id	sid	eid	entity	type
ejpam-3423	1	1	european journal	ORG
ejpam-3423	2	1	12	CARDINAL
ejpam-3423	2	2	3, 2019	DATE
ejpam-3423	2	3	1215-1230	DATE
ejpam-3423	2	4	new york	GPE
ejpam-3423	2	5	kutta	NORP
ejpam-3423	2	6	muhammad asif gondal1,∗	PERSON
ejpam-3423	2	7	inayatur rehman1	PERSON
ejpam-3423	2	8	razzaque2 1	ORG
ejpam-3423	2	9	dhofar university	ORG
ejpam-3423	2	10	salalah	GPE
ejpam-3423	2	11	oman 2 department	ORG
ejpam-3423	2	12	lahore	GPE
ejpam-3423	2	13	pakistan	GPE
ejpam-3423	3	1	second	ORDINAL
ejpam-3423	3	2	runge-kutta	PERSON
ejpam-3423	6	1	2010	DATE
ejpam-3423	6	2	35k90	CARDINAL
ejpam-3423	6	3	kutta methods	ORG
ejpam-3423	6	4	1	CARDINAL
ejpam-3423	9	1	runge-kutta	NORP
ejpam-3423	9	2	hochbruck & ostermann	ORG
ejpam-3423	10	1	9	CARDINAL
ejpam-3423	10	2	linear	ORG
ejpam-3423	11	1	hochbruck & ostermann	ORG
ejpam-3423	12	1	8	CARDINAL
ejpam-3423	13	1	gondal	ORG
ejpam-3423	13	2	4	CARDINAL
ejpam-3423	14	1	6	CARDINAL
ejpam-3423	14	2	10	DATE
ejpam-3423	14	3	11	DATE
ejpam-3423	14	4	18	DATE
ejpam-3423	14	5	19	CARDINAL
ejpam-3423	16	1	16	CARDINAL
ejpam-3423	17	1	17	CARDINAL
ejpam-3423	17	2	first	ORDINAL
ejpam-3423	17	3	linear parabolic problems	ORG
ejpam-3423	19	1	mgondal@du.edu.om	GPE
ejpam-3423	19	2	m. a. gondal	PERSON
ejpam-3423	19	3	i. rehman	PERSON
ejpam-3423	20	1	2019	CARDINAL
ejpam-3423	21	1	m. a. gondal	PERSON
ejpam-3423	21	2	i. rehman	PERSON
ejpam-3423	21	3	a. razzaque	PERSON
ejpam-3423	22	1	j. pure	PERSON
ejpam-3423	22	2	12	CARDINAL
ejpam-3423	22	3	3	CARDINAL
ejpam-3423	22	4	2019	CARDINAL
ejpam-3423	22	5	1215	CARDINAL
ejpam-3423	22	6	12	CARDINAL
ejpam-3423	23	1	15	CARDINAL
ejpam-3423	24	1	5	CARDINAL
ejpam-3423	24	2	euler	PERSON
ejpam-3423	25	1	exponential runge-kutta	ORG
ejpam-3423	26	1	runge-kutta	NORP
ejpam-3423	27	1	14	CARDINAL
ejpam-3423	29	1	la chioma & natalini	ORG
ejpam-3423	30	1	13	CARDINAL
ejpam-3423	31	1	cont &	ORG
ejpam-3423	32	1	2	CARDINAL
ejpam-3423	32	2	european	NORP
ejpam-3423	33	1	3	CARDINAL
ejpam-3423	36	1	5	CARDINAL
ejpam-3423	36	2	euler	PERSON
ejpam-3423	37	1	section 3	LAW
ejpam-3423	37	2	two	CARDINAL
ejpam-3423	37	3	1	CARDINAL
ejpam-3423	38	1	four	CARDINAL
ejpam-3423	39	1	section 2	LAW
ejpam-3423	39	2	euler	PERSON
ejpam-3423	40	1	section 3	LAW
ejpam-3423	41	1	12	CARDINAL
ejpam-3423	41	2	15	CARDINAL
ejpam-3423	43	1	section 4	LAW
ejpam-3423	45	1	2	CARDINAL
ejpam-3423	47	1	+ g(t	PERSON
ejpam-3423	47	2	0	CARDINAL
ejpam-3423	47	3	1	CARDINAL
ejpam-3423	47	4	1	CARDINAL
ejpam-3423	48	1	0	CARDINAL
ejpam-3423	49	1	u(tn +	PERSON
ejpam-3423	50	1	m. a. gondal	PERSON
ejpam-3423	50	2	i. rehman	PERSON
ejpam-3423	50	3	a. razzaque	PERSON
ejpam-3423	51	1	j. pure	PERSON
ejpam-3423	51	2	12	CARDINAL
ejpam-3423	51	3	3	CARDINAL
