id	sid	tid	token	lemma	pos
ejpam-5892	1	1	european	european	PROPN
ejpam-5892	1	2	journal	journal	PROPN
ejpam-5892	1	3	of	of	ADP
ejpam-5892	1	4	pure	pure	ADJ
ejpam-5892	1	5	and	and	CCONJ
ejpam-5892	1	6	applied	applied	ADJ
ejpam-5892	1	7	mathematics	mathematic	NOUN
ejpam-5892	1	8	2025	2025	NUM
ejpam-5892	1	9	,	,	PUNCT
ejpam-5892	1	10	vol	vol	NOUN
ejpam-5892	1	11	.	.	PROPN
ejpam-5892	1	12	18	18	NUM
ejpam-5892	1	13	,	,	PUNCT
ejpam-5892	1	14	issue	issue	NOUN
ejpam-5892	1	15	2	2	NUM
ejpam-5892	1	16	,	,	PUNCT
ejpam-5892	1	17	article	article	NOUN
ejpam-5892	1	18	number	number	NOUN
ejpam-5892	1	19	5892	5892	NUM
ejpam-5892	1	20	issn	issn	PROPN
ejpam-5892	1	21	1307	1307	NUM
ejpam-5892	1	22	-	-	SYM
ejpam-5892	1	23	5543	5543	NUM
ejpam-5892	1	24	–	–	PUNCT
ejpam-5892	1	25	ejpam.com	ejpam.com	X
ejpam-5892	1	26	published	publish	VERB
ejpam-5892	1	27	by	by	ADP
ejpam-5892	1	28	new	new	PROPN
ejpam-5892	1	29	york	york	PROPN
ejpam-5892	1	30	business	business	PROPN
ejpam-5892	1	31	global	global	ADJ
ejpam-5892	1	32	qualitative	qualitative	ADJ
ejpam-5892	1	33	study	study	NOUN
ejpam-5892	1	34	on	on	ADP
ejpam-5892	1	35	finite	finite	ADJ
ejpam-5892	1	36	volume	volume	NOUN
ejpam-5892	1	37	method	method	NOUN
ejpam-5892	1	38	for	for	ADP
ejpam-5892	1	39	solving	solve	VERB
ejpam-5892	1	40	linear	linear	NOUN
ejpam-5892	1	41	and	and	CCONJ
ejpam-5892	2	1	nonlinear	nonlinear	ADJ
ejpam-5892	2	2	partial	partial	ADJ
ejpam-5892	2	3	differential	differential	ADJ
ejpam-5892	2	4	equations	equation	NOUN
ejpam-5892	2	5	thekra	thekra	PROPN
ejpam-5892	2	6	abdullah	abdullah	PROPN
ejpam-5892	2	7	fayez	fayez	PROPN
ejpam-5892	2	8	alfawaz1	alfawaz1	PROPN
ejpam-5892	2	9	,	,	PUNCT
ejpam-5892	2	10	abdulkafi	abdulkafi	PROPN
ejpam-5892	2	11	mohammed	mohammed	PROPN
ejpam-5892	2	12	saeed1,∗	saeed1,∗	PROPN
ejpam-5892	2	13	1	1	NUM
ejpam-5892	2	14	department	department	NOUN
ejpam-5892	2	15	of	of	ADP
ejpam-5892	2	16	mathematics	mathematic	NOUN
ejpam-5892	2	17	,	,	PUNCT
ejpam-5892	2	18	college	college	NOUN
ejpam-5892	2	19	of	of	ADP
ejpam-5892	2	20	science	science	NOUN
ejpam-5892	2	21	,	,	PUNCT
ejpam-5892	2	22	qassim	qassim	PROPN
ejpam-5892	2	23	university	university	PROPN
ejpam-5892	2	24	,	,	PUNCT
ejpam-5892	2	25	buraydah	buraydah	NOUN
ejpam-5892	2	26	,	,	PUNCT
ejpam-5892	2	27	kingdom	kingdom	NOUN
ejpam-5892	2	28	of	of	ADP
ejpam-5892	2	29	saudi	saudi	PROPN
ejpam-5892	2	30	arabia	arabia	PROPN
ejpam-5892	2	31	abstract	abstract	NOUN
ejpam-5892	2	32	.	.	PUNCT
ejpam-5892	3	1	numerous	numerous	ADJ
ejpam-5892	3	2	numerical	numerical	ADJ
ejpam-5892	3	3	solutions	solution	NOUN
ejpam-5892	3	4	have	have	AUX
ejpam-5892	3	5	been	be	AUX
ejpam-5892	3	6	developed	develop	VERB
ejpam-5892	3	7	over	over	ADP
ejpam-5892	3	8	the	the	DET
ejpam-5892	3	9	past	past	ADJ
ejpam-5892	3	10	decades	decade	NOUN
ejpam-5892	3	11	to	to	PART
ejpam-5892	3	12	provide	provide	VERB
ejpam-5892	3	13	suitable	suitable	ADJ
ejpam-5892	3	14	solutions	solution	NOUN
ejpam-5892	3	15	for	for	ADP
ejpam-5892	3	16	several	several	ADJ
ejpam-5892	3	17	types	type	NOUN
ejpam-5892	3	18	of	of	ADP
ejpam-5892	3	19	problems	problem	NOUN
ejpam-5892	3	20	in	in	ADP
ejpam-5892	3	21	computational	computational	ADJ
ejpam-5892	3	22	fluid	fluid	ADJ
ejpam-5892	3	23	dynamics	dynamic	NOUN
ejpam-5892	3	24	(	(	PUNCT
ejpam-5892	3	25	cfd	cfd	NOUN
ejpam-5892	3	26	)	)	PUNCT
ejpam-5892	3	27	.	.	PUNCT
ejpam-5892	4	1	the	the	DET
ejpam-5892	4	2	finite	finite	PROPN
ejpam-5892	4	3	volume	volume	NOUN
ejpam-5892	4	4	method	method	NOUN
ejpam-5892	4	5	(	(	PUNCT
ejpam-5892	4	6	fvm	fvm	ADV
ejpam-5892	4	7	)	)	PUNCT
ejpam-5892	4	8	is	be	AUX
ejpam-5892	4	9	a	a	DET
ejpam-5892	4	10	numerical	numerical	ADJ
ejpam-5892	4	11	technique	technique	NOUN
ejpam-5892	4	12	adopted	adopt	VERB
ejpam-5892	4	13	in	in	ADP
ejpam-5892	4	14	computational	computational	ADJ
ejpam-5892	4	15	fluid	fluid	ADJ
ejpam-5892	4	16	dynamics	dynamic	NOUN
ejpam-5892	4	17	to	to	PART
ejpam-5892	4	18	solve	solve	VERB
ejpam-5892	4	19	partial	partial	ADJ
ejpam-5892	4	20	differential	differential	NOUN
ejpam-5892	4	21	equations	equation	NOUN
ejpam-5892	4	22	representing	represent	VERB
ejpam-5892	4	23	conservation	conservation	NOUN
ejpam-5892	4	24	laws	law	NOUN
ejpam-5892	4	25	.	.	PUNCT
ejpam-5892	5	1	in	in	ADP
ejpam-5892	5	2	this	this	DET
ejpam-5892	5	3	article	article	NOUN
ejpam-5892	5	4	,	,	PUNCT
ejpam-5892	5	5	two	two	NUM
ejpam-5892	5	6	mathematical	mathematical	ADJ
ejpam-5892	5	7	models	model	NOUN
ejpam-5892	5	8	are	be	AUX
ejpam-5892	5	9	presented	present	VERB
ejpam-5892	5	10	:	:	PUNCT
ejpam-5892	5	11	one	one	NUM
ejpam-5892	5	12	for	for	ADP
ejpam-5892	5	13	the	the	DET
ejpam-5892	5	14	linear	linear	ADJ
ejpam-5892	5	15	advection	advection	NOUN
ejpam-5892	5	16	equation	equation	NOUN
ejpam-5892	5	17	and	and	CCONJ
ejpam-5892	5	18	another	another	PRON
ejpam-5892	5	19	for	for	ADP
ejpam-5892	5	20	the	the	DET
ejpam-5892	5	21	nonlinear	nonlinear	ADJ
ejpam-5892	5	22	burgers	burger	NOUN
ejpam-5892	5	23	’	'	PUNCT
ejpam-5892	5	24	equation	equation	NOUN
ejpam-5892	5	25	with	with	ADP
ejpam-5892	5	26	diffusion	diffusion	NOUN
ejpam-5892	5	27	,	,	PUNCT
ejpam-5892	5	28	along	along	ADP
ejpam-5892	5	29	with	with	ADP
ejpam-5892	5	30	various	various	ADJ
ejpam-5892	5	31	schemes	scheme	NOUN
ejpam-5892	5	32	of	of	ADP
ejpam-5892	5	33	the	the	DET
ejpam-5892	5	34	fvm	fvm	NOUN
ejpam-5892	5	35	.	.	PUNCT
ejpam-5892	6	1	furthermore	furthermore	ADV
ejpam-5892	6	2	,	,	PUNCT
ejpam-5892	6	3	numerical	numerical	ADJ
ejpam-5892	6	4	experiments	experiment	NOUN
ejpam-5892	6	5	will	will	AUX
ejpam-5892	6	6	be	be	AUX
ejpam-5892	6	7	conducted	conduct	VERB
ejpam-5892	6	8	for	for	ADP
ejpam-5892	6	9	several	several	ADJ
ejpam-5892	6	10	fvm	fvm	ADJ
ejpam-5892	6	11	schemes	scheme	NOUN
ejpam-5892	6	12	to	to	PART
ejpam-5892	6	13	demonstrate	demonstrate	VERB
ejpam-5892	6	14	the	the	DET
ejpam-5892	6	15	most	most	ADV
ejpam-5892	6	16	effective	effective	ADJ
ejpam-5892	6	17	approach	approach	NOUN
ejpam-5892	6	18	for	for	ADP
ejpam-5892	6	19	solving	solve	VERB
ejpam-5892	6	20	the	the	DET
ejpam-5892	6	21	studied	studied	ADJ
ejpam-5892	6	22	problem	problem	NOUN
ejpam-5892	6	23	.	.	PUNCT
ejpam-5892	7	1	2020	2020	NUM
ejpam-5892	7	2	mathematics	mathematic	NOUN
ejpam-5892	7	3	subject	subject	NOUN
ejpam-5892	7	4	classifications	classification	NOUN
ejpam-5892	7	5	:	:	PUNCT
ejpam-5892	7	6	76s05	76s05	NUM
ejpam-5892	7	7	,	,	PUNCT
ejpam-5892	7	8	76d10	76d10	NUM
ejpam-5892	7	9	,	,	PUNCT
ejpam-5892	7	10	80a32	80a32	NUM
ejpam-5892	7	11	,	,	PUNCT
ejpam-5892	7	12	35q79	35q79	NUM
ejpam-5892	7	13	key	key	ADJ
ejpam-5892	7	14	words	word	NOUN
ejpam-5892	7	15	and	and	CCONJ
ejpam-5892	7	16	phrases	phrase	NOUN
ejpam-5892	7	17	:	:	PUNCT
ejpam-5892	7	18	linear	linear	ADJ
ejpam-5892	7	19	advection	advection	NOUN
ejpam-5892	7	20	equation	equation	NOUN
ejpam-5892	7	21	,	,	PUNCT
ejpam-5892	7	22	nonlinear	nonlinear	ADJ
ejpam-5892	7	23	burgers	burger	NOUN
ejpam-5892	7	24	’	'	PUNCT
ejpam-5892	7	25	equation	equation	NOUN
ejpam-5892	7	26	,	,	PUNCT
ejpam-5892	7	27	finite	finite	ADJ
ejpam-5892	7	28	volume	volume	NOUN
ejpam-5892	7	29	method	method	NOUN
ejpam-5892	7	30	,	,	PUNCT
ejpam-5892	7	31	computational	computational	ADJ
ejpam-5892	7	32	fluid	fluid	ADJ
ejpam-5892	7	33	dynamics	dynamic	NOUN
ejpam-5892	7	34	,	,	PUNCT
ejpam-5892	7	35	error	error	NOUN
ejpam-5892	7	36	analysis	analysis	NOUN
ejpam-5892	7	37	1	1	NUM
ejpam-5892	7	38	.	.	PUNCT
ejpam-5892	8	1	introduction	introduction	NOUN
ejpam-5892	8	2	computational	computational	ADJ
ejpam-5892	8	3	fluid	fluid	NOUN
ejpam-5892	8	4	dynamics	dynamic	NOUN
ejpam-5892	8	5	(	(	PUNCT
ejpam-5892	8	6	cfd	cfd	NOUN
ejpam-5892	8	7	)	)	PUNCT
ejpam-5892	8	8	is	be	AUX
ejpam-5892	8	9	the	the	DET
ejpam-5892	8	10	analysis	analysis	NOUN
ejpam-5892	8	11	of	of	ADP
ejpam-5892	8	12	systems	system	NOUN
ejpam-5892	8	13	involving	involve	VERB
ejpam-5892	8	14	fluid	fluid	ADJ
ejpam-5892	8	15	flow	flow	NOUN
ejpam-5892	8	16	,	,	PUNCT
ejpam-5892	8	17	heat	heat	NOUN
ejpam-5892	8	18	transfer	transfer	NOUN
ejpam-5892	8	19	,	,	PUNCT
ejpam-5892	8	20	and	and	CCONJ
ejpam-5892	8	21	associated	associate	VERB
ejpam-5892	8	22	phenomena	phenomenon	NOUN
ejpam-5892	8	23	such	such	ADJ
ejpam-5892	8	24	as	as	ADP
ejpam-5892	8	25	chemical	chemical	ADJ
ejpam-5892	8	26	reactions	reaction	NOUN
ejpam-5892	8	27	using	use	VERB
ejpam-5892	8	28	computer	computer	NOUN
ejpam-5892	8	29	-	-	PUNCT
ejpam-5892	8	30	based	base	VERB
ejpam-5892	8	31	simulation	simulation	NOUN
ejpam-5892	8	32	.	.	PUNCT
ejpam-5892	9	1	this	this	DET
ejpam-5892	9	2	powerful	powerful	ADJ
ejpam-5892	9	3	technique	technique	NOUN
ejpam-5892	9	4	is	be	AUX
ejpam-5892	9	5	applied	apply	VERB
ejpam-5892	9	6	across	across	ADP
ejpam-5892	9	7	a	a	DET
ejpam-5892	9	8	broad	broad	ADJ
ejpam-5892	9	9	spectrum	spectrum	NOUN
ejpam-5892	9	10	of	of	ADP
ejpam-5892	9	11	both	both	CCONJ
ejpam-5892	9	12	industrial	industrial	ADJ
ejpam-5892	9	13	and	and	CCONJ
ejpam-5892	9	14	non	non	ADJ
ejpam-5892	9	15	-	-	ADJ
ejpam-5892	9	16	industrial	industrial	ADJ
ejpam-5892	9	17	fields	field	NOUN
ejpam-5892	9	18	[	[	X
ejpam-5892	9	19	1	1	NUM
ejpam-5892	9	20	]	]	PUNCT
ejpam-5892	9	21	.	.	PUNCT
ejpam-5892	10	1	the	the	DET
ejpam-5892	10	2	finite	finite	PROPN
ejpam-5892	10	3	volume	volume	NOUN
ejpam-5892	10	4	method	method	NOUN
ejpam-5892	10	5	(	(	PUNCT
ejpam-5892	10	6	fvm	fvm	ADV
ejpam-5892	10	7	)	)	PUNCT
ejpam-5892	10	8	is	be	AUX
ejpam-5892	10	9	a	a	DET
ejpam-5892	10	10	numerical	numerical	ADJ
ejpam-5892	10	11	approach	approach	NOUN
ejpam-5892	10	12	that	that	PRON
ejpam-5892	10	13	converts	convert	VERB
ejpam-5892	10	14	partial	partial	ADJ
ejpam-5892	10	15	differential	differential	NOUN
ejpam-5892	10	16	equations	equation	NOUN
ejpam-5892	10	17	,	,	PUNCT
ejpam-5892	10	18	which	which	PRON
ejpam-5892	10	19	describe	describe	VERB
ejpam-5892	10	20	conservation	conservation	NOUN
ejpam-5892	10	21	laws	law	NOUN
ejpam-5892	10	22	over	over	ADP
ejpam-5892	10	23	infinitesimal	infinitesimal	ADJ
ejpam-5892	10	24	volumes	volume	NOUN
ejpam-5892	10	25	,	,	PUNCT
ejpam-5892	10	26	into	into	ADP
ejpam-5892	10	27	discrete	discrete	ADJ
ejpam-5892	10	28	algebraic	algebraic	ADJ
ejpam-5892	10	29	equations	equation	NOUN
ejpam-5892	10	30	for	for	ADP
ejpam-5892	10	31	finite	finite	ADJ
ejpam-5892	10	32	volumes	volume	NOUN
ejpam-5892	10	33	.	.	PUNCT
ejpam-5892	11	1	it	it	PRON
ejpam-5892	11	2	has	have	AUX
ejpam-5892	11	3	evolved	evolve	VERB
ejpam-5892	11	4	to	to	PART
ejpam-5892	11	5	address	address	VERB
ejpam-5892	11	6	complex	complex	ADJ
ejpam-5892	11	7	situations	situation	NOUN
ejpam-5892	11	8	in	in	ADP
ejpam-5892	11	9	computational	computational	ADJ
ejpam-5892	11	10	fluid	fluid	ADJ
ejpam-5892	11	11	dynamics	dynamic	NOUN
ejpam-5892	11	12	and	and	CCONJ
ejpam-5892	11	13	has	have	AUX
ejpam-5892	11	14	been	be	AUX
ejpam-5892	11	15	adapted	adapt	VERB
ejpam-5892	11	16	to	to	PART
ejpam-5892	11	17	study	study	VERB
ejpam-5892	11	18	intricate	intricate	ADJ
ejpam-5892	11	19	physical	physical	ADJ
ejpam-5892	11	20	phenomena	phenomenon	NOUN
ejpam-5892	11	21	,	,	PUNCT
ejpam-5892	11	22	including	include	VERB
ejpam-5892	11	23	magneto	magneto	NOUN
ejpam-5892	11	24	-	-	PUNCT
ejpam-5892	11	25	elastic	elastic	ADJ
ejpam-5892	11	26	semiconductor	semiconductor	NOUN
ejpam-5892	11	27	interactions	interaction	NOUN
ejpam-5892	12	1	[	[	X
ejpam-5892	12	2	2	2	NUM
ejpam-5892	12	3	]	]	PUNCT
ejpam-5892	12	4	,	,	PUNCT
ejpam-5892	12	5	wave	wave	NOUN
ejpam-5892	12	6	interactions	interaction	NOUN
ejpam-5892	12	7	in	in	ADP
ejpam-5892	12	8	functionally	functionally	ADV
ejpam-5892	12	9	graded	grade	VERB
ejpam-5892	12	10	materials	material	NOUN
ejpam-5892	13	1	[	[	X
ejpam-5892	13	2	3	3	NUM
ejpam-5892	13	3	]	]	PUNCT
ejpam-5892	13	4	,	,	PUNCT
ejpam-5892	13	5	and	and	CCONJ
ejpam-5892	13	6	solitary	solitary	ADJ
ejpam-5892	13	7	wave	wave	NOUN
ejpam-5892	13	8	solutions	solution	NOUN
ejpam-5892	13	9	in	in	ADP
ejpam-5892	13	10	plasma	plasma	NOUN
ejpam-5892	13	11	physics	physics	NOUN
ejpam-5892	14	1	[	[	X
ejpam-5892	14	2	4	4	NUM
ejpam-5892	14	3	]	]	PUNCT
ejpam-5892	14	4	.	.	PUNCT
ejpam-5892	15	1	the	the	DET
ejpam-5892	15	2	fvm	fvm	ADJ
ejpam-5892	15	3	process	process	NOUN
ejpam-5892	15	4	includes	include	VERB
ejpam-5892	15	5	a	a	DET
ejpam-5892	15	6	range	range	NOUN
ejpam-5892	15	7	of	of	ADP
ejpam-5892	15	8	computational	computational	ADJ
ejpam-5892	15	9	complexities	complexity	NOUN
ejpam-5892	15	10	,	,	PUNCT
ejpam-5892	15	11	from	from	ADP
ejpam-5892	15	12	mesh	mesh	NOUN
ejpam-5892	15	13	generation	generation	NOUN
ejpam-5892	15	14	to	to	ADP
ejpam-5892	15	15	the	the	DET
ejpam-5892	15	16	application	application	NOUN
ejpam-5892	15	17	of	of	ADP
ejpam-5892	15	18	boundary	boundary	ADJ
ejpam-5892	15	19	conditions	condition	NOUN
ejpam-5892	15	20	[	[	X
ejpam-5892	15	21	1	1	NUM
ejpam-5892	15	22	]	]	PUNCT
ejpam-5892	15	23	.	.	PUNCT
ejpam-5892	16	1	∗corresponding	∗corresponde	VERB
ejpam-5892	16	2	author	author	NOUN
ejpam-5892	16	3	.	.	PUNCT
ejpam-5892	17	1	doi	doi	NOUN
ejpam-5892	17	2	:	:	PUNCT
ejpam-5892	17	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5892	https://doi.org/10.29020/nybg.ejpam.v18i2.5892	NOUN
ejpam-5892	17	4	email	email	NOUN
ejpam-5892	17	5	addresses	address	NOUN
ejpam-5892	17	6	:	:	PUNCT
ejpam-5892	17	7	441212381@qu.edu.sa	441212381@qu.edu.sa	PROPN
ejpam-5892	17	8	(	(	PUNCT
ejpam-5892	17	9	t.	t.	NOUN
ejpam-5892	17	10	alfawaz	alfawaz	NOUN
ejpam-5892	17	11	)	)	PUNCT
ejpam-5892	17	12	,	,	PUNCT
ejpam-5892	17	13	abdulkafi.ahmed@qu.edu.sa	abdulkafi.ahmed@qu.edu.sa	PROPN
ejpam-5892	17	14	(	(	PUNCT
ejpam-5892	17	15	a.m.	a.m.	PROPN
ejpam-5892	17	16	saeed	saeed	PROPN
ejpam-5892	17	17	)	)	PUNCT
ejpam-5892	17	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5892	18	1	1	1	NUM
ejpam-5892	18	2	copyright	copyright	NOUN
ejpam-5892	18	3	:	:	PUNCT
ejpam-5892	18	4	©	©	PROPN
ejpam-5892	18	5	2025	2025	NUM
ejpam-5892	18	6	the	the	DET
ejpam-5892	18	7	author(s	author(s	NOUN
ejpam-5892	18	8	)	)	PUNCT
ejpam-5892	18	9	.	.	PUNCT
ejpam-5892	19	1	(	(	PUNCT
ejpam-5892	19	2	cc	cc	NOUN
ejpam-5892	19	3	by	by	ADP
ejpam-5892	19	4	-	-	PUNCT
ejpam-5892	19	5	nc	nc	PROPN
ejpam-5892	19	6	4.0	4.0	NUM
ejpam-5892	19	7	)	)	PUNCT
ejpam-5892	19	8	t.	t.	NOUN
ejpam-5892	19	9	alfawaz	alfawaz	NOUN
ejpam-5892	19	10	,	,	PUNCT
ejpam-5892	19	11	a.m.	a.m.	PROPN
ejpam-5892	19	12	saeed	saeed	PROPN
ejpam-5892	19	13	/	/	SYM
ejpam-5892	19	14	eur	eur	PROPN
ejpam-5892	19	15	.	.	PUNCT
ejpam-5892	20	1	j.	j.	PROPN
ejpam-5892	20	2	pure	pure	PROPN
ejpam-5892	20	3	appl	appl	PROPN
ejpam-5892	20	4	.	.	PROPN
ejpam-5892	20	5	math	math	PROPN
ejpam-5892	20	6	,	,	PUNCT
ejpam-5892	20	7	18	18	NUM
ejpam-5892	20	8	(	(	PUNCT
ejpam-5892	20	9	2	2	NUM
ejpam-5892	20	10	)	)	PUNCT
ejpam-5892	20	11	(	(	PUNCT
ejpam-5892	20	12	2025	2025	NUM
ejpam-5892	20	13	)	)	PUNCT
ejpam-5892	20	14	,	,	PUNCT
ejpam-5892	20	15	5892	5892	NUM
ejpam-5892	20	16	2	2	NUM
ejpam-5892	20	17	of	of	ADP
ejpam-5892	20	18	17	17	NUM
ejpam-5892	20	19	the	the	DET
ejpam-5892	20	20	finite	finite	PROPN
ejpam-5892	20	21	volume	volume	NOUN
ejpam-5892	20	22	method	method	NOUN
ejpam-5892	20	23	has	have	AUX
ejpam-5892	20	24	been	be	AUX
ejpam-5892	20	25	used	use	VERB
ejpam-5892	20	26	by	by	ADP
ejpam-5892	20	27	researchers	researcher	NOUN
ejpam-5892	20	28	to	to	PART
ejpam-5892	20	29	solve	solve	VERB
ejpam-5892	20	30	numerous	numerous	ADJ
ejpam-5892	20	31	problems	problem	NOUN
ejpam-5892	20	32	related	relate	VERB
ejpam-5892	20	33	to	to	ADP
ejpam-5892	20	34	computational	computational	ADJ
ejpam-5892	20	35	fluid	fluid	ADJ
ejpam-5892	20	36	dynamics	dynamic	NOUN
ejpam-5892	20	37	,	,	PUNCT
ejpam-5892	20	38	as	as	ADP
ejpam-5892	20	39	in	in	ADP
ejpam-5892	20	40	the	the	DET
ejpam-5892	20	41	development	development	NOUN
ejpam-5892	20	42	of	of	ADP
ejpam-5892	20	43	an	an	DET
ejpam-5892	20	44	arbitrary	arbitrary	ADJ
ejpam-5892	20	45	lagrangianeulerian	lagrangianeulerian	ADJ
ejpam-5892	20	46	formulation	formulation	NOUN
ejpam-5892	20	47	for	for	ADP
ejpam-5892	20	48	compressible	compressible	ADJ
ejpam-5892	20	49	flows	flow	NOUN
ejpam-5892	20	50	based	base	VERB
ejpam-5892	20	51	on	on	ADP
ejpam-5892	20	52	the	the	DET
ejpam-5892	20	53	multi	multi	ADJ
ejpam-5892	20	54	-	-	ADJ
ejpam-5892	20	55	moment	moment	ADJ
ejpam-5892	20	56	finite	finite	ADJ
ejpam-5892	20	57	volume	volume	NOUN
ejpam-5892	20	58	method	method	NOUN
ejpam-5892	20	59	[	[	X
ejpam-5892	20	60	5	5	NUM
ejpam-5892	20	61	]	]	PUNCT
ejpam-5892	20	62	.	.	PUNCT
ejpam-5892	21	1	in	in	ADP
ejpam-5892	21	2	addition	addition	NOUN
ejpam-5892	21	3	,	,	PUNCT
ejpam-5892	21	4	fvm	fvm	ADJ
ejpam-5892	21	5	is	be	AUX
ejpam-5892	21	6	used	use	VERB
ejpam-5892	21	7	to	to	PART
ejpam-5892	21	8	describe	describe	VERB
ejpam-5892	21	9	the	the	DET
ejpam-5892	21	10	navier	navier	NOUN
ejpam-5892	21	11	-	-	PUNCT
ejpam-5892	21	12	stokes	stoke	NOUN
ejpam-5892	21	13	equations	equation	NOUN
ejpam-5892	21	14	and	and	CCONJ
ejpam-5892	21	15	their	their	PRON
ejpam-5892	21	16	solutions	solution	NOUN
ejpam-5892	22	1	[	[	X
ejpam-5892	22	2	6	6	NUM
ejpam-5892	22	3	,	,	PUNCT
ejpam-5892	22	4	7	7	NUM
ejpam-5892	22	5	]	]	PUNCT
ejpam-5892	22	6	and	and	CCONJ
ejpam-5892	22	7	in	in	ADP
ejpam-5892	22	8	incompressible	incompressible	ADJ
ejpam-5892	22	9	flow	flow	NOUN
ejpam-5892	22	10	problems	problem	NOUN
ejpam-5892	22	11	which	which	PRON
ejpam-5892	22	12	cover	cover	VERB
ejpam-5892	22	13	a	a	DET
ejpam-5892	22	14	wide	wide	ADJ
ejpam-5892	22	15	range	range	NOUN
ejpam-5892	22	16	of	of	ADP
ejpam-5892	22	17	physical	physical	ADJ
ejpam-5892	22	18	phenomena	phenomenon	NOUN
ejpam-5892	22	19	such	such	ADJ
ejpam-5892	22	20	as	as	ADP
ejpam-5892	22	21	environmental	environmental	ADJ
ejpam-5892	22	22	and	and	CCONJ
ejpam-5892	22	23	geophysical	geophysical	ADJ
ejpam-5892	22	24	flows	flow	NOUN
ejpam-5892	22	25	and	and	CCONJ
ejpam-5892	22	26	the	the	DET
ejpam-5892	22	27	dynamics	dynamic	NOUN
ejpam-5892	22	28	of	of	ADP
ejpam-5892	22	29	mechanical	mechanical	ADJ
ejpam-5892	22	30	processes	process	NOUN
ejpam-5892	22	31	[	[	X
ejpam-5892	22	32	8	8	NUM
ejpam-5892	22	33	,	,	PUNCT
ejpam-5892	22	34	9	9	NUM
ejpam-5892	22	35	]	]	PUNCT
ejpam-5892	22	36	.	.	PUNCT
ejpam-5892	23	1	in	in	ADP
ejpam-5892	23	2	the	the	DET
ejpam-5892	23	3	fvm	fvm	ADJ
ejpam-5892	23	4	,	,	PUNCT
ejpam-5892	23	5	different	different	ADJ
ejpam-5892	23	6	schemes	scheme	NOUN
ejpam-5892	23	7	exhibit	exhibit	VERB
ejpam-5892	23	8	unique	unique	ADJ
ejpam-5892	23	9	characteristics	characteristic	NOUN
ejpam-5892	23	10	,	,	PUNCT
ejpam-5892	23	11	such	such	ADJ
ejpam-5892	23	12	as	as	ADP
ejpam-5892	23	13	conservativeness	conservativeness	NOUN
ejpam-5892	23	14	,	,	PUNCT
ejpam-5892	23	15	boundedness	boundedness	NOUN
ejpam-5892	23	16	,	,	PUNCT
ejpam-5892	23	17	and	and	CCONJ
ejpam-5892	23	18	transportiveness	transportiveness	NOUN
ejpam-5892	23	19	.	.	PUNCT
ejpam-5892	24	1	examples	example	NOUN
ejpam-5892	24	2	of	of	ADP
ejpam-5892	24	3	these	these	DET
ejpam-5892	24	4	schemes	scheme	NOUN
ejpam-5892	24	5	include	include	VERB
ejpam-5892	24	6	upwind	upwind	NOUN
ejpam-5892	24	7	differencing	difference	VERB
ejpam-5892	24	8	scheme	scheme	NOUN
ejpam-5892	24	9	,	,	PUNCT
ejpam-5892	24	10	central	central	ADJ
ejpam-5892	24	11	differencing	difference	VERB
ejpam-5892	24	12	scheme	scheme	NOUN
ejpam-5892	24	13	,	,	PUNCT
ejpam-5892	24	14	essentially	essentially	ADV
ejpam-5892	24	15	nonoscillatory	nonoscillatory	ADJ
ejpam-5892	24	16	(	(	PUNCT
ejpam-5892	24	17	eno	eno	PROPN
ejpam-5892	24	18	)	)	PUNCT
ejpam-5892	24	19	scheme	scheme	NOUN
ejpam-5892	24	20	,	,	PUNCT
ejpam-5892	24	21	and	and	CCONJ
ejpam-5892	24	22	other	other	ADJ
ejpam-5892	24	23	related	related	ADJ
ejpam-5892	24	24	schemes	scheme	NOUN
ejpam-5892	24	25	[	[	X
ejpam-5892	24	26	10	10	NUM
ejpam-5892	24	27	,	,	PUNCT
ejpam-5892	24	28	11	11	NUM
ejpam-5892	24	29	]	]	PUNCT
ejpam-5892	24	30	.	.	PUNCT
ejpam-5892	25	1	the	the	DET
ejpam-5892	25	2	main	main	ADJ
ejpam-5892	25	3	purpose	purpose	NOUN
ejpam-5892	25	4	of	of	ADP
ejpam-5892	25	5	this	this	DET
ejpam-5892	25	6	paper	paper	NOUN
ejpam-5892	25	7	is	be	AUX
ejpam-5892	25	8	to	to	PART
ejpam-5892	25	9	investigate	investigate	VERB
ejpam-5892	25	10	the	the	DET
ejpam-5892	25	11	most	most	ADV
ejpam-5892	25	12	efficient	efficient	ADJ
ejpam-5892	25	13	schemes	scheme	NOUN
ejpam-5892	25	14	in	in	ADP
ejpam-5892	25	15	the	the	DET
ejpam-5892	25	16	finite	finite	ADJ
ejpam-5892	25	17	volume	volume	NOUN
ejpam-5892	25	18	method	method	NOUN
ejpam-5892	25	19	to	to	PART
ejpam-5892	25	20	solve	solve	VERB
ejpam-5892	25	21	a	a	DET
ejpam-5892	25	22	one	one	NUM
ejpam-5892	25	23	-	-	PUNCT
ejpam-5892	25	24	dimensional	dimensional	ADJ
ejpam-5892	25	25	linear	linear	ADJ
ejpam-5892	25	26	advection	advection	NOUN
ejpam-5892	25	27	equation	equation	NOUN
ejpam-5892	25	28	and	and	CCONJ
ejpam-5892	25	29	a	a	DET
ejpam-5892	25	30	twodimensional	twodimensional	ADJ
ejpam-5892	25	31	nonlinear	nonlinear	ADJ
ejpam-5892	25	32	burgers	burger	NOUN
ejpam-5892	25	33	’	'	PUNCT
ejpam-5892	25	34	equation	equation	NOUN
ejpam-5892	25	35	with	with	ADP
ejpam-5892	25	36	diffusion	diffusion	NOUN
ejpam-5892	25	37	.	.	PUNCT
ejpam-5892	26	1	the	the	DET
ejpam-5892	26	2	fvm	fvm	ADJ
ejpam-5892	26	3	will	will	AUX
ejpam-5892	26	4	be	be	AUX
ejpam-5892	26	5	formulated	formulate	VERB
ejpam-5892	26	6	and	and	CCONJ
ejpam-5892	26	7	applied	apply	VERB
ejpam-5892	26	8	to	to	PART
ejpam-5892	26	9	solve	solve	VERB
ejpam-5892	26	10	these	these	DET
ejpam-5892	26	11	problems	problem	NOUN
ejpam-5892	26	12	,	,	PUNCT
ejpam-5892	26	13	and	and	CCONJ
ejpam-5892	26	14	numerical	numerical	ADJ
ejpam-5892	26	15	experiments	experiment	NOUN
ejpam-5892	26	16	will	will	AUX
ejpam-5892	26	17	be	be	AUX
ejpam-5892	26	18	performed	perform	VERB
ejpam-5892	26	19	to	to	PART
ejpam-5892	26	20	compare	compare	VERB
ejpam-5892	26	21	the	the	DET
ejpam-5892	26	22	approximate	approximate	ADJ
ejpam-5892	26	23	solutions	solution	NOUN
ejpam-5892	26	24	with	with	ADP
ejpam-5892	26	25	the	the	DET
ejpam-5892	26	26	exact	exact	ADJ
ejpam-5892	26	27	ones	one	NOUN
ejpam-5892	26	28	.	.	PUNCT
ejpam-5892	27	1	the	the	DET
ejpam-5892	27	2	following	follow	VERB
ejpam-5892	27	3	is	be	AUX
ejpam-5892	27	4	the	the	DET
ejpam-5892	27	5	outline	outline	NOUN
ejpam-5892	27	6	of	of	ADP
ejpam-5892	27	7	this	this	DET
ejpam-5892	27	8	paper	paper	NOUN
ejpam-5892	27	9	:	:	PUNCT
ejpam-5892	27	10	in	in	ADP
ejpam-5892	27	11	section	section	NOUN
ejpam-5892	27	12	2	2	NUM
ejpam-5892	27	13	,	,	PUNCT
ejpam-5892	27	14	the	the	DET
ejpam-5892	27	15	central	central	ADJ
ejpam-5892	27	16	differencing	difference	VERB
ejpam-5892	27	17	scheme	scheme	NOUN
ejpam-5892	27	18	is	be	AUX
ejpam-5892	27	19	introduced	introduce	VERB
ejpam-5892	27	20	,	,	PUNCT
ejpam-5892	27	21	followed	follow	VERB
ejpam-5892	27	22	by	by	ADP
ejpam-5892	27	23	section	section	NOUN
ejpam-5892	27	24	3	3	NUM
ejpam-5892	27	25	,	,	PUNCT
ejpam-5892	27	26	which	which	PRON
ejpam-5892	27	27	covers	cover	VERB
ejpam-5892	27	28	the	the	DET
ejpam-5892	27	29	upwind	upwind	NOUN
ejpam-5892	27	30	differencing	difference	VERB
ejpam-5892	27	31	scheme	scheme	NOUN
ejpam-5892	27	32	.	.	PUNCT
ejpam-5892	28	1	section	section	NOUN
ejpam-5892	28	2	4	4	NUM
ejpam-5892	28	3	presents	present	VERB
ejpam-5892	28	4	a	a	DET
ejpam-5892	28	5	brief	brief	ADJ
ejpam-5892	28	6	description	description	NOUN
ejpam-5892	28	7	of	of	ADP
ejpam-5892	28	8	the	the	DET
ejpam-5892	28	9	essentially	essentially	ADV
ejpam-5892	28	10	non	non	ADJ
ejpam-5892	28	11	-	-	ADJ
ejpam-5892	28	12	oscillatory	oscillatory	ADJ
ejpam-5892	28	13	(	(	PUNCT
ejpam-5892	28	14	eno	eno	PROPN
ejpam-5892	28	15	)	)	PUNCT
ejpam-5892	28	16	scheme	scheme	NOUN
ejpam-5892	28	17	,	,	PUNCT
ejpam-5892	28	18	and	and	CCONJ
ejpam-5892	28	19	section	section	NOUN
ejpam-5892	28	20	5	5	NUM
ejpam-5892	28	21	details	detail	NOUN
