id	sid	tid	token	lemma	pos
mw22v408901	1	1	integration	integration	NOUN
mw22v408901	1	2	factor	factor	NOUN
mw22v408901	1	3	(	(	PUNCT
mw22v408901	1	4	if	if	SCONJ
mw22v408901	1	5	)	)	PUNCT
mw22v408901	1	6	methods	method	NOUN
mw22v408901	1	7	are	be	AUX
mw22v408901	1	8	a	a	DET
mw22v408901	1	9	class	class	NOUN
mw22v408901	1	10	of	of	ADP
mw22v408901	1	11	efficient	efficient	ADJ
mw22v408901	1	12	time	time	NOUN
mw22v408901	1	13	discretization	discretization	NOUN
mw22v408901	1	14	methods	method	NOUN
mw22v408901	1	15	for	for	ADP
mw22v408901	1	16	solving	solve	VERB
mw22v408901	1	17	stiff	stiff	ADJ
mw22v408901	1	18	problems	problem	NOUN
mw22v408901	1	19	via	via	ADP
mw22v408901	1	20	evaluation	evaluation	NOUN
mw22v408901	1	21	of	of	ADP
mw22v408901	1	22	an	an	DET
mw22v408901	1	23	exponential	exponential	ADJ
mw22v408901	1	24	function	function	NOUN
mw22v408901	1	25	of	of	ADP
mw22v408901	1	26	the	the	DET
mw22v408901	1	27	corresponding	corresponding	ADJ
mw22v408901	1	28	matrix	matrix	NOUN
mw22v408901	1	29	for	for	ADP
mw22v408901	1	30	the	the	DET
mw22v408901	1	31	stiff	stiff	ADJ
mw22v408901	1	32	operator	operator	NOUN
mw22v408901	1	33	.	.	PUNCT
mw22v408901	2	1	the	the	DET
mw22v408901	2	2	computational	computational	ADJ
mw22v408901	2	3	challenge	challenge	NOUN
mw22v408901	2	4	in	in	ADP
mw22v408901	2	5	applying	apply	VERB
mw22v408901	2	6	the	the	DET
mw22v408901	2	7	methods	method	NOUN
mw22v408901	2	8	for	for	ADP
mw22v408901	2	9	partial	partial	ADJ
mw22v408901	2	10	differential	differential	ADJ
mw22v408901	2	11	equations	equation	NOUN
mw22v408901	2	12	(	(	PUNCT
mw22v408901	2	13	pdes	pde	NOUN
mw22v408901	2	14	)	)	PUNCT
mw22v408901	2	15	on	on	ADP
mw22v408901	2	16	high	high	ADJ
mw22v408901	2	17	spatial	spatial	ADJ
mw22v408901	2	18	dimensions	dimension	NOUN
mw22v408901	2	19	(	(	PUNCT
mw22v408901	2	20	multidimensional	multidimensional	ADJ
mw22v408901	2	21	pdes	pde	NOUN
mw22v408901	2	22	)	)	PUNCT
mw22v408901	2	23	is	be	AUX
mw22v408901	2	24	how	how	SCONJ
mw22v408901	2	25	to	to	PART
mw22v408901	2	26	deal	deal	VERB
mw22v408901	2	27	with	with	ADP
mw22v408901	2	28	the	the	DET
mw22v408901	2	29	matrix	matrix	NOUN
mw22v408901	2	30	exponential	exponential	NOUN
mw22v408901	2	31	for	for	ADP
mw22v408901	2	32	very	very	ADV
mw22v408901	2	33	large	large	ADJ
mw22v408901	2	34	matrices	matrix	NOUN
mw22v408901	2	35	.	.	PUNCT
mw22v408901	3	1	compact	compact	ADJ
mw22v408901	3	2	integration	integration	NOUN
mw22v408901	3	3	factor	factor	NOUN
mw22v408901	3	4	methods	method	NOUN
mw22v408901	3	5	developed	develop	VERB
mw22v408901	3	6	in	in	ADP
mw22v408901	3	7	[	[	X
mw22v408901	3	8	nie	nie	X
mw22v408901	3	9	et	et	PROPN
mw22v408901	3	10	al	al	PROPN
