id	sid	tid	token	lemma	pos
xs55m90370p	1	1	there	there	PRON
xs55m90370p	1	2	are	be	VERB
xs55m90370p	1	3	two	two	NUM
xs55m90370p	1	4	parts	part	NOUN
xs55m90370p	1	5	of	of	ADP
xs55m90370p	1	6	my	my	PRON
xs55m90370p	1	7	thesis	thesis	NOUN
xs55m90370p	1	8	.	.	PUNCT
xs55m90370p	2	1	the	the	DET
xs55m90370p	2	2	first	first	ADJ
xs55m90370p	2	3	part	part	NOUN
xs55m90370p	2	4	is	be	AUX
xs55m90370p	2	5	about	about	ADP
xs55m90370p	2	6	muilti	muilti	PROPN
xs55m90370p	2	7	-	-	PUNCT
xs55m90370p	2	8	step	step	NOUN
xs55m90370p	2	9	krylov	krylov	PROPN
xs55m90370p	2	10	iif	iif	PROPN
xs55m90370p	2	11	-	-	PUNCT
xs55m90370p	2	12	weno	weno	PROPN
xs55m90370p	2	13	methods	method	NOUN
xs55m90370p	2	14	.	.	PUNCT
xs55m90370p	3	1	when	when	SCONJ
xs55m90370p	3	2	we	we	PRON
xs55m90370p	3	3	are	be	AUX
xs55m90370p	3	4	dealing	deal	VERB
xs55m90370p	3	5	with	with	ADP
xs55m90370p	3	6	time	time	NOUN
xs55m90370p	3	7	-	-	PUNCT
xs55m90370p	3	8	dependent	dependent	ADJ
xs55m90370p	3	9	partial	partial	ADJ
xs55m90370p	3	10	differential	differential	ADJ
xs55m90370p	3	11	equations	equation	NOUN
xs55m90370p	3	12	(	(	PUNCT
xs55m90370p	3	13	pdes	pde	NOUN
xs55m90370p	3	14	)	)	PUNCT
xs55m90370p	3	15	with	with	ADP
xs55m90370p	3	16	linear	linear	ADJ
xs55m90370p	3	17	high	high	ADJ
xs55m90370p	3	18	order	order	NOUN
xs55m90370p	3	19	terms	term	NOUN
xs55m90370p	3	20	and	and	CCONJ
xs55m90370p	3	21	stiff	stiff	ADJ
xs55m90370p	3	22	lower	low	ADJ
xs55m90370p	3	23	order	order	NOUN
xs55m90370p	3	24	nonlinear	nonlinear	ADJ
xs55m90370p	3	25	terms	term	NOUN
xs55m90370p	3	26	,	,	PUNCT
xs55m90370p	3	27	implicit	implicit	ADJ
xs55m90370p	3	28	integration	integration	NOUN
xs55m90370p	3	29	factor	factor	NOUN
xs55m90370p	3	30	(	(	PUNCT
xs55m90370p	3	31	iif	iif	PROPN
xs55m90370p	3	32	)	)	PUNCT
xs55m90370p	3	33	methods	method	NOUN
xs55m90370p	3	34	are	be	AUX
xs55m90370p	3	35	often	often	ADV
xs55m90370p	3	36	a	a	DET
xs55m90370p	3	37	good	good	ADJ
xs55m90370p	3	38	choice	choice	NOUN
xs55m90370p	3	39	as	as	ADP
xs55m90370p	3	40	a	a	DET
xs55m90370p	3	41	class	class	NOUN
xs55m90370p	3	42	of	of	ADP
xs55m90370p	3	43	efficient	efficient	ADJ
xs55m90370p	3	44	'	'	PUNCT
xs55m90370p	3	45	exactly	exactly	ADV
xs55m90370p	3	46	linear	linear	ADJ
xs55m90370p	3	47	part	part	NOUN
xs55m90370p	3	48	'	'	PART
xs55m90370p	3	49	time	time	NOUN
xs55m90370p	3	50	discretization	discretization	NOUN
xs55m90370p	3	51	method	method	NOUN
xs55m90370p	3	52	.	.	PUNCT
xs55m90370p	4	1	in	in	ADP
xs55m90370p	4	2	complex	complex	ADJ
xs55m90370p	4	3	systems	system	NOUN
xs55m90370p	4	4	(	(	PUNCT
xs55m90370p	4	5	e.g.	e.g.	X
