	kim	kim	PROPN
cana-1618	251	17	,	,	PUNCT
cana-1618	251	18	h.	h.	PROPN
cana-1618	251	19	,	,	PUNCT
cana-1618	251	20	&	&	CCONJ
cana-1618	251	21	yalamanchili	yalamanchili	NOUN
cana-1618	251	22	,	,	PUNCT
cana-1618	251	23	s.	s.	PROPN
cana-1618	251	24	(	(	PUNCT
cana-1618	251	25	2021	2021	NUM
cana-1618	251	26	)	)	PUNCT
cana-1618	251	27	.	.	PUNCT
cana-1618	252	1	efficiently	efficiently	ADV
cana-1618	252	2	solving	solve	VERB
cana-1618	252	3	partial	partial	ADJ
cana-1618	252	4	differential	differential	ADJ
cana-1618	252	5	equations	equation	NOUN
cana-1618	252	6	in	in	ADP
cana-1618	252	7	a	a	DET
cana-1618	252	8	partially	partially	ADV
cana-1618	252	9	reconfigurable	reconfigurable	ADJ
cana-1618	252	10	specialized	specialized	ADJ
cana-1618	252	11	hardware	hardware	NOUN
cana-1618	252	12	.	.	PUNCT
cana-1618	253	1	ieee	ieee	NOUN
cana-1618	253	2	transactions	transaction	NOUN
cana-1618	253	3	on	on	ADP
cana-1618	253	4	computers	computer	NOUN
cana-1618	253	5	,	,	PUNCT
cana-1618	253	6	70(4	70(4	NUM
cana-1618	253	7	)	)	PUNCT
cana-1618	253	8	,	,	PUNCT
cana-1618	253	9	524	524	NUM
cana-1618	253	10	-	-	SYM
cana-1618	253	11	538	538	NUM
cana-1618	253	12	.	.	PUNCT
cana-1618	254	1	[	[	X
cana-1618	254	2	11	11	NUM
cana-1618	254	3	]	]	X
cana-1618	254	4	magoulès	magoulès	PROPN
cana-1618	254	5	,	,	PUNCT
cana-1618	254	6	f.	f.	PROPN
cana-1618	254	7	,	,	PUNCT
cana-1618	254	8	&	&	CCONJ
cana-1618	254	9	gbikpi	gbikpi	PROPN
cana-1618	254	10	-	-	PUNCT
cana-1618	254	11	benissan	benissan	PROPN
cana-1618	254	12	,	,	PUNCT
cana-1618	254	13	g.	g.	PROPN
cana-1618	254	14	(	(	PUNCT
cana-1618	254	15	2018	2018	NUM
cana-1618	254	16	)	)	PUNCT
cana-1618	254	17	.	.	PUNCT
cana-1618	255	1	asynchronous	asynchronous	ADJ
cana-1618	255	2	parareal	parareal	NOUN
cana-1618	255	3	time	time	NOUN
cana-1618	255	4	discretization	discretization	NOUN
cana-1618	255	5	for	for	ADP
cana-1618	255	6	partial	partial	ADJ
cana-1618	255	7	differential	differential	ADJ
cana-1618	255	8	equations	equation	NOUN
cana-1618	255	9	.	.	PUNCT
cana-1618	256	1	siam	siam	PROPN
cana-1618	256	2	journal	journal	PROPN
cana-1618	256	3	on	on	ADP
cana-1618	256	4	scientific	scientific	ADJ
cana-1618	256	5	computing	computing	NOUN
cana-1618	256	6	,	,	PUNCT
cana-1618	256	7	40(6	40(6	NOUN
cana-1618	256	8	)	)	PUNCT
cana-1618	256	9	,	,	PUNCT
cana-1618	256	10	c704	c704	PROPN
cana-1618	256	11	-	-	PUNCT
