id	sid	eid	entity	type
ap-6304	1	1	acta polytechnica	PERSON
ap-6304	1	2	61(si):49–58	CARDINAL
ap-6304	1	3	2021	CARDINAL
ap-6304	1	4	2021	CARDINAL
ap-6304	2	1	4.0	CARDINAL
ap-6304	2	2	the czech technical university	ORG
ap-6304	2	3	prague	GPE
ap-6304	2	4	one	CARDINAL
ap-6304	2	5	b,∗	PERSON
ap-6304	2	6	karel kozela	PERSON
ap-6304	2	7	czech	NORP
ap-6304	2	8	prague	GPE
ap-6304	2	9	13	CARDINAL
ap-6304	2	10	121	CARDINAL
ap-6304	2	11	35	CARDINAL
ap-6304	2	12	prague	GPE
ap-6304	2	13	czech	NORP
ap-6304	2	14	czech academy of sciences	ORG
ap-6304	2	15	25	CARDINAL
ap-6304	2	16	115	CARDINAL
ap-6304	2	17	67	CARDINAL
ap-6304	2	18	prague	GPE
ap-6304	2	19	czech	NORP
ap-6304	2	20	université de toulon	ORG
ap-6304	2	21	mediterranean institute	ORG
ap-6304	2	22	20132	DATE
ap-6304	2	23	la garde cedex	PERSON
ap-6304	2	24	france ∗	ORG
ap-6304	3	1	one	CARDINAL
ap-6304	4	1	two	CARDINAL
ap-6304	4	2	three	CARDINAL
ap-6304	7	1	1	CARDINAL
ap-6304	9	1	the years	DATE
ap-6304	10	1	first	ORDINAL
ap-6304	19	1	one	CARDINAL
ap-6304	21	1	first	ORDINAL
ap-6304	23	1	first	ORDINAL
ap-6304	25	1	2	CARDINAL
ap-6304	25	2	three	CARDINAL
ap-6304	28	1	u(x	ORG
ap-6304	28	2	u(x	ORG
ap-6304	30	1	1	CARDINAL
ap-6304	32	1	2π	CARDINAL
ap-6304	33	1	t)e−iξxdx	ORG
ap-6304	33	2	u(x	ORG
ap-6304	34	1	2π	CARDINAL
ap-6304	36	1	t. bodnár	PERSON
ap-6304	36	2	fraunié,	ORG
ap-6304	36	3	k. kozel	PERSON
ap-6304	37	1	polytechnica	GPE
ap-6304	37	2	u x u(x	WORK_OF_ART
ap-6304	38	1	x)η0	PERSON
ap-6304	38	2	1	CARDINAL
ap-6304	40	1	1	CARDINAL
ap-6304	41	1	2.1	CARDINAL
ap-6304	41	2	first	ORDINAL
ap-6304	42	1	0	CARDINAL
ap-6304	42	2	0	CARDINAL
ap-6304	44	1	u(x	ORG
ap-6304	46	1	u(x	ORG
ap-6304	47	1	2π	CARDINAL
ap-6304	48	1	u(x	ORG
ap-6304	49	1	2π	CARDINAL
ap-6304	50	1	η̂(ξ)eiξ(x−at)dξ	PERSON
ap-6304	50	2	η(x	NORP
ap-6304	50	3	u(x	ORG
ap-6304	53	1	2	CARDINAL
ap-6304	56	1	0t	CARDINAL
ap-6304	58	1	2	CARDINAL
ap-6304	59	1	0t	CARDINAL
ap-6304	60	1	3	CARDINAL
ap-6304	61	1	2.2	CARDINAL
ap-6304	61	2	second	ORDINAL
ap-6304	62	1	0	CARDINAL
ap-6304	62	2	pde	ORG
ap-6304	62	3	u(x	ORG
ap-6304	63	1	2π	CARDINAL
ap-6304	64	1	2btη̂(ξ)eiξxdξ	CARDINAL
ap-6304	65	1	η(x	NORP
ap-6304	66	1	0	CARDINAL
ap-6304	70	1	3	CARDINAL
ap-6304	70	2	2.3	CARDINAL
ap-6304	71	1	ut +	LOC
ap-6304	71	2	0	CARDINAL
ap-6304	72	1	50	CARDINAL
ap-6304	73	1	61	CARDINAL
ap-6304	73	2	u(x	ORG
ap-6304	74	1	2π	CARDINAL
ap-6304	75	1	u(x	ORG
ap-6304	76	1	2π	CARDINAL