mw22v408901	3	11	.	.	PROPN
mw22v408901	3	12	,	,	PUNCT
mw22v408901	3	13	journal	journal	NOUN
mw22v408901	3	14	of	of	ADP
mw22v408901	3	15	computational	computational	ADJ
mw22v408901	3	16	physics	physic	NOUN
mw22v408901	3	17	,	,	PUNCT
mw22v408901	3	18	227	227	NUM
mw22v408901	3	19	(	(	PUNCT
mw22v408901	3	20	2008	2008	NUM
mw22v408901	3	21	)	)	PUNCT
mw22v408901	3	22	5238	5238	NUM
mw22v408901	3	23	-	-	SYM
mw22v408901	3	24	5255	5255	NUM
mw22v408901	3	25	]	]	PUNCT
mw22v408901	3	26	provide	provide	VERB
mw22v408901	3	27	an	an	DET
mw22v408901	3	28	approach	approach	NOUN
mw22v408901	3	29	to	to	PART
mw22v408901	3	30	reduce	reduce	VERB
mw22v408901	3	31	the	the	DET
mw22v408901	3	32	cost	cost	NOUN
mw22v408901	3	33	prohibitive	prohibitive	ADJ
mw22v408901	3	34	large	large	ADJ
mw22v408901	3	35	matrix	matrix	NOUN
mw22v408901	3	36	exponentials	exponential	NOUN
mw22v408901	3	37	for	for	ADP
mw22v408901	3	38	linear	linear	ADJ
mw22v408901	3	39	diffusion	diffusion	NOUN
mw22v408901	3	40	operators	operator	NOUN
mw22v408901	3	41	with	with	ADP
mw22v408901	3	42	constant	constant	ADJ
mw22v408901	3	43	diffusion	diffusion	NOUN
mw22v408901	3	44	coefficients	coefficient	NOUN
mw22v408901	3	45	in	in	ADP
mw22v408901	3	46	high	high	ADJ
mw22v408901	3	47	spatial	spatial	ADJ
mw22v408901	3	48	dimensions	dimension	NOUN
mw22v408901	3	49	to	to	ADP
mw22v408901	3	50	a	a	DET
mw22v408901	3	51	series	series	NOUN
mw22v408901	3	52	of	of	ADP
mw22v408901	3	53	much	much	ADV
mw22v408901	3	54	smaller	small	ADJ
mw22v408901	3	55	one	one	NUM
mw22v408901	3	56	dimensional	dimensional	ADJ
mw22v408901	3	57	computations	computation	NOUN
mw22v408901	3	58	.	.	PUNCT
mw22v408901	4	1	this	this	DET
mw22v408901	4	2	approach	approach	NOUN
mw22v408901	4	3	is	be	AUX
mw22v408901	4	4	further	far	ADV
mw22v408901	4	5	developed	develop	VERB
mw22v408901	4	6	in	in	ADP
mw22v408901	4	7	[	[	X
mw22v408901	4	8	wang	wang	PROPN
mw22v408901	4	9	et	et	PROPN
mw22v408901	4	10	al	al	PROPN
mw22v408901	4	11	.	.	PROPN
mw22v408901	4	12	,	,	PUNCT
mw22v408901	4	13	journal	journal	NOUN
mw22v408901	4	14	of	of	ADP
mw22v408901	4	15	computational	computational	ADJ
mw22v408901	4	16	physics	physic	NOUN
mw22v408901	4	17	,	,	PUNCT
mw22v408901	4	18	258	258	NUM
mw22v408901	4	19	(	(	PUNCT
mw22v408901	4	20	2014	2014	NUM
mw22v408901	4	21	)	)	PUNCT
mw22v408901	4	22	585	585	NUM
mw22v408901	4	23	-	-	SYM
mw22v408901	4	24	600	600	NUM
mw22v408901	4	25	]	]	PUNCT
mw22v408901	4	26	to	to	PART
mw22v408901	4	27	deal	deal	VERB
mw22v408901	4	28	with	with	ADP
mw22v408901	4	29	more	more	ADV
mw22v408901	4	30	complicated	complicated	ADJ
mw22v408901	4	31	high	high	ADJ
mw22v408901	4	32	dimensional	dimensional	ADJ
mw22v408901	4	33	reaction	reaction	NOUN