ejpam-5892	28	22	the	the	DET
ejpam-5892	28	23	weighted	weight	VERB
ejpam-5892	28	24	essentially	essentially	ADV
ejpam-5892	28	25	non	non	ADJ
ejpam-5892	28	26	-	-	ADJ
ejpam-5892	28	27	oscillatory	oscillatory	ADJ
ejpam-5892	28	28	(	(	PUNCT
ejpam-5892	28	29	weno	weno	ADJ
ejpam-5892	28	30	)	)	PUNCT
ejpam-5892	28	31	scheme	scheme	NOUN
ejpam-5892	28	32	.	.	PUNCT
ejpam-5892	29	1	section	section	NOUN
ejpam-5892	29	2	6	6	NUM
ejpam-5892	29	3	presents	present	VERB
ejpam-5892	29	4	numerical	numerical	ADJ
ejpam-5892	29	5	experiments	experiment	NOUN
ejpam-5892	29	6	to	to	PART
ejpam-5892	29	7	assess	assess	VERB
ejpam-5892	29	8	the	the	DET
ejpam-5892	29	9	performance	performance	NOUN
ejpam-5892	29	10	of	of	ADP
ejpam-5892	29	11	these	these	DET
ejpam-5892	29	12	schemes	scheme	NOUN
ejpam-5892	29	13	.	.	PUNCT
ejpam-5892	30	1	section	section	NOUN
ejpam-5892	30	2	7	7	NUM
ejpam-5892	30	3	discusses	discuss	VERB
ejpam-5892	30	4	the	the	DET
ejpam-5892	30	5	results	result	NOUN
ejpam-5892	30	6	.	.	PUNCT
ejpam-5892	31	1	finally	finally	ADV
ejpam-5892	31	2	,	,	PUNCT
ejpam-5892	31	3	section	section	NOUN
ejpam-5892	31	4	8	8	NUM
ejpam-5892	31	5	concludes	conclude	VERB
ejpam-5892	31	6	the	the	DET
ejpam-5892	31	7	paper	paper	NOUN
ejpam-5892	31	8	and	and	CCONJ
ejpam-5892	31	9	suggests	suggest	VERB
ejpam-5892	31	10	directions	direction	NOUN
ejpam-5892	31	11	for	for	ADP
ejpam-5892	31	12	future	future	ADJ
ejpam-5892	31	13	research	research	NOUN
ejpam-5892	31	14	,	,	PUNCT
ejpam-5892	31	15	particularly	particularly	ADV
ejpam-5892	31	16	focusing	focus	VERB
ejpam-5892	31	17	on	on	ADP
ejpam-5892	31	18	extending	extend	VERB
ejpam-5892	31	19	another	another	DET
ejpam-5892	31	20	scheme	scheme	NOUN
ejpam-5892	31	21	.	.	PUNCT
ejpam-5892	32	1	2	2	X
ejpam-5892	32	2	.	.	X
ejpam-5892	32	3	central	central	ADJ
ejpam-5892	32	4	differencing	difference	VERB
ejpam-5892	32	5	scheme	scheme	NOUN
ejpam-5892	32	6	in	in	ADP
ejpam-5892	32	7	this	this	DET
ejpam-5892	32	8	scheme	scheme	NOUN
ejpam-5892	32	9	,	,	PUNCT
ejpam-5892	32	10	the	the	DET
ejpam-5892	32	11	computational	computational	ADJ
ejpam-5892	32	12	domain	domain	NOUN
ejpam-5892	32	13	is	be	AUX
ejpam-5892	32	14	discretized	discretize	VERB
ejpam-5892	32	15	into	into	ADP
ejpam-5892	32	16	a	a	DET
ejpam-5892	32	17	finite	finite	ADJ
ejpam-5892	32	18	number	number	NOUN
ejpam-5892	32	19	of	of	ADP
ejpam-5892	32	20	control	control	NOUN
ejpam-5892	32	21	volumes	volume	NOUN
ejpam-5892	32	22	.	.	PUNCT
ejpam-5892	33	1	the	the	DET
ejpam-5892	33	2	main	main	ADJ
ejpam-5892	33	3	concept	concept	NOUN
ejpam-5892	33	4	is	be	AUX
ejpam-5892	33	5	to	to	PART
ejpam-5892	33	6	approximate	approximate	VERB
ejpam-5892	33	7	the	the	DET
ejpam-5892	33	8	fluxes	flux	NOUN
ejpam-5892	33	9	at	at	ADP
ejpam-5892	33	10	the	the	DET
ejpam-5892	33	11	boundaries	boundary	NOUN
ejpam-5892	33	12	of	of	ADP
ejpam-5892	33	13	each	each	DET
ejpam-5892	33	14	control	control	NOUN
ejpam-5892	33	15	volume	volume	NOUN
ejpam-5892	33	16	using	use	VERB
ejpam-5892	33	17	central	central	ADJ
ejpam-5892	33	18	differences	difference	NOUN
ejpam-5892	33	19	,	,	PUNCT
ejpam-5892	33	20	which	which	PRON
ejpam-5892	33	21	provide	provide	VERB
ejpam-5892	33	22	second	second	ADJ
ejpam-5892	33	23	-	-	PUNCT
ejpam-5892	33	24	order	order	NOUN
ejpam-5892	33	25	accuracy	accuracy	NOUN
ejpam-5892	33	26	.	.	PUNCT
ejpam-5892	34	1	in	in	ADP
ejpam-5892	34	2	particular	particular	ADJ
ejpam-5892	34	3	,	,	PUNCT
ejpam-5892	34	4	the	the	DET
ejpam-5892	34	5	value	value	NOUN
ejpam-5892	34	6	of	of	ADP
ejpam-5892	34	7	the	the	DET
ejpam-5892	34	8	variable	variable	NOUN
ejpam-5892	34	9	at	at	ADP
ejpam-5892	34	10	the	the	DET
ejpam-5892	34	11	cell	cell	NOUN
ejpam-5892	34	12	faces	face	VERB
ejpam-5892	34	13	is	be	AUX
ejpam-5892	34	14	calculated	calculate	VERB
ejpam-5892	34	15	as	as	ADP
ejpam-5892	34	16	the	the	DET
ejpam-5892	34	17	average	average	NOUN
ejpam-5892	34	18	of	of	ADP
ejpam-5892	34	19	the	the	DET
ejpam-5892	34	20	values	value	NOUN
ejpam-5892	34	21	at	at	ADP
ejpam-5892	34	22	the	the	DET
ejpam-5892	34	23	neighboring	neighboring	NOUN
ejpam-5892	34	24	cell	cell	NOUN
ejpam-5892	34	25	centers	center	NOUN
ejpam-5892	34	26	.	.	PUNCT
ejpam-5892	35	1	mathematically	mathematically	ADV
ejpam-5892	35	2	,	,	PUNCT
ejpam-5892	35	3	this	this	PRON
ejpam-5892	35	4	is	be	AUX
ejpam-5892	35	5	expressed	express	VERB
ejpam-5892	35	6	as	as	ADP
ejpam-5892	35	7	:	:	PUNCT
ejpam-5892	35	8	fi+	fi+	ADJ
ejpam-5892	35	9	1	1	NUM
ejpam-5892	35	10	2	2	NUM
ejpam-5892	35	11	=	=	SYM
ejpam-5892	35	12	fi	fi	NOUN
ejpam-5892	35	13	+	+	CCONJ
ejpam-5892	35	14	fi+1	fi+1	NOUN
ejpam-5892	35	15	2	2	NUM
ejpam-5892	35	16	,	,	PUNCT
ejpam-5892	35	17	(	(	PUNCT
ejpam-5892	35	18	1	1	X
ejpam-5892	35	19	)	)	PUNCT
ejpam-5892	35	20	where	where	SCONJ
ejpam-5892	35	21	fi+	fi+	PROPN
ejpam-5892	35	22	1	1	NUM
ejpam-5892	35	23	2	2	NUM
ejpam-5892	35	24	represents	represent	VERB
ejpam-5892	35	25	the	the	DET
ejpam-5892	35	26	value	value	NOUN
ejpam-5892	35	27	at	at	ADP
ejpam-5892	35	28	the	the	DET
ejpam-5892	35	29	interface	interface	NOUN
ejpam-5892	35	30	between	between	ADP
ejpam-5892	35	31	cells	cell	NOUN
ejpam-5892	35	32	i	i	PRON
ejpam-5892	35	33	and	and	CCONJ
ejpam-5892	35	34	i+	i+	NUM
ejpam-5892	35	35	1	1	NUM
ejpam-5892	36	1	.	.	PUNCT
ejpam-5892	36	2	fi	fi	NOUN
ejpam-5892	36	3	and	and	CCONJ
ejpam-5892	36	4	fi+1	fi+1	NOUN
ejpam-5892	36	5	represent	represent	VERB
ejpam-5892	36	6	the	the	DET
ejpam-5892	36	7	values	value	NOUN
ejpam-5892	36	8	at	at	ADP
ejpam-5892	36	9	the	the	DET
ejpam-5892	36	10	centers	center	NOUN
ejpam-5892	36	11	of	of	ADP
ejpam-5892	36	12	cells	cell	NOUN
ejpam-5892	36	13	i	i	PRON
ejpam-5892	36	14	and	and	CCONJ
ejpam-5892	36	15	i+	i+	NUM
ejpam-5892	36	16	1	1	NUM
ejpam-5892	36	17	,	,	PUNCT
ejpam-5892	36	18	respectively	respectively	ADV
ejpam-5892	36	19	[	[	X
ejpam-5892	36	20	1	1	NUM
ejpam-5892	36	21	]	]	PUNCT
ejpam-5892	36	22	.	.	PUNCT
ejpam-5892	37	1	3	3	X
ejpam-5892	37	2	.	.	X
ejpam-5892	37	3	upwind	upwind	NOUN
ejpam-5892	37	4	differencing	difference	VERB
ejpam-5892	37	5	scheme	scheme	NOUN
ejpam-5892	37	6	this	this	DET
ejpam-5892	37	7	scheme	scheme	NOUN
ejpam-5892	37	8	relies	rely	VERB
ejpam-5892	37	9	on	on	ADP
ejpam-5892	37	10	the	the	DET
ejpam-5892	37	11	principle	principle	NOUN
ejpam-5892	37	12	of	of	ADP
ejpam-5892	37	13	causality	causality	NOUN
ejpam-5892	37	14	,	,	PUNCT
ejpam-5892	37	15	utilizing	utilize	VERB
ejpam-5892	37	16	information	information	NOUN
ejpam-5892	37	17	from	from	ADP
ejpam-5892	37	18	the	the	DET
ejpam-5892	37	19	direction	direction	NOUN
ejpam-5892	37	20	of	of	ADP
ejpam-5892	37	21	the	the	DET
ejpam-5892	37	22	flow	flow	NOUN
ejpam-5892	37	23	to	to	PART
ejpam-5892	37	24	compute	compute	VERB
ejpam-5892	37	25	fluxes	flux	NOUN
ejpam-5892	37	26	at	at	ADP
ejpam-5892	37	27	the	the	DET
ejpam-5892	37	28	control	control	NOUN
ejpam-5892	37	29	volume	volume	NOUN
ejpam-5892	37	30	boundaries	boundary	NOUN
ejpam-5892	37	31	.	.	PUNCT
ejpam-5892	38	1	particularly	particularly	ADV
ejpam-5892	38	2	,	,	PUNCT
ejpam-5892	38	3	the	the	DET
ejpam-5892	38	4	value	value	NOUN
ejpam-5892	38	5	at	at	ADP
ejpam-5892	38	6	t.	t.	PROPN
ejpam-5892	38	7	alfawaz	alfawaz	NOUN
ejpam-5892	38	8	,	,	PUNCT
ejpam-5892	38	9	a.m.	a.m.	PROPN
ejpam-5892	38	10	saeed	saeed	PROPN
ejpam-5892	38	11	/	/	SYM
ejpam-5892	38	12	eur	eur	PROPN
ejpam-5892	38	13	.	.	PUNCT
ejpam-5892	39	1	j.	j.	PROPN
ejpam-5892	39	2	pure	pure	PROPN
ejpam-5892	39	3	appl	appl	PROPN
ejpam-5892	39	4	.	.	PROPN
ejpam-5892	39	5	math	math	PROPN
ejpam-5892	39	6	,	,	PUNCT
ejpam-5892	39	7	18	18	NUM
ejpam-5892	39	8	(	(	PUNCT
ejpam-5892	39	9	2	2	NUM
ejpam-5892	39	10	)	)	PUNCT
ejpam-5892	39	11	(	(	PUNCT
ejpam-5892	39	12	2025	2025	NUM
ejpam-5892	39	13	)	)	PUNCT
ejpam-5892	39	14	,	,	PUNCT
ejpam-5892	39	15	5892	5892	NUM
ejpam-5892	39	16	3	3	NUM
ejpam-5892	39	17	of	of	ADP
ejpam-5892	39	18	17	17	NUM
ejpam-5892	39	19	the	the	DET
ejpam-5892	39	20	cell	cell	NOUN
ejpam-5892	39	21	face	face	NOUN
ejpam-5892	39	22	is	be	AUX
ejpam-5892	39	23	determined	determine	VERB
ejpam-5892	39	24	using	use	VERB
ejpam-5892	39	25	the	the	DET
ejpam-5892	39	26	value	value	NOUN
ejpam-5892	39	27	from	from	ADP
ejpam-5892	39	28	the	the	DET
ejpam-5892	39	29	upstream	upstream	ADJ
ejpam-5892	39	30	cell	cell	NOUN
ejpam-5892	39	31	,	,	PUNCT
ejpam-5892	39	32	which	which	PRON
ejpam-5892	39	33	helps	help	VERB
ejpam-5892	39	34	to	to	PART
ejpam-5892	39	35	maintain	maintain	VERB
ejpam-5892	39	36	stability	stability	NOUN
ejpam-5892	39	37	and	and	CCONJ
ejpam-5892	39	38	reduce	reduce	VERB
ejpam-5892	39	39	numerical	numerical	ADJ
ejpam-5892	39	40	oscillations	oscillation	NOUN
ejpam-5892	39	41	.	.	PUNCT
ejpam-5892	40	1	mathematically	mathematically	ADV
ejpam-5892	40	2	,	,	PUNCT
ejpam-5892	40	3	this	this	PRON
ejpam-5892	40	4	is	be	AUX
ejpam-5892	40	5	represented	represent	VERB
ejpam-5892	40	6	as	as	ADP
ejpam-5892	40	7	:	:	PUNCT
ejpam-5892	40	8	fi+	fi+	ADJ
ejpam-5892	40	9	1	1	NUM
ejpam-5892	40	10	2	2	NUM
ejpam-5892	40	11	=	=	NUM
ejpam-5892	40	12	{	{	PUNCT
ejpam-5892	40	13	fi	fi	NOUN
ejpam-5892	40	14	if	if	SCONJ
ejpam-5892	40	15	u	u	PROPN
ejpam-5892	40	16	>	>	X
ejpam-5892	40	17	0	0	NUM
ejpam-5892	40	18	,	,	PUNCT
ejpam-5892	40	19	fi+1	fi+1	NOUN
ejpam-5892	40	20	if	if	SCONJ
ejpam-5892	40	21	u	u	PROPN
ejpam-5892	40	22	<	<	X
ejpam-5892	40	23	0	0	NUM
ejpam-5892	40	24	,	,	PUNCT
ejpam-5892	40	25	(	(	PUNCT
ejpam-5892	40	26	2	2	X
ejpam-5892	40	27	)	)	PUNCT
ejpam-5892	40	28	where	where	SCONJ
ejpam-5892	40	29	fi+	fi+	PROPN
ejpam-5892	40	30	1	1	NUM
ejpam-5892	40	31	2	2	NUM
ejpam-5892	40	32	denotes	denote	NOUN
ejpam-5892	40	33	the	the	DET
ejpam-5892	40	34	flux	flux	NOUN
ejpam-5892	40	35	at	at	ADP
ejpam-5892	40	36	the	the	DET
ejpam-5892	40	37	interface	interface	NOUN
ejpam-5892	40	38	between	between	ADP
ejpam-5892	40	39	control	control	NOUN
ejpam-5892	40	40	volumes	volume	NOUN
ejpam-5892	40	41	i	i	PRON
ejpam-5892	40	42	and	and	CCONJ
ejpam-5892	40	43	i+	i+	NUM
ejpam-5892	40	44	1	1	X
ejpam-5892	40	45	.	.	X
ejpam-5892	41	1	u	u	NOUN
ejpam-5892	41	2	is	be	AUX
ejpam-5892	41	3	the	the	DET
ejpam-5892	41	4	velocity	velocity	NOUN
ejpam-5892	41	5	of	of	ADP
ejpam-5892	41	6	the	the	DET
ejpam-5892	41	7	flow	flow	NOUN
ejpam-5892	41	8	.	.	PUNCT
ejpam-5892	42	1	fi	fi	NOUN
ejpam-5892	42	2	represents	represent	VERB
ejpam-5892	42	3	the	the	DET
ejpam-5892	42	4	values	value	NOUN
ejpam-5892	42	5	at	at	ADP
ejpam-5892	42	6	the	the	DET
ejpam-5892	42	7	center	center	NOUN
ejpam-5892	42	8	of	of	ADP
ejpam-5892	42	9	cell	cell	NOUN
ejpam-5892	42	10	i	i	PRON
ejpam-5892	43	1	[	[	X
ejpam-5892	43	2	1	1	NUM
ejpam-5892	43	3	]	]	PUNCT
ejpam-5892	43	4	.	.	PUNCT
ejpam-5892	44	1	4	4	X
ejpam-5892	44	2	.	.	X
ejpam-5892	44	3	essentially	essentially	ADV
ejpam-5892	44	4	non	non	ADJ
ejpam-5892	44	5	-	-	ADJ
ejpam-5892	44	6	oscillatory	oscillatory	ADJ
ejpam-5892	44	7	(	(	PUNCT
ejpam-5892	44	8	eno	eno	PROPN
ejpam-5892	44	9	)	)	PUNCT
ejpam-5892	44	10	scheme	scheme	NOUN
ejpam-5892	44	11	essentially	essentially	ADV
ejpam-5892	44	12	non	non	ADJ
ejpam-5892	44	13	-	-	ADJ
ejpam-5892	44	14	oscillatory	oscillatory	ADJ
ejpam-5892	44	15	(	(	PUNCT
ejpam-5892	44	16	eno	eno	PROPN
ejpam-5892	44	17	)	)	PUNCT
ejpam-5892	44	18	schemes	scheme	NOUN
ejpam-5892	44	19	started	start	VERB
ejpam-5892	44	20	with	with	ADP
ejpam-5892	44	21	the	the	DET
ejpam-5892	44	22	classic	classic	ADJ
ejpam-5892	44	23	paper	paper	NOUN
ejpam-5892	44	24	of	of	ADP
ejpam-5892	44	25	harten	harten	PROPN
ejpam-5892	44	26	,	,	PUNCT
ejpam-5892	44	27	engquist	engquist	NOUN
ejpam-5892	44	28	,	,	PUNCT
ejpam-5892	44	29	osher	osher	PROPN
ejpam-5892	44	30	,	,	PUNCT
ejpam-5892	44	31	and	and	CCONJ
ejpam-5892	44	32	chakravarthy	chakravarthy	ADJ
ejpam-5892	44	33	[	[	X
ejpam-5892	44	34	12	12	NUM
ejpam-5892	44	35	]	]	PUNCT
ejpam-5892	44	36	.	.	PUNCT
ejpam-5892	45	1	the	the	DET
ejpam-5892	45	2	eno	eno	PROPN
ejpam-5892	45	3	schemes	scheme	NOUN
ejpam-5892	45	4	are	be	AUX
ejpam-5892	45	5	high	high	ADJ
ejpam-5892	45	6	-	-	PUNCT
ejpam-5892	45	7	order	order	NOUN
ejpam-5892	45	8	accurate	accurate	ADJ
ejpam-5892	45	9	and	and	CCONJ
ejpam-5892	45	10	effectively	effectively	ADV
ejpam-5892	45	11	capture	capture	VERB
ejpam-5892	45	12	shocks	shock	NOUN
ejpam-5892	45	13	with	with	ADP
ejpam-5892	45	14	sharp	sharp	ADJ
ejpam-5892	45	15	,	,	PUNCT
ejpam-5892	45	16	visually	visually	ADV
ejpam-5892	45	17	monotonic	monotonic	ADJ
ejpam-5892	45	18	transitions	transition	NOUN
ejpam-5892	45	19	.	.	PUNCT
ejpam-5892	46	1	the	the	DET
ejpam-5892	46	2	schemes	scheme	NOUN
ejpam-5892	46	3	of	of	ADP
ejpam-5892	46	4	eno	eno	PROPN
ejpam-5892	46	5	are	be	AUX
ejpam-5892	46	6	well	well	ADV
ejpam-5892	46	7	-	-	PUNCT
ejpam-5892	46	8	suited	suit	VERB
ejpam-5892	46	9	for	for	ADP
ejpam-5892	46	10	problems	problem	NOUN
ejpam-5892	46	11	containing	contain	VERB
ejpam-5892	46	12	both	both	DET
ejpam-5892	46	13	shocks	shock	NOUN
ejpam-5892	46	14	and	and	CCONJ
ejpam-5892	46	15	complicated	complicated	ADJ
ejpam-5892	46	16	smooth	smooth	ADJ
ejpam-5892	46	17	flow	flow	NOUN
ejpam-5892	46	18	structures	structure	NOUN
ejpam-5892	46	19	.	.	PUNCT
ejpam-5892	47	1	additionally	additionally	ADV
ejpam-5892	47	2	,	,	PUNCT
ejpam-5892	47	3	eno	eno	PROPN
ejpam-5892	47	4	schemes	scheme	NOUN
ejpam-5892	47	5	depending	depend	VERB
ejpam-5892	47	6	on	on	ADP
ejpam-5892	47	7	point	point	NOUN
ejpam-5892	47	8	values	value	NOUN
ejpam-5892	47	9	and	and	CCONJ
ejpam-5892	47	10	tvd	tvd	PROPN
ejpam-5892	47	11	runge	runge	NOUN
ejpam-5892	47	12	-	-	PUNCT
ejpam-5892	47	13	kutta	kutta	NOUN
ejpam-5892	47	14	time	time	NOUN
ejpam-5892	47	15	discretization	discretization	NOUN
ejpam-5892	47	16	,	,	PUNCT
ejpam-5892	47	17	which	which	PRON
ejpam-5892	47	18	can	can	AUX
ejpam-5892	47	19	reduce	reduce	VERB
ejpam-5892	47	20	computational	computational	ADJ
ejpam-5892	47	21	costs	cost	NOUN
ejpam-5892	47	22	significantly	significantly	ADV
ejpam-5892	47	23	for	for	ADP
ejpam-5892	47	24	multi	multi	ADJ
ejpam-5892	47	25	-	-	ADJ
ejpam-5892	47	26	space	space	ADJ
ejpam-5892	47	27	dimensions	dimension	NOUN
ejpam-5892	47	28	,	,	PUNCT
ejpam-5892	47	29	although	although	SCONJ
ejpam-5892	47	30	eno	eno	PROPN
ejpam-5892	47	31	schemes	scheme	NOUN
ejpam-5892	47	32	choose	choose	VERB
ejpam-5892	47	33	the	the	DET
ejpam-5892	47	34	smoothest	smooth	ADJ
ejpam-5892	47	35	stencil	stencil	NOUN
ejpam-5892	47	36	to	to	PART
ejpam-5892	47	37	capture	capture	VERB
ejpam-5892	47	38	discontinuities	discontinuity	NOUN
ejpam-5892	47	39	from	from	ADP
ejpam-5892	47	40	a	a	DET
ejpam-5892	47	41	set	set	NOUN
ejpam-5892	47	42	of	of	ADP
ejpam-5892	47	43	candidate	candidate	NOUN
ejpam-5892	47	44	approximation	approximation	NOUN
ejpam-5892	47	45	stencils	stencil	NOUN
ejpam-5892	47	46	[	[	PUNCT
ejpam-5892	47	47	13	13	NUM
ejpam-5892	47	48	,	,	PUNCT
ejpam-5892	47	49	14	14	NUM
ejpam-5892	47	50	]	]	PUNCT
ejpam-5892	47	51	.	.	PUNCT
ejpam-5892	48	1	5	5	X
ejpam-5892	48	2	.	.	X
ejpam-5892	48	3	weighted	weight	VERB
ejpam-5892	48	4	essentially	essentially	ADV
ejpam-5892	48	5	non	non	ADJ
ejpam-5892	48	6	-	-	ADJ
ejpam-5892	48	7	oscillatory	oscillatory	ADJ
ejpam-5892	48	8	(	(	PUNCT
ejpam-5892	48	9	weno	weno	NOUN
ejpam-5892	48	10	)	)	PUNCT
ejpam-5892	48	11	scheme	scheme	VERB
ejpam-5892	48	12	the	the	DET
ejpam-5892	48	13	key	key	ADJ
ejpam-5892	48	14	advantage	advantage	NOUN
ejpam-5892	48	15	of	of	ADP
ejpam-5892	48	16	weighted	weight	VERB
ejpam-5892	48	17	essentially	essentially	ADV
ejpam-5892	48	18	non	non	ADJ
ejpam-5892	48	19	-	-	ADJ
ejpam-5892	48	20	oscillatory	oscillatory	ADJ
ejpam-5892	48	21	(	(	PUNCT
ejpam-5892	48	22	weno	weno	ADJ
ejpam-5892	48	23	)	)	PUNCT
ejpam-5892	48	24	schemes	scheme	NOUN
ejpam-5892	48	25	is	be	AUX
ejpam-5892	48	26	their	their	PRON
ejpam-5892	48	27	ability	ability	NOUN
ejpam-5892	48	28	to	to	PART
ejpam-5892	48	29	present	present	VERB
ejpam-5892	48	30	high	high	ADJ
ejpam-5892	48	31	accuracy	accuracy	NOUN
ejpam-5892	48	32	while	while	SCONJ
ejpam-5892	48	33	avoiding	avoid	VERB
ejpam-5892	48	34	spurious	spurious	ADJ
ejpam-5892	48	35	oscillations	oscillation	NOUN
ejpam-5892	48	36	near	near	ADP
ejpam-5892	48	37	discontinuities	discontinuity	NOUN
ejpam-5892	48	38	,	,	PUNCT
ejpam-5892	48	39	such	such	ADJ
ejpam-5892	48	40	as	as	ADP
ejpam-5892	48	41	shocks	shock	NOUN
ejpam-5892	48	42	or	or	CCONJ
ejpam-5892	48	43	contact	contact	NOUN
ejpam-5892	48	44	discontinuities	discontinuity	NOUN
ejpam-5892	48	45	.	.	PUNCT
ejpam-5892	49	1	furthermore	furthermore	ADV
ejpam-5892	49	2	,	,	PUNCT
ejpam-5892	49	3	weno	weno	PROPN
ejpam-5892	49	4	schemes	scheme	NOUN
ejpam-5892	49	5	are	be	AUX
ejpam-5892	49	6	capable	capable	ADJ
ejpam-5892	49	7	of	of	ADP
ejpam-5892	49	8	achieving	achieve	VERB
ejpam-5892	49	9	high	high	ADJ
ejpam-5892	49	10	-	-	PUNCT
ejpam-5892	49	11	order	order	NOUN
ejpam-5892	49	12	accuracy	accuracy	NOUN
ejpam-5892	49	13	(	(	PUNCT
ejpam-5892	49	14	third	third	ADJ
ejpam-5892	49	15	,	,	PUNCT
ejpam-5892	49	16	fifth	fifth	ADJ
ejpam-5892	49	17	,	,	PUNCT
ejpam-5892	49	18	or	or	CCONJ
ejpam-5892	49	19	even	even	ADV
ejpam-5892	49	20	higher	high	ADJ
ejpam-5892	49	21	)	)	PUNCT
ejpam-5892	49	22	in	in	ADP
ejpam-5892	49	23	smooth	smooth	ADJ
ejpam-5892	49	24	regions	region	NOUN
ejpam-5892	49	25	,	,	PUNCT
ejpam-5892	49	26	making	make	VERB
ejpam-5892	49	27	them	they	PRON
ejpam-5892	49	28	highly	highly	ADV
ejpam-5892	49	29	attractive	attractive	ADJ
ejpam-5892	49	30	for	for	ADP
ejpam-5892	49	31	problems	problem	NOUN
ejpam-5892	49	32	requiring	require	VERB
ejpam-5892	49	33	high	high	ADJ
ejpam-5892	49	34	precision	precision	NOUN
ejpam-5892	49	35	.	.	PUNCT
ejpam-5892	50	1	these	these	DET
ejpam-5892	50	2	features	feature	NOUN
ejpam-5892	50	3	make	make	VERB
ejpam-5892	50	4	weno	weno	NOUN
ejpam-5892	50	5	schemes	scheme	NOUN
ejpam-5892	50	6	ideal	ideal	ADJ
ejpam-5892	50	7	for	for	ADP
ejpam-5892	50	8	simulating	simulate	VERB
ejpam-5892	50	9	fluid	fluid	ADJ
ejpam-5892	50	10	dynamics	dynamic	NOUN
ejpam-5892	50	11	,	,	PUNCT
ejpam-5892	50	12	wave	wave	NOUN
ejpam-5892	50	13	propagation	propagation	NOUN
ejpam-5892	50	14	,	,	PUNCT
ejpam-5892	50	15	and	and	CCONJ
ejpam-5892	50	16	other	other	ADJ
ejpam-5892	50	17	problems	problem	NOUN
ejpam-5892	50	18	involving	involve	VERB
ejpam-5892	50	19	discontinuities	discontinuity	NOUN
ejpam-5892	50	20	.	.	PUNCT
ejpam-5892	51	1	weno	weno	PROPN
ejpam-5892	51	2	schemes	scheme	NOUN
ejpam-5892	51	3	have	have	AUX
ejpam-5892	51	4	gained	gain	VERB
ejpam-5892	51	5	more	more	ADJ
ejpam-5892	51	6	attention	attention	NOUN
ejpam-5892	51	7	than	than	ADP
ejpam-5892	51	8	essentially	essentially	ADV
ejpam-5892	51	9	non	non	ADJ
ejpam-5892	51	10	-	-	ADJ
ejpam-5892	51	11	oscillatory	oscillatory	ADJ
ejpam-5892	51	12	(	(	PUNCT
ejpam-5892	51	13	eno	eno	NOUN
ejpam-5892	51	14	)	)	PUNCT
ejpam-5892	51	15	schemes	scheme	NOUN
ejpam-5892	51	16	,	,	PUNCT
ejpam-5892	51	17	both	both	PRON
ejpam-5892	51	18	in	in	ADP
ejpam-5892	51	19	algorithm	algorithm	NOUN
ejpam-5892	51	20	development	development	NOUN
ejpam-5892	51	21	and	and	CCONJ
ejpam-5892	51	22	applications	application	NOUN
ejpam-5892	51	23	.	.	PUNCT
ejpam-5892	52	1	unlike	unlike	ADP
ejpam-5892	52	2	eno	eno	PROPN
ejpam-5892	52	3	,	,	PUNCT
ejpam-5892	52	4	which	which	PRON
ejpam-5892	52	5	is	be	AUX
ejpam-5892	52	6	based	base	VERB
ejpam-5892	52	7	on	on	ADP
ejpam-5892	52	8	a	a	DET
ejpam-5892	52	9	single	single	ADJ
ejpam-5892	52	10	interpolation	interpolation	NOUN
ejpam-5892	52	11	or	or	CCONJ
ejpam-5892	52	12	reconstruction	reconstruction	NOUN
ejpam-5892	52	13	using	use	VERB
ejpam-5892	52	14	one	one	NUM
ejpam-5892	52	15	selected	select	VERB
ejpam-5892	52	16	stencil	stencil	NOUN
ejpam-5892	52	17	,	,	PUNCT
ejpam-5892	52	18	weno	weno	PROPN
ejpam-5892	52	19	employs	employ	VERB
ejpam-5892	52	20	a	a	DET
ejpam-5892	52	21	convex	convex	ADJ
ejpam-5892	52	22	combination	combination	NOUN
ejpam-5892	52	23	of	of	ADP
ejpam-5892	52	24	interpolations	interpolation	NOUN
ejpam-5892	52	25	from	from	ADP
ejpam-5892	52	26	multiple	multiple	ADJ
ejpam-5892	52	27	candidate	candidate	NOUN
ejpam-5892	52	28	stencils	stencil	NOUN
ejpam-5892	52	29	.	.	PUNCT
ejpam-5892	53	1	the	the	DET
ejpam-5892	53	2	weights	weight	NOUN
ejpam-5892	53	3	in	in	ADP
ejpam-5892	53	4	weno	weno	NOUN
ejpam-5892	53	5	schemes	scheme	NOUN
ejpam-5892	53	6	are	be	AUX
ejpam-5892	53	7	specifically	specifically	ADV
ejpam-5892	53	8	designed	design	VERB
ejpam-5892	53	9	to	to	PART
ejpam-5892	53	10	retain	retain	VERB
ejpam-5892	53	11	the	the	DET
ejpam-5892	53	12	eno	eno	PROPN
ejpam-5892	53	13	property	property	NOUN
ejpam-5892	53	14	for	for	ADP
ejpam-5892	53	15	capturing	capture	VERB
ejpam-5892	53	16	discontinuities	discontinuity	NOUN
ejpam-5892	53	17	while	while	SCONJ
ejpam-5892	53	18	restoring	restore	VERB
ejpam-5892	53	19	the	the	DET
ejpam-5892	53	20	background	background	NOUN
ejpam-5892	53	21	linear	linear	PROPN
ejpam-5892	53	22	scheme	scheme	NOUN
ejpam-5892	53	23	in	in	ADP
ejpam-5892	53	24	smooth	smooth	ADJ
ejpam-5892	53	25	regions	region	NOUN
ejpam-5892	53	26	of	of	ADP
ejpam-5892	53	27	the	the	DET
ejpam-5892	53	28	solution	solution	NOUN
ejpam-5892	53	29	.	.	PUNCT
ejpam-5892	54	1	this	this	DET
ejpam-5892	54	2	dual	dual	ADJ
ejpam-5892	54	3	feature	feature	NOUN
ejpam-5892	54	4	ensures	ensure	VERB
ejpam-5892	54	5	accuracy	accuracy	NOUN
ejpam-5892	54	6	and	and	CCONJ
ejpam-5892	54	7	stability	stability	NOUN
ejpam-5892	54	8	,	,	PUNCT
ejpam-5892	54	9	making	make	VERB
ejpam-5892	54	10	weno	weno	NOUN
ejpam-5892	54	11	schemes	scheme	NOUN
ejpam-5892	54	12	particularly	particularly	ADV
ejpam-5892	54	13	effective	effective	ADJ
ejpam-5892	54	14	for	for	ADP
ejpam-5892	54	15	addressing	address	VERB
ejpam-5892	54	16	the	the	DET
ejpam-5892	54	17	discontinuities	discontinuity	NOUN
ejpam-5892	54	18	present	present	ADJ
ejpam-5892	54	19	in	in	ADP
ejpam-5892	54	20	many	many	ADJ
ejpam-5892	54	21	complex	complex	ADJ
ejpam-5892	54	22	problems	problem	NOUN
ejpam-5892	54	23	[	[	X
ejpam-5892	54	24	13–15	13–15	NUM
ejpam-5892	54	25	]	]	PUNCT
ejpam-5892	54	26	.	.	PUNCT
ejpam-5892	55	1	in	in	ADP
ejpam-5892	55	2	the	the	DET
ejpam-5892	55	3	paper	paper	NOUN
ejpam-5892	55	4	,	,	PUNCT
ejpam-5892	55	5	two	two	NUM
ejpam-5892	55	6	classifications	classification	NOUN
ejpam-5892	55	7	of	of	ADP
ejpam-5892	55	8	the	the	DET
ejpam-5892	55	9	method	method	NOUN
ejpam-5892	55	10	will	will	AUX
ejpam-5892	55	11	be	be	AUX
ejpam-5892	55	12	discussed	discuss	VERB
ejpam-5892	55	13	:	:	PUNCT
ejpam-5892	55	14	(	(	PUNCT
ejpam-5892	55	15	i	i	NOUN
ejpam-5892	55	16	)	)	PUNCT
ejpam-5892	55	17	the	the	DET
ejpam-5892	55	18	3rd	3rd	ADJ
ejpam-5892	55	19	-order	-order	NOUN
ejpam-5892	55	20	weighted	weight	VERB
ejpam-5892	55	21	essentially	essentially	ADV
ejpam-5892	55	22	non	non	ADJ
ejpam-5892	55	23	-	-	ADJ
ejpam-5892	55	24	oscillatory	oscillatory	ADJ
ejpam-5892	55	25	(	(	PUNCT
ejpam-5892	55	26	weno3	weno3	NOUN
ejpam-5892	55	27	)	)	PUNCT
ejpam-5892	55	28	.	.	PUNCT
ejpam-5892	56	1	(	(	PUNCT
ejpam-5892	56	2	ii	ii	NOUN
ejpam-5892	56	3	)	)	PUNCT
ejpam-5892	56	4	the	the	DET
ejpam-5892	56	5	5th	5th	ADJ
ejpam-5892	56	6	-order	-order	NOUN
ejpam-5892	56	7	weighted	weight	VERB
ejpam-5892	56	8	essentially	essentially	ADV
ejpam-5892	56	9	non	non	ADJ
ejpam-5892	56	10	-	-	ADJ
ejpam-5892	56	11	oscillatory	oscillatory	ADJ
ejpam-5892	56	12	(	(	PUNCT
ejpam-5892	56	13	weno5	weno5	PROPN
ejpam-5892	56	14	)	)	PUNCT
ejpam-5892	56	15	.	.	PUNCT
ejpam-5892	57	1	t.	t.	PROPN
ejpam-5892	57	2	alfawaz	alfawaz	PROPN
ejpam-5892	57	3	,	,	PUNCT
ejpam-5892	57	4	a.m.	a.m.	PROPN
ejpam-5892	57	5	saeed	saeed	PROPN
ejpam-5892	57	6	/	/	SYM
ejpam-5892	57	7	eur	eur	PROPN
ejpam-5892	57	8	.	.	PUNCT
ejpam-5892	58	1	j.	j.	PROPN
ejpam-5892	58	2	pure	pure	PROPN
ejpam-5892	58	3	appl	appl	PROPN
ejpam-5892	58	4	.	.	PROPN
ejpam-5892	58	5	math	math	PROPN
ejpam-5892	58	6	,	,	PUNCT
ejpam-5892	58	7	18	18	NUM
