id	sid	tid	token	lemma	pos
st74cn7365n	1	1	fixed	fix	VERB
st74cn7365n	1	2	-	-	PUNCT
st74cn7365n	1	3	point	point	NOUN
st74cn7365n	1	4	fast	fast	ADJ
st74cn7365n	1	5	sweeping	sweeping	ADJ
st74cn7365n	1	6	methods	method	NOUN
st74cn7365n	1	7	are	be	AUX
st74cn7365n	1	8	a	a	DET
st74cn7365n	1	9	class	class	NOUN
st74cn7365n	1	10	of	of	ADP
st74cn7365n	1	11	explicit	explicit	ADJ
st74cn7365n	1	12	iterative	iterative	ADJ
st74cn7365n	1	13	methods	method	NOUN
st74cn7365n	1	14	developed	develop	VERB
st74cn7365n	1	15	in	in	ADP
st74cn7365n	1	16	the	the	DET
st74cn7365n	1	17	literature	literature	NOUN
st74cn7365n	1	18	to	to	PART
st74cn7365n	1	19	efficiently	efficiently	ADV
st74cn7365n	1	20	solve	solve	VERB
st74cn7365n	1	21	steady	steady	ADJ
st74cn7365n	1	22	state	state	NOUN
st74cn7365n	1	23	solutions	solution	NOUN
st74cn7365n	1	24	of	of	ADP
st74cn7365n	1	25	hyperbolic	hyperbolic	ADJ
st74cn7365n	1	26	partial	partial	ADJ
st74cn7365n	1	27	differential	differential	ADJ
st74cn7365n	1	28	equations	equation	NOUN
st74cn7365n	1	29	(	(	PUNCT
st74cn7365n	1	30	pdes	pde	NOUN
st74cn7365n	1	31	)	)	PUNCT
st74cn7365n	1	32	.	.	PUNCT
st74cn7365n	2	1	as	as	ADP
st74cn7365n	2	2	other	other	ADJ
st74cn7365n	2	3	types	type	NOUN
st74cn7365n	2	4	of	of	ADP
st74cn7365n	2	5	fast	fast	ADJ
st74cn7365n	2	6	sweeping	sweeping	ADJ
st74cn7365n	2	7	schemes	scheme	NOUN
st74cn7365n	2	8	,	,	PUNCT
st74cn7365n	2	9	fixed	fix	VERB
st74cn7365n	2	10	-	-	PUNCT
st74cn7365n	2	11	point	point	NOUN
st74cn7365n	2	12	fast	fast	ADJ
st74cn7365n	2	13	sweeping	sweeping	ADJ
st74cn7365n	2	14	methods	method	NOUN
st74cn7365n	2	15	use	use	VERB
st74cn7365n	2	16	the	the	DET
st74cn7365n	2	17	gauss	gauss	ADJ
st74cn7365n	2	18	-	-	PUNCT
st74cn7365n	2	19	seidel	seidel	NOUN
st74cn7365n	2	20	iterations	iteration	NOUN
st74cn7365n	2	21	and	and	CCONJ
st74cn7365n	2	22	alternating	alternate	VERB
st74cn7365n	2	23	sweeping	sweeping	ADJ
st74cn7365n	2	24	strategy	strategy	NOUN
st74cn7365n	2	25	to	to	PART
st74cn7365n	2	26	cover	cover	VERB
st74cn7365n	2	27	characteristics	characteristic	NOUN
st74cn7365n	2	28	of	of	ADP
st74cn7365n	2	29	hyperbolic	hyperbolic	ADJ
st74cn7365n	2	30	pdes	pde	NOUN
st74cn7365n	2	31	in	in	ADP
st74cn7365n	2	32	a	a	DET
st74cn7365n	2	33	certain	certain	ADJ
st74cn7365n	2	34	direction	direction	NOUN
st74cn7365n	2	35	simultaneously	simultaneously	ADV
st74cn7365n	2	36	in	in	ADP
st74cn7365n	2	37	each	each	DET
st74cn7365n	2	38	sweeping	sweeping	ADJ
st74cn7365n	2	39	order	order	NOUN
st74cn7365n	2	40	.	.	PUNCT
st74cn7365n	3	1	the	the	DET
st74cn7365n	3	2	resulting	result	VERB
st74cn7365n	3	3	iterative	iterative	ADJ
st74cn7365n	3	4	schemes	scheme	NOUN
st74cn7365n	3	5	have	have	VERB