ap-6304	77	1	u(x	ORG
ap-6304	79	1	2π	CARDINAL
ap-6304	80	1	η̂(ξ)eiξ(x−at)dξ	PERSON
ap-6304	84	1	2.4	CARDINAL
ap-6304	88	1	4.1–5	CARDINAL
ap-6304	89	1	3	CARDINAL
ap-6304	92	1	one	CARDINAL
ap-6304	93	1	u(x	ORG
ap-6304	94	1	i∆x	NORP
ap-6304	95	1	taylor	PERSON
ap-6304	96	1	4	CARDINAL
ap-6304	97	1	1	CARDINAL
ap-6304	99	1	2	CARDINAL
ap-6304	99	2	3	CARDINAL
ap-6304	99	3	4	CARDINAL
ap-6304	100	1	3.1	CARDINAL
ap-6304	100	2	three	CARDINAL
ap-6304	100	3	two	CARDINAL
ap-6304	101	1	4	CARDINAL
ap-6304	106	1	1−	LANGUAGE
ap-6304	109	1	1−	LANGUAGE
ap-6304	110	1	1	CARDINAL
ap-6304	111	1	1/2	CARDINAL
ap-6304	115	1	2	CARDINAL
ap-6304	115	2	3.2	CARDINAL
ap-6304	116	1	central &	ORG
ap-6304	117	1	2	CARDINAL
ap-6304	118	1	51	CARDINAL
ap-6304	118	2	t. bodnár	PERSON
ap-6304	118	3	fraunié,	ORG
ap-6304	118	4	k. kozel acta	PERSON
ap-6304	124	1	1 2	CARDINAL
ap-6304	126	1	2∆x2	CARDINAL
ap-6304	126	2	2uni +	DATE
ap-6304	126	3	1	CARDINAL
ap-6304	131	1	1 2	CARDINAL
ap-6304	131	2	1 2	CARDINAL
ap-6304	131	3	2a∆t	CARDINAL
ap-6304	132	1	1 2	CARDINAL
ap-6304	132	2	2∆x	CARDINAL
ap-6304	132	3	2	CARDINAL
ap-6304	134	1	2α	CARDINAL
ap-6304	137	1	2α{c}+	CARDINAL
ap-6304	137	2	1− 2α){u	CARDINAL
ap-6304	137	3	0 3.3	CARDINAL
ap-6304	138	1	central &	ORG
ap-6304	138	2	second	ORDINAL
ap-6304	139	1	second	ORDINAL
ap-6304	141	1	2	CARDINAL
ap-6304	145	1	1− 2α)a∆x 2	DATE
ap-6304	145	2	0 3.3.1	CARDINAL
ap-6304	145	3	first	ORDINAL
ap-6304	148	1	1− 2α)a∆x 2	DATE
ap-6304	148	2	0 1 a∆x 2	MONEY
ap-6304	148	3	1	CARDINAL
ap-6304	148	4	2	CARDINAL
ap-6304	149	1	1 2	CARDINAL
ap-6304	150	1	1 2	CARDINAL
ap-6304	150	2	∆x	DATE
ap-6304	150	3	2a∆t	CARDINAL
ap-6304	150	4	1	CARDINAL
ap-6304	150	5	2∆t	CARDINAL
ap-6304	150	6	1 2	CARDINAL
ap-6304	150	7	2∆x	CARDINAL
ap-6304	150	8	2	CARDINAL
ap-6304	150	9	3	CARDINAL
ap-6304	157	1	µuxx	PERSON
ap-6304	158	1	1− 2α)︸ ︷︷	TIME
ap-6304	158	2	2	CARDINAL
ap-6304	159	1	3	CARDINAL
ap-6304	161	1	a∆t ∆x	PERSON
ap-6304	164	1	4	CARDINAL
ap-6304	164	2	52	CARDINAL
ap-6304	165	1	61	CARDINAL
ap-6304	165	2	2	CARDINAL
ap-6304	166	1	1	CARDINAL
ap-6304	166	2	1 a∆x 2	CARDINAL
ap-6304	167	1	1 γ	QUANTITY
ap-6304	167	2	1 ∆x2 2∆t	CARDINAL
ap-6304	167	3	4	CARDINAL
ap-6304	168	1	4	CARDINAL
ap-6304	175	1	4.	CARDINAL
ap-6304	176	1	taylor	PERSON
ap-6304	176	2	taylor	PERSON
ap-6304	179	1	4.1	CARDINAL
ap-6304	182	1	0	CARDINAL
ap-6304	182	2	euler	PERSON
ap-6304	183	1	u(xi	GPE
ap-6304	183	2	taylor	PERSON
