id	sid	tid	token	lemma	pos
nv93514128d	1	1	when	when	SCONJ
nv93514128d	1	2	developing	develop	VERB
nv93514128d	1	3	efficient	efficient	ADJ
nv93514128d	1	4	numerical	numerical	ADJ
nv93514128d	1	5	methods	method	NOUN
nv93514128d	1	6	for	for	ADP
nv93514128d	1	7	solving	solve	VERB
nv93514128d	1	8	parabolic	parabolic	ADJ
nv93514128d	1	9	types	type	NOUN
nv93514128d	1	10	of	of	ADP
nv93514128d	1	11	equations	equation	NOUN
nv93514128d	1	12	,	,	PUNCT
nv93514128d	1	13	severe	severe	ADJ
nv93514128d	1	14	temporal	temporal	ADJ
nv93514128d	1	15	stability	stability	NOUN
nv93514128d	1	16	constraints	constraint	NOUN
nv93514128d	1	17	on	on	ADP
nv93514128d	1	18	the	the	DET
nv93514128d	1	19	time	time	NOUN
nv93514128d	1	20	step	step	NOUN
nv93514128d	1	21	are	be	AUX
nv93514128d	1	22	often	often	ADV
nv93514128d	1	23	required	require	VERB
nv93514128d	1	24	due	due	ADP
nv93514128d	1	25	to	to	ADP
nv93514128d	1	26	the	the	DET
nv93514128d	1	27	high	high	ADJ
nv93514128d	1	28	-	-	PUNCT
nv93514128d	1	29	order	order	NOUN
nv93514128d	1	30	spatial	spatial	ADJ
nv93514128d	1	31	derivatives	derivative	NOUN
nv93514128d	1	32	and/or	and/or	CCONJ
nv93514128d	1	33	stiff	stiff	ADJ
nv93514128d	1	34	reactions	reaction	NOUN
nv93514128d	1	35	.	.	PUNCT
nv93514128d	2	1	the	the	DET
nv93514128d	2	2	implicit	implicit	ADJ
nv93514128d	2	3	integration	integration	NOUN
nv93514128d	2	4	factor	factor	NOUN
nv93514128d	2	5	(	(	PUNCT
nv93514128d	2	6	iif	iif	PROPN
nv93514128d	2	7	)	)	PUNCT
nv93514128d	2	8	method	method	NOUN
nv93514128d	2	9	,	,	PUNCT
nv93514128d	2	10	which	which	PRON
nv93514128d	2	11	treats	treat	VERB
nv93514128d	2	12	spatial	spatial	ADJ
nv93514128d	2	13	derivative	derivative	ADJ
nv93514128d	2	14	terms	term	NOUN
nv93514128d	2	15	explicitly	explicitly	ADV
nv93514128d	2	16	and	and	CCONJ
nv93514128d	2	17	reaction	reaction	NOUN
nv93514128d	2	18	terms	term	NOUN
nv93514128d	2	19	implicitly	implicitly	ADV
nv93514128d	2	20	,	,	PUNCT
nv93514128d	2	21	can	can	AUX
nv93514128d	2	22	provide	provide	VERB
nv93514128d	2	23	excellent	excellent	ADJ
nv93514128d	2	24	stability	stability	NOUN
nv93514128d	2	25	properties	property	NOUN
nv93514128d	2	26	in	in	ADP
nv93514128d	2	27	time	time	NOUN
nv93514128d	2	28	with	with	ADP
nv93514128d	2	29	nice	nice	ADJ
nv93514128d	2	30	accuracy	accuracy	NOUN
nv93514128d	2	31	.	.	PUNCT
nv93514128d	3	1	one	one	NUM
nv93514128d	3	2	major	major	ADJ
nv93514128d	3	3	challenge	challenge	NOUN
nv93514128d	3	4	for	for	ADP
nv93514128d	3	5	the	the	DET
nv93514128d	3	6	iif	iif	PROPN
nv93514128d	3	7	is	be	AUX
nv93514128d	3	8	the	the	DET
nv93514128d	3	9	storage	storage	NOUN
nv93514128d	3	10	and	and	CCONJ
nv93514128d	3	11	calculation	calculation	NOUN
nv93514128d	3	12	of	of	ADP
nv93514128d	3	13	the	the	DET
nv93514128d	3	14	dense	dense	ADJ
nv93514128d	3	15	exponentials	exponential	NOUN
nv93514128d	3	16	of	of	ADP
nv93514128d	3	17	the	the	DET
nv93514128d	3	18	sparse	sparse	ADJ
nv93514128d	3	19	discretization	discretization	NOUN
