id	sid	tid	token	lemma	pos
r494vh56c68	1	1	fast	fast	ADJ
r494vh56c68	1	2	sweeping	sweeping	ADJ
r494vh56c68	1	3	methods	method	NOUN
r494vh56c68	1	4	are	be	AUX
r494vh56c68	1	5	a	a	DET
r494vh56c68	1	6	class	class	NOUN
r494vh56c68	1	7	of	of	ADP
r494vh56c68	1	8	efficient	efficient	ADJ
r494vh56c68	1	9	iterative	iterative	ADJ
r494vh56c68	1	10	methods	method	NOUN
r494vh56c68	1	11	for	for	ADP
r494vh56c68	1	12	solving	solve	VERB
r494vh56c68	1	13	steady	steady	ADJ
r494vh56c68	1	14	state	state	NOUN
r494vh56c68	1	15	hyperbolic	hyperbolic	ADJ
r494vh56c68	1	16	partial	partial	ADJ
r494vh56c68	1	17	differential	differential	ADJ
r494vh56c68	1	18	equations	equation	NOUN
r494vh56c68	1	19	(	(	PUNCT
r494vh56c68	1	20	pdes	pde	NOUN
r494vh56c68	1	21	)	)	PUNCT
r494vh56c68	1	22	.	.	PUNCT
r494vh56c68	2	1	this	this	DET
r494vh56c68	2	2	class	class	NOUN
r494vh56c68	2	3	of	of	ADP
r494vh56c68	2	4	methods	method	NOUN
r494vh56c68	2	5	utilizes	utilize	VERB
r494vh56c68	2	6	the	the	DET
r494vh56c68	2	7	gauss	gauss	ADJ
r494vh56c68	2	8	-	-	PUNCT
r494vh56c68	2	9	seidel	seidel	NOUN
r494vh56c68	2	10	iterations	iteration	NOUN
r494vh56c68	2	11	and	and	CCONJ
r494vh56c68	2	12	alternating	alternate	VERB
r494vh56c68	2	13	sweeping	sweeping	ADJ
r494vh56c68	2	14	strategy	strategy	NOUN
r494vh56c68	2	15	to	to	PART
r494vh56c68	2	16	achieve	achieve	VERB
r494vh56c68	2	17	fast	fast	ADJ
r494vh56c68	2	18	convergence	convergence	NOUN
r494vh56c68	2	19	rate	rate	NOUN
r494vh56c68	2	20	.	.	PUNCT
r494vh56c68	3	1	they	they	PRON
r494vh56c68	3	2	take	take	VERB
r494vh56c68	3	3	advantage	advantage	NOUN
r494vh56c68	3	4	of	of	ADP
r494vh56c68	3	5	the	the	DET
r494vh56c68	3	6	properties	property	NOUN
r494vh56c68	3	7	of	of	ADP
r494vh56c68	3	8	hyperbolic	hyperbolic	ADJ
r494vh56c68	3	9	pdes	pde	NOUN
r494vh56c68	3	10	and	and	CCONJ
r494vh56c68	3	11	try	try	VERB
r494vh56c68	3	12	to	to	PART
r494vh56c68	3	13	cover	cover	VERB
r494vh56c68	3	14	a	a	DET
r494vh56c68	3	15	family	family	NOUN
r494vh56c68	3	16	of	of	ADP
r494vh56c68	3	17	characteristics	characteristic	NOUN
r494vh56c68	3	18	of	of	ADP
r494vh56c68	3	19	the	the	DET
r494vh56c68	3	20	corresponding	corresponding	ADJ
r494vh56c68	3	21	equation	equation	NOUN
r494vh56c68	3	22	in	in	ADP
r494vh56c68	3	23	a	a	DET
r494vh56c68	3	24	certain	certain	ADJ
r494vh56c68	3	25	direction	direction	NOUN
r494vh56c68	3	26	simultaneously	simultaneously	ADV
r494vh56c68	3	27	in	in	ADP
r494vh56c68	3	28	each	each	DET
r494vh56c68	3	29	sweeping	sweeping	ADJ
r494vh56c68	3	30	order	order	NOUN
r494vh56c68	3	31	.	.	PUNCT
r494vh56c68	4	1	the	the	DET
r494vh56c68	4	2	first	first	ADJ
r494vh56c68	4	3	order	order	NOUN