ejpam-5892	58	8	(	(	PUNCT
ejpam-5892	58	9	2	2	NUM
ejpam-5892	58	10	)	)	PUNCT
ejpam-5892	58	11	(	(	PUNCT
ejpam-5892	58	12	2025	2025	NUM
ejpam-5892	58	13	)	)	PUNCT
ejpam-5892	58	14	,	,	PUNCT
ejpam-5892	58	15	5892	5892	NUM
ejpam-5892	58	16	4	4	NUM
ejpam-5892	58	17	of	of	ADP
ejpam-5892	58	18	17	17	NUM
ejpam-5892	58	19	5.1	5.1	NUM
ejpam-5892	58	20	.	.	PUNCT
ejpam-5892	59	1	weno	weno	PROPN
ejpam-5892	59	2	methodology	methodology	NOUN
ejpam-5892	59	3	in	in	ADP
ejpam-5892	59	4	fvm	fvm	ADJ
ejpam-5892	59	5	framework	framework	VERB
ejpam-5892	59	6	a	a	DET
ejpam-5892	59	7	general	general	ADJ
ejpam-5892	59	8	system	system	NOUN
ejpam-5892	59	9	of	of	ADP
ejpam-5892	59	10	hyperbolic	hyperbolic	ADJ
ejpam-5892	59	11	conservation	conservation	NOUN
ejpam-5892	59	12	laws	law	NOUN
ejpam-5892	59	13	:	:	PUNCT
ejpam-5892	60	1	∂u	∂u	PROPN
ejpam-5892	60	2	∂t	∂t	PROPN
ejpam-5892	60	3	+	+	CCONJ
ejpam-5892	60	4	d∑	d∑	PROPN
ejpam-5892	60	5	i=1	i=1	PROPN
ejpam-5892	60	6	∂	∂	NUM
ejpam-5892	60	7	∂xi	∂xi	NOUN
ejpam-5892	60	8	fi(u	fi(u	NOUN
ejpam-5892	60	9	)	)	PUNCT
ejpam-5892	60	10	=	=	SYM
ejpam-5892	60	11	0	0	NUM
ejpam-5892	60	12	,	,	PUNCT
ejpam-5892	60	13	(	(	PUNCT
ejpam-5892	60	14	3	3	X
ejpam-5892	60	15	)	)	PUNCT
ejpam-5892	60	16	is	be	AUX
ejpam-5892	60	17	considered	consider	VERB
ejpam-5892	60	18	where	where	SCONJ
ejpam-5892	60	19	d	d	NOUN
ejpam-5892	60	20	is	be	AUX
ejpam-5892	60	21	the	the	DET
ejpam-5892	60	22	space	space	NOUN
ejpam-5892	60	23	dimension	dimension	NOUN
ejpam-5892	60	24	,	,	PUNCT
ejpam-5892	60	25	u	u	NOUN
ejpam-5892	60	26	is	be	AUX
ejpam-5892	60	27	the	the	DET
ejpam-5892	60	28	solution	solution	NOUN
ejpam-5892	60	29	vector	vector	NOUN
ejpam-5892	60	30	,	,	PUNCT
ejpam-5892	60	31	and	and	CCONJ
ejpam-5892	60	32	fi(u	fi(u	NOUN
ejpam-5892	60	33	)	)	PUNCT
ejpam-5892	60	34	is	be	AUX
ejpam-5892	60	35	the	the	DET
ejpam-5892	60	36	physical	physical	ADJ
ejpam-5892	60	37	flux	flux	NOUN
ejpam-5892	60	38	in	in	ADP
ejpam-5892	60	39	the	the	DET
ejpam-5892	60	40	i	i	PROPN
ejpam-5892	60	41	-	-	PUNCT
ejpam-5892	60	42	th	th	X
ejpam-5892	60	43	direction	direction	NOUN
ejpam-5892	60	44	.	.	PUNCT
ejpam-5892	61	1	the	the	DET
ejpam-5892	61	2	computational	computational	ADJ
ejpam-5892	61	3	domain	domain	NOUN
ejpam-5892	61	4	in	in	ADP
ejpam-5892	61	5	space	space	NOUN
ejpam-5892	61	6	is	be	AUX
ejpam-5892	61	7	defined	define	VERB
ejpam-5892	61	8	as	as	ADP
ejpam-5892	61	9	ω	ω	X
ejpam-5892	61	10	=	=	PRON
ejpam-5892	61	11	[	[	PUNCT
ejpam-5892	61	12	xl	xl	PROPN
ejpam-5892	61	13	,	,	PUNCT
ejpam-5892	61	14	xr	xr	PROPN
ejpam-5892	61	15	]	]	PUNCT
ejpam-5892	61	16	,	,	PUNCT
ejpam-5892	61	17	which	which	PRON
ejpam-5892	61	18	is	be	AUX
ejpam-5892	61	19	divided	divide	VERB
ejpam-5892	61	20	into	into	ADP
ejpam-5892	61	21	n	n	NOUN
ejpam-5892	61	22	cells	cell	NOUN
ejpam-5892	61	23	represented	represent	VERB
ejpam-5892	61	24	by	by	ADP
ejpam-5892	61	25	ii	ii	PROPN
ejpam-5892	61	26	such	such	ADJ
ejpam-5892	61	27	as	as	ADP
ejpam-5892	61	28	ii	ii	NOUN
ejpam-5892	61	29	=	=	PRON
ejpam-5892	61	30	[	[	PUNCT
ejpam-5892	61	31	xi−	xi−	SYM
ejpam-5892	61	32	1	1	NUM
ejpam-5892	61	33	2	2	NUM
ejpam-5892	61	34	,	,	PUNCT
ejpam-5892	61	35	xi+	xi+	PROPN
ejpam-5892	61	36	1	1	NUM
ejpam-5892	61	37	2	2	NUM
ejpam-5892	61	38	]	]	PUNCT
ejpam-5892	61	39	.	.	PUNCT
ejpam-5892	62	1	following	follow	VERB
ejpam-5892	62	2	that	that	PRON
ejpam-5892	62	3	,	,	PUNCT
ejpam-5892	62	4	the	the	DET
ejpam-5892	62	5	grid	grid	NOUN
ejpam-5892	62	6	size	size	NOUN
ejpam-5892	62	7	within	within	ADP
ejpam-5892	62	8	the	the	DET
ejpam-5892	62	9	domain	domain	NOUN
ejpam-5892	62	10	is	be	AUX
ejpam-5892	62	11	given	give	VERB
ejpam-5892	62	12	by	by	ADP
ejpam-5892	62	13	∆xi	∆xi	PROPN
ejpam-5892	62	14	=	=	PUNCT
ejpam-5892	62	15	xi+	xi+	NOUN
ejpam-5892	62	16	1	1	NUM
ejpam-5892	62	17	2	2	NUM
ejpam-5892	62	18	−	−	NOUN
ejpam-5892	62	19	xi−	xi−	SYM
ejpam-5892	62	20	1	1	NUM
ejpam-5892	62	21	2	2	NUM
ejpam-5892	62	22	,	,	PUNCT
ejpam-5892	62	23	and	and	CCONJ
ejpam-5892	62	24	the	the	DET
ejpam-5892	62	25	cell	cell	NOUN
ejpam-5892	62	26	centers	center	NOUN
ejpam-5892	62	27	are	be	AUX
ejpam-5892	62	28	located	locate	VERB
ejpam-5892	62	29	at	at	ADP
ejpam-5892	62	30	xi	xi	X
ejpam-5892	62	31	=	=	SYM
ejpam-5892	62	32	1	1	NUM
ejpam-5892	62	33	2	2	NUM
ejpam-5892	62	34	(	(	PUNCT
ejpam-5892	62	35	xi−	xi−	SYM
ejpam-5892	62	36	1	1	NUM
ejpam-5892	62	37	2	2	NUM
ejpam-5892	63	1	+	+	CCONJ
ejpam-5892	63	2	xi+	xi+	NOUN
ejpam-5892	63	3	1	1	NUM
ejpam-5892	63	4	2	2	NUM
ejpam-5892	63	5	)	)	PUNCT
ejpam-5892	63	6	where	where	SCONJ
ejpam-5892	63	7	i	i	PRON
ejpam-5892	63	8	=	=	NOUN
ejpam-5892	63	9	1	1	NUM
ejpam-5892	63	10	,	,	PUNCT
ejpam-5892	63	11	2	2	NUM
ejpam-5892	63	12	,	,	PUNCT
ejpam-5892	63	13	.	.	PUNCT
ejpam-5892	63	14	.	.	PUNCT
ejpam-5892	64	1	.	.	PUNCT
ejpam-5892	65	1	,	,	PUNCT
ejpam-5892	65	2	n	n	X
ejpam-5892	65	3	.	.	PUNCT
ejpam-5892	66	1	for	for	ADP
ejpam-5892	66	2	simplicity	simplicity	NOUN
ejpam-5892	66	3	,	,	PUNCT
ejpam-5892	66	4	considering	consider	VERB
ejpam-5892	66	5	the	the	DET
ejpam-5892	66	6	one	one	NUM
ejpam-5892	66	7	-	-	PUNCT
ejpam-5892	66	8	dimensional	dimensional	ADJ
ejpam-5892	66	9	scalar	scalar	ADJ
ejpam-5892	66	10	hyperbolic	hyperbolic	ADJ
ejpam-5892	66	11	conservation	conservation	NOUN
ejpam-5892	66	12	law	law	NOUN
ejpam-5892	66	13	:	:	PUNCT
ejpam-5892	66	14	∂u	∂u	PROPN
ejpam-5892	66	15	∂t	∂t	PROPN
ejpam-5892	66	16	+	+	CCONJ
ejpam-5892	66	17	∂	∂	NUM
ejpam-5892	66	18	∂x	∂x	PROPN
ejpam-5892	66	19	f(u	f(u	PROPN
ejpam-5892	66	20	)	)	PUNCT
ejpam-5892	66	21	=	=	SYM
ejpam-5892	66	22	0	0	NUM
ejpam-5892	66	23	,	,	PUNCT
ejpam-5892	66	24	(	(	PUNCT
ejpam-5892	66	25	4	4	NUM
ejpam-5892	66	26	)	)	PUNCT
ejpam-5892	66	27	with	with	ADP
ejpam-5892	66	28	the	the	DET
ejpam-5892	66	29	initial	initial	ADJ
ejpam-5892	66	30	condition	condition	NOUN
ejpam-5892	66	31	:	:	PUNCT
ejpam-5892	66	32	u(x	u(x	NOUN
ejpam-5892	66	33	,	,	PUNCT
ejpam-5892	66	34	0	0	NUM
ejpam-5892	66	35	)	)	PUNCT
ejpam-5892	66	36	=	=	SYM
ejpam-5892	66	37	u0(x	u0(x	NOUN
ejpam-5892	66	38	)	)	PUNCT
ejpam-5892	66	39	applying	apply	VERB
ejpam-5892	66	40	the	the	DET
ejpam-5892	66	41	finite	finite	ADJ
ejpam-5892	66	42	volume	volume	NOUN
ejpam-5892	66	43	method	method	NOUN
ejpam-5892	66	44	to	to	ADP
ejpam-5892	66	45	equation	equation	NOUN
ejpam-5892	66	46	(	(	PUNCT
ejpam-5892	66	47	4	4	NUM
ejpam-5892	66	48	)	)	PUNCT
ejpam-5892	66	49	and	and	CCONJ
ejpam-5892	66	50	integrating	integrate	VERB
ejpam-5892	66	51	over	over	ADP
ejpam-5892	66	52	the	the	DET
ejpam-5892	66	53	cell	cell	NOUN
ejpam-5892	66	54	ii	ii	NOUN
ejpam-5892	66	55	=[	=[	NOUN
ejpam-5892	66	56	xi−	xi−	SYM
ejpam-5892	66	57	1	1	NUM
ejpam-5892	66	58	2	2	NUM
ejpam-5892	66	59	,	,	PUNCT
ejpam-5892	66	60	xi+	xi+	PROPN
ejpam-5892	66	61	1	1	NUM
ejpam-5892	66	62	2	2	NUM
ejpam-5892	66	63	]	]	PUNCT
ejpam-5892	66	64	,	,	PUNCT
ejpam-5892	66	65	the	the	DET
ejpam-5892	66	66	conservation	conservation	NOUN
ejpam-5892	66	67	law	law	NOUN
ejpam-5892	66	68	becomes	become	VERB
ejpam-5892	66	69	:	:	PUNCT
ejpam-5892	67	1	d	d	X
ejpam-5892	67	2	dt	dt	X
ejpam-5892	67	3	∫	∫	PROPN
ejpam-5892	67	4	x	x	PROPN
ejpam-5892	67	5	i+1	i+1	SYM
ejpam-5892	67	6	2	2	NUM
ejpam-5892	67	7	x	x	SYM
ejpam-5892	67	8	i−	i−	ADJ
ejpam-5892	67	9	1	1	NUM
ejpam-5892	67	10	2	2	NUM
ejpam-5892	67	11	u(x	u(x	NOUN
ejpam-5892	67	12	,	,	PUNCT
ejpam-5892	67	13	t)dx+	t)dx+	X
ejpam-5892	67	14	[	[	PUNCT
ejpam-5892	67	15	f(u(x	f(u(x	PROPN
ejpam-5892	67	16	,	,	PUNCT
ejpam-5892	67	17	t))|x	t))|x	NOUN
ejpam-5892	67	18	i+1	i+1	SYM
ejpam-5892	67	19	2	2	NUM
ejpam-5892	67	20	−	−	NOUN
ejpam-5892	67	21	f(u(x	f(u(x	PROPN
ejpam-5892	67	22	,	,	PUNCT
ejpam-5892	67	23	t))|x	t))|x	PROPN
ejpam-5892	67	24	i−	i−	PROPN
ejpam-5892	67	25	1	1	NUM
ejpam-5892	67	26	2	2	NUM
ejpam-5892	67	27	]	]	PUNCT
ejpam-5892	67	28	=	=	SYM
ejpam-5892	67	29	0	0	NUM
ejpam-5892	67	30	,	,	PUNCT
ejpam-5892	67	31	(	(	PUNCT
ejpam-5892	67	32	5	5	NUM
ejpam-5892	67	33	)	)	PUNCT
ejpam-5892	67	34	where	where	SCONJ
ejpam-5892	67	35	f(u	f(u	PROPN
ejpam-5892	67	36	)	)	PUNCT
ejpam-5892	67	37	is	be	AUX
ejpam-5892	67	38	the	the	DET
ejpam-5892	67	39	physical	physical	ADJ
ejpam-5892	67	40	flux	flux	NOUN
ejpam-5892	67	41	,	,	PUNCT
ejpam-5892	67	42	which	which	PRON
ejpam-5892	67	43	may	may	AUX
ejpam-5892	67	44	be	be	AUX
ejpam-5892	67	45	approximated	approximate	VERB
ejpam-5892	67	46	by	by	ADP
ejpam-5892	67	47	its	its	PRON
ejpam-5892	67	48	numerical	numerical	ADJ
ejpam-5892	67	49	counterpart	counterpart	NOUN
ejpam-5892	67	50	f̂	f̂	PROPN
ejpam-5892	67	51	(	(	PUNCT
ejpam-5892	67	52	referred	refer	VERB
ejpam-5892	67	53	to	to	ADP
ejpam-5892	67	54	as	as	ADP
ejpam-5892	67	55	the	the	DET
ejpam-5892	67	56	numerical	numerical	ADJ
ejpam-5892	67	57	flux	flux	PROPN
ejpam-5892	67	58	)	)	PUNCT
ejpam-5892	67	59	,	,	PUNCT
ejpam-5892	67	60	and	and	CCONJ
ejpam-5892	67	61	ūi(t	ūi(t	NOUN
ejpam-5892	67	62	)	)	PUNCT
ejpam-5892	67	63	be	be	VERB
ejpam-5892	67	64	the	the	DET
ejpam-5892	67	65	average	average	ADJ
ejpam-5892	67	66	value	value	NOUN
ejpam-5892	67	67	of	of	ADP
ejpam-5892	67	68	the	the	DET
ejpam-5892	67	69	solution	solution	NOUN
ejpam-5892	67	70	u(x	u(x	NOUN
ejpam-5892	67	71	,	,	PUNCT
ejpam-5892	67	72	t	t	NOUN
ejpam-5892	67	73	)	)	PUNCT
ejpam-5892	67	74	over	over	ADP
ejpam-5892	67	75	the	the	DET
ejpam-5892	67	76	cell	cell	NOUN
ejpam-5892	67	77	ii	ii	NOUN
ejpam-5892	67	78	for	for	ADP
ejpam-5892	67	79	all	all	DET
ejpam-5892	67	80	i	i	PRON
ejpam-5892	67	81	:	:	PUNCT
ejpam-5892	67	82	ūi(t	ūi(t	X
ejpam-5892	67	83	)	)	PUNCT
ejpam-5892	67	84	=	=	SYM
ejpam-5892	67	85	1	1	NUM
ejpam-5892	67	86	∆x	∆x	PROPN
ejpam-5892	67	87	∫	∫	PROPN
ejpam-5892	67	88	x	x	PROPN
ejpam-5892	67	89	i+1	i+1	SYM
ejpam-5892	67	90	2	2	NUM
ejpam-5892	67	91	x	x	SYM
ejpam-5892	67	92	i−	i−	ADJ
ejpam-5892	67	93	1	1	NUM
ejpam-5892	67	94	2	2	NUM
ejpam-5892	67	95	u(x	u(x	NOUN
ejpam-5892	67	96	,	,	PUNCT
ejpam-5892	67	97	t)dx	t)dx	PROPN
ejpam-5892	67	98	,	,	PUNCT
ejpam-5892	67	99	(	(	PUNCT
ejpam-5892	67	100	6	6	NUM
ejpam-5892	67	101	)	)	PUNCT
ejpam-5892	67	102	where	where	SCONJ
ejpam-5892	67	103	∆x	∆x	PROPN
ejpam-5892	67	104	is	be	AUX
ejpam-5892	67	105	the	the	DET
ejpam-5892	67	106	width	width	NOUN
ejpam-5892	67	107	of	of	ADP
ejpam-5892	67	108	the	the	DET
ejpam-5892	67	109	cell	cell	NOUN
ejpam-5892	67	110	.	.	PUNCT
ejpam-5892	68	1	substituting	substitute	VERB
ejpam-5892	68	2	this	this	DET
ejpam-5892	68	3	cell	cell	NOUN
ejpam-5892	68	4	-	-	PUNCT
ejpam-5892	68	5	averaged	average	VERB
ejpam-5892	68	6	value	value	NOUN
ejpam-5892	68	7	into	into	ADP
ejpam-5892	68	8	the	the	DET
ejpam-5892	68	9	finite	finite	PROPN
ejpam-5892	68	10	volume	volume	NOUN
ejpam-5892	68	11	formulation	formulation	NOUN
ejpam-5892	68	12	,	,	PUNCT
ejpam-5892	68	13	the	the	DET
ejpam-5892	68	14	semidiscrete	semidiscrete	ADJ
ejpam-5892	68	15	form	form	NOUN
ejpam-5892	68	16	of	of	ADP
ejpam-5892	68	17	the	the	DET
ejpam-5892	68	18	conservation	conservation	NOUN
ejpam-5892	68	19	law	law	NOUN
ejpam-5892	68	20	becomes	become	VERB
ejpam-5892	68	21	:	:	PUNCT
ejpam-5892	68	22	d	d	X
ejpam-5892	68	23	dt	dt	PUNCT
ejpam-5892	68	24	ūi(t	ūi(t	PROPN
ejpam-5892	68	25	)	)	PUNCT
ejpam-5892	68	26	=	=	SYM
ejpam-5892	68	27	−	−	PROPN
ejpam-5892	68	28	1	1	NUM
ejpam-5892	68	29	∆x	∆x	PROPN
ejpam-5892	68	30	[	[	PUNCT
ejpam-5892	68	31	f	f	X
ejpam-5892	68	32	(	(	PUNCT
ejpam-5892	68	33	u	u	PROPN
ejpam-5892	68	34	(	(	PUNCT
ejpam-5892	68	35	xi+	xi+	PROPN
ejpam-5892	68	36	1	1	NUM
ejpam-5892	68	37	2	2	NUM
ejpam-5892	68	38	,	,	PUNCT
ejpam-5892	68	39	t	t	NOUN
ejpam-5892	68	40	)	)	PUNCT
ejpam-5892	68	41	)	)	PUNCT
ejpam-5892	69	1	−	−	PROPN
ejpam-5892	69	2	f	f	X
ejpam-5892	69	3	(	(	PUNCT
ejpam-5892	69	4	u	u	X
ejpam-5892	69	5	(	(	PUNCT
ejpam-5892	69	6	xi−	xi−	PROPN
ejpam-5892	69	7	1	1	NUM
ejpam-5892	69	8	2	2	NUM
ejpam-5892	69	9	,	,	PUNCT
ejpam-5892	69	10	t	t	NOUN
ejpam-5892	69	11	)	)	PUNCT
ejpam-5892	69	12	)	)	PUNCT
ejpam-5892	69	13	]	]	PUNCT
ejpam-5892	69	14	,	,	PUNCT
ejpam-5892	69	15	(	(	PUNCT
ejpam-5892	69	16	7	7	X
ejpam-5892	69	17	)	)	PUNCT
ejpam-5892	69	18	where	where	SCONJ
ejpam-5892	69	19	∆x	∆x	PROPN
ejpam-5892	69	20	=	=	SYM
ejpam-5892	69	21	xi+	xi+	PROPN
ejpam-5892	69	22	1	1	NUM
ejpam-5892	69	23	2	2	NUM
ejpam-5892	69	24	−	−	NOUN
ejpam-5892	69	25	xi−	xi−	SYM
ejpam-5892	69	26	1	1	NUM
ejpam-5892	69	27	2	2	NUM
ejpam-5892	69	28	approximating	approximate	VERB
ejpam-5892	69	29	equation	equation	NOUN
ejpam-5892	69	30	(	(	PUNCT
ejpam-5892	69	31	7	7	X
ejpam-5892	69	32	)	)	PUNCT
ejpam-5892	69	33	using	use	VERB
ejpam-5892	69	34	the	the	DET
ejpam-5892	69	35	following	following	ADJ
ejpam-5892	69	36	conservative	conservative	ADJ
ejpam-5892	69	37	scheme	scheme	NOUN
ejpam-5892	69	38	,	,	PUNCT
ejpam-5892	69	39	yields	yield	VERB
ejpam-5892	69	40	a	a	DET
ejpam-5892	69	41	system	system	NOUN
ejpam-5892	69	42	of	of	ADP
ejpam-5892	69	43	ordinary	ordinary	ADJ
ejpam-5892	69	44	differential	differential	ADJ
ejpam-5892	69	45	equations	equation	NOUN
ejpam-5892	69	46	(	(	PUNCT
ejpam-5892	69	47	odes	ode	NOUN
ejpam-5892	69	48	)	)	PUNCT
ejpam-5892	69	49	,	,	PUNCT
ejpam-5892	69	50	leading	lead	VERB
ejpam-5892	69	51	to	to	ADP
ejpam-5892	69	52	the	the	DET
ejpam-5892	69	53	semidiscrete	semidiscrete	ADJ
ejpam-5892	69	54	finite	finite	PROPN
ejpam-5892	69	55	volume	volume	NOUN
ejpam-5892	69	56	scheme	scheme	NOUN
ejpam-5892	69	57	:	:	PUNCT
ejpam-5892	69	58	d	d	NOUN
ejpam-5892	69	59	dt	dt	PUNCT
ejpam-5892	69	60	ūi(t	ūi(t	PROPN
ejpam-5892	69	61	)	)	PUNCT
ejpam-5892	69	62	=	=	SYM
ejpam-5892	69	63	−	−	PROPN
ejpam-5892	69	64	1	1	NUM
ejpam-5892	69	65	∆x	∆x	PROPN
ejpam-5892	69	66	(	(	PUNCT
ejpam-5892	69	67	f̂i+	f̂i+	ADJ
ejpam-5892	69	68	1	1	NUM
ejpam-5892	69	69	2	2	NUM
ejpam-5892	69	70	−	−	PROPN
ejpam-5892	69	71	f̂i−	f̂i−	NOUN
ejpam-5892	69	72	1	1	NUM
ejpam-5892	69	73	2	2	NUM
ejpam-5892	69	74	)	)	PUNCT
ejpam-5892	69	75	,	,	PUNCT
ejpam-5892	69	76	(	(	PUNCT
ejpam-5892	69	77	8)	8)	NUM
ejpam-5892	69	78	t.	t.	NOUN
ejpam-5892	69	79	alfawaz	alfawaz	NOUN
ejpam-5892	69	80	,	,	PUNCT
ejpam-5892	69	81	a.m.	a.m.	PROPN
ejpam-5892	69	82	saeed	saeed	PROPN
ejpam-5892	69	83	/	/	SYM
ejpam-5892	69	84	eur	eur	PROPN
ejpam-5892	69	85	.	.	PUNCT
ejpam-5892	70	1	j.	j.	PROPN
ejpam-5892	70	2	pure	pure	PROPN
ejpam-5892	70	3	appl	appl	PROPN
ejpam-5892	70	4	.	.	PROPN
ejpam-5892	70	5	math	math	PROPN
ejpam-5892	70	6	,	,	PUNCT
ejpam-5892	70	7	18	18	NUM
ejpam-5892	70	8	(	(	PUNCT
ejpam-5892	70	9	2	2	NUM
ejpam-5892	70	10	)	)	PUNCT
ejpam-5892	70	11	(	(	PUNCT
ejpam-5892	70	12	2025	2025	NUM
ejpam-5892	70	13	)	)	PUNCT
ejpam-5892	70	14	,	,	PUNCT
ejpam-5892	70	15	5892	5892	NUM
ejpam-5892	70	16	5	5	NUM
ejpam-5892	70	17	of	of	ADP
ejpam-5892	70	18	17	17	NUM
ejpam-5892	70	19	the	the	DET
ejpam-5892	70	20	numerical	numerical	PROPN
ejpam-5892	70	21	flux	flux	PROPN
ejpam-5892	70	22	f̂i±1/2	f̂i±1/2	PROPN
ejpam-5892	70	23	is	be	AUX
ejpam-5892	70	24	given	give	VERB
ejpam-5892	70	25	by	by	ADP
ejpam-5892	70	26	the	the	DET
ejpam-5892	70	27	following	follow	VERB
ejpam-5892	70	28	expression	expression	NOUN
ejpam-5892	70	29	:	:	PUNCT
ejpam-5892	70	30	f̂i±1/2	f̂i±1/2	PROPN
ejpam-5892	71	1	=	=	SYM
ejpam-5892	71	2	h	h	PROPN
ejpam-5892	71	3	(	(	PUNCT
ejpam-5892	71	4	u−	u−	PROPN
ejpam-5892	71	5	i±	i±	NOUN
ejpam-5892	71	6	1	1	NUM
ejpam-5892	71	7	2	2	NUM
ejpam-5892	71	8	,	,	PUNCT
ejpam-5892	71	9	u+	u+	NUM
ejpam-5892	71	10	i±	i±	NOUN
ejpam-5892	71	11	1	1	NUM
ejpam-5892	71	12	2	2	NUM
ejpam-5892	71	13	)	)	PUNCT
ejpam-5892	71	14	,	,	PUNCT
ejpam-5892	71	15	(	(	PUNCT
ejpam-5892	71	16	9	9	X
ejpam-5892	71	17	)	)	PUNCT
ejpam-5892	71	18	to	to	PART
ejpam-5892	71	19	obtain	obtain	VERB
ejpam-5892	71	20	the	the	DET
ejpam-5892	71	21	semi	semi	ADJ
ejpam-5892	71	22	-	-	ADJ
ejpam-5892	71	23	discrete	discrete	ADJ
ejpam-5892	71	24	finite	finite	NOUN
ejpam-5892	71	25	volume	volume	NOUN
ejpam-5892	71	26	scheme	scheme	NOUN
ejpam-5892	71	27	d	d	X
ejpam-5892	71	28	dt	dt	X
ejpam-5892	71	29	ūi(t	ūi(t	NOUN
ejpam-5892	71	30	)	)	PUNCT
ejpam-5892	71	31	+	+	CCONJ
ejpam-5892	71	32	1	1	NUM
ejpam-5892	71	33	∆x	∆x	PROPN
ejpam-5892	71	34	[	[	PUNCT
ejpam-5892	71	35	h	h	NOUN
ejpam-5892	71	36	(	(	PUNCT
ejpam-5892	71	37	u−	u−	PROPN
ejpam-5892	71	38	i+	i+	NOUN
ejpam-5892	71	39	1	1	NUM
ejpam-5892	71	40	2	2	NUM
ejpam-5892	71	41	,	,	PUNCT
ejpam-5892	71	42	u+	u+	NOUN
ejpam-5892	71	43	i+	i+	NUM
ejpam-5892	71	44	1	1	NUM
ejpam-5892	71	45	2	2	NUM
ejpam-5892	71	46	)	)	PUNCT
ejpam-5892	71	47	−	−	PROPN
ejpam-5892	72	1	h	h	NOUN
ejpam-5892	72	2	(	(	PUNCT
ejpam-5892	72	3	u−	u−	PROPN
ejpam-5892	72	4	i−	i−	ADJ
ejpam-5892	72	5	1	1	NUM
ejpam-5892	72	6	2	2	NUM
ejpam-5892	72	7	,	,	PUNCT
ejpam-5892	72	8	u+	u+	NOUN
ejpam-5892	72	9	i−	i−	PROPN
ejpam-5892	72	10	1	1	NUM
ejpam-5892	72	11	2	2	NUM
ejpam-5892	72	12	)	)	PUNCT
ejpam-5892	72	13	]	]	PUNCT
ejpam-5892	73	1	=	=	PUNCT
ejpam-5892	73	2	0	0	NUM
ejpam-5892	73	3	,	,	PUNCT
ejpam-5892	73	4	(	(	PUNCT
ejpam-5892	73	5	10	10	NUM
ejpam-5892	73	6	)	)	PUNCT
ejpam-5892	73	7	when	when	SCONJ
ejpam-5892	73	8	the	the	DET
ejpam-5892	73	9	values	value	NOUN
ejpam-5892	73	10	u±	u±	PROPN
ejpam-5892	73	11	i+	i+	PUNCT
ejpam-5892	73	12	1	1	NUM
ejpam-5892	73	13	2	2	NUM
ejpam-5892	73	14	and	and	CCONJ
ejpam-5892	73	15	u±	u±	PROPN
ejpam-5892	73	16	i−	i−	PROPN
ejpam-5892	73	17	1	1	NUM
ejpam-5892	73	18	2	2	NUM
ejpam-5892	73	19	were	be	AUX
ejpam-5892	73	20	reconstructed	reconstruct	VERB
ejpam-5892	73	21	bywenomethod	bywenomethod	NOUN
ejpam-5892	73	22	and	and	CCONJ
ejpam-5892	73	23	using	use	VERB
ejpam-5892	73	24	the	the	DET
ejpam-5892	73	25	rungekutta	rungekutta	ADJ
ejpam-5892	73	26	method	method	NOUN
ejpam-5892	73	27	to	to	PART
ejpam-5892	73	28	solve	solve	VERB
ejpam-5892	73	29	the	the	DET
ejpam-5892	73	30	resulting	resulting	NOUN
ejpam-5892	73	31	of	of	ADP
ejpam-5892	73	32	odes	ode	NOUN
ejpam-5892	73	33	in	in	ADP
ejpam-5892	73	34	(	(	PUNCT
ejpam-5892	73	35	8)	8)	NUM
ejpam-5892	73	36	.	.	PUNCT
ejpam-5892	74	1	the	the	DET
ejpam-5892	74	2	function	function	PROPN
ejpam-5892	74	3	h(a	h(a	PROPN
ejpam-5892	74	4	,	,	PUNCT
ejpam-5892	74	5	b	b	NOUN
ejpam-5892	74	6	)	)	PUNCT
ejpam-5892	74	7	in	in	ADP
ejpam-5892	74	8	expression	expression	NOUN
ejpam-5892	74	9	(	(	PUNCT
ejpam-5892	74	10	9	9	NUM
ejpam-5892	74	11	)	)	PUNCT
ejpam-5892	74	12	is	be	AUX
ejpam-5892	74	13	a	a	DET
ejpam-5892	74	14	monotone	monotone	ADJ
ejpam-5892	74	15	numerical	numerical	ADJ
ejpam-5892	74	16	flux	flux	NOUN
ejpam-5892	74	17	that	that	PRON
ejpam-5892	74	18	meets	meet	VERB
ejpam-5892	74	19	specific	specific	ADJ
ejpam-5892	74	20	conditions	condition	NOUN
ejpam-5892	74	21	,	,	PUNCT
ejpam-5892	74	22	there	there	PRON
ejpam-5892	74	23	are	be	VERB
ejpam-5892	74	24	some	some	DET
ejpam-5892	74	25	examples	example	NOUN
ejpam-5892	74	26	of	of	ADP
ejpam-5892	74	27	monotone	monotone	ADJ
ejpam-5892	74	28	fluxes	flux	NOUN
ejpam-5892	74	29	include	include	VERB
ejpam-5892	74	30	the	the	DET
ejpam-5892	74	31	godunov	godunov	NOUN
ejpam-5892	74	32	flux	flux	NOUN
ejpam-5892	74	33	,	,	PUNCT
ejpam-5892	74	34	engquist	engquist	NOUN
ejpam-5892	74	35	-	-	PUNCT
ejpam-5892	74	36	osher	osher	PROPN
ejpam-5892	74	37	flux	flux	NOUN
ejpam-5892	74	38	,	,	PUNCT
ejpam-5892	74	39	and	and	CCONJ
ejpam-5892	74	40	lax	lax	ADJ
ejpam-5892	74	41	-	-	PUNCT
ejpam-5892	74	42	friedrichs	friedrich	NOUN
ejpam-5892	74	43	flux	flux	NOUN
ejpam-5892	75	1	[	[	X
ejpam-5892	75	2	13	13	NUM
ejpam-5892	75	3	,	,	PUNCT
ejpam-5892	75	4	16	16	NUM
ejpam-5892	75	5	]	]	PUNCT
ejpam-5892	75	6	.	.	PUNCT
ejpam-5892	76	1	the	the	DET
ejpam-5892	76	2	goal	goal	NOUN
ejpam-5892	76	3	of	of	ADP
ejpam-5892	76	4	weno	weno	PROPN
ejpam-5892	76	5	reconstruction	reconstruction	NOUN
ejpam-5892	76	6	is	be	AUX
ejpam-5892	76	7	to	to	PART
ejpam-5892	76	8	compute	compute	VERB
ejpam-5892	76	9	the	the	DET
ejpam-5892	76	10	interface	interface	NOUN
ejpam-5892	76	11	values	value	VERB
ejpam-5892	76	12	u±	u±	PROPN
ejpam-5892	76	13	i+	i+	PUNCT
ejpam-5892	76	14	1	1	NUM
ejpam-5892	76	15	2	2	NUM
ejpam-5892	76	16	and	and	CCONJ
ejpam-5892	76	17	u±	u±	PROPN
ejpam-5892	76	18	i−	i−	PROPN
ejpam-5892	76	19	1	1	NUM
ejpam-5892	76	20	2	2	NUM
ejpam-5892	76	21	by	by	ADP
ejpam-5892	76	22	forming	form	VERB
ejpam-5892	76	23	a	a	DET
ejpam-5892	76	24	convex	convex	ADJ
ejpam-5892	76	25	combination	combination	NOUN
ejpam-5892	76	26	of	of	ADP
ejpam-5892	76	27	all	all	DET
ejpam-5892	76	28	candidate	candidate	NOUN
ejpam-5892	76	29	reconstructions	reconstruction	NOUN
ejpam-5892	76	30	u	u	NOUN
ejpam-5892	76	31	(	(	PUNCT
ejpam-5892	76	32	r	r	NOUN
ejpam-5892	76	33	)	)	PUNCT
ejpam-5892	76	34	i±	i±	NOUN
ejpam-5892	76	35	1	1	NUM
ejpam-5892	76	36	2	2	NUM
ejpam-5892	76	37	.	.	PUNCT
ejpam-5892	77	1	this	this	PRON
ejpam-5892	77	2	involves	involve	VERB
ejpam-5892	77	3	combining	combine	VERB
ejpam-5892	77	4	k	k	PROPN
ejpam-5892	77	5	candidate	candidate	NOUN
ejpam-5892	77	6	stencils	stencil	VERB
ejpam-5892	77	7	sr	sr	PROPN
ejpam-5892	77	8	,	,	PUNCT
ejpam-5892	77	9	each	each	DET
ejpam-5892	77	10	stencil	stencil	NOUN
ejpam-5892	77	11	provides	provide	VERB
ejpam-5892	77	12	sets	set	NOUN
ejpam-5892	77	13	of	of	ADP
ejpam-5892	77	14	neighboring	neighboring	NOUN
ejpam-5892	77	15	cell	cell	NOUN
ejpam-5892	77	16	values	value	NOUN
ejpam-5892	77	17	sr(i	sr(i	PUNCT
ejpam-5892	77	18	)	)	PUNCT
ejpam-5892	78	1	=	=	SYM
ejpam-5892	78	2	{	{	PUNCT
ejpam-5892	78	3	xi−r	xi−r	X
ejpam-5892	78	4	,	,	PUNCT
ejpam-5892	78	5	xi−r+1	xi−r+1	PROPN
ejpam-5892	78	6	,	,	PUNCT
ejpam-5892	78	7	.	.	PUNCT
ejpam-5892	78	8	.	.	PUNCT
ejpam-5892	78	9	.	.	PUNCT
ejpam-5892	79	1	,	,	PUNCT
ejpam-5892	79	2	xi−r+k−1	xi−r+k−1	PUNCT
ejpam-5892	79	3	}	}	PUNCT
ejpam-5892	79	4	,	,	PUNCT
ejpam-5892	79	5	r	r	NOUN
ejpam-5892	79	6	=	=	SYM
ejpam-5892	79	7	0	0	NUM
ejpam-5892	79	8	,	,	PUNCT
ejpam-5892	79	9	.	.	PUNCT
ejpam-5892	79	10	.	.	PUNCT
ejpam-5892	80	1	.	.	PUNCT
ejpam-5892	81	1	,	,	PUNCT
ejpam-5892	82	1	k	k	PROPN
ejpam-5892	83	1	−	−	PROPN
ejpam-5892	84	1	1	1	X
ejpam-5892	84	2	.	.	PUNCT
ejpam-5892	84	3	(	(	PUNCT
ejpam-5892	84	4	11	11	NUM
ejpam-5892	84	5	)	)	PUNCT
ejpam-5892	84	6	for	for	ADP
ejpam-5892	84	7	each	each	DET
ejpam-5892	84	8	stencil	stencil	NOUN
ejpam-5892	84	9	,	,	PUNCT
ejpam-5892	84	10	generate	generate	VERB
ejpam-5892	84	11	k	k	PROPN
ejpam-5892	84	12	different	different	ADJ
ejpam-5892	84	13	reconstructions	reconstruction	NOUN
ejpam-5892	84	14	for	for	ADP
ejpam-5892	84	15	the	the	DET
ejpam-5892	84	16	solution	solution	NOUN
ejpam-5892	84	17	values	value	NOUN
ejpam-5892	84	18	at	at	ADP
ejpam-5892	84	19	the	the	DET
ejpam-5892	84	20	cell	cell	NOUN
ejpam-5892	84	21	boundaries	boundary	NOUN
ejpam-5892	84	22	xi±	xi±	PROPN
ejpam-5892	84	23	1	1	NUM
ejpam-5892	84	24	2	2	NUM
ejpam-5892	84	25	,	,	PUNCT
ejpam-5892	84	26	these	these	DET
ejpam-5892	84	27	reconstructions	reconstruction	NOUN
ejpam-5892	84	28	are	be	AUX
ejpam-5892	84	29	computed	compute	VERB
ejpam-5892	84	30	as	as	ADP
ejpam-5892	84	31	:	:	PUNCT
ejpam-5892	84	32	u	u	NOUN
ejpam-5892	84	33	(	(	PUNCT
ejpam-5892	84	34	r	r	NOUN
ejpam-5892	84	35	)	)	PUNCT
ejpam-5892	84	36	i+	i+	NUM
ejpam-5892	84	37	1	1	NUM
ejpam-5892	84	38	2	2	NUM
ejpam-5892	84	39	=	=	SYM
ejpam-5892	84	40	k−1∑	k−1∑	AUX
ejpam-5892	84	41	j=0	j=0	PROPN
ejpam-5892	84	42	crj	crj	PROPN
ejpam-5892	84	43	ūi−r+j	ūi−r+j	NOUN
ejpam-5892	84	44	,	,	PUNCT
ejpam-5892	84	45	u	u	NOUN
ejpam-5892	84	46	(	(	PUNCT
ejpam-5892	84	47	r	r	NOUN
ejpam-5892	84	48	)	)	PUNCT
ejpam-5892	84	49	i−	i−	ADJ
ejpam-5892	84	50	1	1	NUM
ejpam-5892	84	51	2	2	NUM
ejpam-5892	84	52	=	=	SYM
ejpam-5892	84	53	k−1∑	k−1∑	AUX
ejpam-5892	84	54	j=0	j=0	PROPN
ejpam-5892	84	55	c̃rj	c̃rj	NOUN
ejpam-5892	84	56	ūi−r+j	ūi−r+j	NOUN
ejpam-5892	84	57	,	,	PUNCT
ejpam-5892	84	58	(	(	PUNCT
ejpam-5892	84	59	12	12	NUM
ejpam-5892	84	60	)	)	PUNCT
ejpam-5892	84	61	where	where	SCONJ
ejpam-5892	84	62	crj	crj	PROPN
ejpam-5892	84	63	and	and	CCONJ
ejpam-5892	84	64	c̃rj	c̃rj	PROPN
ejpam-5892	84	65	are	be	AUX