st74cn7365n	3	6	fast	fast	ADJ
st74cn7365n	3	7	convergence	convergence	NOUN
st74cn7365n	3	8	rate	rate	NOUN
st74cn7365n	3	9	to	to	ADP
st74cn7365n	3	10	steady	steady	ADJ
st74cn7365n	3	11	state	state	NOUN
st74cn7365n	3	12	solutions	solution	NOUN
st74cn7365n	3	13	.	.	PUNCT
st74cn7365n	4	1	moreover	moreover	ADV
st74cn7365n	4	2	,	,	PUNCT
st74cn7365n	4	3	an	an	DET
st74cn7365n	4	4	advantage	advantage	NOUN
st74cn7365n	4	5	of	of	ADP
st74cn7365n	4	6	fixed	fix	VERB
st74cn7365n	4	7	-	-	PUNCT
st74cn7365n	4	8	point	point	NOUN
st74cn7365n	4	9	fast	fast	ADJ
st74cn7365n	4	10	sweeping	sweeping	ADJ
st74cn7365n	4	11	methods	method	NOUN
st74cn7365n	4	12	over	over	ADP
st74cn7365n	4	13	other	other	ADJ
st74cn7365n	4	14	types	type	NOUN
st74cn7365n	4	15	of	of	ADP
st74cn7365n	4	16	fast	fast	ADJ
st74cn7365n	4	17	sweeping	sweeping	ADJ
st74cn7365n	4	18	methods	method	NOUN
st74cn7365n	4	19	is	be	AUX
st74cn7365n	4	20	that	that	SCONJ
st74cn7365n	4	21	they	they	PRON
st74cn7365n	4	22	are	be	AUX
st74cn7365n	4	23	explicit	explicit	ADJ
st74cn7365n	4	24	and	and	CCONJ
st74cn7365n	4	25	do	do	AUX
st74cn7365n	4	26	not	not	PART
st74cn7365n	4	27	involve	involve	VERB
st74cn7365n	4	28	inverse	inverse	ADJ
st74cn7365n	4	29	operation	operation	NOUN
st74cn7365n	4	30	of	of	ADP
st74cn7365n	4	31	any	any	DET
st74cn7365n	4	32	nonlinear	nonlinear	ADJ
st74cn7365n	4	33	local	local	ADJ
st74cn7365n	4	34	system	system	NOUN
st74cn7365n	4	35	.	.	PUNCT
st74cn7365n	5	1	hence	hence	ADV
st74cn7365n	5	2	they	they	PRON
st74cn7365n	5	3	are	be	AUX
st74cn7365n	5	4	robust	robust	ADJ
st74cn7365n	5	5	and	and	CCONJ
st74cn7365n	5	6	flexible	flexible	ADJ
st74cn7365n	5	7	,	,	PUNCT
st74cn7365n	5	8	and	and	CCONJ
st74cn7365n	5	9	have	have	AUX
st74cn7365n	5	10	been	be	AUX
st74cn7365n	5	11	combined	combine	VERB
st74cn7365n	5	12	with	with	ADP
st74cn7365n	5	13	high	high	ADJ
st74cn7365n	5	14	order	order	NOUN
st74cn7365n	5	15	accurate	accurate	ADJ
st74cn7365n	5	16	weighted	weight	VERB
st74cn7365n	5	17	essentially	essentially	ADV
st74cn7365n	5	18	non	non	ADJ
st74cn7365n	5	19	-	-	ADJ
st74cn7365n	5	20	oscillatory	oscillatory	ADJ
st74cn7365n	5	21	(	(	PUNCT
st74cn7365n	5	22	weno	weno	PROPN
st74cn7365n	5	23	)	)	PUNCT
st74cn7365n	5	24	schemes	scheme	NOUN
st74cn7365n	5	25	to	to	PART
st74cn7365n	5	26	solve	solve	VERB
st74cn7365n	5	27	various	various	ADJ
st74cn7365n	5	28	hyperbolic	hyperbolic	ADJ
st74cn7365n	5	29	pdes	pde	NOUN
st74cn7365n	5	30	in	in	ADP
st74cn7365n	5	31	the	the	DET
st74cn7365n	5	32	literature	literature	NOUN
st74cn7365n	5	33	.	.	PUNCT
st74cn7365n	6	1	for	for	ADP
st74cn7365n	6	2	multidimensional	multidimensional	ADJ
st74cn7365n	6	3	nonlinear	nonlinear	ADJ
st74cn7365n	6	4	problems	problem	NOUN
