id	sid	tid	token	lemma	pos
ejpam-3619	1	1	european	european	PROPN
ejpam-3619	1	2	journal	journal	PROPN
ejpam-3619	1	3	of	of	ADP
ejpam-3619	1	4	pure	pure	ADJ
ejpam-3619	1	5	and	and	CCONJ
ejpam-3619	1	6	applied	apply	VERB
ejpam-3619	1	7	mathematics	mathematic	NOUN
ejpam-3619	1	8	vol	vol	NOUN
ejpam-3619	1	9	.	.	PROPN
ejpam-3619	2	1	13	13	NUM
ejpam-3619	2	2	,	,	PUNCT
ejpam-3619	2	3	no	no	INTJ
ejpam-3619	2	4	.	.	NOUN
ejpam-3619	2	5	1	1	NUM
ejpam-3619	2	6	,	,	PUNCT
ejpam-3619	2	7	2020	2020	NUM
ejpam-3619	2	8	,	,	PUNCT
ejpam-3619	2	9	144	144	NUM
ejpam-3619	2	10	-	-	SYM
ejpam-3619	2	11	157	157	NUM
ejpam-3619	2	12	issn	issn	PROPN
ejpam-3619	2	13	1307	1307	NUM
ejpam-3619	2	14	-	-	SYM
ejpam-3619	2	15	5543	5543	NUM
ejpam-3619	2	16	–	–	PUNCT
ejpam-3619	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3619	2	18	published	publish	VERB
ejpam-3619	2	19	by	by	ADP
ejpam-3619	2	20	new	new	PROPN
ejpam-3619	2	21	york	york	PROPN
ejpam-3619	2	22	business	business	PROPN
ejpam-3619	2	23	global	global	PROPN
ejpam-3619	2	24	numerical	numerical	ADJ
ejpam-3619	2	25	methods	method	NOUN
ejpam-3619	2	26	for	for	ADP
ejpam-3619	2	27	advection	advection	NOUN
ejpam-3619	2	28	problem	problem	NOUN
ejpam-3619	2	29	diogène	diogène	PROPN
ejpam-3619	2	30	vianney	vianney	PROPN
ejpam-3619	2	31	pongui	pongui	VERB
ejpam-3619	2	32	ngoma1	ngoma1	PROPN
ejpam-3619	2	33	,	,	PUNCT
ejpam-3619	2	34	germain	germain	PROPN
ejpam-3619	2	35	nguimbi1∗	nguimbi1∗	PROPN
ejpam-3619	2	36	,	,	PUNCT
ejpam-3619	2	37	vital	vital	ADJ
ejpam-3619	2	38	delmas	delmas	PROPN
ejpam-3619	2	39	mabonzo2	mabonzo2	PROPN
ejpam-3619	2	40	,	,	PUNCT
ejpam-3619	2	41	narcisse	narcisse	PROPN
ejpam-3619	2	42	batangouna1	batangouna1	PROPN
ejpam-3619	2	43	1	1	NUM
ejpam-3619	2	44	ecole	ecole	PROPN
ejpam-3619	2	45	nationale	nationale	PROPN
ejpam-3619	2	46	supérieure	supérieure	PROPN
ejpam-3619	2	47	polytechnique	polytechnique	NOUN
ejpam-3619	2	48	,	,	PUNCT
ejpam-3619	2	49	marien	marien	PROPN
ejpam-3619	2	50	ngouabi	ngouabi	PROPN
ejpam-3619	2	51	university	university	PROPN
ejpam-3619	2	52	,	,	PUNCT
ejpam-3619	2	53	congo	congo	PROPN
ejpam-3619	2	54	2	2	NUM
ejpam-3619	2	55	parcours	parcours	X
ejpam-3619	2	56	mathématiques	mathématiques	PROPN
ejpam-3619	2	57	,	,	PUNCT
ejpam-3619	2	58	e.n.s	e.n.s	PROPN
ejpam-3619	2	59	,	,	PUNCT
ejpam-3619	2	60	marien	marien	PROPN
ejpam-3619	2	61	ngouabi	ngouabi	PROPN
ejpam-3619	2	62	university	university	PROPN
ejpam-3619	2	63	,	,	PUNCT
ejpam-3619	2	64	brazzaville	brazzaville	PROPN
ejpam-3619	2	65	,	,	PUNCT
ejpam-3619	2	66	congo	congo	PROPN
ejpam-3619	2	67	abstract	abstract	NOUN
ejpam-3619	2	68	.	.	PUNCT
ejpam-3619	3	1	this	this	DET
ejpam-3619	3	2	paper	paper	NOUN
ejpam-3619	3	3	aims	aim	VERB
ejpam-3619	3	4	is	be	AUX
ejpam-3619	3	5	to	to	PART
ejpam-3619	3	6	solve	solve	VERB
ejpam-3619	3	7	an	an	DET
ejpam-3619	3	8	advection	advection	NOUN
ejpam-3619	3	9	problem	problem	NOUN
ejpam-3619	3	10	where	where	SCONJ
ejpam-3619	3	11	u	u	NOUN
ejpam-3619	3	12	=	=	NOUN
ejpam-3619	3	13	u(x	u(x	NOUN
ejpam-3619	3	14	,	,	PUNCT
ejpam-3619	3	15	t	t	PROPN
ejpam-3619	3	16	)	)	PUNCT
ejpam-3619	3	17	is	be	AUX
ejpam-3619	3	18	the	the	DET
ejpam-3619	3	19	solution	solution	NOUN
ejpam-3619	3	20	by	by	ADP
ejpam-3619	3	21	lax	lax	NOUN
ejpam-3619	3	22	-	-	PUNCT
ejpam-3619	3	23	wendrof	wendrof	NOUN
ejpam-3619	3	24	and	and	CCONJ
ejpam-3619	3	25	finite	finite	ADJ
ejpam-3619	3	26	difference	difference	NOUN
ejpam-3619	3	27	methods	method	NOUN
ejpam-3619	3	28	,	,	PUNCT
ejpam-3619	3	29	to	to	PART
ejpam-3619	3	30	study	study	VERB
ejpam-3619	3	31	the	the	DET
ejpam-3619	3	32	analytical	analytical	ADJ
ejpam-3619	3	33	stability	stability	NOUN
ejpam-3619	3	34	in	in	ADP
ejpam-3619	3	35	l2[0	l2[0	PROPN
ejpam-3619	3	36	,	,	PUNCT
ejpam-3619	3	37	1	1	NUM
ejpam-3619	3	38	]	]	PUNCT
ejpam-3619	3	39	,	,	PUNCT
ejpam-3619	3	40	l∞[0	l∞[0	NOUN
ejpam-3619	3	41	,	,	PUNCT
ejpam-3619	3	42	1	1	NUM
ejpam-3619	3	43	]	]	PUNCT
ejpam-3619	3	44	,	,	PUNCT
ejpam-3619	3	45	then	then	ADV
ejpam-3619	3	46	calculate	calculate	VERB
ejpam-3619	3	47	the	the	DET
ejpam-3619	3	48	truncation	truncation	NOUN
ejpam-3619	3	49	error	error	NOUN
ejpam-3619	3	50	of	of	ADP
ejpam-3619	3	51	these	these	DET
ejpam-3619	3	52	methods	method	NOUN
ejpam-3619	3	53	and	and	CCONJ
ejpam-3619	3	54	finally	finally	ADV
ejpam-3619	3	55	study	study	VERB
ejpam-3619	3	56	the	the	DET
ejpam-3619	3	57	analytical	analytical	ADJ
ejpam-3619	3	58	convergence	convergence	NOUN
ejpam-3619	3	59	of	of	ADP
ejpam-3619	3	60	these	these	DET
ejpam-3619	3	61	methods	method	NOUN
ejpam-3619	3	62	.	.	PUNCT
ejpam-3619	4	1	these	these	DET
ejpam-3619	4	2	numerical	numerical	ADJ
ejpam-3619	4	3	techniques	technique	NOUN
ejpam-3619	4	4	of	of	ADP
ejpam-3619	4	5	resolution	resolution	NOUN
ejpam-3619	4	6	were	be	AUX
ejpam-3619	4	7	implemented	implement	VERB
ejpam-3619	4	8	in	in	ADP
ejpam-3619	4	9	scilab	scilab	PROPN
ejpam-3619	4	10	.	.	PUNCT
ejpam-3619	5	1	2020	2020	NUM
ejpam-3619	5	2	mathematics	mathematics	PROPN
ejpam-3619	5	3	subject	subject	NOUN
ejpam-3619	5	4	classifications	classification	NOUN
ejpam-3619	5	5	:	:	PUNCT
ejpam-3619	5	6	65m06	65m06	NUM
ejpam-3619	5	7	,	,	PUNCT
ejpam-3619	5	8	65m12	65m12	NUM
ejpam-3619	5	9	,	,	PUNCT
ejpam-3619	5	10	65k05	65k05	NUM
ejpam-3619	5	11	,	,	PUNCT
ejpam-3619	5	12	65l12	65l12	NUM
ejpam-3619	5	13	key	key	ADJ
ejpam-3619	5	14	words	word	NOUN
ejpam-3619	5	15	and	and	CCONJ
ejpam-3619	5	16	phrases	phrase	NOUN
ejpam-3619	5	17	:	:	PUNCT
ejpam-3619	5	18	advection	advection	NOUN
ejpam-3619	5	19	problem	problem	NOUN
ejpam-3619	5	20	,	,	PUNCT
ejpam-3619	5	21	truncation	truncation	NOUN
ejpam-3619	5	22	error	error	NOUN
ejpam-3619	5	23	,	,	PUNCT
ejpam-3619	5	24	stability	stability	NOUN
ejpam-3619	5	25	,	,	PUNCT
ejpam-3619	5	26	convergence	convergence	NOUN
ejpam-3619	5	27	,	,	PUNCT
ejpam-3619	5	28	laxwendroff	laxwendroff	NOUN
ejpam-3619	5	29	and	and	CCONJ
ejpam-3619	5	30	finite	finite	ADJ
ejpam-3619	5	31	difference	difference	NOUN
ejpam-3619	5	32	methods	method	NOUN
ejpam-3619	5	33	1	1	NUM
ejpam-3619	5	34	.	.	PUNCT
ejpam-3619	6	1	introduction	introduction	NOUN
ejpam-3619	6	2	many	many	ADJ
ejpam-3619	6	3	disciplines	discipline	NOUN
ejpam-3619	6	4	of	of	ADP
ejpam-3619	6	5	physics	physics	NOUN
ejpam-3619	6	6	consist	consist	NOUN
ejpam-3619	6	7	of	of	ADP
ejpam-3619	6	8	describing	describe	VERB
ejpam-3619	6	9	phenomena	phenomenon	NOUN
ejpam-3619	6	10	of	of	ADP
ejpam-3619	6	11	transport	transport	NOUN
ejpam-3619	6	12	,	,	PUNCT
ejpam-3619	6	13	heat	heat	NOUN
ejpam-3619	6	14	and	and	CCONJ
ejpam-3619	6	15	induction	induction	NOUN
ejpam-3619	6	16	.	.	PUNCT
ejpam-3619	7	1	to	to	PART
ejpam-3619	7	2	describe	describe	VERB
ejpam-3619	7	3	such	such	ADJ
ejpam-3619	7	4	phenomena	phenomenon	NOUN
ejpam-3619	7	5	,	,	PUNCT
ejpam-3619	7	6	it	it	PRON
ejpam-3619	7	7	seems	seem	VERB
ejpam-3619	7	8	quite	quite	ADV
ejpam-3619	7	9	natural	natural	ADJ
ejpam-3619	7	10	to	to	PART
ejpam-3619	7	11	describe	describe	VERB
ejpam-3619	7	12	the	the	DET
ejpam-3619	7	13	evolution	evolution	NOUN
ejpam-3619	7	14	of	of	ADP
ejpam-3619	7	15	certain	certain	ADJ
ejpam-3619	7	16	physical	physical	ADJ
ejpam-3619	7	17	quantities	quantity	NOUN
ejpam-3619	7	18	in	in	ADP
ejpam-3619	7	19	time	time	NOUN
ejpam-3619	7	20	as	as	ADV
ejpam-3619	7	21	well	well	ADV
ejpam-3619	7	22	as	as	ADP
ejpam-3619	7	23	in	in	ADP
ejpam-3619	7	24	space	space	NOUN
ejpam-3619	7	25	.	.	PUNCT
ejpam-3619	8	1	since	since	SCONJ
ejpam-3619	8	2	they	they	PRON
ejpam-3619	8	3	involve	involve	VERB
ejpam-3619	8	4	several	several	ADJ
ejpam-3619	8	5	parameters	parameter	NOUN
ejpam-3619	8	6	,	,	PUNCT
ejpam-3619	8	7	the	the	DET
ejpam-3619	8	8	differential	differential	ADJ
ejpam-3619	8	9	equations	equation	NOUN
ejpam-3619	8	10	involve	involve	VERB
ejpam-3619	8	11	partial	partial	ADJ
ejpam-3619	8	12	derivatives	derivative	NOUN
ejpam-3619	8	13	with	with	ADP
ejpam-3619	8	14	respect	respect	NOUN
ejpam-3619	8	15	to	to	ADP
ejpam-3619	8	16	each	each	DET
ejpam-3619	8	17	parameter	parameter	NOUN
ejpam-3619	8	18	.	.	PUNCT
ejpam-3619	9	1	hence	hence	ADV
ejpam-3619	9	2	the	the	DET
ejpam-3619	9	3	term	term	NOUN
ejpam-3619	9	4	”	"	PUNCT
ejpam-3619	9	5	partial	partial	ADJ
ejpam-3619	9	6	differential	differential	NOUN
ejpam-3619	9	7	equations	equation	NOUN
ejpam-3619	9	8	”	"	PUNCT
ejpam-3619	9	9	in	in	ADP
ejpam-3619	9	10	short	short	ADJ
ejpam-3619	9	11	pdes	pde	NOUN
ejpam-3619	9	12	.	.	PUNCT
ejpam-3619	10	1	the	the	DET
ejpam-3619	10	2	pdes	pde	NOUN
ejpam-3619	10	3	are	be	AUX
ejpam-3619	10	4	also	also	ADV
ejpam-3619	10	5	involved	involve	VERB
ejpam-3619	10	6	in	in	ADP
ejpam-3619	10	7	the	the	DET
ejpam-3619	10	8	mathematical	mathematical	ADJ
ejpam-3619	10	9	study	study	NOUN
ejpam-3619	10	10	of	of	ADP
ejpam-3619	10	11	many	many	ADJ
ejpam-3619	10	12	problems	problem	NOUN
ejpam-3619	10	13	encountered	encounter	VERB
ejpam-3619	10	14	in	in	ADP
ejpam-3619	10	15	various	various	ADJ
ejpam-3619	10	16	fields	field	NOUN
ejpam-3619	10	17	of	of	ADP
ejpam-3619	10	18	science	science	NOUN
ejpam-3619	10	19	(	(	PUNCT
ejpam-3619	10	20	mechanics	mechanic	NOUN
ejpam-3619	10	21	,	,	PUNCT
ejpam-3619	10	22	chemistry	chemistry	NOUN
ejpam-3619	10	23	,	,	PUNCT
ejpam-3619	10	24	economics	economic	NOUN
ejpam-3619	10	25	,	,	PUNCT
ejpam-3619	10	26	biology	biology	NOUN
ejpam-3619	10	27	,	,	PUNCT
ejpam-3619	10	28	etc	etc	X
ejpam-3619	10	29	.	.	X
ejpam-3619	10	30	)	)	PUNCT
ejpam-3619	10	31	,	,	PUNCT
ejpam-3619	10	32	as	as	ADV
ejpam-3619	10	33	well	well	ADV
ejpam-3619	10	34	as	as	ADP
ejpam-3619	10	35	in	in	ADP
ejpam-3619	10	36	various	various	ADJ
ejpam-3619	10	37	applied	apply	VERB
ejpam-3619	10	38	fields	field	NOUN
ejpam-3619	10	39	,	,	PUNCT
ejpam-3619	10	40	or	or	CCONJ
ejpam-3619	10	41	even	even	ADV
ejpam-3619	10	42	advanced	advanced	ADJ
ejpam-3619	10	43	industrial	industrial	ADJ
ejpam-3619	10	44	,	,	PUNCT
ejpam-3619	10	45	mainly	mainly	ADV
ejpam-3619	10	46	in	in	ADP
ejpam-3619	10	47	engineering	engineering	NOUN
ejpam-3619	10	48	and	and	CCONJ
ejpam-3619	10	49	oil	oil	NOUN
ejpam-3619	10	50	industry	industry	NOUN
ejpam-3619	10	51	.	.	PUNCT
ejpam-3619	11	1	a	a	DET
ejpam-3619	11	2	pde	pde	NOUN
ejpam-3619	11	3	in	in	ADP
ejpam-3619	11	4	itself	itself	PRON
ejpam-3619	11	5	does	do	AUX
ejpam-3619	11	6	not	not	PART
ejpam-3619	11	7	have	have	VERB
ejpam-3619	11	8	a	a	DET
ejpam-3619	11	9	pure	pure	ADJ
ejpam-3619	11	10	solution	solution	NOUN
ejpam-3619	11	11	,	,	PUNCT
ejpam-3619	11	12	because	because	SCONJ
ejpam-3619	11	13	in	in	ADP
ejpam-3619	11	14	general	general	ADJ
ejpam-3619	11	15	it	it	PRON
ejpam-3619	11	16	is	be	AUX
ejpam-3619	11	17	difficult	difficult	ADJ
ejpam-3619	11	18	to	to	PART
ejpam-3619	11	19	find	find	VERB
ejpam-3619	11	20	a	a	DET
ejpam-3619	11	21	solution	solution	NOUN
ejpam-3619	11	22	u	u	NOUN
ejpam-3619	11	23	to	to	ADP
ejpam-3619	11	24	it	it	PRON
ejpam-3619	11	25	in	in	ADP
ejpam-3619	11	26	a	a	DET
ejpam-3619	11	27	unique	unique	ADJ
ejpam-3619	11	28	way	way	NOUN
ejpam-3619	11	29	with	with	ADP
ejpam-3619	11	30	no	no	DET
ejpam-3619	11	31	limit	limit	NOUN
ejpam-3619	11	32	condition	condition	NOUN
ejpam-3619	12	1	[	[	X
ejpam-3619	12	2	1–3	1–3	NOUN
ejpam-3619	12	3	,	,	PUNCT
ejpam-3619	12	4	5	5	NUM
ejpam-3619	12	5	,	,	PUNCT
ejpam-3619	12	6	8	8	NUM
ejpam-3619	12	7	,	,	PUNCT
ejpam-3619	12	8	11	11	NUM
ejpam-3619	12	9	]	]	PUNCT
ejpam-3619	12	10	.	.	PUNCT
ejpam-3619	13	1	after	after	ADP
ejpam-3619	13	2	modeling	model	VERB
ejpam-3619	13	3	a	a	DET
ejpam-3619	13	4	physical	physical	ADJ
ejpam-3619	13	5	problem	problem	NOUN
ejpam-3619	13	6	(	(	PUNCT
ejpam-3619	13	7	a	a	DET
ejpam-3619	13	8	visible	visible	ADJ
ejpam-3619	13	9	problem	problem	NOUN
ejpam-3619	13	10	)	)	PUNCT
ejpam-3619	13	11	we	we	PRON
ejpam-3619	13	12	get	get	VERB
ejpam-3619	13	13	an	an	DET
ejpam-3619	13	14	invisible	invisible	ADJ
ejpam-3619	13	15	problem	problem	NOUN
ejpam-3619	13	16	(	(	PUNCT
ejpam-3619	13	17	a	a	DET
ejpam-3619	13	18	mathematical	mathematical	ADJ
ejpam-3619	13	19	equation	equation	NOUN
ejpam-3619	13	20	:	:	PUNCT
ejpam-3619	13	21	partial	partial	ADJ
ejpam-3619	13	22	differential	differential	ADJ
ejpam-3619	13	23	equations	equation	NOUN
ejpam-3619	13	24	for	for	ADP
ejpam-3619	13	25	example	example	NOUN
ejpam-3619	13	26	)	)	PUNCT
ejpam-3619	13	27	,	,	PUNCT
ejpam-3619	13	28	but	but	CCONJ
ejpam-3619	13	29	pdes	pde	NOUN
ejpam-3619	13	30	are	be	AUX
ejpam-3619	13	31	usually	usually	ADV
ejpam-3619	13	32	very	very	ADV
ejpam-3619	13	33	complex	complex	ADJ
ejpam-3619	13	34	to	to	PART
ejpam-3619	13	35	solve	solve	VERB
ejpam-3619	13	36	,	,	PUNCT
ejpam-3619	13	37	or	or	CCONJ
ejpam-3619	13	38	they	they	PRON
ejpam-3619	13	39	have	have	VERB
ejpam-3619	13	40	solutions	solution	NOUN
ejpam-3619	13	41	for	for	ADP
ejpam-3619	13	42	particular	particular	ADJ
ejpam-3619	13	43	cases	case	NOUN
ejpam-3619	13	44	,	,	PUNCT
ejpam-3619	13	45	but	but	CCONJ
ejpam-3619	13	46	also	also	ADV
ejpam-3619	13	47	the	the	DET
ejpam-3619	13	48	random	random	ADJ
ejpam-3619	13	49	phenomena	phenomenon	NOUN
ejpam-3619	13	50	of	of	ADP
ejpam-3619	13	51	nature	nature	NOUN
ejpam-3619	13	52	lead	lead	VERB
ejpam-3619	13	53	to	to	ADP
ejpam-3619	13	54	nonlinear	nonlinear	ADJ
ejpam-3619	13	55	equations	equation	NOUN
ejpam-3619	13	56	which	which	PRON
ejpam-3619	13	57	gives	give	VERB
ejpam-3619	13	58	a	a	DET
ejpam-3619	13	59	complexity	complexity	NOUN
ejpam-3619	13	60	to	to	ADP
ejpam-3619	13	61	the	the	DET
ejpam-3619	13	62	mathematical	mathematical	ADJ
ejpam-3619	13	63	model	model	NOUN
ejpam-3619	13	64	studied	study	VERB
ejpam-3619	13	65	.	.	PUNCT
ejpam-3619	14	1	the	the	DET
ejpam-3619	14	2	principle	principle	NOUN
ejpam-3619	14	3	of	of	ADP
ejpam-3619	14	4	solving	solve	VERB
ejpam-3619	14	5	partial	partial	ADJ
ejpam-3619	14	6	differential	differential	NOUN
ejpam-3619	14	7	equations	equation	NOUN
ejpam-3619	14	8	is	be	AUX
ejpam-3619	14	9	to	to	PART
ejpam-3619	14	10	replace	replace	VERB
ejpam-3619	14	11	a	a	DET
ejpam-3619	14	12	complex	complex	ADJ
ejpam-3619	14	13	system	system	NOUN
ejpam-3619	14	14	into	into	ADP
ejpam-3619	14	15	a	a	DET
ejpam-3619	14	16	simple	simple	ADJ
ejpam-3619	14	17	object	object	NOUN
ejpam-3619	14	18	or	or	CCONJ
ejpam-3619	14	19	operator	operator	NOUN
ejpam-3619	14	20	by	by	ADP
ejpam-3619	14	21	leaving	leave	VERB
ejpam-3619	14	22	the	the	DET
ejpam-3619	14	23	main	main	ADJ
ejpam-3619	14	24	aspects	aspect	NOUN
ejpam-3619	14	25	of	of	ADP
ejpam-3619	14	26	the	the	DET
ejpam-3619	14	27	original	original	NOUN
ejpam-3619	14	28	,	,	PUNCT
ejpam-3619	14	29	which	which	PRON
ejpam-3619	14	30	is	be	AUX
ejpam-3619	14	31	called	call	VERB
ejpam-3619	14	32	∗corresponding	∗corresponde	VERB
ejpam-3619	14	33	author	author	NOUN
ejpam-3619	14	34	.	.	PUNCT
ejpam-3619	15	1	doi	doi	NOUN
ejpam-3619	15	2	:	:	PUNCT
ejpam-3619	15	3	https://doi.org/10.29020/nybg.ejpam.v13i1.3619	https://doi.org/10.29020/nybg.ejpam.v13i1.3619	NUM
ejpam-3619	15	4	email	email	NOUN
ejpam-3619	15	5	addresses	address	NOUN
ejpam-3619	15	6	:	:	PUNCT
ejpam-3619	15	7	diogene.ponguingoma@umng.cg	diogene.ponguingoma@umng.cg	PROPN
ejpam-3619	15	8	(	(	PUNCT
ejpam-3619	15	9	d.v	d.v	PROPN
ejpam-3619	15	10	.	.	PROPN
ejpam-3619	15	11	pongui	pongui	PROPN
ejpam-3619	15	12	ngoma	ngoma	PROPN
ejpam-3619	15	13	)	)	PUNCT
ejpam-3619	15	14	,	,	PUNCT
ejpam-3619	15	15	germain.nguimbi@umng.cg	germain.nguimbi@umng.cg	NOUN
ejpam-3619	15	16	(	(	PUNCT
ejpam-3619	15	17	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	15	18	)	)	PUNCT
ejpam-3619	15	19	,	,	PUNCT
ejpam-3619	16	1	vitalm28@gmail.com	vitalm28@gmail.com	X
ejpam-3619	16	2	(	(	PUNCT
ejpam-3619	16	3	v.	v.	ADP
ejpam-3619	16	4	d.	d.	PROPN
ejpam-3619	16	5	mabonzo	mabonzo	PROPN
ejpam-3619	16	6	)	)	PUNCT
ejpam-3619	16	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3619	17	1	144	144	NUM
ejpam-3619	18	1	c	c	X
ejpam-3619	18	2	©	©	NOUN
ejpam-3619	18	3	2020	2020	NUM
ejpam-3619	18	4	ejpam	ejpam	VERB
ejpam-3619	18	5	all	all	DET
ejpam-3619	18	6	rights	right	NOUN
ejpam-3619	18	7	reserved	reserve	VERB
ejpam-3619	18	8	.	.	PUNCT
ejpam-3619	19	1	d.v	d.v	PROPN
ejpam-3619	19	2	.	.	PROPN
ejpam-3619	19	3	pongui	pongui	PROPN
ejpam-3619	19	4	ngoma	ngoma	PROPN
ejpam-3619	19	5	,	,	PUNCT
ejpam-3619	19	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	19	7	,	,	PUNCT
ejpam-3619	19	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	19	9	,	,	PUNCT
ejpam-3619	19	10	n.	n.	PROPN
ejpam-3619	19	11	batangouna	batangouna	PROPN
ejpam-3619	19	12	/	/	SYM
ejpam-3619	19	13	eur	eur	PROPN
ejpam-3619	19	14	.	.	PUNCT
ejpam-3619	20	1	j.	j.	PROPN
ejpam-3619	20	2	pure	pure	PROPN
ejpam-3619	20	3	appl	appl	PROPN
ejpam-3619	20	4	.	.	PROPN
ejpam-3619	20	5	math	math	PROPN
ejpam-3619	20	6	,	,	PUNCT
ejpam-3619	20	7	13	13	NUM
ejpam-3619	20	8	(	(	PUNCT
ejpam-3619	20	9	1	1	NUM
ejpam-3619	20	10	)	)	PUNCT
ejpam-3619	20	11	(	(	PUNCT
ejpam-3619	20	12	2020	2020	NUM
ejpam-3619	20	13	)	)	PUNCT
ejpam-3619	20	14	,	,	PUNCT
ejpam-3619	20	15	144	144	NUM
ejpam-3619	20	16	-	-	SYM
ejpam-3619	20	17	157	157	NUM
ejpam-3619	20	18	145	145	NUM
ejpam-3619	20	19	a	a	DET
ejpam-3619	20	20	numerical	numerical	ADJ
ejpam-3619	20	21	resolution	resolution	NOUN
ejpam-3619	20	22	.	.	PUNCT
ejpam-3619	21	1	we	we	PRON
ejpam-3619	21	2	want	want	VERB
ejpam-3619	21	3	to	to	PART
ejpam-3619	21	4	solve	solve	VERB
ejpam-3619	21	5	the	the	DET
ejpam-3619	21	6	advection	advection	NOUN
ejpam-3619	21	7	problem	problem	NOUN
ejpam-3619	21	8	of	of	ADP
ejpam-3619	21	9	order	order	NOUN
ejpam-3619	21	10	one	one	NUM
ejpam-3619	21	11	in	in	ADP
ejpam-3619	21	12	time	time	NOUN
ejpam-3619	21	13	and	and	CCONJ
ejpam-3619	21	14	space	space	NOUN
ejpam-3619	21	15	(	(	PUNCT
ejpam-3619	21	16	1	1	NUM
ejpam-3619	21	17	)	)	PUNCT
ejpam-3619	21	18	of	of	ADP
ejpam-3619	21	19	solution	solution	NOUN
ejpam-3619	21	20	u	u	X
ejpam-3619	21	21	=	=	SYM
ejpam-3619	21	22	u(x	u(x	PROPN
ejpam-3619	21	23	,	,	PUNCT
ejpam-3619	21	24	t	t	PROPN
ejpam-3619	21	25	)	)	PUNCT
ejpam-3619	21	26	by	by	ADP
ejpam-3619	21	27	finite	finite	ADJ
ejpam-3619	21	28	difference	difference	NOUN
ejpam-3619	21	29	and	and	CCONJ
ejpam-3619	21	30	lax	lax	ADJ
ejpam-3619	21	31	-	-	PUNCT
ejpam-3619	21	32	wendroff	wendroff	NOUN
ejpam-3619	21	33	methods	method	NOUN
ejpam-3619	21	34	[	[	X
ejpam-3619	21	35	4–6	4–6	NOUN
ejpam-3619	21	36	,	,	PUNCT
ejpam-3619	21	37	9	9	NUM
ejpam-3619	21	38	,	,	PUNCT
ejpam-3619	21	39	10	10	NUM
ejpam-3619	21	40	]	]	PUNCT
ejpam-3619	21	41	.	.	PUNCT
ejpam-3619	22	1	∂u	∂u	PROPN
ejpam-3619	23	1	∂t	∂t	PROPN
ejpam-3619	23	2	+	+	CCONJ
ejpam-3619	23	3	α	α	NOUN
ejpam-3619	23	4	∂u	∂u	NOUN
ejpam-3619	23	5	∂x	∂x	NOUN
ejpam-3619	23	6	=	=	SYM
ejpam-3619	23	7	0	0	NUM
ejpam-3619	23	8	,	,	PUNCT
ejpam-3619	23	9	(	(	PUNCT
ejpam-3619	23	10	1	1	X
ejpam-3619	23	11	)	)	PUNCT
ejpam-3619	23	12	where	where	SCONJ
ejpam-3619	23	13	α	α	NOUN
ejpam-3619	23	14	is	be	AUX
ejpam-3619	23	15	the	the	DET
ejpam-3619	23	16	advection	advection	NOUN
ejpam-3619	23	17	coefficient	coefficient	NOUN
ejpam-3619	23	18	,	,	PUNCT
ejpam-3619	23	19	subject	subject	ADJ
ejpam-3619	23	20	to	to	ADP
ejpam-3619	23	21	the	the	DET
ejpam-3619	23	22	homogeneous	homogeneous	ADJ
ejpam-3619	23	23	dirichlet	dirichlet	PROPN
ejpam-3619	23	24	conditions	condition	NOUN
ejpam-3619	23	25	u(0	u(0	PROPN
ejpam-3619	23	26	,	,	PUNCT
ejpam-3619	23	27	t	t	PROPN
ejpam-3619	23	28	)	)	PUNCT
ejpam-3619	24	1	=	=	SYM
ejpam-3619	24	2	u(1	u(1	PROPN
ejpam-3619	24	3	,	,	PUNCT
ejpam-3619	24	4	t	t	PROPN
ejpam-3619	24	5	)	)	PUNCT
ejpam-3619	24	6	=	=	SYM
ejpam-3619	24	7	0	0	NUM
ejpam-3619	24	8	,	,	PUNCT
ejpam-3619	24	9	going	go	VERB
ejpam-3619	24	10	from	from	ADP
ejpam-3619	24	11	the	the	DET
ejpam-3619	24	12	initial	initial	ADJ
ejpam-3619	24	13	solution	solution	NOUN
ejpam-3619	24	14	u(x	u(x	NOUN
ejpam-3619	24	15	,	,	PUNCT
ejpam-3619	24	16	0	0	NUM
ejpam-3619	24	17	)	)	PUNCT
ejpam-3619	24	18	=	=	SYM
ejpam-3619	24	19	u0(x	u0(x	NOUN
ejpam-3619	24	20	)	)	PUNCT
ejpam-3619	24	21	=	=	SYM
ejpam-3619	24	22	sin(19πx	sin(19πx	NOUN