mw22v408901	4	34	-	-	PUNCT
mw22v408901	4	35	diffusion	diffusion	NOUN
mw22v408901	4	36	equations	equation	NOUN
mw22v408901	4	37	with	with	ADP
mw22v408901	4	38	cross	cross	NOUN
mw22v408901	4	39	-	-	NOUN
mw22v408901	4	40	derivatives	derivative	NOUN
mw22v408901	4	41	in	in	ADP
mw22v408901	4	42	diffusion	diffusion	NOUN
mw22v408901	4	43	operators	operator	NOUN
mw22v408901	4	44	.	.	PUNCT
mw22v408901	5	1	another	another	DET
mw22v408901	5	2	approach	approach	NOUN
mw22v408901	5	3	is	be	AUX
mw22v408901	5	4	to	to	PART
mw22v408901	5	5	use	use	VERB
mw22v408901	5	6	krylov	krylov	NOUN
mw22v408901	5	7	subspace	subspace	NOUN
mw22v408901	5	8	approximations	approximation	NOUN
mw22v408901	5	9	to	to	PART
mw22v408901	5	10	efficiently	efficiently	ADV
mw22v408901	5	11	calculate	calculate	VERB
mw22v408901	5	12	large	large	ADJ
mw22v408901	5	13	matrix	matrix	NOUN
mw22v408901	5	14	exponentials	exponential	NOUN
mw22v408901	5	15	.	.	PUNCT
mw22v408901	6	1	in	in	ADP
mw22v408901	6	2	[	[	X
mw22v408901	6	3	chen	chen	PROPN
mw22v408901	6	4	and	and	CCONJ
mw22v408901	6	5	zhang	zhang	PROPN
mw22v408901	6	6	,	,	PUNCT
mw22v408901	6	7	journal	journal	NOUN
mw22v408901	6	8	of	of	ADP
mw22v408901	6	9	computational	computational	ADJ
mw22v408901	6	10	physics	physic	NOUN
mw22v408901	6	11	,	,	PUNCT
mw22v408901	6	12	230	230	NUM
mw22v408901	6	13	(	(	PUNCT
mw22v408901	6	14	2011	2011	NUM
mw22v408901	6	15	)	)	PUNCT
mw22v408901	6	16	4336	4336	NUM
mw22v408901	6	17	-	-	SYM
mw22v408901	6	18	4352	4352	NUM
mw22v408901	6	19	]	]	PUNCT
mw22v408901	6	20	,	,	PUNCT
mw22v408901	6	21	krylov	krylov	PROPN
mw22v408901	6	22	subspace	subspace	NOUN
mw22v408901	6	23	approximation	approximation	NOUN
mw22v408901	6	24	is	be	AUX
mw22v408901	6	25	directly	directly	ADV
mw22v408901	6	26	applied	apply	VERB
mw22v408901	6	27	to	to	ADP
mw22v408901	6	28	the	the	DET
mw22v408901	6	29	implicit	implicit	ADJ
mw22v408901	6	30	integration	integration	NOUN
mw22v408901	6	31	factor	factor	NOUN
mw22v408901	6	32	(	(	PUNCT
mw22v408901	6	33	iif	iif	PROPN
mw22v408901	6	34	)	)	PUNCT
mw22v408901	6	35	methods	method	NOUN
mw22v408901	6	36	for	for	ADP
mw22v408901	6	37	solving	solve	VERB
mw22v408901	6	38	high	high	ADJ
mw22v408901	6	39	dimensional	dimensional	ADJ
mw22v408901	6	40	reaction	reaction	NOUN
mw22v408901	6	41	-	-	PUNCT
mw22v408901	6	42	diffusion	diffusion	NOUN
mw22v408901	6	43	problems	problem	NOUN
mw22v408901	6	44	.	.	PUNCT
mw22v408901	7	1	recently	recently	ADV
mw22v408901	7	2	the	the	DET
mw22v408901	7	3	method	method	NOUN
mw22v408901	7	4	is	be	AUX
mw22v408901	7	5	combined	combine	VERB
mw22v408901	7	6	with	with	ADP
mw22v408901	7	7	weighted	weight	VERB
mw22v408901	7	8	essentially	essentially	ADV
