id	sid	tid	token	lemma	pos
9p290863451	1	1	in	in	ADP
9p290863451	1	2	this	this	DET
9p290863451	1	3	work	work	NOUN
9p290863451	1	4	,	,	PUNCT
9p290863451	1	5	we	we	PRON
9p290863451	1	6	describe	describe	VERB
9p290863451	1	7	an	an	DET
9p290863451	1	8	adaptive	adaptive	ADJ
9p290863451	1	9	wavelet	wavelet	NOUN
9p290863451	1	10	method	method	NOUN
9p290863451	1	11	for	for	ADP
9p290863451	1	12	the	the	DET
9p290863451	1	13	solution	solution	NOUN
9p290863451	1	14	of	of	ADP
9p290863451	1	15	time	time	NOUN
9p290863451	1	16	-	-	PUNCT
9p290863451	1	17	independent	independent	ADJ
9p290863451	1	18	and	and	CCONJ
9p290863451	1	19	time	time	NOUN
9p290863451	1	20	-	-	PUNCT
9p290863451	1	21	dependent	dependent	ADJ
9p290863451	1	22	partial	partial	ADJ
9p290863451	1	23	differential	differential	ADJ
9p290863451	1	24	equations	equation	NOUN
9p290863451	1	25	in	in	ADP
9p290863451	1	26	d	d	NOUN
9p290863451	1	27	-	-	NOUN
9p290863451	1	28	dimensions	dimension	NOUN
9p290863451	1	29	.	.	PUNCT
9p290863451	2	1	the	the	DET
9p290863451	2	2	method	method	NOUN
9p290863451	2	3	is	be	AUX
9p290863451	2	4	based	base	VERB
9p290863451	2	5	on	on	ADP
9p290863451	2	6	d	d	ADJ
9p290863451	2	7	-	-	ADJ
9p290863451	2	8	dimensional	dimensional	ADJ
9p290863451	2	9	interpolating	interpolate	VERB
9p290863451	2	10	wavelets	wavelet	NOUN
9p290863451	2	11	constructed	construct	VERB
9p290863451	2	12	from	from	ADP
9p290863451	2	13	tensor	tensor	NOUN
9p290863451	2	14	products	product	NOUN
9p290863451	2	15	of	of	ADP
9p290863451	2	16	1	1	NUM
9p290863451	2	17	-	-	PUNCT
9p290863451	2	18	d	d	NOUN
9p290863451	2	19	interpolating	interpolate	VERB
9p290863451	2	20	wavelets	wavelet	NOUN
9p290863451	2	21	.	.	PUNCT
9p290863451	3	1	the	the	DET
9p290863451	3	2	connection	connection	NOUN
9p290863451	3	3	between	between	ADP
9p290863451	3	4	interpolating	interpolate	VERB
9p290863451	3	5	wavelets	wavelet	NOUN
9p290863451	3	6	and	and	CCONJ
9p290863451	3	7	dyadic	dyadic	ADJ
9p290863451	3	8	grid	grid	NOUN
9p290863451	3	9	points	point	NOUN
9p290863451	3	10	,	,	PUNCT
9p290863451	3	11	and	and	CCONJ
9p290863451	3	12	the	the	DET
9p290863451	3	13	fact	fact	NOUN
9p290863451	3	14	that	that	SCONJ
9p290863451	3	15	wavelet	wavelet	NOUN
9p290863451	3	16	amplitudes	amplitude	NOUN
9p290863451	3	17	indicate	indicate	VERB
9p290863451	3	18	the	the	DET
9p290863451	3	19	local	local	ADJ
9p290863451	3	20	regularity	regularity	NOUN
9p290863451	3	21	of	of	ADP
9p290863451	3	22	solutions	solution	NOUN
9p290863451	3	23	are	be	AUX
9p290863451	3	24	used	use	VERB
9p290863451	3	25	in	in	ADP
9p290863451	3	26	the	the	DET
9p290863451	3	27	construction	construction	NOUN
9p290863451	3	28	of	of	ADP
9p290863451	3	29	a	a	DET
9p290863451	3	30	computational	computational	ADJ
9p290863451	3	31	grid	grid	NOUN
9p290863451	3	32	of	of	ADP