r494vh56c68	4	4	fast	fast	ADJ
r494vh56c68	4	5	sweeping	sweeping	ADJ
r494vh56c68	4	6	method	method	NOUN
r494vh56c68	4	7	for	for	ADP
r494vh56c68	4	8	solving	solve	VERB
r494vh56c68	4	9	eikonal	eikonal	ADJ
r494vh56c68	4	10	equations	equation	NOUN
r494vh56c68	4	11	has	have	VERB
r494vh56c68	4	12	linear	linear	ADJ
r494vh56c68	4	13	computational	computational	ADJ
r494vh56c68	4	14	complexity	complexity	NOUN
r494vh56c68	4	15	,	,	PUNCT
r494vh56c68	4	16	namely	namely	ADV
r494vh56c68	4	17	,	,	PUNCT
r494vh56c68	4	18	the	the	DET
r494vh56c68	4	19	computational	computational	ADJ
r494vh56c68	4	20	cost	cost	NOUN
r494vh56c68	4	21	is	be	AUX
r494vh56c68	4	22	o(n	o(n	NOUN
r494vh56c68	4	23	)	)	PUNCT
r494vh56c68	4	24	where	where	SCONJ
r494vh56c68	4	25	n	n	PROPN
r494vh56c68	4	26	is	be	AUX
r494vh56c68	4	27	the	the	DET
r494vh56c68	4	28	number	number	NOUN
r494vh56c68	4	29	of	of	ADP
r494vh56c68	4	30	grid	grid	NOUN
r494vh56c68	4	31	points	point	NOUN
r494vh56c68	4	32	of	of	ADP
r494vh56c68	4	33	the	the	DET
r494vh56c68	4	34	computational	computational	ADJ
r494vh56c68	4	35	mesh	mesh	NOUN
r494vh56c68	4	36	.	.	PUNCT
r494vh56c68	5	1	recently	recently	ADV
r494vh56c68	5	2	,	,	PUNCT
r494vh56c68	5	3	a	a	DET
r494vh56c68	5	4	second	second	ADJ
r494vh56c68	5	5	order	order	NOUN
r494vh56c68	5	6	fast	fast	ADJ
r494vh56c68	5	7	sweeping	sweeping	ADJ
r494vh56c68	5	8	method	method	NOUN
r494vh56c68	5	9	with	with	ADP
r494vh56c68	5	10	linear	linear	ADJ
r494vh56c68	5	11	computational	computational	ADJ
r494vh56c68	5	12	complexity	complexity	NOUN
r494vh56c68	5	13	was	be	AUX
r494vh56c68	5	14	developed	develop	VERB
r494vh56c68	5	15	.	.	PUNCT
r494vh56c68	6	1	the	the	DET
r494vh56c68	6	2	method	method	NOUN
r494vh56c68	6	3	is	be	AUX
r494vh56c68	6	4	based	base	VERB
r494vh56c68	6	5	on	on	ADP
r494vh56c68	6	6	a	a	DET
r494vh56c68	6	7	discontinuous	discontinuous	ADJ
r494vh56c68	6	8	galerkin	galerkin	PROPN
r494vh56c68	6	9	(	(	PUNCT
r494vh56c68	6	10	dg	dg	PROPN
r494vh56c68	6	11	)	)	PUNCT
r494vh56c68	6	12	finite	finite	NOUN
r494vh56c68	6	13	element	element	NOUN
r494vh56c68	6	14	solver	solver	VERB
r494vh56c68	6	15	and	and	CCONJ
r494vh56c68	6	16	causality	causality	NOUN
r494vh56c68	6	17	indicators	indicator	NOUN
r494vh56c68	6	18	which	which	PRON
r494vh56c68	6	19	guide	guide	VERB
r494vh56c68	6	20	the	the	DET
r494vh56c68	6	21	information	information	NOUN
r494vh56c68	6	22	flow	flow	NOUN
r494vh56c68	6	23	directions	direction	NOUN
r494vh56c68	6	24	of	of	ADP
r494vh56c68	6	25	the	the	DET
r494vh56c68	6	26	nonlinear	nonlinear	ADJ
r494vh56c68	6	27	eikonal	eikonal	ADJ
r494vh56c68	6	28	equations	equation	NOUN
r494vh56c68	6	29	.	.	PUNCT