cana-1618	256	12	c725	c725	ADJ
cana-1618	256	13	.	.	PUNCT
cana-1618	257	1	[	[	X
cana-1618	257	2	12	12	NUM
cana-1618	257	3	]	]	X
cana-1618	257	4	chen	chen	PROPN
cana-1618	257	5	,	,	PUNCT
cana-1618	257	6	t.	t.	PROPN
cana-1618	257	7	,	,	PUNCT
cana-1618	257	8	botimer	botimer	PROPN
cana-1618	257	9	,	,	PUNCT
cana-1618	257	10	j.	j.	PROPN
cana-1618	257	11	,	,	PUNCT
cana-1618	257	12	chou	chou	NOUN
cana-1618	257	13	,	,	PUNCT
cana-1618	257	14	t.	t.	PROPN
cana-1618	257	15	,	,	PUNCT
cana-1618	257	16	&	&	CCONJ
cana-1618	257	17	zhang	zhang	PROPN
cana-1618	257	18	,	,	PUNCT
cana-1618	257	19	z.	z.	PROPN
cana-1618	257	20	(	(	PUNCT
cana-1618	257	21	2020	2020	NUM
cana-1618	257	22	)	)	PUNCT
cana-1618	257	23	.	.	PUNCT
cana-1618	258	1	a	a	DET
cana-1618	258	2	1.87	1.87	NUM
cana-1618	258	3	-	-	PUNCT
cana-1618	258	4	mm	mm	NOUN
cana-1618	258	5	2	2	NUM
cana-1618	258	6	56.9	56.9	NUM
cana-1618	258	7	-	-	PUNCT
cana-1618	258	8	gops	gop	NOUN
cana-1618	258	9	accelerator	accelerator	NOUN
cana-1618	258	10	for	for	ADP
cana-1618	258	11	solving	solve	VERB
cana-1618	258	12	partial	partial	ADJ
cana-1618	258	13	differential	differential	ADJ
cana-1618	258	14	equations	equation	NOUN
cana-1618	258	15	.	.	PUNCT
cana-1618	259	1	ieee	ieee	PROPN
cana-1618	259	2	journal	journal	PROPN
cana-1618	259	3	of	of	ADP
cana-1618	259	4	solid	solid	ADJ
cana-1618	259	5	-	-	PUNCT
cana-1618	259	6	state	state	NOUN
cana-1618	259	7	circuits	circuit	NOUN
cana-1618	259	8	,	,	PUNCT
cana-1618	259	9	55(6	55(6	NUM
cana-1618	259	10	)	)	PUNCT
cana-1618	259	11	,	,	PUNCT
cana-1618	259	12	1709	1709	NUM
cana-1618	259	13	-	-	SYM
cana-1618	259	14	1718	1718	NUM
cana-1618	259	15	.	.	PUNCT
cana-1618	260	1	[	[	X
cana-1618	260	2	13	13	NUM
cana-1618	260	3	]	]	X
cana-1618	260	4	carlson	carlson	PROPN
cana-1618	260	5	,	,	PUNCT
cana-1618	260	6	m.	m.	NOUN
cana-1618	260	7	,	,	PUNCT
cana-1618	260	8	kirby	kirby	PROPN
cana-1618	260	9	,	,	PUNCT
cana-1618	260	10	r.	r.	PROPN
cana-1618	260	11	m.	m.	PROPN
cana-1618	260	12	,	,	PUNCT
cana-1618	260	13	&	&	CCONJ
cana-1618	260	14	sundar	sundar	PROPN
cana-1618	260	15	,	,	PUNCT
cana-1618	260	16	h.	h.	PROPN
cana-1618	260	17	(	(	PUNCT
cana-1618	260	18	2020	2020	NUM
cana-1618	260	19	,	,	PUNCT
cana-1618	260	20	june	june	PROPN
cana-1618	260	21	)	)	PUNCT
cana-1618	260	22	.	.	PUNCT
cana-1618	261	1	a	a	DET
cana-1618	261	2	scalable	scalable	ADJ