nv93514128d	3	20	matrices	matrix	NOUN
nv93514128d	3	21	restulted	restulte	VERB
nv93514128d	3	22	from	from	ADP
nv93514128d	3	23	the	the	DET
nv93514128d	3	24	linear	linear	ADJ
nv93514128d	3	25	differential	differential	ADJ
nv93514128d	3	26	operators	operator	NOUN
nv93514128d	3	27	.	.	PUNCT
nv93514128d	4	1	the	the	DET
nv93514128d	4	2	krylov	krylov	PROPN
nv93514128d	4	3	subspace	subspace	NOUN
nv93514128d	4	4	approximations	approximation	NOUN
nv93514128d	4	5	can	can	AUX
nv93514128d	4	6	overcome	overcome	VERB
nv93514128d	4	7	this	this	DET
nv93514128d	4	8	shortcoming	shortcoming	NOUN
nv93514128d	4	9	and	and	CCONJ
nv93514128d	4	10	greatly	greatly	ADV
nv93514128d	4	11	save	save	VERB
nv93514128d	4	12	computational	computational	ADJ
nv93514128d	4	13	cost	cost	NOUN
nv93514128d	4	14	and	and	CCONJ
nv93514128d	4	15	storage	storage	NOUN
nv93514128d	4	16	as	as	ADV
nv93514128d	4	17	long	long	ADV
nv93514128d	4	18	as	as	SCONJ
nv93514128d	4	19	the	the	DET
nv93514128d	4	20	arnoldi	arnoldi	PROPN
nv93514128d	4	21	errors	error	NOUN
nv93514128d	4	22	are	be	AUX
nv93514128d	4	23	smaller	small	ADJ
nv93514128d	4	24	than	than	ADP
nv93514128d	4	25	the	the	DET
nv93514128d	4	26	schemes	scheme	NOUN
nv93514128d	4	27	local	local	ADJ
nv93514128d	4	28	truncation	truncation	NOUN
nv93514128d	4	29	errors	error	NOUN
nv93514128d	4	30	.	.	PUNCT
nv93514128d	5	1	most	most	ADV
nv93514128d	5	2	explicit	explicit	ADJ
nv93514128d	5	3	numerical	numerical	ADJ
nv93514128d	5	4	methods	method	NOUN
nv93514128d	5	5	for	for	ADP
nv93514128d	5	6	solving	solve	VERB
nv93514128d	5	7	fourth	fourth	ADJ
nv93514128d	5	8	order	order	NOUN
nv93514128d	5	9	partial	partial	ADJ
nv93514128d	5	10	differential	differential	ADJ
nv93514128d	5	11	equations	equation	NOUN
nv93514128d	5	12	(	(	PUNCT
nv93514128d	5	13	pdes	pde	NOUN
nv93514128d	5	14	)	)	PUNCT
nv93514128d	5	15	have	have	VERB
nv93514128d	5	16	time	time	NOUN
nv93514128d	5	17	constraints	constraint	NOUN
nv93514128d	5	18	that	that	PRON
nv93514128d	5	19	require	require	VERB
nv93514128d	5	20	small	small	ADJ
nv93514128d	5	21	time	time	NOUN
nv93514128d	5	22	steps	step	NOUN
nv93514128d	5	23	,	,	PUNCT
nv93514128d	5	24	which	which	PRON
nv93514128d	5	25	is	be	AUX
nv93514128d	5	26	not	not	PART
nv93514128d	5	27	feasible	feasible	ADJ
nv93514128d	5	28	for	for	ADP
nv93514128d	5	29	high	high	ADJ
nv93514128d	5	30	dimensional	dimensional	ADJ
nv93514128d	5	31	problems	problem	NOUN
nv93514128d	5	32	.	.	PUNCT
nv93514128d	6	1	when	when	SCONJ
nv93514128d	6	2	dealing	deal	VERB
nv93514128d	6	3	with	with	ADP
nv93514128d	6	4	time	time	NOUN
nv93514128d	6	5	-	-	PUNCT
nv93514128d	6	6	dependent	dependent	ADJ
nv93514128d	6	7	fourth	fourth	ADJ
nv93514128d	6	8	order	order	NOUN
nv93514128d	6	9	pdes	pde	NOUN
nv93514128d	6	10	with	with	ADP
nv93514128d	6	11	linear	linear	ADJ
nv93514128d	6	12	high	high	ADJ
nv93514128d	6	13	order	order	NOUN
nv93514128d	6	14	terms	term	NOUN
nv93514128d	6	15	and	and	CCONJ