xs55m90370p	4	6	advection	advection	NOUN
xs55m90370p	4	7	-	-	PUNCT
xs55m90370p	4	8	diffusion	diffusion	NOUN
xs55m90370p	4	9	-	-	PUNCT
xs55m90370p	4	10	reaction	reaction	NOUN
xs55m90370p	4	11	(	(	PUNCT
xs55m90370p	4	12	adr	adr	PROPN
xs55m90370p	4	13	)	)	PUNCT
xs55m90370p	4	14	systems	system	NOUN
xs55m90370p	4	15	)	)	PUNCT
xs55m90370p	4	16	,	,	PUNCT
xs55m90370p	4	17	the	the	DET
xs55m90370p	4	18	highest	high	ADJ
xs55m90370p	4	19	order	order	NOUN
xs55m90370p	4	20	derivative	derivative	ADJ
xs55m90370p	4	21	term	term	NOUN
xs55m90370p	4	22	can	can	AUX
xs55m90370p	4	23	be	be	AUX
xs55m90370p	4	24	nonlinear	nonlinear	ADJ
xs55m90370p	4	25	,	,	PUNCT
xs55m90370p	4	26	and	and	CCONJ
xs55m90370p	4	27	nonlinear	nonlinear	ADJ
xs55m90370p	4	28	non	non	ADJ
xs55m90370p	4	29	-	-	ADJ
xs55m90370p	4	30	stiff	stiff	ADJ
xs55m90370p	4	31	terms	term	NOUN
xs55m90370p	4	32	and	and	CCONJ
xs55m90370p	4	33	nonlinear	nonlinear	ADJ
xs55m90370p	4	34	stiff	stiff	ADJ
xs55m90370p	4	35	terms	term	NOUN
xs55m90370p	4	36	are	be	AUX
xs55m90370p	4	37	often	often	ADV
xs55m90370p	4	38	mixed	mixed	ADJ
xs55m90370p	4	39	together	together	ADV
xs55m90370p	4	40	.	.	PUNCT
xs55m90370p	5	1	to	to	PART
xs55m90370p	5	2	discretize	discretize	VERB
xs55m90370p	5	3	the	the	DET
xs55m90370p	5	4	hyperbolic	hyperbolic	ADJ
xs55m90370p	5	5	part	part	NOUN
xs55m90370p	5	6	in	in	ADP
xs55m90370p	5	7	adr	adr	PROPN
xs55m90370p	5	8	systems	system	NOUN
xs55m90370p	5	9	,	,	PUNCT
xs55m90370p	5	10	high	high	ADJ
xs55m90370p	5	11	order	order	NOUN
xs55m90370p	5	12	weighted	weight	VERB
xs55m90370p	5	13	essentially	essentially	ADV
xs55m90370p	5	14	non	non	ADJ
xs55m90370p	5	15	-	-	ADJ
xs55m90370p	5	16	oscillatory	oscillatory	ADJ
xs55m90370p	5	17	(	(	PUNCT
xs55m90370p	5	18	weno	weno	PROPN
xs55m90370p	5	19	)	)	PUNCT
xs55m90370p	5	20	methods	method	NOUN
xs55m90370p	5	21	are	be	AUX
xs55m90370p	5	22	often	often	ADV
xs55m90370p	5	23	used	use	VERB
xs55m90370p	5	24	.	.	PUNCT
xs55m90370p	6	1	there	there	PRON
xs55m90370p	6	2	are	be	VERB
xs55m90370p	6	3	two	two	NUM
xs55m90370p	6	4	open	open	ADJ
xs55m90370p	6	5	problems	problem	NOUN
xs55m90370p	6	6	related	relate	VERB
xs55m90370p	6	7	to	to	ADP
xs55m90370p	6	8	iif	iif	PROPN
xs55m90370p	6	9	methods	method	NOUN
xs55m90370p	6	10	for	for	ADP
xs55m90370p	6	11	solving	solve	VERB
xs55m90370p	6	12	adr	adr	PROPN
xs55m90370p	6	13	systems	system	NOUN
xs55m90370p	6	14	:	:	PUNCT
xs55m90370p	6	15	(	(	PUNCT
xs55m90370p	6	16	1	1	X
xs55m90370p	6	17	)	)	PUNCT
xs55m90370p	6	18	how	how	SCONJ
xs55m90370p	6	19	to	to	PART
xs55m90370p	6	20	obtain	obtain	VERB
xs55m90370p	6	21	higher	high	ADJ