ap-6304	184	1	u(xi	ORG
ap-6304	184	2	tn+1)−u(xi	GPE
ap-6304	186	1	u(xi	GPE
ap-6304	188	1	2 utt(xi	PERCENT
ap-6304	190	1	u(xi, tn)−∆xux(xi	ORG
ap-6304	190	2	2	CARDINAL
ap-6304	190	3	6	CARDINAL
ap-6304	192	1	6 uttt(xi	PERCENT
ap-6304	193	1	∆x	DATE
ap-6304	193	2	2	CARDINAL
ap-6304	193	3	taylor	PERSON
ap-6304	194	1	u(xi	GPE
ap-6304	194	2	tn+1)−u(xi	GPE
ap-6304	196	1	+ aux(xi	GPE
ap-6304	200	1	+ aux(xi	GPE
ap-6304	200	2	6 uttt(xi	PERCENT
ap-6304	201	1	53	CARDINAL
ap-6304	201	2	fraunié,	ORG
ap-6304	201	3	k. kozel acta polytechnica	PERSON
ap-6304	202	1	taylor	PERSON
ap-6304	203	1	0	CARDINAL
ap-6304	203	2	a2uxx & uttt = −a3uxxx	ORG
ap-6304	204	1	+ aux(xi	GPE
ap-6304	205	1	2	CARDINAL
ap-6304	209	1	+ aux(xi	GPE
ap-6304	210	1	2	CARDINAL
ap-6304	210	2	2	CARDINAL
ap-6304	212	1	second	ORDINAL
ap-6304	214	1	+ aux(xi	GPE
ap-6304	214	2	2	CARDINAL
ap-6304	214	3	1− γ)uxx(xi	TIME
ap-6304	215	1	2	CARDINAL
ap-6304	215	2	1−	ORDINAL
ap-6304	215	3	first	ORDINAL
ap-6304	215	4	second	ORDINAL
ap-6304	216	1	1st	ORDINAL
ap-6304	218	1	∆x	DATE
ap-6304	218	2	2nd	ORDINAL
ap-6304	218	3	2	CARDINAL
ap-6304	218	4	1−	CARDINAL
ap-6304	220	1	n α4 α α	DATE
ap-6304	220	2	3 2	CARDINAL
ap-6304	220	3	5	CARDINAL
ap-6304	222	1	∆x	DATE
ap-6304	224	1	1	CARDINAL
ap-6304	225	1	4.2	CARDINAL
ap-6304	229	1	∆t +	LOC
ap-6304	234	1	0	CARDINAL
ap-6304	236	1	5	CARDINAL
ap-6304	237	1	1	CARDINAL
ap-6304	237	2	6=	CARDINAL
ap-6304	240	1	5	CARDINAL
ap-6304	240	2	two	CARDINAL
ap-6304	241	1	two	CARDINAL
ap-6304	241	2	1	CARDINAL
ap-6304	241	3	54	CARDINAL
ap-6304	242	1	61	CARDINAL
ap-6304	242	2	0 1	CARDINAL
ap-6304	243	1	1	CARDINAL
ap-6304	244	1	1 2	CARDINAL
ap-6304	245	1	1 2	CARDINAL
ap-6304	245	2	∆x	DATE
ap-6304	245	3	2a∆t	CARDINAL
ap-6304	245	4	1 2 + ∆x	QUANTITY
ap-6304	245	5	2a∆t	CARDINAL
ap-6304	245	6	0 0	ORG
ap-6304	246	1	lw	ORG
ap-6304	246	2	1 2	CARDINAL
ap-6304	246	3	1 2 + a∆t	QUANTITY
ap-6304	246	4	2∆x	CARDINAL
ap-6304	247	1	1 2	CARDINAL
ap-6304	247	2	0 1 2	QUANTITY
ap-6304	247	3	5	CARDINAL
ap-6304	247	4	three	CARDINAL
ap-6304	249	1	1− γ)a∆x 2	DATE
ap-6304	251	1	+ γ)a∆x 2	DATE
ap-6304	252	1	2	CARDINAL
ap-6304	254	1	1	CARDINAL
ap-6304	254	2	γ)a∆x 2	DATE
ap-6304	255	1	γ2)a∆x2	GPE
ap-6304	256	1	+ 3γ + γ2)a∆x2 12	DATE
ap-6304	256	2	12	CARDINAL
ap-6304	256	3	6	CARDINAL
ap-6304	259	1	6	CARDINAL
ap-6304	259	2	3rd	ORDINAL
ap-6304	263	1	−a∆x 2	DATE
ap-6304	264	1	α4)+ +	DATE
ap-6304	264	2	6	CARDINAL