nv93514128d	6	16	stiff	stiff	ADJ
nv93514128d	6	17	lower	low	ADJ
nv93514128d	6	18	order	order	NOUN
nv93514128d	6	19	nonlinear	nonlinear	ADJ
nv93514128d	6	20	terms	term	NOUN
nv93514128d	6	21	,	,	PUNCT
nv93514128d	6	22	implicit	implicit	ADJ
nv93514128d	6	23	methods	method	NOUN
nv93514128d	6	24	are	be	AUX
nv93514128d	6	25	often	often	ADV
nv93514128d	6	26	used	use	VERB
nv93514128d	6	27	to	to	PART
nv93514128d	6	28	solve	solve	VERB
nv93514128d	6	29	these	these	DET
nv93514128d	6	30	types	type	NOUN
nv93514128d	6	31	of	of	ADP
nv93514128d	6	32	equations	equation	NOUN
nv93514128d	6	33	.	.	PUNCT
nv93514128d	7	1	previously	previously	ADV
nv93514128d	7	2	,	,	PUNCT
nv93514128d	7	3	implicit	implicit	ADJ
nv93514128d	7	4	integration	integration	NOUN
nv93514128d	7	5	factor	factor	NOUN
nv93514128d	7	6	(	(	PUNCT
nv93514128d	7	7	iif	iif	PROPN
nv93514128d	7	8	)	)	PUNCT
nv93514128d	7	9	methods	method	NOUN
nv93514128d	7	10	are	be	AUX
nv93514128d	7	11	often	often	ADV
nv93514128d	7	12	a	a	DET
nv93514128d	7	13	good	good	ADJ
nv93514128d	7	14	choice	choice	NOUN
nv93514128d	7	15	as	as	ADP
nv93514128d	7	16	a	a	DET
nv93514128d	7	17	class	class	NOUN
nv93514128d	7	18	of	of	ADP
nv93514128d	7	19	efficient	efficient	ADJ
nv93514128d	7	20	"	"	PUNCT
nv93514128d	7	21	exactly	exactly	ADV
nv93514128d	7	22	linear	linear	ADJ
nv93514128d	7	23	part	part	NOUN
nv93514128d	7	24	"	"	PUNCT
nv93514128d	7	25	time	time	NOUN
nv93514128d	7	26	discretization	discretization	NOUN
nv93514128d	7	27	method	method	NOUN
nv93514128d	7	28	for	for	ADP
nv93514128d	7	29	second	second	ADJ
nv93514128d	7	30	order	order	NOUN
nv93514128d	7	31	equations	equation	NOUN
nv93514128d	7	32	,	,	PUNCT
nv93514128d	7	33	namely	namely	ADV
nv93514128d	7	34	advection	advection	NOUN
nv93514128d	7	35	-	-	PUNCT
nv93514128d	7	36	diffusion	diffusion	NOUN
nv93514128d	7	37	-	-	PUNCT
nv93514128d	7	38	reaction	reaction	NOUN
nv93514128d	7	39	(	(	PUNCT
nv93514128d	7	40	adr	adr	PROPN
nv93514128d	7	41	)	)	PUNCT
nv93514128d	7	42	equations	equation	NOUN
nv93514128d	7	43	.	.	PUNCT
nv93514128d	8	1	i	i	PRON
nv93514128d	8	2	provide	provide	VERB
nv93514128d	8	3	linear	linear	ADJ
nv93514128d	8	4	analysis	analysis	NOUN
nv93514128d	8	5	on	on	ADP
nv93514128d	8	6	the	the	DET
nv93514128d	8	7	fully	fully	ADV
nv93514128d	8	8	discretized	discretize	VERB
nv93514128d	8	9	fourth	fourth	ADJ
nv93514128d	8	10	order	order	NOUN
nv93514128d	8	11	equation	equation	NOUN
nv93514128d	8	12	using	use	VERB
nv93514128d	8	13	the	the	DET
nv93514128d	8	14	implicit	implicit	ADJ
nv93514128d	8	15	integration	integration	NOUN
nv93514128d	8	16	factor	factor	NOUN
nv93514128d	8	17	method	method	NOUN
nv93514128d	8	18	and	and	CCONJ
nv93514128d	8	19	show	show	VERB
nv93514128d	8	20	the	the	DET
nv93514128d	8	21	error	error	NOUN
nv93514128d	8	22	analysis	analysis	NOUN
nv93514128d	8	23	.	.	PUNCT
nv93514128d	9	1	solving	solve	VERB
nv93514128d	9	2	time	time	NOUN
nv93514128d	9	3	dependent	dependent	ADJ
nv93514128d	9	4	fourth	fourth	ADJ