ejpam-3423	51	4	2019	CARDINAL
ejpam-3423	51	5	1215	CARDINAL
ejpam-3423	51	6	1230 1217	CARDINAL
ejpam-3423	52	1	≈	CARDINAL
ejpam-3423	52	2	0	CARDINAL
ejpam-3423	54	1	1	CARDINAL
ejpam-3423	55	1	2	CARDINAL
ejpam-3423	55	2	euler	PERSON
ejpam-3423	55	3	1	CARDINAL
ejpam-3423	56	1	1	CARDINAL
ejpam-3423	58	1	+ h s∑	DATE
ejpam-3423	58	2	i=1 bi(ha	PERSON
ejpam-3423	58	3	3	CARDINAL
ejpam-3423	58	4	+ h	DATE
ejpam-3423	58	5	1 ≤	QUANTITY
ejpam-3423	59	1	kutta	NORP
ejpam-3423	59	2	3	CARDINAL
ejpam-3423	59	3	second	ORDINAL
ejpam-3423	59	4	two	CARDINAL
ejpam-3423	60	1	4	CARDINAL
ejpam-3423	62	1	second	ORDINAL
ejpam-3423	62	2	two	CARDINAL
ejpam-3423	62	3	three	CARDINAL
ejpam-3423	62	4	hochbruck & ostermann	ORG
ejpam-3423	65	1	5	CARDINAL
ejpam-3423	67	1	1 z	CARDINAL
ejpam-3423	68	1	1	CARDINAL
ejpam-3423	69	1	4	CARDINAL
ejpam-3423	72	1	6	CARDINAL
ejpam-3423	73	1	un	ORG
ejpam-3423	75	1	7	CARDINAL
ejpam-3423	75	2	kutta	NORP
ejpam-3423	75	3	two	CARDINAL
ejpam-3423	75	4	1	CARDINAL
ejpam-3423	76	1	m. a. gondal	PERSON
ejpam-3423	76	2	i. rehman	PERSON
ejpam-3423	76	3	a. razzaque	PERSON
ejpam-3423	77	1	j. pure	PERSON
ejpam-3423	77	2	12	CARDINAL
ejpam-3423	77	3	3	CARDINAL
ejpam-3423	77	4	2019	CARDINAL
ejpam-3423	77	5	1215	CARDINAL
ejpam-3423	77	6	kutta	NORP
ejpam-3423	77	7	two	CARDINAL
ejpam-3423	77	8	kutta	NORP
ejpam-3423	77	9	two	CARDINAL
ejpam-3423	77	10	1	CARDINAL
ejpam-3423	78	1	5	CARDINAL
ejpam-3423	79	1	first	ORDINAL
ejpam-3423	80	1	1	CARDINAL
ejpam-3423	80	2	1	CARDINAL
ejpam-3423	80	3	2	CARDINAL
ejpam-3423	80	4	5	CARDINAL
ejpam-3423	81	1	0	CARDINAL
ejpam-3423	81	2	0 ≤	MONEY
ejpam-3423	83	1	2	CARDINAL
ejpam-3423	83	2	5	CARDINAL
ejpam-3423	83	3	18	CARDINAL
ejpam-3423	83	4	5	CARDINAL
ejpam-3423	84	1	9	CARDINAL
ejpam-3423	87	1	10	CARDINAL
ejpam-3423	87	2	10	CARDINAL
ejpam-3423	87	3	l−1u′′(t	ORG
ejpam-3423	90	1	11	CARDINAL
ejpam-3423	90	2	11	CARDINAL
ejpam-3423	92	1	+ tetlg(0	GPE
ejpam-3423	95	1	12	CARDINAL
ejpam-3423	96	1	13	CARDINAL
ejpam-3423	96	2	kutta discretizations	ORG
ejpam-3423	96	3	1	CARDINAL
ejpam-3423	97	1	kutta	NORP
ejpam-3423	97	2	two	CARDINAL
ejpam-3423	97	3	6	CARDINAL
ejpam-3423	98	1	6	CARDINAL
ejpam-3423	98	2	1	CARDINAL
ejpam-3423	100	1	14	CARDINAL
ejpam-3423	100	2	14	CARDINAL
ejpam-3423	100	3	6	CARDINAL
ejpam-3423	101	1	15	CARDINAL
ejpam-3423	101	2	tn	GPE
ejpam-3423	107	1	16	CARDINAL
ejpam-3423	107	2	m. a. gondal	PERSON
ejpam-3423	107	3	i. rehman	PERSON
ejpam-3423	107	4	a. razzaque	PERSON
ejpam-3423	108	1	j. pure	PERSON
ejpam-3423	108	2	12	CARDINAL
ejpam-3423	108	3	3	CARDINAL
ejpam-3423	108	4	2019	CARDINAL
ejpam-3423	108	5	1215	CARDINAL
ejpam-3423	108	6	1	CARDINAL
ejpam-3423	108	7	2	CARDINAL
ejpam-3423	108	8	5	CARDINAL
