-
1
-
-
0004245694
-
-
National Bureau of Standards, Washington, D.C., MR 29:4914
-
M. Abramowitz and I. A. Stegun (eds),Handbook of Mathematical Functions, National Bureau of Standards, Washington, D.C., 1964. MR 29:4914
-
(1964)
Handbook of Mathematical Functions
-
-
Abramowitz, M.1
Stegun, I.A.2
-
2
-
-
85069028110
-
Suboptimal Kronrod extension formulas for numerical quadrature
-
MR 92a:65075
-
A. Begumisa and I. Robinson, Suboptimal Kronrod extension formulas for numerical quadrature, Numer. Math., 58:808-818, 1991. MR 92a:65075
-
(1991)
Numer. Math.
, vol.58
, pp. 808-818
-
-
Begumisa, A.1
Robinson, I.2
-
3
-
-
0000624238
-
A method for numerical integration on an automatic computer
-
MR 22:8659
-
C.W. Clenshaw and A.R. Curtis, A method for numerical integration on an automatic computer, Numer. Math., 2:197-205, 1960. MR 22:8659
-
(1960)
Numer. Math.
, vol.2
, pp. 197-205
-
-
Clenshaw, C.W.1
Curtis, A.R.2
-
4
-
-
0038891667
-
On a two-sided approximation for the numerical integration of ordinary differential equations
-
V. I. Devyatko, On a two-sided approximation for the numerical integration of ordinary differential equations, USSR Comput. Math. Math. Phys., 3:336-350, 1963. Russian original in Ž. Vyčisl. Mat. i Mat. Fiz. 3:254-265, 1963. MR 28:5555
-
(1963)
USSR Comput. Math. Math. Phys.
, vol.3
, pp. 336-350
-
-
Devyatko, V.I.1
-
5
-
-
0038891667
-
-
Russian original MR 28:5555
-
V. I. Devyatko, On a two-sided approximation for the numerical integration of ordinary differential equations, USSR Comput. Math. Math. Phys., 3:336-350, 1963. Russian original in Ž. Vyčisl. Mat. i Mat. Fiz. 3:254-265, 1963. MR 28:5555
-
(1963)
Ž. Vyčisl. Mat. i Mat. Fiz.
, vol.3
, pp. 254-265
-
-
-
6
-
-
0040669664
-
-
Technical report, Department of Informatics, University of Bergen
-
Terje Espelid, Integration rules, null rules and error estimation, Technical report, Department of Informatics, University of Bergen, 1988.
-
(1988)
Integration Rules, Null Rules and Error Estimation
-
-
Espelid, T.1
-
7
-
-
0001505159
-
On generating orthogonal polynomials
-
MR 84e:65022
-
Walter Gautschi, On generating orthogonal polynomials, SIAM J. Scient. Statist. Comput., 3:289-317, 1982. MR 84e:65022
-
(1982)
SIAM J. Scient. Statist. Comput.
, vol.3
, pp. 289-317
-
-
Gautschi, W.1
-
8
-
-
0001817440
-
Gauss-Kronrod quadrature - A survey
-
G. V. Milovanović, editor, University of Niš, MR 89k:41035
-
Walter Gautschi, Gauss-Kronrod quadrature - a survey, In G. V. Milovanović, editor, Numerical Methods and Approximation Theory III, pages 39-66. University of Niš, 1988. MR 89k:41035
-
(1988)
Numerical Methods and Approximation Theory III
, pp. 39-66
-
-
Gautschi, W.1
-
9
-
-
0028388229
-
Algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
-
Walter Gautschi, Algorithm 726: ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules, ACM Trans. Math. Software, 20:21-62, 1994.
-
(1994)
ACM Trans. Math. Software
, vol.20
, pp. 21-62
-
-
Gautschi, W.1
-
10
-
-
0000223746
-
Calculation of gauss quadrature rules
-
MR 39:6513
-
G.H. Golub and J.H. Welsch, Calculation of Gauss quadrature rules, Math. Comput., 23:221-230, 1969. MR 39:6513
-
(1969)
Math. Comput.