st74cn7365n	6	5	,	,	PUNCT
st74cn7365n	6	6	high	high	ADJ
st74cn7365n	6	7	order	order	NOUN
st74cn7365n	6	8	fixed	fix	VERB
st74cn7365n	6	9	-	-	PUNCT
st74cn7365n	6	10	point	point	NOUN
st74cn7365n	6	11	fast	fast	ADV
st74cn7365n	6	12	sweeping	sweeping	ADJ
st74cn7365n	6	13	weno	weno	ADJ
st74cn7365n	6	14	methods	method	NOUN
st74cn7365n	6	15	still	still	ADV
st74cn7365n	6	16	require	require	VERB
st74cn7365n	6	17	quite	quite	ADV
st74cn7365n	6	18	large	large	ADJ
st74cn7365n	6	19	amount	amount	NOUN
st74cn7365n	6	20	of	of	ADP
st74cn7365n	6	21	computational	computational	ADJ
st74cn7365n	6	22	costs	cost	NOUN
st74cn7365n	6	23	.	.	PUNCT
st74cn7365n	7	1	in	in	ADP
st74cn7365n	7	2	this	this	DET
st74cn7365n	7	3	dissertation	dissertation	NOUN
st74cn7365n	7	4	,	,	PUNCT
st74cn7365n	7	5	we	we	PRON
st74cn7365n	7	6	apply	apply	VERB
st74cn7365n	7	7	sparse	sparse	ADJ
st74cn7365n	7	8	-	-	PUNCT
st74cn7365n	7	9	grid	grid	NOUN
st74cn7365n	7	10	techniques	technique	NOUN
st74cn7365n	7	11	,	,	PUNCT
st74cn7365n	7	12	an	an	DET
st74cn7365n	7	13	effective	effective	ADJ
st74cn7365n	7	14	approximation	approximation	NOUN
st74cn7365n	7	15	tool	tool	NOUN
st74cn7365n	7	16	for	for	ADP
st74cn7365n	7	17	multidimensional	multidimensional	ADJ
st74cn7365n	7	18	problems	problem	NOUN
st74cn7365n	7	19	,	,	PUNCT
st74cn7365n	7	20	to	to	ADP
st74cn7365n	7	21	fixed	fix	VERB
st74cn7365n	7	22	-	-	PUNCT
st74cn7365n	7	23	point	point	NOUN
st74cn7365n	7	24	fast	fast	ADV
st74cn7365n	7	25	sweeping	sweeping	ADJ
st74cn7365n	7	26	weno	weno	ADJ
st74cn7365n	7	27	method	method	NOUN
st74cn7365n	7	28	for	for	ADP
st74cn7365n	7	29	reducing	reduce	VERB
st74cn7365n	7	30	its	its	PRON
st74cn7365n	7	31	computational	computational	ADJ
st74cn7365n	7	32	costs	cost	NOUN
st74cn7365n	7	33	.	.	PUNCT
st74cn7365n	8	1	here	here	ADV
st74cn7365n	8	2	we	we	PRON
st74cn7365n	8	3	focus	focus	VERB
st74cn7365n	8	4	on	on	ADP
st74cn7365n	8	5	fixed	fix	VERB
st74cn7365n	8	6	-	-	PUNCT
st74cn7365n	8	7	point	point	NOUN
st74cn7365n	8	8	fast	fast	NOUN
st74cn7365n	8	9	sweeping	sweeping	ADJ
st74cn7365n	8	10	weno	weno	NOUN
st74cn7365n	8	11	schemes	scheme	NOUN
st74cn7365n	8	12	with	with	ADP
st74cn7365n	8	13	third	third	ADJ
st74cn7365n	8	14	order	order	NOUN
st74cn7365n	8	15	accuracy	accuracy	NOUN
st74cn7365n	8	16	(	(	PUNCT
st74cn7365n	8	17	zhang	zhang	X
st74cn7365n	8	18	et	et	PROPN
st74cn7365n	8	19	al	al	PROPN
st74cn7365n	8	20	.	.	PUNCT
st74cn7365n	8	21	2006	2006	NUM
st74cn7365n	9	1	[	[	X
st74cn7365n	9	2	44	44	NUM
st74cn7365n	9	3	]	]	PUNCT
st74cn7365n	9	4	)	)	PUNCT
st74cn7365n	9	5	,	,	PUNCT
st74cn7365n	9	6	for	for	ADP
st74cn7365n	9	7	solving	solve	VERB
st74cn7365n	9	8	eikonal	eikonal	ADJ
st74cn7365n	9	9	equations	equation	NOUN