nv93514128d	9	5	order	order	NOUN
nv93514128d	9	6	partial	partial	ADJ
nv93514128d	9	7	differential	differential	ADJ
nv93514128d	9	8	equations	equation	NOUN
nv93514128d	9	9	usually	usually	ADV
nv93514128d	9	10	suffer	suffer	VERB
nv93514128d	9	11	from	from	ADP
nv93514128d	9	12	slow	slow	ADJ
nv93514128d	9	13	time	time	NOUN
nv93514128d	9	14	evolution	evolution	NOUN
nv93514128d	9	15	.	.	PUNCT
nv93514128d	10	1	previous	previous	ADJ
nv93514128d	10	2	methods	method	NOUN
nv93514128d	10	3	that	that	PRON
nv93514128d	10	4	solve	solve	VERB
nv93514128d	10	5	fourth	fourth	ADJ
nv93514128d	10	6	order	order	NOUN
nv93514128d	10	7	equations	equation	NOUN
nv93514128d	10	8	explicitly	explicitly	ADV
nv93514128d	10	9	need	need	VERB
nv93514128d	10	10	small	small	ADJ
nv93514128d	10	11	time	time	NOUN
nv93514128d	10	12	steps	step	NOUN
nv93514128d	10	13	.	.	PUNCT
nv93514128d	11	1	i	i	PRON
nv93514128d	11	2	provide	provide	VERB
nv93514128d	11	3	a	a	DET
nv93514128d	11	4	solution	solution	NOUN
nv93514128d	11	5	to	to	ADP
nv93514128d	11	6	solving	solve	VERB
nv93514128d	11	7	fourth	fourth	ADJ
nv93514128d	11	8	order	order	NOUN
nv93514128d	11	9	partial	partial	ADJ
nv93514128d	11	10	differential	differential	ADJ
nv93514128d	11	11	equations	equation	NOUN
nv93514128d	11	12	that	that	PRON
nv93514128d	11	13	have	have	VERB
nv93514128d	11	14	time	time	NOUN
nv93514128d	11	15	steps	step	NOUN
nv93514128d	11	16	of	of	ADP
nv93514128d	11	17	the	the	DET
nv93514128d	11	18	same	same	ADJ
nv93514128d	11	19	magnitude	magnitude	NOUN
nv93514128d	11	20	as	as	ADP
nv93514128d	11	21	the	the	DET
nv93514128d	11	22	spatial	spatial	ADJ
nv93514128d	11	23	grid	grid	NOUN
nv93514128d	11	24	size	size	NOUN
nv93514128d	11	25	.	.	PUNCT
nv93514128d	11	26	.	.	PUNCT
nv93514128d	12	1	i	i	PRON
nv93514128d	12	2	provide	provide	VERB
nv93514128d	12	3	an	an	DET
nv93514128d	12	4	introduction	introduction	NOUN
nv93514128d	12	5	to	to	ADP
nv93514128d	12	6	the	the	DET
nv93514128d	12	7	various	various	ADJ
nv93514128d	12	8	fields	field	NOUN
nv93514128d	12	9	in	in	ADP
nv93514128d	12	10	which	which	PRON
nv93514128d	12	11	fourth	fourth	ADJ
nv93514128d	12	12	order	order	NOUN
nv93514128d	12	13	partial	partial	ADJ
nv93514128d	12	14	differential	differential	ADJ
nv93514128d	12	15	equations	equation	NOUN
nv93514128d	12	16	are	be	AUX
nv93514128d	12	17	used	use	VERB
nv93514128d	12	18	.	.	PUNCT
nv93514128d	13	1	i	i	PRON
nv93514128d	13	2	will	will	AUX
nv93514128d	13	3	give	give	VERB
nv93514128d	13	4	details	detail	NOUN
nv93514128d	13	5	of	of	ADP
nv93514128d	13	6	the	the	DET
nv93514128d	13	7	implicit	implicit	ADJ
nv93514128d	13	8	integration	integration	NOUN
nv93514128d	13	9	factor	factor	NOUN
nv93514128d	13	10	method	method	NOUN
nv93514128d	13	11	that	that	PRON
nv93514128d	13	12	integrates	integrate	VERB
nv93514128d	13	13	fully	fully	ADV
nv93514128d	13	14	nonlinear	nonlinear	ADJ
nv93514128d	13	15	advection	advection	NOUN
nv93514128d	13	16	-	-	PUNCT