, vol.23
, pp. 221-230
-
-
Golub, G.H.1
Welsch, J.H.2
-
11
-
-
0008752889
-
Nonexistence of extended Gauss-Laguerre and Gauss-Hermite quadrature rules with positive weights
-
MR 80d:65034
-
D. K. Kahaner and G. Monegato, Nonexistence of extended Gauss-Laguerre and Gauss-Hermite quadrature rules with positive weights, Z. Angew. Math. Phys., 29:983-986, 1978. MR 80d:65034
-
(1978)
Z. Angew. Math. Phys.
, vol.29
, pp. 983-986
-
-
Kahaner, D.K.1
Monegato, G.2
-
13
-
-
0005149275
-
Sharper error estimates in adaptive quadrature
-
MR 84e:65027
-
D. P. Laurie, Sharper error estimates in adaptive quadrature, BIT, 23:258-261, 1983. MR 84e:65027
-
(1983)
BIT
, vol.23
, pp. 258-261
-
-
Laurie, D.P.1
-
14
-
-
0005181450
-
Practical error estimation in numerical integration
-
CMP 17:14
-
D. P. Laurie, Practical error estimation in numerical integration, J. Computat. Appl. Math, 12&13:258-261, 1985. CMP 17:14
-
(1985)
J. Computat. Appl. Math
, vol.12-13
, pp. 258-261
-
-
Laurie, D.P.1
-
15
-
-
0008759632
-
Stratified sequences of nested quadrature formulas
-
MR 93i:65039
-
D. P. Laurie, Stratified sequences of nested quadrature formulas, Quaest. Math., 15:365-384, 1992. MR 93i:65039
-
(1992)
Quaest. Math.
, vol.15
, pp. 365-384
-
-
Laurie, D.P.1
-
17
-
-
0024680370
-
An algorithm for generating interpolatory quadrature rules of the highest precision with preassigned nodes for general weight functions
-
MR 91g:65004
-
T. N. L. Patterson, An algorithm for generating interpolatory quadrature rules of the highest precision with preassigned nodes for general weight functions, ACM Trans. Math. Software, 15:123-136, 1989. MR 91g:65004
-
(1989)
ACM Trans. Math. Software
, vol.15
, pp. 123-136
-
-
Patterson, T.N.L.1
-
18
-
-
21144483029
-
Modified optimal quadrature extensions
-
T. N. L. Patterson, Modified optimal quadrature extensions, Numer. Math., 60:511-520, 1993.
-
(1993)
Numer. Math.
, vol.60
, pp. 511-520
-
-
Patterson, T.N.L.1
-
19
-
-
0003790433
-
-
Springer, Berlin, MR 85b:65022
-
R. Piessens, E. de Doncker-Kapenga, C.W. Überhuber, and D.K. Kahaner, QUADPACK: A Subroutine Package for Automatic Integration, Springer, Berlin, 1983. MR 85b:65022
-
(1983)
QUADPACK: A Subroutine Package for Automatic Integration
-
-
Piessens, R.1
De Doncker-Kapenga, E.2
Überhuber, C.W.3
Kahaner, D.K.4
-
20
-
-
0040076097
-
Some properties of the solutions of systems of ordinary differential equations by one-step methods of numerical integration
-
Yu. V. Rakitskii, Some properties of the solutions of systems of ordinary differential equations by one-step methods of numerical integration, USSR Comput. Math. Math. Phys., 1:1113-1128, 1962. Russian original in Ž. Vyčisl. Mat. i Mat. Fiz. 1:947-962, 1961. MR 25:5592
-
(1962)
USSR Comput. Math. Math. Phys.
, vol.1
, pp. 1113-1128
-
-
Rakitskii, Yu.V.1
-
21
-
-
0040076097
-
-
Russian original MR 25:5592
-
Yu. V. Rakitskii, Some properties of the solutions of systems of ordinary differential equations by one-step methods of numerical integration, USSR Comput. Math. Math. Phys., 1:1113-1128, 1962. Russian original in Ž. Vyčisl. Mat. i Mat. Fiz. 1:947-962, 1961. MR 25:5592
-
(1961)
Ž. Vyčisl. Mat. i Mat. Fiz.
, vol.1
, pp. 947-962
-
-
-
22
-
-
0038891668
-
Polar difference methods of solving Cauchy's problem for a system of ordinary differential equations
-
N. P. Salikhov, Polar difference methods of solving Cauchy's problem for a system of ordinary differential equations, USSR Comput. Math. Math. Phys., 2:535-553, 1963. Russian original in Ž. Vyčisl. Mat. i Mat. Fiz. 2:515-528, 1962. MR 26:5737
-
(1963)
USSR Comput. Math. Math. Phys.
, vol.2
, pp. 535-553
-
-
Salikhov, N.P.1
-
23
-
-
0038891668
-
-
Russian original MR 26:5737
-
N. P. Salikhov, Polar difference methods of solving Cauchy's problem for a system of ordinary differential equations, USSR Comput. Math. Math. Phys., 2:535-553, 1963. Russian original in Ž. Vyčisl. Mat. i Mat. Fiz. 2:515-528, 1962. MR 26:5737
-
(1962)
Ž. Vyčisl. Mat. i Mat. Fiz.
, vol.2
, pp. 515-528
-
-
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