ap-6304	264	3	1 + 3γ	CARDINAL
ap-6304	264	4	2)−	CARDINAL
ap-6304	264	5	3	CARDINAL
ap-6304	266	1	5	CARDINAL
ap-6304	266	2	0.5 1 1.5 2 0.8 1 1.2 1.4 1.6 1.8 2 2.2	QUANTITY
ap-6304	266	3	u ut + aux =	ORG
ap-6304	266	4	1− γ)a∆x 2	CARDINAL
ap-6304	266	5	6	CARDINAL
ap-6304	267	1	ε2uxx +	DATE
ap-6304	267	2	2	CARDINAL
ap-6304	267	3	6	CARDINAL
ap-6304	267	4	ε̃3	DATE
ap-6304	269	1	section 3	LAW
ap-6304	270	1	5.1	CARDINAL
ap-6304	271	1	2	CARDINAL
ap-6304	271	2	first	ORDINAL
ap-6304	274	1	first	ORDINAL
ap-6304	275	1	6	CARDINAL
ap-6304	276	1	7	CARDINAL
ap-6304	282	1	1	CARDINAL
ap-6304	282	2	1−γ	CARDINAL
ap-6304	285	1	6	CARDINAL
ap-6304	285	2	7	CARDINAL
ap-6304	285	3	55	CARDINAL
ap-6304	285	4	fraunié,	ORG
ap-6304	285	5	k. kozel acta	PERSON
ap-6304	285	6	ε̃3	DATE
ap-6304	286	1	1− γ	QUANTITY
ap-6304	286	2	0	CARDINAL
ap-6304	291	1	0	CARDINAL
ap-6304	291	2	0	CARDINAL
ap-6304	291	3	6=	CARDINAL
ap-6304	292	1	0	CARDINAL
ap-6304	293	1	1 2	CARDINAL
ap-6304	293	2	2 + 3γ	DATE
ap-6304	293	3	6=	CARDINAL
ap-6304	294	1	1 2	CARDINAL
ap-6304	294	2	2 +	DATE
ap-6304	294	3	6=	CARDINAL
ap-6304	294	4	7	CARDINAL
ap-6304	295	1	0.5 1 1.5 2 0.8 1 1.2 1.4 1.6 1.8 2 2.2	QUANTITY
ap-6304	295	2	u ut + aux =	ORG
ap-6304	295	3	1	CARDINAL
ap-6304	295	4	2	CARDINAL
ap-6304	295	5	7	CARDINAL
ap-6304	296	1	5.2	CARDINAL
ap-6304	297	1	first	ORDINAL
ap-6304	297	2	ε̃3	DATE
ap-6304	297	3	6	CARDINAL
ap-6304	298	1	second	ORDINAL
ap-6304	302	1	8	CARDINAL
ap-6304	303	1	ε̃3	DATE
ap-6304	303	2	ε̃3	DATE
ap-6304	303	3	+3γ+γ2)/2	DATE
ap-6304	305	1	6	CARDINAL
ap-6304	305	2	three	CARDINAL
ap-6304	305	3	two	CARDINAL
ap-6304	307	1	0 0.5 1	MONEY
ap-6304	307	2	1.6 1.8 2 2.2	QUANTITY
ap-6304	307	3	u ut + aux	ORG
ap-6304	307	4	γ2)a∆x2	GPE
ap-6304	307	5	6	CARDINAL
ap-6304	307	6	8	CARDINAL
ap-6304	309	1	0.5 1 1.5 2 0.8 1 1.2 1.4 1.6 1.8 2 2.2	QUANTITY
ap-6304	309	2	u ut + aux = −(2	ORG
ap-6304	309	3	+ 3γ + γ2)a∆x2 12	DATE
ap-6304	309	4	9	CARDINAL
ap-6304	316	1	56	CARDINAL
ap-6304	317	1	61	CARDINAL
ap-6304	317	2	5	CARDINAL
ap-6304	317	3	6	CARDINAL
ap-6304	319	1	7	CARDINAL
ap-6304	321	1	1	CARDINAL
ap-6304	321	2	section 3	LAW
ap-6304	323	1	7	CARDINAL
ap-6304	324	1	2	CARDINAL
ap-6304	324	2	two	CARDINAL
ap-6304	327	1	8	CARDINAL
ap-6304	328	1	3	CARDINAL
ap-6304	331	1	second	ORDINAL
ap-6304	331	2	fourth	ORDINAL
ap-6304	331	3	second	ORDINAL
ap-6304	331	4	fourth	ORDINAL
ap-6304	334	1	9	CARDINAL
ap-6304	334	2	10	CARDINAL