ejpam-5892	84	66	the	the	DET
ejpam-5892	84	67	reconstructed	reconstructed	ADJ
ejpam-5892	84	68	value	value	NOUN
ejpam-5892	84	69	at	at	ADP
ejpam-5892	84	70	the	the	DET
ejpam-5892	84	71	cell	cell	NOUN
ejpam-5892	84	72	boundary	boundary	ADJ
ejpam-5892	84	73	xi+	xi+	PROPN
ejpam-5892	84	74	1	1	NUM
ejpam-5892	84	75	2	2	NUM
ejpam-5892	84	76	and	and	CCONJ
ejpam-5892	84	77	xi−	xi−	SYM
ejpam-5892	84	78	1	1	NUM
ejpam-5892	84	79	2	2	NUM
ejpam-5892	84	80	respectively	respectively	ADV
ejpam-5892	84	81	.	.	PUNCT
ejpam-5892	85	1	the	the	DET
ejpam-5892	85	2	key	key	NOUN
ejpam-5892	85	3	to	to	ADP
ejpam-5892	85	4	the	the	DET
ejpam-5892	85	5	success	success	NOUN
ejpam-5892	85	6	of	of	ADP
ejpam-5892	85	7	weno	weno	NOUN
ejpam-5892	85	8	would	would	AUX
ejpam-5892	85	9	be	be	AUX
ejpam-5892	85	10	the	the	DET
ejpam-5892	85	11	choice	choice	NOUN
ejpam-5892	85	12	of	of	ADP
ejpam-5892	85	13	the	the	DET
ejpam-5892	85	14	weights	weight	NOUN
ejpam-5892	85	15	ωr	ωr	PROPN
ejpam-5892	85	16	,	,	PUNCT
ejpam-5892	85	17	each	each	DET
ejpam-5892	85	18	stencil	stencil	PROPN
ejpam-5892	85	19	is	be	AUX
ejpam-5892	85	20	assigned	assign	VERB
ejpam-5892	85	21	a	a	DET
ejpam-5892	85	22	nonlinear	nonlinear	ADJ
ejpam-5892	85	23	weight	weight	NOUN
ejpam-5892	85	24	ωr	ωr	NOUN
ejpam-5892	85	25	,	,	PUNCT
ejpam-5892	85	26	which	which	PRON
ejpam-5892	85	27	is	be	AUX
ejpam-5892	85	28	computed	compute	VERB
ejpam-5892	85	29	based	base	VERB
ejpam-5892	85	30	on	on	ADP
ejpam-5892	85	31	the	the	DET
ejpam-5892	85	32	smoothness	smoothness	ADJ
ejpam-5892	85	33	indicators	indicator	NOUN
ejpam-5892	85	34	as	as	SCONJ
ejpam-5892	85	35	follows	follow	VERB
ejpam-5892	85	36	:	:	PUNCT
ejpam-5892	86	1	ωr	ωr	PROPN
ejpam-5892	86	2	=	=	SYM
ejpam-5892	86	3	αr∑k−1	αr∑k−1	PROPN
ejpam-5892	86	4	s=0	s=0	PROPN
ejpam-5892	86	5	αs	αs	INTJ
ejpam-5892	86	6	,	,	PUNCT
ejpam-5892	86	7	ω̃r	ω̃r	ADJ
ejpam-5892	86	8	=	=	SYM
ejpam-5892	86	9	α̃r∑k−1	α̃r∑k−1	PROPN
ejpam-5892	86	10	s=0	s=0	PROPN
ejpam-5892	86	11	α̃s	α̃s	NOUN
ejpam-5892	86	12	,	,	PUNCT
ejpam-5892	86	13	(	(	PUNCT
ejpam-5892	86	14	13	13	NUM
ejpam-5892	86	15	)	)	PUNCT
ejpam-5892	86	16	with	with	ADP
ejpam-5892	86	17	αr	αr	PROPN
ejpam-5892	86	18	=	=	SYM
ejpam-5892	86	19	dr	dr	PROPN
ejpam-5892	86	20	(	(	PUNCT
ejpam-5892	86	21	ε+	ε+	NOUN
ejpam-5892	86	22	βr	βr	NOUN
ejpam-5892	86	23	)	)	PUNCT
ejpam-5892	86	24	2	2	NUM
ejpam-5892	86	25	,	,	PUNCT
ejpam-5892	86	26	α̃r	α̃r	NOUN
ejpam-5892	86	27	=	=	PUNCT
ejpam-5892	86	28	d̃r	d̃r	X
ejpam-5892	86	29	(	(	PUNCT
ejpam-5892	86	30	ε+	ε+	NOUN
ejpam-5892	86	31	βr	βr	NOUN
ejpam-5892	86	32	)	)	PUNCT
ejpam-5892	86	33	2	2	NUM
ejpam-5892	86	34	,	,	PUNCT
ejpam-5892	86	35	r	r	NOUN
ejpam-5892	86	36	=	=	SYM
ejpam-5892	86	37	0	0	NUM
ejpam-5892	86	38	,	,	PUNCT
ejpam-5892	86	39	.	.	PUNCT
ejpam-5892	86	40	.	.	PUNCT
ejpam-5892	86	41	.	.	PUNCT
ejpam-5892	87	1	,	,	PUNCT
ejpam-5892	88	1	k	k	PROPN
ejpam-5892	89	1	−	−	PROPN
ejpam-5892	90	1	1	1	X
ejpam-5892	90	2	.	.	PUNCT
ejpam-5892	90	3	(	(	PUNCT
ejpam-5892	90	4	14	14	NUM
ejpam-5892	90	5	)	)	PUNCT
ejpam-5892	90	6	where	where	SCONJ
ejpam-5892	90	7	the	the	DET
ejpam-5892	90	8	nonlinear	nonlinear	ADJ
ejpam-5892	90	9	weights	weight	NOUN
ejpam-5892	90	10	satisfy	satisfy	VERB
ejpam-5892	90	11	:	:	PUNCT
ejpam-5892	90	12	ωr	ωr	ADJ
ejpam-5892	90	13	≥	≥	NOUN
ejpam-5892	90	14	0	0	NUM
ejpam-5892	90	15	,	,	PUNCT
ejpam-5892	90	16	∑k−1	∑k−1	X
ejpam-5892	90	17	r=0	r=0	X
ejpam-5892	90	18	ωr	ωr	NOUN
ejpam-5892	90	19	=	=	SYM
ejpam-5892	90	20	1	1	NUM
ejpam-5892	90	21	,	,	PUNCT
ejpam-5892	90	22	and	and	CCONJ
ejpam-5892	90	23	ε	ε	PROPN
ejpam-5892	90	24	is	be	AUX
ejpam-5892	90	25	a	a	DET
ejpam-5892	90	26	small	small	ADJ
ejpam-5892	90	27	number	number	NOUN
ejpam-5892	90	28	which	which	PRON
ejpam-5892	90	29	must	must	AUX
ejpam-5892	90	30	satisfy	satisfy	VERB
ejpam-5892	90	31	:	:	PUNCT
ejpam-5892	90	32	ε	ε	PROPN
ejpam-5892	90	33	≥	≥	PROPN
ejpam-5892	90	34	0	0	NUM
ejpam-5892	90	35	.	.	PUNCT
ejpam-5892	91	1	each	each	DET
ejpam-5892	91	2	stencil	stencil	PROPN
ejpam-5892	91	3	is	be	AUX
ejpam-5892	91	4	assigned	assign	VERB
ejpam-5892	91	5	a	a	DET
ejpam-5892	91	6	smoothness	smoothness	ADJ
ejpam-5892	91	7	indicator	indicator	NOUN
ejpam-5892	91	8	βr	βr	INTJ
ejpam-5892	91	9	that	that	PRON
ejpam-5892	91	10	is	be	AUX
ejpam-5892	91	11	used	use	VERB
ejpam-5892	91	12	to	to	PART
ejpam-5892	91	13	measure	measure	VERB
ejpam-5892	91	14	the	the	DET
ejpam-5892	91	15	smoothness	smoothness	NOUN
ejpam-5892	91	16	of	of	ADP
ejpam-5892	91	17	stencil	stencil	PROPN
ejpam-5892	91	18	polynomials	polynomial	NOUN
ejpam-5892	91	19	,	,	PUNCT
ejpam-5892	91	20	it	it	PRON
ejpam-5892	91	21	is	be	AUX
ejpam-5892	91	22	used	use	VERB
ejpam-5892	91	23	in	in	ADP
ejpam-5892	91	24	the	the	DET
ejpam-5892	91	25	calculation	calculation	NOUN
ejpam-5892	91	26	of	of	ADP
ejpam-5892	91	27	weights	weight	NOUN
ejpam-5892	91	28	,	,	PUNCT
ejpam-5892	91	29	and	and	CCONJ
ejpam-5892	91	30	it	it	PRON
ejpam-5892	91	31	constructs	construct	VERB
ejpam-5892	91	32	weights	weight	NOUN
ejpam-5892	91	33	such	such	ADJ
ejpam-5892	91	34	that	that	SCONJ
ejpam-5892	91	35	the	the	DET
ejpam-5892	91	36	discontinuity	discontinuity	NOUN
ejpam-5892	91	37	is	be	AUX
ejpam-5892	91	38	avoided	avoid	VERB
ejpam-5892	91	39	inside	inside	ADP
ejpam-5892	91	40	the	the	DET
ejpam-5892	91	41	stencil	stencil	PROPN
ejpam-5892	91	42	,	,	PUNCT
ejpam-5892	91	43	and	and	CCONJ
ejpam-5892	91	44	it	it	PRON
ejpam-5892	91	45	’s	’s	AUX
ejpam-5892	91	46	given	give	VERB
ejpam-5892	91	47	as	as	ADP
ejpam-5892	91	48	following	follow	VERB
ejpam-5892	91	49	:	:	PUNCT
ejpam-5892	91	50	βr	βr	CCONJ
ejpam-5892	91	51	=	=	PUNCT
ejpam-5892	91	52	k−1∑	k−1∑	PROPN
ejpam-5892	92	1	l=1	l=1	PROPN
ejpam-5892	92	2	∫	∫	PROPN
ejpam-5892	92	3	x	x	X
ejpam-5892	93	1	i+1	i+1	SYM
ejpam-5892	93	2	2	2	NUM
ejpam-5892	93	3	x	x	SYM
ejpam-5892	93	4	i−	i−	ADJ
ejpam-5892	93	5	1	1	NUM
ejpam-5892	93	6	2	2	NUM
ejpam-5892	93	7	∆x2l−1	∆x2l−1	NOUN
ejpam-5892	93	8	(	(	PUNCT
ejpam-5892	93	9	∂lpr(x	∂lpr(x	PROPN
ejpam-5892	93	10	)	)	PUNCT
ejpam-5892	93	11	∂xl	∂xl	PROPN
ejpam-5892	93	12	)	)	PUNCT
ejpam-5892	93	13	2	2	NUM
ejpam-5892	93	14	dx	dx	PROPN
ejpam-5892	93	15	,	,	PUNCT
ejpam-5892	93	16	∀r	∀r	X
ejpam-5892	93	17	=	=	SYM
ejpam-5892	93	18	0	0	NUM
ejpam-5892	93	19	,	,	PUNCT
ejpam-5892	93	20	.	.	PUNCT
ejpam-5892	93	21	.	.	PUNCT
ejpam-5892	93	22	.	.	PUNCT
ejpam-5892	94	1	,	,	PUNCT
ejpam-5892	95	1	k	k	PROPN
ejpam-5892	96	1	−	−	PROPN
ejpam-5892	97	1	1	1	X
ejpam-5892	97	2	.	.	PUNCT
ejpam-5892	97	3	(	(	PUNCT
ejpam-5892	97	4	15	15	NUM
ejpam-5892	97	5	)	)	PUNCT
ejpam-5892	97	6	t.	t.	NOUN
ejpam-5892	97	7	alfawaz	alfawaz	NOUN
ejpam-5892	97	8	,	,	PUNCT
ejpam-5892	97	9	a.m.	a.m.	PROPN
ejpam-5892	97	10	saeed	saeed	PROPN
ejpam-5892	97	11	/	/	SYM
ejpam-5892	97	12	eur	eur	PROPN
ejpam-5892	97	13	.	.	PUNCT
ejpam-5892	98	1	j.	j.	PROPN
ejpam-5892	98	2	pure	pure	PROPN
ejpam-5892	98	3	appl	appl	PROPN
ejpam-5892	98	4	.	.	PROPN
ejpam-5892	98	5	math	math	PROPN
ejpam-5892	98	6	,	,	PUNCT
ejpam-5892	98	7	18	18	NUM
ejpam-5892	98	8	(	(	PUNCT
ejpam-5892	98	9	2	2	NUM
ejpam-5892	98	10	)	)	PUNCT
ejpam-5892	98	11	(	(	PUNCT
ejpam-5892	98	12	2025	2025	NUM
ejpam-5892	98	13	)	)	PUNCT
ejpam-5892	98	14	,	,	PUNCT
ejpam-5892	98	15	5892	5892	NUM
ejpam-5892	98	16	6	6	NUM
ejpam-5892	98	17	of	of	ADP
ejpam-5892	98	18	17	17	NUM
ejpam-5892	98	19	the	the	DET
ejpam-5892	98	20	right	right	ADJ
ejpam-5892	98	21	-	-	PUNCT
ejpam-5892	98	22	hand	hand	NOUN
ejpam-5892	98	23	side	side	NOUN
ejpam-5892	98	24	of	of	ADP
ejpam-5892	98	25	equation	equation	NOUN
ejpam-5892	98	26	(	(	PUNCT
ejpam-5892	98	27	15	15	NUM
ejpam-5892	98	28	)	)	PUNCT
ejpam-5892	98	29	represents	represent	VERB
ejpam-5892	98	30	the	the	DET
ejpam-5892	98	31	sum	sum	NOUN
ejpam-5892	98	32	of	of	ADP
ejpam-5892	98	33	the	the	DET
ejpam-5892	98	34	squares	square	NOUN
ejpam-5892	98	35	of	of	ADP
ejpam-5892	98	36	scaled	scale	VERB
ejpam-5892	98	37	l2	l2	NOUN
ejpam-5892	98	38	norms	norm	NOUN
ejpam-5892	98	39	for	for	ADP
ejpam-5892	98	40	all	all	DET
ejpam-5892	98	41	the	the	DET
ejpam-5892	98	42	derivatives	derivative	NOUN
ejpam-5892	98	43	of	of	ADP
ejpam-5892	98	44	the	the	DET
ejpam-5892	98	45	interpolation	interpolation	NOUN
ejpam-5892	98	46	polynomial	polynomial	ADJ
ejpam-5892	98	47	pr(x	pr(x	NOUN
ejpam-5892	98	48	)	)	PUNCT
ejpam-5892	98	49	evaluated	evaluate	VERB
ejpam-5892	98	50	over	over	ADP
ejpam-5892	98	51	the	the	DET
ejpam-5892	98	52	specified	specify	VERB
ejpam-5892	98	53	interval	interval	NOUN
ejpam-5892	98	54	ii	ii	NOUN
ejpam-5892	98	55	on	on	ADP
ejpam-5892	98	56	the	the	DET
ejpam-5892	98	57	stencil	stencil	PROPN
ejpam-5892	98	58	sr(i	sr(i	NOUN
ejpam-5892	98	59	)	)	PUNCT
ejpam-5892	98	60	.	.	PUNCT
ejpam-5892	99	1	the	the	DET
ejpam-5892	99	2	factor	factor	NOUN
ejpam-5892	99	3	∆x2l−1	∆x2l−1	VERB
ejpam-5892	99	4	is	be	AUX
ejpam-5892	99	5	introduced	introduce	VERB
ejpam-5892	99	6	to	to	PART
ejpam-5892	99	7	remove	remove	VERB
ejpam-5892	99	8	any	any	DET
ejpam-5892	99	9	∆x	∆x	PROPN
ejpam-5892	99	10	dependency	dependency	NOUN
ejpam-5892	99	11	in	in	ADP
ejpam-5892	99	12	the	the	DET
ejpam-5892	99	13	derivatives	derivative	NOUN
ejpam-5892	99	14	.	.	PUNCT
ejpam-5892	100	1	if	if	SCONJ
ejpam-5892	100	2	the	the	DET
ejpam-5892	100	3	function	function	NOUN
ejpam-5892	100	4	u(x	u(x	VERB
ejpam-5892	100	5	)	)	PUNCT
ejpam-5892	100	6	is	be	AUX
ejpam-5892	100	7	smooth	smooth	ADJ
ejpam-5892	100	8	in	in	ADP
ejpam-5892	100	9	all	all	DET
ejpam-5892	100	10	the	the	DET
ejpam-5892	100	11	candidate	candidate	NOUN
ejpam-5892	100	12	stencils	stencil	NOUN
ejpam-5892	100	13	there	there	PRON
ejpam-5892	100	14	are	be	VERB
ejpam-5892	100	15	constants	constant	NOUN
ejpam-5892	100	16	dr	dr	PROPN
ejpam-5892	100	17	such	such	ADJ
ejpam-5892	100	18	that	that	SCONJ
ejpam-5892	100	19	ui+	ui+	ADJ
ejpam-5892	100	20	1	1	NUM
ejpam-5892	100	21	2	2	NUM
ejpam-5892	100	22	=	=	SYM
ejpam-5892	100	23	k−1∑	k−1∑	VERB
ejpam-5892	100	24	r=0	r=0	PROPN
ejpam-5892	100	25	dru	dru	NOUN
ejpam-5892	100	26	(	(	PUNCT
ejpam-5892	100	27	r	r	NOUN
ejpam-5892	100	28	)	)	PUNCT
ejpam-5892	100	29	i+	i+	NUM
ejpam-5892	100	30	1	1	NUM
ejpam-5892	100	31	2	2	NUM
ejpam-5892	100	32	=	=	SYM
ejpam-5892	100	33	u	u	NOUN
ejpam-5892	100	34	(	(	PUNCT
ejpam-5892	100	35	xi+	xi+	PROPN
ejpam-5892	100	36	1	1	NUM
ejpam-5892	100	37	2	2	NUM
ejpam-5892	100	38	)	)	PUNCT
ejpam-5892	101	1	+	+	NOUN
ejpam-5892	101	2	o	o	X
ejpam-5892	101	3	(	(	PUNCT
ejpam-5892	101	4	∆x2k−1	∆x2k−1	PROPN
ejpam-5892	101	5	)	)	PUNCT
ejpam-5892	101	6	,	,	PUNCT
ejpam-5892	101	7	(	(	PUNCT
ejpam-5892	101	8	16	16	NUM
ejpam-5892	101	9	)	)	PUNCT
ejpam-5892	101	10	ui−	ui−	NUM
ejpam-5892	101	11	1	1	NUM
ejpam-5892	101	12	2	2	NUM
ejpam-5892	101	13	=	=	SYM
ejpam-5892	101	14	k−1∑	k−1∑	PROPN
ejpam-5892	101	15	r=0	r=0	PROPN
ejpam-5892	101	16	d̃ru	d̃ru	PROPN
ejpam-5892	101	17	(	(	PUNCT
ejpam-5892	101	18	r	r	NOUN
ejpam-5892	101	19	)	)	PUNCT
ejpam-5892	101	20	i−	i−	ADJ
ejpam-5892	101	21	1	1	NUM
ejpam-5892	101	22	2	2	NUM
ejpam-5892	101	23	=	=	SYM
ejpam-5892	101	24	u	u	SYM
ejpam-5892	101	25	(	(	PUNCT
ejpam-5892	101	26	xi−	xi−	PROPN
ejpam-5892	101	27	1	1	NUM
ejpam-5892	101	28	2	2	NUM
ejpam-5892	101	29	)	)	PUNCT
ejpam-5892	102	1	+	+	NOUN
ejpam-5892	102	2	o	o	X
ejpam-5892	102	3	(	(	PUNCT
ejpam-5892	102	4	∆x2k−1	∆x2k−1	PROPN
ejpam-5892	102	5	)	)	PUNCT
ejpam-5892	102	6	,	,	PUNCT
ejpam-5892	102	7	(	(	PUNCT
ejpam-5892	102	8	17	17	NUM
ejpam-5892	102	9	)	)	PUNCT
ejpam-5892	102	10	where	where	SCONJ
ejpam-5892	102	11	dr	dr	PROPN
ejpam-5892	102	12	is	be	AUX
ejpam-5892	102	13	always	always	ADV
ejpam-5892	102	14	positive	positive	ADJ
ejpam-5892	102	15	and	and	CCONJ
ejpam-5892	102	16	∑k−1	∑k−1	NUM
ejpam-5892	102	17	r=0	r=0	PROPN
ejpam-5892	102	18	dr	dr	PROPN
ejpam-5892	102	19	=	=	PROPN
ejpam-5892	102	20	1	1	NUM
ejpam-5892	102	21	,	,	PUNCT
ejpam-5892	102	22	and	and	CCONJ
ejpam-5892	102	23	by	by	ADP
ejpam-5892	102	24	symmetry	symmetry	NOUN
ejpam-5892	102	25	d̃r	d̃r	NOUN
ejpam-5892	102	26	=	=	SYM
ejpam-5892	102	27	dk−1−r	dk−1−r	X
ejpam-5892	102	28	.	.	PUNCT
ejpam-5892	103	1	in	in	ADP
ejpam-5892	103	2	this	this	DET
ejpam-5892	103	3	smooth	smooth	ADJ
ejpam-5892	103	4	case	case	NOUN
ejpam-5892	103	5	,	,	PUNCT
ejpam-5892	103	6	to	to	PART
ejpam-5892	103	7	keep	keep	VERB
ejpam-5892	103	8	the	the	DET
ejpam-5892	103	9	order	order	NOUN
ejpam-5892	103	10	of	of	ADP
ejpam-5892	103	11	accuracy	accuracy	NOUN
ejpam-5892	103	12	(	(	PUNCT
ejpam-5892	103	13	2k	2k	NOUN
ejpam-5892	103	14	−	−	NOUN
ejpam-5892	103	15	1	1	NUM
ejpam-5892	103	16	)	)	PUNCT
ejpam-5892	103	17	,	,	PUNCT
ejpam-5892	103	18	then	then	ADV
ejpam-5892	103	19	ωr	ωr	PROPN
ejpam-5892	103	20	should	should	AUX
ejpam-5892	103	21	be	be	AUX
ejpam-5892	103	22	ωr	ωr	VERB
ejpam-5892	103	23	=	=	PUNCT
ejpam-5892	103	24	dr	dr	PROPN
ejpam-5892	103	25	+	+	PROPN
ejpam-5892	103	26	o	o	X
ejpam-5892	103	27	(	(	PUNCT
ejpam-5892	103	28	∆xk−1	∆xk−1	PROPN
ejpam-5892	103	29	)	)	PUNCT
ejpam-5892	103	30	,	,	PUNCT
ejpam-5892	103	31	r	r	NOUN
ejpam-5892	103	32	=	=	SYM
ejpam-5892	103	33	0	0	NUM
ejpam-5892	103	34	,	,	PUNCT
ejpam-5892	103	35	.	.	PUNCT
ejpam-5892	103	36	.	.	PUNCT
ejpam-5892	104	1	.	.	PUNCT
ejpam-5892	105	1	,	,	PUNCT
ejpam-5892	106	1	k	k	PROPN
ejpam-5892	107	1	−	−	PROPN
ejpam-5892	108	1	1	1	X
ejpam-5892	108	2	.	.	PUNCT
ejpam-5892	108	3	(	(	PUNCT
ejpam-5892	108	4	18	18	NUM
ejpam-5892	108	5	)	)	PUNCT
ejpam-5892	108	6	which	which	PRON
ejpam-5892	108	7	would	would	AUX
ejpam-5892	108	8	imply	imply	VERB
ejpam-5892	108	9	order	order	NOUN
ejpam-5892	108	10	of	of	ADP
ejpam-5892	108	11	accuracy	accuracy	NOUN
ejpam-5892	108	12	(	(	PUNCT
ejpam-5892	108	13	2k	2k	NOUN
ejpam-5892	108	14	−	−	PROPN
ejpam-5892	108	15	1)th	1)th	NOUN
ejpam-5892	108	16	order	order	NOUN
ejpam-5892	108	17	of	of	ADP
ejpam-5892	108	18	accuracy	accuracy	NOUN
ejpam-5892	108	19	u−	u−	PROPN
ejpam-5892	108	20	i+	i+	PUNCT
ejpam-5892	108	21	1	1	NUM
ejpam-5892	108	22	2	2	NUM
ejpam-5892	108	23	=	=	SYM
ejpam-5892	108	24	k−1∑	k−1∑	AUX
ejpam-5892	108	25	r=0	r=0	PROPN
ejpam-5892	108	26	ωru	ωru	NOUN
ejpam-5892	108	27	(	(	PUNCT
ejpam-5892	108	28	r	r	NOUN
ejpam-5892	108	29	)	)	PUNCT
ejpam-5892	108	30	i+	i+	NUM
ejpam-5892	108	31	1	1	NUM
ejpam-5892	108	32	2	2	NUM
ejpam-5892	108	33	=	=	SYM
ejpam-5892	108	34	u	u	NOUN
ejpam-5892	108	35	(	(	PUNCT
ejpam-5892	108	36	xi+	xi+	PROPN
ejpam-5892	108	37	1	1	NUM
ejpam-5892	108	38	2	2	NUM
ejpam-5892	108	39	)	)	PUNCT
ejpam-5892	109	1	+	+	NOUN
ejpam-5892	109	2	o	o	X
ejpam-5892	109	3	(	(	PUNCT
ejpam-5892	109	4	∆x2k−1	∆x2k−1	PROPN
ejpam-5892	109	5	)	)	PUNCT
ejpam-5892	109	6	,	,	PUNCT
ejpam-5892	109	7	(	(	PUNCT
ejpam-5892	109	8	19	19	NUM
ejpam-5892	109	9	)	)	PUNCT
ejpam-5892	109	10	u+	u+	NOUN
ejpam-5892	109	11	i−	i−	PROPN
ejpam-5892	109	12	1	1	NUM
ejpam-5892	109	13	2	2	NUM
ejpam-5892	109	14	=	=	SYM
ejpam-5892	109	15	k−1∑	k−1∑	VERB
ejpam-5892	109	16	r=0	r=0	PROPN
ejpam-5892	109	17	ω̃ru	ω̃ru	PROPN
ejpam-5892	109	18	(	(	PUNCT
ejpam-5892	109	19	r	r	NOUN
ejpam-5892	109	20	)	)	PUNCT
ejpam-5892	109	21	i−	i−	ADJ
ejpam-5892	109	22	1	1	NUM
ejpam-5892	109	23	2	2	NUM
ejpam-5892	109	24	=	=	SYM
ejpam-5892	109	25	u	u	SYM
ejpam-5892	109	26	(	(	PUNCT
ejpam-5892	109	27	xi−	xi−	PROPN
ejpam-5892	109	28	1	1	NUM
ejpam-5892	109	29	2	2	NUM
ejpam-5892	109	30	)	)	PUNCT
ejpam-5892	110	1	+	+	NOUN
ejpam-5892	110	2	o	o	X
ejpam-5892	110	3	(	(	PUNCT
ejpam-5892	110	4	∆x2k−1	∆x2k−1	PROPN
ejpam-5892	110	5	)	)	PUNCT
ejpam-5892	110	6	,	,	PUNCT
ejpam-5892	110	7	(	(	PUNCT
ejpam-5892	110	8	20	20	NUM
ejpam-5892	110	9	)	)	PUNCT
ejpam-5892	110	10	here	here	ADV
ejpam-5892	110	11	,	,	PUNCT
ejpam-5892	110	12	ωr	ωr	ADJ
ejpam-5892	110	13	and	and	CCONJ
ejpam-5892	110	14	ω̃r	ω̃r	NOUN
ejpam-5892	110	15	,	,	PUNCT
ejpam-5892	110	16	defined	define	VERB
ejpam-5892	110	17	in	in	ADP
ejpam-5892	110	18	(	(	PUNCT
ejpam-5892	110	19	13	13	NUM
ejpam-5892	110	20	)	)	PUNCT
ejpam-5892	110	21	,	,	PUNCT
ejpam-5892	110	22	are	be	AUX
ejpam-5892	110	23	constructed	construct	VERB
ejpam-5892	110	24	based	base	VERB
ejpam-5892	110	25	on	on	ADP
ejpam-5892	110	26	the	the	DET
ejpam-5892	110	27	smoothness	smoothness	ADJ
ejpam-5892	110	28	indicators	indicator	NOUN
ejpam-5892	110	29	[	[	X
ejpam-5892	110	30	13	13	NUM
ejpam-5892	110	31	,	,	PUNCT
ejpam-5892	110	32	15–18	15–18	NUM
ejpam-5892	110	33	]	]	PUNCT
ejpam-5892	110	34	.	.	PUNCT
ejpam-5892	111	1	5.2	5.2	NUM
ejpam-5892	111	2	.	.	PUNCT
ejpam-5892	111	3	time	time	NOUN
ejpam-5892	111	4	discretization	discretization	NOUN
ejpam-5892	111	5	for	for	ADP
ejpam-5892	111	6	weno	weno	NOUN
ejpam-5892	111	7	scheme	scheme	NOUN
ejpam-5892	111	8	after	after	SCONJ
ejpam-5892	111	9	the	the	DET
ejpam-5892	111	10	spatial	spatial	ADJ
ejpam-5892	111	11	derivative	derivative	NOUN
ejpam-5892	111	12	is	be	AUX
ejpam-5892	111	13	discretized	discretize	VERB
ejpam-5892	111	14	with	with	ADP
ejpam-5892	111	15	the	the	DET
ejpam-5892	111	16	weno	weno	PROPN
ejpam-5892	111	17	scheme	scheme	NOUN
ejpam-5892	111	18	,	,	PUNCT
ejpam-5892	111	19	a	a	DET
ejpam-5892	111	20	set	set	NOUN
ejpam-5892	111	21	of	of	ADP
ejpam-5892	111	22	ordinary	ordinary	ADJ
ejpam-5892	111	23	differential	differential	ADJ
ejpam-5892	111	24	equations	equation	NOUN
ejpam-5892	111	25	(	(	PUNCT
ejpam-5892	111	26	odes	ode	NOUN
ejpam-5892	111	27	)	)	PUNCT
ejpam-5892	111	28	is	be	AUX
ejpam-5892	111	29	obtained	obtain	VERB
ejpam-5892	111	30	as	as	ADP
ejpam-5892	111	31	:	:	PUNCT
ejpam-5892	111	32	du	du	NOUN
ejpam-5892	111	33	dt	dt	X
ejpam-5892	111	34	=	=	SYM
ejpam-5892	111	35	l(u	l(u	PROPN
ejpam-5892	111	36	)	)	PUNCT
ejpam-5892	111	37	,	,	PUNCT
ejpam-5892	111	38	(	(	PUNCT
ejpam-5892	111	39	21	21	NUM
ejpam-5892	111	40	)	)	PUNCT
ejpam-5892	111	41	where	where	SCONJ
ejpam-5892	111	42	l	l	NOUN
ejpam-5892	111	43	denotes	denote	VERB
ejpam-5892	111	44	the	the	DET
ejpam-5892	111	45	spatial	spatial	ADJ
ejpam-5892	111	46	discretization	discretization	NOUN
ejpam-5892	111	47	operator	operator	NOUN
ejpam-5892	111	48	represented	represent	VERB
ejpam-5892	111	49	in	in	ADP
ejpam-5892	111	50	(	(	PUNCT
ejpam-5892	111	51	8)	8)	NUM
ejpam-5892	111	52	.	.	PUNCT
ejpam-5892	112	1	the	the	DET
ejpam-5892	112	2	generalm	generalm	PROPN
ejpam-5892	112	3	-	-	PUNCT
ejpam-5892	112	4	stage	stage	NOUN
ejpam-5892	112	5	runge	runge	NOUN
ejpam-5892	112	6	-	-	PUNCT
ejpam-5892	112	7	kutta	kutta	NOUN
ejpam-5892	112	8	(	(	PUNCT
ejpam-5892	112	9	rk	rk	NOUN
ejpam-5892	112	10	)	)	PUNCT
ejpam-5892	112	11	method	method	NOUN
ejpam-5892	112	12	is	be	AUX
ejpam-5892	112	13	written	write	VERB
ejpam-5892	112	14	as	as	ADP
ejpam-5892	112	15	:	:	PUNCT
ejpam-5892	112	16	u(i	u(i	NOUN
ejpam-5892	112	17	)	)	PUNCT
ejpam-5892	112	18	=	=	PUNCT
ejpam-5892	112	19	i−1∑	i−1∑	NUM
ejpam-5892	112	20	k=0	k=0	PROPN
ejpam-5892	112	21	(	(	PUNCT
ejpam-5892	112	22	αiku	αiku	NOUN
ejpam-5892	112	23	(	(	PUNCT
ejpam-5892	112	24	k	k	NOUN
ejpam-5892	112	25	)	)	PUNCT
ejpam-5892	112	26	+	+	NOUN
ejpam-5892	112	27	∆tβikl	∆tβikl	NUM
ejpam-5892	112	28	(	(	PUNCT
ejpam-5892	112	29	u(k	u(k	PROPN
ejpam-5892	112	30	)	)	PUNCT
ejpam-5892	112	31	)	)	PUNCT
ejpam-5892	112	32	)	)	PUNCT
ejpam-5892	112	33	,	,	PUNCT
ejpam-5892	112	34	i	i	PRON
ejpam-5892	112	35	=	=	NOUN
ejpam-5892	112	36	1	1	NUM
ejpam-5892	112	37	,	,	PUNCT
ejpam-5892	112	38	.	.	PUNCT
ejpam-5892	112	39	.	.	PUNCT
ejpam-5892	112	40	.	.	PUNCT
ejpam-5892	113	1	,	,	PUNCT
ejpam-5892	113	2	m.	m.	NOUN
ejpam-5892	113	3	u(0	u(0	PROPN
ejpam-5892	113	4	)	)	PUNCT
ejpam-5892	113	5	=	=	SYM
ejpam-5892	113	6	u(n	u(n	PROPN
ejpam-5892	113	7	)	)	PUNCT
ejpam-5892	113	8	,	,	PUNCT
ejpam-5892	113	9	u(m	u(m	ADJ
ejpam-5892	113	10	)	)	PUNCT
ejpam-5892	113	11	=	=	SYM
ejpam-5892	114	1	u(n+1	u(n+1	NOUN
ejpam-5892	114	2	)	)	PUNCT
ejpam-5892	114	3	,	,	PUNCT
ejpam-5892	114	4	(	(	PUNCT
ejpam-5892	114	5	22	22	NUM
ejpam-5892	114	6	)	)	PUNCT
ejpam-5892	114	7	t.	t.	NOUN
ejpam-5892	114	8	alfawaz	alfawaz	NOUN
ejpam-5892	114	9	,	,	PUNCT
ejpam-5892	114	10	a.m.	a.m.	PROPN
ejpam-5892	114	11	saeed	saeed	PROPN
ejpam-5892	114	12	/	/	SYM
ejpam-5892	114	13	eur	eur	PROPN
ejpam-5892	114	14	.	.	PUNCT
ejpam-5892	115	1	j.	j.	PROPN
ejpam-5892	115	2	pure	pure	PROPN
ejpam-5892	115	3	appl	appl	PROPN
ejpam-5892	115	4	.	.	PROPN
ejpam-5892	115	5	math	math	PROPN
ejpam-5892	115	6	,	,	PUNCT
ejpam-5892	115	7	18	18	NUM
ejpam-5892	115	8	(	(	PUNCT
ejpam-5892	115	9	2	2	NUM
ejpam-5892	115	10	)	)	PUNCT
ejpam-5892	115	11	(	(	PUNCT
ejpam-5892	115	12	2025	2025	NUM
ejpam-5892	115	13	)	)	PUNCT
ejpam-5892	115	14	,	,	PUNCT
ejpam-5892	115	15	5892	5892	NUM
ejpam-5892	115	16	7	7	NUM
ejpam-5892	115	17	of	of	ADP
ejpam-5892	115	18	17	17	NUM
ejpam-5892	115	19	the	the	DET
ejpam-5892	115	20	set	set	NOUN
ejpam-5892	115	21	of	of	ADP
ejpam-5892	115	22	odes	ode	NOUN
ejpam-5892	115	23	in	in	ADP
ejpam-5892	115	24	this	this	DET
ejpam-5892	115	25	paper	paper	NOUN
ejpam-5892	115	26	can	can	AUX
ejpam-5892	115	27	be	be	AUX
ejpam-5892	115	28	discretized	discretize	VERB
ejpam-5892	115	29	by	by	ADP
ejpam-5892	115	30	a	a	DET
ejpam-5892	115	31	3rd	3rd	ADJ
ejpam-5892	115	32	-order	-order	NOUN
ejpam-5892	115	33	by	by	ADP
ejpam-5892	115	34	total	total	ADJ
ejpam-5892	115	35	variation	variation	NOUN
ejpam-5892	115	36	diminishing	diminishing	NOUN
ejpam-5892	115	37	(	(	PUNCT
ejpam-5892	115	38	tvd	tvd	NOUN
ejpam-5892	115	39	)	)	PUNCT
ejpam-5892	115	40	runge	runge	NOUN
ejpam-5892	115	41	-	-	PUNCT
ejpam-5892	115	42	kutta	kutta	NOUN
ejpam-5892	115	43	method	method	NOUN
ejpam-5892	115	44	as	as	SCONJ
ejpam-5892	115	45	follows	follow	VERB
ejpam-5892	115	46	[	[	X
ejpam-5892	115	47	13	13	NUM
ejpam-5892	115	48	,	,	PUNCT
ejpam-5892	115	49	19	19	NUM
ejpam-5892	115	50	]	]	PUNCT
ejpam-5892	115	51	:	:	PUNCT
ejpam-5892	116	1	u(1	u(1	PROPN
ejpam-5892	116	2	)	)	PUNCT
ejpam-5892	116	3	=	=	SYM
ejpam-5892	116	4	u(n	u(n	PROPN
ejpam-5892	116	5	)	)	PUNCT
ejpam-5892	117	1	+	+	NOUN
ejpam-5892	117	2	∆tl	∆tl	PROPN
ejpam-5892	117	3	(	(	PUNCT
ejpam-5892	117	4	u(n	u(n	PROPN
ejpam-5892	117	5	)	)	PUNCT
ejpam-5892	117	6	)	)	PUNCT
ejpam-5892	117	7	,	,	PUNCT
ejpam-5892	117	8	u(2	u(2	PROPN
ejpam-5892	117	9	)	)	PUNCT
ejpam-5892	117	10	=	=	SYM
ejpam-5892	117	11	3	3	NUM
ejpam-5892	117	12	4	4	NUM
ejpam-5892	117	13	u(n	u(n	NOUN
ejpam-5892	117	14	)	)	PUNCT
ejpam-5892	117	15	+	+	CCONJ
ejpam-5892	117	16	1	1	NUM
ejpam-5892	117	17	4	4	NUM
ejpam-5892	117	18	u(1	u(1	PROPN
ejpam-5892	117	19	)	)	PUNCT
ejpam-5892	117	20	+	+	CCONJ
ejpam-5892	117	21	1	1	NUM
ejpam-5892	117	22	4	4	NUM
ejpam-5892	117	23	∆tl	∆tl	PROPN
ejpam-5892	117	24	(	(	PUNCT
ejpam-5892	117	25	u(1	u(1	PROPN
ejpam-5892	117	26	)	)	PUNCT
ejpam-5892	117	27	)	)	PUNCT
ejpam-5892	117	28	,	,	PUNCT
ejpam-5892	117	29	u(n+1	u(n+1	PROPN
ejpam-5892	117	30	)	)	PUNCT
ejpam-5892	117	31	=	=	SYM
ejpam-5892	117	32	1	1	NUM
ejpam-5892	117	33	3	3	NUM
ejpam-5892	117	34	u(n	u(n	PROPN
ejpam-5892	117	35	)	)	PUNCT
ejpam-5892	117	36	+	+	CCONJ
ejpam-5892	117	37	2	2	NUM
ejpam-5892	117	38	3	3	NUM
ejpam-5892	117	39	u(2	u(2	NOUN
ejpam-5892	117	40	)	)	PUNCT
ejpam-5892	117	41	+	+	CCONJ
ejpam-5892	117	42	2	2	NUM
ejpam-5892	117	43	3	3	NUM
ejpam-5892	117	44	∆tl	∆tl	PROPN
ejpam-5892	117	45	(	(	PUNCT
ejpam-5892	117	46	u(2	u(2	PROPN
ejpam-5892	117	47	)	)	PUNCT
ejpam-5892	117	48	)	)	PUNCT
ejpam-5892	117	49	.	.	PUNCT
ejpam-5892	118	1	(	(	PUNCT
ejpam-5892	118	2	23	23	NUM
ejpam-5892	118	3	)	)	PUNCT
ejpam-5892	118	4	6	6	NUM
ejpam-5892	118	5	.	.	PUNCT
ejpam-5892	118	6	numerical	numerical	ADJ
ejpam-5892	118	7	experiments	experiment	NOUN
ejpam-5892	118	8	in	in	ADP
ejpam-5892	118	9	this	this	DET
ejpam-5892	118	10	section	section	NOUN
ejpam-5892	118	11	,	,	PUNCT
ejpam-5892	118	12	two	two	NUM
ejpam-5892	118	13	numerical	numerical	ADJ
ejpam-5892	118	14	experiments	experiment	NOUN
ejpam-5892	118	15	will	will	AUX
ejpam-5892	118	16	be	be	AUX
ejpam-5892	118	17	carried	carry	VERB
ejpam-5892	118	18	out	out	ADP
ejpam-5892	118	19	to	to	PART
ejpam-5892	118	20	solve	solve	VERB