r494vh56c68	7	1	in	in	ADP
r494vh56c68	7	2	the	the	DET
r494vh56c68	7	3	first	first	ADJ
r494vh56c68	7	4	part	part	NOUN
r494vh56c68	7	5	of	of	ADP
r494vh56c68	7	6	this	this	DET
r494vh56c68	7	7	dissertation	dissertation	NOUN
r494vh56c68	7	8	,	,	PUNCT
r494vh56c68	7	9	we	we	PRON
r494vh56c68	7	10	extend	extend	VERB
r494vh56c68	7	11	previous	previous	ADJ
r494vh56c68	7	12	work	work	NOUN
r494vh56c68	7	13	and	and	CCONJ
r494vh56c68	7	14	develop	develop	VERB
r494vh56c68	7	15	a	a	DET
r494vh56c68	7	16	third	third	ADJ
r494vh56c68	7	17	order	order	NOUN
r494vh56c68	7	18	fast	fast	ADJ
r494vh56c68	7	19	sweeping	sweeping	ADJ
r494vh56c68	7	20	method	method	NOUN
r494vh56c68	7	21	with	with	ADP
r494vh56c68	7	22	linear	linear	ADJ
r494vh56c68	7	23	computational	computational	ADJ
r494vh56c68	7	24	complexity	complexity	NOUN
r494vh56c68	7	25	for	for	ADP
r494vh56c68	7	26	solving	solve	VERB
r494vh56c68	7	27	eikonal	eikonal	ADJ
r494vh56c68	7	28	equations	equation	NOUN
r494vh56c68	7	29	.	.	PUNCT
r494vh56c68	8	1	a	a	DET
r494vh56c68	8	2	novel	novel	ADJ
r494vh56c68	8	3	approach	approach	NOUN
r494vh56c68	8	4	is	be	AUX
r494vh56c68	8	5	designed	design	VERB
r494vh56c68	8	6	for	for	ADP
r494vh56c68	8	7	capturing	capture	VERB
r494vh56c68	8	8	the	the	DET
r494vh56c68	8	9	causality	causality	NOUN
r494vh56c68	8	10	information	information	NOUN
r494vh56c68	8	11	in	in	ADP
r494vh56c68	8	12	the	the	DET
r494vh56c68	8	13	third	third	ADJ
r494vh56c68	8	14	order	order	NOUN
r494vh56c68	8	15	dg	dg	PRON
r494vh56c68	8	16	local	local	ADJ
r494vh56c68	8	17	solver.fixed	solver.fixe	VERB
r494vh56c68	8	18	-	-	PUNCT
r494vh56c68	8	19	point	point	NOUN
r494vh56c68	8	20	iterative	iterative	ADJ
r494vh56c68	8	21	sweeping	sweeping	ADJ
r494vh56c68	8	22	methods	method	NOUN
r494vh56c68	8	23	were	be	AUX
r494vh56c68	8	24	also	also	ADV
r494vh56c68	8	25	developed	develop	VERB
r494vh56c68	8	26	in	in	ADP
r494vh56c68	8	27	the	the	DET
r494vh56c68	8	28	literature	literature	NOUN
r494vh56c68	8	29	to	to	PART
r494vh56c68	8	30	efficiently	efficiently	ADV
r494vh56c68	8	31	solve	solve	VERB
r494vh56c68	8	32	static	static	ADJ
r494vh56c68	8	33	hamilton	hamilton	PROPN
r494vh56c68	8	34	-	-	PUNCT
r494vh56c68	8	35	jacobi	jacobi	PROPN
r494vh56c68	8	36	equations	equation	NOUN
r494vh56c68	8	37	.	.	PUNCT
r494vh56c68	9	1	different	different	ADJ
r494vh56c68	9	2	from	from	ADP
r494vh56c68	9	3	other	other	ADJ
r494vh56c68	9	4	fast	fast	ADJ
r494vh56c68	9	5	sweeping	sweeping	ADJ
r494vh56c68	9	6	methods	method	NOUN
r494vh56c68	9	7	,	,	PUNCT
r494vh56c68	9	8	fixed	fix	VERB
r494vh56c68	9	9	-	-	PUNCT
r494vh56c68	9	10	point	point	NOUN
r494vh56c68	9	11	iterative	iterative	ADJ