ejpam-3423	109	1	6	CARDINAL
ejpam-3423	110	1	g′	PERSON
ejpam-3423	110	2	g′′	PERSON
ejpam-3423	111	1	0	CARDINAL
ejpam-3423	114	1	17	CARDINAL
ejpam-3423	114	2	0 ≤ tn ≤	MONEY
ejpam-3423	116	1	14	CARDINAL
ejpam-3423	116	2	6	CARDINAL
ejpam-3423	117	1	tn e(tn+1−τ)ag(τ)dτ	FAC
ejpam-3423	119	1	18	CARDINAL
ejpam-3423	119	2	15	CARDINAL
ejpam-3423	119	3	16	CARDINAL
ejpam-3423	119	4	18	CARDINAL
ejpam-3423	122	1	− tn h	ORG
ejpam-3423	124	1	− tn h	ORG
ejpam-3423	126	1	19	CARDINAL
ejpam-3423	126	2	taylor	PERSON
ejpam-3423	128	1	20	CARDINAL
ejpam-3423	129	1	2 g′′(tn	QUANTITY
ejpam-3423	132	1	21	CARDINAL
ejpam-3423	132	2	20	CARDINAL
ejpam-3423	132	3	21	CARDINAL
ejpam-3423	132	4	19	CARDINAL
ejpam-3423	132	5	19	CARDINAL
ejpam-3423	134	1	2	CARDINAL
ejpam-3423	134	2	2	CARDINAL
ejpam-3423	135	1	2	CARDINAL
ejpam-3423	135	2	2	CARDINAL
ejpam-3423	136	1	2 +	DATE
ejpam-3423	136	2	2	CARDINAL
ejpam-3423	136	3	6 +	CARDINAL
ejpam-3423	136	4	2	CARDINAL
ejpam-3423	137	1	22	CARDINAL
ejpam-3423	137	2	one	CARDINAL
ejpam-3423	137	3	19	CARDINAL
ejpam-3423	139	1	taylor	PERSON
ejpam-3423	140	1	m. a. gondal	PERSON
ejpam-3423	140	2	i. rehman	PERSON
ejpam-3423	140	3	a. razzaque	PERSON
ejpam-3423	141	1	j. pure	PERSON
ejpam-3423	141	2	12	CARDINAL
ejpam-3423	141	3	3	CARDINAL
ejpam-3423	141	4	2019	CARDINAL
ejpam-3423	141	5	1215	CARDINAL
ejpam-3423	143	1	23	CARDINAL
ejpam-3423	145	1	24	CARDINAL
ejpam-3423	146	1	24	CARDINAL
ejpam-3423	149	1	25	CARDINAL
ejpam-3423	149	2	24	CARDINAL
ejpam-3423	149	3	25	CARDINAL
ejpam-3423	149	4	20	CARDINAL
ejpam-3423	149	5	21	CARDINAL
ejpam-3423	149	6	19	CARDINAL
ejpam-3423	149	7	22	CARDINAL
ejpam-3423	150	1	first	ORDINAL
ejpam-3423	150	2	second	ORDINAL
ejpam-3423	151	1	14	CARDINAL
ejpam-3423	151	2	6	CARDINAL
ejpam-3423	151	3	εn+1(u	ORG
ejpam-3423	156	1	26	CARDINAL
ejpam-3423	157	1	tn e(tn+1−τ)ab	ORG
ejpam-3423	158	1	− tn h u(tn	ORG
ejpam-3423	159	1	− tn h	ORG
ejpam-3423	159	2	− tn h u(tn	ORG
ejpam-3423	163	1	tn e(tn+1−τ)ab	ORG
ejpam-3423	169	1	27	CARDINAL
ejpam-3423	169	2	27	CARDINAL
ejpam-3423	169	3	26	CARDINAL
ejpam-3423	169	4	εn+1(u	ORG
ejpam-3423	170	1	hϕ1(ha)b(u(tn)− un)− hϕ2(ha)b(u(tn)−	DATE
ejpam-3423	170	2	un	ORG
ejpam-3423	172	1	+rn+1	GPE
ejpam-3423	172	2	‖εn+1(u)‖	GPE
ejpam-3423	172	3	ch‖εn‖+	PERSON
ejpam-3423	172	4	28	CARDINAL
ejpam-3423	172	5	m. a. gondal	PERSON
ejpam-3423	172	6	i. rehman	PERSON
ejpam-3423	172	7	a. razzaque	PERSON
ejpam-3423	173	1	j. pure	PERSON
ejpam-3423	173	2	12	CARDINAL
ejpam-3423	173	3	3	CARDINAL
ejpam-3423	173	4	2019	CARDINAL
ejpam-3423	173	5	1215-1230 1221	DATE
ejpam-3423	173	6	tn e(tn+1−τ)ab	ORG
ejpam-3423	175	1	− tn h	ORG
ejpam-3423	175	2	− tn h u(tn	ORG
ejpam-3423	177	1	29	CARDINAL
ejpam-3423	180	1	30	CARDINAL