cana-1618	261	3	framework	framework	NOUN
cana-1618	261	4	for	for	ADP
cana-1618	261	5	solving	solve	VERB
cana-1618	261	6	fractional	fractional	ADJ
cana-1618	261	7	diffusion	diffusion	NOUN
cana-1618	261	8	equations	equation	NOUN
cana-1618	261	9	.	.	PUNCT
cana-1618	262	1	in	in	ADP
cana-1618	262	2	proceedings	proceeding	NOUN
cana-1618	262	3	of	of	ADP
cana-1618	262	4	the	the	DET
cana-1618	262	5	34th	34th	ADJ
cana-1618	262	6	acm	acm	PROPN
cana-1618	262	7	international	international	ADJ
cana-1618	262	8	conference	conference	NOUN
cana-1618	262	9	on	on	ADP
cana-1618	262	10	supercomputing	supercompute	VERB
cana-1618	262	11	(	(	PUNCT
cana-1618	262	12	pp	pp	ADJ
cana-1618	262	13	.	.	PUNCT
cana-1618	263	1	1	1	NUM
cana-1618	263	2	-	-	SYM
cana-1618	263	3	11	11	NUM
cana-1618	263	4	)	)	PUNCT
cana-1618	263	5	.	.	PUNCT
cana-1618	264	1	[	[	X
cana-1618	264	2	14	14	NUM
cana-1618	264	3	]	]	X
cana-1618	264	4	fabiani	fabiani	PROPN
cana-1618	264	5	,	,	PUNCT
cana-1618	264	6	g.	g.	PROPN
cana-1618	264	7	,	,	PUNCT
cana-1618	264	8	calabrò	calabrò	PROPN
cana-1618	264	9	,	,	PUNCT
cana-1618	264	10	f.	f.	PROPN
cana-1618	264	11	,	,	PUNCT
cana-1618	264	12	russo	russo	PROPN
cana-1618	264	13	,	,	PUNCT
cana-1618	264	14	l.	l.	PROPN
cana-1618	264	15	,	,	PUNCT
cana-1618	264	16	&	&	CCONJ
cana-1618	264	17	siettos	siettos	PROPN
cana-1618	264	18	,	,	PUNCT
cana-1618	264	19	c.	c.	NOUN
cana-1618	264	20	(	(	PUNCT
cana-1618	264	21	2021	2021	NUM
cana-1618	264	22	)	)	PUNCT
cana-1618	264	23	.	.	PUNCT
cana-1618	265	1	numerical	numerical	ADJ
cana-1618	265	2	solution	solution	NOUN
cana-1618	265	3	and	and	CCONJ
cana-1618	265	4	bifurcation	bifurcation	NOUN
cana-1618	265	5	analysis	analysis	NOUN
cana-1618	265	6	of	of	ADP
cana-1618	265	7	nonlinear	nonlinear	ADJ
cana-1618	265	8	partial	partial	ADJ
cana-1618	265	9	differential	differential	ADJ
cana-1618	265	10	equations	equation	NOUN
cana-1618	265	11	with	with	ADP
cana-1618	265	12	extreme	extreme	ADJ
cana-1618	265	13	learning	learning	NOUN
cana-1618	265	14	machines	machine	NOUN
cana-1618	265	15	.	.	PUNCT
cana-1618	266	1	journal	journal	PROPN
cana-1618	266	2	of	of	ADP
cana-1618	266	3	scientific	scientific	ADJ
cana-1618	266	4	computing	computing	NOUN
cana-1618	266	5	,	,	PUNCT
cana-1618	266	6	89	89	NUM
cana-1618	266	7	,	,	PUNCT
cana-1618	266	8	1	1	NUM
cana-1618	266	9	-	-	SYM
cana-1618	266	10	35	35	NUM