ejpam-3619	24	23	)	)	PUNCT
ejpam-3619	24	24	.	.	PUNCT
ejpam-3619	25	1	these	these	DET
ejpam-3619	25	2	methods	method	NOUN
ejpam-3619	25	3	will	will	AUX
ejpam-3619	25	4	have	have	VERB
ejpam-3619	25	5	to	to	PART
ejpam-3619	25	6	calculate	calculate	VERB
ejpam-3619	25	7	the	the	DET
ejpam-3619	25	8	solution	solution	NOUN
ejpam-3619	25	9	u	u	NOUN
ejpam-3619	25	10	of	of	ADP
ejpam-3619	25	11	the	the	DET
ejpam-3619	25	12	problem	problem	NOUN
ejpam-3619	25	13	for	for	ADP
ejpam-3619	25	14	different	different	ADJ
ejpam-3619	25	15	steps	step	NOUN
ejpam-3619	25	16	in	in	ADP
ejpam-3619	25	17	space	space	NOUN
ejpam-3619	25	18	and	and	CCONJ
ejpam-3619	25	19	time	time	NOUN
ejpam-3619	25	20	in	in	ADP
ejpam-3619	25	21	order	order	NOUN
ejpam-3619	25	22	to	to	PART
ejpam-3619	25	23	represent	represent	VERB
ejpam-3619	25	24	on	on	ADP
ejpam-3619	25	25	the	the	DET
ejpam-3619	25	26	same	same	ADJ
ejpam-3619	25	27	graph	graph	NOUN
ejpam-3619	25	28	the	the	DET
ejpam-3619	25	29	numerical	numerical	ADJ
ejpam-3619	25	30	solutions	solution	NOUN
ejpam-3619	25	31	of	of	ADP
ejpam-3619	25	32	the	the	DET
ejpam-3619	25	33	finite	finite	ADJ
ejpam-3619	25	34	difference	difference	NOUN
ejpam-3619	25	35	and	and	CCONJ
ejpam-3619	25	36	lax	lax	ADJ
ejpam-3619	25	37	-	-	PUNCT
ejpam-3619	25	38	wendroff	wendroff	NOUN
ejpam-3619	25	39	methods	method	NOUN
ejpam-3619	25	40	for	for	ADP
ejpam-3619	25	41	the	the	DET
ejpam-3619	25	42	equation	equation	NOUN
ejpam-3619	25	43	(	(	PUNCT
ejpam-3619	25	44	1	1	NUM
ejpam-3619	25	45	)	)	PUNCT
ejpam-3619	25	46	,	,	PUNCT
ejpam-3619	25	47	we	we	PRON
ejpam-3619	25	48	will	will	AUX
ejpam-3619	25	49	study	study	VERB
ejpam-3619	25	50	the	the	DET
ejpam-3619	25	51	analytical	analytical	ADJ
ejpam-3619	25	52	stability	stability	NOUN
ejpam-3619	25	53	in	in	ADP
ejpam-3619	25	54	l2([0	l2([0	PROPN
ejpam-3619	25	55	,	,	PUNCT
ejpam-3619	25	56	1	1	NUM
ejpam-3619	25	57	]	]	PUNCT
ejpam-3619	25	58	)	)	PUNCT
ejpam-3619	25	59	and	and	CCONJ
ejpam-3619	25	60	l∞([0	l∞([0	PROPN
ejpam-3619	25	61	,	,	PUNCT
ejpam-3619	25	62	1	1	NUM
ejpam-3619	25	63	]	]	PUNCT
ejpam-3619	25	64	)	)	PUNCT
ejpam-3619	25	65	of	of	ADP
ejpam-3619	25	66	finite	finite	ADJ
ejpam-3619	25	67	difference	difference	NOUN
ejpam-3619	25	68	and	and	CCONJ
ejpam-3619	25	69	lax	lax	ADJ
ejpam-3619	25	70	-	-	PUNCT
ejpam-3619	25	71	wendroff	wendroff	NOUN
ejpam-3619	25	72	methods	method	NOUN
ejpam-3619	25	73	for	for	ADP
ejpam-3619	25	74	the	the	DET
ejpam-3619	25	75	advection	advection	NOUN
ejpam-3619	25	76	equation	equation	NOUN
ejpam-3619	25	77	,	,	PUNCT
ejpam-3619	25	78	then	then	ADV
ejpam-3619	25	79	we	we	PRON
ejpam-3619	25	80	will	will	AUX
ejpam-3619	25	81	calculate	calculate	VERB
ejpam-3619	25	82	the	the	DET
ejpam-3619	25	83	truncation	truncation	NOUN
ejpam-3619	25	84	error	error	NOUN
ejpam-3619	25	85	of	of	ADP
ejpam-3619	25	86	these	these	DET
ejpam-3619	25	87	methods	method	NOUN
ejpam-3619	25	88	.	.	PUNCT
ejpam-3619	26	1	we	we	PRON
ejpam-3619	26	2	will	will	AUX
ejpam-3619	26	3	study	study	VERB
ejpam-3619	26	4	the	the	DET
ejpam-3619	26	5	analytical	analytical	ADJ
ejpam-3619	26	6	convergence	convergence	NOUN
ejpam-3619	26	7	of	of	ADP
ejpam-3619	26	8	each	each	PRON
ejpam-3619	26	9	of	of	ADP
ejpam-3619	26	10	these	these	DET
ejpam-3619	26	11	methods	method	NOUN
ejpam-3619	26	12	.	.	PUNCT
ejpam-3619	27	1	all	all	DET
ejpam-3619	27	2	these	these	DET
ejpam-3619	27	3	numerical	numerical	ADJ
ejpam-3619	27	4	methods	method	NOUN
ejpam-3619	27	5	will	will	AUX
ejpam-3619	27	6	be	be	AUX
ejpam-3619	27	7	implemented	implement	VERB
ejpam-3619	27	8	with	with	ADP
ejpam-3619	27	9	the	the	DET
ejpam-3619	27	10	scilab	scilab	PROPN
ejpam-3619	27	11	software	software	NOUN
ejpam-3619	27	12	.	.	PUNCT
ejpam-3619	28	1	2	2	X
ejpam-3619	28	2	.	.	X
ejpam-3619	28	3	advection	advection	NOUN
ejpam-3619	28	4	problem	problem	NOUN
ejpam-3619	28	5	the	the	DET
ejpam-3619	28	6	advection	advection	NOUN
ejpam-3619	28	7	or	or	CCONJ
ejpam-3619	28	8	linear	linear	ADJ
ejpam-3619	28	9	transport	transport	NOUN
ejpam-3619	28	10	equation	equation	NOUN
ejpam-3619	28	11	is	be	AUX
ejpam-3619	28	12	a	a	DET
ejpam-3619	28	13	hyperbolic	hyperbolic	ADJ
ejpam-3619	28	14	pde	pde	NOUN
ejpam-3619	28	15	,	,	PUNCT
ejpam-3619	28	16	it	it	PRON
ejpam-3619	28	17	is	be	AUX
ejpam-3619	28	18	the	the	DET
ejpam-3619	28	19	simplest	simple	ADJ
ejpam-3619	28	20	one	one	NOUN
ejpam-3619	28	21	and	and	CCONJ
ejpam-3619	28	22	consists	consist	VERB
ejpam-3619	28	23	in	in	ADP
ejpam-3619	28	24	finding	find	VERB
ejpam-3619	28	25	the	the	DET
ejpam-3619	28	26	solution	solution	NOUN
ejpam-3619	28	27	u	u	NOUN
ejpam-3619	28	28	=	=	SYM
ejpam-3619	28	29	u(x	u(x	PROPN
ejpam-3619	28	30	,	,	PUNCT
ejpam-3619	28	31	t	t	NOUN
ejpam-3619	28	32	)	)	PUNCT
ejpam-3619	28	33	∈	∈	PROPN
ejpam-3619	28	34	r	r	NOUN
ejpam-3619	28	35	such	such	ADJ
ejpam-3619	28	36	that	that	SCONJ
ejpam-3619	28	37	[	[	X
ejpam-3619	28	38	8	8	NUM
ejpam-3619	28	39	]	]	X
ejpam-3619	28	40	∂u	∂u	PROPN
ejpam-3619	28	41	∂t	∂t	PROPN
ejpam-3619	28	42	+	+	CCONJ
ejpam-3619	28	43	α	α	NOUN
ejpam-3619	28	44	∂u	∂u	NOUN
ejpam-3619	28	45	∂x	∂x	NOUN
ejpam-3619	28	46	=	=	SYM
ejpam-3619	28	47	0	0	NUM
ejpam-3619	28	48	,	,	PUNCT
ejpam-3619	28	49	(	(	PUNCT
ejpam-3619	28	50	2	2	X
ejpam-3619	28	51	)	)	PUNCT
ejpam-3619	28	52	where	where	SCONJ
ejpam-3619	28	53	α	α	PROPN
ejpam-3619	28	54	>	>	X
ejpam-3619	28	55	0	0	NUM
ejpam-3619	28	56	is	be	AUX
ejpam-3619	28	57	the	the	DET
ejpam-3619	28	58	advection	advection	NOUN
ejpam-3619	28	59	coefficient	coefficient	NOUN
ejpam-3619	28	60	.	.	PUNCT
ejpam-3619	29	1	for	for	ADP
ejpam-3619	29	2	the	the	DET
ejpam-3619	29	3	purpose	purpose	NOUN
ejpam-3619	29	4	of	of	ADP
ejpam-3619	29	5	the	the	DET
ejpam-3619	29	6	resolution	resolution	NOUN
ejpam-3619	29	7	we	we	PRON
ejpam-3619	29	8	will	will	AUX
ejpam-3619	29	9	consider	consider	VERB
ejpam-3619	29	10	the	the	DET
ejpam-3619	29	11	homogeneous	homogeneous	ADJ
ejpam-3619	29	12	dirichlet	dirichlet	PROPN
ejpam-3619	29	13	boundary	boundary	PROPN
ejpam-3619	29	14	conditions	condition	NOUN
ejpam-3619	29	15	u(0	u(0	PROPN
ejpam-3619	29	16	,	,	PUNCT
ejpam-3619	29	17	t	t	PROPN
ejpam-3619	29	18	)	)	PUNCT
ejpam-3619	29	19	=	=	SYM
ejpam-3619	30	1	u(1	u(1	PROPN
ejpam-3619	30	2	,	,	PUNCT
ejpam-3619	30	3	t	t	PROPN
ejpam-3619	30	4	)	)	PUNCT
ejpam-3619	30	5	=	=	SYM
ejpam-3619	30	6	0	0	PROPN
ejpam-3619	30	7	.	.	PUNCT
ejpam-3619	31	1	and	and	CCONJ
ejpam-3619	31	2	the	the	DET
ejpam-3619	31	3	solution	solution	NOUN
ejpam-3619	31	4	is	be	AUX
ejpam-3619	31	5	initiated	initiate	VERB
ejpam-3619	31	6	from	from	ADP
ejpam-3619	31	7	u(x	u(x	NOUN
ejpam-3619	31	8	,	,	PUNCT
ejpam-3619	31	9	0	0	NUM
ejpam-3619	31	10	)	)	PUNCT
ejpam-3619	31	11	=	=	SYM
ejpam-3619	32	1	u0(x	u0(x	NOUN
ejpam-3619	32	2	)	)	PUNCT
ejpam-3619	32	3	=	=	SYM
ejpam-3619	32	4	sin(19πx	sin(19πx	NOUN
ejpam-3619	32	5	)	)	PUNCT
ejpam-3619	32	6	.	.	PUNCT
ejpam-3619	33	1	3	3	X
ejpam-3619	33	2	.	.	X
ejpam-3619	33	3	numerical	numerical	ADJ
ejpam-3619	33	4	resolution	resolution	NOUN
ejpam-3619	33	5	of	of	ADP
ejpam-3619	33	6	advection	advection	NOUN
ejpam-3619	33	7	problem	problem	NOUN
ejpam-3619	33	8	in	in	ADP
ejpam-3619	33	9	this	this	DET
ejpam-3619	33	10	section	section	NOUN
ejpam-3619	33	11	,	,	PUNCT
ejpam-3619	33	12	we	we	PRON
ejpam-3619	33	13	will	will	AUX
ejpam-3619	33	14	calculate	calculate	VERB
ejpam-3619	33	15	the	the	DET
ejpam-3619	33	16	solution	solution	NOUN
ejpam-3619	33	17	of	of	ADP
ejpam-3619	33	18	the	the	DET
ejpam-3619	33	19	advection	advection	NOUN
ejpam-3619	33	20	model	model	NOUN
ejpam-3619	33	21	by	by	ADP
ejpam-3619	33	22	using	use	VERB
ejpam-3619	33	23	two	two	NUM
ejpam-3619	33	24	numerical	numerical	ADJ
ejpam-3619	33	25	methods	method	NOUN
ejpam-3619	33	26	including	include	VERB
ejpam-3619	33	27	the	the	DET
ejpam-3619	33	28	finite	finite	ADJ
ejpam-3619	33	29	difference	difference	NOUN
ejpam-3619	33	30	method	method	NOUN
ejpam-3619	33	31	and	and	CCONJ
ejpam-3619	33	32	that	that	PRON
ejpam-3619	33	33	of	of	ADP
ejpam-3619	33	34	lax	lax	NOUN
ejpam-3619	33	35	-	-	PUNCT
ejpam-3619	33	36	wendroff	wendroff	NOUN
ejpam-3619	33	37	.	.	PUNCT
ejpam-3619	34	1	3.1	3.1	NUM
ejpam-3619	34	2	.	.	PUNCT
ejpam-3619	34	3	resolution	resolution	NOUN
ejpam-3619	34	4	by	by	ADP
ejpam-3619	34	5	the	the	DET
ejpam-3619	34	6	finite	finite	ADJ
ejpam-3619	34	7	difference	difference	NOUN
ejpam-3619	34	8	method	method	NOUN
ejpam-3619	34	9	we	we	PRON
ejpam-3619	34	10	shall	shall	AUX
ejpam-3619	34	11	now	now	ADV
ejpam-3619	34	12	calculate	calculate	VERB
ejpam-3619	34	13	the	the	DET
ejpam-3619	34	14	solution	solution	NOUN
ejpam-3619	34	15	u(x	u(x	NOUN
ejpam-3619	34	16	,	,	PUNCT
ejpam-3619	34	17	t	t	PROPN
ejpam-3619	34	18	)	)	PUNCT
ejpam-3619	34	19	of	of	ADP
ejpam-3619	34	20	the	the	DET
ejpam-3619	34	21	advection	advection	NOUN
ejpam-3619	34	22	problem	problem	NOUN
ejpam-3619	34	23	for	for	ADP
ejpam-3619	34	24	different	different	ADJ
ejpam-3619	34	25	steps	step	NOUN
ejpam-3619	34	26	in	in	ADP
ejpam-3619	34	27	space	space	NOUN
ejpam-3619	34	28	and	and	CCONJ
ejpam-3619	34	29	time	time	NOUN
ejpam-3619	34	30	.	.	PUNCT
ejpam-3619	35	1	for	for	ADP
ejpam-3619	35	2	this	this	DET
ejpam-3619	35	3	purpose	purpose	NOUN
ejpam-3619	35	4	,	,	PUNCT
ejpam-3619	35	5	the	the	DET
ejpam-3619	35	6	finite	finite	ADJ
ejpam-3619	35	7	difference	difference	NOUN
ejpam-3619	35	8	scheme	scheme	NOUN
ejpam-3619	35	9	of	of	ADP
ejpam-3619	35	10	the	the	DET
ejpam-3619	35	11	advection	advection	NOUN
ejpam-3619	35	12	problem	problem	NOUN
ejpam-3619	35	13	is	be	AUX
ejpam-3619	35	14	written	write	VERB
ejpam-3619	35	15	:	:	PUNCT
ejpam-3619	36	1	un+1	un+1	PROPN
ejpam-3619	36	2	j	j	PROPN
ejpam-3619	36	3	−	−	PROPN
ejpam-3619	36	4	unj	unj	PROPN
ejpam-3619	36	5	∆t	∆t	PROPN
ejpam-3619	37	1	+	+	PROPN
ejpam-3619	38	1	α	α	PROPN
ejpam-3619	38	2	unj	unj	NOUN
ejpam-3619	38	3	−	−	PROPN
ejpam-3619	38	4	unj−1	unj−1	PROPN
ejpam-3619	38	5	∆x	∆x	PROPN
ejpam-3619	38	6	=	=	SYM
ejpam-3619	38	7	0	0	PROPN
ejpam-3619	38	8	,	,	PUNCT
ejpam-3619	38	9	j	j	PROPN
ejpam-3619	38	10	∈	∈	PROPN
ejpam-3619	38	11	z	z	PROPN
ejpam-3619	38	12	,	,	PUNCT
ejpam-3619	38	13	n	n	PROPN
ejpam-3619	38	14	>	>	X
ejpam-3619	38	15	0	0	NUM
ejpam-3619	38	16	,	,	PUNCT
ejpam-3619	38	17	(	(	PUNCT
ejpam-3619	38	18	3	3	X
ejpam-3619	38	19	)	)	PUNCT
ejpam-3619	38	20	d.v	d.v	PROPN
ejpam-3619	38	21	.	.	PROPN
ejpam-3619	38	22	pongui	pongui	PROPN
ejpam-3619	38	23	ngoma	ngoma	PROPN
ejpam-3619	38	24	,	,	PUNCT
ejpam-3619	38	25	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	38	26	,	,	PUNCT
ejpam-3619	38	27	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	38	28	,	,	PUNCT
ejpam-3619	38	29	n.	n.	PROPN
ejpam-3619	38	30	batangouna	batangouna	PROPN
ejpam-3619	38	31	/	/	SYM
ejpam-3619	38	32	eur	eur	PROPN
ejpam-3619	38	33	.	.	PUNCT
ejpam-3619	39	1	j.	j.	PROPN
ejpam-3619	39	2	pure	pure	PROPN
ejpam-3619	39	3	appl	appl	PROPN
ejpam-3619	39	4	.	.	PROPN
ejpam-3619	39	5	math	math	PROPN
ejpam-3619	39	6	,	,	PUNCT
ejpam-3619	39	7	13	13	NUM
ejpam-3619	39	8	(	(	PUNCT
ejpam-3619	39	9	1	1	NUM
ejpam-3619	39	10	)	)	PUNCT
ejpam-3619	39	11	(	(	PUNCT
ejpam-3619	39	12	2020	2020	NUM
ejpam-3619	39	13	)	)	PUNCT
ejpam-3619	39	14	,	,	PUNCT
ejpam-3619	39	15	144	144	NUM
ejpam-3619	39	16	-	-	SYM
ejpam-3619	39	17	157	157	NUM
ejpam-3619	39	18	146	146	NUM
ejpam-3619	39	19	and	and	CCONJ
ejpam-3619	39	20	in	in	ADP
ejpam-3619	39	21	the	the	DET
ejpam-3619	39	22	form	form	NOUN
ejpam-3619	39	23	of	of	ADP
ejpam-3619	39	24	recurrence	recurrence	NOUN
ejpam-3619	39	25	un+1	un+1	PROPN
ejpam-3619	39	26	j	j	PROPN
ejpam-3619	40	1	=	=	PUNCT
ejpam-3619	40	2	βunj−1	βunj−1	PROPN
ejpam-3619	40	3	+	+	CCONJ
ejpam-3619	40	4	(	(	PUNCT
ejpam-3619	40	5	1−	1−	NUM
ejpam-3619	40	6	β)unj	β)unj	NOUN
ejpam-3619	40	7	,	,	PUNCT
ejpam-3619	40	8	with	with	ADP
ejpam-3619	40	9	β	β	X
ejpam-3619	40	10	=	=	SYM
ejpam-3619	40	11	α	α	PROPN
ejpam-3619	40	12	∆t	∆t	PROPN
ejpam-3619	40	13	∆x	∆x	PROPN
ejpam-3619	40	14	(	(	PUNCT
ejpam-3619	40	15	4	4	NUM
ejpam-3619	40	16	)	)	PUNCT
ejpam-3619	40	17	the	the	DET
ejpam-3619	40	18	homogeneous	homogeneous	ADJ
ejpam-3619	40	19	dirichlet	dirichlet	PROPN
ejpam-3619	40	20	boundary	boundary	PROPN
ejpam-3619	40	21	conditions	condition	NOUN
ejpam-3619	40	22	are	be	AUX
ejpam-3619	40	23	u(0	u(0	PROPN
ejpam-3619	40	24	,	,	PUNCT
ejpam-3619	40	25	t	t	PROPN
ejpam-3619	40	26	)	)	PUNCT
ejpam-3619	40	27	'	'	PART
ejpam-3619	40	28	u(x0	u(x0	NOUN
ejpam-3619	40	29	,	,	PUNCT
ejpam-3619	40	30	tn	tn	PROPN
ejpam-3619	40	31	)	)	PUNCT
ejpam-3619	41	1	=	=	SYM
ejpam-3619	41	2	un0	un0	NOUN
ejpam-3619	41	3	=	=	SYM
ejpam-3619	41	4	0	0	NUM
ejpam-3619	41	5	,	,	PUNCT
ejpam-3619	41	6	u(1	u(1	PROPN
ejpam-3619	41	7	,	,	PUNCT
ejpam-3619	41	8	t	t	PROPN
ejpam-3619	41	9	)	)	PUNCT
ejpam-3619	41	10	'	'	PUNCT
ejpam-3619	41	11	u(xn+1	u(xn+1	PROPN
ejpam-3619	41	12	,	,	PUNCT
ejpam-3619	41	13	tn	tn	PROPN
ejpam-3619	41	14	)	)	PUNCT
ejpam-3619	41	15	=	=	SYM
ejpam-3619	41	16	unn+1	unn+1	NOUN
ejpam-3619	41	17	=	=	SYM
ejpam-3619	41	18	0	0	NUM
ejpam-3619	41	19	,	,	PUNCT
ejpam-3619	41	20	by	by	ADP
ejpam-3619	41	21	varying	vary	VERB
ejpam-3619	41	22	the	the	DET
ejpam-3619	41	23	index	index	NOUN
ejpam-3619	41	24	j	j	NOUN
ejpam-3619	41	25	=	=	SYM
ejpam-3619	41	26	1	1	NUM
ejpam-3619	41	27	,	,	PUNCT
ejpam-3619	41	28	2	2	NUM
ejpam-3619	41	29	,	,	PUNCT
ejpam-3619	41	30	3	3	NUM
ejpam-3619	41	31	,	,	PUNCT
ejpam-3619	41	32	.	.	PUNCT
ejpam-3619	41	33	.	.	PUNCT
ejpam-3619	42	1	.	.	PUNCT
ejpam-3619	43	1	,	,	PUNCT
ejpam-3619	43	2	n	n	PROPN
ejpam-3619	43	3	of	of	ADP
ejpam-3619	43	4	the	the	DET
ejpam-3619	43	5	equation	equation	NOUN
ejpam-3619	43	6	(	(	PUNCT
ejpam-3619	43	7	4	4	NUM
ejpam-3619	43	8	)	)	PUNCT
ejpam-3619	43	9	,	,	PUNCT
ejpam-3619	43	10	we	we	PRON
ejpam-3619	43	11	obtain:	obtain:	VERB
ejpam-3619	43	12	un+1	un+1	ADJ
ejpam-3619	43	13	1	1	NUM
ejpam-3619	43	14	un+1	un+1	NOUN
ejpam-3619	43	15	2	2	NUM
ejpam-3619	43	16	un+1	un+1	NOUN
ejpam-3619	43	17	3	3	NUM
ejpam-3619	43	18	...	...	SYM
ejpam-3619	43	19	un+1	un+1	NOUN
ejpam-3619	43	20	n	n	PRON
ejpam-3619	43	21			NOUN
ejpam-3619	43	22	=	=	SYM
ejpam-3619	43	23			NOUN
ejpam-3619	43	24	1−	1−	NUM
ejpam-3619	43	25	β	β	X
ejpam-3619	43	26	0	0	NUM
ejpam-3619	43	27	0	0	NUM
ejpam-3619	43	28	.	.	PUNCT
ejpam-3619	43	29	.	.	PUNCT
ejpam-3619	44	1	.	.	PUNCT
ejpam-3619	44	2	0	0	PUNCT
ejpam-3619	45	1	β	β	X
ejpam-3619	45	2	1−	1−	NUM
ejpam-3619	45	3	β	β	X
ejpam-3619	45	4	0	0	NUM
ejpam-3619	45	5	.	.	PUNCT
ejpam-3619	45	6	.	.	PUNCT
ejpam-3619	45	7	.	.	PUNCT
ejpam-3619	46	1	0	0	NUM
ejpam-3619	46	2	0	0	NUM
ejpam-3619	47	1	β	β	NOUN
ejpam-3619	47	2	1−	1−	NUM
ejpam-3619	47	3	β	β	NOUN
ejpam-3619	47	4	.	.	PUNCT
ejpam-3619	47	5	.	.	PUNCT
ejpam-3619	48	1	.	.	PUNCT
ejpam-3619	48	2	0	0	NUM
ejpam-3619	48	3	...	...	PUNCT
ejpam-3619	48	4	.	.	PUNCT
ejpam-3619	48	5	.	.	PUNCT
ejpam-3619	49	1	.	.	PUNCT
ejpam-3619	49	2	.	.	PUNCT
ejpam-3619	50	1	.	.	PUNCT
ejpam-3619	50	2	.	.	PUNCT
ejpam-3619	51	1	...	...	PUNCT
ejpam-3619	52	1	0	0	NUM
ejpam-3619	52	2	0	0	NUM
ejpam-3619	52	3	.	.	PUNCT
ejpam-3619	52	4	.	.	PUNCT
ejpam-3619	52	5	.	.	PUNCT
ejpam-3619	53	1	β	β	X
ejpam-3619	53	2	1−	1−	NUM
ejpam-3619	53	3	β	β	X
ejpam-3619	53	4			NOUN
ejpam-3619	53	5			NOUN
ejpam-3619	53	6	un1	un1	PRON
ejpam-3619	53	7	un2	un2	VERB
ejpam-3619	53	8	un3	un3	NOUN
ejpam-3619	53	9	...	...	PUNCT
ejpam-3619	54	1	unn	unn	PROPN
ejpam-3619	54	2			NOUN
ejpam-3619	54	3	(	(	PUNCT
ejpam-3619	54	4	5	5	NUM
ejpam-3619	54	5	)	)	PUNCT
ejpam-3619	54	6	3.2	3.2	NUM
ejpam-3619	54	7	.	.	PUNCT
ejpam-3619	55	1	resolution	resolution	NOUN
ejpam-3619	55	2	by	by	ADP
ejpam-3619	55	3	lax	lax	PROPN
ejpam-3619	55	4	-	-	PUNCT
ejpam-3619	55	5	wendroff	wendroff	NOUN
ejpam-3619	55	6	method	method	NOUN
ejpam-3619	55	7	we	we	PRON
ejpam-3619	55	8	will	will	AUX
ejpam-3619	55	9	calculate	calculate	VERB
ejpam-3619	55	10	the	the	DET
ejpam-3619	55	11	solution	solution	NOUN
ejpam-3619	55	12	u(x	u(x	NOUN
ejpam-3619	55	13	,	,	PUNCT
ejpam-3619	55	14	t	t	PROPN
ejpam-3619	55	15	)	)	PUNCT
ejpam-3619	55	16	of	of	ADP
ejpam-3619	55	17	the	the	DET
ejpam-3619	55	18	advection	advection	NOUN
ejpam-3619	55	19	problem	problem	NOUN
ejpam-3619	55	20	for	for	ADP
ejpam-3619	55	21	different	different	ADJ
ejpam-3619	55	22	steps	step	NOUN
ejpam-3619	55	23	in	in	ADP
ejpam-3619	55	24	space	space	NOUN
ejpam-3619	55	25	and	and	CCONJ
ejpam-3619	55	26	time	time	NOUN
ejpam-3619	55	27	.	.	PUNCT
ejpam-3619	56	1	for	for	ADP
ejpam-3619	56	2	this	this	DET
ejpam-3619	56	3	purpose	purpose	NOUN
ejpam-3619	56	4	,	,	PUNCT
ejpam-3619	56	5	the	the	DET
ejpam-3619	56	6	lax	lax	ADJ
ejpam-3619	56	7	-	-	PUNCT
ejpam-3619	56	8	wendroff	wendroff	NOUN
ejpam-3619	56	9	scheme	scheme	NOUN
ejpam-3619	56	10	for	for	ADP
ejpam-3619	56	11	the	the	DET
ejpam-3619	56	12	advection	advection	NOUN
ejpam-3619	56	13	equation	equation	NOUN
ejpam-3619	56	14	is	be	AUX
ejpam-3619	56	15	written	write	VERB
ejpam-3619	56	16	as	as	SCONJ
ejpam-3619	56	17	follows	follow	VERB
ejpam-3619	56	18	un+1	un+1	PROPN
ejpam-3619	56	19	j	j	PROPN
ejpam-3619	56	20	−	−	PROPN
ejpam-3619	56	21	unj	unj	PROPN
ejpam-3619	56	22	∆t	∆t	PROPN
ejpam-3619	57	1	+	+	CCONJ
ejpam-3619	57	2	c	c	NOUN
ejpam-3619	57	3	unj+1	unj+1	NOUN
ejpam-3619	57	4	−	−	PROPN
ejpam-3619	57	5	unj−1	unj−1	PROPN
ejpam-3619	57	6	2∆x	2∆x	NUM
ejpam-3619	57	7	−	−	PROPN
ejpam-3619	57	8	(	(	PUNCT
ejpam-3619	57	9	c2∆t	c2∆t	NOUN
ejpam-3619	57	10	2	2	NUM
ejpam-3619	57	11	)	)	PUNCT
ejpam-3619	58	1	unj−1	unj−1	NOUN
ejpam-3619	59	1	−	−	NUM
ejpam-3619	59	2	2unj	2unj	PROPN
ejpam-3619	59	3	+	+	CCONJ
ejpam-3619	59	4	unj+1	unj+1	PROPN
ejpam-3619	59	5	∆x2	∆x2	NOUN
ejpam-3619	59	6	=	=	SYM
ejpam-3619	59	7	0	0	NUM
ejpam-3619	59	8	(	(	PUNCT
ejpam-3619	59	9	6	6	NUM
ejpam-3619	59	10	)	)	PUNCT
ejpam-3619	59	11	and	and	CCONJ
ejpam-3619	59	12	in	in	ADP
ejpam-3619	59	13	the	the	DET
ejpam-3619	59	14	form	form	NOUN
ejpam-3619	59	15	of	of	ADP
ejpam-3619	59	16	recurrence	recurrence	NOUN
ejpam-3619	59	17	un+1	un+1	PROPN
ejpam-3619	59	18	j	j	PROPN
ejpam-3619	60	1	=	=	SYM
ejpam-3619	61	1	(	(	PUNCT
ejpam-3619	61	2	1−	1−	NUM
ejpam-3619	61	3	λ2)unj	λ2)unj	X
ejpam-3619	62	1	+	+	CCONJ
ejpam-3619	62	2	(	(	PUNCT
ejpam-3619	62	3	λ2	λ2	NOUN
ejpam-3619	62	4	2	2	NUM
ejpam-3619	62	5	+	+	NUM
ejpam-3619	62	6	λ	λ	NOUN
ejpam-3619	62	7	2	2	NUM
ejpam-3619	62	8	)	)	PUNCT
ejpam-3619	62	9	unj−1	unj−1	PROPN
ejpam-3619	63	1	+	+	CCONJ
ejpam-3619	63	2	(	(	PUNCT
ejpam-3619	63	3	λ2	λ2	NOUN
ejpam-3619	63	4	2	2	NUM
ejpam-3619	63	5	−	−	NOUN
ejpam-3619	63	6	λ	λ	NOUN
ejpam-3619	63	7	2	2	NUM
ejpam-3619	63	8	)	)	PUNCT
ejpam-3619	63	9	unj+1	unj+1	NOUN
ejpam-3619	63	10	,	,	PUNCT
ejpam-3619	63	11	avec	avec	X
ejpam-3619	63	12	λ	λ	X
ejpam-3619	63	13	=	=	PUNCT
ejpam-3619	63	14	c	c	PROPN
ejpam-3619	63	15	∆t	∆t	PROPN
ejpam-3619	63	16	∆x	∆x	PROPN
ejpam-3619	63	17	.	.	PUNCT
ejpam-3619	64	1	(	(	PUNCT
ejpam-3619	64	2	7	7	X
ejpam-3619	64	3	)	)	PUNCT
ejpam-3619	64	4	the	the	DET
ejpam-3619	64	5	homogeneous	homogeneous	ADJ
ejpam-3619	64	6	dirichlet	dirichlet	PROPN
ejpam-3619	64	7	boundary	boundary	PROPN
ejpam-3619	64	8	conditions	condition	NOUN
ejpam-3619	64	9	are	be	AUX
ejpam-3619	64	10	u(0	u(0	PROPN
ejpam-3619	64	11	,	,	PUNCT
ejpam-3619	64	12	t	t	PROPN
ejpam-3619	64	13	)	)	PUNCT
ejpam-3619	64	14	'	'	PART
ejpam-3619	64	15	u(x0	u(x0	NOUN
ejpam-3619	64	16	,	,	PUNCT
ejpam-3619	64	17	tn	tn	PROPN
ejpam-3619	64	18	)	)	PUNCT
ejpam-3619	65	1	=	=	SYM
ejpam-3619	65	2	un0	un0	NOUN
ejpam-3619	65	3	=	=	SYM
ejpam-3619	65	4	0	0	NUM
ejpam-3619	65	5	,	,	PUNCT
ejpam-3619	65	6	u(1	u(1	PROPN
ejpam-3619	65	7	,	,	PUNCT
ejpam-3619	65	8	t	t	PROPN
ejpam-3619	65	9	)	)	PUNCT
ejpam-3619	65	10	'	'	PUNCT
ejpam-3619	65	11	u(xn+1	u(xn+1	PROPN
ejpam-3619	65	12	,	,	PUNCT
ejpam-3619	65	13	tn	tn	PROPN
ejpam-3619	65	14	)	)	PUNCT
ejpam-3619	65	15	=	=	SYM
ejpam-3619	65	16	unn+1	unn+1	NOUN
ejpam-3619	65	17	=	=	SYM
ejpam-3619	65	18	0	0	NUM
ejpam-3619	65	19	,	,	PUNCT
ejpam-3619	65	20	by	by	ADP
ejpam-3619	65	21	varying	vary	VERB