ejpam-3423	180	2	6	CARDINAL
ejpam-3423	180	3	7	CARDINAL
ejpam-3423	180	4	− un	PERSON
ejpam-3423	180	5	ch2	PRODUCT
ejpam-3423	180	6	31	CARDINAL
ejpam-3423	183	1	− un	PERSON
ejpam-3423	183	2	un‖+	ORG
ejpam-3423	183	3	32	CARDINAL
ejpam-3423	183	4	6	CARDINAL
ejpam-3423	183	5	un	ORG
ejpam-3423	187	1	+o(h	PERSON
ejpam-3423	188	1	un	ORG
ejpam-3423	194	1	33	CARDINAL
ejpam-3423	194	2	0	CARDINAL
ejpam-3423	195	1	33	CARDINAL
ejpam-3423	195	2	32	CARDINAL
ejpam-3423	195	3	32	CARDINAL
ejpam-3423	195	4	31	CARDINAL
ejpam-3423	195	5	ch2	ORG
ejpam-3423	195	6	1	CARDINAL
ejpam-3423	195	7	1−	ORDINAL
ejpam-3423	196	1	ch‖εn‖+ ch2	PERSON
ejpam-3423	196	2	1	CARDINAL
ejpam-3423	196	3	34	CARDINAL
ejpam-3423	196	4	un2‖	CARDINAL
ejpam-3423	198	1	35	CARDINAL
ejpam-3423	198	2	35	CARDINAL
ejpam-3423	198	3	30	CARDINAL
ejpam-3423	198	4	30	CARDINAL
ejpam-3423	198	5	28	CARDINAL
ejpam-3423	198	6	1 ‖εn+1(u)‖	QUANTITY
ejpam-3423	198	7	ch‖εn‖+	PERSON
ejpam-3423	198	8	ch2‖εn‖+ ch3 tn	PERSON
ejpam-3423	198	9	m. a. gondal	PERSON
ejpam-3423	198	10	i. rehman	PERSON
ejpam-3423	198	11	a. razzaque	PERSON
ejpam-3423	199	1	j. pure	PERSON
ejpam-3423	199	2	12	CARDINAL
ejpam-3423	199	3	3	CARDINAL
ejpam-3423	199	4	2019	CARDINAL
ejpam-3423	199	5	1215	CARDINAL
ejpam-3423	199	6	36	CARDINAL
ejpam-3423	199	7	30	CARDINAL
ejpam-3423	199	8	31	CARDINAL
ejpam-3423	200	1	ch2	PRODUCT
ejpam-3423	201	1	37	CARDINAL
ejpam-3423	201	2	‖u02 −	PERSON
ejpam-3423	201	3	38	CARDINAL
ejpam-3423	201	4	38	CARDINAL
ejpam-3423	201	5	37	CARDINAL
ejpam-3423	201	6	37	CARDINAL
ejpam-3423	201	7	28	CARDINAL
ejpam-3423	201	8	‖ε1(u)‖ ≤	ORG
ejpam-3423	201	9	ch2 + ch3 + ‖r1‖.	ORG
ejpam-3423	201	10	39	CARDINAL
ejpam-3423	202	1	u(τ	PERSON
ejpam-3423	202	2	24	CARDINAL
ejpam-3423	202	3	u(τ	PERSON
ejpam-3423	204	1	40	CARDINAL
ejpam-3423	206	1	41	CARDINAL
ejpam-3423	206	2	u(τ	GPE
ejpam-3423	206	3	40	CARDINAL
ejpam-3423	206	4	41	CARDINAL
ejpam-3423	206	5	29	CARDINAL
ejpam-3423	206	6	tn e(tn+1−τ)ab	ORG
ejpam-3423	207	1	− tn	ORG
ejpam-3423	208	1	tn+1− s)u′′(s)ds	GPE
ejpam-3423	208	2	42	CARDINAL
ejpam-3423	209	1	43	CARDINAL
ejpam-3423	209	2	tn e(tn+1−τ)ab	ORG
ejpam-3423	210	1	44	CARDINAL
ejpam-3423	210	2	tn	ORG
ejpam-3423	211	1	− tn h	ORG
ejpam-3423	211	2	45	CARDINAL
ejpam-3423	211	3	44	CARDINAL
ejpam-3423	212	1	tn e(tn+1−τ)ab	ORG
ejpam-3423	213	1	46	CARDINAL
ejpam-3423	213	2	ab = ba	PERSON
ejpam-3423	213	3	tn e(tn+1−τ)ab	ORG
ejpam-3423	214	1	47	CARDINAL
ejpam-3423	214	2	m. a. gondal	PERSON
ejpam-3423	214	3	i. rehman	PERSON
ejpam-3423	214	4	a. razzaque	PERSON
ejpam-3423	215	1	j. pure	PERSON
ejpam-3423	215	2	12	CARDINAL
ejpam-3423	215	3	3	CARDINAL
ejpam-3423	215	4	2019	CARDINAL
ejpam-3423	215	5	1215-1230 1223	DATE