ejpam-5892	118	21	linear	linear	ADJ
ejpam-5892	118	22	advection	advection	NOUN
ejpam-5892	118	23	of	of	ADP
ejpam-5892	118	24	multiple	multiple	ADJ
ejpam-5892	118	25	waves	wave	NOUN
ejpam-5892	118	26	and	and	CCONJ
ejpam-5892	118	27	two	two	NUM
ejpam-5892	118	28	-	-	PUNCT
ejpam-5892	118	29	dimensional	dimensional	ADJ
ejpam-5892	118	30	burgers	burger	NOUN
ejpam-5892	118	31	’	'	PUNCT
ejpam-5892	118	32	equation	equation	NOUN
ejpam-5892	118	33	with	with	ADP
ejpam-5892	118	34	diffusion	diffusion	NOUN
ejpam-5892	118	35	for	for	ADP
ejpam-5892	118	36	comparison	comparison	NOUN
ejpam-5892	118	37	purposes	purpose	NOUN
ejpam-5892	118	38	and	and	CCONJ
ejpam-5892	118	39	to	to	PART
ejpam-5892	118	40	verify	verify	VERB
ejpam-5892	118	41	the	the	DET
ejpam-5892	118	42	results	result	NOUN
ejpam-5892	118	43	.	.	PUNCT
ejpam-5892	119	1	6.1	6.1	NUM
ejpam-5892	119	2	.	.	PUNCT
ejpam-5892	120	1	linear	linear	ADJ
ejpam-5892	120	2	advection	advection	NOUN
ejpam-5892	120	3	of	of	ADP
ejpam-5892	120	4	multiple	multiple	ADJ
ejpam-5892	120	5	waves	wave	NOUN
ejpam-5892	120	6	considering	consider	VERB
ejpam-5892	120	7	the	the	DET
ejpam-5892	120	8	one	one	NUM
ejpam-5892	120	9	-	-	PUNCT
ejpam-5892	120	10	dimensional	dimensional	ADJ
ejpam-5892	120	11	linear	linear	ADJ
ejpam-5892	120	12	advection	advection	NOUN
ejpam-5892	120	13	equation	equation	NOUN
ejpam-5892	120	14	:	:	PUNCT
ejpam-5892	121	1	∂u	∂u	PROPN
ejpam-5892	121	2	∂t	∂t	PROPN
ejpam-5892	121	3	+	+	CCONJ
ejpam-5892	121	4	∂u	∂u	PROPN
ejpam-5892	121	5	∂x	∂x	PROPN
ejpam-5892	121	6	=	=	SYM
ejpam-5892	121	7	0	0	PROPN
ejpam-5892	121	8	,	,	PUNCT
ejpam-5892	121	9	(	(	PUNCT
ejpam-5892	121	10	24	24	NUM
ejpam-5892	121	11	)	)	PUNCT
ejpam-5892	121	12	with	with	ADP
ejpam-5892	121	13	the	the	DET
ejpam-5892	121	14	initial	initial	ADJ
ejpam-5892	121	15	condition	condition	NOUN
ejpam-5892	121	16	:	:	PUNCT
ejpam-5892	121	17	u(x	u(x	NOUN
ejpam-5892	121	18	,	,	PUNCT
ejpam-5892	121	19	0	0	NUM
ejpam-5892	121	20	)	)	PUNCT
ejpam-5892	121	21	=	=	VERB
ejpam-5892	121	22			NOUN
ejpam-5892	121	23	1	1	NUM
ejpam-5892	121	24	6	6	NUM
ejpam-5892	121	25	[	[	X
ejpam-5892	121	26	g(x−	g(x−	PROPN
ejpam-5892	121	27	1	1	NUM
ejpam-5892	121	28	,	,	PUNCT
ejpam-5892	121	29	β	β	X
ejpam-5892	121	30	,	,	PUNCT
ejpam-5892	121	31	z	z	NOUN
ejpam-5892	121	32	−	−	NOUN
ejpam-5892	121	33	θ	θ	X
ejpam-5892	121	34	)	)	PUNCT
ejpam-5892	121	35	+	+	NOUN
ejpam-5892	121	36	g(x−	g(x−	PROPN
ejpam-5892	121	37	1	1	NUM
ejpam-5892	121	38	,	,	PUNCT
ejpam-5892	121	39	β	β	X
ejpam-5892	121	40	,	,	PUNCT
ejpam-5892	121	41	z	z	PROPN
ejpam-5892	121	42	+	+	CCONJ
ejpam-5892	121	43	θ	θ	X
ejpam-5892	121	44	)	)	PUNCT
ejpam-5892	121	45	+	+	CCONJ
ejpam-5892	121	46	4g(x−	4g(x−	NUM
ejpam-5892	121	47	1	1	NUM
ejpam-5892	121	48	,	,	PUNCT
ejpam-5892	121	49	β	β	X
ejpam-5892	121	50	,	,	PUNCT
ejpam-5892	121	51	z	z	NOUN
ejpam-5892	121	52	)	)	PUNCT
ejpam-5892	121	53	]	]	X
ejpam-5892	121	54	,	,	PUNCT
ejpam-5892	121	55	if	if	SCONJ
ejpam-5892	121	56	0.2	0.2	NUM
ejpam-5892	121	57	≤	≤	NUM
ejpam-5892	121	58	x	x	X
ejpam-5892	121	59	<	<	X
ejpam-5892	121	60	0.4	0.4	NUM
ejpam-5892	121	61	,	,	PUNCT
ejpam-5892	121	62	1	1	NUM
ejpam-5892	121	63	,	,	PUNCT
ejpam-5892	121	64	if	if	SCONJ
ejpam-5892	121	65	0.6	0.6	NUM
ejpam-5892	121	66	≤	≤	NUM
ejpam-5892	121	67	x	x	SYM
ejpam-5892	121	68	≤	≤	NUM
ejpam-5892	121	69	0.8	0.8	NUM
ejpam-5892	121	70	,	,	PUNCT
ejpam-5892	121	71	1−	1−	NUM
ejpam-5892	121	72	|10(x−	|10(x−	DET
ejpam-5892	121	73	1.1)|	1.1)|	NUM
ejpam-5892	121	74	,	,	PUNCT
ejpam-5892	121	75	if	if	SCONJ
ejpam-5892	121	76	1.0	1.0	NUM
ejpam-5892	121	77	≤	≤	NUM
ejpam-5892	121	78	x	x	SYM
ejpam-5892	121	79	≤	≤	NUM
ejpam-5892	121	80	1.2	1.2	NUM
ejpam-5892	121	81	,	,	PUNCT
ejpam-5892	121	82	1	1	NUM
ejpam-5892	121	83	6	6	NUM
ejpam-5892	121	84	[	[	X
ejpam-5892	121	85	f	f	X
ejpam-5892	121	86	(	(	PUNCT
ejpam-5892	121	87	x−	x−	PROPN
ejpam-5892	121	88	1	1	NUM
ejpam-5892	121	89	,	,	PUNCT
ejpam-5892	121	90	α	α	NOUN
ejpam-5892	121	91	,	,	PUNCT
ejpam-5892	121	92	a−	a−	PROPN
ejpam-5892	121	93	θ	θ	PROPN
ejpam-5892	121	94	)	)	PUNCT
ejpam-5892	122	1	+	+	NUM
ejpam-5892	122	2	f	f	X
ejpam-5892	122	3	(	(	PUNCT
ejpam-5892	122	4	x−	x−	PROPN
ejpam-5892	122	5	1	1	NUM
ejpam-5892	122	6	,	,	PUNCT
ejpam-5892	122	7	α	α	NOUN
ejpam-5892	122	8	,	,	PUNCT
ejpam-5892	122	9	a+	a+	X
ejpam-5892	122	10	θ	θ	X
ejpam-5892	122	11	)	)	PUNCT
ejpam-5892	123	1	+	+	NUM
ejpam-5892	123	2	4f	4f	NUM
ejpam-5892	123	3	(	(	PUNCT
ejpam-5892	123	4	x−	x−	PROPN
ejpam-5892	123	5	1	1	NUM
ejpam-5892	123	6	,	,	PUNCT
ejpam-5892	123	7	α	α	PROPN
ejpam-5892	123	8	,	,	PUNCT
ejpam-5892	123	9	a	a	NOUN
ejpam-5892	123	10	)	)	PUNCT
ejpam-5892	123	11	]	]	X
ejpam-5892	123	12	,	,	PUNCT
ejpam-5892	123	13	if	if	SCONJ
ejpam-5892	123	14	1.4	1.4	NUM
ejpam-5892	123	15	≤	≤	NUM
ejpam-5892	123	16	x	x	X
ejpam-5892	123	17	<	<	X
ejpam-5892	123	18	1.6	1.6	NUM
ejpam-5892	123	19	,	,	PUNCT
ejpam-5892	123	20	0	0	NUM
ejpam-5892	123	21	,	,	PUNCT
ejpam-5892	123	22	otherwise	otherwise	ADV
ejpam-5892	123	23	,	,	PUNCT
ejpam-5892	123	24	(	(	PUNCT
ejpam-5892	123	25	25	25	NUM
ejpam-5892	123	26	)	)	PUNCT
ejpam-5892	124	1	where	where	SCONJ
ejpam-5892	124	2	:	:	PUNCT
ejpam-5892	124	3	g(x	g(x	NOUN
ejpam-5892	124	4	,	,	PUNCT
ejpam-5892	124	5	β	β	X
ejpam-5892	124	6	,	,	PUNCT
ejpam-5892	124	7	z	z	NOUN
ejpam-5892	124	8	)	)	PUNCT
ejpam-5892	124	9	=	=	NOUN
ejpam-5892	124	10	e−β(x−z)2	e−β(x−z)2	NOUN
ejpam-5892	124	11	,	,	PUNCT
ejpam-5892	124	12	f	f	PROPN
ejpam-5892	124	13	(	(	PUNCT
ejpam-5892	124	14	x	x	PROPN
ejpam-5892	124	15	,	,	PUNCT
ejpam-5892	124	16	α	α	PROPN
ejpam-5892	124	17	,	,	PUNCT
ejpam-5892	124	18	a	a	NOUN
ejpam-5892	124	19	)	)	PUNCT
ejpam-5892	124	20	=	=	SYM
ejpam-5892	124	21	√	√	NUM
ejpam-5892	124	22	max	max	PROPN
ejpam-5892	124	23	(	(	PUNCT
ejpam-5892	124	24	1−	1−	NUM
ejpam-5892	124	25	α2(x−	α2(x−	PRON
ejpam-5892	124	26	a)2	a)2	PROPN
ejpam-5892	124	27	,	,	PUNCT
ejpam-5892	124	28	0	0	NUM
ejpam-5892	124	29	)	)	PUNCT
ejpam-5892	124	30	.	.	PUNCT
ejpam-5892	125	1	(	(	PUNCT
ejpam-5892	125	2	26	26	NUM
ejpam-5892	125	3	)	)	PUNCT
ejpam-5892	125	4	with	with	ADP
ejpam-5892	125	5	parameters	parameter	NOUN
ejpam-5892	125	6	:	:	PUNCT
ejpam-5892	125	7	a	a	DET
ejpam-5892	125	8	=	=	SYM
ejpam-5892	125	9	0.5	0.5	NUM
ejpam-5892	125	10	,	,	PUNCT
ejpam-5892	125	11	z	z	NOUN
ejpam-5892	125	12	=	=	SYM
ejpam-5892	125	13	−0.7	−0.7	PROPN
ejpam-5892	125	14	,	,	PUNCT
ejpam-5892	125	15	θ	θ	X
ejpam-5892	125	16	=	=	PUNCT
ejpam-5892	125	17	0.005	0.005	NUM
ejpam-5892	125	18	,	,	PUNCT
ejpam-5892	125	19	α	α	NOUN
ejpam-5892	125	20	=	=	SYM
ejpam-5892	125	21	10	10	NUM
ejpam-5892	125	22	,	,	PUNCT
ejpam-5892	125	23	β	β	X
ejpam-5892	125	24	=	=	SYM
ejpam-5892	125	25	log(2	log(2	NOUN
ejpam-5892	125	26	)	)	PUNCT
ejpam-5892	125	27	36θ2	36θ2	NUM
ejpam-5892	125	28	.	.	PUNCT
ejpam-5892	126	1	(	(	PUNCT
ejpam-5892	126	2	27	27	NUM
ejpam-5892	126	3	)	)	PUNCT
ejpam-5892	126	4	the	the	DET
ejpam-5892	126	5	initial	initial	ADJ
ejpam-5892	126	6	condition	condition	NOUN
ejpam-5892	126	7	consists	consist	VERB
ejpam-5892	126	8	of	of	ADP
ejpam-5892	126	9	a	a	DET
ejpam-5892	126	10	gaussian	gaussian	ADJ
ejpam-5892	126	11	pulse	pulse	NOUN
ejpam-5892	126	12	,	,	PUNCT
ejpam-5892	126	13	a	a	DET
ejpam-5892	126	14	square	square	ADJ
ejpam-5892	126	15	wave	wave	NOUN
ejpam-5892	126	16	,	,	PUNCT
ejpam-5892	126	17	a	a	DET
ejpam-5892	126	18	sharp	sharp	ADJ
ejpam-5892	126	19	triangle	triangle	NOUN
ejpam-5892	126	20	wave	wave	NOUN
ejpam-5892	126	21	,	,	PUNCT
ejpam-5892	126	22	and	and	CCONJ
ejpam-5892	126	23	a	a	DET
ejpam-5892	126	24	half	half	NOUN
ejpam-5892	126	25	ellipse	ellipse	NOUN
ejpam-5892	126	26	arranged	arrange	VERB
ejpam-5892	126	27	from	from	ADP
ejpam-5892	126	28	the	the	DET
ejpam-5892	126	29	left	left	NOUN
ejpam-5892	126	30	to	to	ADP
ejpam-5892	126	31	the	the	DET
ejpam-5892	126	32	right	right	NOUN
ejpam-5892	126	33	in	in	ADP
ejpam-5892	126	34	the	the	DET
ejpam-5892	126	35	computational	computational	ADJ
ejpam-5892	126	36	domain	domain	NOUN
ejpam-5892	126	37	x	x	X
ejpam-5892	126	38	∈	∈	PROPN
ejpam-5892	127	1	[	[	X
ejpam-5892	127	2	0	0	NUM
ejpam-5892	127	3	,	,	PUNCT
ejpam-5892	127	4	2	2	NUM
ejpam-5892	127	5	]	]	PUNCT
ejpam-5892	127	6	.	.	PUNCT
ejpam-5892	128	1	the	the	DET
ejpam-5892	128	2	exact	exact	ADJ
ejpam-5892	128	3	solution	solution	NOUN
ejpam-5892	128	4	,	,	PUNCT
ejpam-5892	128	5	representing	represent	VERB
ejpam-5892	128	6	the	the	DET
ejpam-5892	128	7	theoretical	theoretical	ADJ
ejpam-5892	128	8	solution	solution	NOUN
ejpam-5892	128	9	for	for	ADP
ejpam-5892	128	10	the	the	DET
ejpam-5892	128	11	linear	linear	ADJ
ejpam-5892	128	12	advection	advection	NOUN
ejpam-5892	128	13	equation	equation	NOUN
ejpam-5892	128	14	with	with	ADP
ejpam-5892	128	15	a	a	DET
ejpam-5892	128	16	constant	constant	ADJ
ejpam-5892	128	17	propagation	propagation	NOUN
ejpam-5892	128	18	speed	speed	NOUN
ejpam-5892	128	19	c	c	NOUN
ejpam-5892	128	20	,	,	PUNCT
ejpam-5892	128	21	is	be	AUX
ejpam-5892	128	22	:	:	PUNCT
ejpam-5892	128	23	u(x	u(x	PROPN
ejpam-5892	128	24	,	,	PUNCT
ejpam-5892	128	25	t	t	NOUN
ejpam-5892	128	26	)	)	PUNCT
ejpam-5892	128	27	=	=	SYM
ejpam-5892	128	28	u0(x−	u0(x−	X
ejpam-5892	128	29	ct	ct	PROPN
ejpam-5892	128	30	)	)	PUNCT
ejpam-5892	128	31	.	.	PUNCT
ejpam-5892	129	1	(	(	PUNCT
ejpam-5892	129	2	28	28	NUM
ejpam-5892	129	3	)	)	PUNCT
ejpam-5892	129	4	t.	t.	NOUN
ejpam-5892	129	5	alfawaz	alfawaz	NOUN
ejpam-5892	129	6	,	,	PUNCT
ejpam-5892	129	7	a.m.	a.m.	PROPN
ejpam-5892	129	8	saeed	saeed	PROPN
ejpam-5892	129	9	/	/	SYM
ejpam-5892	129	10	eur	eur	PROPN
ejpam-5892	129	11	.	.	PUNCT
ejpam-5892	130	1	j.	j.	PROPN
ejpam-5892	130	2	pure	pure	PROPN
ejpam-5892	130	3	appl	appl	PROPN
ejpam-5892	130	4	.	.	PROPN
ejpam-5892	130	5	math	math	PROPN
ejpam-5892	130	6	,	,	PUNCT
ejpam-5892	130	7	18	18	NUM
ejpam-5892	130	8	(	(	PUNCT
ejpam-5892	130	9	2	2	NUM
ejpam-5892	130	10	)	)	PUNCT
ejpam-5892	130	11	(	(	PUNCT
ejpam-5892	130	12	2025	2025	NUM
ejpam-5892	130	13	)	)	PUNCT
ejpam-5892	130	14	,	,	PUNCT
ejpam-5892	130	15	5892	5892	NUM
ejpam-5892	130	16	8	8	NUM
ejpam-5892	130	17	of	of	ADP
ejpam-5892	130	18	17	17	NUM
ejpam-5892	130	19	figure	figure	NOUN
ejpam-5892	130	20	1	1	NUM
ejpam-5892	130	21	:	:	PUNCT
ejpam-5892	130	22	one	one	NUM
ejpam-5892	130	23	-	-	PUNCT
ejpam-5892	130	24	dimensional	dimensional	ADJ
ejpam-5892	130	25	linear	linear	ADJ
ejpam-5892	130	26	advection	advection	NOUN
ejpam-5892	130	27	of	of	ADP
ejpam-5892	130	28	multiple	multiple	ADJ
ejpam-5892	130	29	waves	wave	NOUN
ejpam-5892	130	30	in	in	ADP
ejpam-5892	130	31	showing	show	VERB
ejpam-5892	130	32	the	the	DET
ejpam-5892	130	33	exact	exact	ADJ
ejpam-5892	130	34	solution	solution	NOUN
ejpam-5892	130	35	vs.	vs.	ADP
ejpam-5892	130	36	the	the	DET
ejpam-5892	130	37	numerical	numerical	ADJ
ejpam-5892	130	38	solution	solution	NOUN
ejpam-5892	130	39	,	,	PUNCT
ejpam-5892	130	40	along	along	ADP
ejpam-5892	130	41	with	with	ADP
ejpam-5892	130	42	the	the	DET
ejpam-5892	130	43	u	u	NOUN
ejpam-5892	130	44	distributions	distribution	NOUN
ejpam-5892	130	45	obtained	obtain	VERB
ejpam-5892	130	46	from	from	ADP
ejpam-5892	130	47	the	the	DET
ejpam-5892	130	48	central	central	ADJ
ejpam-5892	130	49	differencing	difference	VERB
ejpam-5892	130	50	scheme	scheme	NOUN
ejpam-5892	130	51	at	at	ADP
ejpam-5892	130	52	simulation	simulation	NOUN
ejpam-5892	130	53	time	time	PROPN
ejpam-5892	130	54	t	t	PROPN
ejpam-5892	130	55	=	=	NUM
ejpam-5892	130	56	0.5	0.5	NUM
ejpam-5892	130	57	.	.	PUNCT
ejpam-5892	131	1	the	the	DET
ejpam-5892	131	2	spatial	spatial	ADJ
ejpam-5892	131	3	discretization	discretization	NOUN
ejpam-5892	131	4	is	be	AUX
ejpam-5892	131	5	performed	perform	VERB
ejpam-5892	131	6	on	on	ADP
ejpam-5892	131	7	200	200	NUM
ejpam-5892	131	8	uniform	uniform	ADJ
ejpam-5892	131	9	grid	grid	NOUN
ejpam-5892	131	10	points	point	NOUN
ejpam-5892	131	11	with	with	ADP
ejpam-5892	131	12	a	a	DET
ejpam-5892	131	13	courant	courant	ADJ
ejpam-5892	131	14	number	number	NOUN
ejpam-5892	131	15	of	of	ADP
ejpam-5892	131	16	cfl	cfl	NOUN
ejpam-5892	131	17	=	=	SYM
ejpam-5892	131	18	0.5	0.5	NUM
ejpam-5892	131	19	.	.	PUNCT
ejpam-5892	132	1	figure	figure	NOUN
ejpam-5892	132	2	2	2	NUM
ejpam-5892	132	3	:	:	PUNCT
ejpam-5892	132	4	one	one	NUM
ejpam-5892	132	5	-	-	PUNCT
ejpam-5892	132	6	dimensional	dimensional	ADJ
ejpam-5892	132	7	linear	linear	ADJ
ejpam-5892	132	8	advection	advection	NOUN
ejpam-5892	132	9	of	of	ADP
ejpam-5892	132	10	multiple	multiple	ADJ
ejpam-5892	132	11	waves	wave	NOUN
ejpam-5892	132	12	in	in	ADP
ejpam-5892	132	13	showing	show	VERB
ejpam-5892	132	14	the	the	DET
ejpam-5892	132	15	exact	exact	ADJ
ejpam-5892	132	16	solution	solution	NOUN
ejpam-5892	132	17	vs.	vs.	ADP
ejpam-5892	132	18	the	the	DET
ejpam-5892	132	19	numerical	numerical	ADJ
ejpam-5892	132	20	solution	solution	NOUN
ejpam-5892	132	21	,	,	PUNCT
ejpam-5892	132	22	along	along	ADP
ejpam-5892	132	23	with	with	ADP
ejpam-5892	132	24	the	the	DET
ejpam-5892	132	25	u	u	NOUN
ejpam-5892	132	26	distributions	distribution	NOUN
ejpam-5892	132	27	obtained	obtain	VERB
ejpam-5892	132	28	from	from	ADP
ejpam-5892	132	29	the	the	DET
ejpam-5892	132	30	upwind	upwind	NOUN
ejpam-5892	132	31	differencing	difference	VERB
ejpam-5892	132	32	scheme	scheme	NOUN
ejpam-5892	132	33	at	at	ADP
ejpam-5892	132	34	simulation	simulation	NOUN
ejpam-5892	132	35	time	time	PROPN
ejpam-5892	132	36	t	t	PROPN
ejpam-5892	132	37	=	=	NUM
ejpam-5892	132	38	0.5	0.5	NUM
ejpam-5892	132	39	.	.	PUNCT
ejpam-5892	133	1	the	the	DET
ejpam-5892	133	2	spatial	spatial	ADJ
ejpam-5892	133	3	discretization	discretization	NOUN
ejpam-5892	133	4	is	be	AUX
ejpam-5892	133	5	performed	perform	VERB
ejpam-5892	133	6	on	on	ADP
ejpam-5892	133	7	200	200	NUM
ejpam-5892	133	8	uniform	uniform	ADJ
ejpam-5892	133	9	grid	grid	NOUN
ejpam-5892	133	10	points	point	NOUN
ejpam-5892	133	11	with	with	ADP
ejpam-5892	133	12	a	a	DET
ejpam-5892	133	13	courant	courant	ADJ
ejpam-5892	133	14	number	number	NOUN
ejpam-5892	133	15	of	of	ADP
ejpam-5892	133	16	cfl	cfl	NOUN
ejpam-5892	133	17	=	=	NOUN
ejpam-5892	133	18	0.5	0.5	NUM
ejpam-5892	133	19	.	.	PUNCT
ejpam-5892	134	1	t.	t.	PROPN
ejpam-5892	134	2	alfawaz	alfawaz	PROPN
ejpam-5892	134	3	,	,	PUNCT
ejpam-5892	134	4	a.m.	a.m.	PROPN
ejpam-5892	134	5	saeed	saeed	PROPN
ejpam-5892	134	6	/	/	SYM
ejpam-5892	134	7	eur	eur	PROPN
ejpam-5892	134	8	.	.	PUNCT
ejpam-5892	135	1	j.	j.	PROPN
ejpam-5892	135	2	pure	pure	PROPN
ejpam-5892	135	3	appl	appl	PROPN
ejpam-5892	135	4	.	.	PROPN
ejpam-5892	135	5	math	math	PROPN
ejpam-5892	135	6	,	,	PUNCT
ejpam-5892	135	7	18	18	NUM
ejpam-5892	135	8	(	(	PUNCT
ejpam-5892	135	9	2	2	NUM
ejpam-5892	135	10	)	)	PUNCT
ejpam-5892	135	11	(	(	PUNCT
ejpam-5892	135	12	2025	2025	NUM
ejpam-5892	135	13	)	)	PUNCT
ejpam-5892	135	14	,	,	PUNCT
ejpam-5892	135	15	5892	5892	NUM
ejpam-5892	135	16	9	9	NUM
ejpam-5892	135	17	of	of	ADP
ejpam-5892	135	18	17	17	NUM
ejpam-5892	135	19	figure	figure	NOUN
ejpam-5892	135	20	3	3	NUM
ejpam-5892	135	21	:	:	PUNCT
ejpam-5892	135	22	one	one	NUM
ejpam-5892	135	23	-	-	PUNCT
ejpam-5892	135	24	dimensional	dimensional	ADJ
ejpam-5892	135	25	linear	linear	ADJ
ejpam-5892	135	26	advection	advection	NOUN
ejpam-5892	135	27	of	of	ADP
ejpam-5892	135	28	multiple	multiple	ADJ
ejpam-5892	135	29	waves	wave	NOUN
ejpam-5892	135	30	in	in	ADP
ejpam-5892	135	31	showing	show	VERB
ejpam-5892	135	32	the	the	DET
ejpam-5892	135	33	exact	exact	ADJ
ejpam-5892	135	34	solution	solution	NOUN
ejpam-5892	135	35	vs.	vs.	ADP
ejpam-5892	135	36	the	the	DET
ejpam-5892	135	37	numerical	numerical	ADJ
ejpam-5892	135	38	solution	solution	NOUN
ejpam-5892	135	39	,	,	PUNCT
ejpam-5892	135	40	along	along	ADP
ejpam-5892	135	41	with	with	ADP
ejpam-5892	135	42	the	the	DET
ejpam-5892	135	43	u	u	NOUN
ejpam-5892	135	44	distributions	distribution	NOUN
ejpam-5892	135	45	obtained	obtain	VERB
ejpam-5892	135	46	from	from	ADP
ejpam-5892	135	47	the	the	DET
ejpam-5892	135	48	weno3	weno3	NOUN
ejpam-5892	135	49	scheme	scheme	NOUN
ejpam-5892	135	50	at	at	ADP
ejpam-5892	135	51	simulation	simulation	NOUN
ejpam-5892	135	52	time	time	PROPN
ejpam-5892	135	53	t	t	PROPN
ejpam-5892	135	54	=	=	NUM
ejpam-5892	135	55	0.5	0.5	NUM
ejpam-5892	135	56	.	.	PUNCT
ejpam-5892	136	1	the	the	DET
ejpam-5892	136	2	spatial	spatial	ADJ
ejpam-5892	136	3	discretization	discretization	NOUN
ejpam-5892	136	4	is	be	AUX
ejpam-5892	136	5	performed	perform	VERB
ejpam-5892	136	6	on	on	ADP
ejpam-5892	136	7	200	200	NUM
ejpam-5892	136	8	uniform	uniform	ADJ
ejpam-5892	136	9	grid	grid	NOUN
ejpam-5892	136	10	points	point	NOUN
ejpam-5892	136	11	with	with	ADP
ejpam-5892	136	12	a	a	DET
ejpam-5892	136	13	courant	courant	ADJ
ejpam-5892	136	14	number	number	NOUN
ejpam-5892	136	15	of	of	ADP
ejpam-5892	136	16	cfl	cfl	NOUN
ejpam-5892	136	17	=	=	SYM
ejpam-5892	136	18	0.5	0.5	NUM
ejpam-5892	136	19	.	.	PUNCT
ejpam-5892	137	1	figure	figure	VERB
ejpam-5892	137	2	4	4	NUM
ejpam-5892	137	3	:	:	PUNCT
ejpam-5892	137	4	one	one	NUM
ejpam-5892	137	5	-	-	PUNCT
ejpam-5892	137	6	dimensional	dimensional	ADJ
ejpam-5892	137	7	linear	linear	ADJ
ejpam-5892	137	8	advection	advection	NOUN
ejpam-5892	137	9	of	of	ADP
ejpam-5892	137	10	multiple	multiple	ADJ
ejpam-5892	137	11	waves	wave	NOUN
ejpam-5892	137	12	in	in	ADP
ejpam-5892	137	13	showing	show	VERB
ejpam-5892	137	14	the	the	DET
ejpam-5892	137	15	exact	exact	ADJ
ejpam-5892	137	16	solution	solution	NOUN
ejpam-5892	137	17	vs.	vs.	ADP
ejpam-5892	137	18	the	the	DET
ejpam-5892	137	19	numerical	numerical	ADJ
ejpam-5892	137	20	solution	solution	NOUN
ejpam-5892	137	21	,	,	PUNCT
ejpam-5892	137	22	along	along	ADP
ejpam-5892	137	23	with	with	ADP
ejpam-5892	137	24	the	the	DET
ejpam-5892	137	25	u	u	NOUN
ejpam-5892	137	26	distributions	distribution	NOUN
ejpam-5892	137	27	obtained	obtain	VERB
ejpam-5892	137	28	from	from	ADP
ejpam-5892	137	29	the	the	DET
ejpam-5892	137	30	weno5	weno5	PROPN
ejpam-5892	137	31	scheme	scheme	NOUN
ejpam-5892	137	32	at	at	ADP
ejpam-5892	137	33	simulation	simulation	NOUN
ejpam-5892	137	34	time	time	PROPN
ejpam-5892	137	35	t	t	PROPN
ejpam-5892	137	36	=	=	NUM
ejpam-5892	137	37	0.5	0.5	NUM
ejpam-5892	137	38	.	.	PUNCT
ejpam-5892	138	1	the	the	DET
ejpam-5892	138	2	spatial	spatial	ADJ
ejpam-5892	138	3	discretization	discretization	NOUN
ejpam-5892	138	4	is	be	AUX
ejpam-5892	138	5	performed	perform	VERB
ejpam-5892	138	6	on	on	ADP
ejpam-5892	138	7	200	200	NUM
ejpam-5892	138	8	uniform	uniform	ADJ
ejpam-5892	138	9	grid	grid	NOUN
ejpam-5892	138	10	points	point	NOUN
ejpam-5892	138	11	with	with	ADP
ejpam-5892	138	12	a	a	DET
ejpam-5892	138	13	courant	courant	ADJ
ejpam-5892	138	14	number	number	NOUN
ejpam-5892	138	15	of	of	ADP
ejpam-5892	138	16	cfl	cfl	NOUN
ejpam-5892	138	17	=	=	NOUN
ejpam-5892	138	18	0.5	0.5	NUM
ejpam-5892	138	19	.	.	PUNCT
ejpam-5892	139	1	t.	t.	PROPN
ejpam-5892	139	2	alfawaz	alfawaz	PROPN
ejpam-5892	139	3	,	,	PUNCT
ejpam-5892	139	4	a.m.	a.m.	PROPN
ejpam-5892	139	5	saeed	saeed	PROPN
ejpam-5892	139	6	/	/	SYM
ejpam-5892	139	7	eur	eur	PROPN
ejpam-5892	139	8	.	.	PUNCT
ejpam-5892	140	1	j.	j.	PROPN
ejpam-5892	140	2	pure	pure	PROPN
ejpam-5892	140	3	appl	appl	PROPN
ejpam-5892	140	4	.	.	PROPN
ejpam-5892	140	5	math	math	PROPN
ejpam-5892	140	6	,	,	PUNCT
ejpam-5892	140	7	18	18	NUM
ejpam-5892	140	8	(	(	PUNCT
ejpam-5892	140	9	2	2	NUM
ejpam-5892	140	10	)	)	PUNCT
ejpam-5892	140	11	(	(	PUNCT
ejpam-5892	140	12	2025	2025	NUM
ejpam-5892	140	13	)	)	PUNCT
ejpam-5892	140	14	,	,	PUNCT
ejpam-5892	140	15	5892	5892	NUM
ejpam-5892	140	16	10	10	NUM
ejpam-5892	140	17	of	of	ADP
ejpam-5892	140	18	17	17	NUM
ejpam-5892	140	19	table	table	NOUN
ejpam-5892	140	20	1	1	NUM
ejpam-5892	140	21	:	:	PUNCT
ejpam-5892	140	22	error	error	NOUN
ejpam-5892	140	23	analysis	analysis	NOUN
ejpam-5892	140	24	for	for	ADP
ejpam-5892	140	25	central	central	ADJ
ejpam-5892	140	26	differencing	difference	VERB
ejpam-5892	140	27	scheme	scheme	NOUN
ejpam-5892	140	28	in	in	ADP
ejpam-5892	140	29	fvm	fvm	ADJ
ejpam-5892	140	30	framework	framework	NOUN
ejpam-5892	140	31	at	at	ADP
ejpam-5892	140	32	cfl	cfl	NOUN
ejpam-5892	140	33	=	=	SYM
ejpam-5892	140	34	0.5	0.5	NUM
ejpam-5892	140	35	.	.	PUNCT
ejpam-5892	141	1	nx	nx	PROPN
ejpam-5892	141	2	scheme	scheme	NOUN
ejpam-5892	141	3	central	central	ADJ
ejpam-5892	141	4	differencing	difference	VERB
ejpam-5892	141	5	scheme	scheme	NOUN
ejpam-5892	141	6	l1	l1	PROPN
ejpam-5892	141	7	error	error	NOUN
ejpam-5892	141	8	0.65607	0.65607	NUM
ejpam-5892	141	9	l2	l2	NOUN
ejpam-5892	141	10	error	error	NOUN
ejpam-5892	141	11	0.5954225	0.5954225	NUM
ejpam-5892	141	12	l∞	l∞	NOUN
ejpam-5892	141	13	error	error	NOUN
ejpam-5892	141	14	0.94175	0.94175	NUM
ejpam-5892	141	15	l1	l1	PROPN
ejpam-5892	141	16	error	error	NOUN
ejpam-5892	141	17	0.48812	0.48812	NUM
ejpam-5892	141	18	l2	l2	NOUN
ejpam-5892	141	19	error	error	NOUN
ejpam-5892	141	20	0.4425450	0.4425450	NUM
ejpam-5892	141	21	l∞	l∞	NOUN
ejpam-5892	141	22	error	error	NOUN
ejpam-5892	141	23	0.68826	0.68826	NUM
ejpam-5892	141	24	l1	l1	PROPN
ejpam-5892	141	25	error	error	NOUN
ejpam-5892	141	26	0.4083	0.4083	NUM
ejpam-5892	141	27	l2	l2	NOUN
ejpam-5892	141	28	error	error	NOUN
ejpam-5892	141	29	0.39903100	0.39903100	NUM
ejpam-5892	141	30	l∞	l∞	NOUN
ejpam-5892	141	31	error	error	NOUN
ejpam-5892	141	32	0.93897	0.93897	NUM
ejpam-5892	141	33	l1	l1	PROPN
ejpam-5892	141	34	error	error	NOUN
ejpam-5892	141	35	0.39833	0.39833	NUM
ejpam-5892	141	36	l2	l2	NOUN
ejpam-5892	141	37	error	error	NOUN
ejpam-5892	141	38	0.43939200	0.43939200	NUM
ejpam-5892	141	39	l∞	l∞	NOUN
ejpam-5892	141	40	error	error	NOUN
ejpam-5892	141	41	1.1754	1.1754	NUM
ejpam-5892	141	42	table	table	NOUN
ejpam-5892	141	43	2	2	NUM
ejpam-5892	141	44	:	:	PUNCT
ejpam-5892	141	45	error	error	NOUN
ejpam-5892	141	46	analysis	analysis	NOUN
ejpam-5892	141	47	for	for	ADP
ejpam-5892	141	48	upwind	upwind	NOUN
ejpam-5892	141	49	differencing	difference	VERB
ejpam-5892	141	50	scheme	scheme	NOUN
ejpam-5892	141	51	in	in	ADP
ejpam-5892	141	52	fvm	fvm	ADJ
ejpam-5892	141	53	framework	framework	NOUN
ejpam-5892	141	54	at	at	ADP
ejpam-5892	141	55	cfl	cfl	NOUN
ejpam-5892	141	56	=	=	SYM
ejpam-5892	141	57	0.5	0.5	NUM
ejpam-5892	141	58	.	.	PUNCT
ejpam-5892	141	59	nx	nx	PROPN
ejpam-5892	141	60	scheme	scheme	NOUN
ejpam-5892	141	61	upwind	upwind	NOUN
ejpam-5892	141	62	differencing	difference	VERB
ejpam-5892	141	63	scheme	scheme	NOUN
ejpam-5892	141	64	l1	l1	PROPN
ejpam-5892	141	65	error	error	NOUN
ejpam-5892	141	66	0.50568	0.50568	NUM
ejpam-5892	141	67	l2	l2	NOUN
ejpam-5892	141	68	error	error	NOUN
ejpam-5892	141	69	0.424525	0.424525	NUM
ejpam-5892	141	70	l∞	l∞	NOUN
ejpam-5892	141	71	error	error	NOUN
ejpam-5892	141	72	0.60352	0.60352	NUM
ejpam-5892	141	73	l1	l1	NOUN
ejpam-5892	141	74	error	error	NOUN
ejpam-5892	141	75	0.37711	0.37711	NUM
ejpam-5892	141	76	l2	l2	NOUN
ejpam-5892	141	77	error	error	NOUN
ejpam-5892	141	78	0.3384950	0.3384950	NUM
ejpam-5892	141	79	l∞	l∞	NOUN
ejpam-5892	141	80	error	error	NOUN
ejpam-5892	141	81	0.63623	0.63623	NUM
ejpam-5892	141	82	l1	l1	PROPN
ejpam-5892	141	83	error	error	NOUN
ejpam-5892	141	84	0.27896	0.27896	NUM
ejpam-5892	141	85	l2	l2	NOUN
ejpam-5892	141	86	error	error	NOUN
ejpam-5892	141	87	0.27365100	0.27365100	NUM
ejpam-5892	141	88	l∞	l∞	NOUN
ejpam-5892	141	89	error	error	NOUN
ejpam-5892	141	90	0.61025	0.61025	NUM
ejpam-5892	141	91	l1	l1	PROPN
ejpam-5892	141	92	error	error	NOUN
ejpam-5892	141	93	0.18559	0.18559	NUM
ejpam-5892	141	94	l2	l2	NOUN
ejpam-5892	141	95	error	error	NOUN
ejpam-5892	141	96	0.20518200	0.20518200	NUM
ejpam-5892	141	97	l∞	l∞	NOUN
ejpam-5892	141	98	error	error	NOUN
ejpam-5892	141	99	0.47363	0.47363	NUM
ejpam-5892	141	100	t.	t.	NOUN
ejpam-5892	141	101	alfawaz	alfawaz	NOUN
ejpam-5892	141	102	,	,	PUNCT
ejpam-5892	141	103	a.m.	a.m.	PROPN
ejpam-5892	141	104	saeed	saeed	PROPN
ejpam-5892	141	105	/	/	SYM
ejpam-5892	141	106	eur	eur	PROPN