9p290863451	3	33	irregular	irregular	ADJ
9p290863451	3	34	points	point	NOUN
9p290863451	3	35	.	.	PUNCT
9p290863451	4	1	operations	operation	NOUN
9p290863451	4	2	,	,	PUNCT
9p290863451	4	3	such	such	ADJ
9p290863451	4	4	as	as	ADP
9p290863451	4	5	the	the	DET
9p290863451	4	6	wavelet	wavelet	NOUN
9p290863451	4	7	transform	transform	NOUN
9p290863451	4	8	,	,	PUNCT
9p290863451	4	9	its	its	PRON
9p290863451	4	10	inverse	inverse	NOUN
9p290863451	4	11	,	,	PUNCT
9p290863451	4	12	and	and	CCONJ
9p290863451	4	13	interpolation	interpolation	NOUN
9p290863451	4	14	are	be	AUX
9p290863451	4	15	performed	perform	VERB
9p290863451	4	16	efficiently	efficiently	ADV
9p290863451	4	17	.	.	PUNCT
9p290863451	5	1	in	in	ADP
9p290863451	5	2	the	the	DET
9p290863451	5	3	spatial	spatial	ADJ
9p290863451	5	4	discretization	discretization	NOUN
9p290863451	5	5	,	,	PUNCT
9p290863451	5	6	the	the	DET
9p290863451	5	7	derivative	derivative	ADJ
9p290863451	5	8	approximation	approximation	NOUN
9p290863451	5	9	on	on	ADP
9p290863451	5	10	the	the	DET
9p290863451	5	11	irregular	irregular	ADJ
9p290863451	5	12	grid	grid	NOUN
9p290863451	5	13	is	be	AUX
9p290863451	5	14	obtained	obtain	VERB
9p290863451	5	15	by	by	ADP
9p290863451	5	16	means	mean	NOUN
9p290863451	5	17	of	of	ADP
9p290863451	5	18	consistent	consistent	ADJ
9p290863451	5	19	finite	finite	ADJ
9p290863451	5	20	differences	difference	NOUN
9p290863451	5	21	.	.	PUNCT
9p290863451	6	1	an	an	DET
9p290863451	6	2	extension	extension	NOUN
9p290863451	6	3	of	of	ADP
9p290863451	6	4	the	the	DET
9p290863451	6	5	adaptive	adaptive	ADJ
9p290863451	6	6	method	method	NOUN
9p290863451	6	7	to	to	ADP
9p290863451	6	8	problems	problem	NOUN
9p290863451	6	9	defined	define	VERB
9p290863451	6	10	on	on	ADP
9p290863451	6	11	more	more	ADV
9p290863451	6	12	complicated	complicated	ADJ
9p290863451	6	13	domains	domain	NOUN
9p290863451	6	14	is	be	AUX
9p290863451	6	15	achieved	achieve	VERB
9p290863451	6	16	by	by	ADP
9p290863451	6	17	a	a	DET
9p290863451	6	18	domain	domain	NOUN
9p290863451	6	19	transformation	transformation	NOUN
9p290863451	6	20	technique	technique	NOUN
9p290863451	6	21	.	.	PUNCT
9p290863451	7	1	for	for	ADP
9p290863451	7	2	time	time	NOUN
9p290863451	7	3	-	-	PUNCT
9p290863451	7	4	independent	independent	ADJ
9p290863451	7	5	problems	problem	NOUN
9p290863451	7	6	,	,	PUNCT
9p290863451	7	7	the	the	DET
9p290863451	7	8	method	method	NOUN
9p290863451	7	9	is	be	AUX
9p290863451	7	10	tested	test	VERB
9p290863451	7	11	on	on	ADP
9p290863451	7	12	2and	2and	NUM
9p290863451	7	13	3	3	NUM
9p290863451	7	14	-	-	PUNCT
9p290863451	7	15	d	d	NOUN
9p290863451	7	16	poisson	poisson	NOUN
9p290863451	7	17	and	and	CCONJ
9p290863451	7	18	helmholtz	helmholtz	PROPN
9p290863451	7	19	problems	problem	NOUN
9p290863451	7	20	with	with	ADP