cana-1618	266	11	.	.	PUNCT
cana-1618	267	1	[	[	X
cana-1618	267	2	15	15	NUM
cana-1618	267	3	]	]	X
cana-1618	267	4	gloster	gloster	NOUN
cana-1618	267	5	,	,	PUNCT
cana-1618	267	6	a.	a.	NOUN
cana-1618	267	7	(	(	PUNCT
cana-1618	267	8	2021	2021	NUM
cana-1618	267	9	)	)	PUNCT
cana-1618	267	10	.	.	PUNCT
cana-1618	268	1	gpu	gpu	NOUN
cana-1618	268	2	methodologies	methodology	NOUN
cana-1618	268	3	for	for	ADP
cana-1618	268	4	numerical	numerical	ADJ
cana-1618	268	5	partial	partial	ADJ
cana-1618	268	6	differential	differential	ADJ
cana-1618	268	7	equations	equation	NOUN
cana-1618	268	8	.	.	PUNCT
cana-1618	269	1	arxiv	arxiv	PROPN
cana-1618	269	2	preprint	preprint	PROPN
cana-1618	269	3	arxiv:2101.06550	arxiv:2101.06550	NOUN
cana-1618	269	4	.	.	PUNCT
cana-1618	270	1	[	[	X
cana-1618	270	2	16	16	NUM
cana-1618	270	3	]	]	X
cana-1618	270	4	mcdonald	mcdonald	PROPN
cana-1618	270	5	,	,	PUNCT
cana-1618	270	6	e.	e.	PROPN
cana-1618	270	7	,	,	PUNCT
cana-1618	270	8	pestana	pestana	PROPN
cana-1618	270	9	,	,	PUNCT
cana-1618	270	10	j.	j.	PROPN
cana-1618	270	11	,	,	PUNCT
cana-1618	270	12	&	&	CCONJ
cana-1618	270	13	wathen	wathen	PROPN
cana-1618	270	14	,	,	PUNCT
cana-1618	270	15	a.	a.	NOUN
cana-1618	270	16	(	(	PUNCT
cana-1618	270	17	2018	2018	NUM
cana-1618	270	18	)	)	PUNCT
cana-1618	270	19	.	.	PUNCT
cana-1618	271	1	preconditioning	precondition	VERB
cana-1618	271	2	and	and	CCONJ
cana-1618	271	3	iterative	iterative	NOUN
cana-1618	271	4	solution	solution	NOUN
cana-1618	271	5	of	of	ADP
cana-1618	271	6	all	all	DET
cana-1618	271	7	-	-	PUNCT
cana-1618	271	8	at	at	ADP
cana-1618	271	9	-	-	PUNCT
cana-1618	271	10	once	once	ADV
cana-1618	271	11	systems	system	NOUN
cana-1618	271	12	for	for	ADP
cana-1618	271	13	evolutionary	evolutionary	ADJ
cana-1618	271	14	partial	partial	ADJ
cana-1618	271	15	differential	differential	NOUN
cana-1618	271	16	equations	equation	NOUN
cana-1618	271	17	.	.	PUNCT
cana-1618	272	1	siam	siam	PROPN
cana-1618	272	2	journal	journal	PROPN
cana-1618	272	3	on	on	ADP
cana-1618	272	4	scientific	scientific	ADJ
cana-1618	272	5	computing	computing	NOUN
cana-1618	272	6	,	,	PUNCT
cana-1618	272	7	40(2	40(2	NUM
cana-1618	272	8	)	)	PUNCT
cana-1618	272	9	,	,	PUNCT
cana-1618	272	10	a1012	a1012	PROPN
cana-1618	272	11	-	-	PUNCT
cana-1618	272	12	a1033	a1033	PROPN
cana-1618	272	13	.	.	PUNCT
cana-1618	273	1	[	[	X
cana-1618	273	2	17	17	NUM