ejpam-5892	141	107	.	.	PUNCT
ejpam-5892	142	1	j.	j.	PROPN
ejpam-5892	142	2	pure	pure	PROPN
ejpam-5892	142	3	appl	appl	PROPN
ejpam-5892	142	4	.	.	PROPN
ejpam-5892	142	5	math	math	PROPN
ejpam-5892	142	6	,	,	PUNCT
ejpam-5892	142	7	18	18	NUM
ejpam-5892	142	8	(	(	PUNCT
ejpam-5892	142	9	2	2	NUM
ejpam-5892	142	10	)	)	PUNCT
ejpam-5892	142	11	(	(	PUNCT
ejpam-5892	142	12	2025	2025	NUM
ejpam-5892	142	13	)	)	PUNCT
ejpam-5892	142	14	,	,	PUNCT
ejpam-5892	142	15	5892	5892	NUM
ejpam-5892	142	16	11	11	NUM
ejpam-5892	142	17	of	of	ADP
ejpam-5892	142	18	17	17	NUM
ejpam-5892	142	19	table	table	NOUN
ejpam-5892	142	20	3	3	NUM
ejpam-5892	142	21	:	:	PUNCT
ejpam-5892	142	22	error	error	NOUN
ejpam-5892	142	23	analysis	analysis	NOUN
ejpam-5892	142	24	for	for	ADP
ejpam-5892	142	25	weno3	weno3	NOUN
ejpam-5892	142	26	and	and	CCONJ
ejpam-5892	142	27	weno5	weno5	VERB
ejpam-5892	142	28	in	in	ADP
ejpam-5892	142	29	fvm	fvm	ADJ
ejpam-5892	142	30	framework	framework	NOUN
ejpam-5892	142	31	at	at	ADP
ejpam-5892	142	32	cfl	cfl	NOUN
ejpam-5892	142	33	=	=	SYM
ejpam-5892	142	34	0.5	0.5	NUM
ejpam-5892	142	35	.	.	PUNCT
ejpam-5892	143	1	nx	nx	PROPN
ejpam-5892	143	2	scheme	scheme	PROPN
ejpam-5892	143	3	weno3	weno3	NOUN
ejpam-5892	143	4	weno5	weno5	PROPN
ejpam-5892	143	5	l1	l1	PROPN
ejpam-5892	143	6	error	error	NOUN
ejpam-5892	143	7	0.47798	0.47798	NUM
ejpam-5892	143	8	0.34751	0.34751	NUM
ejpam-5892	143	9	l2	l2	NOUN
ejpam-5892	143	10	error	error	NOUN
ejpam-5892	143	11	0.41071	0.41071	NUM
ejpam-5892	143	12	0.3282925	0.3282925	NUM
ejpam-5892	143	13	l∞	l∞	NOUN
ejpam-5892	143	14	error	error	NOUN
ejpam-5892	143	15	0.68641	0.68641	NUM
ejpam-5892	143	16	0.6715	0.6715	NUM
ejpam-5892	143	17	l1	l1	PROPN
ejpam-5892	143	18	error	error	NOUN
ejpam-5892	143	19	0.27409	0.27409	NUM
ejpam-5892	143	20	0.18028	0.18028	NUM
ejpam-5892	143	21	l2	l2	NOUN
ejpam-5892	143	22	error	error	NOUN
ejpam-5892	143	23	0.26617	0.26617	NUM
ejpam-5892	143	24	0.2062550	0.2062550	NUM
ejpam-5892	143	25	l∞	l∞	NOUN
ejpam-5892	143	26	error	error	NOUN
ejpam-5892	143	27	0.58412	0.58412	NUM
ejpam-5892	143	28	0.45793	0.45793	NUM
ejpam-5892	143	29	l1	l1	PROPN
ejpam-5892	143	30	error	error	NOUN
ejpam-5892	143	31	0.15712	0.15712	NOUN
ejpam-5892	143	32	0.089675	0.089675	NUM
ejpam-5892	143	33	l2	l2	NOUN
ejpam-5892	143	34	error	error	NOUN
ejpam-5892	143	35	0.18883	0.18883	NUM
ejpam-5892	143	36	0.13884100	0.13884100	NUM
ejpam-5892	143	37	l∞	l∞	NOUN
ejpam-5892	143	38	error	error	NOUN
ejpam-5892	143	39	0.51135	0.51135	NUM
ejpam-5892	143	40	0.50284	0.50284	NUM
ejpam-5892	143	41	l1	l1	PROPN
ejpam-5892	143	42	error	error	NOUN
ejpam-5892	143	43	0.077098	0.077098	NUM
ejpam-5892	143	44	0.035365	0.035365	NUM
ejpam-5892	143	45	l2	l2	NOUN
ejpam-5892	143	46	error	error	NOUN
ejpam-5892	143	47	0.11764	0.11764	NUM
ejpam-5892	143	48	0.083419200	0.083419200	NUM
ejpam-5892	143	49	l∞	l∞	NOUN
ejpam-5892	143	50	error	error	NOUN
ejpam-5892	143	51	0.40532	0.40532	NUM
ejpam-5892	143	52	0.36654	0.36654	NUM
ejpam-5892	143	53	6.2	6.2	NUM
ejpam-5892	143	54	.	.	PUNCT
ejpam-5892	144	1	burgers	burger	NOUN
ejpam-5892	144	2	’	'	PUNCT
ejpam-5892	144	3	equation	equation	NOUN
ejpam-5892	144	4	with	with	ADP
ejpam-5892	144	5	diffusion	diffusion	NOUN
ejpam-5892	144	6	considering	consider	VERB
ejpam-5892	144	7	the	the	DET
ejpam-5892	144	8	two	two	NUM
ejpam-5892	144	9	-	-	PUNCT
ejpam-5892	144	10	dimensional	dimensional	ADJ
ejpam-5892	144	11	burgers	burger	NOUN
ejpam-5892	144	12	’	'	PUNCT
ejpam-5892	144	13	equation	equation	NOUN
ejpam-5892	144	14	with	with	ADP
ejpam-5892	144	15	diffusion	diffusion	NOUN
ejpam-5892	144	16	:	:	PUNCT
ejpam-5892	144	17	ut	ut	PROPN
ejpam-5892	145	1	+	+	CCONJ
ejpam-5892	145	2	a	a	DET
ejpam-5892	145	3	[	[	X
ejpam-5892	145	4	(	(	PUNCT
ejpam-5892	145	5	u2	u2	PROPN
ejpam-5892	145	6	2	2	NUM
ejpam-5892	145	7	)	)	PUNCT
ejpam-5892	145	8	x	x	PUNCT
ejpam-5892	146	1	+	+	CCONJ
ejpam-5892	146	2	(	(	PUNCT
ejpam-5892	146	3	u2	u2	PROPN
ejpam-5892	146	4	2	2	PROPN
ejpam-5892	146	5	)	)	PUNCT
ejpam-5892	146	6	y	y	PROPN
ejpam-5892	146	7	]	]	PUNCT
ejpam-5892	146	8	−d	−d	PROPN
ejpam-5892	146	9	(	(	PUNCT
ejpam-5892	146	10	uxx	uxx	PROPN
ejpam-5892	146	11	+	+	CCONJ
ejpam-5892	146	12	uyy	uyy	PROPN
ejpam-5892	146	13	)	)	PUNCT
ejpam-5892	146	14	=	=	SYM
ejpam-5892	146	15	0	0	NUM
ejpam-5892	146	16	,	,	PUNCT
ejpam-5892	146	17	(	(	PUNCT
ejpam-5892	146	18	29	29	NUM
ejpam-5892	146	19	)	)	PUNCT
ejpam-5892	146	20	on	on	ADP
ejpam-5892	146	21	the	the	DET
ejpam-5892	146	22	domain	domain	NOUN
ejpam-5892	146	23	[	[	X
ejpam-5892	146	24	0	0	NUM
ejpam-5892	146	25	,	,	PUNCT
ejpam-5892	146	26	2]2	2]2	NUM
ejpam-5892	146	27	.	.	PUNCT
ejpam-5892	147	1	when	when	SCONJ
ejpam-5892	147	2	a	a	DET
ejpam-5892	147	3	=	=	SYM
ejpam-5892	147	4	1	1	NUM
ejpam-5892	147	5	,	,	PUNCT
ejpam-5892	147	6	the	the	DET
ejpam-5892	147	7	exact	exact	ADJ
ejpam-5892	147	8	solution	solution	NOUN
ejpam-5892	147	9	is	be	AUX
ejpam-5892	147	10	provided	provide	VERB
ejpam-5892	147	11	in	in	ADP
ejpam-5892	147	12	equation	equation	NOUN
ejpam-5892	147	13	(	(	PUNCT
ejpam-5892	147	14	30	30	NUM
ejpam-5892	147	15	)	)	PUNCT
ejpam-5892	147	16	,	,	PUNCT
ejpam-5892	147	17	and	and	CCONJ
ejpam-5892	147	18	figure	figure	VERB
ejpam-5892	147	19	5	5	NUM
ejpam-5892	147	20	represents	represent	VERB
ejpam-5892	147	21	this	this	DET
ejpam-5892	147	22	solution	solution	NOUN
ejpam-5892	147	23	at	at	ADP
ejpam-5892	147	24	cfl	cfl	NOUN
ejpam-5892	147	25	=	=	SYM
ejpam-5892	147	26	0.5	0.5	NUM
ejpam-5892	147	27	and	and	CCONJ
ejpam-5892	147	28	the	the	DET
ejpam-5892	147	29	final	final	ADJ
ejpam-5892	147	30	time	time	NOUN
ejpam-5892	147	31	t	t	NOUN
ejpam-5892	147	32	=	=	SYM
ejpam-5892	147	33	0.5	0.5	NUM
ejpam-5892	147	34	.	.	PUNCT
ejpam-5892	148	1	u(x	u(x	PROPN
ejpam-5892	148	2	,	,	PUNCT
ejpam-5892	148	3	y	y	PROPN
ejpam-5892	148	4	,	,	PUNCT
ejpam-5892	148	5	t	t	PROPN
ejpam-5892	148	6	)	)	PUNCT
ejpam-5892	148	7	=	=	PUNCT
ejpam-5892	149	1	−2dπ	−2dπ	PROPN
ejpam-5892	149	2	cos(π(x+	cos(π(x+	CCONJ
ejpam-5892	149	3	y	y	PROPN
ejpam-5892	149	4	)	)	PUNCT
ejpam-5892	149	5	)	)	PUNCT
ejpam-5892	149	6	exp	exp	NOUN
ejpam-5892	149	7	(	(	PUNCT
ejpam-5892	149	8	−2dπ2	−2dπ2	PROPN
ejpam-5892	149	9	t	t	PROPN
ejpam-5892	149	10	)	)	PUNCT
ejpam-5892	149	11	2	2	NUM
ejpam-5892	149	12	+	+	CCONJ
ejpam-5892	149	13	sin(π(x+	sin(π(x+	PROPN
ejpam-5892	149	14	y	y	NUM
ejpam-5892	149	15	)	)	PUNCT
ejpam-5892	149	16	)	)	PUNCT
ejpam-5892	149	17	exp	exp	NOUN
ejpam-5892	149	18	(	(	PUNCT
ejpam-5892	149	19	−2dπ2	−2dπ2	PROPN
ejpam-5892	149	20	t	t	PROPN
ejpam-5892	149	21	)	)	PUNCT
ejpam-5892	149	22	.	.	PUNCT
ejpam-5892	150	1	(	(	PUNCT
ejpam-5892	150	2	30	30	X
ejpam-5892	150	3	)	)	PUNCT
ejpam-5892	150	4	figure	figure	NOUN
ejpam-5892	150	5	5	5	NUM
ejpam-5892	150	6	:	:	PUNCT
ejpam-5892	150	7	exact	exact	ADJ
ejpam-5892	150	8	solution	solution	NOUN
ejpam-5892	150	9	of	of	ADP
ejpam-5892	150	10	the	the	DET
ejpam-5892	150	11	two	two	NUM
ejpam-5892	150	12	-	-	PUNCT
ejpam-5892	150	13	dimensional	dimensional	ADJ
ejpam-5892	150	14	burgers	burger	NOUN
ejpam-5892	150	15	’	'	PUNCT
ejpam-5892	150	16	equation	equation	NOUN
ejpam-5892	150	17	.	.	PUNCT
ejpam-5892	151	1	t.	t.	PROPN
ejpam-5892	151	2	alfawaz	alfawaz	PROPN
ejpam-5892	151	3	,	,	PUNCT
ejpam-5892	151	4	a.m.	a.m.	PROPN
ejpam-5892	151	5	saeed	saeed	PROPN
ejpam-5892	151	6	/	/	SYM
ejpam-5892	151	7	eur	eur	PROPN
ejpam-5892	151	8	.	.	PUNCT
ejpam-5892	152	1	j.	j.	PROPN
ejpam-5892	152	2	pure	pure	PROPN
ejpam-5892	152	3	appl	appl	PROPN
ejpam-5892	152	4	.	.	PROPN
ejpam-5892	152	5	math	math	PROPN
ejpam-5892	152	6	,	,	PUNCT
ejpam-5892	152	7	18	18	NUM
ejpam-5892	152	8	(	(	PUNCT
ejpam-5892	152	9	2	2	NUM
ejpam-5892	152	10	)	)	PUNCT
ejpam-5892	152	11	(	(	PUNCT
ejpam-5892	152	12	2025	2025	NUM
ejpam-5892	152	13	)	)	PUNCT
ejpam-5892	152	14	,	,	PUNCT
ejpam-5892	152	15	5892	5892	NUM
ejpam-5892	152	16	12	12	NUM
ejpam-5892	152	17	of	of	ADP
ejpam-5892	152	18	17	17	NUM
ejpam-5892	152	19	figure	figure	NOUN
ejpam-5892	152	20	6	6	NUM
ejpam-5892	152	21	:	:	SYM
ejpam-5892	152	22	two	two	NUM
ejpam-5892	152	23	-	-	PUNCT
ejpam-5892	152	24	dimensional	dimensional	ADJ
ejpam-5892	152	25	burgers	burger	NOUN
ejpam-5892	152	26	’	'	PUNCT
ejpam-5892	152	27	equation	equation	NOUN
ejpam-5892	152	28	with	with	ADP
ejpam-5892	152	29	diffusion	diffusion	NOUN
ejpam-5892	152	30	,	,	PUNCT
ejpam-5892	152	31	displaying	display	VERB
ejpam-5892	152	32	the	the	DET
ejpam-5892	152	33	numerical	numerical	ADJ
ejpam-5892	152	34	solutions	solution	NOUN
ejpam-5892	152	35	from	from	ADP
ejpam-5892	152	36	various	various	ADJ
ejpam-5892	152	37	schemes	scheme	NOUN
ejpam-5892	152	38	for	for	ADP
ejpam-5892	152	39	a	a	DET
ejpam-5892	152	40	diffusion	diffusion	NOUN
ejpam-5892	152	41	coefficient	coefficient	NOUN
ejpam-5892	152	42	d	d	NOUN
ejpam-5892	152	43	=	=	SYM
ejpam-5892	152	44	0.0002	0.0002	NUM
ejpam-5892	152	45	at	at	ADP
ejpam-5892	152	46	cfl	cfl	NOUN
ejpam-5892	152	47	=	=	SYM
ejpam-5892	152	48	0.5	0.5	NUM
ejpam-5892	152	49	.	.	PUNCT
ejpam-5892	153	1	the	the	DET
ejpam-5892	153	2	spatial	spatial	ADJ
ejpam-5892	153	3	discretization	discretization	NOUN
ejpam-5892	153	4	of	of	ADP
ejpam-5892	153	5	the	the	DET
ejpam-5892	153	6	estimated	estimate	VERB
ejpam-5892	153	7	solution	solution	NOUN
ejpam-5892	153	8	uest(x	uest(x	PROPN
ejpam-5892	153	9	,	,	PUNCT
ejpam-5892	153	10	y	y	PROPN
ejpam-5892	153	11	,	,	PUNCT
ejpam-5892	153	12	t	t	PROPN
ejpam-5892	153	13	)	)	PUNCT
ejpam-5892	153	14	is	be	AUX
ejpam-5892	153	15	performed	perform	VERB
ejpam-5892	153	16	on	on	ADP
ejpam-5892	153	17	a	a	DET
ejpam-5892	153	18	40×	40×	NUM
ejpam-5892	153	19	40	40	NUM
ejpam-5892	153	20	uniform	uniform	NOUN
ejpam-5892	153	21	grid	grid	NOUN
ejpam-5892	153	22	.	.	PUNCT
ejpam-5892	154	1	the	the	DET
ejpam-5892	154	2	numerical	numerical	ADJ
ejpam-5892	154	3	solutions	solution	NOUN
ejpam-5892	154	4	are	be	AUX
ejpam-5892	154	5	shown	show	VERB
ejpam-5892	154	6	for	for	ADP
ejpam-5892	154	7	the	the	DET
ejpam-5892	154	8	central	central	ADJ
ejpam-5892	154	9	differencing	difference	VERB
ejpam-5892	154	10	scheme	scheme	NOUN
ejpam-5892	154	11	(	(	PUNCT
ejpam-5892	154	12	top	top	ADJ
ejpam-5892	154	13	left	left	ADJ
ejpam-5892	154	14	)	)	PUNCT
ejpam-5892	154	15	,	,	PUNCT
ejpam-5892	154	16	upwind	upwind	NOUN
ejpam-5892	154	17	differencing	difference	VERB
ejpam-5892	154	18	scheme	scheme	NOUN
ejpam-5892	154	19	(	(	PUNCT
ejpam-5892	154	20	top	top	ADJ
ejpam-5892	154	21	right	right	NOUN
ejpam-5892	154	22	)	)	PUNCT
ejpam-5892	154	23	,	,	PUNCT
ejpam-5892	154	24	weno3	weno3	NOUN
ejpam-5892	154	25	(	(	PUNCT
ejpam-5892	154	26	bottom	bottom	NOUN
ejpam-5892	154	27	left	left	ADJ
ejpam-5892	154	28	)	)	PUNCT
ejpam-5892	154	29	,	,	PUNCT
ejpam-5892	154	30	and	and	CCONJ
ejpam-5892	154	31	weno5	weno5	PROPN
ejpam-5892	154	32	(	(	PUNCT
ejpam-5892	154	33	bottom	bottom	ADJ
ejpam-5892	154	34	right	right	NOUN
ejpam-5892	154	35	)	)	PUNCT
ejpam-5892	154	36	.	.	PUNCT
ejpam-5892	155	1	t.	t.	PROPN
ejpam-5892	155	2	alfawaz	alfawaz	PROPN
ejpam-5892	155	3	,	,	PUNCT
ejpam-5892	155	4	a.m.	a.m.	PROPN
ejpam-5892	155	5	saeed	saeed	PROPN
ejpam-5892	155	6	/	/	SYM
ejpam-5892	155	7	eur	eur	PROPN
ejpam-5892	155	8	.	.	PUNCT
ejpam-5892	156	1	j.	j.	PROPN
ejpam-5892	156	2	pure	pure	PROPN
ejpam-5892	156	3	appl	appl	PROPN
ejpam-5892	156	4	.	.	PROPN
ejpam-5892	156	5	math	math	PROPN
ejpam-5892	156	6	,	,	PUNCT
ejpam-5892	156	7	18	18	NUM
ejpam-5892	156	8	(	(	PUNCT
ejpam-5892	156	9	2	2	NUM
ejpam-5892	156	10	)	)	PUNCT
ejpam-5892	156	11	(	(	PUNCT
ejpam-5892	156	12	2025	2025	NUM
ejpam-5892	156	13	)	)	PUNCT
ejpam-5892	156	14	,	,	PUNCT
ejpam-5892	156	15	5892	5892	NUM
ejpam-5892	156	16	13	13	NUM
ejpam-5892	156	17	of	of	ADP
ejpam-5892	156	18	17	17	NUM
ejpam-5892	156	19	table	table	NOUN
ejpam-5892	156	20	4	4	NUM
ejpam-5892	156	21	:	:	PUNCT
ejpam-5892	156	22	error	error	NOUN
ejpam-5892	156	23	analysis	analysis	NOUN
ejpam-5892	156	24	for	for	ADP
ejpam-5892	156	25	central	central	ADJ
ejpam-5892	156	26	differencing	difference	VERB
ejpam-5892	156	27	scheme	scheme	NOUN
ejpam-5892	156	28	in	in	ADP
ejpam-5892	156	29	fvm	fvm	ADJ
ejpam-5892	156	30	framework	framework	NOUN
ejpam-5892	156	31	for	for	ADP
ejpam-5892	156	32	a	a	DET
ejpam-5892	156	33	diffusion	diffusion	NOUN
ejpam-5892	156	34	coefficient	coefficient	NOUN
ejpam-5892	156	35	d	d	NOUN
ejpam-5892	156	36	=	=	SYM
ejpam-5892	156	37	0.0002	0.0002	NUM
ejpam-5892	156	38	at	at	ADP
ejpam-5892	156	39	cfl	cfl	NOUN
ejpam-5892	156	40	=	=	SYM
ejpam-5892	156	41	0.5	0.5	NUM
ejpam-5892	156	42	.	.	PUNCT
ejpam-5892	157	1	nx	nx	PROPN
ejpam-5892	157	2	×ny	×ny	PROPN
ejpam-5892	157	3	scheme	scheme	NOUN
ejpam-5892	157	4	central	central	ADJ
ejpam-5892	157	5	differencing	difference	VERB
ejpam-5892	157	6	scheme	scheme	NOUN
ejpam-5892	157	7	l1	l1	PROPN
ejpam-5892	157	8	error	error	NOUN
ejpam-5892	157	9	8.2763e-07	8.2763e-07	ADJ
ejpam-5892	157	10	l2	l2	NOUN
ejpam-5892	157	11	error	error	NOUN
ejpam-5892	157	12	1.093e-0620×	1.093e-0620×	NUM
ejpam-5892	157	13	20	20	NUM
ejpam-5892	157	14	l∞	l∞	NOUN
ejpam-5892	157	15	error	error	NOUN
ejpam-5892	157	16	2.051e-06	2.051e-06	NUM
ejpam-5892	157	17	l1	l1	PROPN
ejpam-5892	157	18	error	error	NOUN
ejpam-5892	157	19	4.2254e-07	4.2254e-07	NUM
ejpam-5892	157	20	l2	l2	NOUN
ejpam-5892	157	21	error	error	NOUN
ejpam-5892	157	22	7.8345e-0740×	7.8345e-0740×	NUM
ejpam-5892	157	23	40	40	NUM
ejpam-5892	157	24	l∞	l∞	NOUN
ejpam-5892	157	25	error	error	NOUN
ejpam-5892	157	26	2.0943e-06	2.0943e-06	NUM
ejpam-5892	157	27	l1	l1	PROPN
ejpam-5892	157	28	error	error	NOUN
ejpam-5892	157	29	2.1277e-07	2.1277e-07	NUM
ejpam-5892	157	30	l2	l2	NOUN
ejpam-5892	157	31	error	error	NOUN
ejpam-5892	157	32	5.575e-0780×	5.575e-0780×	NUM
ejpam-5892	157	33	80	80	NUM
ejpam-5892	157	34	l∞	l∞	NOUN
ejpam-5892	157	35	error	error	NOUN
ejpam-5892	157	36	2.0943e-06	2.0943e-06	NUM
ejpam-5892	157	37	l1	l1	PROPN
ejpam-5892	157	38	error	error	NOUN
ejpam-5892	157	39	1.1087e-07	1.1087e-07	NUM
ejpam-5892	157	40	l2	l2	NOUN
ejpam-5892	157	41	error	error	NOUN
ejpam-5892	157	42	3.9544e-07160×	3.9544e-07160×	NUM
ejpam-5892	157	43	160	160	NUM
ejpam-5892	157	44	l∞	l∞	NOUN
ejpam-5892	157	45	error	error	NOUN
ejpam-5892	157	46	2.0977e-06	2.0977e-06	NUM
ejpam-5892	157	47	table	table	NOUN
ejpam-5892	157	48	5	5	NUM
ejpam-5892	157	49	:	:	PUNCT
ejpam-5892	157	50	error	error	NOUN
ejpam-5892	157	51	analysis	analysis	NOUN
ejpam-5892	157	52	for	for	ADP
ejpam-5892	157	53	the	the	DET
ejpam-5892	157	54	upwind	upwind	NOUN
ejpam-5892	157	55	differencing	difference	VERB
ejpam-5892	157	56	scheme	scheme	NOUN
ejpam-5892	157	57	in	in	ADP
ejpam-5892	157	58	fvm	fvm	ADJ
ejpam-5892	157	59	framework	framework	NOUN
ejpam-5892	157	60	for	for	ADP
ejpam-5892	157	61	a	a	DET
ejpam-5892	157	62	diffusion	diffusion	NOUN
ejpam-5892	157	63	coefficient	coefficient	NOUN
ejpam-5892	157	64	d	d	NOUN
ejpam-5892	157	65	=	=	SYM
ejpam-5892	157	66	0.0002	0.0002	NUM
ejpam-5892	157	67	at	at	ADP
ejpam-5892	157	68	cfl	cfl	NOUN
ejpam-5892	157	69	=	=	SYM
ejpam-5892	157	70	0.5	0.5	NUM
ejpam-5892	157	71	.	.	PUNCT
ejpam-5892	157	72	nx	nx	PROPN
ejpam-5892	157	73	×ny	×ny	PROPN
ejpam-5892	157	74	scheme	scheme	NOUN
ejpam-5892	157	75	upwind	upwind	NOUN
ejpam-5892	157	76	differencing	difference	VERB
ejpam-5892	157	77	scheme	scheme	NOUN
ejpam-5892	157	78	l1	l1	PROPN
ejpam-5892	157	79	error	error	NOUN
ejpam-5892	157	80	1.3824e-06	1.3824e-06	NUM
ejpam-5892	157	81	l2	l2	NOUN
ejpam-5892	157	82	error	error	NOUN
ejpam-5892	157	83	1.1794e-0620×	1.1794e-0620×	NUM
ejpam-5892	157	84	20	20	NUM
ejpam-5892	157	85	l∞	l∞	NOUN
ejpam-5892	157	86	error	error	NOUN
ejpam-5892	157	87	2.051e-06	2.051e-06	NUM
ejpam-5892	157	88	l1	l1	PROPN
ejpam-5892	157	89	error	error	NOUN
ejpam-5892	157	90	7.5091e-07	7.5091e-07	NUM
ejpam-5892	157	91	l2	l2	NOUN
ejpam-5892	157	92	error	error	NOUN
ejpam-5892	157	93	8.2257e-0740×	8.2257e-0740×	NUM
ejpam-5892	157	94	40	40	NUM
ejpam-5892	157	95	l∞	l∞	NOUN
ejpam-5892	157	96	error	error	NOUN
ejpam-5892	157	97	2.0943e-06	2.0943e-06	NUM
ejpam-5892	157	98	l1	l1	PROPN
ejpam-5892	157	99	error	error	NOUN
ejpam-5892	157	100	3.9118e-07	3.9118e-07	NUM
ejpam-5892	157	101	l2	l2	NOUN
ejpam-5892	157	102	error	error	NOUN
ejpam-5892	157	103	5.7267e-0780×	5.7267e-0780×	NUM
ejpam-5892	157	104	80	80	NUM
ejpam-5892	157	105	l∞	l∞	NOUN
ejpam-5892	157	106	error	error	NOUN
ejpam-5892	157	107	2.0943e-06	2.0943e-06	NUM
ejpam-5892	157	108	l1	l1	PROPN
ejpam-5892	157	109	error	error	NOUN
ejpam-5892	157	110	1.9917e-07	1.9917e-07	NUM
ejpam-5892	157	111	l2	l2	NOUN
ejpam-5892	157	112	error	error	NOUN
ejpam-5892	157	113	4.0102e-07160×	4.0102e-07160×	NUM
ejpam-5892	157	114	160	160	NUM
ejpam-5892	157	115	l∞	l∞	NOUN
ejpam-5892	157	116	error	error	NOUN
ejpam-5892	157	117	2.0977e-06	2.0977e-06	NUM
ejpam-5892	157	118	t.	t.	NOUN
ejpam-5892	157	119	alfawaz	alfawaz	NOUN
ejpam-5892	157	120	,	,	PUNCT
ejpam-5892	157	121	a.m.	a.m.	PROPN
ejpam-5892	157	122	saeed	saeed	PROPN
ejpam-5892	157	123	/	/	SYM
ejpam-5892	157	124	eur	eur	PROPN
ejpam-5892	157	125	.	.	PUNCT
ejpam-5892	158	1	j.	j.	PROPN
ejpam-5892	158	2	pure	pure	PROPN
ejpam-5892	158	3	appl	appl	PROPN
ejpam-5892	158	4	.	.	PROPN
ejpam-5892	158	5	math	math	PROPN
ejpam-5892	158	6	,	,	PUNCT
ejpam-5892	158	7	18	18	NUM
ejpam-5892	158	8	(	(	PUNCT
ejpam-5892	158	9	2	2	NUM
ejpam-5892	158	10	)	)	PUNCT
ejpam-5892	158	11	(	(	PUNCT
ejpam-5892	158	12	2025	2025	NUM
ejpam-5892	158	13	)	)	PUNCT
ejpam-5892	158	14	,	,	PUNCT
ejpam-5892	158	15	5892	5892	NUM
ejpam-5892	158	16	14	14	NUM
ejpam-5892	158	17	of	of	ADP
ejpam-5892	158	18	17	17	NUM
ejpam-5892	158	19	table	table	NOUN
ejpam-5892	158	20	6	6	NUM
ejpam-5892	158	21	:	:	PUNCT
ejpam-5892	158	22	error	error	NOUN
ejpam-5892	158	23	analysis	analysis	NOUN
ejpam-5892	158	24	for	for	ADP
ejpam-5892	158	25	weno3	weno3	NOUN
ejpam-5892	158	26	and	and	CCONJ
ejpam-5892	158	27	weno5	weno5	VERB
ejpam-5892	158	28	in	in	ADP
ejpam-5892	158	29	fvm	fvm	ADJ
ejpam-5892	158	30	framework	framework	NOUN
ejpam-5892	158	31	for	for	ADP
ejpam-5892	158	32	a	a	DET
ejpam-5892	158	33	diffusion	diffusion	NOUN
ejpam-5892	158	34	coefficient	coefficient	NOUN
ejpam-5892	158	35	d	d	NOUN
ejpam-5892	158	36	=	=	SYM
ejpam-5892	158	37	0.0002	0.0002	NUM
ejpam-5892	158	38	at	at	ADP
ejpam-5892	158	39	cfl	cfl	NOUN
ejpam-5892	158	40	=	=	SYM
ejpam-5892	158	41	0.5	0.5	NUM
ejpam-5892	158	42	.	.	PUNCT
ejpam-5892	158	43	nx	nx	PROPN
ejpam-5892	158	44	×ny	×ny	PROPN
ejpam-5892	158	45	scheme	scheme	NOUN
ejpam-5892	158	46	weno3	weno3	NOUN
ejpam-5892	158	47	weno5	weno5	PROPN
ejpam-5892	158	48	l1	l1	PROPN
ejpam-5892	158	49	error	error	NOUN
ejpam-5892	158	50	1.6834e-07	1.6834e-07	NUM
ejpam-5892	158	51	5.126e-08	5.126e-08	NUM
ejpam-5892	158	52	l2	l2	NOUN
ejpam-5892	158	53	error	error	NOUN
ejpam-5892	158	54	2.0541	2.0541	NUM
ejpam-5892	158	55	e-07	e-07	NOUN
ejpam-5892	158	56	6.5106e-0820×	6.5106e-0820×	NUM
ejpam-5892	158	57	20	20	NUM
ejpam-5892	158	58	l∞	l∞	NOUN
ejpam-5892	158	59	error	error	NOUN
ejpam-5892	158	60	3.3108e−	3.3108e−	NOUN
ejpam-5892	158	61	07	07	NUM
ejpam-5892	158	62	1.3088	1.3088	NUM
ejpam-5892	158	63	-07	-07	NOUN
ejpam-5892	158	64	l1	l1	PROPN
ejpam-5892	158	65	error	error	NOUN
ejpam-5892	158	66	2.2e−	2.2e−	NUM
ejpam-5892	158	67	07	07	NUM
ejpam-5892	158	68	5.3135e-08	5.3135e-08	NUM
ejpam-5892	158	69	l2	l2	NOUN
ejpam-5892	158	70	error	error	NOUN
ejpam-5892	158	71	2.5939e-07	2.5939e-07	NUM
ejpam-5892	158	72	6.1183e-0840×	6.1183e-0840×	NUM
ejpam-5892	158	73	40	40	NUM
ejpam-5892	158	74	l∞	l∞	NOUN
ejpam-5892	158	75	error	error	NOUN
ejpam-5892	158	76	4.7755e−	4.7755e−	NOUN
ejpam-5892	158	77	07	07	NUM
ejpam-5892	158	78	9.6984e−	9.6984e−	NUM
ejpam-5892	158	79	08	08	NUM
ejpam-5892	158	80	l1	l1	PROPN
ejpam-5892	158	81	error	error	NOUN
ejpam-5892	158	82	2.3917	2.3917	NUM
ejpam-5892	158	83	07	07	NUM
ejpam-5892	158	84	7.1989e-08	7.1989e-08	NUM
ejpam-5892	158	85	l2	l2	NOUN
ejpam-5892	158	86	error	error	NOUN
ejpam-5892	158	87	2.8305e-07	2.8305e-07	NUM
ejpam-5892	158	88	8.4092e-0880×	8.4092e-0880×	NUM
ejpam-5892	158	89	80	80	NUM
ejpam-5892	158	90	l∞	l∞	NOUN
ejpam-5892	158	91	error	error	NOUN
ejpam-5892	158	92	5.6877e-07	5.6877e-07	NUM
ejpam-5892	158	93	1.6397e-07	1.6397e-07	NUM
ejpam-5892	158	94	l1	l1	PROPN
ejpam-5892	158	95	error	error	NOUN
ejpam-5892	158	96	2.4296	2.4296	NUM
ejpam-5892	158	97	e-07	e-07	NOUN
ejpam-5892	158	98	7.4868e-08	7.4868e-08	NUM
ejpam-5892	158	99	l2	l2	NOUN
ejpam-5892	158	100	error	error	NOUN
ejpam-5892	158	101	2.8789e-07	2.8789e-07	NUM
ejpam-5892	158	102	8.8955e-08160×	8.8955e-08160×	NUM
ejpam-5892	158	103	160	160	NUM
ejpam-5892	158	104	l∞	l∞	NOUN
ejpam-5892	158	105	error	error	NOUN
ejpam-5892	158	106	5.9143e−	5.9143e−	NOUN
ejpam-5892	158	107	07	07	NUM
ejpam-5892	158	108	1.884e−	1.884e−	NUM
ejpam-5892	158	109	07	07	NUM
ejpam-5892	158	110	7	7	NUM
ejpam-5892	158	111	.	.	PUNCT
ejpam-5892	159	1	discussion	discussion	NOUN
ejpam-5892	159	2	the	the	DET
ejpam-5892	159	3	linear	linear	ADJ
ejpam-5892	159	4	advection	advection	NOUN
ejpam-5892	159	5	of	of	ADP
ejpam-5892	159	6	multiple	multiple	ADJ
ejpam-5892	159	7	waves	wave	NOUN
ejpam-5892	159	8	equation	equation	NOUN
ejpam-5892	159	9	displays	display	VERB
ejpam-5892	159	10	the	the	DET
ejpam-5892	159	11	effectiveness	effectiveness	NOUN
ejpam-5892	159	12	of	of	ADP
ejpam-5892	159	13	different	different	ADJ
ejpam-5892	159	14	numerical	numerical	ADJ
ejpam-5892	159	15	schemes	scheme	NOUN
ejpam-5892	159	16	in	in	ADP
ejpam-5892	159	17	capturing	capture	VERB
ejpam-5892	159	18	the	the	DET
ejpam-5892	159	19	dynamics	dynamic	NOUN
ejpam-5892	159	20	of	of	ADP
ejpam-5892	159	21	multiple	multiple	ADJ
ejpam-5892	159	22	waveforms	waveform	NOUN
ejpam-5892	159	23	.	.	PUNCT
ejpam-5892	160	1	in	in	ADP
ejpam-5892	160	2	the	the	DET
ejpam-5892	160	3	first	first	ADJ
ejpam-5892	160	4	case	case	NOUN
ejpam-5892	160	5	,	,	PUNCT
ejpam-5892	160	6	the	the	DET
ejpam-5892	160	7	initial	initial	ADJ
ejpam-5892	160	8	condition	condition	NOUN
ejpam-5892	160	9	provides	provide	VERB
ejpam-5892	160	10	a	a	DET
ejpam-5892	160	11	comprehensive	comprehensive	ADJ
ejpam-5892	160	12	test	test	NOUN
ejpam-5892	160	13	to	to	PART
ejpam-5892	160	14	assess	assess	VERB
ejpam-5892	160	15	the	the	DET
ejpam-5892	160	16	accuracy	accuracy	NOUN
ejpam-5892	160	17	of	of	ADP
ejpam-5892	160	18	the	the	DET
ejpam-5892	160	19	numerical	numerical	ADJ
ejpam-5892	160	20	methods	method	NOUN
ejpam-5892	160	21	employed	employ	VERB
ejpam-5892	160	22	.	.	PUNCT
ejpam-5892	161	1	simulations	simulation	NOUN
ejpam-5892	161	2	confirm	confirm	VERB
ejpam-5892	161	3	that	that	SCONJ
ejpam-5892	161	4	the	the	DET
ejpam-5892	161	5	central	central	ADJ
ejpam-5892	161	6	differential	differential	NOUN
ejpam-5892	161	7	scheme	scheme	NOUN
ejpam-5892	161	8	despite	despite	SCONJ
ejpam-5892	161	9	its	its	PRON
ejpam-5892	161	10	simplicity	simplicity	NOUN
ejpam-5892	161	11	and	and	CCONJ
ejpam-5892	161	12	computational	computational	ADJ
ejpam-5892	161	13	ease	ease	NOUN
ejpam-5892	161	14	results	result	NOUN
ejpam-5892	161	15	in	in	ADP
ejpam-5892	161	16	relatively	relatively	ADV
ejpam-5892	161	17	high	high	ADJ
ejpam-5892	161	18	error	error	NOUN
ejpam-5892	161	19	levels	level	NOUN
ejpam-5892	161	20	particularly	particularly	ADV
ejpam-5892	161	21	for	for	ADP
ejpam-5892	161	22	the	the	DET
ejpam-5892	161	23	l2	l2	NOUN
ejpam-5892	161	24	and	and	CCONJ
ejpam-5892	161	25	l∞	l∞	NOUN
ejpam-5892	161	26	norms	norm	NOUN
ejpam-5892	161	27	as	as	SCONJ
ejpam-5892	161	28	presented	present	VERB
ejpam-5892	161	29	in	in	ADP
ejpam-5892	161	30	table	table	NOUN
ejpam-5892	161	31	1	1	NUM
ejpam-5892	161	32	.	.	PUNCT
ejpam-5892	162	1	it	it	PRON
ejpam-5892	162	2	is	be	AUX
ejpam-5892	162	3	essential	essential	ADJ
ejpam-5892	162	4	to	to	PART
ejpam-5892	162	5	highlight	highlight	VERB
ejpam-5892	162	6	that	that	SCONJ
ejpam-5892	162	7	errors	error	NOUN