9p290863451	7	21	exact	exact	ADJ
9p290863451	7	22	manufactured	manufacture	VERB
9p290863451	7	23	solutions	solution	NOUN
9p290863451	7	24	in	in	ADP
9p290863451	7	25	order	order	NOUN
9p290863451	7	26	to	to	PART
9p290863451	7	27	numerically	numerically	ADV
9p290863451	7	28	study	study	VERB
9p290863451	7	29	the	the	DET
9p290863451	7	30	connection	connection	NOUN
9p290863451	7	31	between	between	ADP
9p290863451	7	32	the	the	DET
9p290863451	7	33	order	order	NOUN
9p290863451	7	34	of	of	ADP
9p290863451	7	35	the	the	DET
9p290863451	7	36	wavelet	wavelet	NOUN
9p290863451	7	37	,	,	PUNCT
9p290863451	7	38	the	the	DET
9p290863451	7	39	order	order	NOUN
9p290863451	7	40	of	of	ADP
9p290863451	7	41	finite	finite	ADJ
9p290863451	7	42	difference	difference	NOUN
9p290863451	7	43	,	,	PUNCT
9p290863451	7	44	the	the	DET
9p290863451	7	45	threshold	threshold	NOUN
9p290863451	7	46	values	value	NOUN
9p290863451	7	47	,	,	PUNCT
9p290863451	7	48	and	and	CCONJ
9p290863451	7	49	the	the	DET
9p290863451	7	50	accuracy	accuracy	NOUN
9p290863451	7	51	of	of	ADP
9p290863451	7	52	numerical	numerical	ADJ
9p290863451	7	53	solutions	solution	NOUN
9p290863451	7	54	.	.	PUNCT
9p290863451	8	1	the	the	DET
9p290863451	8	2	combustion	combustion	NOUN
9p290863451	8	3	of	of	ADP
9p290863451	8	4	a	a	DET
9p290863451	8	5	$	$	SYM
9p290863451	8	6	2$-d	2$-d	NUM
9p290863451	8	7	flame	flame	NOUN
9p290863451	8	8	ball	ball	NOUN
9p290863451	8	9	-	-	PUNCT
9p290863451	8	10	vortex	vortex	NOUN
9p290863451	8	11	interaction	interaction	NOUN
9p290863451	8	12	is	be	AUX
9p290863451	8	13	used	use	VERB
9p290863451	8	14	as	as	ADP
9p290863451	8	15	a	a	DET
9p290863451	8	16	test	test	NOUN
9p290863451	8	17	problem	problem	NOUN
9p290863451	8	18	for	for	ADP
9p290863451	8	19	the	the	DET
9p290863451	8	20	time	time	NOUN
9p290863451	8	21	-	-	PUNCT
9p290863451	8	22	independent	independent	ADJ
9p290863451	8	23	algorithm	algorithm	NOUN
9p290863451	8	24	.	.	PUNCT
9p290863451	9	1	application	application	NOUN
9p290863451	9	2	of	of	ADP
9p290863451	9	3	adaptive	adaptive	ADJ
9p290863451	9	4	method	method	NOUN
9p290863451	9	5	to	to	ADP
9p290863451	9	6	incompressible	incompressible	ADJ
9p290863451	9	7	navier	navier	NOUN
9p290863451	9	8	-	-	PUNCT
9p290863451	9	9	stokes	stoke	NOUN
9p290863451	9	10	equations	equation	NOUN
9p290863451	9	11	is	be	AUX
9p290863451	9	12	accomplished	accomplish	VERB
9p290863451	9	13	through	through	ADP
9p290863451	9	14	the	the	DET
9p290863451	9	15	use	use	NOUN
9p290863451	9	16	of	of	ADP
9p290863451	9	17	the	the	DET
9p290863451	9	18	chorin	chorin	PROPN
9p290863451	9	19	projection	projection	NOUN
9p290863451	9	20	method	method	NOUN
9p290863451	9	21	for	for	ADP
9p290863451	9	22	time	time	NOUN
9p290863451	9	23	discretization	discretization	NOUN
9p290863451	9	24	.	.	PUNCT
9p290863451	10	1	we	we	PRON