mw22v408901	7	9	non	non	ADJ
mw22v408901	7	10	-	-	ADJ
mw22v408901	7	11	oscillatory	oscillatory	ADJ
mw22v408901	7	12	(	(	PUNCT
mw22v408901	7	13	weno	weno	PROPN
mw22v408901	7	14	)	)	PUNCT
mw22v408901	7	15	schemes	scheme	NOUN
mw22v408901	7	16	in	in	ADP
mw22v408901	7	17	[	[	X
mw22v408901	7	18	jiang	jiang	PROPN
mw22v408901	7	19	and	and	CCONJ
mw22v408901	7	20	zhang	zhang	PROPN
mw22v408901	7	21	,	,	PUNCT
mw22v408901	7	22	journal	journal	NOUN
mw22v408901	7	23	of	of	ADP
mw22v408901	7	24	computational	computational	ADJ
mw22v408901	7	25	physics	physic	NOUN
mw22v408901	7	26	,	,	PUNCT
mw22v408901	7	27	253	253	NUM
mw22v408901	7	28	(	(	PUNCT
mw22v408901	7	29	2013	2013	NUM
mw22v408901	7	30	)	)	PUNCT
mw22v408901	7	31	368	368	NUM
mw22v408901	7	32	-	-	NUM
mw22v408901	7	33	388	388	NUM
mw22v408901	7	34	]	]	PUNCT
mw22v408901	7	35	to	to	PART
mw22v408901	7	36	efficiently	efficiently	ADV
mw22v408901	7	37	solve	solve	VERB
mw22v408901	7	38	semilinear	semilinear	ADJ
mw22v408901	7	39	and	and	CCONJ
mw22v408901	7	40	fully	fully	ADV
mw22v408901	7	41	nonlinear	nonlinear	ADJ
mw22v408901	7	42	convection	convection	NOUN
mw22v408901	7	43	-	-	PUNCT
mw22v408901	7	44	reaction	reaction	NOUN
mw22v408901	7	45	-	-	PUNCT
mw22v408901	7	46	diffusion	diffusion	NOUN
mw22v408901	7	47	equations	equation	NOUN
mw22v408901	7	48	.	.	PUNCT
mw22v408901	8	1	a	a	DET
mw22v408901	8	2	natural	natural	ADJ
mw22v408901	8	3	question	question	NOUN
mw22v408901	8	4	that	that	PRON
mw22v408901	8	5	arises	arise	VERB
mw22v408901	8	6	is	be	AUX
mw22v408901	8	7	how	how	SCONJ
mw22v408901	8	8	these	these	DET
mw22v408901	8	9	two	two	NUM
mw22v408901	8	10	approaches	approach	NOUN
mw22v408901	8	11	may	may	AUX
mw22v408901	8	12	perform	perform	VERB
mw22v408901	8	13	differently	differently	ADV
mw22v408901	8	14	for	for	ADP
mw22v408901	8	15	various	various	ADJ
mw22v408901	8	16	types	type	NOUN
mw22v408901	8	17	of	of	ADP
mw22v408901	8	18	problems	problem	NOUN
mw22v408901	8	19	.	.	PUNCT
mw22v408901	9	1	in	in	ADP
mw22v408901	9	2	the	the	DET
mw22v408901	9	3	first	first	ADJ
mw22v408901	9	4	part	part	NOUN
mw22v408901	9	5	of	of	ADP
mw22v408901	9	6	this	this	DET
mw22v408901	9	7	dissertation	dissertation	NOUN
mw22v408901	9	8	,	,	PUNCT
mw22v408901	9	9	we	we	PRON
mw22v408901	9	10	study	study	VERB
mw22v408901	9	11	the	the	DET
mw22v408901	9	12	computational	computational	ADJ
mw22v408901	9	13	power	power	NOUN
mw22v408901	9	14	of	of	ADP
mw22v408901	9	15	krylov	krylov	PROPN
mw22v408901	9	16	if	if	SCONJ
mw22v408901	9	17	-	-	PUNCT
mw22v408901	9	18	weno	weno	VERB
mw22v408901	9	19	methods	method	NOUN
mw22v408901	9	20	for	for	ADP
mw22v408901	9	21	solving	solve	VERB
mw22v408901	9	22	high	high	ADJ