cana-1618	273	3	]	]	X
cana-1618	273	4	mastoi	mastoi	NOUN
cana-1618	273	5	,	,	PUNCT
cana-1618	273	6	s.	s.	PROPN
cana-1618	273	7	,	,	PUNCT
cana-1618	273	8	ganie	ganie	PROPN
cana-1618	273	9	,	,	PUNCT
cana-1618	273	10	a.	a.	PROPN
cana-1618	273	11	h.	h.	PROPN
cana-1618	273	12	,	,	PUNCT
cana-1618	273	13	saeed	saeed	PROPN
cana-1618	273	14	,	,	PUNCT
cana-1618	273	15	a.	a.	NOUN
cana-1618	273	16	m.	m.	NOUN
cana-1618	273	17	,	,	PUNCT
cana-1618	273	18	ali	ali	PROPN
cana-1618	273	19	,	,	PUNCT
cana-1618	273	20	u.	u.	PROPN
cana-1618	273	21	,	,	PUNCT
cana-1618	273	22	rajput	rajput	PROPN
cana-1618	273	23	,	,	PUNCT
cana-1618	273	24	u.	u.	PROPN
cana-1618	273	25	a.	a.	PROPN
cana-1618	273	26	,	,	PUNCT
cana-1618	273	27	&	&	CCONJ
cana-1618	273	28	mior	mior	PROPN
cana-1618	273	29	othman	othman	PROPN
cana-1618	273	30	,	,	PUNCT
cana-1618	273	31	w.	w.	PROPN
cana-1618	273	32	a.	a.	PROPN
cana-1618	273	33	(	(	PUNCT
cana-1618	273	34	2022	2022	NUM
cana-1618	273	35	)	)	PUNCT
cana-1618	273	36	.	.	PUNCT
cana-1618	274	1	numerical	numerical	ADJ
cana-1618	274	2	solution	solution	NOUN
cana-1618	274	3	for	for	ADP
cana-1618	274	4	two	two	NUM
cana-1618	274	5	-	-	PUNCT
cana-1618	274	6	dimensional	dimensional	ADJ
cana-1618	274	7	partial	partial	ADJ
cana-1618	274	8	differential	differential	NOUN
cana-1618	274	9	equations	equation	NOUN
cana-1618	274	10	using	use	VERB
cana-1618	274	11	sm	sm	PROPN
cana-1618	274	12	’s	’s	PART
cana-1618	274	13	method	method	NOUN
cana-1618	274	14	.	.	PUNCT
cana-1618	275	1	open	open	ADJ
cana-1618	275	2	physics	physics	PROPN
cana-1618	275	3	,	,	PUNCT
cana-1618	275	4	20(1	20(1	NUM
cana-1618	275	5	)	)	PUNCT
cana-1618	275	6	,	,	PUNCT
cana-1618	275	7	142	142	NUM
cana-1618	275	8	-	-	SYM
cana-1618	275	9	154	154	NUM
cana-1618	275	10	.	.	PUNCT
cana-1618	276	1	[	[	X
cana-1618	276	2	18	18	NUM
cana-1618	276	3	]	]	SYM
cana-1618	276	4	bähr	bähr	NOUN
cana-1618	276	5	,	,	PUNCT
cana-1618	276	6	m.	m.	NOUN
cana-1618	276	7	(	(	PUNCT
cana-1618	276	8	2021	2021	NUM
cana-1618	276	9	)	)	PUNCT
cana-1618	276	10	.	.	PUNCT
cana-1618	277	1	efficient	efficient	ADJ
cana-1618	277	2	time	time	NOUN
cana-1618	277	3	integration	integration	NOUN
cana-1618	277	4	methods	method	NOUN
cana-1618	277	5	for	for	ADP
cana-1618	277	6	linear	linear	ADJ
cana-1618	277	7	parabolic	parabolic	ADJ
cana-1618	277	8	partial	partial	ADJ
cana-1618	277	9	differential	differential	NOUN