ejpam-3619	65	22	the	the	DET
ejpam-3619	65	23	index	index	NOUN
ejpam-3619	65	24	j	j	NOUN
ejpam-3619	65	25	=	=	SYM
ejpam-3619	65	26	1	1	NUM
ejpam-3619	65	27	,	,	PUNCT
ejpam-3619	65	28	2	2	NUM
ejpam-3619	65	29	,	,	PUNCT
ejpam-3619	65	30	3	3	NUM
ejpam-3619	65	31	,	,	PUNCT
ejpam-3619	65	32	.	.	PUNCT
ejpam-3619	65	33	.	.	PUNCT
ejpam-3619	66	1	.	.	PUNCT
ejpam-3619	67	1	,	,	PUNCT
ejpam-3619	67	2	n	n	PROPN
ejpam-3619	67	3	of	of	ADP
ejpam-3619	67	4	the	the	DET
ejpam-3619	67	5	equation	equation	NOUN
ejpam-3619	67	6	(	(	PUNCT
ejpam-3619	67	7	7	7	X
ejpam-3619	67	8	)	)	PUNCT
ejpam-3619	67	9	we	we	PRON
ejpam-3619	67	10	obtain	obtain	VERB
ejpam-3619	67	11	the	the	DET
ejpam-3619	67	12	following	follow	VERB
ejpam-3619	67	13	matrix	matrix	NOUN
ejpam-3619	67	14	system	system	NOUN
ejpam-3619	67	15	d.v	d.v	PROPN
ejpam-3619	67	16	.	.	PROPN
ejpam-3619	67	17	pongui	pongui	PROPN
ejpam-3619	67	18	ngoma	ngoma	PROPN
ejpam-3619	67	19	,	,	PUNCT
ejpam-3619	67	20	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	67	21	,	,	PUNCT
ejpam-3619	67	22	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	67	23	,	,	PUNCT
ejpam-3619	67	24	n.	n.	PROPN
ejpam-3619	67	25	batangouna	batangouna	PROPN
ejpam-3619	67	26	/	/	SYM
ejpam-3619	67	27	eur	eur	PROPN
ejpam-3619	67	28	.	.	PUNCT
ejpam-3619	68	1	j.	j.	PROPN
ejpam-3619	68	2	pure	pure	PROPN
ejpam-3619	68	3	appl	appl	PROPN
ejpam-3619	68	4	.	.	PROPN
ejpam-3619	68	5	math	math	PROPN
ejpam-3619	68	6	,	,	PUNCT
ejpam-3619	68	7	13	13	NUM
ejpam-3619	68	8	(	(	PUNCT
ejpam-3619	68	9	1	1	NUM
ejpam-3619	68	10	)	)	PUNCT
ejpam-3619	68	11	(	(	PUNCT
ejpam-3619	68	12	2020	2020	NUM
ejpam-3619	68	13	)	)	PUNCT
ejpam-3619	68	14	,	,	PUNCT
ejpam-3619	68	15	144	144	NUM
ejpam-3619	68	16	-	-	SYM
ejpam-3619	68	17	157	157	NUM
ejpam-3619	68	18	147	147	NUM
ejpam-3619	68	19			NOUN
ejpam-3619	68	20	un+1	un+1	NOUN
ejpam-3619	68	21	1	1	NUM
ejpam-3619	68	22	un+1	un+1	NOUN
ejpam-3619	68	23	2	2	NUM
ejpam-3619	68	24	un+1	un+1	NOUN
ejpam-3619	68	25	3	3	NUM
ejpam-3619	68	26	...	...	SYM
ejpam-3619	68	27	un+1	un+1	NOUN
ejpam-3619	68	28	n	n	PRON
ejpam-3619	68	29			NOUN
ejpam-3619	68	30	=	=	SYM
ejpam-3619	68	31			NOUN
ejpam-3619	68	32	(	(	PUNCT
ejpam-3619	68	33	1−	1−	NUM
ejpam-3619	68	34	λ2	λ2	NOUN
ejpam-3619	68	35	)	)	PUNCT
ejpam-3619	68	36	(	(	PUNCT
ejpam-3619	68	37	λ	λ	NOUN
ejpam-3619	68	38	2	2	NUM
ejpam-3619	68	39	2	2	NUM
ejpam-3619	68	40	−	−	NOUN
ejpam-3619	68	41	λ	λ	NOUN
ejpam-3619	68	42	2	2	NUM
ejpam-3619	68	43	)	)	PUNCT
ejpam-3619	68	44	0	0	NUM
ejpam-3619	68	45	0	0	NUM
ejpam-3619	68	46	·	·	PUNCT
ejpam-3619	68	47	·	·	PUNCT
ejpam-3619	68	48	·	·	PUNCT
ejpam-3619	68	49	0	0	PUNCT
ejpam-3619	69	1	(	(	PUNCT
ejpam-3619	69	2	λ	λ	X
ejpam-3619	69	3	2	2	NUM
ejpam-3619	69	4	2	2	NUM
ejpam-3619	69	5	+	+	CCONJ
ejpam-3619	69	6	λ	λ	PROPN
ejpam-3619	69	7	2	2	NUM
ejpam-3619	69	8	)	)	PUNCT
ejpam-3619	69	9	(	(	PUNCT
ejpam-3619	69	10	1−	1−	NUM
ejpam-3619	69	11	λ2	λ2	NOUN
ejpam-3619	69	12	)	)	PUNCT
ejpam-3619	69	13	(	(	PUNCT
ejpam-3619	69	14	λ	λ	NOUN
ejpam-3619	69	15	2	2	NUM
ejpam-3619	69	16	2	2	NUM
ejpam-3619	69	17	−	−	NOUN
ejpam-3619	69	18	λ	λ	NOUN
ejpam-3619	69	19	2	2	NUM
ejpam-3619	69	20	)	)	PUNCT
ejpam-3619	69	21	0	0	NUM
ejpam-3619	69	22	·	·	PUNCT
ejpam-3619	69	23	·	·	PUNCT
ejpam-3619	69	24	·	·	PUNCT
ejpam-3619	69	25	0	0	NUM
ejpam-3619	69	26	0	0	NUM
ejpam-3619	70	1	(	(	PUNCT
ejpam-3619	70	2	λ	λ	X
ejpam-3619	70	3	2	2	NUM
ejpam-3619	70	4	2	2	NUM
ejpam-3619	70	5	+	+	CCONJ
ejpam-3619	70	6	λ	λ	PROPN
ejpam-3619	70	7	2	2	NUM
ejpam-3619	70	8	)	)	PUNCT
ejpam-3619	70	9	(	(	PUNCT
ejpam-3619	70	10	1−	1−	NUM
ejpam-3619	70	11	λ2	λ2	NOUN
ejpam-3619	70	12	)	)	PUNCT
ejpam-3619	70	13	(	(	PUNCT
ejpam-3619	70	14	λ	λ	NOUN
ejpam-3619	70	15	2	2	NUM
ejpam-3619	70	16	2	2	NUM
ejpam-3619	70	17	−	−	NOUN
ejpam-3619	70	18	λ	λ	NOUN
ejpam-3619	70	19	2	2	NUM
ejpam-3619	70	20	)	)	PUNCT
ejpam-3619	70	21	·	·	PUNCT
ejpam-3619	70	22	·	·	PUNCT
ejpam-3619	70	23	·	·	PUNCT
ejpam-3619	70	24	0	0	NUM
ejpam-3619	70	25	...	...	PUNCT
ejpam-3619	70	26	.	.	PUNCT
ejpam-3619	70	27	.	.	PUNCT
ejpam-3619	70	28	.	.	PUNCT
ejpam-3619	70	29	.	.	PUNCT
ejpam-3619	70	30	.	.	PUNCT
ejpam-3619	70	31	.	.	PUNCT
ejpam-3619	71	1	(	(	PUNCT
ejpam-3619	71	2	λ	λ	NOUN
ejpam-3619	71	3	2	2	NUM
ejpam-3619	71	4	2	2	NUM
ejpam-3619	71	5	−	−	NOUN
ejpam-3619	71	6	λ	λ	NOUN
ejpam-3619	71	7	2	2	NUM
ejpam-3619	71	8	)	)	PUNCT
ejpam-3619	71	9	0	0	NUM
ejpam-3619	71	10	·	·	PUNCT
ejpam-3619	71	11	·	·	PUNCT
ejpam-3619	71	12	·	·	PUNCT
ejpam-3619	71	13	0	0	PUNCT
ejpam-3619	72	1	(	(	PUNCT
ejpam-3619	72	2	λ	λ	X
ejpam-3619	72	3	2	2	NUM
ejpam-3619	72	4	2	2	NUM
ejpam-3619	72	5	+	+	CCONJ
ejpam-3619	72	6	λ	λ	PROPN
ejpam-3619	72	7	2	2	NUM
ejpam-3619	72	8	)	)	PUNCT
ejpam-3619	72	9	(	(	PUNCT
ejpam-3619	72	10	1−	1−	NUM
ejpam-3619	72	11	λ2	λ2	NOUN
ejpam-3619	72	12	)	)	PUNCT
ejpam-3619	72	13			NOUN
ejpam-3619	72	14			NOUN
ejpam-3619	72	15	un1	un1	PRON
ejpam-3619	72	16	un2	un2	VERB
ejpam-3619	72	17	un3	un3	NOUN
ejpam-3619	72	18	...	...	PUNCT
ejpam-3619	73	1	unn	unn	PROPN
ejpam-3619	73	2			NOUN
ejpam-3619	73	3	(	(	PUNCT
ejpam-3619	73	4	8)	8)	NUM
ejpam-3619	73	5	solving	solve	VERB
ejpam-3619	73	6	the	the	DET
ejpam-3619	73	7	advection	advection	NOUN
ejpam-3619	73	8	problem	problem	NOUN
ejpam-3619	73	9	by	by	ADP
ejpam-3619	73	10	the	the	DET
ejpam-3619	73	11	finite	finite	ADJ
ejpam-3619	73	12	difference	difference	NOUN
ejpam-3619	73	13	and	and	CCONJ
ejpam-3619	73	14	lax	lax	ADJ
ejpam-3619	73	15	-	-	PUNCT
ejpam-3619	73	16	wendroff	wendroff	NOUN
ejpam-3619	73	17	methods	method	NOUN
ejpam-3619	73	18	,	,	PUNCT
ejpam-3619	73	19	we	we	PRON
ejpam-3619	73	20	find	find	VERB
ejpam-3619	73	21	that	that	SCONJ
ejpam-3619	73	22	the	the	DET
ejpam-3619	73	23	linear	linear	ADJ
ejpam-3619	73	24	system	system	NOUN
ejpam-3619	73	25	obtained	obtain	VERB
ejpam-3619	73	26	by	by	ADP
ejpam-3619	73	27	the	the	DET
ejpam-3619	73	28	finite	finite	ADJ
ejpam-3619	73	29	difference	difference	NOUN
ejpam-3619	73	30	method	method	NOUN
ejpam-3619	73	31	admits	admit	VERB
ejpam-3619	73	32	a	a	DET
ejpam-3619	73	33	bidiagonal	bidiagonal	ADJ
ejpam-3619	73	34	and	and	CCONJ
ejpam-3619	73	35	non	non	ADJ
ejpam-3619	73	36	-	-	ADJ
ejpam-3619	73	37	symmetric	symmetric	ADJ
ejpam-3619	73	38	while	while	SCONJ
ejpam-3619	73	39	that	that	PRON
ejpam-3619	73	40	obtained	obtain	VERB
ejpam-3619	73	41	by	by	ADP
ejpam-3619	73	42	lax	lax	PROPN
ejpam-3619	73	43	-	-	PUNCT
ejpam-3619	73	44	wendroff	wendroff	NOUN
ejpam-3619	73	45	is	be	AUX
ejpam-3619	73	46	tridiagonal	tridiagonal	ADJ
ejpam-3619	73	47	and	and	CCONJ
ejpam-3619	73	48	non	non	ADJ
ejpam-3619	73	49	-	-	ADJ
ejpam-3619	73	50	symmetric	symmetric	ADJ
ejpam-3619	73	51	.	.	PUNCT
ejpam-3619	74	1	3.3	3.3	NUM
ejpam-3619	74	2	.	.	PUNCT
ejpam-3619	75	1	numerical	numerical	PROPN
ejpam-3619	75	2	simulation	simulation	PROPN
ejpam-3619	75	3	the	the	DET
ejpam-3619	75	4	aim	aim	NOUN
ejpam-3619	75	5	here	here	ADV
ejpam-3619	75	6	is	be	AUX
ejpam-3619	75	7	to	to	PART
ejpam-3619	75	8	represent	represent	VERB
ejpam-3619	75	9	on	on	ADP
ejpam-3619	75	10	the	the	DET
ejpam-3619	75	11	same	same	ADJ
ejpam-3619	75	12	graph	graph	NOUN
ejpam-3619	75	13	the	the	DET
ejpam-3619	75	14	solutions	solution	NOUN
ejpam-3619	75	15	of	of	ADP
ejpam-3619	75	16	the	the	DET
ejpam-3619	75	17	linear	linear	PROPN
ejpam-3619	75	18	systems	system	NOUN
ejpam-3619	75	19	(	(	PUNCT
ejpam-3619	75	20	7	7	NUM
ejpam-3619	75	21	)	)	PUNCT
ejpam-3619	75	22	and	and	CCONJ
ejpam-3619	75	23	(	(	PUNCT
ejpam-3619	75	24	8)	8)	NUM
ejpam-3619	75	25	of	of	ADP
ejpam-3619	75	26	the	the	DET
ejpam-3619	75	27	finite	finite	ADJ
ejpam-3619	75	28	difference	difference	NOUN
ejpam-3619	75	29	and	and	CCONJ
ejpam-3619	75	30	lax	lax	ADJ
ejpam-3619	75	31	-	-	PUNCT
ejpam-3619	75	32	wendroff	wendroff	NOUN
ejpam-3619	75	33	methods	method	NOUN
ejpam-3619	75	34	respectively	respectively	ADV
ejpam-3619	75	35	,	,	PUNCT
ejpam-3619	75	36	by	by	ADP
ejpam-3619	75	37	making	make	VERB
ejpam-3619	75	38	the	the	DET
ejpam-3619	75	39	choice	choice	NOUN
ejpam-3619	75	40	by	by	ADP
ejpam-3619	75	41	numerical	numerical	ADJ
ejpam-3619	75	42	tests	test	NOUN
ejpam-3619	75	43	of	of	ADP
ejpam-3619	75	44	the	the	DET
ejpam-3619	75	45	parameters	parameter	NOUN
ejpam-3619	75	46	:	:	PUNCT
ejpam-3619	75	47	advection	advection	NOUN
ejpam-3619	75	48	velocity	velocity	NOUN
ejpam-3619	75	49	α	α	NOUN
ejpam-3619	75	50	,	,	PUNCT
ejpam-3619	75	51	number	number	NOUN
ejpam-3619	75	52	of	of	ADP
ejpam-3619	75	53	steps	step	NOUN
ejpam-3619	75	54	in	in	ADP
ejpam-3619	75	55	space	space	NOUN
ejpam-3619	75	56	n	n	NOUN
ejpam-3619	75	57	,	,	PUNCT
ejpam-3619	75	58	number	number	NOUN
ejpam-3619	75	59	of	of	ADP
ejpam-3619	75	60	steps	step	NOUN
ejpam-3619	75	61	in	in	ADP
ejpam-3619	75	62	time	time	NOUN
ejpam-3619	75	63	t	t	NOUN
ejpam-3619	75	64	and	and	CCONJ
ejpam-3619	75	65	time	time	NOUN
ejpam-3619	75	66	steps	step	NOUN
ejpam-3619	75	67	∆t	∆t	PROPN
ejpam-3619	75	68	,	,	PUNCT
ejpam-3619	75	69	respectively	respectively	ADV
ejpam-3619	75	70	.	.	PUNCT
ejpam-3619	76	1	this	this	DET
ejpam-3619	76	2	simulation	simulation	NOUN
ejpam-3619	76	3	will	will	AUX
ejpam-3619	76	4	be	be	AUX
ejpam-3619	76	5	implemented	implement	VERB
ejpam-3619	76	6	in	in	ADP
ejpam-3619	76	7	scilab	scilab	PROPN
ejpam-3619	76	8	.	.	PUNCT
ejpam-3619	77	1	d.v	d.v	PROPN
ejpam-3619	77	2	.	.	PROPN
ejpam-3619	77	3	pongui	pongui	PROPN
ejpam-3619	77	4	ngoma	ngoma	PROPN
ejpam-3619	77	5	,	,	PUNCT
ejpam-3619	77	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	77	7	,	,	PUNCT
ejpam-3619	77	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	77	9	,	,	PUNCT
ejpam-3619	77	10	n.	n.	PROPN
ejpam-3619	77	11	batangouna	batangouna	PROPN
ejpam-3619	77	12	/	/	SYM
ejpam-3619	77	13	eur	eur	PROPN
ejpam-3619	77	14	.	.	PUNCT
ejpam-3619	78	1	j.	j.	PROPN
ejpam-3619	78	2	pure	pure	PROPN
ejpam-3619	78	3	appl	appl	PROPN
ejpam-3619	78	4	.	.	PROPN
ejpam-3619	78	5	math	math	PROPN
ejpam-3619	78	6	,	,	PUNCT
ejpam-3619	78	7	13	13	NUM
ejpam-3619	78	8	(	(	PUNCT
ejpam-3619	78	9	1	1	NUM
ejpam-3619	78	10	)	)	PUNCT
ejpam-3619	78	11	(	(	PUNCT
ejpam-3619	78	12	2020	2020	NUM
ejpam-3619	78	13	)	)	PUNCT
ejpam-3619	78	14	,	,	PUNCT
ejpam-3619	78	15	144	144	NUM
ejpam-3619	78	16	-	-	SYM
ejpam-3619	78	17	157	157	NUM
ejpam-3619	78	18	148	148	NUM
ejpam-3619	78	19	(	(	PUNCT
ejpam-3619	78	20	a	a	NOUN
ejpam-3619	78	21	)	)	PUNCT
ejpam-3619	78	22	(	(	PUNCT
ejpam-3619	78	23	b	b	X
ejpam-3619	78	24	)	)	PUNCT
ejpam-3619	78	25	(	(	PUNCT
ejpam-3619	78	26	c	c	X
ejpam-3619	78	27	)	)	PUNCT
ejpam-3619	78	28	figure	figure	NOUN
ejpam-3619	78	29	1	1	NUM
ejpam-3619	78	30	:	:	PUNCT
ejpam-3619	78	31	representation	representation	NOUN
ejpam-3619	78	32	of	of	ADP
ejpam-3619	78	33	the	the	DET
ejpam-3619	78	34	solution	solution	NOUN
ejpam-3619	78	35	of	of	ADP
ejpam-3619	78	36	the	the	DET
ejpam-3619	78	37	advection	advection	NOUN
ejpam-3619	78	38	problem	problem	NOUN
ejpam-3619	78	39	by	by	ADP
ejpam-3619	78	40	finite	finite	ADJ
ejpam-3619	78	41	difference	difference	NOUN
ejpam-3619	78	42	(	(	PUNCT
ejpam-3619	78	43	fd	fd	X
ejpam-3619	78	44	)	)	PUNCT
ejpam-3619	78	45	and	and	CCONJ
ejpam-3619	78	46	lax	lax	ADJ
ejpam-3619	78	47	-	-	PUNCT
ejpam-3619	78	48	wendroff	wendroff	NOUN
ejpam-3619	78	49	methods	method	NOUN
ejpam-3619	78	50	for	for	ADP
ejpam-3619	78	51	n	n	NOUN
ejpam-3619	78	52	=	=	SYM
ejpam-3619	78	53	99	99	NUM
ejpam-3619	78	54	et	et	NOUN
ejpam-3619	78	55	t	t	NOUN
ejpam-3619	78	56	=	=	SYM
ejpam-3619	78	57	2000	2000	NUM
ejpam-3619	78	58	.	.	PUNCT
ejpam-3619	79	1	taking	take	VERB
ejpam-3619	79	2	the	the	DET
ejpam-3619	79	3	number	number	NOUN
ejpam-3619	79	4	of	of	ADP
ejpam-3619	79	5	steps	step	NOUN
ejpam-3619	79	6	in	in	ADP
ejpam-3619	79	7	space	space	NOUN
ejpam-3619	79	8	n	n	NOUN
ejpam-3619	79	9	=	=	SYM
ejpam-3619	79	10	99	99	NUM
ejpam-3619	79	11	and	and	CCONJ
ejpam-3619	79	12	the	the	DET
ejpam-3619	79	13	number	number	NOUN
ejpam-3619	79	14	of	of	ADP
ejpam-3619	79	15	steps	step	NOUN
ejpam-3619	79	16	in	in	ADP
ejpam-3619	79	17	time	time	NOUN
ejpam-3619	79	18	t	t	NOUN
ejpam-3619	79	19	=	=	SYM
ejpam-3619	79	20	2000	2000	NUM
ejpam-3619	79	21	in	in	ADP
ejpam-3619	79	22	finite	finite	ADJ
ejpam-3619	79	23	difference	difference	NOUN
ejpam-3619	79	24	methods	method	NOUN
ejpam-3619	79	25	(	(	PUNCT
ejpam-3619	79	26	7	7	NUM
ejpam-3619	79	27	)	)	PUNCT
ejpam-3619	79	28	and	and	CCONJ
ejpam-3619	79	29	lax	lax	NOUN
ejpam-3619	79	30	-	-	PUNCT
ejpam-3619	79	31	wendroff	wendroff	NOUN
ejpam-3619	79	32	(	(	PUNCT
ejpam-3619	79	33	8)	8)	NUM
ejpam-3619	79	34	,	,	PUNCT
ejpam-3619	79	35	we	we	PRON
ejpam-3619	79	36	sought	seek	VERB
ejpam-3619	79	37	to	to	PART
ejpam-3619	79	38	vary	vary	VERB
ejpam-3619	79	39	the	the	DET
ejpam-3619	79	40	advection	advection	NOUN
ejpam-3619	79	41	speed	speed	NOUN
ejpam-3619	79	42	α	α	NOUN
ejpam-3619	79	43	and	and	CCONJ
ejpam-3619	79	44	the	the	DET
ejpam-3619	79	45	time	time	NOUN
ejpam-3619	79	46	step	step	NOUN
ejpam-3619	79	47	∆t	∆t	PROPN
ejpam-3619	79	48	of	of	ADP
ejpam-3619	79	49	the	the	DET
ejpam-3619	79	50	advection	advection	NOUN
ejpam-3619	79	51	problem	problem	NOUN
ejpam-3619	79	52	and	and	CCONJ
ejpam-3619	79	53	numerical	numerical	ADJ
ejpam-3619	79	54	methods	method	NOUN
ejpam-3619	79	55	(	(	PUNCT
ejpam-3619	79	56	finite	finite	VERB
ejpam-3619	79	57	differences	difference	NOUN
ejpam-3619	79	58	and	and	CCONJ
ejpam-3619	79	59	lax	lax	NOUN
ejpam-3619	79	60	-	-	PUNCT
ejpam-3619	79	61	wendroff	wendroff	NOUN
ejpam-3619	79	62	)	)	PUNCT
ejpam-3619	79	63	respectively	respectively	ADV
ejpam-3619	79	64	,	,	PUNCT
ejpam-3619	79	65	in	in	ADP
ejpam-3619	79	66	order	order	NOUN
ejpam-3619	79	67	to	to	PART
ejpam-3619	79	68	verify	verify	VERB
ejpam-3619	79	69	the	the	DET
ejpam-3619	79	70	numerical	numerical	ADJ
ejpam-3619	79	71	convergence	convergence	NOUN
ejpam-3619	79	72	of	of	ADP
ejpam-3619	79	73	the	the	DET
ejpam-3619	79	74	solutions	solution	NOUN
ejpam-3619	79	75	(	(	PUNCT
ejpam-3619	79	76	7	7	NUM
ejpam-3619	79	77	)	)	PUNCT
ejpam-3619	79	78	and	and	CCONJ
ejpam-3619	79	79	lax	lax	NOUN
ejpam-3619	79	80	-	-	PUNCT
ejpam-3619	79	81	wendroff	wendroff	NOUN
ejpam-3619	79	82	(	(	PUNCT
ejpam-3619	79	83	8)	8)	NUM
ejpam-3619	79	84	.	.	PUNCT
ejpam-3619	80	1	(	(	PUNCT
ejpam-3619	80	2	see	see	VERB
ejpam-3619	80	3	figure	figure	NOUN
ejpam-3619	80	4	1	1	NUM
ejpam-3619	80	5	)	)	PUNCT
ejpam-3619	80	6	.	.	PUNCT
ejpam-3619	81	1	d.v	d.v	PROPN
ejpam-3619	81	2	.	.	PROPN
ejpam-3619	81	3	pongui	pongui	PROPN
ejpam-3619	81	4	ngoma	ngoma	PROPN
ejpam-3619	81	5	,	,	PUNCT
ejpam-3619	81	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	81	7	,	,	PUNCT
ejpam-3619	81	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	81	9	,	,	PUNCT
ejpam-3619	81	10	n.	n.	PROPN
ejpam-3619	81	11	batangouna	batangouna	PROPN
ejpam-3619	81	12	/	/	SYM
ejpam-3619	81	13	eur	eur	PROPN
ejpam-3619	81	14	.	.	PUNCT
ejpam-3619	82	1	j.	j.	PROPN
ejpam-3619	82	2	pure	pure	PROPN
ejpam-3619	82	3	appl	appl	PROPN
ejpam-3619	82	4	.	.	PROPN
ejpam-3619	82	5	math	math	PROPN
ejpam-3619	82	6	,	,	PUNCT
ejpam-3619	82	7	13	13	NUM
ejpam-3619	82	8	(	(	PUNCT
ejpam-3619	82	9	1	1	NUM
ejpam-3619	82	10	)	)	PUNCT
ejpam-3619	82	11	(	(	PUNCT
ejpam-3619	82	12	2020	2020	NUM
ejpam-3619	82	13	)	)	PUNCT
ejpam-3619	82	14	,	,	PUNCT
ejpam-3619	82	15	144	144	NUM
ejpam-3619	82	16	-	-	SYM
ejpam-3619	82	17	157	157	NUM
ejpam-3619	82	18	149	149	NUM
ejpam-3619	82	19	•	•	NOUN
ejpam-3619	82	20	taking	take	VERB
ejpam-3619	82	21	α	α	NOUN
ejpam-3619	82	22	=	=	NUM
ejpam-3619	82	23	0.2	0.2	NUM
ejpam-3619	82	24	et	et	NOUN
ejpam-3619	82	25	∆t	∆t	PROPN
ejpam-3619	82	26	=	=	SYM
ejpam-3619	82	27	0.001	0.001	NUM
ejpam-3619	82	28	,	,	PUNCT
ejpam-3619	82	29	we	we	PRON
ejpam-3619	82	30	note	note	VERB
ejpam-3619	82	31	that	that	SCONJ
ejpam-3619	82	32	the	the	DET
ejpam-3619	82	33	solution	solution	NOUN
ejpam-3619	82	34	obtained	obtain	VERB
ejpam-3619	82	35	by	by	ADP
ejpam-3619	82	36	the	the	DET
ejpam-3619	82	37	finite	finite	ADJ
ejpam-3619	82	38	difference	difference	NOUN
ejpam-3619	82	39	(	(	PUNCT
ejpam-3619	82	40	fd	fd	X
ejpam-3619	82	41	)	)	PUNCT
ejpam-3619	82	42	method	method	NOUN
ejpam-3619	82	43	remains	remain	VERB
ejpam-3619	82	44	constant	constant	ADJ
ejpam-3619	82	45	whereas	whereas	SCONJ
ejpam-3619	82	46	that	that	PRON
ejpam-3619	82	47	obtained	obtain	VERB
ejpam-3619	82	48	by	by	ADP
ejpam-3619	82	49	the	the	DET
ejpam-3619	82	50	lax	lax	PROPN
ejpam-3619	82	51	-	-	PUNCT
ejpam-3619	82	52	wendroff	wendroff	NOUN
ejpam-3619	82	53	method	method	NOUN
ejpam-3619	82	54	is	be	AUX
ejpam-3619	82	55	unstable	unstable	ADJ
ejpam-3619	82	56	at	at	ADP
ejpam-3619	82	57	first	first	ADV
ejpam-3619	82	58	,	,	PUNCT
ejpam-3619	82	59	then	then	ADV
ejpam-3619	82	60	becomes	become	VERB
ejpam-3619	82	61	stable	stable	ADJ
ejpam-3619	82	62	and	and	CCONJ
ejpam-3619	82	63	becomes	become	VERB
ejpam-3619	82	64	unstable	unstable	ADJ
ejpam-3619	82	65	after	after	ADV
ejpam-3619	82	66	(	(	PUNCT
ejpam-3619	82	67	figure	figure	NOUN
ejpam-3619	82	68	1	1	NUM
ejpam-3619	82	69	a	a	NOUN
ejpam-3619	82	70	)	)	PUNCT
ejpam-3619	82	71	.	.	PUNCT
ejpam-3619	83	1	•	•	NUM
ejpam-3619	83	2	taking	take	VERB
ejpam-3619	83	3	α	α	NOUN
ejpam-3619	83	4	=	=	SYM
ejpam-3619	83	5	0.002	0.002	NUM
ejpam-3619	83	6	et	et	NOUN
ejpam-3619	83	7	∆t	∆t	PROPN
ejpam-3619	83	8	=	=	SYM
ejpam-3619	83	9	0.05	0.05	NUM
ejpam-3619	83	10	,	,	PUNCT
ejpam-3619	83	11	we	we	PRON
ejpam-3619	83	12	find	find	VERB
ejpam-3619	83	13	that	that	SCONJ
ejpam-3619	83	14	the	the	DET
ejpam-3619	83	15	solution	solution	NOUN
ejpam-3619	83	16	by	by	ADP
ejpam-3619	83	17	fd	fd	PROPN
ejpam-3619	83	18	is	be	AUX
ejpam-3619	83	19	constant	constant	ADJ
ejpam-3619	83	20	at	at	ADP
ejpam-3619	83	21	the	the	DET
ejpam-3619	83	22	beginning	beginning	NOUN
ejpam-3619	83	23	,	,	PUNCT
ejpam-3619	83	24	then	then	ADV
ejpam-3619	83	25	oscillates	oscillate	VERB
ejpam-3619	83	26	at	at	ADP
ejpam-3619	83	27	very	very	ADV
ejpam-3619	83	28	low	low	ADJ
ejpam-3619	83	29	amplitudes	amplitude	NOUN
ejpam-3619	83	30	whereas	whereas	SCONJ
ejpam-3619	83	31	by	by	ADP
ejpam-3619	83	32	lax	lax	NOUN
ejpam-3619	83	33	-	-	PUNCT
ejpam-3619	83	34	wendroff	wendroff	NOUN
ejpam-3619	83	35	it	it	PRON
ejpam-3619	83	36	is	be	AUX
ejpam-3619	83	37	unstable	unstable	ADJ
ejpam-3619	83	38	at	at	ADP
ejpam-3619	83	39	first	first	ADV
ejpam-3619	83	40	,	,	PUNCT
ejpam-3619	83	41	then	then	ADV
ejpam-3619	83	42	remains	remain	VERB
ejpam-3619	83	43	stable	stable	ADJ
ejpam-3619	83	44	for	for	ADP
ejpam-3619	83	45	a	a	DET
ejpam-3619	83	46	long	long	ADJ
ejpam-3619	83	47	time	time	NOUN
ejpam-3619	83	48	and	and	CCONJ
ejpam-3619	83	49	becomes	become	VERB
ejpam-3619	83	50	unstable	unstable	ADJ
ejpam-3619	83	51	after	after	ADV
ejpam-3619	83	52	(	(	PUNCT
ejpam-3619	83	53	figure	figure	NOUN
ejpam-3619	83	54	1	1	NUM
ejpam-3619	83	55	b	b	NOUN
ejpam-3619	83	56	)	)	PUNCT
ejpam-3619	83	57	.	.	PUNCT
ejpam-3619	84	1	•	•	NUM
ejpam-3619	84	2	taking	take	VERB
ejpam-3619	84	3	α	α	NOUN
ejpam-3619	84	4	=	=	SYM
ejpam-3619	84	5	0.02	0.02	NUM
ejpam-3619	84	6	et	et	NOUN
ejpam-3619	84	7	∆t	∆t	PROPN
ejpam-3619	84	8	=	=	SYM
ejpam-3619	84	9	0.001	0.001	NUM
ejpam-3619	84	10	,	,	PUNCT
ejpam-3619	84	11	we	we	PRON
ejpam-3619	84	12	note	note	VERB
ejpam-3619	84	13	that	that	SCONJ
ejpam-3619	84	14	both	both	DET
ejpam-3619	84	15	solutions	solution	NOUN
ejpam-3619	84	16	(	(	PUNCT
ejpam-3619	84	17	fd	fd	X
ejpam-3619	84	18	and	and	CCONJ
ejpam-3619	84	19	laxwendroff	laxwendroff	NOUN
ejpam-3619	84	20	)	)	PUNCT
ejpam-3619	84	21	converge	converge	VERB
ejpam-3619	84	22	and	and	CCONJ
ejpam-3619	84	23	the	the	DET
ejpam-3619	84	24	solution	solution	NOUN
ejpam-3619	84	25	by	by	ADP
ejpam-3619	84	26	lax	lax	PROPN
ejpam-3619	84	27	-	-	PUNCT
ejpam-3619	84	28	wendroff	wendroff	NOUN
ejpam-3619	84	29	admits	admit	VERB
ejpam-3619	84	30	a	a	DET
ejpam-3619	84	31	higher	high	ADJ
ejpam-3619	84	32	peak	peak	NOUN
ejpam-3619	84	33	than	than	ADP
ejpam-3619	84	34	that	that	PRON
ejpam-3619	84	35	obtained	obtain	VERB
ejpam-3619	84	36	by	by	ADP