ap-6304	335	1	8	CARDINAL
ap-6304	344	1	t. bodnár	PERSON
ap-6304	344	2	the european regional development fund	ORG
ap-6304	344	3	the czech science foundation	ORG
ap-6304	345	1	19-04243s	DATE
ap-6304	346	1	1	CARDINAL
ap-6304	346	2	r. j. leveque	PERSON
ap-6304	348	1	siam	GPE
ap-6304	348	2	2007	DATE
ap-6304	349	1	2	CARDINAL
ap-6304	349	2	c. hirsch	PERSON
ap-6304	350	1	1,2	CARDINAL
ap-6304	351	1	john willey & sons	ORG
ap-6304	351	2	1988	DATE
ap-6304	352	1	3	CARDINAL
ap-6304	352	2	j. d. anderson	PERSON
ap-6304	353	1	1-2	CARDINAL
ap-6304	354	1	springer-verlag berlin heidelberg	ORG
ap-6304	354	2	2nd	ORDINAL
ap-6304	354	3	1991	DATE
ap-6304	355	1	4	CARDINAL
ap-6304	355	2	c. a. j. fletcher	PERSON
ap-6304	357	1	mcgraw-hill	ORG
ap-6304	357	2	1995	DATE
ap-6304	358	1	5	CARDINAL
ap-6304	358	2	r. j. leveque	PERSON
ap-6304	361	1	birkhäuser verlag	PERSON
ap-6304	361	2	1990	DATE
ap-6304	362	1	6	CARDINAL
ap-6304	362	2	r. j. leveque	PERSON
ap-6304	364	1	cambridge	GPE
ap-6304	365	1	cambridge university press	ORG
ap-6304	365	2	2002	DATE
ap-6304	366	1	7	CARDINAL
ap-6304	366	2	r. dvořák	PERSON
ap-6304	366	3	k. kozel	PERSON
ap-6304	367	1	czech	NORP
ap-6304	368	1	čvut, 1996	ORG
ap-6304	369	1	8	CARDINAL
ap-6304	371	1	siam journal	ORG
ap-6304	371	2	35(6):2250–2271	CARDINAL
ap-6304	371	3	1998	DATE
ap-6304	373	1	9	CARDINAL
ap-6304	373	2	l. beneš	PERSON
ap-6304	373	3	k. kozel	PERSON
ap-6304	374	1	il nuovo cimento	PERSON
ap-6304	374	2	31(5–6):619–632, 2008	DATE
ap-6304	375	1	10323-4	DATE
ap-6304	375	2	57	CARDINAL
ap-6304	375	3	t. bodnár	PERSON
ap-6304	375	4	fraunié,	ORG
ap-6304	375	5	k. kozel acta polytechnica	PERSON
ap-6304	376	1	10	CARDINAL
ap-6304	376	2	a. sequeira	PERSON
ap-6304	376	3	t. bodnár	PERSON
ap-6304	378	1	vietnam	GPE
ap-6304	378	2	47:851–864	PRODUCT
ap-6304	378	3	2019	DATE
ap-6304	379	1	61(si):49–58	CARDINAL
ap-6304	379	2	2021 1	CARDINAL
ap-6304	379	3	2	CARDINAL
ap-6304	379	4	2.1	CARDINAL
ap-6304	379	5	2.2	CARDINAL
ap-6304	379	6	2.3	CARDINAL
ap-6304	379	7	2.4	CARDINAL
ap-6304	379	8	3	CARDINAL
ap-6304	379	9	3.1	CARDINAL
ap-6304	379	10	3.2	CARDINAL
ap-6304	379	11	3.3	CARDINAL
ap-6304	379	12	central &	ORG
ap-6304	379	13	3.3.1	CARDINAL
ap-6304	379	14	4	CARDINAL
ap-6304	379	15	4.1	CARDINAL
ap-6304	379	16	4.2	CARDINAL
ap-6304	379	17	5	CARDINAL
ap-6304	379	18	5.1	CARDINAL
ap-6304	379	19	5.2	CARDINAL
ap-6304	379	20	6	CARDINAL
ap-6304	379	21	7	CARDINAL
ap-6304	379	22	8	CARDINAL