ejpam-3423	215	6	+ εn+1(g	PERSON
ejpam-3423	217	1	48	CARDINAL
ejpam-3423	217	2	6	CARDINAL
ejpam-3423	217	3	14	CARDINAL
ejpam-3423	217	4	22	CARDINAL
ejpam-3423	217	5	36	CARDINAL
ejpam-3423	217	6	48	CARDINAL
ejpam-3423	218	1	ch‖εn‖+	PERSON
ejpam-3423	218	2	49	DATE
ejpam-3423	218	3	ch‖εn‖+	ORG
ejpam-3423	218	4	ch2‖εn‖+	PERSON
ejpam-3423	218	5	ch3 tn + ch3 + ‖rn+1‖	ORG
ejpam-3423	219	1	ch2	PERSON
ejpam-3423	220	1	1	CARDINAL
ejpam-3423	220	2	j=0	GPE
ejpam-3423	220	3	‖e(n−j−1)harj+1‖.	GPE
ejpam-3423	220	4	50	CARDINAL
ejpam-3423	220	5	2	CARDINAL
ejpam-3423	220	6	5	CARDINAL
ejpam-3423	220	7	= jh	PERSON
ejpam-3423	220	8	ch2	PERSON
ejpam-3423	220	9	ch2	PERSON
ejpam-3423	220	10	‖e(n−j−1)harj+1‖.	GPE
ejpam-3423	220	11	51	CARDINAL
ejpam-3423	220	12	0	CARDINAL
ejpam-3423	223	1	j=0	GPE
ejpam-3423	223	2	‖e(n−j−1)harj+1‖.	GPE
ejpam-3423	223	3	52	CARDINAL
ejpam-3423	223	4	m. a. gondal	PERSON
ejpam-3423	223	5	i. rehman	PERSON
ejpam-3423	223	6	a. razzaque	PERSON
ejpam-3423	224	1	j. pure	PERSON
ejpam-3423	224	2	12	CARDINAL
ejpam-3423	224	3	3	CARDINAL
ejpam-3423	224	4	2019	CARDINAL
ejpam-3423	224	5	1215	CARDINAL
ejpam-3423	224	6	j=0	GPE
ejpam-3423	225	1	j=0 ‖e(n−j−1)harj+1,2‖+ n−1∑ j=0	ORG
ejpam-3423	225	2	53	CARDINAL
ejpam-3423	225	3	47	CARDINAL
ejpam-3423	225	4	54	CARDINAL
ejpam-3423	225	5	tj e(tj+1−τ)ab	CARDINAL
ejpam-3423	225	6	2	CARDINAL
ejpam-3423	225	7	5	CARDINAL
ejpam-3423	225	8	1	CARDINAL
ejpam-3423	226	1	j = n−	WORK_OF_ART
ejpam-3423	226	2	1	CARDINAL
ejpam-3423	226	3	1	CARDINAL
ejpam-3423	227	1	1	CARDINAL
ejpam-3423	227	2	j=[n/2]+1 1 tn−j−1tj + ‖e(n−1)har1,2‖ +	PERSON
ejpam-3423	228	1	1	CARDINAL
ejpam-3423	228	2	1	CARDINAL
ejpam-3423	229	1	1+ | log	QUANTITY
ejpam-3423	230	1	55	CARDINAL
ejpam-3423	231	1	1	CARDINAL
ejpam-3423	231	2	first	ORDINAL
ejpam-3423	231	3	u(τ	PERSON
ejpam-3423	232	1	56	CARDINAL
ejpam-3423	233	1	tn u′(s)ds	ORG
ejpam-3423	233	2	57	CARDINAL
ejpam-3423	233	3	29	CARDINAL
ejpam-3423	233	4	tn e(tn+1−τ)ab	ORG
ejpam-3423	234	1	− tn	ORG
ejpam-3423	235	1	tn u′(s)ds	ORG
ejpam-3423	236	1	58	DATE
ejpam-3423	236	2	m. a. gondal	PERSON
ejpam-3423	236	3	i. rehman	PERSON
ejpam-3423	236	4	a. razzaque	PERSON
ejpam-3423	237	1	j. pure	PERSON
ejpam-3423	237	2	12	CARDINAL
ejpam-3423	237	3	3	CARDINAL
ejpam-3423	237	4	2019	CARDINAL
ejpam-3423	237	5	1215	CARDINAL
ejpam-3423	238	1	59	CARDINAL
ejpam-3423	238	2	tn e(tn+1−τ)ab	ORG
ejpam-3423	239	1	60	CARDINAL
ejpam-3423	240	1	tn	ORG
ejpam-3423	241	1	− tn h	ORG
ejpam-3423	241	2	tn u′(s)ds	ORG
ejpam-3423	241	3	61	CARDINAL
ejpam-3423	241	4	0	CARDINAL
ejpam-3423	241	5	60	CARDINAL
ejpam-3423	243	1	0	CARDINAL
ejpam-3423	244	1	ch2 tn−1	PERSON
ejpam-3423	245	1	62	CARDINAL
ejpam-3423	245	2	1	CARDINAL