ejpam-3619	84	37	fd	fd	PROPN
ejpam-3619	84	38	(	(	PUNCT
ejpam-3619	84	39	figure	figure	NOUN
ejpam-3619	84	40	1	1	NUM
ejpam-3619	84	41	c	c	NOUN
ejpam-3619	84	42	)	)	PUNCT
ejpam-3619	84	43	.	.	PUNCT
ejpam-3619	85	1	(	(	PUNCT
ejpam-3619	85	2	d	d	X
ejpam-3619	85	3	)	)	PUNCT
ejpam-3619	85	4	(	(	PUNCT
ejpam-3619	85	5	e	e	NOUN
ejpam-3619	85	6	)	)	PUNCT
ejpam-3619	85	7	figure	figure	NOUN
ejpam-3619	85	8	2	2	NUM
ejpam-3619	85	9	:	:	PUNCT
ejpam-3619	85	10	representation	representation	NOUN
ejpam-3619	85	11	of	of	ADP
ejpam-3619	85	12	the	the	DET
ejpam-3619	85	13	solution	solution	NOUN
ejpam-3619	85	14	of	of	ADP
ejpam-3619	85	15	the	the	DET
ejpam-3619	85	16	advection	advection	NOUN
ejpam-3619	85	17	problem	problem	NOUN
ejpam-3619	85	18	by	by	ADP
ejpam-3619	85	19	finite	finite	ADJ
ejpam-3619	85	20	difference	difference	NOUN
ejpam-3619	85	21	(	(	PUNCT
ejpam-3619	85	22	fd	fd	X
ejpam-3619	85	23	)	)	PUNCT
ejpam-3619	85	24	and	and	CCONJ
ejpam-3619	85	25	lax	lax	ADJ
ejpam-3619	85	26	-	-	PUNCT
ejpam-3619	85	27	wendroff	wendroff	NOUN
ejpam-3619	85	28	methods	method	NOUN
ejpam-3619	85	29	for	for	ADP
ejpam-3619	85	30	n	n	NOUN
ejpam-3619	85	31	=	=	SYM
ejpam-3619	85	32	99	99	NUM
ejpam-3619	85	33	et	et	NOUN
ejpam-3619	85	34	t	t	NOUN
ejpam-3619	85	35	=	=	PUNCT
ejpam-3619	85	36	2000	2000	NUM
ejpam-3619	85	37	.	.	PUNCT
ejpam-3619	86	1	•	•	NUM
ejpam-3619	86	2	taking	take	VERB
ejpam-3619	86	3	α	α	NOUN
ejpam-3619	86	4	=	=	SYM
ejpam-3619	86	5	0.002	0.002	NUM
ejpam-3619	86	6	et	et	NOUN
ejpam-3619	86	7	∆t	∆t	PROPN
ejpam-3619	86	8	=	=	SYM
ejpam-3619	86	9	0.001	0.001	NUM
ejpam-3619	86	10	,	,	PUNCT
ejpam-3619	86	11	we	we	PRON
ejpam-3619	86	12	find	find	VERB
ejpam-3619	86	13	that	that	SCONJ
ejpam-3619	86	14	both	both	DET
ejpam-3619	86	15	solutions	solution	NOUN
ejpam-3619	86	16	(	(	PUNCT
ejpam-3619	86	17	fd	fd	X
ejpam-3619	86	18	and	and	CCONJ
ejpam-3619	86	19	laxwendroff	laxwendroff	NOUN
ejpam-3619	86	20	)	)	PUNCT
ejpam-3619	86	21	converge	converge	VERB
ejpam-3619	86	22	numerically	numerically	ADV
ejpam-3619	86	23	almost	almost	ADV
ejpam-3619	86	24	everywhere	everywhere	ADV
ejpam-3619	86	25	(	(	PUNCT
ejpam-3619	86	26	figure	figure	NOUN
ejpam-3619	86	27	2	2	NUM
ejpam-3619	86	28	d	d	NOUN
ejpam-3619	86	29	)	)	PUNCT
ejpam-3619	86	30	.	.	PUNCT
ejpam-3619	87	1	•	•	NUM
ejpam-3619	87	2	taking	take	VERB
ejpam-3619	87	3	α	α	NOUN
ejpam-3619	87	4	=	=	SYM
ejpam-3619	87	5	0.002	0.002	NUM
ejpam-3619	87	6	et	et	NOUN
ejpam-3619	87	7	∆t	∆t	PROPN
ejpam-3619	87	8	=	=	SYM
ejpam-3619	87	9	0.000001	0.000001	NUM
ejpam-3619	87	10	,	,	PUNCT
ejpam-3619	87	11	we	we	PRON
ejpam-3619	87	12	see	see	VERB
ejpam-3619	87	13	that	that	SCONJ
ejpam-3619	87	14	both	both	DET
ejpam-3619	87	15	solutions	solution	NOUN
ejpam-3619	87	16	(	(	PUNCT
ejpam-3619	87	17	fd	fd	X
ejpam-3619	87	18	and	and	CCONJ
ejpam-3619	87	19	laxwendroff	laxwendroff	NOUN
ejpam-3619	87	20	)	)	PUNCT
ejpam-3619	87	21	admit	admit	VERB
ejpam-3619	87	22	a	a	DET
ejpam-3619	87	23	total	total	ADJ
ejpam-3619	87	24	convergence	convergence	NOUN
ejpam-3619	87	25	numerically	numerically	ADV
ejpam-3619	87	26	(	(	PUNCT
ejpam-3619	87	27	figure	figure	NOUN
ejpam-3619	87	28	2	2	NUM
ejpam-3619	87	29	e	e	NOUN
ejpam-3619	87	30	)	)	PUNCT
ejpam-3619	87	31	the	the	DET
ejpam-3619	87	32	numerical	numerical	ADJ
ejpam-3619	87	33	convergence	convergence	NOUN
ejpam-3619	87	34	of	of	ADP
ejpam-3619	87	35	the	the	DET
ejpam-3619	87	36	solution	solution	NOUN
ejpam-3619	87	37	from	from	ADP
ejpam-3619	87	38	finite	finite	ADJ
ejpam-3619	87	39	difference	difference	NOUN
ejpam-3619	87	40	and	and	CCONJ
ejpam-3619	87	41	lax	lax	ADJ
ejpam-3619	87	42	-	-	PUNCT
ejpam-3619	87	43	wendroff	wendroff	NOUN
ejpam-3619	87	44	method	method	NOUN
ejpam-3619	87	45	for	for	ADP
ejpam-3619	87	46	resolving	resolve	VERB
ejpam-3619	87	47	the	the	DET
ejpam-3619	87	48	advection	advection	NOUN
ejpam-3619	87	49	equation	equation	NOUN
ejpam-3619	87	50	requires	require	VERB
ejpam-3619	87	51	very	very	ADV
ejpam-3619	87	52	good	good	ADJ
ejpam-3619	87	53	choices	choice	NOUN
ejpam-3619	87	54	of	of	ADP
ejpam-3619	87	55	the	the	DET
ejpam-3619	87	56	advection	advection	NOUN
ejpam-3619	87	57	speed	speed	NOUN
ejpam-3619	87	58	parameter	parameter	NOUN
ejpam-3619	87	59	α	α	PROPN
ejpam-3619	87	60	and	and	CCONJ
ejpam-3619	87	61	the	the	DET
ejpam-3619	87	62	time	time	NOUN
ejpam-3619	87	63	step	step	NOUN
ejpam-3619	87	64	∆t	∆t	PROPN
ejpam-3619	87	65	,	,	PUNCT
ejpam-3619	87	66	as	as	ADV
ejpam-3619	87	67	well	well	ADV
ejpam-3619	87	68	as	as	ADP
ejpam-3619	87	69	a	a	DET
ejpam-3619	87	70	fairly	fairly	ADV
ejpam-3619	87	71	high	high	ADJ
ejpam-3619	87	72	number	number	NOUN
ejpam-3619	87	73	of	of	ADP
ejpam-3619	87	74	steps	step	NOUN
ejpam-3619	87	75	in	in	ADP
ejpam-3619	87	76	space	space	NOUN
ejpam-3619	87	77	and	and	CCONJ
ejpam-3619	87	78	time	time	NOUN
ejpam-3619	87	79	(	(	PUNCT
ejpam-3619	87	80	n	n	NOUN
ejpam-3619	87	81	and	and	CCONJ
ejpam-3619	87	82	t	t	PROPN
ejpam-3619	87	83	)	)	PUNCT
ejpam-3619	87	84	.	.	PUNCT
ejpam-3619	88	1	d.v	d.v	PROPN
ejpam-3619	88	2	.	.	PROPN
ejpam-3619	88	3	pongui	pongui	PROPN
ejpam-3619	88	4	ngoma	ngoma	PROPN
ejpam-3619	88	5	,	,	PUNCT
ejpam-3619	88	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	88	7	,	,	PUNCT
ejpam-3619	88	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	88	9	,	,	PUNCT
ejpam-3619	88	10	n.	n.	PROPN
ejpam-3619	88	11	batangouna	batangouna	PROPN
ejpam-3619	88	12	/	/	SYM
ejpam-3619	88	13	eur	eur	PROPN
ejpam-3619	88	14	.	.	PUNCT
ejpam-3619	89	1	j.	j.	PROPN
ejpam-3619	89	2	pure	pure	PROPN
ejpam-3619	89	3	appl	appl	PROPN
ejpam-3619	89	4	.	.	PROPN
ejpam-3619	89	5	math	math	PROPN
ejpam-3619	89	6	,	,	PUNCT
ejpam-3619	89	7	13	13	NUM
ejpam-3619	89	8	(	(	PUNCT
ejpam-3619	89	9	1	1	NUM
ejpam-3619	89	10	)	)	PUNCT
ejpam-3619	89	11	(	(	PUNCT
ejpam-3619	89	12	2020	2020	NUM
ejpam-3619	89	13	)	)	PUNCT
ejpam-3619	89	14	,	,	PUNCT
ejpam-3619	89	15	144	144	NUM
ejpam-3619	89	16	-	-	SYM
ejpam-3619	89	17	157	157	NUM
ejpam-3619	89	18	150	150	NUM
ejpam-3619	89	19	4	4	NUM
ejpam-3619	89	20	.	.	PUNCT
ejpam-3619	90	1	study	study	NOUN
ejpam-3619	90	2	of	of	ADP
ejpam-3619	90	3	the	the	DET
ejpam-3619	90	4	analytical	analytical	ADJ
ejpam-3619	90	5	stability	stability	NOUN
ejpam-3619	90	6	in	in	ADP
ejpam-3619	90	7	l2([0	l2([0	ADJ
ejpam-3619	90	8	;	;	PUNCT
ejpam-3619	90	9	1	1	NUM
ejpam-3619	90	10	]	]	PUNCT
ejpam-3619	90	11	)	)	PUNCT
ejpam-3619	90	12	and	and	CCONJ
ejpam-3619	90	13	l∞([0	l∞([0	PROPN
ejpam-3619	90	14	;	;	PUNCT
ejpam-3619	90	15	1	1	NUM
ejpam-3619	90	16	]	]	PUNCT
ejpam-3619	90	17	)	)	PUNCT
ejpam-3619	90	18	of	of	ADP
ejpam-3619	90	19	the	the	DET
ejpam-3619	90	20	finite	finite	ADJ
ejpam-3619	90	21	difference	difference	NOUN
ejpam-3619	90	22	and	and	CCONJ
ejpam-3619	90	23	lax	lax	ADJ
ejpam-3619	90	24	-	-	PUNCT
ejpam-3619	90	25	wendroff	wendroff	NOUN
ejpam-3619	90	26	methods	method	NOUN
ejpam-3619	90	27	for	for	ADP
ejpam-3619	90	28	the	the	DET
ejpam-3619	90	29	advection	advection	NOUN
ejpam-3619	90	30	equation	equation	NOUN
ejpam-3619	90	31	in	in	ADP
ejpam-3619	90	32	this	this	DET
ejpam-3619	90	33	section	section	NOUN
ejpam-3619	90	34	,	,	PUNCT
ejpam-3619	90	35	we	we	PRON
ejpam-3619	90	36	study	study	VERB
ejpam-3619	90	37	the	the	DET
ejpam-3619	90	38	analytical	analytical	ADJ
ejpam-3619	90	39	stability	stability	NOUN
ejpam-3619	90	40	in	in	ADP
ejpam-3619	90	41	l2([0	l2([0	ADJ
ejpam-3619	90	42	;	;	PUNCT
ejpam-3619	90	43	1	1	NUM
ejpam-3619	90	44	]	]	PUNCT
ejpam-3619	90	45	)	)	PUNCT
ejpam-3619	90	46	and	and	CCONJ
ejpam-3619	90	47	l∞([0	l∞([0	PROPN
ejpam-3619	90	48	;	;	PUNCT
ejpam-3619	90	49	1	1	NUM
ejpam-3619	90	50	]	]	PUNCT
ejpam-3619	90	51	)	)	PUNCT
ejpam-3619	90	52	of	of	ADP
ejpam-3619	90	53	the	the	DET
ejpam-3619	90	54	finite	finite	ADJ
ejpam-3619	90	55	difference	difference	NOUN
ejpam-3619	90	56	and	and	CCONJ
ejpam-3619	90	57	lax	lax	ADJ
ejpam-3619	90	58	-	-	PUNCT
ejpam-3619	90	59	wendroff	wendroff	NOUN
ejpam-3619	90	60	methods	method	NOUN
ejpam-3619	90	61	for	for	ADP
ejpam-3619	90	62	the	the	DET
ejpam-3619	90	63	advection	advection	NOUN
ejpam-3619	90	64	equation	equation	NOUN
ejpam-3619	90	65	4.1	4.1	NUM
ejpam-3619	90	66	.	.	PUNCT
ejpam-3619	91	1	analytical	analytical	ADJ
ejpam-3619	91	2	stability	stability	NOUN
ejpam-3619	91	3	in	in	ADP
ejpam-3619	91	4	l2([0	l2([0	ADJ
ejpam-3619	91	5	;	;	PUNCT
ejpam-3619	91	6	1	1	NUM
ejpam-3619	91	7	]	]	PUNCT
ejpam-3619	91	8	)	)	PUNCT
ejpam-3619	91	9	for	for	ADP
ejpam-3619	91	10	the	the	DET
ejpam-3619	91	11	finite	finite	ADJ
ejpam-3619	91	12	difference	difference	NOUN
ejpam-3619	91	13	method	method	NOUN
ejpam-3619	91	14	of	of	ADP
ejpam-3619	91	15	the	the	DET
ejpam-3619	91	16	transport	transport	NOUN
ejpam-3619	91	17	equation	equation	NOUN
ejpam-3619	91	18	here	here	ADV
ejpam-3619	91	19	,	,	PUNCT
ejpam-3619	91	20	we	we	PRON
ejpam-3619	91	21	will	will	AUX
ejpam-3619	91	22	study	study	VERB
ejpam-3619	91	23	the	the	DET
ejpam-3619	91	24	analytical	analytical	ADJ
ejpam-3619	91	25	stability	stability	NOUN
ejpam-3619	91	26	in	in	ADP
ejpam-3619	91	27	l2([0	l2([0	ADJ
ejpam-3619	91	28	;	;	PUNCT
ejpam-3619	91	29	1	1	NUM
ejpam-3619	91	30	]	]	PUNCT
ejpam-3619	91	31	)	)	PUNCT
ejpam-3619	91	32	of	of	ADP
ejpam-3619	91	33	the	the	DET
ejpam-3619	91	34	numerical	numerical	PROPN
ejpam-3619	91	35	finite	finite	PROPN
ejpam-3619	91	36	difference	difference	NOUN
ejpam-3619	91	37	method	method	NOUN
ejpam-3619	91	38	used	use	VERB
ejpam-3619	91	39	for	for	ADP
ejpam-3619	91	40	the	the	DET
ejpam-3619	91	41	advection	advection	NOUN
ejpam-3619	91	42	problem	problem	NOUN
ejpam-3619	91	43	.	.	PUNCT
ejpam-3619	92	1	let	let	VERB
ejpam-3619	92	2	eiwx	eiwx	ADJ
ejpam-3619	92	3	and	and	CCONJ
ejpam-3619	92	4	eiwxj	eiwxj	NOUN
ejpam-3619	92	5	be	be	VERB
ejpam-3619	92	6	the	the	DET
ejpam-3619	92	7	mode	mode	NOUN
ejpam-3619	92	8	values	value	NOUN
ejpam-3619	92	9	of	of	ADP
ejpam-3619	92	10	the	the	DET
ejpam-3619	92	11	exact	exact	ADJ
ejpam-3619	92	12	and	and	CCONJ
ejpam-3619	92	13	discrete	discrete	ADJ
ejpam-3619	92	14	operators	operator	NOUN
ejpam-3619	92	15	respectively	respectively	ADV
ejpam-3619	92	16	where	where	SCONJ
ejpam-3619	92	17	i	i	PRON
ejpam-3619	92	18	is	be	AUX
ejpam-3619	92	19	the	the	DET
ejpam-3619	92	20	imaginary	imaginary	ADJ
ejpam-3619	92	21	unit	unit	NOUN
ejpam-3619	92	22	such	such	ADJ
ejpam-3619	92	23	that	that	DET
ejpam-3619	92	24	i2	i2	PROPN
ejpam-3619	92	25	=	=	SYM
ejpam-3619	92	26	−1	−1	NOUN
ejpam-3619	92	27	.	.	PUNCT
ejpam-3619	93	1	let	let	VERB
ejpam-3619	93	2	un	un	PROPN
ejpam-3619	93	3	=	=	PROPN
ejpam-3619	93	4	unwe	unwe	PROPN
ejpam-3619	93	5	iwx	iwx	ADJ
ejpam-3619	93	6	,	,	PUNCT
ejpam-3619	93	7	i	i	PRON
ejpam-3619	93	8	∈	∈	PROPN
ejpam-3619	93	9	c	c	PROPN
ejpam-3619	93	10	and	and	CCONJ
ejpam-3619	93	11	xj	xj	PROPN
ejpam-3619	93	12	=	=	SYM
ejpam-3619	94	1	j∆x	j∆x	PROPN
ejpam-3619	94	2	'	'	PUNCT
ejpam-3619	94	3	jh	jh	PROPN
ejpam-3619	94	4	where	where	SCONJ
ejpam-3619	94	5	h	h	NOUN
ejpam-3619	94	6	=	=	SYM
ejpam-3619	94	7	∆x	∆x	PROPN
ejpam-3619	94	8	is	be	AUX
ejpam-3619	94	9	the	the	DET
ejpam-3619	94	10	constant	constant	ADJ
ejpam-3619	94	11	step	step	NOUN
ejpam-3619	94	12	of	of	ADP
ejpam-3619	94	13	space	space	NOUN
ejpam-3619	94	14	discretization	discretization	NOUN
ejpam-3619	94	15	.	.	PUNCT
ejpam-3619	95	1	then	then	ADV
ejpam-3619	95	2	unj	unj	VERB
ejpam-3619	95	3	=	=	NOUN
ejpam-3619	95	4	unwe	unwe	ADJ
ejpam-3619	95	5	iwxj	iwxj	NOUN
ejpam-3619	95	6	'	'	PUNCT
ejpam-3619	95	7	unweiwjh	unweiwjh	NOUN
ejpam-3619	95	8	(	(	PUNCT
ejpam-3619	95	9	9	9	NUM
ejpam-3619	95	10	)	)	PUNCT
ejpam-3619	95	11	replacing	replace	VERB
ejpam-3619	95	12	(	(	PUNCT
ejpam-3619	95	13	9	9	NUM
ejpam-3619	95	14	)	)	PUNCT
ejpam-3619	95	15	in	in	ADP
ejpam-3619	95	16	(	(	PUNCT
ejpam-3619	95	17	4	4	NUM
ejpam-3619	95	18	)	)	PUNCT
ejpam-3619	95	19	,	,	PUNCT
ejpam-3619	95	20	we	we	PRON
ejpam-3619	95	21	obtain	obtain	VERB
ejpam-3619	95	22	un+1	un+1	PROPN
ejpam-3619	95	23	w	w	NOUN
ejpam-3619	95	24	eiwjh	eiwjh	NOUN
ejpam-3619	95	25	=	=	SYM
ejpam-3619	95	26	βunwe	βunwe	NOUN
ejpam-3619	95	27	iwjh.e−iwh	iwjh.e−iwh	NOUN
ejpam-3619	96	1	+	+	CCONJ
ejpam-3619	96	2	(	(	PUNCT
ejpam-3619	96	3	1−	1−	NUM
ejpam-3619	96	4	β)unwe	β)unwe	NOUN
ejpam-3619	96	5	iwjh	iwjh	NOUN
ejpam-3619	96	6	,	,	PUNCT
ejpam-3619	96	7	(	(	PUNCT
ejpam-3619	96	8	10	10	NUM
ejpam-3619	96	9	)	)	PUNCT
ejpam-3619	96	10	un+1	un+1	NOUN
ejpam-3619	96	11	w	w	NOUN
ejpam-3619	97	1	=	=	PUNCT
ejpam-3619	98	1	[	[	X
ejpam-3619	98	2	βe−iwh	βe−iwh	X
ejpam-3619	98	3	+	+	CCONJ
ejpam-3619	98	4	(	(	PUNCT
ejpam-3619	98	5	1−	1−	NUM
ejpam-3619	98	6	β)]unw	β)]unw	NOUN
ejpam-3619	98	7	,	,	PUNCT
ejpam-3619	98	8	wh	wh	VERB
ejpam-3619	98	9	∈	∈	PROPN
ejpam-3619	98	10	[	[	X
ejpam-3619	98	11	−π;π	−π;π	X
ejpam-3619	98	12	]	]	X
ejpam-3619	98	13	(	(	PUNCT
ejpam-3619	98	14	11	11	NUM
ejpam-3619	98	15	)	)	PUNCT
ejpam-3619	98	16	let	let	VERB
ejpam-3619	98	17	us	we	PRON
ejpam-3619	98	18	put	put	VERB
ejpam-3619	98	19	r(wh	r(wh	NOUN
ejpam-3619	98	20	)	)	PUNCT
ejpam-3619	98	21	=	=	PUNCT
ejpam-3619	99	1	βe−iwh	βe−iwh	VERB
ejpam-3619	100	1	+	+	CCONJ
ejpam-3619	100	2	(	(	PUNCT
ejpam-3619	100	3	1	1	NUM
ejpam-3619	100	4	−	−	PROPN
ejpam-3619	100	5	β	β	NOUN
ejpam-3619	100	6	)	)	PUNCT
ejpam-3619	100	7	,	,	PUNCT
ejpam-3619	100	8	where	where	SCONJ
ejpam-3619	100	9	r(wh	r(wh	NOUN
ejpam-3619	100	10	)	)	PUNCT
ejpam-3619	100	11	is	be	AUX
ejpam-3619	100	12	the	the	DET
ejpam-3619	100	13	amplification	amplification	NOUN
ejpam-3619	100	14	coefficient	coefficient	NOUN
ejpam-3619	100	15	of	of	ADP
ejpam-3619	100	16	the	the	DET
ejpam-3619	100	17	finite	finite	ADJ
ejpam-3619	100	18	difference	difference	NOUN
ejpam-3619	100	19	operator	operator	NOUN
ejpam-3619	100	20	.	.	PUNCT
ejpam-3619	101	1	let	let	VERB
ejpam-3619	101	2	us	we	PRON
ejpam-3619	101	3	show	show	VERB
ejpam-3619	101	4	that	that	SCONJ
ejpam-3619	101	5	|r(wh)|	|r(wh)|	NUM
ejpam-3619	101	6	6	6	NUM
ejpam-3619	101	7	1	1	NUM
ejpam-3619	101	8	,	,	PUNCT
ejpam-3619	101	9	r(wh)2	r(wh)2	PROPN
ejpam-3619	101	10	=	=	SYM
ejpam-3619	101	11	1−	1−	NUM
ejpam-3619	101	12	2β	2β	NOUN
ejpam-3619	101	13	+	+	CCONJ
ejpam-3619	102	1	2βcoswh−	2βcoswh−	NUM
ejpam-3619	102	2	2β2coswh+	2β2coswh+	NOUN
ejpam-3619	102	3	β2	β2	NOUN
ejpam-3619	102	4	+	+	CCONJ
ejpam-3619	102	5	β2	β2	NOUN
ejpam-3619	102	6	,	,	PUNCT
ejpam-3619	102	7	=	=	PUNCT
ejpam-3619	102	8	(	(	PUNCT
ejpam-3619	102	9	1−	1−	NUM
ejpam-3619	102	10	β)2	β)2	X
ejpam-3619	102	11	+	+	X
ejpam-3619	102	12	β2	β2	ADJ
ejpam-3619	102	13	+	+	PROPN
ejpam-3619	102	14	2βcoswh(1−	2βcoswh(1−	PROPN
ejpam-3619	102	15	β	β	NOUN
ejpam-3619	102	16	)	)	PUNCT
ejpam-3619	102	17	,	,	PUNCT
ejpam-3619	102	18	=	=	PUNCT
ejpam-3619	102	19	(	(	PUNCT
ejpam-3619	102	20	1−	1−	NUM
ejpam-3619	102	21	β)2	β)2	X
ejpam-3619	102	22	+	+	CCONJ
ejpam-3619	102	23	2β(1−	2β(1−	NUM
ejpam-3619	102	24	β)coswh+	β)coswh+	ADJ
ejpam-3619	102	25	β2	β2	NOUN
ejpam-3619	102	26	,	,	PUNCT
ejpam-3619	102	27	|r(wh)|2	|r(wh)|2	PROPN
ejpam-3619	102	28	=	=	PUNCT
ejpam-3619	102	29	|(1−	|(1−	NOUN
ejpam-3619	102	30	β)2	β)2	ADV
ejpam-3619	102	31	+	+	CCONJ
ejpam-3619	102	32	2β(1−	2β(1−	NUM
ejpam-3619	102	33	β)coswh|+	β)coswh|+	NOUN
ejpam-3619	102	34	β2	β2	NOUN
ejpam-3619	102	35	,	,	PUNCT
ejpam-3619	102	36	|r(wh)|2	|r(wh)|2	VERB
ejpam-3619	102	37	6	6	NUM
ejpam-3619	102	38	(	(	PUNCT
ejpam-3619	102	39	1−	1−	NUM
ejpam-3619	102	40	β)2	β)2	X
ejpam-3619	102	41	+	+	NOUN
ejpam-3619	102	42	2β|(1−	2β|(1−	NUM
ejpam-3619	102	43	β)|+	β)|+	NOUN
ejpam-3619	102	44	β2	β2	NOUN
ejpam-3619	102	45	=	=	PUNCT
ejpam-3619	103	1	[	[	X
ejpam-3619	103	2	(	(	PUNCT
ejpam-3619	103	3	1−	1−	NUM
ejpam-3619	103	4	β	β	NOUN
ejpam-3619	103	5	)	)	PUNCT
ejpam-3619	104	1	+	+	CCONJ
ejpam-3619	104	2	β]2	β]2	SYM
ejpam-3619	104	3	6	6	NUM
ejpam-3619	104	4	1	1	NUM
ejpam-3619	104	5	,	,	PUNCT
ejpam-3619	104	6	where	where	SCONJ
ejpam-3619	104	7	|r(wh)|	|r(wh)|	PUNCT
ejpam-3619	104	8	6	6	NUM
ejpam-3619	104	9	1	1	NUM
ejpam-3619	104	10	.	.	PUNCT
ejpam-3619	105	1	this	this	PRON
ejpam-3619	105	2	reflects	reflect	VERB
ejpam-3619	105	3	the	the	DET
ejpam-3619	105	4	analytical	analytical	ADJ
ejpam-3619	105	5	stability	stability	NOUN
ejpam-3619	105	6	in	in	ADP
ejpam-3619	105	7	l2([0	l2([0	ADJ
ejpam-3619	105	8	;	;	PUNCT
ejpam-3619	105	9	1	1	NUM
ejpam-3619	105	10	]	]	PUNCT
ejpam-3619	105	11	)	)	PUNCT
ejpam-3619	105	12	of	of	ADP
ejpam-3619	105	13	the	the	DET
ejpam-3619	105	14	finite	finite	ADJ
ejpam-3619	105	15	difference	difference	NOUN
ejpam-3619	105	16	method	method	NOUN
ejpam-3619	105	17	for	for	ADP
ejpam-3619	105	18	the	the	DET
ejpam-3619	105	19	transport	transport	NOUN
ejpam-3619	105	20	equation	equation	NOUN
ejpam-3619	105	21	.	.	PUNCT
ejpam-3619	106	1	d.v	d.v	PROPN
ejpam-3619	106	2	.	.	PROPN
ejpam-3619	106	3	pongui	pongui	PROPN
ejpam-3619	106	4	ngoma	ngoma	PROPN
ejpam-3619	106	5	,	,	PUNCT
ejpam-3619	106	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	106	7	,	,	PUNCT
ejpam-3619	106	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	106	9	,	,	PUNCT
ejpam-3619	106	10	n.	n.	PROPN
ejpam-3619	106	11	batangouna	batangouna	PROPN
ejpam-3619	106	12	/	/	SYM
ejpam-3619	106	13	eur	eur	PROPN
ejpam-3619	106	14	.	.	PUNCT
ejpam-3619	107	1	j.	j.	PROPN
ejpam-3619	107	2	pure	pure	PROPN
ejpam-3619	107	3	appl	appl	PROPN
ejpam-3619	107	4	.	.	PROPN
ejpam-3619	107	5	math	math	PROPN
ejpam-3619	107	6	,	,	PUNCT
ejpam-3619	107	7	13	13	NUM
ejpam-3619	107	8	(	(	PUNCT
ejpam-3619	107	9	1	1	NUM
ejpam-3619	107	10	)	)	PUNCT
ejpam-3619	107	11	(	(	PUNCT
ejpam-3619	107	12	2020	2020	NUM
ejpam-3619	107	13	)	)	PUNCT
ejpam-3619	107	14	,	,	PUNCT
ejpam-3619	107	15	144	144	NUM
ejpam-3619	107	16	-	-	SYM
ejpam-3619	107	17	157	157	NUM
ejpam-3619	107	18	151	151	NUM
ejpam-3619	107	19	4.2	4.2	NUM
ejpam-3619	107	20	.	.	PUNCT
ejpam-3619	108	1	analytical	analytical	ADJ
ejpam-3619	108	2	stability	stability	NOUN
ejpam-3619	108	3	in	in	ADP
ejpam-3619	108	4	l2([0	l2([0	ADJ
ejpam-3619	108	5	;	;	PUNCT
ejpam-3619	108	6	1	1	NUM
ejpam-3619	108	7	]	]	PUNCT
ejpam-3619	108	8	)	)	PUNCT
ejpam-3619	108	9	for	for	ADP
ejpam-3619	108	10	the	the	DET
ejpam-3619	108	11	lax	lax	ADJ
ejpam-3619	108	12	-	-	PUNCT
ejpam-3619	108	13	wendroff	wendroff	NOUN
ejpam-3619	108	14	method	method	NOUN
ejpam-3619	108	15	of	of	ADP
ejpam-3619	108	16	the	the	DET
ejpam-3619	108	17	transport	transport	NOUN
ejpam-3619	108	18	equation	equation	NOUN
ejpam-3619	108	19	we	we	PRON
ejpam-3619	108	20	shall	shall	AUX
ejpam-3619	108	21	want	want	VERB
ejpam-3619	108	22	to	to	PART
ejpam-3619	108	23	study	study	VERB
ejpam-3619	108	24	the	the	DET
ejpam-3619	108	25	analytical	analytical	ADJ
ejpam-3619	108	26	stability	stability	NOUN
ejpam-3619	108	27	in	in	ADP
ejpam-3619	108	28	l2([0	l2([0	ADJ
ejpam-3619	108	29	;	;	PUNCT
ejpam-3619	108	30	1	1	NUM
ejpam-3619	108	31	]	]	PUNCT
ejpam-3619	108	32	)	)	PUNCT
ejpam-3619	108	33	of	of	ADP
ejpam-3619	108	34	the	the	DET
ejpam-3619	108	35	lax	lax	ADJ
ejpam-3619	108	36	-	-	PUNCT
ejpam-3619	108	37	wendroff	wendroff	NOUN
ejpam-3619	108	38	method	method	NOUN
ejpam-3619	108	39	used	use	VERB
ejpam-3619	108	40	for	for	ADP
ejpam-3619	108	41	the	the	DET
ejpam-3619	108	42	advection	advection	NOUN
ejpam-3619	108	43	problem	problem	NOUN
ejpam-3619	108	44	.	.	PUNCT
ejpam-3619	109	1	thus	thus	ADV
ejpam-3619	109	2	let	let	VERB
ejpam-3619	109	3	us	we	PRON
ejpam-3619	109	4	use	use	VERB
ejpam-3619	109	5	the	the	DET
ejpam-3619	109	6	von	von	PROPN
ejpam-3619	109	7	-	-	PUNCT
ejpam-3619	109	8	neuman	neuman	NOUN
ejpam-3619	109	9	condition	condition	NOUN
ejpam-3619	109	10	.	.	PUNCT
ejpam-3619	110	1	the	the	DET
ejpam-3619	110	2	lax	lax	PROPN
ejpam-3619	110	3	-	-	PUNCT
ejpam-3619	110	4	wendroff	wendroff	NOUN
ejpam-3619	110	5	scheme	scheme	NOUN
ejpam-3619	110	6	for	for	ADP
ejpam-3619	110	7	the	the	DET
ejpam-3619	110	8	advection	advection	NOUN
ejpam-3619	110	9	equation	equation	NOUN
ejpam-3619	110	10	is	be	AUX
ejpam-3619	110	11	un+1	un+1	PROPN
ejpam-3619	110	12	j	j	PROPN
ejpam-3619	110	13	=	=	PROPN