cana-1618	277	10	equations	equation	NOUN
cana-1618	277	11	with	with	ADP
cana-1618	277	12	applications	application	NOUN
cana-1618	277	13	(	(	PUNCT
cana-1618	277	14	doctoral	doctoral	ADJ
cana-1618	277	15	dissertation	dissertation	NOUN
cana-1618	277	16	,	,	PUNCT
cana-1618	277	17	btu	btu	PROPN
cana-1618	277	18	cottbus	cottbus	PROPN
cana-1618	277	19	-	-	PUNCT
cana-1618	277	20	senftenberg	senftenberg	PROPN
cana-1618	277	21	)	)	PUNCT
cana-1618	277	22	.	.	PUNCT
cana-1618	278	1	[	[	X
cana-1618	278	2	19	19	NUM
cana-1618	278	3	]	]	X
cana-1618	278	4	shang	shang	PROPN
cana-1618	278	5	,	,	PUNCT
cana-1618	278	6	y.	y.	PROPN
cana-1618	278	7	,	,	PUNCT
cana-1618	278	8	wang	wang	PROPN
cana-1618	278	9	,	,	PUNCT
cana-1618	278	10	f.	f.	PROPN
cana-1618	278	11	,	,	PUNCT
cana-1618	278	12	&	&	CCONJ
cana-1618	278	13	sun	sun	PROPN
cana-1618	278	14	,	,	PUNCT
cana-1618	278	15	j.	j.	PROPN
cana-1618	278	16	(	(	PUNCT
cana-1618	278	17	2022	2022	NUM
cana-1618	278	18	)	)	PUNCT
cana-1618	278	19	.	.	PUNCT
cana-1618	279	1	deep	deep	ADJ
cana-1618	279	2	petrov	petrov	PROPN
cana-1618	279	3	-	-	PUNCT
cana-1618	279	4	galerkin	galerkin	PROPN
cana-1618	279	5	method	method	NOUN
cana-1618	279	6	for	for	ADP
cana-1618	279	7	solving	solve	VERB
cana-1618	279	8	partial	partial	ADJ
cana-1618	279	9	differential	differential	ADJ
cana-1618	279	10	equations	equation	NOUN
cana-1618	279	11	.	.	PUNCT
cana-1618	280	1	arxiv	arxiv	PROPN
cana-1618	280	2	preprint	preprint	VERB
cana-1618	280	3	arxiv:2201.12995	arxiv:2201.12995	ADJ
cana-1618	280	4	.	.	PUNCT
cana-1618	281	1	[	[	X
cana-1618	281	2	20	20	NUM
cana-1618	281	3	]	]	X
cana-1618	281	4	grady	grady	PROPN
cana-1618	281	5	,	,	PUNCT
cana-1618	281	6	t.	t.	PROPN
cana-1618	281	7	j.	j.	PROPN
cana-1618	281	8	,	,	PUNCT
cana-1618	281	9	khan	khan	PROPN
cana-1618	281	10	,	,	PUNCT
cana-1618	281	11	r.	r.	PROPN
cana-1618	281	12	,	,	PUNCT
cana-1618	281	13	louboutin	louboutin	PROPN
cana-1618	281	14	,	,	PUNCT
cana-1618	281	15	m.	m.	NOUN
cana-1618	281	16	,	,	PUNCT
cana-1618	281	17	yin	yin	PROPN
cana-1618	281	18	,	,	PUNCT
cana-1618	281	19	z.	z.	PROPN
cana-1618	281	20	,	,	PUNCT
cana-1618	281	21	witte	witte	PROPN
cana-1618	281	22	,	,	PUNCT
cana-1618	281	23	p.	p.	PROPN
cana-1618	281	24	a.	a.	PROPN
cana-1618	281	25	,	,	PUNCT
cana-1618	281	26	chandra	chandra	PROPN
cana-1618	281	27	,	,	PUNCT
cana-1618	281	28	r.	r.	PROPN