ejpam-3423	245	3	60	CARDINAL
ejpam-3423	245	4	j = n−	WORK_OF_ART
ejpam-3423	245	5	1	CARDINAL
ejpam-3423	245	6	∫ tn tn−1	PERSON
ejpam-3423	245	7	τ tn−1	PERSON
ejpam-3423	245	8	ch2 tn−1	PERSON
ejpam-3423	246	1	63	CARDINAL
ejpam-3423	246	2	62	CARDINAL
ejpam-3423	246	3	63	CARDINAL
ejpam-3423	246	4	55	CARDINAL
ejpam-3423	246	5	1+ | log	QUANTITY
ejpam-3423	248	1	64	CARDINAL
ejpam-3423	248	2	j=0	GPE
ejpam-3423	249	1	1+ | log	QUANTITY
ejpam-3423	251	1	65	CARDINAL
ejpam-3423	251	2	64	CARDINAL
ejpam-3423	251	3	65	CARDINAL
ejpam-3423	251	4	53	CARDINAL
ejpam-3423	251	5	53	CARDINAL
ejpam-3423	251	6	52	CARDINAL
ejpam-3423	251	7	ch2 tn	PERSON
ejpam-3423	251	8	1+ | log	QUANTITY
ejpam-3423	253	1	66	CARDINAL
ejpam-3423	253	2	m. a. gondal	PERSON
ejpam-3423	253	3	i. rehman	PERSON
ejpam-3423	253	4	a. razzaque	PERSON
ejpam-3423	254	1	j. pure	PERSON
ejpam-3423	254	2	12	CARDINAL
ejpam-3423	254	3	3	CARDINAL
ejpam-3423	254	4	2019	CARDINAL
ejpam-3423	254	5	1215	CARDINAL
ejpam-3423	254	6	1230 1226	CARDINAL
ejpam-3423	254	7	ch2 tn−1	PERSON
ejpam-3423	254	8	ch2 tn	PERSON
ejpam-3423	255	1	tn−1	ORG
ejpam-3423	255	2	ch2	PERSON
ejpam-3423	256	1	6.2(gronwall	CARDINAL
ejpam-3423	256	2	15	CARDINAL
ejpam-3423	259	1	67	CARDINAL
ejpam-3423	259	2	4	CARDINAL
ejpam-3423	260	1	linear parabolic problem	ORG
ejpam-3423	261	1	gopaul, & bhuruth	ORG
ejpam-3423	261	2	3	CARDINAL
ejpam-3423	261	3	1 2	CARDINAL
ejpam-3423	262	1	1 2	CARDINAL
ejpam-3423	264	1	68	CARDINAL
ejpam-3423	264	2	b(z	ORG
ejpam-3423	264	3	2πγ	ORDINAL
ejpam-3423	264	4	2/(2γ2	CARDINAL
ejpam-3423	265	1	69	CARDINAL
ejpam-3423	265	2	γ	GPE
ejpam-3423	265	3	68	CARDINAL
ejpam-3423	265	4	european	NORP
ejpam-3423	266	1	european	NORP
ejpam-3423	266	2	u(x	ORG
ejpam-3423	266	3	0	DATE
ejpam-3423	266	4	70	CARDINAL
ejpam-3423	266	5	3	CARDINAL
ejpam-3423	268	1	71	CARDINAL
ejpam-3423	268	2	72	CARDINAL
ejpam-3423	268	3	4.1	CARDINAL
ejpam-3423	269	1	68	CARDINAL
ejpam-3423	274	1	xm	ORG
ejpam-3423	274	2	1.5	CARDINAL
ejpam-3423	275	1	first	ORDINAL
ejpam-3423	275	2	second	ORDINAL
ejpam-3423	275	3	68	CARDINAL
ejpam-3423	275	4	73	CARDINAL
ejpam-3423	275	5	m. a. gondal	PERSON
ejpam-3423	275	6	i. rehman	PERSON
ejpam-3423	275	7	a. razzaque	PERSON
ejpam-3423	276	1	j. pure	PERSON
ejpam-3423	276	2	12	CARDINAL
ejpam-3423	276	3	3	CARDINAL
ejpam-3423	276	4	2019	CARDINAL
ejpam-3423	276	5	1215	CARDINAL
ejpam-3423	276	6	2u(xi+1	CARDINAL
ejpam-3423	277	1	2u(xi	CARDINAL
ejpam-3423	278	1	+ 2u(xi−1	DATE
ejpam-3423	278	2	74	CARDINAL
ejpam-3423	278	3	68	CARDINAL
ejpam-3423	278	4	three	CARDINAL
ejpam-3423	279	1	1	CARDINAL
ejpam-3423	283	1	75	CARDINAL
ejpam-3423	284	1	= xmin	PERSON
ejpam-3423	286	1	≈	CARDINAL
ejpam-3423	286	2	≈	CARDINAL