ejpam-3619	110	14	unj	unj	PROPN
ejpam-3619	110	15	−	−	PROPN
ejpam-3619	110	16	λ	λ	PROPN
ejpam-3619	110	17	unj+1	unj+1	VERB
ejpam-3619	111	1	−	−	PROPN
ejpam-3619	111	2	unj−1	unj−1	PROPN
ejpam-3619	111	3	2	2	NUM
ejpam-3619	111	4	+	+	NUM
ejpam-3619	111	5	λ2	λ2	NOUN
ejpam-3619	111	6	unj−1	unj−1	PROPN
ejpam-3619	112	1	−	−	NUM
ejpam-3619	112	2	2unj	2unj	PROPN
ejpam-3619	112	3	+	+	CCONJ
ejpam-3619	112	4	unj+1	unj+1	PROPN
ejpam-3619	112	5	2	2	NUM
ejpam-3619	112	6	.	.	PUNCT
ejpam-3619	113	1	according	accord	VERB
ejpam-3619	113	2	to	to	ADP
ejpam-3619	113	3	the	the	DET
ejpam-3619	113	4	von	von	PROPN
ejpam-3619	113	5	-	-	PUNCT
ejpam-3619	113	6	neumann	neumann	PROPN
ejpam-3619	113	7	stability	stability	NOUN
ejpam-3619	113	8	criterion	criterion	NOUN
ejpam-3619	113	9	:	:	PUNCT
ejpam-3619	113	10	a	a	DET
ejpam-3619	113	11	=	=	X
ejpam-3619	113	12	un+1	un+1	PROPN
ejpam-3619	113	13	un	un	PROPN
ejpam-3619	113	14	(	(	PUNCT
ejpam-3619	113	15	12	12	NUM
ejpam-3619	113	16	)	)	PUNCT
ejpam-3619	113	17	un+1	un+1	PROPN
ejpam-3619	113	18	un	un	PROPN
ejpam-3619	113	19	=	=	PROPN
ejpam-3619	113	20	unj	unj	NOUN
ejpam-3619	113	21	−	−	PROPN
ejpam-3619	113	22	λ	λ	PROPN
ejpam-3619	113	23	2	2	NUM
ejpam-3619	113	24	(	(	PUNCT
ejpam-3619	113	25	unj+1	unj+1	NOUN
ejpam-3619	113	26	−	−	PROPN
ejpam-3619	113	27	unj−1	unj−1	PROPN
ejpam-3619	113	28	)	)	PUNCT
ejpam-3619	114	1	+	+	NUM
ejpam-3619	114	2	λ2	λ2	NOUN
ejpam-3619	114	3	2	2	NUM
ejpam-3619	114	4	(	(	PUNCT
ejpam-3619	114	5	unj−1	unj−1	PROPN
ejpam-3619	114	6	−	−	NUM
ejpam-3619	114	7	2unj	2unj	PROPN
ejpam-3619	114	8	+	+	CCONJ
ejpam-3619	114	9	unj+1	unj+1	NOUN
ejpam-3619	114	10	)	)	PUNCT
ejpam-3619	114	11	un	un	PROPN
ejpam-3619	114	12	,	,	PUNCT
ejpam-3619	114	13	=	=	PRON
ejpam-3619	114	14	(	(	PUNCT
ejpam-3619	114	15	λ	λ	X
ejpam-3619	114	16	2	2	NUM
ejpam-3619	114	17	2	2	NUM
ejpam-3619	114	18	+	+	NUM
ejpam-3619	114	19	λ	λ	NOUN
ejpam-3619	114	20	2	2	NUM
ejpam-3619	114	21	)	)	PUNCT
ejpam-3619	114	22	unj−1	unj−1	PROPN
ejpam-3619	115	1	+	+	CCONJ
ejpam-3619	115	2	(	(	PUNCT
ejpam-3619	115	3	1−	1−	NUM
ejpam-3619	115	4	λ2)unj	λ2)unj	X
ejpam-3619	116	1	+	+	CCONJ
ejpam-3619	116	2	(	(	PUNCT
ejpam-3619	116	3	λ	λ	X
ejpam-3619	116	4	2	2	NUM
ejpam-3619	116	5	2	2	NUM
ejpam-3619	116	6	−	−	NOUN
ejpam-3619	116	7	λ	λ	NOUN
ejpam-3619	116	8	2	2	NUM
ejpam-3619	116	9	)	)	PUNCT
ejpam-3619	116	10	unj+1	unj+1	PROPN
ejpam-3619	116	11	un	un	PROPN
ejpam-3619	116	12	.	.	PUNCT
ejpam-3619	117	1	let	let	VERB
ejpam-3619	117	2	us	we	PRON
ejpam-3619	117	3	take	take	VERB
ejpam-3619	117	4	two	two	NUM
ejpam-3619	117	5	mode	mode	NOUN
ejpam-3619	117	6	values	value	NOUN
ejpam-3619	117	7	of	of	ADP
ejpam-3619	117	8	the	the	DET
ejpam-3619	117	9	exact	exact	ADJ
ejpam-3619	117	10	and	and	CCONJ
ejpam-3619	117	11	discrete	discrete	ADJ
ejpam-3619	117	12	operators	operator	NOUN
ejpam-3619	117	13	eik∆x	eik∆x	PUNCT
ejpam-3619	117	14	and	and	CCONJ
ejpam-3619	117	15	eikj∆x	eikj∆x	NOUN
ejpam-3619	117	16	respectively	respectively	ADV
ejpam-3619	117	17	.	.	PUNCT
ejpam-3619	118	1	let	let	AUX
ejpam-3619	118	2	be	be	AUX
ejpam-3619	118	3	unj	unj	ADJ
ejpam-3619	118	4	=	=	SYM
ejpam-3619	118	5	eikj∆xunk	eikj∆xunk	NOUN
ejpam-3619	118	6	equation	equation	NOUN
ejpam-3619	118	7	(	(	PUNCT
ejpam-3619	118	8	12	12	NUM
ejpam-3619	118	9	)	)	PUNCT
ejpam-3619	118	10	then	then	ADV
ejpam-3619	118	11	becomes	become	VERB
ejpam-3619	118	12	a	a	DET
ejpam-3619	118	13	=	=	PUNCT
ejpam-3619	118	14	(	(	PUNCT
ejpam-3619	118	15	λ	λ	X
ejpam-3619	118	16	2	2	NUM
ejpam-3619	118	17	2	2	NUM
ejpam-3619	118	18	+	+	NUM
ejpam-3619	118	19	λ	λ	PROPN
ejpam-3619	118	20	2	2	NUM
ejpam-3619	118	21	)	)	PUNCT
ejpam-3619	118	22	unk	unk	NOUN
ejpam-3619	118	23	.e	.e	NOUN
ejpam-3619	118	24	ik(j−1)∆x	ik(j−1)∆x	NOUN
ejpam-3619	119	1	+	+	CCONJ
ejpam-3619	119	2	(	(	PUNCT
ejpam-3619	119	3	1−	1−	NUM
ejpam-3619	119	4	λ2)unk	λ2)unk	NOUN
ejpam-3619	119	5	.e	.e	NOUN
ejpam-3619	119	6	ikj∆x	ikj∆x	NOUN
ejpam-3619	120	1	+	+	CCONJ
ejpam-3619	120	2	(	(	PUNCT
ejpam-3619	120	3	λ	λ	X
ejpam-3619	120	4	2	2	NUM
ejpam-3619	120	5	2	2	NUM
ejpam-3619	120	6	−	−	NOUN
ejpam-3619	120	7	λ	λ	NOUN
ejpam-3619	120	8	2	2	NUM
ejpam-3619	120	9	)	)	PUNCT
ejpam-3619	120	10	unk	unk	NOUN
ejpam-3619	120	11	.e	.e	PUNCT
ejpam-3619	121	1	ik(j+1)∆x	ik(j+1)∆x	PROPN
ejpam-3619	121	2	unk	unk	NOUN
ejpam-3619	121	3	.e	.e	NOUN
ejpam-3619	121	4	ikj∆x	ikj∆x	NOUN
ejpam-3619	121	5	,	,	PUNCT
ejpam-3619	121	6	=	=	PRON
ejpam-3619	121	7	(	(	PUNCT
ejpam-3619	121	8	λ	λ	X
ejpam-3619	121	9	2	2	NUM
ejpam-3619	121	10	2	2	NUM
ejpam-3619	121	11	+	+	NUM
ejpam-3619	121	12	λ	λ	PROPN
ejpam-3619	121	13	2	2	NUM
ejpam-3619	121	14	)	)	PUNCT
ejpam-3619	121	15	unk	unk	NOUN
ejpam-3619	121	16	.e	.e	NOUN
ejpam-3619	122	1	ikj∆xe−ik∆x	ikj∆xe−ik∆x	PUNCT
ejpam-3619	122	2	+	+	CCONJ
ejpam-3619	122	3	(	(	PUNCT
ejpam-3619	122	4	1−	1−	NUM
ejpam-3619	122	5	λ2)unk	λ2)unk	NOUN
ejpam-3619	122	6	.e	.e	NOUN
ejpam-3619	122	7	ikj∆x	ikj∆x	NOUN
ejpam-3619	123	1	+	+	CCONJ
ejpam-3619	123	2	(	(	PUNCT
ejpam-3619	123	3	λ	λ	X
ejpam-3619	123	4	2	2	NUM
ejpam-3619	123	5	2	2	NUM
ejpam-3619	123	6	−	−	NOUN
ejpam-3619	123	7	λ	λ	NOUN
ejpam-3619	123	8	2	2	NUM
ejpam-3619	123	9	)	)	PUNCT
ejpam-3619	123	10	unk	unk	NOUN
ejpam-3619	123	11	.e	.e	PUNCT
ejpam-3619	124	1	ikj∆xeik∆x	ikj∆xeik∆x	VERB
ejpam-3619	124	2	unk	unk	NOUN
ejpam-3619	124	3	.e	.e	NOUN
ejpam-3619	124	4	ikj∆x	ikj∆x	NOUN
ejpam-3619	124	5	,	,	PUNCT
ejpam-3619	124	6	=	=	PUNCT
ejpam-3619	124	7	[	[	PUNCT
ejpam-3619	124	8	(	(	PUNCT
ejpam-3619	124	9	λ	λ	NOUN
ejpam-3619	124	10	2	2	NUM
ejpam-3619	124	11	2	2	NUM
ejpam-3619	124	12	+	+	NUM
ejpam-3619	124	13	λ	λ	NOUN
ejpam-3619	124	14	2	2	NUM
ejpam-3619	124	15	)	)	PUNCT
ejpam-3619	124	16	e−ik∆x	e−ik∆x	PROPN
ejpam-3619	124	17	+	+	CCONJ
ejpam-3619	124	18	(	(	PUNCT
ejpam-3619	124	19	1−	1−	NUM
ejpam-3619	124	20	λ2	λ2	NOUN
ejpam-3619	124	21	)	)	PUNCT
ejpam-3619	124	22	+	+	CCONJ
ejpam-3619	124	23	(	(	PUNCT
ejpam-3619	124	24	λ	λ	X
ejpam-3619	124	25	2	2	NUM
ejpam-3619	124	26	2	2	NUM
ejpam-3619	124	27	−	−	NOUN
ejpam-3619	124	28	λ	λ	NOUN
ejpam-3619	124	29	2	2	NUM
ejpam-3619	124	30	)	)	PUNCT
ejpam-3619	124	31	eik∆x	eik∆x	X
ejpam-3619	124	32	]	]	PUNCT
ejpam-3619	124	33	unk	unk	NOUN
ejpam-3619	124	34	.e	.e	NOUN
ejpam-3619	124	35	ikj∆x	ikj∆x	PROPN
ejpam-3619	124	36	unk	unk	NOUN
ejpam-3619	124	37	.e	.e	NOUN
ejpam-3619	124	38	ikj∆x	ikj∆x	NOUN
ejpam-3619	124	39	.	.	PUNCT
ejpam-3619	125	1	after	after	ADP
ejpam-3619	125	2	simplification	simplification	NOUN
ejpam-3619	125	3	,	,	PUNCT
ejpam-3619	125	4	we	we	PRON
ejpam-3619	125	5	obtain	obtain	VERB
ejpam-3619	125	6	a	a	DET
ejpam-3619	125	7	=	=	X
ejpam-3619	125	8	λ2cos(k∆x)−	λ2cos(k∆x)−	PROPN
ejpam-3619	125	9	iλsin(k∆x	iλsin(k∆x	PUNCT
ejpam-3619	125	10	)	)	PUNCT
ejpam-3619	126	1	+	+	CCONJ
ejpam-3619	126	2	1−	1−	NUM
ejpam-3619	126	3	λ2	λ2	NOUN
ejpam-3619	126	4	,	,	PUNCT
ejpam-3619	126	5	a	a	DET
ejpam-3619	126	6	=	=	SYM
ejpam-3619	126	7	1−	1−	NUM
ejpam-3619	126	8	λ2[1−	λ2[1−	NOUN
ejpam-3619	126	9	cos(k∆x)]−	cos(k∆x)]−	ADV
ejpam-3619	126	10	iλsin(k∆x	iλsin(k∆x	PUNCT
ejpam-3619	126	11	)	)	PUNCT
ejpam-3619	126	12	.	.	PUNCT
ejpam-3619	127	1	by	by	ADP
ejpam-3619	127	2	taking	take	VERB
ejpam-3619	127	3	the	the	DET
ejpam-3619	127	4	semi	semi	NOUN
ejpam-3619	127	5	-	-	NOUN
ejpam-3619	127	6	norm	norm	NOUN
ejpam-3619	127	7	of	of	ADP
ejpam-3619	127	8	a	a	DET
ejpam-3619	127	9	|a|	|a|	PROPN
ejpam-3619	127	10	=	=	SYM
ejpam-3619	127	11	∣∣1−	∣∣1−	PROPN
ejpam-3619	127	12	λ2[1−	λ2[1−	NOUN
ejpam-3619	127	13	cos(k∆x)]−	cos(k∆x)]−	ADV
ejpam-3619	127	14	iλsin(k∆x	iλsin(k∆x	PUNCT
ejpam-3619	127	15	)	)	PUNCT
ejpam-3619	127	16	∣∣	∣∣	NUM
ejpam-3619	127	17	,	,	PUNCT
ejpam-3619	127	18	d.v	d.v	PROPN
ejpam-3619	127	19	.	.	PROPN
ejpam-3619	127	20	pongui	pongui	PROPN
ejpam-3619	127	21	ngoma	ngoma	PROPN
ejpam-3619	127	22	,	,	PUNCT
ejpam-3619	127	23	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	127	24	,	,	PUNCT
ejpam-3619	127	25	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	127	26	,	,	PUNCT
ejpam-3619	127	27	n.	n.	PROPN
ejpam-3619	127	28	batangouna	batangouna	PROPN
ejpam-3619	127	29	/	/	SYM
ejpam-3619	127	30	eur	eur	PROPN
ejpam-3619	127	31	.	.	PUNCT
ejpam-3619	128	1	j.	j.	PROPN
ejpam-3619	128	2	pure	pure	PROPN
ejpam-3619	128	3	appl	appl	PROPN
ejpam-3619	128	4	.	.	PROPN
ejpam-3619	128	5	math	math	PROPN
ejpam-3619	128	6	,	,	PUNCT
ejpam-3619	128	7	13	13	NUM
ejpam-3619	128	8	(	(	PUNCT
ejpam-3619	128	9	1	1	NUM
ejpam-3619	128	10	)	)	PUNCT
ejpam-3619	128	11	(	(	PUNCT
ejpam-3619	128	12	2020	2020	NUM
ejpam-3619	128	13	)	)	PUNCT
ejpam-3619	128	14	,	,	PUNCT
ejpam-3619	128	15	144	144	NUM
ejpam-3619	128	16	-	-	SYM
ejpam-3619	128	17	157	157	NUM
ejpam-3619	128	18	152	152	NUM
ejpam-3619	128	19	|a|2	|a|2	PROPN
ejpam-3619	128	20	=	=	SYM
ejpam-3619	128	21	∣∣1−	∣∣1−	PROPN
ejpam-3619	128	22	λ2[1−	λ2[1−	NOUN
ejpam-3619	128	23	cos(k∆x	cos(k∆x	VERB
ejpam-3619	128	24	)	)	PUNCT
ejpam-3619	128	25	]	]	PUNCT
ejpam-3619	128	26	∣∣2	∣∣2	PROPN
ejpam-3619	128	27	+	+	CCONJ
ejpam-3619	128	28	λ2sin2(k∆x	λ2sin2(k∆x	PROPN
ejpam-3619	128	29	)	)	PUNCT
ejpam-3619	128	30	,	,	PUNCT
ejpam-3619	128	31	|a|	|a|	NOUN
ejpam-3619	128	32	6	6	NUM
ejpam-3619	128	33	1	1	NUM
ejpam-3619	128	34	,	,	PUNCT
ejpam-3619	128	35	because	because	SCONJ
ejpam-3619	128	36	1−	1−	NUM
ejpam-3619	128	37	λ2	λ2	NOUN
ejpam-3619	128	38	>	>	X
ejpam-3619	128	39	0	0	NUM
ejpam-3619	128	40	,	,	PUNCT
ejpam-3619	128	41	λ2	λ2	NOUN
ejpam-3619	128	42	6	6	NUM
ejpam-3619	128	43	1	1	NUM
ejpam-3619	128	44	.	.	PUNCT
ejpam-3619	129	1	thus	thus	ADV
ejpam-3619	129	2	,	,	PUNCT
ejpam-3619	129	3	the	the	DET
ejpam-3619	129	4	scheme	scheme	NOUN
ejpam-3619	129	5	is	be	AUX
ejpam-3619	129	6	stable	stable	ADJ
ejpam-3619	129	7	in	in	ADP
ejpam-3619	129	8	the	the	DET
ejpam-3619	129	9	l2([0	l2([0	PROPN
ejpam-3619	129	10	,	,	PUNCT
ejpam-3619	129	11	1	1	NUM
ejpam-3619	129	12	]	]	PUNCT
ejpam-3619	129	13	)	)	PUNCT
ejpam-3619	129	14	norm	norm	NOUN
ejpam-3619	129	15	for	for	ADP
ejpam-3619	129	16	the	the	DET
ejpam-3619	129	17	lax	lax	ADJ
ejpam-3619	129	18	-	-	PUNCT
ejpam-3619	129	19	wendroff	wendroff	NOUN
ejpam-3619	129	20	method	method	NOUN
ejpam-3619	129	21	of	of	ADP
ejpam-3619	129	22	the	the	DET
ejpam-3619	129	23	cfl	cfl	NOUN
ejpam-3619	129	24	transport	transport	NOUN
ejpam-3619	129	25	equation	equation	NOUN
ejpam-3619	129	26	λ	λ	PROPN
ejpam-3619	129	27	6	6	NUM
ejpam-3619	129	28	1	1	NUM
ejpam-3619	129	29	[	[	X
ejpam-3619	129	30	4	4	NUM
ejpam-3619	129	31	,	,	PUNCT
ejpam-3619	129	32	8	8	NUM
ejpam-3619	129	33	]	]	PUNCT
ejpam-3619	129	34	.	.	PUNCT
ejpam-3619	130	1	4.3	4.3	NUM
ejpam-3619	130	2	.	.	PUNCT
ejpam-3619	130	3	analytical	analytical	ADJ
ejpam-3619	130	4	stability	stability	NOUN
ejpam-3619	130	5	in	in	ADP
ejpam-3619	130	6	l∞([0	l∞([0	PROPN
ejpam-3619	130	7	;	;	PUNCT
ejpam-3619	130	8	1	1	NUM
ejpam-3619	130	9	]	]	PUNCT
ejpam-3619	130	10	)	)	PUNCT
ejpam-3619	130	11	for	for	ADP
ejpam-3619	130	12	the	the	DET
ejpam-3619	130	13	finite	finite	ADJ
ejpam-3619	130	14	difference	difference	NOUN
ejpam-3619	130	15	method	method	NOUN
ejpam-3619	130	16	of	of	ADP
ejpam-3619	130	17	the	the	DET
ejpam-3619	130	18	transport	transport	NOUN
ejpam-3619	130	19	equation	equation	NOUN
ejpam-3619	130	20	we	we	PRON
ejpam-3619	130	21	may	may	AUX
ejpam-3619	130	22	now	now	ADV
ejpam-3619	130	23	study	study	VERB
ejpam-3619	130	24	the	the	DET
ejpam-3619	130	25	analytical	analytical	ADJ
ejpam-3619	130	26	stability	stability	NOUN
ejpam-3619	130	27	in	in	ADP
ejpam-3619	130	28	l∞([0	l∞([0	PROPN
ejpam-3619	130	29	;	;	PUNCT
ejpam-3619	130	30	1	1	NUM
ejpam-3619	130	31	]	]	PUNCT
ejpam-3619	130	32	)	)	PUNCT
ejpam-3619	130	33	of	of	ADP
ejpam-3619	130	34	the	the	DET
ejpam-3619	130	35	finite	finite	ADJ
ejpam-3619	130	36	difference	difference	NOUN
ejpam-3619	130	37	method	method	NOUN
ejpam-3619	130	38	used	use	VERB
ejpam-3619	130	39	for	for	ADP
ejpam-3619	130	40	the	the	DET
ejpam-3619	130	41	advection	advection	NOUN
ejpam-3619	130	42	problem	problem	NOUN
ejpam-3619	130	43	.	.	PUNCT
ejpam-3619	131	1	let	let	VERB
ejpam-3619	131	2	us	we	PRON
ejpam-3619	131	3	then	then	ADV
ejpam-3619	131	4	use	use	VERB
ejpam-3619	131	5	,	,	PUNCT
ejpam-3619	131	6	the	the	DET
ejpam-3619	131	7	maximum	maximum	ADJ
ejpam-3619	131	8	principe	principe	NOUN
ejpam-3619	131	9	.	.	PUNCT
ejpam-3619	132	1	considering	consider	VERB
ejpam-3619	132	2	the	the	DET
ejpam-3619	132	3	linear	linear	ADJ
ejpam-3619	132	4	interpolation	interpolation	NOUN
ejpam-3619	132	5	between	between	ADP
ejpam-3619	132	6	unj−1	unj−1	PROPN
ejpam-3619	132	7	and	and	CCONJ
ejpam-3619	132	8	unj	unj	NOUN
ejpam-3619	132	9	of	of	ADP
ejpam-3619	132	10	the	the	DET
ejpam-3619	132	11	equation	equation	NOUN
ejpam-3619	132	12	(	(	PUNCT
ejpam-3619	132	13	4	4	NUM
ejpam-3619	132	14	)	)	PUNCT
ejpam-3619	132	15	,	,	PUNCT
ejpam-3619	132	16	we	we	PRON
ejpam-3619	132	17	then	then	ADV
ejpam-3619	132	18	get	get	VERB
ejpam-3619	132	19	un+1	un+1	PROPN
ejpam-3619	132	20	j	j	NOUN
ejpam-3619	132	21	=	=	SYM
ejpam-3619	132	22	βunj−1	βunj−1	PROPN
ejpam-3619	133	1	+	+	CCONJ
ejpam-3619	133	2	(	(	PUNCT
ejpam-3619	133	3	1−	1−	NUM
ejpam-3619	133	4	β)unj	β)unj	NOUN
ejpam-3619	133	5	6	6	NUM
ejpam-3619	133	6	max	max	PROPN
ejpam-3619	133	7	j∈z	j∈z	NOUN
ejpam-3619	133	8	(	(	PUNCT
ejpam-3619	133	9	unj−1	unj−1	PROPN
ejpam-3619	133	10	,	,	PUNCT
ejpam-3619	133	11	u	u	NOUN
ejpam-3619	133	12	n	n	PROPN
ejpam-3619	133	13	j	j	PROPN
ejpam-3619	133	14	)	)	PUNCT
ejpam-3619	133	15	,	,	PUNCT
ejpam-3619	133	16	therefore	therefore	ADV
ejpam-3619	133	17	:	:	PUNCT
ejpam-3619	133	18	un+1	un+1	PROPN
ejpam-3619	133	19	j	j	PROPN
ejpam-3619	133	20	6	6	NUM
ejpam-3619	133	21	max	max	PROPN
ejpam-3619	133	22	j∈z	j∈z	NOUN
ejpam-3619	133	23	(	(	PUNCT
ejpam-3619	133	24	unj−1	unj−1	PROPN
ejpam-3619	133	25	,	,	PUNCT
ejpam-3619	133	26	u	u	NOUN
ejpam-3619	133	27	n	n	PRON
ejpam-3619	133	28	j	j	PROPN
ejpam-3619	133	29	)	)	PUNCT
ejpam-3619	133	30	.	.	PUNCT
ejpam-3619	134	1	by	by	ADP
ejpam-3619	134	2	passing	pass	VERB
ejpam-3619	134	3	to	to	ADP
ejpam-3619	134	4	semi	semi	ADJ
ejpam-3619	134	5	-	-	ADJ
ejpam-3619	134	6	norm	norm	ADJ
ejpam-3619	134	7	and	and	CCONJ
ejpam-3619	134	8	supremum	supremum	ADJ
ejpam-3619	134	9	,	,	PUNCT
ejpam-3619	134	10	we	we	PRON
ejpam-3619	134	11	obtain	obtain	VERB
ejpam-3619	134	12	|un+1	|un+1	ADJ
ejpam-3619	134	13	j	j	NOUN
ejpam-3619	135	1	|	|	ADV
ejpam-3619	135	2	6	6	NUM
ejpam-3619	135	3	max	max	PROPN
ejpam-3619	135	4	j∈z	j∈z	NOUN
ejpam-3619	135	5	(	(	PUNCT
ejpam-3619	135	6	|unj−1|	|unj−1|	PROPN
ejpam-3619	135	7	,	,	PUNCT
ejpam-3619	135	8	|unj	|unj	NOUN
ejpam-3619	135	9	)	)	PUNCT
ejpam-3619	135	10	|	|	ADV
ejpam-3619	135	11	)	)	PUNCT
ejpam-3619	135	12	,	,	PUNCT
ejpam-3619	135	13	sup|un+1	sup|un+1	VERB
ejpam-3619	135	14	j	j	PROPN
ejpam-3619	135	15	|	|	ADV
ejpam-3619	135	16	6	6	NUM
ejpam-3619	135	17	sup	sup	NOUN
ejpam-3619	135	18	max	max	PROPN
ejpam-3619	135	19	j∈z	j∈z	PROPN
ejpam-3619	135	20	(	(	PUNCT
ejpam-3619	135	21	|unj−1|	|unj−1|	PROPN
ejpam-3619	135	22	,	,	PUNCT
ejpam-3619	135	23	|unj	|unj	NOUN
ejpam-3619	135	24	)	)	PUNCT
ejpam-3619	135	25	|	|	ADV
ejpam-3619	135	26	)	)	PUNCT
ejpam-3619	135	27	,	,	PUNCT
ejpam-3619	135	28	‖	‖	PROPN
ejpam-3619	135	29	un+1	un+1	PROPN
ejpam-3619	135	30	‖∞6‖	‖∞6‖	AUX
ejpam-3619	135	31	un	un	PROPN
ejpam-3619	135	32	‖∞	‖∞	PROPN
ejpam-3619	135	33	.	.	PUNCT
ejpam-3619	136	1	by	by	ADP
ejpam-3619	136	2	simple	simple	ADJ
ejpam-3619	136	3	recurrence	recurrence	NOUN
ejpam-3619	136	4	,	,	PUNCT
ejpam-3619	136	5	we	we	PRON
ejpam-3619	136	6	have	have	VERB
ejpam-3619	136	7	for	for	ADP
ejpam-3619	136	8	n	n	NOUN
ejpam-3619	136	9	=	=	SYM
ejpam-3619	136	10	0	0	NUM
ejpam-3619	136	11	,	,	PUNCT
ejpam-3619	136	12	‖	‖	ADJ
ejpam-3619	136	13	u1	u1	NOUN
ejpam-3619	136	14	‖∞6‖	‖∞6‖	AUX
ejpam-3619	136	15	u0	u0	VERB
ejpam-3619	136	16	‖∞	‖∞	PROPN
ejpam-3619	136	17	for	for	ADP
ejpam-3619	136	18	n	n	NOUN
ejpam-3619	136	19	=	=	SYM
ejpam-3619	136	20	1	1	NUM
ejpam-3619	136	21	,	,	PUNCT
ejpam-3619	136	22	‖	‖	ADJ
ejpam-3619	136	23	u2	u2	PROPN
ejpam-3619	136	24	‖∞6‖	‖∞6‖	AUX
ejpam-3619	136	25	u1	u1	NOUN
ejpam-3619	136	26	‖∞6‖	‖∞6‖	AUX
ejpam-3619	136	27	u0	u0	VERB
ejpam-3619	136	28	‖∞	‖∞	PROPN
ejpam-3619	136	29	for	for	ADP
ejpam-3619	136	30	n	n	NOUN
ejpam-3619	136	31	=	=	SYM
ejpam-3619	136	32	2	2	NUM
ejpam-3619	136	33	,	,	PUNCT
ejpam-3619	136	34	‖	‖	ADJ
ejpam-3619	136	35	u3	u3	NOUN
ejpam-3619	136	36	‖∞6‖	‖∞6‖	AUX
ejpam-3619	136	37	u2	u2	PROPN
ejpam-3619	136	38	‖∞6‖	‖∞6‖	AUX
ejpam-3619	136	39	u0	u0	VERB
ejpam-3619	136	40	‖∞	‖∞	PROPN
ejpam-3619	136	41	...	...	PUNCT
ejpam-3619	136	42	at	at	ADP
ejpam-3619	136	43	rank	rank	PROPN
ejpam-3619	136	44	n	n	CCONJ
ejpam-3619	136	45	,	,	PUNCT
ejpam-3619	136	46	‖	‖	PROPN
ejpam-3619	136	47	un	un	PROPN
ejpam-3619	136	48	‖∞6‖	‖∞6‖	AUX
ejpam-3619	136	49	u0	u0	VERB
ejpam-3619	136	50	‖∞=	‖∞=	PROPN
ejpam-3619	137	1	c	c	PROPN
ejpam-3619	137	2	then	then	ADV
ejpam-3619	137	3	‖	‖	PROPN
ejpam-3619	137	4	un	un	PROPN
ejpam-3619	137	5	‖∞6	‖∞6	PROPN
ejpam-3619	137	6	c	c	PROPN
ejpam-3619	137	7	(	(	PUNCT
ejpam-3619	137	8	c	c	NOUN
ejpam-3619	137	9	constant	constant	ADJ
ejpam-3619	137	10	)	)	PUNCT
ejpam-3619	137	11	.	.	PUNCT
ejpam-3619	138	1	which	which	PRON
ejpam-3619	138	2	proves	prove	VERB
ejpam-3619	138	3	the	the	DET
ejpam-3619	138	4	analytical	analytical	ADJ
ejpam-3619	138	5	stability	stability	NOUN
ejpam-3619	138	6	in	in	ADP
ejpam-3619	138	7	l∞([0	l∞([0	PROPN
ejpam-3619	138	8	;	;	PUNCT
ejpam-3619	138	9	1	1	NUM
ejpam-3619	138	10	]	]	PUNCT
ejpam-3619	138	11	)	)	PUNCT
ejpam-3619	138	12	for	for	ADP
ejpam-3619	138	13	the	the	DET
ejpam-3619	138	14	finite	finite	ADJ
ejpam-3619	138	15	difference	difference	NOUN
ejpam-3619	138	16	method	method	NOUN
ejpam-3619	138	17	of	of	ADP
ejpam-3619	138	18	the	the	DET
ejpam-3619	138	19	transport	transport	NOUN
ejpam-3619	138	20	equation	equation	NOUN
ejpam-3619	138	21	.	.	PUNCT
ejpam-3619	139	1	d.v	d.v	PROPN
ejpam-3619	139	2	.	.	PROPN
ejpam-3619	139	3	pongui	pongui	PROPN
ejpam-3619	139	4	ngoma	ngoma	PROPN
ejpam-3619	139	5	,	,	PUNCT
ejpam-3619	139	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	139	7	,	,	PUNCT
ejpam-3619	139	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	139	9	,	,	PUNCT
ejpam-3619	139	10	n.	n.	PROPN
ejpam-3619	139	11	batangouna	batangouna	PROPN
ejpam-3619	139	12	/	/	SYM
ejpam-3619	139	13	eur	eur	PROPN
ejpam-3619	139	14	.	.	PUNCT
ejpam-3619	140	1	j.	j.	PROPN
ejpam-3619	140	2	pure	pure	PROPN
ejpam-3619	140	3	appl	appl	PROPN
ejpam-3619	140	4	.	.	PROPN
ejpam-3619	140	5	math	math	PROPN
ejpam-3619	140	6	,	,	PUNCT
ejpam-3619	140	7	13	13	NUM
ejpam-3619	140	8	(	(	PUNCT
ejpam-3619	140	9	1	1	NUM
ejpam-3619	140	10	)	)	PUNCT
ejpam-3619	140	11	(	(	PUNCT
ejpam-3619	140	12	2020	2020	NUM
ejpam-3619	140	13	)	)	PUNCT
ejpam-3619	140	14	,	,	PUNCT
ejpam-3619	140	15	144	144	NUM
ejpam-3619	140	16	-	-	SYM
ejpam-3619	140	17	157	157	NUM
ejpam-3619	140	18	153	153	NUM
ejpam-3619	140	19	4.4	4.4	NUM
ejpam-3619	140	20	.	.	PUNCT
ejpam-3619	141	1	analytical	analytical	ADJ
ejpam-3619	141	2	stability	stability	NOUN
ejpam-3619	141	3	in	in	ADP
ejpam-3619	141	4	l∞([0	l∞([0	PROPN
ejpam-3619	141	5	;	;	PUNCT
ejpam-3619	141	6	1	1	NUM
ejpam-3619	141	7	]	]	PUNCT
ejpam-3619	141	8	)	)	PUNCT
ejpam-3619	141	9	for	for	ADP
ejpam-3619	141	10	the	the	DET
ejpam-3619	141	11	lax	lax	ADJ
ejpam-3619	141	12	-	-	PUNCT
ejpam-3619	141	13	wendroff	wendroff	NOUN
ejpam-3619	141	14	method	method	NOUN
ejpam-3619	141	15	of	of	ADP
ejpam-3619	141	16	the	the	DET
ejpam-3619	141	17	transport	transport	NOUN
ejpam-3619	141	18	equation	equation	NOUN
ejpam-3619	141	19	we	we	PRON
ejpam-3619	141	20	may	may	AUX
ejpam-3619	141	21	now	now	ADV
ejpam-3619	141	22	study	study	VERB
ejpam-3619	141	23	the	the	DET
ejpam-3619	141	24	analytical	analytical	ADJ
ejpam-3619	141	25	stability	stability	NOUN
ejpam-3619	141	26	in	in	ADP
ejpam-3619	141	27	l∞([0	l∞([0	PROPN
ejpam-3619	141	28	;	;	PUNCT
ejpam-3619	141	29	1	1	NUM
ejpam-3619	141	30	]	]	PUNCT
ejpam-3619	141	31	)	)	PUNCT
ejpam-3619	141	32	of	of	ADP