r494vh56c68	9	12	sweeping	sweeping	ADJ
r494vh56c68	9	13	methods	method	NOUN
r494vh56c68	9	14	have	have	VERB
r494vh56c68	9	15	the	the	DET
r494vh56c68	9	16	advantages	advantage	NOUN
r494vh56c68	9	17	such	such	ADJ
r494vh56c68	9	18	as	as	ADP
r494vh56c68	9	19	having	have	VERB
r494vh56c68	9	20	explicit	explicit	ADJ
r494vh56c68	9	21	forms	form	NOUN
r494vh56c68	9	22	and	and	CCONJ
r494vh56c68	9	23	not	not	PART
r494vh56c68	9	24	involving	involve	VERB
r494vh56c68	9	25	inverse	inverse	ADJ
r494vh56c68	9	26	operation	operation	NOUN
r494vh56c68	9	27	of	of	ADP
r494vh56c68	9	28	nonlinear	nonlinear	ADJ
r494vh56c68	9	29	local	local	ADJ
r494vh56c68	9	30	systems	system	NOUN
r494vh56c68	9	31	.	.	PUNCT
r494vh56c68	10	1	in	in	ADP
r494vh56c68	10	2	principle	principle	NOUN
r494vh56c68	10	3	,	,	PUNCT
r494vh56c68	10	4	they	they	PRON
r494vh56c68	10	5	can	can	AUX
r494vh56c68	10	6	be	be	AUX
r494vh56c68	10	7	applied	apply	VERB
r494vh56c68	10	8	in	in	ADP
r494vh56c68	10	9	solving	solve	VERB
r494vh56c68	10	10	very	very	ADV
r494vh56c68	10	11	general	general	ADJ
r494vh56c68	10	12	equations	equation	NOUN
r494vh56c68	10	13	using	use	VERB
r494vh56c68	10	14	any	any	DET
r494vh56c68	10	15	monotone	monotone	NOUN
r494vh56c68	10	16	numerical	numerical	ADJ
r494vh56c68	10	17	fluxes	flux	NOUN
r494vh56c68	10	18	and	and	CCONJ
r494vh56c68	10	19	high	high	ADJ
r494vh56c68	10	20	order	order	NOUN
r494vh56c68	10	21	approximations	approximation	NOUN
r494vh56c68	10	22	easily	easily	ADV
r494vh56c68	10	23	.	.	PUNCT
r494vh56c68	11	1	in	in	ADP
r494vh56c68	11	2	the	the	DET
r494vh56c68	11	3	second	second	ADJ
r494vh56c68	11	4	part	part	NOUN
r494vh56c68	11	5	of	of	ADP
r494vh56c68	11	6	this	this	DET
r494vh56c68	11	7	dissertation	dissertation	NOUN
r494vh56c68	11	8	,	,	PUNCT
r494vh56c68	11	9	based	base	VERB
r494vh56c68	11	10	on	on	ADP
r494vh56c68	11	11	the	the	DET
r494vh56c68	11	12	recently	recently	ADV
r494vh56c68	11	13	developed	develop	VERB
r494vh56c68	11	14	fifth	fifth	ADJ
r494vh56c68	11	15	order	order	NOUN
r494vh56c68	11	16	weighted	weight	VERB
r494vh56c68	11	17	essentially	essentially	ADV
r494vh56c68	11	18	non	non	ADJ
r494vh56c68	11	19	-	-	ADJ
r494vh56c68	11	20	oscillatory	oscillatory	ADJ
r494vh56c68	11	21	(	(	PUNCT
r494vh56c68	11	22	weno	weno	PROPN
r494vh56c68	11	23	)	)	PUNCT
r494vh56c68	11	24	schemes	scheme	NOUN
r494vh56c68	11	25	which	which	PRON
r494vh56c68	11	26	improve	improve	VERB
r494vh56c68	11	27	the	the	DET
r494vh56c68	11	28	convergence	convergence	NOUN
r494vh56c68	11	29	of	of	ADP
r494vh56c68	11	30	the	the	DET
r494vh56c68	11	31	classical	classical	ADJ
r494vh56c68	11	32	weno	weno	NOUN
r494vh56c68	11	33	schemes	scheme	NOUN