cana-1618	281	29	,	,	PUNCT
cana-1618	281	30	...	...	PUNCT
cana-1618	281	31	&	&	CCONJ
cana-1618	281	32	herrmann	herrmann	PROPN
cana-1618	281	33	,	,	PUNCT
cana-1618	281	34	f.	f.	PROPN
cana-1618	281	35	j.	j.	PROPN
cana-1618	281	36	(	(	PUNCT
cana-1618	281	37	2023	2023	NUM
cana-1618	281	38	)	)	PUNCT
cana-1618	281	39	.	.	PUNCT
cana-1618	282	1	model	model	NOUN
cana-1618	282	2	-	-	PUNCT
cana-1618	282	3	parallel	parallel	ADJ
cana-1618	282	4	fourier	fourier	NOUN
cana-1618	282	5	neural	neural	ADJ
cana-1618	282	6	operators	operator	NOUN
cana-1618	282	7	as	as	SCONJ
cana-1618	282	8	learned	learn	VERB
cana-1618	282	9	surrogates	surrogate	NOUN
cana-1618	282	10	for	for	ADP
cana-1618	282	11	large	large	ADJ
cana-1618	282	12	-	-	PUNCT
cana-1618	282	13	scale	scale	NOUN
cana-1618	282	14	parametric	parametric	ADJ
cana-1618	282	15	pdes	pde	NOUN
cana-1618	282	16	.	.	PUNCT
cana-1618	283	1	computers	computer	NOUN
cana-1618	283	2	&	&	CCONJ
cana-1618	283	3	geosciences	geoscience	NOUN
cana-1618	283	4	,	,	PUNCT
cana-1618	283	5	105402	105402	NUM
cana-1618	283	6	.	.	PUNCT
cana-1618	284	1	[	[	X
cana-1618	284	2	21	21	NUM
cana-1618	284	3	]	]	X
cana-1618	284	4	guo	guo	PROPN
cana-1618	284	5	,	,	PUNCT
cana-1618	284	6	y.	y.	PROPN
cana-1618	284	7	,	,	PUNCT
cana-1618	284	8	cao	cao	PROPN
cana-1618	284	9	,	,	PUNCT
cana-1618	284	10	x.	x.	PROPN
cana-1618	284	11	,	,	PUNCT
cana-1618	284	12	liu	liu	PROPN
cana-1618	284	13	,	,	PUNCT
cana-1618	284	14	b.	b.	PROPN
cana-1618	284	15	,	,	PUNCT
cana-1618	284	16	&	&	CCONJ
cana-1618	284	17	gao	gao	PROPN
cana-1618	284	18	,	,	PUNCT
cana-1618	284	19	m.	m.	NOUN
cana-1618	284	20	(	(	PUNCT
cana-1618	284	21	2020	2020	NUM
cana-1618	284	22	)	)	PUNCT
cana-1618	284	23	.	.	PUNCT
cana-1618	285	1	solving	solve	VERB
cana-1618	285	2	partial	partial	ADJ
cana-1618	285	3	differential	differential	ADJ
cana-1618	285	4	equations	equation	NOUN
cana-1618	285	5	using	use	VERB
cana-1618	285	6	deep	deep	ADJ
cana-1618	285	7	learning	learning	NOUN
cana-1618	285	8	and	and	CCONJ
cana-1618	285	9	physical	physical	ADJ
cana-1618	285	10	constraints	constraint	NOUN
cana-1618	285	11	.	.	PUNCT
cana-1618	286	1	applied	apply	VERB
cana-1618	286	2	sciences	science	NOUN
cana-1618	286	3	,	,	PUNCT
cana-1618	286	4	10(17	10(17	NUM
cana-1618	286	5	)	)	PUNCT
cana-1618	286	6	,	,	PUNCT
cana-1618	286	7	5917	5917	NUM
cana-1618	286	8	.	.	PUNCT