xs55m90370p	6	22	than	than	ADP
xs55m90370p	6	23	the	the	DET
xs55m90370p	6	24	second	second	ADJ
xs55m90370p	6	25	order	order	NOUN
xs55m90370p	6	26	global	global	ADJ
xs55m90370p	6	27	time	time	NOUN
xs55m90370p	6	28	discretization	discretization	NOUN
xs55m90370p	6	29	accuracy	accuracy	NOUN
xs55m90370p	6	30	;	;	PUNCT
xs55m90370p	6	31	(	(	PUNCT
xs55m90370p	6	32	2	2	X
xs55m90370p	6	33	)	)	PUNCT
xs55m90370p	6	34	how	how	SCONJ
xs55m90370p	6	35	to	to	PART
xs55m90370p	6	36	design	design	VERB
xs55m90370p	6	37	iif	iif	PROPN
xs55m90370p	6	38	methods	method	NOUN
xs55m90370p	6	39	for	for	ADP
xs55m90370p	6	40	solving	solve	VERB
xs55m90370p	6	41	fully	fully	ADV
xs55m90370p	6	42	nonlinear	nonlinear	ADJ
xs55m90370p	6	43	pdes	pde	NOUN
xs55m90370p	6	44	,	,	PUNCT
xs55m90370p	6	45	i.e.	i.e.	X
xs55m90370p	6	46	,	,	PUNCT
xs55m90370p	6	47	the	the	DET
xs55m90370p	6	48	highest	high	ADJ
xs55m90370p	6	49	order	order	NOUN
xs55m90370p	6	50	terms	term	NOUN
xs55m90370p	6	51	are	be	AUX
xs55m90370p	6	52	nonlinear	nonlinear	ADJ
xs55m90370p	6	53	.	.	PUNCT
xs55m90370p	7	1	we	we	PRON
xs55m90370p	7	2	solve	solve	VERB
xs55m90370p	7	3	these	these	DET
xs55m90370p	7	4	two	two	NUM
xs55m90370p	7	5	problems	problem	NOUN
xs55m90370p	7	6	by	by	ADP
xs55m90370p	7	7	developing	develop	VERB
xs55m90370p	7	8	new	new	ADJ
xs55m90370p	7	9	muilti	muilti	PROPN
xs55m90370p	7	10	-	-	PUNCT
xs55m90370p	7	11	step	step	NOUN
xs55m90370p	7	12	krylov	krylov	PROPN
xs55m90370p	7	13	iif	iif	PROPN
xs55m90370p	7	14	-	-	PUNCT
xs55m90370p	7	15	weno	weno	PROPN
xs55m90370p	7	16	methods	method	NOUN
xs55m90370p	7	17	to	to	PART
xs55m90370p	7	18	deal	deal	VERB
xs55m90370p	7	19	with	with	ADP
xs55m90370p	7	20	both	both	CCONJ
xs55m90370p	7	21	semilinear	semilinear	ADJ
xs55m90370p	7	22	and	and	CCONJ
xs55m90370p	7	23	fully	fully	ADV
xs55m90370p	7	24	nonlinear	nonlinear	ADJ
xs55m90370p	7	25	advection	advection	NOUN
xs55m90370p	7	26	-	-	PUNCT
xs55m90370p	7	27	diffusion	diffusion	NOUN
xs55m90370p	7	28	-	-	PUNCT
xs55m90370p	7	29	reaction	reaction	NOUN
xs55m90370p	7	30	equations	equation	NOUN
xs55m90370p	7	31	.	.	PUNCT
xs55m90370p	8	1	the	the	DET
xs55m90370p	8	2	methods	method	NOUN
xs55m90370p	8	3	can	can	AUX
xs55m90370p	8	4	be	be	AUX
xs55m90370p	8	5	designed	design	VERB
xs55m90370p	8	6	for	for	ADP
xs55m90370p	8	7	arbitrary	arbitrary	ADJ
xs55m90370p	8	8	order	order	NOUN
xs55m90370p	8	9	of	of	ADP
xs55m90370p	8	10	accuracy	accuracy	NOUN
xs55m90370p	8	11	.	.	PUNCT
xs55m90370p	9	1	the	the	DET
xs55m90370p	9	2	stiffness	stiffness	NOUN
xs55m90370p	9	3	of	of	ADP
xs55m90370p	9	4	the	the	DET
xs55m90370p	9	5	system	system	NOUN