ejpam-3423	287	1	1 2	CARDINAL
ejpam-3423	287	2	− y1)u(y1	PERSON
ejpam-3423	287	3	δxm−1b(xi −	PERSON
ejpam-3423	289	1	u(ym	ORG
ejpam-3423	290	1	j=2	ORG
ejpam-3423	290	2	− yj)u(yj	PERSON
ejpam-3423	291	1	76	CARDINAL
ejpam-3423	291	2	european	NORP
ejpam-3423	291	3	1	CARDINAL
ejpam-3423	291	4	u(x	ORG
ejpam-3423	291	5	0	CARDINAL
ejpam-3423	291	6	x→ −∞.	PERSON
ejpam-3423	291	7	g(t	NORP
ejpam-3423	293	1	2 φ	CARDINAL
ejpam-3423	295	1	77	CARDINAL
ejpam-3423	295	2	φ(y	ORG
ejpam-3423	296	1	2π	CARDINAL
ejpam-3423	297	1	68	CARDINAL
ejpam-3423	297	2	+ g(t	PERSON
ejpam-3423	298	1	m. a. gondal	PERSON
ejpam-3423	298	2	i. rehman	PERSON
ejpam-3423	298	3	a. razzaque	PERSON
ejpam-3423	299	1	j. pure	PERSON
ejpam-3423	299	2	12	CARDINAL
ejpam-3423	299	3	3	CARDINAL
ejpam-3423	299	4	2019	CARDINAL
ejpam-3423	299	5	1215-1230	DATE
ejpam-3423	299	6	10	CARDINAL
ejpam-3423	299	7	o	DATE
ejpam-3423	299	8	euler	PERSON
ejpam-3423	299	9	order1	ORG
ejpam-3423	299	10	order2	PERSON
ejpam-3423	299	11	1	CARDINAL
ejpam-3423	299	12	euler	PERSON
ejpam-3423	299	13	kutta	NORP
ejpam-3423	299	14	two	CARDINAL
ejpam-3423	299	15	68	CARDINAL
ejpam-3423	299	16	200	CARDINAL
ejpam-3423	300	1	one	CARDINAL
ejpam-3423	300	2	two	CARDINAL
ejpam-3423	301	1	1	CARDINAL
ejpam-3423	301	2	1/128	CARDINAL
ejpam-3423	302	1	0.05	CARDINAL
ejpam-3423	302	2	100	CARDINAL
ejpam-3423	302	3	0.2	CARDINAL
ejpam-3423	302	4	2	CARDINAL
ejpam-3423	302	5	1	CARDINAL
ejpam-3423	302	6	euler	PERSON
ejpam-3423	302	7	kutta	ORG
ejpam-3423	302	8	50	CARDINAL
ejpam-3423	302	9	200	CARDINAL
ejpam-3423	302	10	2.0141	ORG
ejpam-3423	302	11	1 2	CARDINAL
ejpam-3423	303	1	1 2	CARDINAL
ejpam-3423	304	1	1	CARDINAL
ejpam-3423	304	2	first	ORDINAL
ejpam-3423	304	3	euler	PERSON
ejpam-3423	304	4	second	ORDINAL
ejpam-3423	304	5	runge-kutta	PERSON
ejpam-3423	304	6	200	CARDINAL
ejpam-3423	305	1	euler	PERSON
ejpam-3423	305	2	first	ORDINAL
ejpam-3423	305	3	second	ORDINAL
ejpam-3423	305	4	1	CARDINAL
ejpam-3423	307	1	one	CARDINAL
ejpam-3423	307	2	two	CARDINAL
ejpam-3423	308	1	1	CARDINAL
ejpam-3423	308	2	1/128	CARDINAL
ejpam-3423	308	3	68	CARDINAL
ejpam-3423	308	4	euler	PERSON
ejpam-3423	308	5	two	CARDINAL
ejpam-3423	309	1	5	CARDINAL
ejpam-3423	309	2	3	CARDINAL
ejpam-3423	311	1	second	ORDINAL
ejpam-3423	311	2	two	CARDINAL
ejpam-3423	311	3	1	CARDINAL
ejpam-3423	313	1	runge-kutta	PERSON
ejpam-3423	315	1	1229	CARDINAL
ejpam-3423	315	2	1	CARDINAL
ejpam-3423	317	1	53:1–18, 2005	DATE
ejpam-3423	318	1	2	CARDINAL
ejpam-3423	318	2	r. cont	PERSON
ejpam-3423	318	3	e. voltchkova	PERSON
ejpam-3423	319	1	lévy	PRODUCT
ejpam-3423	320	1	513(september	CARDINAL
ejpam-3423	321	1	2003	DATE
ejpam-3423	322	1	3	CARDINAL
ejpam-3423	322	2	a. gopaul d.y. tangman	PERSON