ejpam-5892	162	8	are	be	AUX
ejpam-5892	162	9	significantly	significantly	ADV
ejpam-5892	162	10	reduced	reduce	VERB
ejpam-5892	162	11	when	when	SCONJ
ejpam-5892	162	12	employing	employ	VERB
ejpam-5892	162	13	the	the	DET
ejpam-5892	162	14	upwind	upwind	NOUN
ejpam-5892	162	15	differencing	difference	VERB
ejpam-5892	162	16	scheme	scheme	NOUN
ejpam-5892	162	17	which	which	PRON
ejpam-5892	162	18	demonstrates	demonstrate	VERB
ejpam-5892	162	19	greater	great	ADJ
ejpam-5892	162	20	stability	stability	NOUN
ejpam-5892	162	21	for	for	ADP
ejpam-5892	162	22	advection	advection	NOUN
ejpam-5892	162	23	-	-	PUNCT
ejpam-5892	162	24	dominated	dominate	VERB
ejpam-5892	162	25	problems	problem	NOUN
ejpam-5892	162	26	as	as	SCONJ
ejpam-5892	162	27	shown	show	VERB
ejpam-5892	162	28	in	in	ADP
ejpam-5892	162	29	table	table	NOUN
ejpam-5892	162	30	2	2	NUM
ejpam-5892	162	31	.	.	PUNCT
ejpam-5892	163	1	this	this	DET
ejpam-5892	163	2	strategy	strategy	NOUN
ejpam-5892	163	3	,	,	PUNCT
ejpam-5892	163	4	even	even	ADV
ejpam-5892	163	5	so	so	ADV
ejpam-5892	163	6	,	,	PUNCT
ejpam-5892	163	7	is	be	AUX
ejpam-5892	163	8	still	still	ADV
ejpam-5892	163	9	less	less	ADV
ejpam-5892	163	10	accurate	accurate	ADJ
ejpam-5892	163	11	compared	compare	VERB
ejpam-5892	163	12	to	to	ADP
ejpam-5892	163	13	the	the	DET
ejpam-5892	163	14	weighted	weight	VERB
ejpam-5892	163	15	essentially	essentially	ADV
ejpam-5892	163	16	non	non	ADJ
ejpam-5892	163	17	-	-	ADJ
ejpam-5892	163	18	oscillatory	oscillatory	ADJ
ejpam-5892	163	19	(	(	PUNCT
ejpam-5892	163	20	weno	weno	ADJ
ejpam-5892	163	21	)	)	PUNCT
ejpam-5892	163	22	scheme	scheme	NOUN
ejpam-5892	163	23	.	.	PUNCT
ejpam-5892	164	1	the	the	DET
ejpam-5892	164	2	weno3	weno3	NOUN
ejpam-5892	164	3	and	and	CCONJ
ejpam-5892	164	4	weno5	weno5	ADJ
ejpam-5892	164	5	schemes	scheme	NOUN
ejpam-5892	164	6	as	as	SCONJ
ejpam-5892	164	7	presented	present	VERB
ejpam-5892	164	8	in	in	ADP
ejpam-5892	164	9	table	table	NOUN
ejpam-5892	164	10	3	3	NUM
ejpam-5892	164	11	show	show	VERB
ejpam-5892	164	12	considerably	considerably	ADV
ejpam-5892	164	13	lower	low	ADJ
ejpam-5892	164	14	errors	error	NOUN
ejpam-5892	164	15	across	across	ADP
ejpam-5892	164	16	all	all	DET
ejpam-5892	164	17	norms	norm	NOUN
ejpam-5892	164	18	with	with	ADP
ejpam-5892	164	19	weno5	weno5	NOUN
ejpam-5892	164	20	particularly	particularly	ADV
ejpam-5892	164	21	excelling	excel	VERB
ejpam-5892	164	22	in	in	ADP
ejpam-5892	164	23	its	its	PRON
ejpam-5892	164	24	ability	ability	NOUN
ejpam-5892	164	25	to	to	PART
ejpam-5892	164	26	resolve	resolve	VERB
ejpam-5892	164	27	steep	steep	ADJ
ejpam-5892	164	28	gradients	gradient	NOUN
ejpam-5892	164	29	and	and	CCONJ
ejpam-5892	164	30	discontinuities	discontinuity	NOUN
ejpam-5892	164	31	more	more	ADV
ejpam-5892	164	32	effectively	effectively	ADV
ejpam-5892	164	33	than	than	ADP
ejpam-5892	164	34	lower	low	ADJ
ejpam-5892	164	35	-	-	PUNCT
ejpam-5892	164	36	order	order	NOUN
ejpam-5892	164	37	methods	method	NOUN
ejpam-5892	164	38	.	.	PUNCT
ejpam-5892	165	1	visual	visual	ADJ
ejpam-5892	165	2	comparisons	comparison	NOUN
ejpam-5892	165	3	in	in	ADP
ejpam-5892	165	4	figure	figure	NOUN
ejpam-5892	165	5	1	1	NUM
ejpam-5892	165	6	,	,	PUNCT
ejpam-5892	165	7	2	2	NUM
ejpam-5892	165	8	,	,	PUNCT
ejpam-5892	165	9	3	3	NUM
ejpam-5892	165	10	and	and	CCONJ
ejpam-5892	165	11	4	4	NUM
ejpam-5892	165	12	support	support	VERB
ejpam-5892	165	13	these	these	DET
ejpam-5892	165	14	findings	finding	NOUN
ejpam-5892	165	15	.	.	PUNCT
ejpam-5892	166	1	figure	figure	VERB
ejpam-5892	166	2	7	7	NUM
ejpam-5892	166	3	presents	present	NOUN
ejpam-5892	166	4	a	a	DET
ejpam-5892	166	5	combined	combined	ADJ
ejpam-5892	166	6	plot	plot	NOUN
ejpam-5892	166	7	that	that	PRON
ejpam-5892	166	8	compares	compare	VERB
ejpam-5892	166	9	the	the	DET
ejpam-5892	166	10	performance	performance	NOUN
ejpam-5892	166	11	of	of	ADP
ejpam-5892	166	12	all	all	DET
ejpam-5892	166	13	the	the	DET
ejpam-5892	166	14	schemes	scheme	NOUN
ejpam-5892	166	15	,	,	PUNCT
ejpam-5892	166	16	highlighting	highlight	VERB
ejpam-5892	166	17	the	the	DET
ejpam-5892	166	18	strengths	strength	NOUN
ejpam-5892	166	19	and	and	CCONJ
ejpam-5892	166	20	weaknesses	weakness	NOUN
ejpam-5892	166	21	of	of	ADP
ejpam-5892	166	22	each	each	DET
ejpam-5892	166	23	scheme	scheme	NOUN
ejpam-5892	166	24	.	.	PUNCT
ejpam-5892	167	1	they	they	PRON
ejpam-5892	167	2	confirm	confirm	VERB
ejpam-5892	167	3	that	that	SCONJ
ejpam-5892	167	4	weno	weno	PROPN
ejpam-5892	167	5	methods	method	NOUN
ejpam-5892	167	6	maintain	maintain	VERB
ejpam-5892	167	7	the	the	DET
ejpam-5892	167	8	integrity	integrity	NOUN
ejpam-5892	167	9	of	of	ADP
ejpam-5892	167	10	the	the	DET
ejpam-5892	167	11	wave	wave	NOUN
ejpam-5892	167	12	shapes	shape	NOUN
ejpam-5892	167	13	over	over	ADP
ejpam-5892	167	14	time	time	NOUN
ejpam-5892	167	15	while	while	SCONJ
ejpam-5892	167	16	the	the	DET
ejpam-5892	167	17	central	central	ADJ
ejpam-5892	167	18	differencing	difference	VERB
ejpam-5892	167	19	scheme	scheme	NOUN
ejpam-5892	167	20	and	and	CCONJ
ejpam-5892	167	21	upwind	upwind	NOUN
ejpam-5892	167	22	differencing	difference	VERB
ejpam-5892	167	23	scheme	scheme	NOUN
ejpam-5892	167	24	patterns	pattern	NOUN
ejpam-5892	167	25	reveal	reveal	VERB
ejpam-5892	167	26	significant	significant	ADJ
ejpam-5892	167	27	diffusion	diffusion	NOUN
ejpam-5892	167	28	and	and	CCONJ
ejpam-5892	167	29	distortion	distortion	NOUN
ejpam-5892	167	30	of	of	ADP
ejpam-5892	167	31	the	the	DET
ejpam-5892	167	32	wave	wave	NOUN
ejpam-5892	167	33	profiles	profile	NOUN
ejpam-5892	167	34	.	.	PUNCT
ejpam-5892	168	1	t.	t.	PROPN
ejpam-5892	168	2	alfawaz	alfawaz	PROPN
ejpam-5892	168	3	,	,	PUNCT
ejpam-5892	168	4	a.m.	a.m.	PROPN
ejpam-5892	168	5	saeed	saeed	PROPN
ejpam-5892	168	6	/	/	SYM
ejpam-5892	168	7	eur	eur	PROPN
ejpam-5892	168	8	.	.	PUNCT
ejpam-5892	169	1	j.	j.	PROPN
ejpam-5892	169	2	pure	pure	PROPN
ejpam-5892	169	3	appl	appl	PROPN
ejpam-5892	169	4	.	.	PROPN
ejpam-5892	169	5	math	math	PROPN
ejpam-5892	169	6	,	,	PUNCT
ejpam-5892	169	7	18	18	NUM
ejpam-5892	169	8	(	(	PUNCT
ejpam-5892	169	9	2	2	NUM
ejpam-5892	169	10	)	)	PUNCT
ejpam-5892	169	11	(	(	PUNCT
ejpam-5892	169	12	2025	2025	NUM
ejpam-5892	169	13	)	)	PUNCT
ejpam-5892	169	14	,	,	PUNCT
ejpam-5892	169	15	5892	5892	NUM
ejpam-5892	169	16	15	15	NUM
ejpam-5892	169	17	of	of	ADP
ejpam-5892	169	18	17	17	NUM
ejpam-5892	169	19	figure	figure	NOUN
ejpam-5892	169	20	7	7	NUM
ejpam-5892	169	21	:	:	PUNCT
ejpam-5892	169	22	linear	linear	ADJ
ejpam-5892	169	23	advection	advection	NOUN
ejpam-5892	169	24	of	of	ADP
ejpam-5892	169	25	multiple	multiple	ADJ
ejpam-5892	169	26	waves	wave	NOUN
ejpam-5892	169	27	using	use	VERB
ejpam-5892	169	28	various	various	ADJ
ejpam-5892	169	29	schemes	scheme	NOUN
ejpam-5892	169	30	at	at	ADP
ejpam-5892	169	31	simulation	simulation	NOUN
ejpam-5892	169	32	time	time	PROPN
ejpam-5892	169	33	t	t	PROPN
ejpam-5892	169	34	=	=	NUM
ejpam-5892	169	35	0.5	0.5	NUM
ejpam-5892	169	36	.	.	PUNCT
ejpam-5892	170	1	the	the	DET
ejpam-5892	170	2	spatial	spatial	ADJ
ejpam-5892	170	3	discretization	discretization	NOUN
ejpam-5892	170	4	is	be	AUX
ejpam-5892	170	5	performed	perform	VERB
ejpam-5892	170	6	on	on	ADP
ejpam-5892	170	7	200	200	NUM
ejpam-5892	170	8	uniform	uniform	ADJ
ejpam-5892	170	9	grid	grid	NOUN
ejpam-5892	170	10	points	point	NOUN
ejpam-5892	170	11	with	with	ADP
ejpam-5892	170	12	a	a	DET
ejpam-5892	170	13	courant	courant	ADJ
ejpam-5892	170	14	number	number	NOUN
ejpam-5892	170	15	of	of	ADP
ejpam-5892	170	16	cfl	cfl	NOUN
ejpam-5892	170	17	=	=	NUM
ejpam-5892	170	18	0.5	0.5	NUM
ejpam-5892	170	19	.	.	PUNCT
ejpam-5892	171	1	the	the	DET
ejpam-5892	171	2	two	two	NUM
ejpam-5892	171	3	-	-	PUNCT
ejpam-5892	171	4	dimensional	dimensional	ADJ
ejpam-5892	171	5	burgers	burger	NOUN
ejpam-5892	171	6	’	'	PUNCT
ejpam-5892	171	7	equation	equation	NOUN
ejpam-5892	171	8	with	with	ADP
ejpam-5892	171	9	diffusion	diffusion	NOUN
ejpam-5892	171	10	and	and	CCONJ
ejpam-5892	171	11	the	the	DET
ejpam-5892	171	12	numerical	numerical	ADJ
ejpam-5892	171	13	solutions	solution	NOUN
ejpam-5892	171	14	received	receive	VERB
ejpam-5892	171	15	from	from	ADP
ejpam-5892	171	16	different	different	ADJ
ejpam-5892	171	17	schemes	scheme	NOUN
ejpam-5892	171	18	provide	provide	VERB
ejpam-5892	171	19	insights	insight	NOUN
ejpam-5892	171	20	into	into	ADP
ejpam-5892	171	21	the	the	DET
ejpam-5892	171	22	interplay	interplay	NOUN
ejpam-5892	171	23	between	between	ADP
ejpam-5892	171	24	advection	advection	NOUN
ejpam-5892	171	25	and	and	CCONJ
ejpam-5892	171	26	diffusion	diffusion	NOUN
ejpam-5892	171	27	.	.	PUNCT
ejpam-5892	172	1	the	the	DET
ejpam-5892	172	2	exact	exact	ADJ
ejpam-5892	172	3	solution	solution	NOUN
ejpam-5892	172	4	for	for	ADP
ejpam-5892	172	5	the	the	DET
ejpam-5892	172	6	diffusion	diffusion	NOUN
ejpam-5892	172	7	coefficientd	coefficientd	NOUN
ejpam-5892	172	8	=	=	NOUN
ejpam-5892	172	9	0.0002	0.0002	NUM
ejpam-5892	172	10	as	as	SCONJ
ejpam-5892	172	11	presented	present	VERB
ejpam-5892	172	12	in	in	ADP
ejpam-5892	172	13	figure	figure	NOUN
ejpam-5892	172	14	5	5	NUM
ejpam-5892	172	15	provides	provide	VERB
ejpam-5892	172	16	a	a	DET
ejpam-5892	172	17	benchmark	benchmark	NOUN
ejpam-5892	172	18	for	for	ADP
ejpam-5892	172	19	estimating	estimate	VERB
ejpam-5892	172	20	the	the	DET
ejpam-5892	172	21	performance	performance	NOUN
ejpam-5892	172	22	of	of	ADP
ejpam-5892	172	23	numerical	numerical	ADJ
ejpam-5892	172	24	methods	method	NOUN
ejpam-5892	172	25	.	.	PUNCT
ejpam-5892	173	1	the	the	DET
ejpam-5892	173	2	error	error	NOUN
ejpam-5892	173	3	analysis	analysis	NOUN
ejpam-5892	173	4	presented	present	VERB
ejpam-5892	173	5	in	in	ADP
ejpam-5892	173	6	tables	table	NOUN
ejpam-5892	173	7	4	4	NUM
ejpam-5892	173	8	and	and	CCONJ
ejpam-5892	173	9	5	5	NUM
ejpam-5892	173	10	implies	imply	VERB
ejpam-5892	173	11	that	that	SCONJ
ejpam-5892	173	12	the	the	DET
ejpam-5892	173	13	central	central	ADJ
ejpam-5892	173	14	differencing	difference	VERB
ejpam-5892	173	15	scheme	scheme	NOUN
ejpam-5892	173	16	achieves	achieve	VERB
ejpam-5892	173	17	an	an	DET
ejpam-5892	173	18	acceptable	acceptable	ADJ
ejpam-5892	173	19	level	level	NOUN
ejpam-5892	173	20	of	of	ADP
ejpam-5892	173	21	accuracy	accuracy	NOUN
ejpam-5892	173	22	but	but	CCONJ
ejpam-5892	173	23	the	the	DET
ejpam-5892	173	24	errors	error	NOUN
ejpam-5892	173	25	remain	remain	VERB
ejpam-5892	173	26	substantial	substantial	ADJ
ejpam-5892	173	27	,	,	PUNCT
ejpam-5892	173	28	particularly	particularly	ADV
ejpam-5892	173	29	in	in	ADP
ejpam-5892	173	30	the	the	DET
ejpam-5892	173	31	l∞	l∞	NOUN
ejpam-5892	173	32	norm	norm	NOUN
ejpam-5892	173	33	while	while	SCONJ
ejpam-5892	173	34	the	the	DET
ejpam-5892	173	35	upwind	upwind	NOUN
ejpam-5892	173	36	differencing	difference	VERB
ejpam-5892	173	37	scheme	scheme	NOUN
ejpam-5892	173	38	improves	improve	VERB
ejpam-5892	173	39	upon	upon	SCONJ
ejpam-5892	173	40	this	this	DET
ejpam-5892	173	41	improvement	improvement	NOUN
ejpam-5892	173	42	but	but	CCONJ
ejpam-5892	173	43	remains	remain	VERB
ejpam-5892	173	44	incapable	incapable	ADJ
ejpam-5892	173	45	of	of	ADP
ejpam-5892	173	46	capturing	capture	VERB
ejpam-5892	173	47	the	the	DET
ejpam-5892	173	48	finer	fine	ADJ
ejpam-5892	173	49	details	detail	NOUN
ejpam-5892	173	50	of	of	ADP
ejpam-5892	173	51	the	the	DET
ejpam-5892	173	52	solution	solution	NOUN
ejpam-5892	173	53	.	.	PUNCT
ejpam-5892	174	1	the	the	DET
ejpam-5892	174	2	weno3	weno3	NOUN
ejpam-5892	174	3	and	and	CCONJ
ejpam-5892	174	4	weno5	weno5	ADJ
ejpam-5892	174	5	schemes	scheme	NOUN
ejpam-5892	174	6	in	in	ADP
ejpam-5892	174	7	table	table	NOUN
ejpam-5892	174	8	6	6	NUM
ejpam-5892	174	9	,	,	PUNCT
ejpam-5892	174	10	continue	continue	VERB
ejpam-5892	174	11	to	to	PART
ejpam-5892	174	12	excel	excel	VERB
ejpam-5892	174	13	the	the	DET
ejpam-5892	174	14	lower	low	ADJ
ejpam-5892	174	15	-	-	PUNCT
ejpam-5892	174	16	order	order	NOUN
ejpam-5892	174	17	methods	method	NOUN
ejpam-5892	174	18	and	and	CCONJ
ejpam-5892	174	19	achieve	achieve	VERB
ejpam-5892	174	20	substantially	substantially	ADV
ejpam-5892	174	21	lower	low	ADJ
ejpam-5892	174	22	error	error	NOUN
ejpam-5892	174	23	values	value	NOUN
ejpam-5892	174	24	.	.	PUNCT
ejpam-5892	175	1	this	this	PRON
ejpam-5892	175	2	is	be	AUX
ejpam-5892	175	3	particularly	particularly	ADV
ejpam-5892	175	4	apparent	apparent	ADJ
ejpam-5892	175	5	in	in	ADP
ejpam-5892	175	6	their	their	PRON
ejpam-5892	175	7	ability	ability	NOUN
ejpam-5892	175	8	to	to	PART
ejpam-5892	175	9	resolve	resolve	VERB
ejpam-5892	175	10	the	the	DET
ejpam-5892	175	11	solution	solution	NOUN
ejpam-5892	175	12	’s	’s	PART
ejpam-5892	175	13	features	feature	NOUN
ejpam-5892	175	14	as	as	SCONJ
ejpam-5892	175	15	represented	represent	VERB
ejpam-5892	175	16	in	in	ADP
ejpam-5892	175	17	figure	figure	NOUN
ejpam-5892	175	18	6	6	NUM
ejpam-5892	175	19	.	.	PUNCT
ejpam-5892	176	1	the	the	DET
ejpam-5892	176	2	high	high	ADJ
ejpam-5892	176	3	fidelity	fidelity	NOUN
ejpam-5892	176	4	of	of	ADP
ejpam-5892	176	5	the	the	DET
ejpam-5892	176	6	weno	weno	NOUN
ejpam-5892	176	7	schemes	scheme	NOUN
ejpam-5892	176	8	especially	especially	ADV
ejpam-5892	176	9	is	be	AUX
ejpam-5892	176	10	essential	essential	ADJ
ejpam-5892	176	11	for	for	ADP
ejpam-5892	176	12	applications	application	NOUN
ejpam-5892	176	13	involving	involve	VERB
ejpam-5892	176	14	sharp	sharp	ADJ
ejpam-5892	176	15	gradients	gradient	NOUN
ejpam-5892	176	16	where	where	SCONJ
ejpam-5892	176	17	diffusion	diffusion	NOUN
ejpam-5892	176	18	plays	play	VERB
ejpam-5892	176	19	a	a	DET
ejpam-5892	176	20	critical	critical	ADJ
ejpam-5892	176	21	role	role	NOUN
ejpam-5892	176	22	in	in	ADP
ejpam-5892	176	23	the	the	DET
ejpam-5892	176	24	solution	solution	NOUN
ejpam-5892	176	25	behavior	behavior	NOUN
ejpam-5892	176	26	.	.	PUNCT
ejpam-5892	177	1	8	8	X
ejpam-5892	177	2	.	.	X
ejpam-5892	177	3	conclusion	conclusion	NOUN
ejpam-5892	177	4	this	this	DET
ejpam-5892	177	5	study	study	NOUN
ejpam-5892	177	6	rigorously	rigorously	ADV
ejpam-5892	177	7	examines	examine	VERB
ejpam-5892	177	8	numerical	numerical	ADJ
ejpam-5892	177	9	solutions	solution	NOUN
ejpam-5892	177	10	to	to	ADP
ejpam-5892	177	11	the	the	DET
ejpam-5892	177	12	one	one	NUM
ejpam-5892	177	13	-	-	PUNCT
ejpam-5892	177	14	dimensional	dimensional	ADJ
ejpam-5892	177	15	linear	linear	ADJ
ejpam-5892	177	16	advection	advection	NOUN
ejpam-5892	177	17	equation	equation	NOUN
ejpam-5892	177	18	and	and	CCONJ
ejpam-5892	177	19	the	the	DET
ejpam-5892	177	20	two	two	NUM
ejpam-5892	177	21	-	-	PUNCT
ejpam-5892	177	22	dimensional	dimensional	ADJ
ejpam-5892	177	23	burgers	burger	NOUN
ejpam-5892	177	24	’	'	PUNCT
ejpam-5892	177	25	equation	equation	NOUN
ejpam-5892	177	26	using	use	VERB
ejpam-5892	177	27	the	the	DET
ejpam-5892	177	28	weighted	weight	VERB
ejpam-5892	177	29	essentially	essentially	ADV
ejpam-5892	177	30	non	non	ADJ
ejpam-5892	177	31	-	-	ADJ
ejpam-5892	177	32	oscillatory	oscillatory	ADJ
ejpam-5892	177	33	(	(	PUNCT
ejpam-5892	177	34	weno5	weno5	NOUN
ejpam-5892	177	35	)	)	PUNCT
ejpam-5892	177	36	method	method	NOUN
ejpam-5892	177	37	.	.	PUNCT
ejpam-5892	178	1	the	the	DET
ejpam-5892	178	2	results	result	NOUN
ejpam-5892	178	3	demonstrate	demonstrate	VERB
ejpam-5892	178	4	significantly	significantly	ADV
ejpam-5892	178	5	lower	low	ADJ
ejpam-5892	178	6	error	error	NOUN
ejpam-5892	178	7	rates	rate	NOUN
ejpam-5892	178	8	across	across	ADP
ejpam-5892	178	9	various	various	ADJ
ejpam-5892	178	10	norms	norm	NOUN
ejpam-5892	178	11	,	,	PUNCT
ejpam-5892	178	12	including	include	VERB
ejpam-5892	178	13	l1	l1	PROPN
ejpam-5892	178	14	,	,	PUNCT
ejpam-5892	178	15	l2	l2	NOUN
ejpam-5892	178	16	,	,	PUNCT
ejpam-5892	178	17	and	and	CCONJ
ejpam-5892	178	18	l∞.	l∞.	ADP
ejpam-5892	178	19	the	the	DET
ejpam-5892	178	20	superior	superior	ADJ
ejpam-5892	178	21	performance	performance	NOUN
ejpam-5892	178	22	of	of	ADP
ejpam-5892	178	23	weno5	weno5	PROPN
ejpam-5892	178	24	is	be	AUX
ejpam-5892	178	25	particularly	particularly	ADV
ejpam-5892	178	26	evident	evident	ADJ
ejpam-5892	178	27	when	when	SCONJ
ejpam-5892	178	28	compared	compare	VERB
ejpam-5892	178	29	to	to	ADP
ejpam-5892	178	30	lower	low	ADJ
ejpam-5892	178	31	-	-	PUNCT
ejpam-5892	178	32	order	order	NOUN
ejpam-5892	178	33	schemes	scheme	NOUN
ejpam-5892	178	34	.	.	PUNCT
ejpam-5892	179	1	specifically	specifically	ADV
ejpam-5892	179	2	,	,	PUNCT
ejpam-5892	179	3	this	this	DET
ejpam-5892	179	4	research	research	NOUN
ejpam-5892	179	5	establishes	establish	VERB
ejpam-5892	179	6	that	that	SCONJ
ejpam-5892	179	7	weno5	weno5	PROPN
ejpam-5892	179	8	outperforms	outperform	VERB
ejpam-5892	179	9	other	other	ADJ
ejpam-5892	179	10	methods	method	NOUN
ejpam-5892	179	11	,	,	PUNCT
ejpam-5892	179	12	such	such	ADJ
ejpam-5892	179	13	as	as	ADP
ejpam-5892	179	14	t.	t.	PROPN
ejpam-5892	179	15	alfawaz	alfawaz	NOUN
ejpam-5892	179	16	,	,	PUNCT
ejpam-5892	179	17	a.m.	a.m.	PROPN
ejpam-5892	179	18	saeed	saeed	PROPN
ejpam-5892	179	19	/	/	SYM
ejpam-5892	179	20	eur	eur	PROPN
ejpam-5892	179	21	.	.	PUNCT
ejpam-5892	180	1	j.	j.	PROPN
ejpam-5892	180	2	pure	pure	PROPN
ejpam-5892	180	3	appl	appl	PROPN
ejpam-5892	180	4	.	.	PROPN
ejpam-5892	180	5	math	math	PROPN
ejpam-5892	180	6	,	,	PUNCT
ejpam-5892	180	7	18	18	NUM
ejpam-5892	180	8	(	(	PUNCT
ejpam-5892	180	9	2	2	NUM
ejpam-5892	180	10	)	)	PUNCT
ejpam-5892	180	11	(	(	PUNCT
ejpam-5892	180	12	2025	2025	NUM
ejpam-5892	180	13	)	)	PUNCT
ejpam-5892	180	14	,	,	PUNCT
ejpam-5892	180	15	5892	5892	NUM
ejpam-5892	180	16	16	16	NUM
ejpam-5892	180	17	of	of	ADP
ejpam-5892	180	18	17	17	NUM
ejpam-5892	180	19	weno3	weno3	NOUN
ejpam-5892	180	20	,	,	PUNCT
ejpam-5892	180	21	central	central	ADJ
ejpam-5892	180	22	differencing	differencing	NOUN
ejpam-5892	180	23	,	,	PUNCT
ejpam-5892	180	24	and	and	CCONJ
ejpam-5892	180	25	upwind	upwind	NOUN
ejpam-5892	180	26	differencing	differencing	NOUN
ejpam-5892	180	27	,	,	PUNCT
ejpam-5892	180	28	particularly	particularly	ADV
ejpam-5892	180	29	in	in	ADP
ejpam-5892	180	30	scenarios	scenario	NOUN
ejpam-5892	180	31	characterized	characterize	VERB
ejpam-5892	180	32	by	by	ADP
ejpam-5892	180	33	sharp	sharp	ADJ
ejpam-5892	180	34	gradients	gradient	NOUN
ejpam-5892	180	35	.	.	PUNCT
ejpam-5892	181	1	this	this	DET
ejpam-5892	181	2	capability	capability	NOUN
ejpam-5892	181	3	highlights	highlight	NOUN
ejpam-5892	181	4	weno5	weno5	VERB
ejpam-5892	181	5	’s	’s	PART
ejpam-5892	181	6	proficiency	proficiency	NOUN
ejpam-5892	181	7	in	in	ADP
ejpam-5892	181	8	addressing	address	VERB
ejpam-5892	181	9	complex	complex	ADJ
ejpam-5892	181	10	fluid	fluid	ADJ
ejpam-5892	181	11	dynamics	dynamic	NOUN
ejpam-5892	181	12	problems	problem	NOUN
ejpam-5892	181	13	where	where	SCONJ
ejpam-5892	181	14	accuracy	accuracy	NOUN
ejpam-5892	181	15	is	be	AUX
ejpam-5892	181	16	paramount	paramount	ADJ
ejpam-5892	181	17	.	.	PUNCT
ejpam-5892	182	1	future	future	ADJ
ejpam-5892	182	2	research	research	NOUN
ejpam-5892	182	3	may	may	AUX
ejpam-5892	182	4	focus	focus	VERB
ejpam-5892	182	5	on	on	ADP
ejpam-5892	182	6	extending	extend	VERB
ejpam-5892	182	7	other	other	ADJ
ejpam-5892	182	8	advanced	advanced	ADJ
ejpam-5892	182	9	numerical	numerical	ADJ
ejpam-5892	182	10	schemes	scheme	NOUN
ejpam-5892	182	11	,	,	PUNCT
ejpam-5892	182	12	such	such	ADJ
ejpam-5892	182	13	as	as	ADP
ejpam-5892	182	14	the	the	DET
ejpam-5892	182	15	targeted	target	VERB
ejpam-5892	182	16	essentially	essentially	ADV
ejpam-5892	182	17	non	non	ADJ
ejpam-5892	182	18	-	-	ADJ
ejpam-5892	182	19	oscillatory	oscillatory	ADJ
ejpam-5892	182	20	(	(	PUNCT
ejpam-5892	182	21	teno	teno	NOUN
ejpam-5892	182	22	)	)	PUNCT
ejpam-5892	182	23	scheme	scheme	NOUN
ejpam-5892	182	24	.	.	PUNCT
ejpam-5892	182	25	investigating	investigate	VERB
ejpam-5892	182	26	its	its	PRON
ejpam-5892	182	27	methodological	methodological	ADJ
ejpam-5892	182	28	techniques	technique	NOUN
ejpam-5892	182	29	could	could	AUX
ejpam-5892	182	30	lead	lead	VERB
ejpam-5892	182	31	to	to	ADP
ejpam-5892	182	32	further	further	ADJ
ejpam-5892	182	33	improvements	improvement	NOUN
ejpam-5892	182	34	in	in	ADP
ejpam-5892	182	35	computational	computational	ADJ
ejpam-5892	182	36	efficiency	efficiency	NOUN
ejpam-5892	182	37	and	and	CCONJ
ejpam-5892	182	38	accuracy	accuracy	NOUN
ejpam-5892	182	39	,	,	PUNCT
ejpam-5892	182	40	potentially	potentially	ADV
ejpam-5892	182	41	broadening	broaden	VERB
ejpam-5892	182	42	its	its	PRON
ejpam-5892	182	43	applicability	applicability	NOUN
ejpam-5892	182	44	to	to	ADP
ejpam-5892	182	45	a	a	DET
ejpam-5892	182	46	diverse	diverse	ADJ
ejpam-5892	182	47	range	range	NOUN
ejpam-5892	182	48	of	of	ADP
ejpam-5892	182	49	fluid	fluid	ADJ
ejpam-5892	182	50	dynamics	dynamic	NOUN
ejpam-5892	182	51	challenges	challenge	NOUN
ejpam-5892	182	52	.	.	PUNCT
ejpam-5892	183	1	acknowledgements	acknowledgement	NOUN
ejpam-5892	183	2	the	the	DET
ejpam-5892	183	3	researchers	researcher	NOUN
ejpam-5892	183	4	would	would	AUX
ejpam-5892	183	5	like	like	VERB
ejpam-5892	183	6	to	to	PART
ejpam-5892	183	7	thank	thank	VERB
ejpam-5892	183	8	the	the	DET
ejpam-5892	183	9	deanship	deanship	NOUN
ejpam-5892	183	10	of	of	ADP
ejpam-5892	183	11	graduate	graduate	NOUN
ejpam-5892	183	12	studies	study	NOUN
ejpam-5892	183	13	and	and	CCONJ
ejpam-5892	183	14	scientific	scientific	ADJ
ejpam-5892	183	15	research	research	NOUN
ejpam-5892	183	16	at	at	ADP
ejpam-5892	183	17	qassim	qassim	PROPN
ejpam-5892	183	18	university	university	PROPN
ejpam-5892	183	19	for	for	ADP
ejpam-5892	183	20	financial	financial	ADJ
ejpam-5892	183	21	support	support	NOUN
ejpam-5892	183	22	(	(	PUNCT
ejpam-5892	183	23	qu	qu	NOUN
ejpam-5892	183	24	-	-	NOUN
ejpam-5892	183	25	apc-2025	apc-2025	NOUN
ejpam-5892	183	26	)	)	PUNCT
ejpam-5892	183	27	.	.	PUNCT
ejpam-5892	184	1	they	they	PRON
ejpam-5892	184	2	also	also	ADV
ejpam-5892	184	3	extend	extend	VERB
ejpam-5892	184	4	their	their	PRON
ejpam-5892	184	5	appreciation	appreciation	NOUN
ejpam-5892	184	6	to	to	ADP
ejpam-5892	184	7	the	the	DET
ejpam-5892	184	8	anonymous	anonymous	ADJ
ejpam-5892	184	9	reviewers	reviewer	NOUN
ejpam-5892	184	10	for	for	ADP
ejpam-5892	184	11	their	their	PRON
ejpam-5892	184	12	insightful	insightful	ADJ
ejpam-5892	184	13	suggestions	suggestion	NOUN
ejpam-5892	184	14	,	,	PUNCT
ejpam-5892	184	15	which	which	PRON
ejpam-5892	184	16	have	have	AUX
ejpam-5892	184	17	greatly	greatly	ADV
ejpam-5892	184	18	improved	improve	VERB
ejpam-5892	184	19	the	the	DET
ejpam-5892	184	20	quality	quality	NOUN
ejpam-5892	184	21	of	of	ADP
ejpam-5892	184	22	the	the	DET
ejpam-5892	184	23	manuscript	manuscript	NOUN
ejpam-5892	184	24	.	.	PUNCT
ejpam-5892	185	1	references	reference	NOUN
ejpam-5892	185	2	[	[	X
ejpam-5892	185	3	1	1	NUM
ejpam-5892	185	4	]	]	PUNCT
ejpam-5892	185	5	fadl	fadl	NOUN
ejpam-5892	185	6	moukalled	moukalle	VERB
ejpam-5892	185	7	,	,	PUNCT
ejpam-5892	185	8	luca	luca	PROPN
ejpam-5892	185	9	mangani	mangani	PROPN
ejpam-5892	185	10	,	,	PUNCT
ejpam-5892	185	11	marwan	marwan	PROPN
ejpam-5892	185	12	darwish	darwish	PROPN
ejpam-5892	185	13	,	,	PUNCT
ejpam-5892	185	14	f	f	PROPN
ejpam-5892	185	15	moukalled	moukalle	VERB
ejpam-5892	185	16	,	,	PUNCT
ejpam-5892	185	17	l	l	NOUN
ejpam-5892	185	18	mangani	mangani	NOUN
ejpam-5892	185	19	,	,	PUNCT
ejpam-5892	185	20	and	and	CCONJ
ejpam-5892	185	21	m	m	PROPN
ejpam-5892	185	22	darwish	darwish	ADJ
ejpam-5892	185	23	.	.	PUNCT
ejpam-5892	186	1	the	the	DET
ejpam-5892	186	2	finite	finite	PROPN
ejpam-5892	186	3	volume	volume	NOUN
ejpam-5892	186	4	method	method	NOUN
ejpam-5892	186	5	.	.	PUNCT
ejpam-5892	186	6	springer	springer	NOUN
ejpam-5892	186	7	,	,	PUNCT
ejpam-5892	186	8	2016	2016	NUM
ejpam-5892	186	9	.	.	PUNCT
ejpam-5892	187	1	[	[	X
ejpam-5892	187	2	2	2	X
ejpam-5892	187	3	]	]	X
ejpam-5892	187	4	kh	kh	PROPN
ejpam-5892	187	5	lotfy	lotfy	PROPN
ejpam-5892	187	6	,	,	PUNCT
ejpam-5892	187	7	aa	aa	PROPN
ejpam-5892	187	8	el	el	PROPN