st74cn7365n	9	10	,	,	PUNCT
st74cn7365n	9	11	an	an	DET
st74cn7365n	9	12	important	important	ADJ
st74cn7365n	9	13	class	class	NOUN
st74cn7365n	9	14	of	of	ADP
st74cn7365n	9	15	static	static	PROPN
st74cn7365n	9	16	hamilton	hamilton	PROPN
st74cn7365n	9	17	-	-	PUNCT
st74cn7365n	9	18	jacobi	jacobi	PROPN
st74cn7365n	9	19	(	(	PUNCT
st74cn7365n	9	20	h	h	PROPN
st74cn7365n	9	21	-	-	PUNCT
st74cn7365n	9	22	j	j	NOUN
st74cn7365n	9	23	)	)	PUNCT
st74cn7365n	9	24	equations	equation	NOUN
st74cn7365n	9	25	.	.	PUNCT
st74cn7365n	10	1	numerical	numerical	ADJ
st74cn7365n	10	2	experiments	experiment	NOUN
st74cn7365n	10	3	on	on	ADP
st74cn7365n	10	4	solving	solve	VERB
st74cn7365n	10	5	multidimensional	multidimensional	ADJ
st74cn7365n	10	6	eikonal	eikonal	ADJ
st74cn7365n	10	7	equations	equation	NOUN
st74cn7365n	10	8	and	and	CCONJ
st74cn7365n	10	9	a	a	DET
st74cn7365n	10	10	more	more	ADV
st74cn7365n	10	11	general	general	ADJ
st74cn7365n	10	12	static	static	ADJ
st74cn7365n	10	13	h	h	PROPN
st74cn7365n	10	14	-	-	PUNCT
st74cn7365n	10	15	j	j	NOUN
st74cn7365n	10	16	equation	equation	NOUN
st74cn7365n	10	17	are	be	AUX
st74cn7365n	10	18	performed	perform	VERB
st74cn7365n	10	19	to	to	PART
st74cn7365n	10	20	show	show	VERB
st74cn7365n	10	21	that	that	SCONJ
st74cn7365n	10	22	the	the	DET
st74cn7365n	10	23	sparse	sparse	ADJ
st74cn7365n	10	24	grid	grid	NOUN
st74cn7365n	10	25	computations	computation	NOUN
st74cn7365n	10	26	of	of	ADP
st74cn7365n	10	27	the	the	DET
st74cn7365n	10	28	fixed	fix	VERB
st74cn7365n	10	29	-	-	PUNCT
st74cn7365n	10	30	point	point	NOUN
st74cn7365n	10	31	fast	fast	NOUN
st74cn7365n	10	32	sweeping	sweeping	ADJ
st74cn7365n	10	33	weno	weno	NOUN
st74cn7365n	10	34	scheme	scheme	NOUN
st74cn7365n	10	35	achieve	achieve	VERB
st74cn7365n	10	36	large	large	ADJ
st74cn7365n	10	37	savings	saving	NOUN
st74cn7365n	10	38	of	of	ADP
st74cn7365n	10	39	cpu	cpu	NOUN
st74cn7365n	10	40	times	times	PROPN
st74cn7365n	10	41	on	on	ADP
st74cn7365n	10	42	refined	refined	ADJ
st74cn7365n	10	43	meshes	mesh	NOUN
st74cn7365n	10	44	,	,	PUNCT
st74cn7365n	10	45	and	and	CCONJ
st74cn7365n	10	46	at	at	ADP
st74cn7365n	10	47	the	the	DET
st74cn7365n	10	48	same	same	ADJ
st74cn7365n	10	49	time	time	NOUN
st74cn7365n	10	50	maintain	maintain	VERB
st74cn7365n	10	51	comparable	comparable	ADJ
st74cn7365n	10	52	accuracy	accuracy	NOUN
st74cn7365n	10	53	and	and	CCONJ
st74cn7365n	10	54	resolution	resolution	NOUN
st74cn7365n	10	55	with	with	ADP
st74cn7365n	10	56	those	those	PRON
st74cn7365n	10	57	on	on	ADP
st74cn7365n	10	58	corresponding	correspond	VERB
st74cn7365n	10	59	regular	regular	ADJ
st74cn7365n	10	60	single	single	ADJ
st74cn7365n	10	61	grids	grid	NOUN
st74cn7365n	10	62	.	.	PUNCT