xs55m90370p	9	6	is	be	AUX
xs55m90370p	9	7	resolved	resolve	VERB
xs55m90370p	9	8	well	well	ADV
xs55m90370p	9	9	and	and	CCONJ
xs55m90370p	9	10	the	the	DET
xs55m90370p	9	11	methods	method	NOUN
xs55m90370p	9	12	are	be	AUX
xs55m90370p	9	13	stable	stable	ADJ
xs55m90370p	9	14	by	by	ADP
xs55m90370p	9	15	using	use	VERB
xs55m90370p	9	16	time	time	NOUN
xs55m90370p	9	17	step	step	NOUN
xs55m90370p	9	18	sizes	size	NOUN
xs55m90370p	9	19	which	which	PRON
xs55m90370p	9	20	are	be	AUX
xs55m90370p	9	21	just	just	ADV
xs55m90370p	9	22	determined	determine	VERB
xs55m90370p	9	23	by	by	ADP
xs55m90370p	9	24	the	the	DET
xs55m90370p	9	25	non	non	ADJ
xs55m90370p	9	26	-	-	ADJ
xs55m90370p	9	27	stiff	stiff	ADJ
xs55m90370p	9	28	hyperbolic	hyperbolic	ADJ
xs55m90370p	9	29	part	part	NOUN
xs55m90370p	9	30	of	of	ADP
xs55m90370p	9	31	the	the	DET
xs55m90370p	9	32	system	system	NOUN
xs55m90370p	9	33	.	.	PUNCT
xs55m90370p	10	1	large	large	ADJ
xs55m90370p	10	2	time	time	NOUN
xs55m90370p	10	3	step	step	NOUN
xs55m90370p	10	4	size	size	NOUN
xs55m90370p	10	5	computations	computation	NOUN
xs55m90370p	10	6	are	be	AUX
xs55m90370p	10	7	obtained	obtain	VERB
xs55m90370p	10	8	.	.	PUNCT
xs55m90370p	11	1	the	the	DET
xs55m90370p	11	2	second	second	ADJ
xs55m90370p	11	3	part	part	NOUN
xs55m90370p	11	4	is	be	AUX
xs55m90370p	11	5	about	about	ADP
xs55m90370p	11	6	single	single	ADJ
xs55m90370p	11	7	-	-	PUNCT
xs55m90370p	11	8	step	step	NOUN
xs55m90370p	11	9	krylov	krylov	PROPN
xs55m90370p	11	10	iif	iif	PROPN
xs55m90370p	11	11	-	-	PUNCT
xs55m90370p	11	12	weno	weno	PROPN
xs55m90370p	11	13	methods	method	NOUN
xs55m90370p	11	14	.	.	PUNCT
xs55m90370p	12	1	so	so	ADV
xs55m90370p	12	2	far	far	ADV
xs55m90370p	12	3	,	,	PUNCT
xs55m90370p	12	4	the	the	DET
xs55m90370p	12	5	iif	iif	PROPN
xs55m90370p	12	6	methods	method	NOUN
xs55m90370p	12	7	developed	develop	VERB
xs55m90370p	12	8	in	in	ADP
xs55m90370p	12	9	the	the	DET
xs55m90370p	12	10	literature	literature	NOUN
xs55m90370p	12	11	are	be	AUX
xs55m90370p	12	12	multi	multi	ADJ
xs55m90370p	12	13	-	-	ADJ
xs55m90370p	12	14	step	step	ADJ
xs55m90370p	12	15	methods	method	NOUN
xs55m90370p	12	16	.	.	PUNCT
xs55m90370p	13	1	hence	hence	ADV
xs55m90370p	13	2	,	,	PUNCT
xs55m90370p	13	3	we	we	PRON
xs55m90370p	13	4	develop	develop	VERB
xs55m90370p	13	5	single	single	ADJ
xs55m90370p	13	6	-	-	PUNCT
xs55m90370p	13	7	step	step	NOUN
xs55m90370p	13	8	krylov	krylov	PROPN
xs55m90370p	13	9	iif	iif	PROPN
xs55m90370p	13	10	-	-	PUNCT
xs55m90370p	13	11	weno	weno	ADJ
xs55m90370p	13	12	methods	method	NOUN
xs55m90370p	13	13	for	for	ADP
xs55m90370p	13	14	solving	solve	VERB