9p290863451	10	2	apply	apply	VERB
9p290863451	10	3	the	the	DET
9p290863451	10	4	algorithm	algorithm	NOUN
9p290863451	10	5	to	to	PART
9p290863451	10	6	simulate	simulate	VERB
9p290863451	10	7	the	the	DET
9p290863451	10	8	flow	flow	NOUN
9p290863451	10	9	in	in	ADP
9p290863451	10	10	the	the	DET
9p290863451	10	11	2	2	NUM
9p290863451	10	12	-	-	PUNCT
9p290863451	10	13	d	d	NOUN
9p290863451	10	14	lid	lid	ADJ
9p290863451	10	15	-	-	PUNCT
9p290863451	10	16	driven	drive	VERB
9p290863451	10	17	cavity	cavity	NOUN
9p290863451	10	18	at	at	ADP
9p290863451	10	19	moderate	moderate	ADJ
9p290863451	10	20	reynolds	reynold	NOUN
9p290863451	10	21	numbers	number	NOUN
9p290863451	10	22	and	and	CCONJ
9p290863451	10	23	in	in	ADP
9p290863451	10	24	the	the	DET
9p290863451	10	25	2	2	NUM
9p290863451	10	26	-	-	PUNCT
9p290863451	10	27	d	d	NOUN
9p290863451	10	28	differentially	differentially	ADV
9p290863451	10	29	-	-	PUNCT
9p290863451	10	30	heated	heat	VERB
9p290863451	10	31	cavity	cavity	NOUN
9p290863451	10	32	at	at	ADP
9p290863451	10	33	high	high	ADJ
9p290863451	10	34	rayleigh	rayleigh	NOUN
9p290863451	10	35	numbers	number	NOUN
9p290863451	10	36	,	,	PUNCT
9p290863451	10	37	and	and	CCONJ
9p290863451	10	38	in	in	ADP
9p290863451	10	39	the	the	DET
9p290863451	10	40	3	3	NUM
9p290863451	10	41	-	-	PUNCT
9p290863451	10	42	d	d	NOUN
9p290863451	10	43	differentially	differentially	ADV
9p290863451	10	44	heated	heated	ADJ
9p290863451	10	45	cavity	cavity	NOUN
9p290863451	10	46	for	for	ADP
9p290863451	10	47	various	various	ADJ
9p290863451	10	48	values	value	NOUN
9p290863451	10	49	of	of	ADP
9p290863451	10	50	rayleigh	rayleigh	NOUN
9p290863451	10	51	numbers	number	NOUN
9p290863451	10	52	.	.	PUNCT
9p290863451	11	1	it	it	PRON
9p290863451	11	2	is	be	AUX
9p290863451	11	3	found	find	VERB
9p290863451	11	4	that	that	SCONJ
9p290863451	11	5	numerical	numerical	ADJ
9p290863451	11	6	results	result	NOUN
9p290863451	11	7	,	,	PUNCT
9p290863451	11	8	while	while	SCONJ
9p290863451	11	9	requiring	require	VERB
9p290863451	11	10	a	a	DET
9p290863451	11	11	relatively	relatively	ADV
9p290863451	11	12	small	small	ADJ
9p290863451	11	13	number	number	NOUN
9p290863451	11	14	of	of	ADP
9p290863451	11	15	degrees	degree	NOUN
9p290863451	11	16	of	of	ADP
9p290863451	11	17	freedom	freedom	NOUN
9p290863451	11	18	,	,	PUNCT
9p290863451	11	19	are	be	AUX
9p290863451	11	20	in	in	ADP
9p290863451	11	21	good	good	ADJ
9p290863451	11	22	agreement	agreement	NOUN
9p290863451	11	23	with	with	ADP
9p290863451	11	24	the	the	DET
9p290863451	11	25	most	most	ADV
9p290863451	11	26	accurate	accurate	ADJ
9p290863451	11	27	results	result	NOUN
9p290863451	11	28	available	available	ADJ
9p290863451	11	29	in	in	ADP
9p290863451	11	30	the	the	DET
9p290863451	11	31	literature	literature	NOUN
9p290863451	11	32	.	.	PUNCT