mw22v408901	9	23	spatial	spatial	ADJ
mw22v408901	9	24	dimension	dimension	NOUN
mw22v408901	9	25	convection	convection	NOUN
mw22v408901	9	26	-	-	PUNCT
mw22v408901	9	27	diffusion	diffusion	NOUN
mw22v408901	9	28	pde	pde	NOUN
mw22v408901	9	29	problems	problem	NOUN
mw22v408901	9	30	(	(	PUNCT
mw22v408901	9	31	up	up	ADP
mw22v408901	9	32	to	to	PART
mw22v408901	9	33	four	four	NUM
mw22v408901	9	34	spatial	spatial	ADJ
mw22v408901	9	35	dimensions	dimension	NOUN
mw22v408901	9	36	)	)	PUNCT
mw22v408901	9	37	.	.	PUNCT
mw22v408901	10	1	systematical	systematical	ADJ
mw22v408901	10	2	numerical	numerical	ADJ
mw22v408901	10	3	comparison	comparison	NOUN
mw22v408901	10	4	and	and	CCONJ
mw22v408901	10	5	complexity	complexity	NOUN
mw22v408901	10	6	analysis	analysis	NOUN
mw22v408901	10	7	are	be	AUX
mw22v408901	10	8	carried	carry	VERB
mw22v408901	10	9	out	out	ADP
mw22v408901	10	10	for	for	ADP
mw22v408901	10	11	the	the	DET
mw22v408901	10	12	computational	computational	ADJ
mw22v408901	10	13	efficiency	efficiency	NOUN
mw22v408901	10	14	of	of	ADP
mw22v408901	10	15	the	the	DET
mw22v408901	10	16	two	two	NUM
mw22v408901	10	17	different	different	ADJ
mw22v408901	10	18	approaches	approach	NOUN
mw22v408901	10	19	.	.	PUNCT
mw22v408901	11	1	we	we	PRON
mw22v408901	11	2	show	show	VERB
mw22v408901	11	3	that	that	SCONJ
mw22v408901	11	4	although	although	SCONJ
mw22v408901	11	5	the	the	DET
mw22v408901	11	6	krylov	krylov	NOUN
mw22v408901	11	7	if	if	SCONJ
mw22v408901	11	8	-	-	PUNCT
mw22v408901	11	9	weno	weno	NOUN
mw22v408901	11	10	methods	method	NOUN
mw22v408901	11	11	have	have	VERB
mw22v408901	11	12	linear	linear	ADJ
mw22v408901	11	13	computational	computational	ADJ
mw22v408901	11	14	complexity	complexity	NOUN
mw22v408901	11	15	,	,	PUNCT
mw22v408901	11	16	both	both	CCONJ
mw22v408901	11	17	the	the	DET
mw22v408901	11	18	compact	compact	ADJ
mw22v408901	11	19	if	if	SCONJ
mw22v408901	11	20	method	method	NOUN
mw22v408901	11	21	and	and	CCONJ
mw22v408901	11	22	the	the	DET
mw22v408901	11	23	krylov	krylov	NOUN
mw22v408901	11	24	if	if	SCONJ
mw22v408901	11	25	method	method	NOUN
mw22v408901	11	26	have	have	VERB
mw22v408901	11	27	their	their	PRON
mw22v408901	11	28	own	own	ADJ
mw22v408901	11	29	advantages	advantage	NOUN
mw22v408901	11	30	for	for	ADP
mw22v408901	11	31	different	different	ADJ
mw22v408901	11	32	type	type	NOUN
mw22v408901	11	33	of	of	ADP
mw22v408901	11	34	problems	problem	NOUN
mw22v408901	11	35	.	.	PUNCT
mw22v408901	12	1	this	this	DET
mw22v408901	12	2	study	study	NOUN
mw22v408901	12	3	provides	provide	VERB
mw22v408901	12	4	certain	certain	ADJ
mw22v408901	12	5	guidance	guidance	NOUN
mw22v408901	12	6	for	for	ADP
mw22v408901	12	7	using	use	VERB
mw22v408901	12	8	if	if	SCONJ