ejpam-3619	141	33	the	the	DET
ejpam-3619	141	34	finite	finite	ADJ
ejpam-3619	141	35	difference	difference	NOUN
ejpam-3619	141	36	method	method	NOUN
ejpam-3619	141	37	used	use	VERB
ejpam-3619	141	38	for	for	ADP
ejpam-3619	141	39	the	the	DET
ejpam-3619	141	40	advection	advection	NOUN
ejpam-3619	141	41	problem	problem	NOUN
ejpam-3619	141	42	.	.	PUNCT
ejpam-3619	142	1	we	we	PRON
ejpam-3619	142	2	may	may	AUX
ejpam-3619	142	3	then	then	ADV
ejpam-3619	142	4	use	use	VERB
ejpam-3619	142	5	the	the	DET
ejpam-3619	142	6	maximum	maximum	ADJ
ejpam-3619	142	7	principe	principe	NOUN
ejpam-3619	142	8	.	.	PUNCT
ejpam-3619	143	1	considering	consider	VERB
ejpam-3619	143	2	the	the	DET
ejpam-3619	143	3	linear	linear	ADJ
ejpam-3619	143	4	interpolation	interpolation	NOUN
ejpam-3619	143	5	between	between	ADP
ejpam-3619	143	6	unj−1	unj−1	PROPN
ejpam-3619	143	7	,	,	PUNCT
ejpam-3619	143	8	unj	unj	NOUN
ejpam-3619	143	9	and	and	CCONJ
ejpam-3619	143	10	unj+1	unj+1	NOUN
ejpam-3619	143	11	of	of	ADP
ejpam-3619	143	12	the	the	DET
ejpam-3619	143	13	equation	equation	NOUN
ejpam-3619	143	14	(	(	PUNCT
ejpam-3619	143	15	7	7	NUM
ejpam-3619	143	16	)	)	PUNCT
ejpam-3619	143	17	,	,	PUNCT
ejpam-3619	143	18	we	we	PRON
ejpam-3619	143	19	have	have	VERB
ejpam-3619	143	20	:	:	PUNCT
ejpam-3619	143	21	un+1	un+1	PROPN
ejpam-3619	143	22	j	j	PROPN
ejpam-3619	143	23	=	=	SYM
ejpam-3619	143	24	(	(	PUNCT
ejpam-3619	143	25	1−	1−	NUM
ejpam-3619	143	26	λ2)unj	λ2)unj	X
ejpam-3619	143	27	+	+	CCONJ
ejpam-3619	143	28	(	(	PUNCT
ejpam-3619	143	29	λ2	λ2	NOUN
ejpam-3619	143	30	2	2	NUM
ejpam-3619	143	31	+	+	NUM
ejpam-3619	143	32	λ	λ	NOUN
ejpam-3619	143	33	2	2	NUM
ejpam-3619	143	34	)	)	PUNCT
ejpam-3619	143	35	unj−1	unj−1	PROPN
ejpam-3619	144	1	+	+	CCONJ
ejpam-3619	144	2	(	(	PUNCT
ejpam-3619	144	3	λ2	λ2	NOUN
ejpam-3619	144	4	2	2	NUM
ejpam-3619	144	5	−	−	NOUN
ejpam-3619	144	6	λ	λ	NOUN
ejpam-3619	144	7	2	2	NUM
ejpam-3619	144	8	)	)	PUNCT
ejpam-3619	144	9	unj+1	unj+1	NOUN
ejpam-3619	144	10	6	6	NUM
ejpam-3619	144	11	max	max	PROPN
ejpam-3619	144	12	j∈z	j∈z	NOUN
ejpam-3619	144	13	(	(	PUNCT
ejpam-3619	144	14	unj−1	unj−1	PROPN
ejpam-3619	144	15	,	,	PUNCT
ejpam-3619	144	16	u	u	NOUN
ejpam-3619	144	17	n	n	PROPN
ejpam-3619	144	18	j	j	PROPN
ejpam-3619	144	19	,	,	PUNCT
ejpam-3619	144	20	u	u	NOUN
ejpam-3619	144	21	n	n	NOUN
ejpam-3619	144	22	j+1	j+1	NUM
ejpam-3619	144	23	)	)	PUNCT
ejpam-3619	144	24	,	,	PUNCT
ejpam-3619	144	25	therefore	therefore	ADV
ejpam-3619	144	26	un+1	un+1	PROPN
ejpam-3619	144	27	j	j	PROPN
ejpam-3619	144	28	6	6	NUM
ejpam-3619	144	29	max	max	PROPN
ejpam-3619	144	30	j∈z	j∈z	NOUN
ejpam-3619	144	31	(	(	PUNCT
ejpam-3619	144	32	unj−1	unj−1	PROPN
ejpam-3619	144	33	,	,	PUNCT
ejpam-3619	144	34	u	u	NOUN
ejpam-3619	144	35	n	n	PROPN
ejpam-3619	144	36	j	j	PROPN
ejpam-3619	144	37	,	,	PUNCT
ejpam-3619	144	38	u	u	NOUN
ejpam-3619	144	39	n	n	NOUN
ejpam-3619	144	40	j+1	j+1	NUM
ejpam-3619	144	41	)	)	PUNCT
ejpam-3619	144	42	.	.	PUNCT
ejpam-3619	145	1	by	by	ADP
ejpam-3619	145	2	passing	pass	VERB
ejpam-3619	145	3	to	to	ADP
ejpam-3619	145	4	semi	semi	ADJ
ejpam-3619	145	5	-	-	ADJ
ejpam-3619	145	6	norm	norm	ADJ
ejpam-3619	145	7	and	and	CCONJ
ejpam-3619	145	8	supremum	supremum	ADJ
ejpam-3619	145	9	,	,	PUNCT
ejpam-3619	145	10	we	we	PRON
ejpam-3619	145	11	obtain	obtain	VERB
ejpam-3619	145	12	|un+1	|un+1	ADJ
ejpam-3619	145	13	j	j	NOUN
ejpam-3619	146	1	|	|	ADV
ejpam-3619	146	2	6	6	NUM
ejpam-3619	146	3	max	max	PROPN
ejpam-3619	146	4	j∈z	j∈z	NOUN
ejpam-3619	146	5	(	(	PUNCT
ejpam-3619	146	6	|unj−1|	|unj−1|	PROPN
ejpam-3619	146	7	,	,	PUNCT
ejpam-3619	146	8	|unj	|unj	NOUN
ejpam-3619	146	9	|	|	NOUN
ejpam-3619	146	10	,	,	PUNCT
ejpam-3619	146	11	|unj+1|	|unj+1|	PROPN
ejpam-3619	146	12	)	)	PUNCT
ejpam-3619	146	13	,	,	PUNCT
ejpam-3619	146	14	sup|un+1	sup|un+1	VERB
ejpam-3619	146	15	j	j	PROPN
ejpam-3619	146	16	|	|	ADV
ejpam-3619	146	17	6	6	NUM
ejpam-3619	146	18	sup	sup	NOUN
ejpam-3619	146	19	max	max	PROPN
ejpam-3619	146	20	j∈z	j∈z	PROPN
ejpam-3619	146	21	(	(	PUNCT
ejpam-3619	146	22	|unj−1|	|unj−1|	PROPN
ejpam-3619	146	23	,	,	PUNCT
ejpam-3619	146	24	|unj	|unj	NOUN
ejpam-3619	146	25	|	|	NOUN
ejpam-3619	146	26	,	,	PUNCT
ejpam-3619	146	27	|unj+1|	|unj+1|	PROPN
ejpam-3619	146	28	)	)	PUNCT
ejpam-3619	146	29	,	,	PUNCT
ejpam-3619	146	30	‖	‖	PROPN
ejpam-3619	146	31	un+1	un+1	PROPN
ejpam-3619	146	32	‖∞6‖	‖∞6‖	AUX
ejpam-3619	146	33	un	un	PROPN
ejpam-3619	146	34	‖∞	‖∞	PROPN
ejpam-3619	146	35	.	.	PUNCT
ejpam-3619	147	1	by	by	ADP
ejpam-3619	147	2	simple	simple	ADJ
ejpam-3619	147	3	recurrence	recurrence	NOUN
ejpam-3619	147	4	,	,	PUNCT
ejpam-3619	147	5	we	we	PRON
ejpam-3619	147	6	have	have	VERB
ejpam-3619	147	7	for	for	ADP
ejpam-3619	147	8	n	n	NOUN
ejpam-3619	147	9	=	=	SYM
ejpam-3619	147	10	0	0	NUM
ejpam-3619	147	11	,	,	PUNCT
ejpam-3619	147	12	‖	‖	ADJ
ejpam-3619	147	13	u1	u1	NOUN
ejpam-3619	147	14	‖∞6‖	‖∞6‖	AUX
ejpam-3619	147	15	u0	u0	VERB
ejpam-3619	147	16	‖∞	‖∞	PROPN
ejpam-3619	147	17	for	for	ADP
ejpam-3619	147	18	n	n	NOUN
ejpam-3619	147	19	=	=	SYM
ejpam-3619	147	20	1	1	NUM
ejpam-3619	147	21	,	,	PUNCT
ejpam-3619	147	22	‖	‖	ADJ
ejpam-3619	147	23	u2	u2	PROPN
ejpam-3619	147	24	‖∞6‖	‖∞6‖	AUX
ejpam-3619	147	25	u1	u1	NOUN
ejpam-3619	147	26	‖∞6‖	‖∞6‖	AUX
ejpam-3619	147	27	u0	u0	VERB
ejpam-3619	147	28	‖∞	‖∞	PROPN
ejpam-3619	147	29	for	for	ADP
ejpam-3619	147	30	n	n	NOUN
ejpam-3619	147	31	=	=	SYM
ejpam-3619	147	32	2	2	NUM
ejpam-3619	147	33	,	,	PUNCT
ejpam-3619	147	34	‖	‖	ADJ
ejpam-3619	147	35	u3	u3	NOUN
ejpam-3619	147	36	‖∞6‖	‖∞6‖	AUX
ejpam-3619	147	37	u2	u2	PROPN
ejpam-3619	147	38	‖∞6‖	‖∞6‖	AUX
ejpam-3619	147	39	u0	u0	VERB
ejpam-3619	147	40	‖∞	‖∞	PROPN
ejpam-3619	147	41	...	...	PUNCT
ejpam-3619	147	42	at	at	ADP
ejpam-3619	147	43	rank	rank	PROPN
ejpam-3619	147	44	n	n	CCONJ
ejpam-3619	147	45	,	,	PUNCT
ejpam-3619	147	46	‖	‖	PROPN
ejpam-3619	147	47	un	un	PROPN
ejpam-3619	147	48	‖∞6‖	‖∞6‖	AUX
ejpam-3619	147	49	u0	u0	VERB
ejpam-3619	147	50	‖∞=	‖∞=	PROPN
ejpam-3619	147	51	c.	c.	PROPN
ejpam-3619	147	52	which	which	PRON
ejpam-3619	147	53	proves	prove	VERB
ejpam-3619	147	54	the	the	DET
ejpam-3619	147	55	analytical	analytical	ADJ
ejpam-3619	147	56	stability	stability	NOUN
ejpam-3619	147	57	in	in	ADP
ejpam-3619	147	58	l∞([0	l∞([0	PROPN
ejpam-3619	147	59	;	;	PUNCT
ejpam-3619	147	60	1	1	NUM
ejpam-3619	147	61	]	]	PUNCT
ejpam-3619	147	62	)	)	PUNCT
ejpam-3619	147	63	for	for	ADP
ejpam-3619	147	64	the	the	DET
ejpam-3619	147	65	lax	lax	ADJ
ejpam-3619	147	66	-	-	PUNCT
ejpam-3619	147	67	wendroff	wendroff	NOUN
ejpam-3619	147	68	method	method	NOUN
ejpam-3619	147	69	of	of	ADP
ejpam-3619	147	70	the	the	DET
ejpam-3619	147	71	transport	transport	NOUN
ejpam-3619	147	72	equation	equation	NOUN
ejpam-3619	147	73	.	.	PUNCT
ejpam-3619	148	1	5	5	X
ejpam-3619	148	2	.	.	X
ejpam-3619	148	3	analytical	analytical	ADJ
ejpam-3619	148	4	convergence	convergence	NOUN
ejpam-3619	148	5	of	of	ADP
ejpam-3619	148	6	numerical	numerical	ADJ
ejpam-3619	148	7	methods	method	NOUN
ejpam-3619	148	8	in	in	ADP
ejpam-3619	148	9	this	this	DET
ejpam-3619	148	10	section	section	NOUN
ejpam-3619	148	11	,	,	PUNCT
ejpam-3619	148	12	we	we	PRON
ejpam-3619	148	13	will	will	AUX
ejpam-3619	148	14	study	study	VERB
ejpam-3619	148	15	the	the	DET
ejpam-3619	148	16	analytical	analytical	ADJ
ejpam-3619	148	17	convergence	convergence	NOUN
ejpam-3619	148	18	of	of	ADP
ejpam-3619	148	19	the	the	DET
ejpam-3619	148	20	finite	finite	ADJ
ejpam-3619	148	21	difference	difference	NOUN
ejpam-3619	148	22	and	and	CCONJ
ejpam-3619	148	23	lax	lax	ADJ
ejpam-3619	148	24	-	-	PUNCT
ejpam-3619	148	25	wendroff	wendroff	NOUN
ejpam-3619	148	26	methods	method	NOUN
ejpam-3619	148	27	for	for	ADP
ejpam-3619	148	28	solving	solve	VERB
ejpam-3619	148	29	the	the	DET
ejpam-3619	148	30	transport	transport	NOUN
ejpam-3619	148	31	equation	equation	NOUN
ejpam-3619	148	32	.	.	PUNCT
ejpam-3619	149	1	for	for	ADP
ejpam-3619	149	2	this	this	DET
ejpam-3619	149	3	purpose	purpose	NOUN
ejpam-3619	149	4	,	,	PUNCT
ejpam-3619	149	5	we	we	PRON
ejpam-3619	149	6	attempt	attempt	VERB
ejpam-3619	149	7	to	to	PART
ejpam-3619	149	8	compute	compute	VERB
ejpam-3619	149	9	the	the	DET
ejpam-3619	149	10	truncation	truncation	NOUN
ejpam-3619	149	11	errors	error	NOUN
ejpam-3619	149	12	of	of	ADP
ejpam-3619	149	13	these	these	DET
ejpam-3619	149	14	methods	method	NOUN
ejpam-3619	149	15	.	.	PUNCT
ejpam-3619	150	1	d.v	d.v	PROPN
ejpam-3619	150	2	.	.	PROPN
ejpam-3619	150	3	pongui	pongui	PROPN
ejpam-3619	150	4	ngoma	ngoma	PROPN
ejpam-3619	150	5	,	,	PUNCT
ejpam-3619	150	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	150	7	,	,	PUNCT
ejpam-3619	150	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	150	9	,	,	PUNCT
ejpam-3619	150	10	n.	n.	PROPN
ejpam-3619	150	11	batangouna	batangouna	PROPN
ejpam-3619	150	12	/	/	SYM
ejpam-3619	150	13	eur	eur	PROPN
ejpam-3619	150	14	.	.	PUNCT
ejpam-3619	151	1	j.	j.	PROPN
ejpam-3619	151	2	pure	pure	PROPN
ejpam-3619	151	3	appl	appl	PROPN
ejpam-3619	151	4	.	.	PROPN
ejpam-3619	151	5	math	math	PROPN
ejpam-3619	151	6	,	,	PUNCT
ejpam-3619	151	7	13	13	NUM
ejpam-3619	151	8	(	(	PUNCT
ejpam-3619	151	9	1	1	NUM
ejpam-3619	151	10	)	)	PUNCT
ejpam-3619	151	11	(	(	PUNCT
ejpam-3619	151	12	2020	2020	NUM
ejpam-3619	151	13	)	)	PUNCT
ejpam-3619	151	14	,	,	PUNCT
ejpam-3619	151	15	144	144	NUM
ejpam-3619	151	16	-	-	SYM
ejpam-3619	151	17	157	157	NUM
ejpam-3619	151	18	154	154	NUM
ejpam-3619	151	19	5.1	5.1	NUM
ejpam-3619	151	20	.	.	PUNCT
ejpam-3619	152	1	truncation	truncation	NOUN
ejpam-3619	152	2	error	error	NOUN
ejpam-3619	152	3	for	for	ADP
ejpam-3619	152	4	the	the	DET
ejpam-3619	152	5	finite	finite	ADJ
ejpam-3619	152	6	difference	difference	NOUN
ejpam-3619	152	7	method	method	NOUN
ejpam-3619	152	8	of	of	ADP
ejpam-3619	152	9	the	the	DET
ejpam-3619	152	10	transport	transport	NOUN
ejpam-3619	152	11	equation	equation	NOUN
ejpam-3619	152	12	using	use	VERB
ejpam-3619	152	13	taylor	taylor	PROPN
ejpam-3619	152	14	’s	’s	PART
ejpam-3619	152	15	development	development	NOUN
ejpam-3619	152	16	of	of	ADP
ejpam-3619	152	17	order	order	NOUN
ejpam-3619	152	18	2	2	NUM
ejpam-3619	152	19	in	in	ADP
ejpam-3619	152	20	relation	relation	NOUN
ejpam-3619	152	21	with	with	ADP
ejpam-3619	152	22	time	time	NOUN
ejpam-3619	152	23	to	to	PART
ejpam-3619	152	24	approach	approach	VERB
ejpam-3619	152	25	∂u	∂u	PROPN
ejpam-3619	152	26	∂t	∂t	PROPN
ejpam-3619	152	27	,	,	PUNCT
ejpam-3619	152	28	we	we	PRON
ejpam-3619	152	29	obtain	obtain	VERB
ejpam-3619	152	30	u(xj	u(xj	PRON
ejpam-3619	152	31	,	,	PUNCT
ejpam-3619	152	32	tn+1)−	tn+1)−	PROPN
ejpam-3619	152	33	u(xj	u(xj	ADV
ejpam-3619	152	34	,	,	PUNCT
ejpam-3619	152	35	tn	tn	NOUN
ejpam-3619	152	36	)	)	PUNCT
ejpam-3619	152	37	∆t	∆t	PROPN
ejpam-3619	153	1	=	=	SYM
ejpam-3619	153	2	∂u	∂u	PROPN
ejpam-3619	153	3	∂t	∂t	PROPN
ejpam-3619	153	4	(	(	PUNCT
ejpam-3619	153	5	xj	xj	PROPN
ejpam-3619	153	6	,	,	PUNCT
ejpam-3619	153	7	tn	tn	PROPN
ejpam-3619	153	8	)	)	PUNCT
ejpam-3619	153	9	+	+	CCONJ
ejpam-3619	153	10	∆t	∆t	PROPN
ejpam-3619	153	11	2	2	NUM
ejpam-3619	153	12	!	!	PUNCT
ejpam-3619	153	13	∂2u	∂2u	ADJ
ejpam-3619	153	14	∂t2	∂t2	PROPN
ejpam-3619	153	15	(	(	PUNCT
ejpam-3619	153	16	xj	xj	PROPN
ejpam-3619	153	17	,	,	PUNCT
ejpam-3619	153	18	tn	tn	PROPN
ejpam-3619	153	19	)	)	PUNCT
ejpam-3619	153	20	+	+	NOUN
ejpam-3619	153	21	o(∆t2	o(∆t2	ADJ
ejpam-3619	153	22	)	)	PUNCT
ejpam-3619	153	23	.	.	PUNCT
ejpam-3619	154	1	(	(	PUNCT
ejpam-3619	154	2	13	13	NUM
ejpam-3619	154	3	)	)	PUNCT
ejpam-3619	154	4	to	to	PART
ejpam-3619	154	5	approach	approach	VERB
ejpam-3619	154	6	the	the	DET
ejpam-3619	154	7	derivative	derivative	ADJ
ejpam-3619	154	8	∂u	∂u	PROPN
ejpam-3619	154	9	∂x	∂x	PROPN
ejpam-3619	154	10	,	,	PUNCT
ejpam-3619	154	11	let	let	VERB
ejpam-3619	154	12	us	we	PRON
ejpam-3619	154	13	use	use	VERB
ejpam-3619	154	14	taylor	taylor	PROPN
ejpam-3619	154	15	’s	’s	PART
ejpam-3619	154	16	development	development	NOUN
ejpam-3619	154	17	of	of	ADP
ejpam-3619	154	18	order	order	NOUN
ejpam-3619	154	19	2	2	NUM
ejpam-3619	154	20	in	in	ADP
ejpam-3619	154	21	relation	relation	NOUN
ejpam-3619	154	22	to	to	ADP
ejpam-3619	154	23	space	space	NOUN
ejpam-3619	154	24	.	.	PUNCT
ejpam-3619	155	1	we	we	PRON
ejpam-3619	155	2	then	then	ADV
ejpam-3619	155	3	obtain	obtain	VERB
ejpam-3619	155	4	α	α	NOUN
ejpam-3619	155	5	u(xj	u(xj	ADV
ejpam-3619	155	6	,	,	PUNCT
ejpam-3619	155	7	tn)−	tn)−	NOUN
ejpam-3619	155	8	u(xj−1	u(xj−1	PROPN
ejpam-3619	155	9	,	,	PUNCT
ejpam-3619	155	10	tn	tn	PROPN
ejpam-3619	155	11	)	)	PUNCT
ejpam-3619	155	12	∆x	∆x	PROPN
ejpam-3619	156	1	=	=	SYM
ejpam-3619	156	2	α	α	PRON
ejpam-3619	156	3	∂u	∂u	PROPN
ejpam-3619	156	4	∂x	∂x	PROPN
ejpam-3619	156	5	(	(	PUNCT
ejpam-3619	156	6	xj	xj	PROPN
ejpam-3619	156	7	,	,	PUNCT
ejpam-3619	156	8	tn)−	tn)−	NOUN
ejpam-3619	156	9	α∆x	α∆x	PRON
ejpam-3619	156	10	2	2	X
ejpam-3619	156	11	!	!	PUNCT
ejpam-3619	156	12	∂2u	∂2u	PROPN
ejpam-3619	156	13	∂x2	∂x2	PROPN
ejpam-3619	156	14	(	(	PUNCT
ejpam-3619	156	15	xj	xj	PROPN
ejpam-3619	156	16	,	,	PUNCT
ejpam-3619	156	17	tn	tn	PROPN
ejpam-3619	156	18	)	)	PUNCT
ejpam-3619	156	19	+	+	NOUN
ejpam-3619	156	20	o(∆x2	o(∆x2	NOUN
ejpam-3619	156	21	)	)	PUNCT
ejpam-3619	156	22	(	(	PUNCT
ejpam-3619	156	23	14	14	X
ejpam-3619	156	24	)	)	PUNCT
ejpam-3619	156	25	we	we	PRON
ejpam-3619	156	26	then	then	ADV
ejpam-3619	156	27	define	define	VERB
ejpam-3619	156	28	the	the	DET
ejpam-3619	156	29	truncation	truncation	NOUN
ejpam-3619	156	30	error	error	NOUN
ejpam-3619	156	31	of	of	ADP
ejpam-3619	156	32	the	the	DET
ejpam-3619	156	33	transport	transport	NOUN
ejpam-3619	156	34	equation	equation	NOUN
ejpam-3619	156	35	for	for	ADP
ejpam-3619	156	36	the	the	DET
ejpam-3619	156	37	finite	finite	ADJ
ejpam-3619	156	38	difference	difference	NOUN
ejpam-3619	156	39	method	method	NOUN
ejpam-3619	156	40	by	by	ADP
ejpam-3619	156	41	ζnj	ζnj	X
ejpam-3619	156	42	=	=	PUNCT
ejpam-3619	156	43	u(xj	u(xj	PROPN
ejpam-3619	156	44	,	,	PUNCT
ejpam-3619	156	45	tn+1)−	tn+1)−	PROPN
ejpam-3619	156	46	u(xj	u(xj	ADV
ejpam-3619	156	47	,	,	PUNCT
ejpam-3619	156	48	tn	tn	PROPN
ejpam-3619	156	49	)	)	PUNCT
ejpam-3619	156	50	∆t	∆t	PROPN
ejpam-3619	157	1	+	+	CCONJ
ejpam-3619	157	2	α	α	PRON
ejpam-3619	157	3	u(xj	u(xj	ADJ
ejpam-3619	157	4	,	,	PUNCT
ejpam-3619	157	5	tn)−	tn)−	NOUN
ejpam-3619	157	6	u(xj−1	u(xj−1	PROPN
ejpam-3619	157	7	,	,	PUNCT
ejpam-3619	157	8	tn	tn	PROPN
ejpam-3619	157	9	)	)	PUNCT
ejpam-3619	157	10	∆x	∆x	PROPN
ejpam-3619	157	11	.	.	PUNCT
ejpam-3619	158	1	(	(	PUNCT
ejpam-3619	158	2	15	15	NUM
ejpam-3619	158	3	)	)	PUNCT
ejpam-3619	158	4	by	by	ADP
ejpam-3619	158	5	adding	add	VERB
ejpam-3619	158	6	the	the	DET
ejpam-3619	158	7	equations	equation	NOUN
ejpam-3619	158	8	(	(	PUNCT
ejpam-3619	158	9	13	13	NUM
ejpam-3619	158	10	)	)	PUNCT
ejpam-3619	158	11	and	and	CCONJ
ejpam-3619	158	12	(	(	PUNCT
ejpam-3619	158	13	14	14	NUM
ejpam-3619	158	14	)	)	PUNCT
ejpam-3619	158	15	member	member	NOUN
ejpam-3619	158	16	to	to	ADP
ejpam-3619	158	17	member	member	PROPN
ejpam-3619	158	18	,	,	PUNCT
ejpam-3619	158	19	we	we	PRON
ejpam-3619	158	20	get	get	VERB
ejpam-3619	158	21	ζnj	ζnj	ADJ
ejpam-3619	159	1	=	=	SYM
ejpam-3619	159	2	∂u	∂u	PROPN
ejpam-3619	159	3	∂t	∂t	PROPN
ejpam-3619	159	4	(	(	PUNCT
ejpam-3619	159	5	xj	xj	PROPN
ejpam-3619	159	6	,	,	PUNCT
ejpam-3619	159	7	tn)+α	tn)+α	VERB
ejpam-3619	159	8	∂u	∂u	PROPN
ejpam-3619	159	9	∂x	∂x	PROPN
ejpam-3619	159	10	(	(	PUNCT
ejpam-3619	159	11	xj	xj	PROPN
ejpam-3619	159	12	,	,	PUNCT
ejpam-3619	159	13	tn)+	tn)+	NOUN
ejpam-3619	160	1	∆t	∆t	PROPN
ejpam-3619	160	2	2	2	NUM
ejpam-3619	160	3	!	!	PUNCT
ejpam-3619	160	4	∂2u	∂2u	ADJ
ejpam-3619	160	5	∂t2	∂t2	PROPN
ejpam-3619	160	6	(	(	PUNCT
ejpam-3619	160	7	xj	xj	PROPN
ejpam-3619	160	8	,	,	PUNCT
ejpam-3619	160	9	tn)−α∆x	tn)−α∆x	PROPN
ejpam-3619	160	10	2	2	X
ejpam-3619	160	11	!	!	PUNCT
ejpam-3619	160	12	∂2u	∂2u	PROPN
ejpam-3619	160	13	∂x2	∂x2	PROPN
ejpam-3619	160	14	(	(	PUNCT
ejpam-3619	160	15	xj	xj	PROPN
ejpam-3619	160	16	,	,	PUNCT
ejpam-3619	160	17	tn)+o(∆t2+∆x2	tn)+o(∆t2+∆x2	NUM
ejpam-3619	160	18	)	)	PUNCT
ejpam-3619	160	19	(	(	PUNCT
ejpam-3619	160	20	16	16	X
ejpam-3619	160	21	)	)	PUNCT
ejpam-3619	160	22	knowing	know	VERB
ejpam-3619	160	23	that	that	SCONJ
ejpam-3619	160	24	∂u	∂u	PROPN
ejpam-3619	160	25	∂t	∂t	PROPN
ejpam-3619	160	26	(	(	PUNCT
ejpam-3619	160	27	xj	xj	PROPN
ejpam-3619	160	28	,	,	PUNCT
ejpam-3619	160	29	tn	tn	PROPN
ejpam-3619	160	30	)	)	PUNCT
ejpam-3619	160	31	+	+	CCONJ
ejpam-3619	160	32	α	α	PRON
ejpam-3619	160	33	∂u	∂u	PROPN
ejpam-3619	160	34	∂x	∂x	PROPN
ejpam-3619	160	35	(	(	PUNCT
ejpam-3619	160	36	xj	xj	PROPN
ejpam-3619	160	37	,	,	PUNCT
ejpam-3619	160	38	tn	tn	PROPN
ejpam-3619	160	39	)	)	PUNCT
ejpam-3619	160	40	=	=	SYM
ejpam-3619	160	41	0	0	PUNCT
ejpam-3619	160	42	,	,	PUNCT
ejpam-3619	160	43	as	as	ADP
ejpam-3619	160	44	a	a	DET
ejpam-3619	160	45	result	result	NOUN
ejpam-3619	160	46	ζnj	ζnj	X
ejpam-3619	160	47	=	=	SYM
ejpam-3619	160	48	∆t	∆t	PROPN
ejpam-3619	160	49	2	2	X
ejpam-3619	160	50	!	!	PUNCT
ejpam-3619	160	51	∂2u	∂2u	ADJ
ejpam-3619	160	52	∂t2	∂t2	PROPN
ejpam-3619	160	53	(	(	PUNCT
ejpam-3619	160	54	xj	xj	PROPN
ejpam-3619	160	55	,	,	PUNCT
ejpam-3619	160	56	tn)−	tn)−	NOUN
ejpam-3619	160	57	α∆x	α∆x	DET
ejpam-3619	160	58	2	2	X
ejpam-3619	160	59	!	!	PUNCT
ejpam-3619	160	60	∂2u	∂2u	PROPN
ejpam-3619	160	61	∂x2	∂x2	PROPN
ejpam-3619	160	62	(	(	PUNCT
ejpam-3619	160	63	xj	xj	PROPN
ejpam-3619	160	64	,	,	PUNCT
ejpam-3619	160	65	tn	tn	PROPN
ejpam-3619	160	66	)	)	PUNCT
ejpam-3619	161	1	+	+	NOUN
ejpam-3619	161	2	o(∆t2	o(∆t2	ADJ
ejpam-3619	161	3	+	+	NUM
ejpam-3619	161	4	∆x2	∆x2	NOUN
ejpam-3619	161	5	)	)	PUNCT
ejpam-3619	161	6	.	.	PUNCT
ejpam-3619	162	1	we	we	PRON
ejpam-3619	162	2	obtain	obtain	VERB
ejpam-3619	162	3	a	a	DET
ejpam-3619	162	4	truncation	truncation	NOUN
ejpam-3619	162	5	error	error	NOUN
ejpam-3619	162	6	of	of	ADP
ejpam-3619	162	7	the	the	DET
ejpam-3619	162	8	equation	equation	NOUN
ejpam-3619	162	9	of	of	ADP
ejpam-3619	162	10	transport	transport	NOUN
ejpam-3619	162	11	of	of	ADP
ejpam-3619	162	12	order	order	NOUN
ejpam-3619	162	13	2	2	NUM
ejpam-3619	162	14	in	in	ADP
ejpam-3619	162	15	space	space	NOUN
ejpam-3619	162	16	and	and	CCONJ
ejpam-3619	162	17	in	in	ADP
ejpam-3619	162	18	time	time	NOUN
ejpam-3619	162	19	.	.	PUNCT
ejpam-3619	163	1	expressing	express	VERB
ejpam-3619	163	2	∂2u	∂2u	ADJ
ejpam-3619	163	3	∂t2	∂t2	NOUN
ejpam-3619	163	4	in	in	ADP
ejpam-3619	163	5	terms	term	NOUN
ejpam-3619	163	6	of	of	ADP
ejpam-3619	163	7	∂2u	∂2u	PROPN
ejpam-3619	163	8	∂x2	∂x2	PROPN
ejpam-3619	163	9	,	,	PUNCT
ejpam-3619	163	10	the	the	DET
ejpam-3619	163	11	truncation	truncation	NOUN
ejpam-3619	163	12	error	error	NOUN
ejpam-3619	163	13	is	be	AUX
ejpam-3619	163	14	written	write	VERB
ejpam-3619	163	15	ζnj	ζnj	X
ejpam-3619	164	1	=	=	SYM
ejpam-3619	164	2	∆t	∆t	PROPN
ejpam-3619	164	3	2	2	X
ejpam-3619	164	4	!	!	PUNCT
ejpam-3619	164	5	α2∂	α2∂	PROPN
ejpam-3619	164	6	2u	2u	PROPN
ejpam-3619	164	7	∂x2	∂x2	PROPN
ejpam-3619	164	8	(	(	PUNCT
ejpam-3619	164	9	xj	xj	PROPN
ejpam-3619	164	10	,	,	PUNCT
ejpam-3619	164	11	tn)−	tn)−	NOUN
ejpam-3619	164	12	α∆x	α∆x	DET
ejpam-3619	164	13	2	2	X
ejpam-3619	164	14	!	!	PUNCT
ejpam-3619	164	15	∂2u	∂2u	PROPN
ejpam-3619	164	16	∂x2	∂x2	PROPN
ejpam-3619	164	17	(	(	PUNCT
ejpam-3619	164	18	xj	xj	PROPN
ejpam-3619	164	19	,	,	PUNCT
ejpam-3619	164	20	tn	tn	PROPN
ejpam-3619	164	21	)	)	PUNCT
ejpam-3619	165	1	+	+	NOUN
ejpam-3619	165	2	o(∆t2	o(∆t2	ADJ
ejpam-3619	165	3	+	+	NUM
ejpam-3619	165	4	∆x2	∆x2	NOUN
ejpam-3619	165	5	)	)	PUNCT
ejpam-3619	165	6	,	,	PUNCT
ejpam-3619	165	7	ζnj	ζnj	X
ejpam-3619	165	8	=	=	SYM
ejpam-3619	166	1	α	α	PRON
ejpam-3619	166	2	2	2	NUM
ejpam-3619	166	3	(	(	PUNCT
ejpam-3619	166	4	α∆t−∆x	α∆t−∆x	PROPN
ejpam-3619	166	5	)	)	PUNCT
ejpam-3619	166	6	∂2u	∂2u	PROPN
ejpam-3619	166	7	∂x2	∂x2	PROPN
ejpam-3619	166	8	(	(	PUNCT
ejpam-3619	166	9	xj	xj	PROPN
ejpam-3619	166	10	,	,	PUNCT
ejpam-3619	166	11	tn	tn	PROPN
ejpam-3619	166	12	)	)	PUNCT
ejpam-3619	166	13	.	.	PUNCT
ejpam-3619	167	1	(	(	PUNCT
ejpam-3619	167	2	17	17	NUM