ejpam-5892	187	9	-	-	PUNCT
ejpam-5892	187	10	bary	bary	PROPN
ejpam-5892	187	11	,	,	PUNCT
ejpam-5892	187	12	w	w	PROPN
ejpam-5892	187	13	hassan	hassan	PROPN
ejpam-5892	187	14	,	,	PUNCT
ejpam-5892	187	15	and	and	CCONJ
ejpam-5892	187	16	mh	mh	PROPN
ejpam-5892	187	17	ahmed	ahmed	PROPN
ejpam-5892	187	18	.	.	PUNCT
ejpam-5892	188	1	hall	hall	PROPN
ejpam-5892	188	2	current	current	ADJ
ejpam-5892	188	3	influence	influence	NOUN
ejpam-5892	188	4	of	of	ADP
ejpam-5892	188	5	microtemperature	microtemperature	PROPN
ejpam-5892	188	6	magneto	magneto	VERB
ejpam-5892	188	7	-	-	PUNCT
ejpam-5892	188	8	elastic	elastic	ADJ
ejpam-5892	188	9	semiconductor	semiconductor	NOUN
ejpam-5892	188	10	material	material	NOUN
ejpam-5892	188	11	.	.	PUNCT
ejpam-5892	189	1	superlattices	superlattice	NOUN
ejpam-5892	189	2	and	and	CCONJ
ejpam-5892	189	3	microstructures	microstructure	NOUN
ejpam-5892	189	4	,	,	PUNCT
ejpam-5892	189	5	139:106428	139:106428	NUM
ejpam-5892	189	6	,	,	PUNCT
ejpam-5892	189	7	2020	2020	NUM
ejpam-5892	189	8	.	.	PUNCT
ejpam-5892	190	1	[	[	X
ejpam-5892	190	2	3	3	X
ejpam-5892	190	3	]	]	X
ejpam-5892	190	4	kh	kh	PROPN
ejpam-5892	190	5	lotfy	lotfy	PROPN
ejpam-5892	190	6	and	and	CCONJ
ejpam-5892	190	7	rs	rs	PROPN
ejpam-5892	190	8	tantawi	tantawi	PROPN
ejpam-5892	190	9	.	.	PUNCT
ejpam-5892	191	1	photo	photo	NOUN
ejpam-5892	191	2	-	-	PUNCT
ejpam-5892	191	3	thermal	thermal	ADJ
ejpam-5892	191	4	-	-	PUNCT
ejpam-5892	191	5	elastic	elastic	ADJ
ejpam-5892	191	6	interaction	interaction	NOUN
ejpam-5892	191	7	in	in	ADP
ejpam-5892	191	8	a	a	DET
ejpam-5892	191	9	functionally	functionally	ADV
ejpam-5892	191	10	graded	grade	VERB
ejpam-5892	191	11	material	material	NOUN
ejpam-5892	191	12	(	(	PUNCT
ejpam-5892	191	13	fgm	fgm	PROPN
ejpam-5892	191	14	)	)	PUNCT
ejpam-5892	191	15	and	and	CCONJ
ejpam-5892	191	16	magnetic	magnetic	ADJ
ejpam-5892	191	17	field	field	NOUN
ejpam-5892	191	18	.	.	PUNCT
ejpam-5892	192	1	silicon	silicon	NOUN
ejpam-5892	192	2	,	,	PUNCT
ejpam-5892	192	3	12(2):295–303	12(2):295–303	NUM
ejpam-5892	192	4	,	,	PUNCT
ejpam-5892	192	5	2020	2020	NUM
ejpam-5892	192	6	.	.	PUNCT
ejpam-5892	193	1	[	[	X
ejpam-5892	193	2	4	4	X
ejpam-5892	193	3	]	]	X
ejpam-5892	193	4	abdulghani	abdulghani	ADJ
ejpam-5892	193	5	r	r	NOUN
ejpam-5892	193	6	alharbi	alharbi	NOUN
ejpam-5892	193	7	,	,	PUNCT
ejpam-5892	193	8	mb	mb	ADP
ejpam-5892	193	9	almatrafi	almatrafi	NUM
ejpam-5892	193	10	,	,	PUNCT
ejpam-5892	193	11	and	and	CCONJ
ejpam-5892	193	12	kh	kh	PROPN
ejpam-5892	193	13	lotfy	lotfy	PROPN
ejpam-5892	193	14	.	.	PUNCT
ejpam-5892	194	1	constructions	construction	NOUN
ejpam-5892	194	2	of	of	ADP
ejpam-5892	194	3	solitary	solitary	ADJ
ejpam-5892	194	4	travelling	travel	VERB
ejpam-5892	194	5	wave	wave	NOUN
ejpam-5892	194	6	solutions	solution	NOUN
ejpam-5892	194	7	for	for	ADP
ejpam-5892	194	8	ito	ito	PROPN
ejpam-5892	194	9	integro	integro	PROPN
ejpam-5892	194	10	-	-	PUNCT
ejpam-5892	194	11	differential	differential	NOUN
ejpam-5892	194	12	equation	equation	NOUN
ejpam-5892	194	13	arising	arise	VERB
ejpam-5892	194	14	in	in	ADP
ejpam-5892	194	15	plasma	plasma	NOUN
ejpam-5892	194	16	physics	physic	NOUN
ejpam-5892	194	17	.	.	PUNCT
ejpam-5892	195	1	results	result	NOUN
ejpam-5892	195	2	in	in	ADP
ejpam-5892	195	3	physics	physics	NOUN
ejpam-5892	195	4	,	,	PUNCT
ejpam-5892	195	5	19:103533	19:103533	NUM
ejpam-5892	195	6	,	,	PUNCT
ejpam-5892	195	7	2020	2020	NUM
ejpam-5892	195	8	.	.	PUNCT
ejpam-5892	196	1	[	[	X
ejpam-5892	196	2	5	5	X
ejpam-5892	196	3	]	]	X
ejpam-5892	196	4	peng	peng	PROPN
ejpam-5892	196	5	jin	jin	PROPN
ejpam-5892	196	6	,	,	PUNCT
ejpam-5892	196	7	xi	xi	PROPN
ejpam-5892	196	8	deng	deng	PROPN
ejpam-5892	196	9	,	,	PUNCT
ejpam-5892	196	10	and	and	CCONJ
ejpam-5892	196	11	feng	feng	PROPN
ejpam-5892	196	12	xiao	xiao	PROPN
ejpam-5892	196	13	.	.	PUNCT
ejpam-5892	197	1	an	an	DET
ejpam-5892	197	2	ale	ale	NOUN
ejpam-5892	197	3	formulation	formulation	NOUN
ejpam-5892	197	4	for	for	ADP
ejpam-5892	197	5	compressible	compressible	ADJ
ejpam-5892	197	6	flows	flow	NOUN
ejpam-5892	197	7	based	base	VERB
ejpam-5892	197	8	on	on	ADP
ejpam-5892	197	9	multi	multi	ADJ
ejpam-5892	197	10	-	-	ADJ
ejpam-5892	197	11	moment	moment	ADJ
ejpam-5892	197	12	finite	finite	PROPN
ejpam-5892	197	13	volume	volume	NOUN
ejpam-5892	197	14	method	method	NOUN
ejpam-5892	197	15	.	.	PUNCT
ejpam-5892	198	1	engineering	engineering	NOUN
ejpam-5892	198	2	applications	application	NOUN
ejpam-5892	198	3	of	of	ADP
ejpam-5892	198	4	computational	computational	ADJ
ejpam-5892	198	5	fluid	fluid	ADJ
ejpam-5892	198	6	mechanics	mechanic	NOUN
ejpam-5892	198	7	,	,	PUNCT
ejpam-5892	198	8	12(1):791–809	12(1):791–809	PROPN
ejpam-5892	198	9	,	,	PUNCT
ejpam-5892	198	10	2018	2018	NUM
ejpam-5892	198	11	.	.	PUNCT
ejpam-5892	199	1	[	[	X
ejpam-5892	199	2	6	6	NUM
ejpam-5892	199	3	]	]	PUNCT
ejpam-5892	199	4	stelian	stelian	ADJ
ejpam-5892	199	5	ion	ion	NOUN
ejpam-5892	199	6	and	and	CCONJ
ejpam-5892	199	7	anca	anca	NOUN
ejpam-5892	199	8	veronica	veronica	PROPN
ejpam-5892	199	9	ion	ion	NOUN
ejpam-5892	199	10	.	.	PUNCT
ejpam-5892	200	1	a	a	DET
ejpam-5892	200	2	finite	finite	ADJ
ejpam-5892	200	3	volume	volume	NOUN
ejpam-5892	200	4	method	method	NOUN
ejpam-5892	200	5	for	for	ADP
ejpam-5892	200	6	solving	solve	VERB
ejpam-5892	200	7	generalized	generalized	ADJ
ejpam-5892	200	8	navier	navier	NOUN
ejpam-5892	200	9	-	-	PUNCT
ejpam-5892	200	10	stokes	stoke	NOUN
ejpam-5892	200	11	equations	equation	NOUN
ejpam-5892	200	12	.	.	PUNCT
ejpam-5892	201	1	annals	annal	NOUN
ejpam-5892	201	2	of	of	ADP
ejpam-5892	201	3	the	the	DET
ejpam-5892	201	4	academy	academy	NOUN
ejpam-5892	201	5	of	of	ADP
ejpam-5892	201	6	romanian	romanian	ADJ
ejpam-5892	201	7	scientists	scientist	NOUN
ejpam-5892	201	8	:	:	PUNCT
ejpam-5892	201	9	series	series	NOUN
ejpam-5892	201	10	on	on	ADP
ejpam-5892	201	11	mathematics	mathematic	NOUN
ejpam-5892	201	12	and	and	CCONJ
ejpam-5892	201	13	its	its	PRON
ejpam-5892	201	14	applications	application	NOUN
ejpam-5892	201	15	,	,	PUNCT
ejpam-5892	201	16	3:145–163	3:145–163	NUM
ejpam-5892	201	17	,	,	PUNCT
ejpam-5892	201	18	2011	2011	NUM
ejpam-5892	201	19	.	.	PUNCT
ejpam-5892	202	1	[	[	X
ejpam-5892	202	2	7	7	X
ejpam-5892	202	3	]	]	X
ejpam-5892	202	4	david	david	PROPN
ejpam-5892	202	5	trebotich	trebotich	PROPN
ejpam-5892	202	6	and	and	CCONJ
ejpam-5892	202	7	daniel	daniel	PROPN
ejpam-5892	202	8	graves	grave	NOUN
ejpam-5892	202	9	.	.	PUNCT
ejpam-5892	203	1	an	an	DET
ejpam-5892	203	2	adaptive	adaptive	ADJ
ejpam-5892	203	3	finite	finite	NOUN
ejpam-5892	203	4	volume	volume	NOUN
ejpam-5892	203	5	method	method	NOUN
ejpam-5892	203	6	for	for	ADP
ejpam-5892	203	7	the	the	DET
ejpam-5892	203	8	incompressible	incompressible	ADJ
ejpam-5892	203	9	navier	navier	NOUN
ejpam-5892	203	10	–	–	PUNCT
ejpam-5892	203	11	stokes	stoke	NOUN
ejpam-5892	203	12	equations	equation	NOUN
ejpam-5892	203	13	in	in	ADP
ejpam-5892	203	14	complex	complex	ADJ
ejpam-5892	203	15	geometries	geometry	NOUN
ejpam-5892	203	16	.	.	PUNCT
ejpam-5892	204	1	communications	communication	NOUN
ejpam-5892	204	2	in	in	ADP
ejpam-5892	204	3	applied	apply	VERB
ejpam-5892	204	4	mathematics	mathematic	NOUN
ejpam-5892	204	5	and	and	CCONJ
ejpam-5892	204	6	computational	computational	ADJ
ejpam-5892	204	7	science	science	NOUN
ejpam-5892	204	8	,	,	PUNCT
ejpam-5892	204	9	10(1):43–82	10(1):43–82	NUM
ejpam-5892	204	10	,	,	PUNCT
ejpam-5892	204	11	2015	2015	NUM
ejpam-5892	204	12	.	.	PUNCT
ejpam-5892	205	1	[	[	X
ejpam-5892	205	2	8	8	NUM
ejpam-5892	205	3	]	]	X
ejpam-5892	205	4	walter	walter	PROPN
ejpam-5892	205	5	boscheri	boscheri	PROPN
ejpam-5892	205	6	,	,	PUNCT
ejpam-5892	205	7	andrea	andrea	PROPN
ejpam-5892	205	8	chiozzi	chiozzi	PROPN
ejpam-5892	205	9	,	,	PUNCT
ejpam-5892	205	10	michele	michele	PROPN
ejpam-5892	205	11	giuliano	giuliano	PROPN
ejpam-5892	205	12	carlino	carlino	PROPN
ejpam-5892	205	13	,	,	PUNCT
ejpam-5892	205	14	and	and	CCONJ
ejpam-5892	205	15	giulia	giulia	PROPN
ejpam-5892	205	16	bertaglia	bertaglia	PROPN
ejpam-5892	205	17	.	.	PUNCT
ejpam-5892	206	1	a	a	DET
ejpam-5892	206	2	new	new	ADJ
ejpam-5892	206	3	family	family	NOUN
ejpam-5892	206	4	of	of	ADP
ejpam-5892	206	5	semi	semi	ADJ
ejpam-5892	206	6	-	-	ADJ
ejpam-5892	206	7	implicit	implicit	ADJ
ejpam-5892	206	8	finite	finite	ADJ
ejpam-5892	206	9	volume	volume	NOUN
ejpam-5892	206	10	/	/	SYM
ejpam-5892	206	11	virtual	virtual	ADJ
ejpam-5892	206	12	element	element	NOUN
ejpam-5892	206	13	methods	method	NOUN
ejpam-5892	206	14	for	for	ADP
ejpam-5892	206	15	incompressible	incompressible	ADJ
ejpam-5892	206	16	flows	flow	NOUN
ejpam-5892	206	17	on	on	ADP
ejpam-5892	206	18	unstructured	unstructured	ADJ
ejpam-5892	206	19	meshes	mesh	NOUN
ejpam-5892	206	20	.	.	PUNCT
ejpam-5892	207	1	computer	computer	NOUN
ejpam-5892	207	2	methods	method	NOUN
ejpam-5892	207	3	in	in	ADP
ejpam-5892	207	4	applied	applied	ADJ
ejpam-5892	207	5	mechanics	mechanic	NOUN
ejpam-5892	207	6	and	and	CCONJ
ejpam-5892	207	7	engineering	engineering	NOUN
ejpam-5892	207	8	,	,	PUNCT
ejpam-5892	207	9	414:116140	414:116140	NUM
ejpam-5892	207	10	,	,	PUNCT
ejpam-5892	207	11	2023	2023	NUM
ejpam-5892	207	12	.	.	PUNCT
ejpam-5892	208	1	[	[	X
ejpam-5892	208	2	9	9	NUM
ejpam-5892	208	3	]	]	SYM
ejpam-5892	208	4	dartzi	dartzi	NOUN
ejpam-5892	208	5	pan	pan	PROPN
ejpam-5892	208	6	.	.	PUNCT
ejpam-5892	209	1	a	a	DET
ejpam-5892	209	2	high	high	ADJ
ejpam-5892	209	3	-	-	PUNCT
ejpam-5892	209	4	order	order	NOUN
ejpam-5892	209	5	finite	finite	NOUN
ejpam-5892	209	6	volume	volume	NOUN
ejpam-5892	209	7	method	method	NOUN
ejpam-5892	209	8	solving	solve	VERB
ejpam-5892	209	9	viscous	viscous	ADJ
ejpam-5892	209	10	incompressible	incompressible	ADJ
ejpam-5892	209	11	flows	flow	NOUN
ejpam-5892	209	12	using	use	VERB
ejpam-5892	209	13	general	general	ADJ
ejpam-5892	209	14	pressure	pressure	NOUN
ejpam-5892	209	15	equation	equation	NOUN
ejpam-5892	209	16	.	.	PUNCT
ejpam-5892	210	1	numerical	numerical	ADJ
ejpam-5892	210	2	heat	heat	NOUN
ejpam-5892	210	3	transfer	transfer	NOUN
ejpam-5892	210	4	,	,	PUNCT
ejpam-5892	210	5	part	part	NOUN
ejpam-5892	210	6	b	b	NOUN
ejpam-5892	210	7	:	:	PUNCT
ejpam-5892	210	8	fundamentals	fundamental	NOUN
ejpam-5892	210	9	,	,	PUNCT
ejpam-5892	210	10	82(5):146–163	82(5):146–163	NUM
ejpam-5892	210	11	,	,	PUNCT
ejpam-5892	210	12	2022	2022	NUM
ejpam-5892	210	13	.	.	PUNCT
ejpam-5892	211	1	t.	t.	PROPN
ejpam-5892	211	2	alfawaz	alfawaz	PROPN
ejpam-5892	211	3	,	,	PUNCT
ejpam-5892	211	4	a.m.	a.m.	PROPN
ejpam-5892	211	5	saeed	saeed	PROPN
ejpam-5892	211	6	/	/	SYM
ejpam-5892	211	7	eur	eur	PROPN
ejpam-5892	211	8	.	.	PUNCT
ejpam-5892	212	1	j.	j.	PROPN
ejpam-5892	212	2	pure	pure	PROPN
ejpam-5892	212	3	appl	appl	PROPN
ejpam-5892	212	4	.	.	PROPN
ejpam-5892	212	5	math	math	PROPN
ejpam-5892	212	6	,	,	PUNCT
ejpam-5892	212	7	18	18	NUM
ejpam-5892	212	8	(	(	PUNCT
ejpam-5892	212	9	2	2	NUM
ejpam-5892	212	10	)	)	PUNCT
ejpam-5892	212	11	(	(	PUNCT
ejpam-5892	212	12	2025	2025	NUM
ejpam-5892	212	13	)	)	PUNCT
ejpam-5892	212	14	,	,	PUNCT
ejpam-5892	212	15	5892	5892	NUM
ejpam-5892	212	16	17	17	NUM
ejpam-5892	212	17	of	of	ADP
ejpam-5892	212	18	17	17	NUM
ejpam-5892	212	19	[	[	SYM
ejpam-5892	212	20	10	10	NUM
ejpam-5892	212	21	]	]	PUNCT
ejpam-5892	212	22	rainer	rainer	NOUN
ejpam-5892	212	23	ansorge	ansorge	NOUN
ejpam-5892	212	24	and	and	CCONJ
ejpam-5892	212	25	thomas	thomas	PROPN
ejpam-5892	212	26	sonar	sonar	PROPN
ejpam-5892	212	27	.	.	PUNCT
ejpam-5892	213	1	mathematical	mathematical	ADJ
ejpam-5892	213	2	models	model	NOUN
ejpam-5892	213	3	of	of	ADP
ejpam-5892	213	4	fluid	fluid	ADJ
ejpam-5892	213	5	dynamics	dynamic	NOUN
ejpam-5892	213	6	:	:	PUNCT
ejpam-5892	213	7	modelling	modelling	NOUN
ejpam-5892	213	8	,	,	PUNCT
ejpam-5892	213	9	theory	theory	NOUN
ejpam-5892	213	10	,	,	PUNCT
ejpam-5892	213	11	basic	basic	ADJ
ejpam-5892	213	12	numerical	numerical	ADJ
ejpam-5892	213	13	facts	fact	NOUN
ejpam-5892	213	14	-	-	PUNCT
ejpam-5892	213	15	an	an	DET
ejpam-5892	213	16	introduction	introduction	NOUN
ejpam-5892	213	17	.	.	PUNCT
ejpam-5892	214	1	john	john	PROPN
ejpam-5892	214	2	wiley	wiley	PROPN
ejpam-5892	214	3	&	&	CCONJ
ejpam-5892	214	4	sons	son	NOUN
ejpam-5892	214	5	,	,	PUNCT
ejpam-5892	214	6	2009	2009	NUM
ejpam-5892	214	7	.	.	PUNCT
ejpam-5892	215	1	[	[	X
ejpam-5892	215	2	11	11	NUM
ejpam-5892	215	3	]	]	X
ejpam-5892	215	4	bram	bram	PROPN
ejpam-5892	215	5	van	van	PROPN
ejpam-5892	215	6	leer	leer	PROPN
ejpam-5892	215	7	and	and	CCONJ
ejpam-5892	215	8	kenneth	kenneth	PROPN
ejpam-5892	215	9	g	g	PROPN
ejpam-5892	215	10	powell	powell	PROPN
ejpam-5892	215	11	.	.	PUNCT
ejpam-5892	216	1	introduction	introduction	NOUN
ejpam-5892	216	2	to	to	ADP
ejpam-5892	216	3	computational	computational	ADJ
ejpam-5892	216	4	fluid	fluid	ADJ
ejpam-5892	216	5	dynamics	dynamic	NOUN
ejpam-5892	216	6	.	.	PUNCT
ejpam-5892	217	1	encyclopedia	encyclopedia	NOUN
ejpam-5892	217	2	of	of	ADP
ejpam-5892	217	3	aerospace	aerospace	NOUN
ejpam-5892	217	4	engineering	engineering	NOUN
ejpam-5892	217	5	,	,	PUNCT
ejpam-5892	217	6	5:12–16	5:12–16	PROPN
ejpam-5892	217	7	,	,	PUNCT
ejpam-5892	217	8	2010	2010	NUM
ejpam-5892	217	9	.	.	PUNCT
ejpam-5892	218	1	[	[	X
ejpam-5892	218	2	12	12	NUM
ejpam-5892	218	3	]	]	PUNCT
ejpam-5892	218	4	ami	ami	X
ejpam-5892	218	5	harten	harten	NOUN
ejpam-5892	218	6	,	,	PUNCT
ejpam-5892	218	7	bjorn	bjorn	NOUN
ejpam-5892	218	8	engquist	engquist	NOUN
ejpam-5892	218	9	,	,	PUNCT
ejpam-5892	218	10	stanley	stanley	PROPN
ejpam-5892	218	11	osher	osher	PROPN
ejpam-5892	218	12	,	,	PUNCT
ejpam-5892	218	13	and	and	CCONJ
ejpam-5892	218	14	sukumar	sukumar	PROPN
ejpam-5892	218	15	r	r	PROPN
ejpam-5892	218	16	chakravarthy	chakravarthy	ADJ
ejpam-5892	218	17	.	.	PUNCT
ejpam-5892	219	1	uniformly	uniformly	ADV
ejpam-5892	219	2	high	high	ADJ
ejpam-5892	219	3	order	order	NOUN
ejpam-5892	219	4	accurate	accurate	ADJ
ejpam-5892	219	5	essentially	essentially	ADV
ejpam-5892	219	6	non	non	ADJ
ejpam-5892	219	7	-	-	ADJ
ejpam-5892	219	8	oscillatory	oscillatory	ADJ
ejpam-5892	219	9	schemes	scheme	NOUN
ejpam-5892	219	10	,	,	PUNCT
ejpam-5892	219	11	iii	iii	PROPN
ejpam-5892	219	12	.	.	PROPN
ejpam-5892	219	13	journal	journal	PROPN
ejpam-5892	219	14	of	of	ADP
ejpam-5892	219	15	computational	computational	ADJ
ejpam-5892	219	16	physics	physics	NOUN
ejpam-5892	219	17	,	,	PUNCT
ejpam-5892	219	18	131(1):3–47	131(1):3–47	NUM
ejpam-5892	219	19	,	,	PUNCT
ejpam-5892	219	20	1997	1997	NUM
ejpam-5892	219	21	.	.	PUNCT
ejpam-5892	220	1	[	[	X
ejpam-5892	220	2	13	13	NUM
ejpam-5892	220	3	]	]	X
ejpam-5892	220	4	chi	chi	PROPN
ejpam-5892	220	5	-	-	PUNCT
ejpam-5892	220	6	wang	wang	PROPN
ejpam-5892	220	7	shu	shu	PROPN
ejpam-5892	220	8	.	.	PUNCT
ejpam-5892	221	1	essentially	essentially	ADV
ejpam-5892	221	2	non	non	ADJ
ejpam-5892	221	3	-	-	ADJ
ejpam-5892	221	4	oscillatory	oscillatory	ADJ
ejpam-5892	221	5	and	and	CCONJ
ejpam-5892	221	6	weighted	weight	VERB
ejpam-5892	221	7	essentially	essentially	ADV
ejpam-5892	221	8	non	non	ADJ
ejpam-5892	221	9	-	-	ADJ
ejpam-5892	221	10	oscillatory	oscillatory	ADJ
ejpam-5892	221	11	schemes	scheme	NOUN
ejpam-5892	221	12	.	.	PUNCT
ejpam-5892	222	1	acta	acta	PROPN
ejpam-5892	222	2	numerica	numerica	PROPN
ejpam-5892	222	3	,	,	PUNCT
ejpam-5892	222	4	29:701–762	29:701–762	PROPN
ejpam-5892	222	5	,	,	PUNCT
ejpam-5892	222	6	2020	2020	NUM
ejpam-5892	222	7	.	.	PUNCT
ejpam-5892	223	1	[	[	X
ejpam-5892	223	2	14	14	NUM
ejpam-5892	223	3	]	]	PUNCT
ejpam-5892	223	4	shuhai	shuhai	PROPN
ejpam-5892	223	5	zhang	zhang	PROPN
ejpam-5892	223	6	,	,	PUNCT
ejpam-5892	223	7	jun	jun	PROPN
ejpam-5892	223	8	zhu	zhu	PROPN
ejpam-5892	223	9	,	,	PUNCT
ejpam-5892	223	10	and	and	CCONJ
ejpam-5892	223	11	chi	chi	PROPN
ejpam-5892	223	12	-	-	PUNCT
ejpam-5892	223	13	wang	wang	PROPN
ejpam-5892	223	14	shu	shu	PROPN
ejpam-5892	223	15	.	.	PUNCT
ejpam-5892	224	1	a	a	DET
ejpam-5892	224	2	brief	brief	ADJ
ejpam-5892	224	3	review	review	NOUN
ejpam-5892	224	4	on	on	ADP
ejpam-5892	224	5	the	the	DET
ejpam-5892	224	6	convergence	convergence	NOUN
ejpam-5892	224	7	to	to	PART
ejpam-5892	224	8	steady	steady	VERB
ejpam-5892	224	9	state	state	NOUN
ejpam-5892	224	10	solutions	solution	NOUN
ejpam-5892	224	11	of	of	ADP
ejpam-5892	224	12	euler	euler	NOUN
ejpam-5892	224	13	equations	equation	NOUN
ejpam-5892	224	14	with	with	ADP
ejpam-5892	224	15	high	high	ADJ
ejpam-5892	224	16	-	-	PUNCT
ejpam-5892	224	17	order	order	NOUN
ejpam-5892	224	18	weno	weno	NOUN
ejpam-5892	224	19	schemes	scheme	NOUN
ejpam-5892	224	20	.	.	PUNCT
ejpam-5892	225	1	advances	advance	NOUN
ejpam-5892	225	2	in	in	ADP
ejpam-5892	225	3	aerodynamics	aerodynamic	NOUN
ejpam-5892	225	4	,	,	PUNCT
ejpam-5892	225	5	1:1–25	1:1–25	NUM
ejpam-5892	225	6	,	,	PUNCT
ejpam-5892	225	7	2019	2019	NUM
ejpam-5892	225	8	.	.	PUNCT
ejpam-5892	226	1	[	[	X
ejpam-5892	226	2	15	15	NUM
ejpam-5892	226	3	]	]	X
ejpam-5892	226	4	pawel	pawel	PROPN
ejpam-5892	226	5	buchmüller	buchmüller	PROPN
ejpam-5892	226	6	.	.	PUNCT
ejpam-5892	226	7	high	high	ADJ
ejpam-5892	226	8	-	-	PUNCT
ejpam-5892	226	9	order	order	NOUN
ejpam-5892	226	10	weno	weno	NOUN
ejpam-5892	226	11	finite	finite	PROPN
ejpam-5892	226	12	volume	volume	NOUN
ejpam-5892	226	13	methods	method	NOUN
ejpam-5892	226	14	on	on	ADP
ejpam-5892	226	15	cartesian	cartesian	ADJ
ejpam-5892	226	16	grids	grid	NOUN
ejpam-5892	226	17	with	with	ADP
ejpam-5892	226	18	adaptive	adaptive	ADJ
ejpam-5892	226	19	mesh	mesh	NOUN
ejpam-5892	226	20	refinement	refinement	NOUN
ejpam-5892	226	21	.	.	PUNCT
ejpam-5892	227	1	phd	phd	NOUN
ejpam-5892	227	2	thesis	thesis	NOUN
ejpam-5892	227	3	,	,	PUNCT
ejpam-5892	227	4	dissertation	dissertation	NOUN
ejpam-5892	227	5	,	,	PUNCT
ejpam-5892	227	6	düsseldorf	düsseldorf	NOUN
ejpam-5892	227	7	,	,	PUNCT
ejpam-5892	227	8	heinrichheine	heinrichheine	NOUN
ejpam-5892	227	9	-	-	PUNCT
ejpam-5892	227	10	universität	universität	NOUN
ejpam-5892	227	11	,	,	PUNCT
ejpam-5892	227	12	2016	2016	NUM
ejpam-5892	227	13	,	,	PUNCT
ejpam-5892	227	14	2016	2016	NUM
ejpam-5892	227	15	.	.	PUNCT
ejpam-5892	228	1	[	[	X
ejpam-5892	228	2	16	16	NUM
ejpam-5892	228	3	]	]	X
ejpam-5892	228	4	y	y	PROPN
ejpam-5892	228	5	-	-	PUNCT
ejpam-5892	228	6	t	t	PROPN
ejpam-5892	228	7	zhang	zhang	PROPN
ejpam-5892	228	8	and	and	CCONJ
ejpam-5892	228	9	c	c	X
ejpam-5892	228	10	-	-	PUNCT
ejpam-5892	228	11	w	w	PROPN
ejpam-5892	228	12	shu	shu	PROPN
ejpam-5892	228	13	.	.	PUNCT
ejpam-5892	229	1	eno	eno	PROPN
ejpam-5892	229	2	and	and	CCONJ
ejpam-5892	229	3	weno	weno	PROPN
ejpam-5892	229	4	schemes	scheme	NOUN
ejpam-5892	229	5	.	.	PUNCT
ejpam-5892	230	1	in	in	ADP
ejpam-5892	230	2	handbook	handbook	NOUN
ejpam-5892	230	3	of	of	ADP
ejpam-5892	230	4	numerical	numerical	ADJ
ejpam-5892	230	5	analysis	analysis	NOUN
ejpam-5892	230	6	,	,	PUNCT
ejpam-5892	230	7	volume	volume	NOUN
ejpam-5892	230	8	17	17	NUM
ejpam-5892	230	9	,	,	PUNCT
ejpam-5892	230	10	pages	page	NOUN
ejpam-5892	230	11	103–122	103–122	NUM
ejpam-5892	230	12	.	.	PUNCT
ejpam-5892	230	13	elsevier	elsevier	NOUN
ejpam-5892	230	14	,	,	PUNCT
ejpam-5892	230	15	2016	2016	NUM
ejpam-5892	230	16	.	.	PUNCT
ejpam-5892	231	1	[	[	X
ejpam-5892	231	2	17	17	NUM
ejpam-5892	231	3	]	]	X
ejpam-5892	231	4	mohammad	mohammad	PROPN
ejpam-5892	231	5	afzal	afzal	PROPN
ejpam-5892	231	6	shadab	shadab	PROPN
ejpam-5892	231	7	,	,	PUNCT
ejpam-5892	231	8	dinshaw	dinshaw	NOUN
ejpam-5892	231	9	balsara	balsara	NOUN
ejpam-5892	231	10	,	,	PUNCT
ejpam-5892	231	11	wei	wei	PROPN
ejpam-5892	231	12	shyy	shyy	NOUN
ejpam-5892	231	13	,	,	PUNCT
ejpam-5892	231	14	and	and	CCONJ
ejpam-5892	231	15	kun	kun	PROPN
ejpam-5892	231	16	xu	xu	PROPN
ejpam-5892	231	17	.	.	PUNCT
ejpam-5892	232	1	fifth	fifth	ADJ
ejpam-5892	232	2	order	order	NOUN
ejpam-5892	232	3	finite	finite	PROPN
ejpam-5892	232	4	volume	volume	NOUN
ejpam-5892	232	5	weno	weno	PROPN
ejpam-5892	232	6	in	in	ADP
ejpam-5892	232	7	general	general	ADJ
ejpam-5892	232	8	orthogonally	orthogonally	ADV
ejpam-5892	232	9	-	-	PUNCT
ejpam-5892	232	10	curvilinear	curvilinear	ADJ
ejpam-5892	232	11	coordinates	coordinate	NOUN
ejpam-5892	232	12	.	.	PUNCT
ejpam-5892	233	1	computers	computer	NOUN
ejpam-5892	233	2	&	&	CCONJ
ejpam-5892	233	3	fluids	fluid	NOUN
ejpam-5892	233	4	,	,	PUNCT
ejpam-5892	233	5	190:398–424	190:398–424	NUM
ejpam-5892	233	6	,	,	PUNCT
ejpam-5892	233	7	2019	2019	NUM
ejpam-5892	233	8	.	.	PUNCT
ejpam-5892	234	1	[	[	X
ejpam-5892	234	2	18	18	NUM
ejpam-5892	234	3	]	]	X
ejpam-5892	234	4	shantanu	shantanu	PROPN
ejpam-5892	234	5	shahane	shahane	PROPN
ejpam-5892	234	6	,	,	PUNCT
ejpam-5892	234	7	sheide	sheide	NOUN
ejpam-5892	234	8	chammas	chammas	PROPN
ejpam-5892	234	9	,	,	PUNCT
ejpam-5892	234	10	deniz	deniz	PROPN
ejpam-5892	234	11	a	a	DET
ejpam-5892	234	12	bezgin	bezgin	NOUN
ejpam-5892	234	13	,	,	PUNCT
ejpam-5892	234	14	aaron	aaron	PROPN
ejpam-5892	234	15	b	b	PROPN
ejpam-5892	234	16	buhendwa	buhendwa	PROPN
ejpam-5892	234	17	,	,	PUNCT
ejpam-5892	234	18	steffen	steffen	PROPN
ejpam-5892	234	19	j	j	PROPN
ejpam-5892	234	20	schmidt	schmidt	PROPN
ejpam-5892	234	21	,	,	PUNCT
ejpam-5892	234	22	nikolaus	nikolaus	PROPN
ejpam-5892	234	23	a	a	DET
ejpam-5892	234	24	adams	adams	PROPN
ejpam-5892	234	25	,	,	PUNCT
ejpam-5892	234	26	spencer	spencer	PROPN
ejpam-5892	234	27	h	h	PROPN
ejpam-5892	234	28	bryngelson	bryngelson	PROPN
ejpam-5892	234	29	,	,	PUNCT
ejpam-5892	234	30	yi	yi	PROPN
ejpam-5892	234	31	-	-	PUNCT
ejpam-5892	234	32	fan	fan	NOUN
ejpam-5892	234	33	chen	chen	PROPN
ejpam-5892	234	34	,	,	PUNCT
ejpam-5892	234	35	qing	qing	PROPN
ejpam-5892	234	36	wang	wang	PROPN
ejpam-5892	234	37	,	,	PUNCT
ejpam-5892	234	38	fei	fei	PROPN
ejpam-5892	234	39	sha	sha	PROPN
ejpam-5892	234	40	,	,	PUNCT
ejpam-5892	234	41	et	et	PROPN
ejpam-5892	234	42	al	al	PROPN
ejpam-5892	234	43	.	.	PUNCT
ejpam-5892	235	1	rational	rational	ADJ
ejpam-5892	235	2	-	-	PUNCT
ejpam-5892	235	3	weno	weno	NOUN
ejpam-5892	235	4	:	:	PUNCT
ejpam-5892	235	5	a	a	DET
ejpam-5892	235	6	lightweight	lightweight	ADJ
ejpam-5892	235	7	,	,	PUNCT
ejpam-5892	235	8	physically	physically	ADV
ejpam-5892	235	9	-	-	PUNCT
ejpam-5892	235	10	consistent	consistent	VERB
ejpam-5892	235	11	three	three	NUM
ejpam-5892	235	12	-	-	PUNCT
ejpam-5892	235	13	point	point	NOUN
ejpam-5892	235	14	weighted	weight	VERB
ejpam-5892	235	15	essentially	essentially	ADV
ejpam-5892	235	16	non	non	ADJ
ejpam-5892	235	17	-	-	ADJ
ejpam-5892	235	18	oscillatory	oscillatory	ADJ
ejpam-5892	235	19	scheme	scheme	NOUN
ejpam-5892	235	20	.	.	PUNCT
ejpam-5892	236	1	arxiv	arxiv	PROPN
ejpam-5892	236	2	preprint	preprint	NOUN
ejpam-5892	236	3	arxiv:2409.09217	arxiv:2409.09217	NOUN
ejpam-5892	236	4	,	,	PUNCT
ejpam-5892	236	5	2024	2024	NUM
ejpam-5892	236	6	.	.	PUNCT
ejpam-5892	237	1	[	[	X
ejpam-5892	237	2	19	19	NUM
ejpam-5892	237	3	]	]	X
ejpam-5892	237	4	fei	fei	PROPN
ejpam-5892	237	5	teng	teng	PROPN
ejpam-5892	237	6	,	,	PUNCT
ejpam-5892	237	7	li	li	PROPN
ejpam-5892	237	8	yuan	yuan	PROPN
ejpam-5892	237	9	,	,	PUNCT
ejpam-5892	237	10	and	and	CCONJ
ejpam-5892	237	11	tao	tao	PROPN
ejpam-5892	237	12	tang	tang	PROPN
ejpam-5892	237	13	.	.	PUNCT
ejpam-5892	238	1	a	a	DET
ejpam-5892	238	2	speed	speed	NOUN
ejpam-5892	238	3	-	-	PUNCT
ejpam-5892	238	4	up	up	ADP
ejpam-5892	238	5	strategy	strategy	NOUN
ejpam-5892	238	6	for	for	ADP
ejpam-5892	238	7	finite	finite	ADJ
ejpam-5892	238	8	volume	volume	NOUN
ejpam-5892	238	9	weno	weno	NOUN
ejpam-5892	238	10	schemes	scheme	NOUN
ejpam-5892	238	11	for	for	ADP
ejpam-5892	238	12	hyperbolic	hyperbolic	ADJ
ejpam-5892	238	13	conservation	conservation	NOUN
ejpam-5892	238	14	laws	law	NOUN
ejpam-5892	238	15	.	.	PUNCT
ejpam-5892	239	1	journal	journal	NOUN
ejpam-5892	239	2	of	of	ADP
ejpam-5892	239	3	scientific	scientific	ADJ
ejpam-5892	239	4	computing	computing	NOUN
ejpam-5892	239	5	,	,	PUNCT
ejpam-5892	239	6	46:359–378	46:359–378	PROPN
ejpam-5892	239	7	,	,	PUNCT
ejpam-5892	239	8	2011	2011	NUM
ejpam-5892	239	9	.	.	PUNCT