r494vh56c68	11	34	by	by	ADP
r494vh56c68	11	35	removing	remove	VERB
r494vh56c68	11	36	slight	slight	ADJ
r494vh56c68	11	37	post	post	ADJ
r494vh56c68	11	38	-	-	ADJ
r494vh56c68	11	39	shock	shock	ADJ
r494vh56c68	11	40	oscillations	oscillation	NOUN
r494vh56c68	11	41	,	,	PUNCT
r494vh56c68	11	42	we	we	PRON
r494vh56c68	11	43	design	design	VERB
r494vh56c68	11	44	fifth	fifth	ADJ
r494vh56c68	11	45	order	order	NOUN
r494vh56c68	11	46	fixed	fix	VERB
r494vh56c68	11	47	-	-	PUNCT
r494vh56c68	11	48	point	point	NOUN
r494vh56c68	11	49	sweeping	sweeping	ADJ
r494vh56c68	11	50	weno	weno	ADJ
r494vh56c68	11	51	methods	method	NOUN
r494vh56c68	11	52	for	for	ADP
r494vh56c68	11	53	efficient	efficient	ADJ
r494vh56c68	11	54	computation	computation	NOUN
r494vh56c68	11	55	of	of	ADP
r494vh56c68	11	56	steady	steady	ADJ
r494vh56c68	11	57	state	state	NOUN
r494vh56c68	11	58	solution	solution	NOUN
r494vh56c68	11	59	of	of	ADP
r494vh56c68	11	60	hyperbolic	hyperbolic	ADJ
r494vh56c68	11	61	conservation	conservation	NOUN
r494vh56c68	11	62	laws	law	NOUN
r494vh56c68	11	63	.	.	PUNCT
r494vh56c68	12	1	especially	especially	ADV
r494vh56c68	12	2	,	,	PUNCT
r494vh56c68	12	3	we	we	PRON
r494vh56c68	12	4	show	show	VERB
r494vh56c68	12	5	that	that	SCONJ
r494vh56c68	12	6	although	although	SCONJ
r494vh56c68	12	7	the	the	DET
r494vh56c68	12	8	methods	method	NOUN
r494vh56c68	12	9	do	do	AUX
r494vh56c68	12	10	not	not	PART
r494vh56c68	12	11	have	have	VERB
r494vh56c68	12	12	linear	linear	ADJ
r494vh56c68	12	13	computational	computational	ADJ
r494vh56c68	12	14	complexity	complexity	NOUN
r494vh56c68	12	15	,	,	PUNCT
r494vh56c68	12	16	they	they	PRON
r494vh56c68	12	17	converge	converge	VERB
r494vh56c68	12	18	to	to	ADP
r494vh56c68	12	19	steady	steady	ADJ
r494vh56c68	12	20	state	state	NOUN
r494vh56c68	12	21	solutions	solution	NOUN
r494vh56c68	12	22	much	much	ADV
r494vh56c68	12	23	faster	fast	ADV
r494vh56c68	12	24	than	than	ADP
r494vh56c68	12	25	regular	regular	ADJ
r494vh56c68	12	26	time	time	NOUN
r494vh56c68	12	27	-	-	PUNCT
r494vh56c68	12	28	marching	marching	NOUN
r494vh56c68	12	29	approach	approach	NOUN
r494vh56c68	12	30	by	by	ADP
r494vh56c68	12	31	stability	stability	NOUN
r494vh56c68	12	32	improvement	improvement	NOUN
r494vh56c68	12	33	for	for	ADP
r494vh56c68	12	34	high	high	ADJ
r494vh56c68	12	35	order	order	NOUN
r494vh56c68	12	36	schemes	scheme	NOUN
r494vh56c68	12	37	with	with	ADP
r494vh56c68	12	38	a	a	DET
r494vh56c68	12	39	forward	forward	ADJ
r494vh56c68	12	40	euler	euler	NOUN
r494vh56c68	12	41	time	time	NOUN
r494vh56c68	12	42	-	-	PUNCT
r494vh56c68	12	43	marching	marching	NOUN
r494vh56c68	12	44	.	.	PUNCT