ejpam-3619	167	3	)	)	PUNCT
ejpam-3619	167	4	study	study	NOUN
ejpam-3619	167	5	of	of	ADP
ejpam-3619	167	6	the	the	DET
ejpam-3619	167	7	consistency	consistency	NOUN
ejpam-3619	167	8	this	this	DET
ejpam-3619	167	9	scheme	scheme	NOUN
ejpam-3619	167	10	is	be	AUX
ejpam-3619	167	11	said	say	VERB
ejpam-3619	167	12	to	to	PART
ejpam-3619	167	13	be	be	AUX
ejpam-3619	167	14	consistent	consistent	ADJ
ejpam-3619	167	15	if	if	SCONJ
ejpam-3619	167	16	the	the	DET
ejpam-3619	167	17	truncation	truncation	NOUN
ejpam-3619	167	18	error	error	NOUN
ejpam-3619	167	19	goes	go	VERB
ejpam-3619	167	20	to	to	ADP
ejpam-3619	167	21	zero	zero	NUM
ejpam-3619	167	22	when	when	SCONJ
ejpam-3619	167	23	the	the	DET
ejpam-3619	167	24	time	time	NOUN
ejpam-3619	167	25	discretization	discretization	NOUN
ejpam-3619	167	26	step	step	NOUN
ejpam-3619	167	27	∆t	∆t	PROPN
ejpam-3619	167	28	and	and	CCONJ
ejpam-3619	167	29	the	the	DET
ejpam-3619	167	30	space	space	NOUN
ejpam-3619	167	31	discretization	discretization	NOUN
ejpam-3619	167	32	step	step	NOUN
ejpam-3619	167	33	∆x	∆x	PROPN
ejpam-3619	167	34	tend	tend	VERB
ejpam-3619	167	35	to	to	PART
ejpam-3619	167	36	zero	zero	NUM
ejpam-3619	167	37	independently	independently	ADV
ejpam-3619	167	38	.	.	PUNCT
ejpam-3619	168	1	d.v	d.v	PROPN
ejpam-3619	168	2	.	.	PROPN
ejpam-3619	168	3	pongui	pongui	PROPN
ejpam-3619	168	4	ngoma	ngoma	PROPN
ejpam-3619	168	5	,	,	PUNCT
ejpam-3619	168	6	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	168	7	,	,	PUNCT
ejpam-3619	168	8	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	168	9	,	,	PUNCT
ejpam-3619	168	10	n.	n.	PROPN
ejpam-3619	168	11	batangouna	batangouna	PROPN
ejpam-3619	168	12	/	/	SYM
ejpam-3619	168	13	eur	eur	PROPN
ejpam-3619	168	14	.	.	PUNCT
ejpam-3619	169	1	j.	j.	PROPN
ejpam-3619	169	2	pure	pure	PROPN
ejpam-3619	169	3	appl	appl	PROPN
ejpam-3619	169	4	.	.	PROPN
ejpam-3619	169	5	math	math	PROPN
ejpam-3619	169	6	,	,	PUNCT
ejpam-3619	169	7	13	13	NUM
ejpam-3619	169	8	(	(	PUNCT
ejpam-3619	169	9	1	1	NUM
ejpam-3619	169	10	)	)	PUNCT
ejpam-3619	169	11	(	(	PUNCT
ejpam-3619	169	12	2020	2020	NUM
ejpam-3619	169	13	)	)	PUNCT
ejpam-3619	169	14	,	,	PUNCT
ejpam-3619	169	15	144	144	NUM
ejpam-3619	169	16	-	-	SYM
ejpam-3619	169	17	157	157	NUM
ejpam-3619	169	18	155	155	NUM
ejpam-3619	169	19	according	accord	VERB
ejpam-3619	169	20	to	to	ADP
ejpam-3619	169	21	our	our	PRON
ejpam-3619	169	22	analysis	analysis	NOUN
ejpam-3619	169	23	,	,	PUNCT
ejpam-3619	169	24	the	the	DET
ejpam-3619	169	25	truncation	truncation	NOUN
ejpam-3619	169	26	error	error	NOUN
ejpam-3619	169	27	is	be	AUX
ejpam-3619	169	28	ζnj	ζnj	X
ejpam-3619	170	1	=	=	SYM
ejpam-3619	171	1	α	α	PRON
ejpam-3619	171	2	2	2	NUM
ejpam-3619	171	3	(	(	PUNCT
ejpam-3619	171	4	α∆t−∆x	α∆t−∆x	PROPN
ejpam-3619	171	5	)	)	PUNCT
ejpam-3619	171	6	∂2u	∂2u	PROPN
ejpam-3619	171	7	∂x2	∂x2	PROPN
ejpam-3619	171	8	(	(	PUNCT
ejpam-3619	171	9	xj	xj	PROPN
ejpam-3619	171	10	,	,	PUNCT
ejpam-3619	171	11	tn	tn	PROPN
ejpam-3619	171	12	)	)	PUNCT
ejpam-3619	171	13	.	.	PUNCT
ejpam-3619	172	1	doing	do	VERB
ejpam-3619	172	2	(	(	PUNCT
ejpam-3619	172	3	∆x,∆t	∆x,∆t	NOUN
ejpam-3619	172	4	)	)	PUNCT
ejpam-3619	172	5	−→	−→	NOUN
ejpam-3619	172	6	(	(	PUNCT
ejpam-3619	172	7	0	0	NUM
ejpam-3619	172	8	,	,	PUNCT
ejpam-3619	172	9	0	0	NUM
ejpam-3619	172	10	)	)	PUNCT
ejpam-3619	172	11	therefore	therefore	ADV
ejpam-3619	172	12	ζnj	ζnj	ADJ
ejpam-3619	172	13	−→	−→	NOUN
ejpam-3619	172	14	(	(	PUNCT
ejpam-3619	172	15	0	0	NUM
ejpam-3619	172	16	,	,	PUNCT
ejpam-3619	172	17	0	0	NUM
ejpam-3619	172	18	)	)	PUNCT
ejpam-3619	172	19	.	.	PUNCT
ejpam-3619	173	1	which	which	PRON
ejpam-3619	173	2	proves	prove	VERB
ejpam-3619	173	3	the	the	DET
ejpam-3619	173	4	consistency	consistency	NOUN
ejpam-3619	173	5	of	of	ADP
ejpam-3619	173	6	the	the	DET
ejpam-3619	173	7	finite	finite	ADJ
ejpam-3619	173	8	difference	difference	NOUN
ejpam-3619	173	9	scheme	scheme	NOUN
ejpam-3619	173	10	for	for	ADP
ejpam-3619	173	11	the	the	DET
ejpam-3619	173	12	transport	transport	NOUN
ejpam-3619	173	13	equation	equation	NOUN
ejpam-3619	173	14	.	.	PUNCT
ejpam-3619	174	1	since	since	SCONJ
ejpam-3619	174	2	the	the	DET
ejpam-3619	174	3	scheme	scheme	NOUN
ejpam-3619	174	4	is	be	AUX
ejpam-3619	174	5	stable	stable	ADJ
ejpam-3619	174	6	and	and	CCONJ
ejpam-3619	174	7	consistent	consistent	ADJ
ejpam-3619	174	8	,	,	PUNCT
ejpam-3619	174	9	it	it	PRON
ejpam-3619	174	10	is	be	AUX
ejpam-3619	174	11	concluded	conclude	VERB
ejpam-3619	174	12	that	that	SCONJ
ejpam-3619	174	13	the	the	DET
ejpam-3619	174	14	numerical	numerical	ADJ
ejpam-3619	174	15	solution	solution	NOUN
ejpam-3619	174	16	of	of	ADP
ejpam-3619	174	17	unj	unj	NOUN
ejpam-3619	174	18	of	of	ADP
ejpam-3619	174	19	the	the	DET
ejpam-3619	174	20	finite	finite	ADJ
ejpam-3619	174	21	difference	difference	NOUN
ejpam-3619	174	22	scheme	scheme	NOUN
ejpam-3619	174	23	for	for	ADP
ejpam-3619	174	24	the	the	DET
ejpam-3619	174	25	transport	transport	NOUN
ejpam-3619	174	26	equation	equation	NOUN
ejpam-3619	174	27	is	be	AUX
ejpam-3619	174	28	convergent	convergent	ADJ
ejpam-3619	174	29	.	.	PUNCT
ejpam-3619	175	1	5.2	5.2	NUM
ejpam-3619	175	2	.	.	PUNCT
ejpam-3619	175	3	truncation	truncation	NOUN
ejpam-3619	175	4	error	error	NOUN
ejpam-3619	175	5	for	for	ADP
ejpam-3619	175	6	the	the	DET
ejpam-3619	175	7	lax	lax	ADJ
ejpam-3619	175	8	-	-	PUNCT
ejpam-3619	175	9	wendroff	wendroff	NOUN
ejpam-3619	175	10	method	method	NOUN
ejpam-3619	175	11	of	of	ADP
ejpam-3619	175	12	the	the	DET
ejpam-3619	175	13	transport	transport	NOUN
ejpam-3619	175	14	equation	equation	NOUN
ejpam-3619	175	15	the	the	DET
ejpam-3619	175	16	lax	lax	PROPN
ejpam-3619	175	17	-	-	PUNCT
ejpam-3619	175	18	wendroff	wendroff	NOUN
ejpam-3619	175	19	scheme	scheme	NOUN
ejpam-3619	175	20	for	for	ADP
ejpam-3619	175	21	the	the	DET
ejpam-3619	175	22	advection	advection	NOUN
ejpam-3619	175	23	equation	equation	NOUN
ejpam-3619	175	24	is	be	AUX
ejpam-3619	175	25	written	write	VERB
ejpam-3619	175	26	as	as	ADP
ejpam-3619	175	27	un+1	un+1	PROPN
ejpam-3619	175	28	j	j	PROPN
ejpam-3619	175	29	−	−	PROPN
ejpam-3619	175	30	unj	unj	PROPN
ejpam-3619	175	31	∆t	∆t	PROPN
ejpam-3619	175	32	+	+	CCONJ
ejpam-3619	175	33	c	c	NOUN
ejpam-3619	175	34	unj+1	unj+1	NOUN
ejpam-3619	175	35	−	−	PROPN
ejpam-3619	175	36	unj−1	unj−1	PROPN
ejpam-3619	175	37	2∆x	2∆x	NUM
ejpam-3619	175	38	−	−	PROPN
ejpam-3619	175	39	(	(	PUNCT
ejpam-3619	175	40	c2∆t	c2∆t	NOUN
ejpam-3619	175	41	2	2	NUM
ejpam-3619	175	42	)	)	PUNCT
ejpam-3619	176	1	unj−1	unj−1	NOUN
ejpam-3619	177	1	−	−	NUM
ejpam-3619	177	2	2unj	2unj	PROPN
ejpam-3619	177	3	+	+	CCONJ
ejpam-3619	177	4	unj+1	unj+1	PROPN
ejpam-3619	177	5	∆x2	∆x2	NOUN
ejpam-3619	177	6	=	=	NOUN
ejpam-3619	177	7	0	0	PROPN
ejpam-3619	177	8	.	.	PUNCT
ejpam-3619	178	1	(	(	PUNCT
ejpam-3619	178	2	18	18	NUM
ejpam-3619	178	3	)	)	PUNCT
ejpam-3619	178	4	the	the	DET
ejpam-3619	178	5	truncation	truncation	NOUN
ejpam-3619	178	6	error	error	NOUN
ejpam-3619	178	7	of	of	ADP
ejpam-3619	178	8	the	the	DET
ejpam-3619	178	9	transport	transport	NOUN
ejpam-3619	178	10	equation	equation	NOUN
ejpam-3619	178	11	for	for	ADP
ejpam-3619	178	12	the	the	DET
ejpam-3619	178	13	lax	lax	ADJ
ejpam-3619	178	14	-	-	PUNCT
ejpam-3619	178	15	wendroff	wendroff	NOUN
ejpam-3619	178	16	method	method	NOUN
ejpam-3619	178	17	is	be	AUX
ejpam-3619	178	18	defined	define	VERB
ejpam-3619	178	19	by	by	ADP
ejpam-3619	178	20	ζ	ζ	NOUN
ejpam-3619	178	21	′nj	′nj	NOUN
ejpam-3619	178	22	=	=	X
ejpam-3619	178	23	u(xj	u(xj	ADV
ejpam-3619	178	24	,	,	PUNCT
ejpam-3619	178	25	tn+1)−	tn+1)−	PROPN
ejpam-3619	178	26	u(xj	u(xj	ADV
ejpam-3619	178	27	,	,	PUNCT
ejpam-3619	178	28	tn	tn	PROPN
ejpam-3619	178	29	)	)	PUNCT
ejpam-3619	178	30	∆t	∆t	PROPN
ejpam-3619	179	1	+	+	ADP
ejpam-3619	179	2	c	c	NOUN
ejpam-3619	179	3	u(xj+1	u(xj+1	NOUN
ejpam-3619	179	4	,	,	PUNCT
ejpam-3619	179	5	tn)−	tn)−	PUNCT
ejpam-3619	179	6	u(xj−1	u(xj−1	PROPN
ejpam-3619	179	7	,	,	PUNCT
ejpam-3619	179	8	tn	tn	PROPN
ejpam-3619	179	9	)	)	PUNCT
ejpam-3619	179	10	2∆x	2∆x	NUM
ejpam-3619	180	1	−	−	PROPN
ejpam-3619	180	2	(	(	PUNCT
ejpam-3619	180	3	c2∆t	c2∆t	NOUN
ejpam-3619	180	4	2	2	NUM
ejpam-3619	180	5	)	)	PUNCT
ejpam-3619	180	6	u(xj+1	u(xj+1	NOUN
ejpam-3619	180	7	,	,	PUNCT
ejpam-3619	180	8	tn)−	tn)−	NOUN
ejpam-3619	180	9	2u(xj	2u(xj	NUM
ejpam-3619	180	10	,	,	PUNCT
ejpam-3619	180	11	tn	tn	PROPN
ejpam-3619	180	12	)	)	PUNCT
ejpam-3619	180	13	+	+	CCONJ
ejpam-3619	180	14	u(xj−1	u(xj−1	PROPN
ejpam-3619	180	15	,	,	PUNCT
ejpam-3619	180	16	tn	tn	PROPN
ejpam-3619	180	17	)	)	PUNCT
ejpam-3619	180	18	∆x2	∆x2	NOUN
ejpam-3619	180	19	(	(	PUNCT
ejpam-3619	180	20	19	19	NUM
ejpam-3619	180	21	)	)	PUNCT
ejpam-3619	180	22	let	let	VERB
ejpam-3619	180	23	us	we	PRON
ejpam-3619	180	24	make	make	VERB
ejpam-3619	180	25	a	a	DET
ejpam-3619	180	26	development	development	NOUN
ejpam-3619	180	27	of	of	ADP
ejpam-3619	180	28	taylor	taylor	PROPN
ejpam-3619	180	29	in	in	ADP
ejpam-3619	180	30	x	x	PROPN
ejpam-3619	180	31	around	around	ADP
ejpam-3619	180	32	the	the	DET
ejpam-3619	180	33	point	point	NOUN
ejpam-3619	180	34	xj	xj	PROPN
ejpam-3619	180	35	and	and	CCONJ
ejpam-3619	180	36	in	in	ADP
ejpam-3619	180	37	t	t	NOUN
ejpam-3619	180	38	around	around	ADP
ejpam-3619	180	39	the	the	DET
ejpam-3619	180	40	point	point	NOUN
ejpam-3619	180	41	tn	tn	PROPN
ejpam-3619	180	42	.	.	PUNCT
ejpam-3619	181	1	since	since	SCONJ
ejpam-3619	181	2	u	u	NOUN
ejpam-3619	181	3	is	be	AUX
ejpam-3619	181	4	the	the	DET
ejpam-3619	181	5	solution	solution	NOUN
ejpam-3619	181	6	of	of	ADP
ejpam-3619	181	7	the	the	DET
ejpam-3619	181	8	transport	transport	NOUN
ejpam-3619	181	9	equation	equation	NOUN
ejpam-3619	181	10	(	(	PUNCT
ejpam-3619	181	11	1	1	NUM
ejpam-3619	181	12	)	)	PUNCT
ejpam-3619	181	13	,	,	PUNCT
ejpam-3619	181	14	we	we	PRON
ejpam-3619	181	15	have	have	VERB
ejpam-3619	181	16	u(xj	u(xj	ADV
ejpam-3619	181	17	,	,	PUNCT
ejpam-3619	181	18	tn+1)−	tn+1)−	PROPN
ejpam-3619	181	19	u(xj	u(xj	ADV
ejpam-3619	181	20	,	,	PUNCT
ejpam-3619	181	21	tn	tn	NOUN
ejpam-3619	181	22	)	)	PUNCT
ejpam-3619	181	23	∆t	∆t	PROPN
ejpam-3619	182	1	=	=	SYM
ejpam-3619	182	2	∂u	∂u	PROPN
ejpam-3619	182	3	∂t	∂t	PROPN
ejpam-3619	182	4	(	(	PUNCT
ejpam-3619	182	5	xj	xj	PROPN
ejpam-3619	182	6	,	,	PUNCT
ejpam-3619	182	7	tn	tn	PROPN
ejpam-3619	182	8	)	)	PUNCT
ejpam-3619	182	9	+	+	CCONJ
ejpam-3619	182	10	∆t	∆t	PROPN
ejpam-3619	182	11	2	2	NUM
ejpam-3619	182	12	!	!	PUNCT
ejpam-3619	182	13	∂2u	∂2u	ADJ
ejpam-3619	182	14	∂t2	∂t2	PROPN
ejpam-3619	182	15	(	(	PUNCT
ejpam-3619	182	16	xj	xj	PROPN
ejpam-3619	182	17	,	,	PUNCT
ejpam-3619	182	18	tn	tn	PROPN
ejpam-3619	182	19	)	)	PUNCT
ejpam-3619	182	20	+	+	NOUN
ejpam-3619	182	21	o(∆t2	o(∆t2	ADJ
ejpam-3619	182	22	)	)	PUNCT
ejpam-3619	182	23	,	,	PUNCT
ejpam-3619	182	24	(	(	PUNCT
ejpam-3619	182	25	20	20	NUM
ejpam-3619	182	26	)	)	PUNCT
ejpam-3619	182	27	c	c	NOUN
ejpam-3619	182	28	u(xj+1	u(xj+1	NOUN
ejpam-3619	182	29	,	,	PUNCT
ejpam-3619	182	30	tn)−	tn)−	PUNCT
ejpam-3619	182	31	u(xj−1	u(xj−1	PROPN
ejpam-3619	182	32	,	,	PUNCT
ejpam-3619	182	33	tn	tn	PROPN
ejpam-3619	182	34	)	)	PUNCT
ejpam-3619	182	35	2∆x	2∆x	NUM
ejpam-3619	182	36	=	=	SYM
ejpam-3619	182	37	c	c	PROPN
ejpam-3619	182	38	∂u	∂u	PROPN
ejpam-3619	182	39	∂x	∂x	PROPN
ejpam-3619	182	40	(	(	PUNCT
ejpam-3619	182	41	xj	xj	PROPN
ejpam-3619	182	42	,	,	PUNCT
ejpam-3619	182	43	tn	tn	PROPN
ejpam-3619	182	44	)	)	PUNCT
ejpam-3619	182	45	,	,	PUNCT
ejpam-3619	182	46	(	(	PUNCT
ejpam-3619	182	47	21	21	NUM
ejpam-3619	182	48	)	)	PUNCT
ejpam-3619	182	49	(	(	PUNCT
ejpam-3619	182	50	c2∆t	c2∆t	NOUN
ejpam-3619	182	51	2	2	X
ejpam-3619	182	52	)	)	PUNCT
ejpam-3619	182	53	unj−1	unj−1	NOUN
ejpam-3619	183	1	−	−	NUM
ejpam-3619	183	2	2unj	2unj	PROPN
ejpam-3619	183	3	+	+	CCONJ
ejpam-3619	183	4	unj+1	unj+1	PROPN
ejpam-3619	183	5	∆x2	∆x2	PRON
ejpam-3619	183	6	=	=	SYM
ejpam-3619	183	7	(	(	PUNCT
ejpam-3619	183	8	c2	c2	PROPN
ejpam-3619	183	9	2	2	NUM
ejpam-3619	183	10	)	)	PUNCT
ejpam-3619	183	11	∆t	∆t	PROPN
ejpam-3619	183	12	∂2u	∂2u	ADJ
ejpam-3619	183	13	∂x2	∂x2	PROPN
ejpam-3619	183	14	(	(	PUNCT
ejpam-3619	183	15	xj	xj	PROPN
ejpam-3619	183	16	,	,	PUNCT
ejpam-3619	183	17	tn	tn	PROPN
ejpam-3619	183	18	)	)	PUNCT
ejpam-3619	183	19	.	.	PUNCT
ejpam-3619	184	1	(	(	PUNCT
ejpam-3619	184	2	22	22	NUM
ejpam-3619	184	3	)	)	PUNCT
ejpam-3619	184	4	by	by	ADP
ejpam-3619	184	5	inserting	insert	VERB
ejpam-3619	184	6	the	the	DET
ejpam-3619	184	7	relations	relation	NOUN
ejpam-3619	184	8	(	(	PUNCT
ejpam-3619	184	9	20	20	NUM
ejpam-3619	184	10	)	)	PUNCT
ejpam-3619	184	11	,	,	PUNCT
ejpam-3619	184	12	(	(	PUNCT
ejpam-3619	184	13	21	21	NUM
ejpam-3619	184	14	)	)	PUNCT
ejpam-3619	184	15	and	and	CCONJ
ejpam-3619	184	16	(	(	PUNCT
ejpam-3619	184	17	22	22	NUM
ejpam-3619	184	18	)	)	PUNCT
ejpam-3619	184	19	into	into	ADP
ejpam-3619	184	20	the	the	DET
ejpam-3619	184	21	expression	expression	NOUN
ejpam-3619	184	22	of	of	ADP
ejpam-3619	184	23	ζ	ζ	NOUN
ejpam-3619	184	24	′nj	′nj	NOUN
ejpam-3619	184	25	,	,	PUNCT
ejpam-3619	184	26	we	we	PRON
ejpam-3619	184	27	get	get	VERB
ejpam-3619	184	28	ζ	ζ	NOUN
ejpam-3619	184	29	′nj	′nj	NOUN
ejpam-3619	184	30	=	=	SYM
ejpam-3619	184	31	∆t	∆t	PROPN
ejpam-3619	184	32	2	2	X
ejpam-3619	184	33	!	!	PUNCT
ejpam-3619	184	34	∂2u	∂2u	ADJ
ejpam-3619	184	35	∂t2	∂t2	PROPN
ejpam-3619	184	36	(	(	PUNCT
ejpam-3619	184	37	xj	xj	PROPN
ejpam-3619	184	38	,	,	PUNCT
ejpam-3619	184	39	tn)−	tn)−	PUNCT
ejpam-3619	184	40	(	(	PUNCT
ejpam-3619	184	41	c2	c2	PROPN
ejpam-3619	184	42	2	2	NUM
ejpam-3619	184	43	)	)	PUNCT
ejpam-3619	184	44	∆t	∆t	PROPN
ejpam-3619	184	45	∂2u	∂2u	ADJ
ejpam-3619	184	46	∂x2	∂x2	PROPN
ejpam-3619	184	47	(	(	PUNCT
ejpam-3619	184	48	xj	xj	PROPN
ejpam-3619	184	49	,	,	PUNCT
ejpam-3619	184	50	tn	tn	PROPN
ejpam-3619	184	51	)	)	PUNCT
ejpam-3619	185	1	+	+	NOUN
ejpam-3619	185	2	o(∆t2	o(∆t2	ADJ
ejpam-3619	185	3	+	+	NUM
ejpam-3619	185	4	∆x2	∆x2	NOUN
ejpam-3619	185	5	)	)	PUNCT
ejpam-3619	185	6	,	,	PUNCT
ejpam-3619	185	7	d.v	d.v	PROPN
ejpam-3619	185	8	.	.	PROPN
ejpam-3619	185	9	pongui	pongui	PROPN
ejpam-3619	185	10	ngoma	ngoma	PROPN
ejpam-3619	185	11	,	,	PUNCT
ejpam-3619	185	12	g.nguimbi	g.nguimbi	NOUN
ejpam-3619	185	13	,	,	PUNCT
ejpam-3619	185	14	v.d.mabonzo	v.d.mabonzo	NOUN
ejpam-3619	185	15	,	,	PUNCT
ejpam-3619	185	16	n.	n.	PROPN
ejpam-3619	185	17	batangouna	batangouna	PROPN
ejpam-3619	185	18	/	/	SYM
ejpam-3619	185	19	eur	eur	PROPN
ejpam-3619	185	20	.	.	PUNCT
ejpam-3619	186	1	j.	j.	PROPN
ejpam-3619	186	2	pure	pure	PROPN
ejpam-3619	186	3	appl	appl	PROPN
ejpam-3619	186	4	.	.	PROPN
ejpam-3619	186	5	math	math	PROPN
ejpam-3619	186	6	,	,	PUNCT
ejpam-3619	186	7	13	13	NUM
ejpam-3619	186	8	(	(	PUNCT
ejpam-3619	186	9	1	1	NUM
ejpam-3619	186	10	)	)	PUNCT
ejpam-3619	186	11	(	(	PUNCT
ejpam-3619	186	12	2020	2020	NUM
ejpam-3619	186	13	)	)	PUNCT
ejpam-3619	186	14	,	,	PUNCT
ejpam-3619	186	15	144	144	NUM
ejpam-3619	186	16	-	-	SYM
ejpam-3619	186	17	157	157	NUM
ejpam-3619	186	18	156	156	NUM
ejpam-3619	186	19	the	the	DET
ejpam-3619	186	20	truncation	truncation	NOUN
ejpam-3619	186	21	error	error	NOUN
ejpam-3619	186	22	for	for	ADP
ejpam-3619	186	23	the	the	DET
ejpam-3619	186	24	lax	lax	ADJ
ejpam-3619	186	25	-	-	PUNCT
ejpam-3619	186	26	wendroff	wendroff	NOUN
ejpam-3619	186	27	method	method	NOUN
ejpam-3619	186	28	of	of	ADP
ejpam-3619	186	29	the	the	DET
ejpam-3619	186	30	transport	transport	NOUN
ejpam-3619	186	31	equation	equation	NOUN
ejpam-3619	186	32	can	can	AUX
ejpam-3619	186	33	be	be	AUX
ejpam-3619	186	34	written	write	VERB
ejpam-3619	186	35	ζ	ζ	NOUN
ejpam-3619	186	36	′nj	′nj	NOUN
ejpam-3619	186	37	=	=	SYM
ejpam-3619	186	38	∆t	∆t	PROPN
ejpam-3619	186	39	2	2	NUM
ejpam-3619	186	40	[	[	PUNCT
ejpam-3619	186	41	∂2u	∂2u	ADJ
ejpam-3619	186	42	∂t2	∂t2	X
ejpam-3619	186	43	(	(	PUNCT
ejpam-3619	186	44	xj	xj	PROPN
ejpam-3619	186	45	,	,	PUNCT
ejpam-3619	186	46	tn)−	tn)−	NOUN
ejpam-3619	186	47	c2∂	c2∂	PRON
ejpam-3619	186	48	2u	2u	VERB
ejpam-3619	186	49	∂x2	∂x2	PROPN
ejpam-3619	186	50	(	(	PUNCT
ejpam-3619	186	51	xj	xj	PROPN
ejpam-3619	186	52	,	,	PUNCT
ejpam-3619	186	53	tn	tn	PROPN
ejpam-3619	186	54	)	)	PUNCT
ejpam-3619	186	55	]	]	PUNCT
ejpam-3619	187	1	+	+	PUNCT
ejpam-3619	187	2	o(∆t2	o(∆t2	ADJ
ejpam-3619	187	3	+	+	NUM
ejpam-3619	187	4	∆x2	∆x2	NOUN
ejpam-3619	187	5	)	)	PUNCT
ejpam-3619	187	6	,	,	PUNCT
ejpam-3619	187	7	=	=	SYM
ejpam-3619	187	8	∆t	∆t	PROPN
ejpam-3619	187	9	2	2	NUM
ejpam-3619	187	10	[	[	PUNCT
ejpam-3619	187	11	c2∂	c2∂	PROPN
ejpam-3619	187	12	2u	2u	PROPN
ejpam-3619	187	13	∂x2	∂x2	PROPN
ejpam-3619	187	14	(	(	PUNCT
ejpam-3619	187	15	xj	xj	PROPN
ejpam-3619	187	16	,	,	PUNCT
ejpam-3619	187	17	tn)−	tn)−	NOUN
ejpam-3619	187	18	c2∂	c2∂	PRON
ejpam-3619	187	19	2u	2u	VERB
ejpam-3619	187	20	∂x2	∂x2	PROPN
ejpam-3619	187	21	(	(	PUNCT
ejpam-3619	187	22	xj	xj	PROPN
ejpam-3619	187	23	,	,	PUNCT
ejpam-3619	187	24	tn	tn	PROPN
ejpam-3619	187	25	)	)	PUNCT
ejpam-3619	187	26	]	]	PUNCT
ejpam-3619	188	1	+	+	PUNCT
ejpam-3619	188	2	o(∆t2	o(∆t2	ADJ
ejpam-3619	188	3	+	+	NUM
ejpam-3619	188	4	∆x2	∆x2	NOUN
ejpam-3619	188	5	)	)	PUNCT
ejpam-3619	188	6	,	,	PUNCT
ejpam-3619	188	7	ζ	ζ	NOUN
ejpam-3619	188	8	′nj	′nj	NOUN
ejpam-3619	188	9	=	=	SYM
ejpam-3619	188	10	o(∆t2	o(∆t2	NOUN
ejpam-3619	188	11	+	+	CCONJ
ejpam-3619	188	12	∆x2	∆x2	NOUN
ejpam-3619	188	13	)	)	PUNCT
ejpam-3619	188	14	.	.	PUNCT
ejpam-3619	189	1	we	we	PRON
ejpam-3619	189	2	obtain	obtain	VERB
ejpam-3619	189	3	a	a	DET
ejpam-3619	189	4	truncation	truncation	NOUN
ejpam-3619	189	5	error	error	NOUN
ejpam-3619	189	6	depending	depend	VERB
ejpam-3619	189	7	on	on	ADP
ejpam-3619	189	8	∆t	∆t	PROPN
ejpam-3619	189	9	and	and	CCONJ
ejpam-3619	189	10	∆x	∆x	PROPN
ejpam-3619	189	11	.	.	PUNCT
ejpam-3619	190	1	study	study	NOUN
ejpam-3619	190	2	of	of	ADP
ejpam-3619	190	3	the	the	DET
ejpam-3619	190	4	consistency	consistency	NOUN
ejpam-3619	190	5	here	here	ADV
ejpam-3619	190	6	it	it	PRON
ejpam-3619	190	7	is	be	AUX
ejpam-3619	190	8	easier	easy	ADJ
ejpam-3619	190	9	to	to	PART
ejpam-3619	190	10	see	see	VERB
ejpam-3619	190	11	that	that	SCONJ
ejpam-3619	190	12	the	the	DET
ejpam-3619	190	13	truncation	truncation	NOUN
ejpam-3619	190	14	error	error	NOUN
ejpam-3619	190	15	of	of	ADP
ejpam-3619	190	16	the	the	DET
ejpam-3619	190	17	transport	transport	NOUN
ejpam-3619	190	18	equation	equation	NOUN
ejpam-3619	190	19	for	for	ADP
ejpam-3619	190	20	the	the	DET
ejpam-3619	190	21	laxwendroff	laxwendroff	NOUN
ejpam-3619	190	22	schem	schem	NOUN
ejpam-3619	190	23	is	be	AUX
ejpam-3619	190	24	zero	zero	NUM
ejpam-3619	190	25	.	.	PUNCT
ejpam-3619	191	1	we	we	PRON
ejpam-3619	191	2	can	can	AUX
ejpam-3619	191	3	directly	directly	ADV
ejpam-3619	191	4	deduce	deduce	VERB
ejpam-3619	191	5	the	the	DET
ejpam-3619	191	6	consistency	consistency	NOUN
ejpam-3619	191	7	of	of	ADP
ejpam-3619	191	8	the	the	DET
ejpam-3619	191	9	schem	schem	NOUN
ejpam-3619	191	10	because	because	SCONJ
ejpam-3619	191	11	it	it	PRON
ejpam-3619	191	12	is	be	AUX
ejpam-3619	191	13	obvious	obvious	ADJ
ejpam-3619	191	14	that	that	SCONJ
ejpam-3619	191	15	ζ	ζ	ADJ
ejpam-3619	191	16	′nj	′nj	NOUN
ejpam-3619	191	17	−→	−→	NOUN
ejpam-3619	191	18	(	(	PUNCT
ejpam-3619	191	19	0	0	NUM
ejpam-3619	191	20	,	,	PUNCT
ejpam-3619	191	21	0	0	NUM
ejpam-3619	191	22	)	)	PUNCT
ejpam-3619	191	23	when	when	SCONJ
ejpam-3619	191	24	(	(	PUNCT
ejpam-3619	191	25	∆t,∆x	∆t,∆x	NOUN
ejpam-3619	191	26	)	)	PUNCT
ejpam-3619	191	27	−→	−→	NOUN
ejpam-3619	191	28	(	(	PUNCT
ejpam-3619	191	29	0	0	NUM
ejpam-3619	191	30	,	,	PUNCT
ejpam-3619	191	31	0	0	NUM
ejpam-3619	191	32	)	)	PUNCT
ejpam-3619	191	33	.	.	PUNCT
ejpam-3619	192	1	therefore	therefore	ADV
ejpam-3619	192	2	the	the	DET
ejpam-3619	192	3	numerical	numerical	ADJ
ejpam-3619	192	4	solution	solution	NOUN
ejpam-3619	192	5	of	of	ADP
ejpam-3619	192	6	unj	unj	NOUN
ejpam-3619	192	7	of	of	ADP
ejpam-3619	192	8	the	the	DET
ejpam-3619	192	9	lax	lax	ADJ
ejpam-3619	192	10	-	-	PUNCT
ejpam-3619	192	11	wendroff	wendroff	NOUN
ejpam-3619	192	12	scheme	scheme	NOUN
ejpam-3619	192	13	for	for	ADP
ejpam-3619	192	14	the	the	DET