mw22v408901	12	9	-	-	PUNCT
mw22v408901	12	10	weno	weno	VERB
mw22v408901	12	11	methods	method	NOUN
mw22v408901	12	12	to	to	PART
mw22v408901	12	13	solve	solve	VERB
mw22v408901	12	14	general	general	ADJ
mw22v408901	12	15	high	high	ADJ
mw22v408901	12	16	spatial	spatial	ADJ
mw22v408901	12	17	dimension	dimension	NOUN
mw22v408901	12	18	convection	convection	NOUN
mw22v408901	12	19	-	-	PUNCT
mw22v408901	12	20	diffusion	diffusion	NOUN
mw22v408901	12	21	problems.in	problems.in	X
mw22v408901	12	22	the	the	DET
mw22v408901	12	23	second	second	ADJ
mw22v408901	12	24	part	part	NOUN
mw22v408901	12	25	of	of	ADP
mw22v408901	12	26	this	this	DET
mw22v408901	12	27	dissertation	dissertation	NOUN
mw22v408901	12	28	,	,	PUNCT
mw22v408901	12	29	we	we	PRON
mw22v408901	12	30	combine	combine	VERB
mw22v408901	12	31	the	the	DET
mw22v408901	12	32	krylov	krylov	PROPN
mw22v408901	12	33	integration	integration	NOUN
mw22v408901	12	34	factor	factor	NOUN
mw22v408901	12	35	methods	method	NOUN
mw22v408901	12	36	with	with	ADP
mw22v408901	12	37	sparse	sparse	ADJ
mw22v408901	12	38	grid	grid	NOUN
mw22v408901	12	39	combination	combination	NOUN
mw22v408901	12	40	techniques	technique	NOUN
mw22v408901	12	41	and	and	CCONJ
mw22v408901	12	42	solve	solve	VERB
mw22v408901	12	43	high	high	ADJ
mw22v408901	12	44	spatial	spatial	ADJ
mw22v408901	12	45	dimension	dimension	NOUN
mw22v408901	12	46	convection	convection	NOUN
mw22v408901	12	47	-	-	PUNCT
mw22v408901	12	48	diffusion	diffusion	NOUN
mw22v408901	12	49	equations	equation	NOUN
mw22v408901	12	50	such	such	ADJ
mw22v408901	12	51	as	as	ADP
mw22v408901	12	52	fokker	fokker	PROPN
mw22v408901	12	53	-	-	PUNCT
mw22v408901	12	54	planck	planck	NOUN
mw22v408901	12	55	equations	equation	NOUN
mw22v408901	12	56	on	on	ADP
mw22v408901	12	57	sparse	sparse	ADJ
mw22v408901	12	58	grids	grid	NOUN
mw22v408901	12	59	.	.	PUNCT
mw22v408901	13	1	numerical	numerical	ADJ
mw22v408901	13	2	examples	example	NOUN
mw22v408901	13	3	are	be	AUX
mw22v408901	13	4	presented	present	VERB
mw22v408901	13	5	to	to	PART
mw22v408901	13	6	show	show	VERB
mw22v408901	13	7	that	that	SCONJ
mw22v408901	13	8	significant	significant	ADJ
mw22v408901	13	9	computational	computational	ADJ
mw22v408901	13	10	times	time	NOUN
mw22v408901	13	11	are	be	AUX
mw22v408901	13	12	saved	save	VERB
mw22v408901	13	13	by	by	ADP
mw22v408901	13	14	applying	apply	VERB
mw22v408901	13	15	the	the	DET
mw22v408901	13	16	krylov	krylov	PROPN
mw22v408901	13	17	integration	integration	NOUN
mw22v408901	13	18	factor	factor	NOUN
mw22v408901	13	19	methods	method	NOUN
mw22v408901	13	20	on	on	ADP
mw22v408901	13	21	sparse	sparse	ADJ
mw22v408901	13	22	grids	grid	NOUN
mw22v408901	13	23	.	.	PUNCT