xs55m90370p	13	15	stiff	stiff	ADJ
xs55m90370p	13	16	advection	advection	NOUN
xs55m90370p	13	17	-	-	PUNCT
xs55m90370p	13	18	diffusion	diffusion	NOUN
xs55m90370p	13	19	-	-	PUNCT
xs55m90370p	13	20	reaction	reaction	NOUN
xs55m90370p	13	21	equations	equation	NOUN
xs55m90370p	13	22	.	.	PUNCT
xs55m90370p	14	1	the	the	DET
xs55m90370p	14	2	methods	method	NOUN
xs55m90370p	14	3	are	be	AUX
xs55m90370p	14	4	designed	design	VERB
xs55m90370p	14	5	carefully	carefully	ADV
xs55m90370p	14	6	to	to	PART
xs55m90370p	14	7	avoid	avoid	VERB
xs55m90370p	14	8	generating	generate	VERB
xs55m90370p	14	9	positive	positive	ADJ
xs55m90370p	14	10	exponentials	exponential	NOUN
xs55m90370p	14	11	in	in	ADP
xs55m90370p	14	12	the	the	DET
xs55m90370p	14	13	matrix	matrix	NOUN
xs55m90370p	14	14	exponentials	exponential	NOUN
xs55m90370p	14	15	,	,	PUNCT
xs55m90370p	14	16	which	which	PRON
xs55m90370p	14	17	is	be	AUX
xs55m90370p	14	18	necessary	necessary	ADJ
xs55m90370p	14	19	for	for	ADP
xs55m90370p	14	20	the	the	DET
xs55m90370p	14	21	stability	stability	NOUN
xs55m90370p	14	22	of	of	ADP
xs55m90370p	14	23	the	the	DET
xs55m90370p	14	24	schemes	scheme	NOUN
xs55m90370p	14	25	.	.	PUNCT
xs55m90370p	15	1	we	we	PRON
xs55m90370p	15	2	analyze	analyze	VERB
xs55m90370p	15	3	the	the	DET
xs55m90370p	15	4	stability	stability	NOUN
xs55m90370p	15	5	and	and	CCONJ
xs55m90370p	15	6	truncation	truncation	NOUN
xs55m90370p	15	7	errors	error	NOUN
xs55m90370p	15	8	of	of	ADP
xs55m90370p	15	9	both	both	CCONJ
xs55m90370p	15	10	the	the	DET
xs55m90370p	15	11	single	single	ADJ
xs55m90370p	15	12	-	-	PUNCT
xs55m90370p	15	13	step	step	NOUN
xs55m90370p	15	14	and	and	CCONJ
xs55m90370p	15	15	multi	multi	ADJ
xs55m90370p	15	16	-	-	ADJ
xs55m90370p	15	17	step	step	ADJ
xs55m90370p	15	18	schemes	scheme	NOUN
xs55m90370p	15	19	.	.	PUNCT
xs55m90370p	16	1	numerical	numerical	ADJ
xs55m90370p	16	2	examples	example	NOUN
xs55m90370p	16	3	of	of	ADP
xs55m90370p	16	4	both	both	CCONJ
xs55m90370p	16	5	scalar	scalar	ADJ
xs55m90370p	16	6	equations	equation	NOUN
xs55m90370p	16	7	and	and	CCONJ
xs55m90370p	16	8	systems	system	NOUN
xs55m90370p	16	9	are	be	AUX
xs55m90370p	16	10	shown	show	VERB
xs55m90370p	16	11	to	to	PART
xs55m90370p	16	12	demonstrate	demonstrate	VERB
xs55m90370p	16	13	the	the	DET
xs55m90370p	16	14	accuracy	accuracy	NOUN
xs55m90370p	16	15	,	,	PUNCT
xs55m90370p	16	16	efficiency	efficiency	NOUN
xs55m90370p	16	17	and	and	CCONJ
xs55m90370p	16	18	robustness	robustness	NOUN
xs55m90370p	16	19	of	of	ADP
xs55m90370p	16	20	these	these	DET
xs55m90370p	16	21	two	two	NUM
xs55m90370p	16	22	schemes	scheme	NOUN
xs55m90370p	16	23	.	.	PUNCT