ejpam-3423	322	3	m. bhuruth	PERSON
ejpam-3423	325	1	1319, 2008	DATE
ejpam-3423	326	1	4	CARDINAL
ejpam-3423	326	2	gondal	ORG
ejpam-3423	328	1	j. comput	PERSON
ejpam-3423	329	1	234:1153–1160, 2010	DATE
ejpam-3423	330	1	5	CARDINAL
ejpam-3423	330	2	gondal	ORG
ejpam-3423	331	1	euler	PERSON
ejpam-3423	332	1	applied sciences journal	ORG
ejpam-3423	332	2	14:1816–1822, 2011	DATE
ejpam-3423	333	1	6	CARDINAL
ejpam-3423	333	2	gondal	ORG
ejpam-3423	334	1	runge-kutta	NORP
ejpam-3423	335	1	applied sciences journal	ORG
ejpam-3423	335	2	13:2396–2404, 2011	DATE
ejpam-3423	336	1	7	CARDINAL
ejpam-3423	337	1	semilinear parabolic equations	ORG
ejpam-3423	338	1	berlin	GPE
ejpam-3423	338	2	heidelberg	GPE
ejpam-3423	338	3	1981	DATE
ejpam-3423	339	1	8	CARDINAL
ejpam-3423	339	2	m. hochbruck	PERSON
ejpam-3423	339	3	a. ostermann	PERSON
ejpam-3423	340	1	kutta methods for semilinear	ORG
ejpam-3423	341	1	j. numer	PERSON
ejpam-3423	342	1	43:1069–1090, 2005	DATE
ejpam-3423	343	1	9	CARDINAL
ejpam-3423	343	2	m. hochbruck	PERSON
ejpam-3423	343	3	a. ostermann	PERSON
ejpam-3423	343	4	runge	PERSON
ejpam-3423	343	5	kutta	NORP
ejpam-3423	346	1	53:323–339, 2005	DATE
ejpam-3423	347	1	10	CARDINAL
ejpam-3423	347	2	m. hochbruck	PERSON
ejpam-3423	347	3	a. ostermann	PERSON
ejpam-3423	349	1	acta numerica	PERSON
ejpam-3423	349	2	286	CARDINAL
ejpam-3423	349	3	2010	DATE
ejpam-3423	350	1	11	CARDINAL
ejpam-3423	352	1	2013	DATE
ejpam-3423	353	1	12	CARDINAL
ejpam-3423	353	2	lubich	PERSON
ejpam-3423	353	3	a. ostermann	PERSON
ejpam-3423	353	4	kutta	NORP
ejpam-3423	355	1	22:279–292, 1996	DATE
ejpam-3423	356	1	13	CARDINAL
ejpam-3423	356	2	m. briani	PERSON
ejpam-3423	356	3	r. natalini	PERSON
ejpam-3423	358	1	numerische mathematik	PERSON
ejpam-3423	358	2	98:607–646	CARDINAL
ejpam-3423	359	1	14	CARDINAL
ejpam-3423	361	1	j. finance	ORG
ejpam-3423	363	1	5:125–144, 1976	DATE
ejpam-3423	364	1	1230	CARDINAL
ejpam-3423	364	2	15	CARDINAL
ejpam-3423	364	3	a. ostermann	PERSON
ejpam-3423	364	4	m. thalhammer	PERSON
ejpam-3423	365	1	kutta	NORP
ejpam-3423	366	1	j. numer	PERSON
ejpam-3423	367	1	20:167–184, 2000	DATE
ejpam-3423	368	1	16	CARDINAL
ejpam-3423	368	2	a. pazy	PERSON
ejpam-3423	369	1	linear operators	ORG
ejpam-3423	370	1	new york	GPE
ejpam-3423	370	2	1983	DATE
ejpam-3423	371	1	17	CARDINAL
ejpam-3423	374	1	comput	PERSON
ejpam-3423	374	2	33:919–931, 1979	DATE
ejpam-3423	375	1	18	CARDINAL
ejpam-3423	375	2	j.a.	GPE
ejpam-3423	375	3	pudykiewicz	NORP
ejpam-3423	375	4	v.t. luan	PERSON
ejpam-3423	375	5	d.r. reynolds	GPE
ejpam-3423	377	1	2019	DATE
ejpam-3423	378	1	19	CARDINAL
ejpam-3423	378	2	b. wang	PERSON
ejpam-3423	378	3	x. wu	PERSON
ejpam-3423	379	1	360:99–116	CARDINAL
ejpam-3423	379	2	2019	DATE