ejpam-3619	192	15	transport	transport	NOUN
ejpam-3619	192	16	equation	equation	NOUN
ejpam-3619	192	17	is	be	AUX
ejpam-3619	192	18	convergent	convergent	ADJ
ejpam-3619	192	19	.	.	PUNCT
ejpam-3619	193	1	6	6	X
ejpam-3619	193	2	.	.	X
ejpam-3619	193	3	conclusion	conclusion	NOUN
ejpam-3619	193	4	the	the	DET
ejpam-3619	193	5	work	work	NOUN
ejpam-3619	193	6	proposed	propose	VERB
ejpam-3619	193	7	in	in	ADP
ejpam-3619	193	8	this	this	DET
ejpam-3619	193	9	paper	paper	NOUN
ejpam-3619	193	10	allowed	allow	VERB
ejpam-3619	193	11	us	we	PRON
ejpam-3619	193	12	not	not	PART
ejpam-3619	193	13	only	only	ADV
ejpam-3619	193	14	to	to	PART
ejpam-3619	193	15	highlight	highlight	VERB
ejpam-3619	193	16	the	the	DET
ejpam-3619	193	17	finite	finite	ADJ
ejpam-3619	193	18	difference	difference	NOUN
ejpam-3619	193	19	and	and	CCONJ
ejpam-3619	193	20	lax	lax	ADJ
ejpam-3619	193	21	-	-	PUNCT
ejpam-3619	193	22	wendroff	wendroff	NOUN
ejpam-3619	193	23	methods	method	NOUN
ejpam-3619	193	24	,	,	PUNCT
ejpam-3619	193	25	but	but	CCONJ
ejpam-3619	193	26	also	also	ADV
ejpam-3619	193	27	to	to	PART
ejpam-3619	193	28	discover	discover	VERB
ejpam-3619	193	29	the	the	DET
ejpam-3619	193	30	importance	importance	NOUN
ejpam-3619	193	31	of	of	ADP
ejpam-3619	193	32	these	these	DET
ejpam-3619	193	33	methods	method	NOUN
ejpam-3619	193	34	in	in	ADP
ejpam-3619	193	35	the	the	DET
ejpam-3619	193	36	numerical	numerical	ADJ
ejpam-3619	193	37	resolution	resolution	NOUN
ejpam-3619	193	38	of	of	ADP
ejpam-3619	193	39	the	the	DET
ejpam-3619	193	40	advection	advection	NOUN
ejpam-3619	193	41	problem	problem	NOUN
ejpam-3619	193	42	.	.	PUNCT
ejpam-3619	194	1	in	in	ADP
ejpam-3619	194	2	this	this	DET
ejpam-3619	194	3	paper	paper	NOUN
ejpam-3619	194	4	,	,	PUNCT
ejpam-3619	194	5	we	we	PRON
ejpam-3619	194	6	performed	perform	VERB
ejpam-3619	194	7	a	a	DET
ejpam-3619	194	8	numerical	numerical	ADJ
ejpam-3619	194	9	resolution	resolution	NOUN
ejpam-3619	194	10	of	of	ADP
ejpam-3619	194	11	the	the	DET
ejpam-3619	194	12	advection	advection	NOUN
ejpam-3619	194	13	problem	problem	NOUN
ejpam-3619	194	14	using	use	VERB
ejpam-3619	194	15	finite	finite	ADJ
ejpam-3619	194	16	difference	difference	NOUN
ejpam-3619	194	17	and	and	CCONJ
ejpam-3619	194	18	lax	lax	ADJ
ejpam-3619	194	19	-	-	PUNCT
ejpam-3619	194	20	wendroff	wendroff	NOUN
ejpam-3619	194	21	methods	method	NOUN
ejpam-3619	194	22	.	.	PUNCT
ejpam-3619	195	1	thus	thus	ADV
ejpam-3619	195	2	,	,	PUNCT
ejpam-3619	195	3	we	we	PRON
ejpam-3619	195	4	obtained	obtain	VERB
ejpam-3619	195	5	linear	linear	PROPN
ejpam-3619	195	6	systems	system	NOUN
ejpam-3619	195	7	whose	whose	DET
ejpam-3619	195	8	matrices	matrix	NOUN
ejpam-3619	195	9	are	be	AUX
ejpam-3619	195	10	bidiagonal	bidiagonal	ADJ
ejpam-3619	195	11	non	non	ADJ
ejpam-3619	195	12	-	-	ADJ
ejpam-3619	195	13	symmetric	symmetric	ADJ
ejpam-3619	195	14	(	(	PUNCT
ejpam-3619	195	15	finite	finite	ADJ
ejpam-3619	195	16	difference	difference	NOUN
ejpam-3619	195	17	method	method	NOUN
ejpam-3619	195	18	)	)	PUNCT
ejpam-3619	195	19	,	,	PUNCT
ejpam-3619	195	20	non	non	ADJ
ejpam-3619	195	21	-	-	ADJ
ejpam-3619	195	22	symmetric	symmetric	ADJ
ejpam-3619	195	23	tridiagonal	tridiagonal	NOUN
ejpam-3619	195	24	for	for	ADP
ejpam-3619	195	25	lax	lax	ADJ
ejpam-3619	195	26	-	-	PUNCT
ejpam-3619	195	27	wendroff	wendroff	NOUN
ejpam-3619	195	28	method	method	NOUN
ejpam-3619	195	29	.	.	PUNCT
ejpam-3619	196	1	then	then	ADV
ejpam-3619	196	2	we	we	PRON
ejpam-3619	196	3	proved	prove	VERB
ejpam-3619	196	4	that	that	SCONJ
ejpam-3619	196	5	the	the	DET
ejpam-3619	196	6	numerical	numerical	ADJ
ejpam-3619	196	7	convergence	convergence	NOUN
ejpam-3619	196	8	between	between	ADP
ejpam-3619	196	9	these	these	DET
ejpam-3619	196	10	solutions	solution	NOUN
ejpam-3619	196	11	is	be	AUX
ejpam-3619	196	12	total	total	ADJ
ejpam-3619	196	13	by	by	ADP
ejpam-3619	196	14	taking	take	VERB
ejpam-3619	196	15	:	:	PUNCT
ejpam-3619	196	16	α	α	X
ejpam-3619	196	17	=	=	SYM
ejpam-3619	196	18	0.002	0.002	NUM
ejpam-3619	196	19	,	,	PUNCT
ejpam-3619	196	20	∆t	∆t	PROPN
ejpam-3619	196	21	=	=	SYM
ejpam-3619	196	22	10−6	10−6	NUM
ejpam-3619	196	23	,	,	PUNCT
ejpam-3619	196	24	n	n	NOUN
ejpam-3619	196	25	=	=	SYM
ejpam-3619	196	26	99	99	NUM
ejpam-3619	196	27	and	and	CCONJ
ejpam-3619	196	28	t	t	NOUN
ejpam-3619	196	29	=	=	SYM
ejpam-3619	196	30	2000	2000	NUM
ejpam-3619	196	31	.	.	PUNCT
ejpam-3619	197	1	in	in	ADP
ejpam-3619	197	2	addition	addition	NOUN
ejpam-3619	197	3	,	,	PUNCT
ejpam-3619	197	4	we	we	PRON
ejpam-3619	197	5	used	use	VERB
ejpam-3619	197	6	the	the	DET
ejpam-3619	197	7	vonneumann	vonneumann	PROPN
ejpam-3619	197	8	and	and	CCONJ
ejpam-3619	197	9	cfl	cfl	NOUN
ejpam-3619	197	10	conditions	condition	NOUN
ejpam-3619	197	11	to	to	PART
ejpam-3619	197	12	prove	prove	VERB
ejpam-3619	197	13	the	the	DET
ejpam-3619	197	14	analytical	analytical	ADJ
ejpam-3619	197	15	stability	stability	NOUN
ejpam-3619	197	16	of	of	ADP
ejpam-3619	197	17	the	the	DET
ejpam-3619	197	18	solution	solution	NOUN
ejpam-3619	197	19	unj	unj	NOUN
ejpam-3619	197	20	of	of	ADP
ejpam-3619	197	21	the	the	DET
ejpam-3619	197	22	advection	advection	NOUN
ejpam-3619	197	23	equation	equation	NOUN
ejpam-3619	197	24	from	from	ADP
ejpam-3619	197	25	the	the	DET
ejpam-3619	197	26	finite	finite	ADJ
ejpam-3619	197	27	difference	difference	NOUN
ejpam-3619	197	28	and	and	CCONJ
ejpam-3619	197	29	lax	lax	ADJ
ejpam-3619	197	30	-	-	PUNCT
ejpam-3619	197	31	wendroff	wendroff	NOUN
ejpam-3619	197	32	schemes	scheme	NOUN
ejpam-3619	197	33	.	.	PUNCT
ejpam-3619	198	1	finally	finally	ADV
ejpam-3619	198	2	,	,	PUNCT
ejpam-3619	198	3	we	we	PRON
ejpam-3619	198	4	have	have	AUX
ejpam-3619	198	5	also	also	ADV
ejpam-3619	198	6	proved	prove	VERB
ejpam-3619	198	7	the	the	DET
ejpam-3619	198	8	analytical	analytical	ADJ
ejpam-3619	198	9	convergence	convergence	NOUN
ejpam-3619	198	10	of	of	ADP
ejpam-3619	198	11	the	the	DET
ejpam-3619	198	12	solution	solution	NOUN
ejpam-3619	198	13	unj	unj	NOUN
ejpam-3619	198	14	using	use	VERB
ejpam-3619	198	15	the	the	DET
ejpam-3619	198	16	truncation	truncation	NOUN
ejpam-3619	198	17	error	error	NOUN
ejpam-3619	198	18	of	of	ADP
ejpam-3619	198	19	these	these	DET
ejpam-3619	198	20	methods	method	NOUN
ejpam-3619	198	21	.	.	PUNCT
ejpam-3619	199	1	acknowledgements	acknowledgement	NOUN
ejpam-3619	199	2	the	the	DET
ejpam-3619	199	3	authors	author	NOUN
ejpam-3619	199	4	thank	thank	VERB
ejpam-3619	199	5	the	the	DET
ejpam-3619	199	6	anonym	anonym	NOUN
ejpam-3619	199	7	referees	referee	NOUN
ejpam-3619	199	8	of	of	ADP
ejpam-3619	199	9	european	european	PROPN
ejpam-3619	199	10	journal	journal	PROPN
ejpam-3619	199	11	of	of	ADP
ejpam-3619	199	12	pure	pure	ADJ
ejpam-3619	199	13	and	and	CCONJ
ejpam-3619	199	14	applied	applied	ADJ
ejpam-3619	199	15	mathematics	mathematic	NOUN
ejpam-3619	199	16	,	,	PUNCT
ejpam-3619	199	17	for	for	ADP
ejpam-3619	199	18	their	their	PRON
ejpam-3619	199	19	valuable	valuable	ADJ
ejpam-3619	199	20	comments	comment	NOUN
ejpam-3619	199	21	and	and	CCONJ
ejpam-3619	199	22	suggestions	suggestion	NOUN
ejpam-3619	199	23	which	which	PRON
ejpam-3619	199	24	have	have	AUX
ejpam-3619	199	25	led	lead	VERB
ejpam-3619	199	26	to	to	ADP
ejpam-3619	199	27	an	an	DET
ejpam-3619	199	28	improvement	improvement	NOUN
ejpam-3619	199	29	of	of	ADP
ejpam-3619	199	30	the	the	DET
ejpam-3619	199	31	presentation	presentation	NOUN
ejpam-3619	199	32	.	.	PUNCT
ejpam-3619	200	1	references	reference	NOUN
ejpam-3619	200	2	157	157	NUM
ejpam-3619	200	3	references	reference	NOUN
ejpam-3619	200	4	[	[	X
ejpam-3619	200	5	1	1	NUM
ejpam-3619	200	6	]	]	PUNCT
ejpam-3619	200	7	h.	h.	NOUN
ejpam-3619	200	8	beghr	beghr	PROPN
ejpam-3619	200	9	and	and	CCONJ
ejpam-3619	200	10	g.	g.	PROPN
ejpam-3619	200	11	harutjunjan	harutjunjan	PROPN
ejpam-3619	200	12	,	,	PUNCT
ejpam-3619	200	13	robin	robin	PROPN
ejpam-3619	200	14	boundary	boundary	ADJ
ejpam-3619	200	15	value	value	NOUN
ejpam-3619	200	16	problem	problem	NOUN
ejpam-3619	200	17	for	for	ADP
ejpam-3619	200	18	the	the	DET
ejpam-3619	200	19	poisson	poisson	NOUN
ejpam-3619	200	20	equation	equation	NOUN
ejpam-3619	200	21	,	,	PUNCT
ejpam-3619	200	22	j.	j.	PROPN
ejpam-3619	200	23	anal	anal	PROPN
ejpam-3619	200	24	.	.	PUNCT
ejpam-3619	201	1	appl	appl	PROPN
ejpam-3619	201	2	.	.	PROPN
ejpam-3619	201	3	,	,	PUNCT
ejpam-3619	201	4	4	4	NUM
ejpam-3619	201	5	,	,	PUNCT
ejpam-3619	201	6	29	29	NUM
ejpam-3619	201	7	-	-	SYM
ejpam-3619	201	8	45	45	NUM
ejpam-3619	201	9	,	,	PUNCT
ejpam-3619	201	10	2006	2006	NUM
ejpam-3619	201	11	.	.	PUNCT
ejpam-3619	202	1	[	[	X
ejpam-3619	202	2	2	2	NUM
ejpam-3619	202	3	]	]	X
ejpam-3619	202	4	bourchra	bourchra	PROPN
ejpam-3619	202	5	bensiali	bensiali	PROPN
ejpam-3619	202	6	,	,	PUNCT
ejpam-3619	202	7	guillaume	guillaume	PROPN
ejpam-3619	202	8	chiavassa	chiavassa	NOUN
ejpam-3619	202	9	,	,	PUNCT
ejpam-3619	202	10	and	and	CCONJ
ejpam-3619	202	11	jacques	jacques	PROPN
ejpam-3619	202	12	liandrat	liandrat	PROPN
ejpam-3619	202	13	.	.	PUNCT
ejpam-3619	203	1	penalization	penalization	NOUN
ejpam-3619	203	2	of	of	ADP
ejpam-3619	203	3	robin	robin	PROPN
ejpam-3619	203	4	boundary	boundary	PROPN
ejpam-3619	203	5	conditions	condition	NOUN
ejpam-3619	203	6	,	,	PUNCT
ejpam-3619	203	7	applied	apply	VERB
ejpam-3619	203	8	numerical	numerical	ADJ
ejpam-3619	203	9	mathematics	mathematic	NOUN
ejpam-3619	203	10	,	,	PUNCT
ejpam-3619	203	11	96	96	NUM
ejpam-3619	203	12	,	,	PUNCT
ejpam-3619	203	13	134	134	NUM
ejpam-3619	203	14	-	-	SYM
ejpam-3619	203	15	152	152	NUM
ejpam-3619	203	16	,	,	PUNCT
ejpam-3619	203	17	2006	2006	NUM
ejpam-3619	203	18	.	.	PUNCT
ejpam-3619	204	1	[	[	X
ejpam-3619	204	2	3	3	NUM
ejpam-3619	204	3	]	]	X
ejpam-3619	204	4	shao	shao	PROPN
ejpam-3619	204	5	-	-	PUNCT
ejpam-3619	204	6	gao	gao	PROPN
ejpam-3619	204	7	deng	deng	PROPN
ejpam-3619	204	8	.	.	PUNCT
ejpam-3619	205	1	positive	positive	ADJ
ejpam-3619	205	2	solutions	solution	NOUN
ejpam-3619	205	3	for	for	ADP
ejpam-3619	205	4	robin	robin	PROPN
ejpam-3619	205	5	problem	problem	NOUN
ejpam-3619	205	6	involving	involve	VERB
ejpam-3619	205	7	the	the	DET
ejpam-3619	205	8	p(x)-laplacian	p(x)-laplacian	PROPN
ejpam-3619	205	9	,	,	PUNCT
ejpam-3619	205	10	j.	j.	PROPN
ejpam-3619	205	11	math	math	PROPN
ejpam-3619	205	12	.	.	PUNCT
ejpam-3619	206	1	anal	anal	PROPN
ejpam-3619	206	2	.	.	PUNCT
ejpam-3619	207	1	appl	appl	PROPN
ejpam-3619	207	2	.	.	PROPN
ejpam-3619	207	3	,	,	PUNCT
ejpam-3619	207	4	360,548	360,548	NUM
ejpam-3619	207	5	-	-	SYM
ejpam-3619	207	6	560	560	NUM
ejpam-3619	207	7	,	,	PUNCT
ejpam-3619	207	8	2009	2009	NUM
ejpam-3619	207	9	[	[	X
ejpam-3619	207	10	4	4	X
ejpam-3619	207	11	]	]	X
ejpam-3619	207	12	marc	marc	PROPN
ejpam-3619	207	13	ethier	ethier	NOUN
ejpam-3619	207	14	and	and	CCONJ
ejpam-3619	207	15	y.	y.	NOUN
ejpam-3619	207	16	bourgault.semi	bourgault.semi	PROPN
ejpam-3619	207	17	-	-	PUNCT
ejpam-3619	207	18	implicit	implicit	ADJ
ejpam-3619	207	19	time	time	NOUN
ejpam-3619	207	20	-	-	PUNCT
ejpam-3619	207	21	discretization	discretization	NOUN
ejpam-3619	207	22	schemes	scheme	NOUN
ejpam-3619	207	23	for	for	ADP
ejpam-3619	207	24	the	the	DET
ejpam-3619	207	25	bidomaine	bidomaine	ADJ
ejpam-3619	207	26	model	model	NOUN
ejpam-3619	207	27	.	.	PUNCT
ejpam-3619	208	1	siam	siam	PROPN
ejpam-3619	208	2	.j	.j	PROPN
ejpam-3619	208	3	.	.	PUNCT
ejpam-3619	209	1	numer	numer	PROPN
ejpam-3619	209	2	.	.	PUNCT
ejpam-3619	210	1	anal	anal	PROPN
ejpam-3619	210	2	.	.	PUNCT
ejpam-3619	211	1	46	46	NUM
ejpam-3619	211	2	:	:	PUNCT
ejpam-3619	211	3	2443	2443	NUM
ejpam-3619	211	4	-	-	SYM
ejpam-3619	211	5	2468	2468	NUM
ejpam-3619	211	6	,	,	PUNCT
ejpam-3619	211	7	2008	2008	NUM
ejpam-3619	211	8	.	.	PUNCT
ejpam-3619	212	1	[	[	X
ejpam-3619	212	2	5	5	X
ejpam-3619	212	3	]	]	PUNCT
ejpam-3619	212	4	m.	m.	NOUN
ejpam-3619	212	5	hinze	hinze	PROPN
ejpam-3619	212	6	,	,	PUNCT
ejpam-3619	212	7	r.	r.	PROPN
ejpam-3619	212	8	pinnau	pinnau	PROPN
ejpam-3619	212	9	,	,	PUNCT
ejpam-3619	212	10	m.	m.	NOUN
ejpam-3619	212	11	ulbrich	ulbrich	PROPN
ejpam-3619	212	12	,	,	PUNCT
ejpam-3619	212	13	and	and	CCONJ
ejpam-3619	212	14	s.	s.	PROPN
ejpam-3619	212	15	ulbrich	ulbrich	PROPN
ejpam-3619	212	16	.	.	PUNCT
ejpam-3619	213	1	mathematical	mathematical	ADJ
ejpam-3619	213	2	modelling	modelling	NOUN
ejpam-3619	213	3	:	:	PUNCT
ejpam-3619	213	4	theory	theory	NOUN
ejpam-3619	213	5	and	and	CCONJ
ejpam-3619	213	6	applications	application	NOUN
ejpam-3619	213	7	.	.	PUNCT
ejpam-3619	214	1	springer	springer	NOUN
ejpam-3619	214	2	,	,	PUNCT
ejpam-3619	214	3	2009	2009	NUM
ejpam-3619	214	4	.	.	PUNCT
ejpam-3619	215	1	[	[	X
ejpam-3619	215	2	6	6	NUM
ejpam-3619	215	3	]	]	X
ejpam-3619	215	4	peter	peter	PROPN
ejpam-3619	215	5	knabner	knabner	PROPN
ejpam-3619	215	6	,	,	PUNCT
ejpam-3619	215	7	and	and	CCONJ
ejpam-3619	215	8	lutz	lutz	PROPN
ejpam-3619	215	9	angermann	angermann	PROPN
ejpam-3619	215	10	.	.	PUNCT
ejpam-3619	216	1	numerical	numerical	ADJ
ejpam-3619	216	2	methods	method	NOUN
ejpam-3619	216	3	for	for	ADP
ejpam-3619	216	4	elliptic	elliptic	ADJ
ejpam-3619	216	5	and	and	CCONJ
ejpam-3619	216	6	parabolic	parabolic	ADJ
ejpam-3619	216	7	partial	partial	ADJ
ejpam-3619	216	8	differential	differential	NOUN
ejpam-3619	216	9	equations,(2nd	equations,(2nd	PROPN
ejpam-3619	216	10	ed	ed	NOUN
ejpam-3619	216	11	.	.	PUNCT
ejpam-3619	216	12	)	)	PUNCT
ejpam-3619	216	13	springer	springer	NOUN
ejpam-3619	216	14	,	,	PUNCT
ejpam-3619	216	15	2000	2000	NUM
ejpam-3619	216	16	.	.	PUNCT
ejpam-3619	217	1	[	[	X
ejpam-3619	217	2	7	7	X
ejpam-3619	217	3	]	]	X
ejpam-3619	217	4	loredana	loredana	NOUN
ejpam-3619	217	5	lanzani	lanzani	PROPN
ejpam-3619	217	6	,	,	PUNCT
ejpam-3619	217	7	and	and	CCONJ
ejpam-3619	217	8	osvaldo	osvaldo	PROPN
ejpam-3619	217	9	méndez	méndez	PROPN
ejpam-3619	217	10	.	.	PUNCT
ejpam-3619	218	1	the	the	DET
ejpam-3619	218	2	poisson	poisson	NOUN
ejpam-3619	218	3	’s	’s	PART
ejpam-3619	218	4	problem	problem	NOUN
ejpam-3619	218	5	for	for	ADP
ejpam-3619	218	6	the	the	DET
ejpam-3619	218	7	laplacian	laplacian	NOUN
ejpam-3619	218	8	with	with	ADP
ejpam-3619	218	9	robin	robin	PROPN
ejpam-3619	218	10	boundary	boundary	ADJ
ejpam-3619	218	11	condition	condition	NOUN
ejpam-3619	218	12	in	in	ADP
ejpam-3619	218	13	non	non	ADJ
ejpam-3619	218	14	-	-	ADJ
ejpam-3619	218	15	smooth	smooth	ADJ
ejpam-3619	218	16	domains	domain	NOUN
ejpam-3619	218	17	,	,	PUNCT
ejpam-3619	218	18	rev	rev	PROPN
ejpam-3619	218	19	.	.	PROPN
ejpam-3619	218	20	math	math	PROPN
ejpam-3619	218	21	.	.	PUNCT
ejpam-3619	219	1	iberoamericana	iberoamericana	PROPN
ejpam-3619	219	2	,	,	PUNCT
ejpam-3619	219	3	22	22	NUM
ejpam-3619	219	4	,	,	PUNCT
ejpam-3619	219	5	181	181	NUM
ejpam-3619	219	6	-	-	SYM
ejpam-3619	219	7	204	204	NUM
ejpam-3619	219	8	,	,	PUNCT
ejpam-3619	219	9	2006	2006	NUM
ejpam-3619	219	10	.	.	PUNCT
ejpam-3619	220	1	[	[	X
ejpam-3619	220	2	8	8	NUM
ejpam-3619	220	3	]	]	X
ejpam-3619	220	4	brigitte	brigitte	PROPN
ejpam-3619	220	5	lucquin	lucquin	PROPN
ejpam-3619	220	6	.	.	PUNCT
ejpam-3619	221	1	equations	equation	NOUN
ejpam-3619	221	2	aux	aux	PROPN
ejpam-3619	221	3	drives	drive	VERB
ejpam-3619	221	4	partielles	partielle	NOUN
ejpam-3619	221	5	et	et	PROPN
ejpam-3619	221	6	leurs	leurs	PROPN
ejpam-3619	221	7	approximations	approximation	NOUN
ejpam-3619	221	8	,	,	PUNCT
ejpam-3619	221	9	ellipses	ellipsis	NOUN
ejpam-3619	221	10	,	,	PUNCT
ejpam-3619	221	11	2004	2004	NUM
ejpam-3619	221	12	.	.	PUNCT
ejpam-3619	222	1	[	[	X
ejpam-3619	222	2	9	9	NUM
ejpam-3619	222	3	]	]	X
ejpam-3619	222	4	g.	g.	PROPN
ejpam-3619	222	5	nguimbi	nguimbi	PROPN
ejpam-3619	222	6	,	,	PUNCT
ejpam-3619	222	7	d.	d.	PROPN
ejpam-3619	222	8	v.	v.	PROPN
ejpam-3619	222	9	pongui	pongui	PROPN
ejpam-3619	222	10	ngoma	ngoma	PROPN
ejpam-3619	222	11	,	,	PUNCT
ejpam-3619	222	12	v.	v.	PROPN
ejpam-3619	222	13	d.	d.	PROPN
ejpam-3619	222	14	mabonzo	mabonzo	PROPN
ejpam-3619	222	15	,	,	PUNCT
ejpam-3619	222	16	b.	b.	PROPN
ejpam-3619	222	17	b.	b.	PROPN
ejpam-3619	222	18	b.	b.	PROPN
ejpam-3619	222	19	madzou	madzou	PROPN
ejpam-3619	222	20	and	and	CCONJ
ejpam-3619	222	21	l.	l.	PROPN
ejpam-3619	222	22	g.	g.	PROPN
ejpam-3619	222	23	ngoma	ngoma	PROPN
ejpam-3619	222	24	bouanga	bouanga	PROPN
ejpam-3619	222	25	mathematical	mathematical	PROPN
ejpam-3619	222	26	and	and	CCONJ
ejpam-3619	222	27	numerical	numerical	ADJ
ejpam-3619	222	28	analysis	analysis	NOUN
ejpam-3619	222	29	for	for	ADP
ejpam-3619	222	30	neumann	neumann	PROPN
ejpam-3619	222	31	boundary	boundary	ADJ
ejpam-3619	222	32	value	value	NOUN
ejpam-3619	222	33	problem	problem	NOUN
ejpam-3619	222	34	of	of	ADP
ejpam-3619	222	35	the	the	DET
ejpam-3619	222	36	poisson	poisson	NOUN
ejpam-3619	222	37	equation	equation	NOUN
ejpam-3619	222	38	,	,	PUNCT
ejpam-3619	222	39	journal	journal	NOUN
ejpam-3619	222	40	of	of	ADP
ejpam-3619	222	41	advnces	advnce	NOUN
ejpam-3619	222	42	in	in	ADP
ejpam-3619	222	43	mathemtics	mathemtic	NOUN
ejpam-3619	222	44	and	and	CCONJ
ejpam-3619	222	45	computer	computer	NOUN
ejpam-3619	222	46	science	science	NOUN
ejpam-3619	222	47	,	,	PUNCT
ejpam-3619	222	48	30	30	NUM
ejpam-3619	222	49	,	,	PUNCT
ejpam-3619	222	50	1	1	NUM
ejpam-3619	222	51	-	-	SYM
ejpam-3619	222	52	13	13	NUM
ejpam-3619	222	53	,	,	PUNCT
ejpam-3619	222	54	2019	2019	NUM
ejpam-3619	222	55	.	.	PUNCT
ejpam-3619	223	1	[	[	X
ejpam-3619	223	2	10	10	NUM
ejpam-3619	223	3	]	]	X
ejpam-3619	223	4	g.	g.	PROPN
ejpam-3619	223	5	nguimbi	nguimbi	PROPN
ejpam-3619	223	6	,	,	PUNCT
ejpam-3619	223	7	d.	d.	PROPN
ejpam-3619	223	8	v.	v.	PROPN
ejpam-3619	223	9	pongui	pongui	PROPN
ejpam-3619	223	10	ngoma	ngoma	PROPN
ejpam-3619	223	11	,	,	PUNCT
ejpam-3619	223	12	v.	v.	PROPN
ejpam-3619	223	13	d.	d.	PROPN
ejpam-3619	223	14	mabonzo	mabonzo	PROPN
ejpam-3619	223	15	,	,	PUNCT
ejpam-3619	223	16	b.	b.	PROPN
ejpam-3619	223	17	b.	b.	PROPN
ejpam-3619	223	18	b.madzou	b.madzou	PROPN
ejpam-3619	223	19	and	and	CCONJ
ejpam-3619	223	20	m.	m.	PROPN
ejpam-3619	223	21	j.	j.	PROPN
ejpam-3619	223	22	j.	j.	PROPN
ejpam-3619	223	23	kokolo	kokolo	PROPN
ejpam-3619	223	24	on	on	ADP
ejpam-3619	223	25	the	the	DET
ejpam-3619	223	26	existence	existence	NOUN
ejpam-3619	223	27	,	,	PUNCT
ejpam-3619	223	28	uniqueness	uniqueness	NOUN
ejpam-3619	223	29	and	and	CCONJ
ejpam-3619	223	30	application	application	NOUN
ejpam-3619	223	31	of	of	ADP
ejpam-3619	223	32	the	the	DET
ejpam-3619	223	33	finite	finite	ADJ
ejpam-3619	223	34	difference	difference	NOUN
ejpam-3619	223	35	method	method	NOUN
ejpam-3619	223	36	for	for	ADP
ejpam-3619	223	37	solving	solve	VERB
ejpam-3619	223	38	robin	robin	PROPN
ejpam-3619	223	39	elliptic	elliptic	ADJ
ejpam-3619	223	40	boundary	boundary	ADJ
ejpam-3619	223	41	value	value	NOUN
ejpam-3619	223	42	problem	problem	NOUN
ejpam-3619	223	43	,	,	PUNCT
ejpam-3619	223	44	journal	journal	NOUN
ejpam-3619	223	45	of	of	ADP
ejpam-3619	223	46	mathematics	mathematics	PROPN
ejpam-3619	223	47	research	research	NOUN
ejpam-3619	223	48	,	,	PUNCT
ejpam-3619	223	49	11	11	NUM
ejpam-3619	223	50	,	,	PUNCT
ejpam-3619	223	51	26	26	NUM
ejpam-3619	223	52	-	-	SYM
ejpam-3619	223	53	36	36	NUM
ejpam-3619	223	54	,	,	PUNCT
ejpam-3619	223	55	2019	2019	NUM
ejpam-3619	223	56	.	.	PUNCT
ejpam-3619	224	1	[	[	X
ejpam-3619	224	2	11	11	NUM
ejpam-3619	224	3	]	]	PUNCT
ejpam-3619	224	4	aslak	aslak	PROPN
ejpam-3619	224	5	tveito	tveito	PROPN
ejpam-3619	224	6	,	,	PUNCT
ejpam-3619	224	7	and	and	CCONJ
ejpam-3619	224	8	ragnar	ragnar	PROPN
ejpam-3619	224	9	winther	winther	PROPN
ejpam-3619	224	10	.	.	PUNCT
ejpam-3619	225	1	introduction	introduction	NOUN
ejpam-3619	225	2	to	to	ADP
ejpam-3619	225	3	partial	partial	ADJ
ejpam-3619	225	4	differential	differential	NOUN
ejpam-3619	225	5	equations	equation	NOUN
ejpam-3619	225	6	:	:	PUNCT
ejpam-3619	225	7	a	a	DET
ejpam-3619	225	8	computational	computational	ADJ
ejpam-3619	225	9	approach	approach	NOUN
ejpam-3619	225	10	,	,	PUNCT
ejpam-3619	225	11	springer	springer	NOUN
ejpam-3619	225	12	-	-	PUNCT
ejpam-3619	225	13	verlag	verlag	PROPN
ejpam-3619	225	14	,	,	PUNCT
ejpam-3619	225	15	2008	2008	NUM
ejpam-3619	225	16	.	.	PUNCT