nv93514128d	13	17	diffusion	diffusion	NOUN
nv93514128d	13	18	-	-	PUNCT
nv93514128d	13	19	reaction	reaction	NOUN
nv93514128d	13	20	equations	equation	NOUN
nv93514128d	13	21	exactly	exactly	ADV
nv93514128d	13	22	in	in	ADP
nv93514128d	13	23	time	time	NOUN
nv93514128d	13	24	.	.	PUNCT
nv93514128d	14	1	i	i	PRON
nv93514128d	14	2	will	will	AUX
nv93514128d	14	3	present	present	VERB
nv93514128d	14	4	numerical	numerical	ADJ
nv93514128d	14	5	results	result	NOUN
nv93514128d	14	6	by	by	ADP
nv93514128d	14	7	solving	solve	VERB
nv93514128d	14	8	1	1	NUM
nv93514128d	14	9	-	-	PUNCT
nv93514128d	14	10	d	d	NOUN
nv93514128d	14	11	cahn	cahn	ADJ
nv93514128d	14	12	-	-	PUNCT
nv93514128d	14	13	hilliard	hilliard	NOUN
nv93514128d	14	14	equation	equation	NOUN
nv93514128d	14	15	and	and	CCONJ
nv93514128d	14	16	1	1	NUM
nv93514128d	14	17	-	-	PUNCT
nv93514128d	14	18	d	d	PROPN
nv93514128d	14	19	kuramoto	kuramoto	PROPN
nv93514128d	14	20	-	-	PUNCT
nv93514128d	14	21	sivashinsky	sivashinsky	PROPN
nv93514128d	14	22	equation	equation	NOUN
nv93514128d	14	23	using	use	VERB
nv93514128d	14	24	both	both	CCONJ
nv93514128d	14	25	the	the	DET
nv93514128d	14	26	second	second	ADJ
nv93514128d	14	27	and	and	CCONJ
nv93514128d	14	28	third	third	ADJ
nv93514128d	14	29	order	order	NOUN
nv93514128d	14	30	implicit	implicit	ADJ
nv93514128d	14	31	integration	integration	NOUN
nv93514128d	14	32	factor	factor	NOUN
nv93514128d	14	33	method	method	NOUN
nv93514128d	14	34	(	(	PUNCT
nv93514128d	14	35	iif	iif	PROPN
nv93514128d	14	36	)	)	PUNCT
nv93514128d	14	37	.	.	PUNCT
nv93514128d	15	1	i	i	PRON
nv93514128d	15	2	also	also	ADV
nv93514128d	15	3	present	present	VERB
nv93514128d	15	4	several	several	ADJ
nv93514128d	15	5	fourth	fourth	ADJ
nv93514128d	15	6	order	order	NOUN
nv93514128d	15	7	equations	equation	NOUN
nv93514128d	15	8	in	in	ADP
nv93514128d	15	9	2	2	NUM
nv93514128d	15	10	-	-	PUNCT
nv93514128d	15	11	d	d	NOUN
nv93514128d	15	12	and	and	CCONJ
nv93514128d	15	13	3	3	NUM
nv93514128d	15	14	-	-	SYM
nv93514128d	15	15	d	d	NOUN
nv93514128d	15	16	that	that	PRON
nv93514128d	15	17	have	have	VERB
nv93514128d	15	18	stiff	stiff	ADJ
nv93514128d	15	19	reactions	reaction	NOUN
nv93514128d	15	20	.	.	PUNCT
nv93514128d	16	1	i	i	PRON
nv93514128d	16	2	will	will	AUX
nv93514128d	16	3	discuss	discuss	VERB
nv93514128d	16	4	computational	computational	ADJ
nv93514128d	16	5	efficiency	efficiency	NOUN
nv93514128d	16	6	with	with	ADP
nv93514128d	16	7	krylov	krylov	PROPN
nv93514128d	16	8	subspace	subspace	NOUN
nv93514128d	16	9	approximation	approximation	NOUN
nv93514128d	16	10	and	and	CCONJ
nv93514128d	16	11	the	the	DET
nv93514128d	16	12	benefits	benefit	NOUN
nv93514128d	16	13	of	of	ADP
nv93514128d	16	14	having	have	VERB
nv93514128d	16	15	large	large	ADJ
nv93514128d	16	16	time	time	NOUN
nv93514128d	16	17	step	step	NOUN
nv93514128d	16	18	sizes	size	NOUN
nv93514128d	16	19	in	in	ADP
nv93514128d	16	20	all	all	DET
nv93514128d	16	21	problems	problem	NOUN
nv93514128d	16	22	.	.	PUNCT