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Mathematics of Computation

Volumn 66, Issue 217, 1997, Pages 215-235

A sinc-collocation method for initial value problems

(3) Carlson, Timothy S a Dockery, Jack b Lund, John b

a SANTA FE INSTITUTE (United States)

b MONTANA STATE UNIVERSITY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041630482 PISSN: 00255718 EISSN: None Source Type: Journal
DOI: 10.1090/s0025-5718-97-00789-8 Document Type: Article

Times cited : (32)

References (11)

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- MR 92f:65086
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- (1991) IMA J. Numer. Anal. , vol.11 , pp. 357-375
- Bialecki, B.¹

2
- 0042265837
- Ph.D. thesis, Montana State University
- T. S. Carlson, Sinc methods for Burgers' equation, Ph.D. thesis, Montana State University, 1995.
- (1995) Sinc Methods for Burgers' Equation
- Carlson, T.S.¹

3
- 0001540868
- Sinc function computation of the eigenvalues of Sturm-Liouville problems
- MR 89c:65090
- N. Eggert, M. Jarratt, and J. Lund, Sinc function computation of the eigenvalues of Sturm-Liouville problems, J. Comput. Phys. 69 (1987), no. 1, 209-229 MR 89c:65090
- (1987) J. Comput. Phys. , vol.69 , Issue.1 , pp. 209-229
- Eggert, N.¹ Jarratt, M.² Lund, J.³

4
- 84964927565
- Chelsea Publishing Co., New York, MR 88b:42031
- U. Grenander and G. Szegö. Toeplitz forms and their applications, 2nd ed., Chelsea Publishing Co., New York, 1984. MR 88b:42031
- (1984) Toeplitz Forms and Their Applications, 2nd Ed.
- Grenander, U.¹ Szegö, G.²

5
- 0003891827
- SIAM, Philadelphia, MR 93i:65004
- J. Lund and K. L. Bowers, Sinc methods for quadrature and differential equations, SIAM, Philadelphia, 1992. MR 93i:65004
- (1992) Sinc Methods for Quadrature and Differential Equations
- Lund, J.¹ Bowers, K.L.²

6
- 0042265835
- A sinc-collocation method for the computation of the eigenvalues of the radial Schrödinger equation
- MR 86f:65134
- J. Lund and B. V. Riley, A sinc-collocation method for the computation of the eigenvalues of the radial Schrödinger equation, IMA J. Numer. Anal. 4 (1984), 83-98. MR 86f:65134
- (1984) IMA J. Numer. Anal. , vol.4 , pp. 83-98
- Lund, J.¹ Riley, B.V.²

7
- 0042767073
- Cardinal type approximations of a function and its derivatives
- MR 81c:41043
- L. Lundin and F. Stenger, Cardinal type approximations of a function and its derivatives, SIAM J. Math. Anal. 10 (1979), 139-160. MR 81c:41043
- (1979) SIAM J. Math. Anal. , vol.10 , pp. 139-160
- Lundin, L.¹ Stenger, F.²

8
- 0041765201
- A collocative variation of the Sinc-Galerkin method for second order boundary value problems
- (K. Bowers and J. Lund, eds.), Birkhäuser, Boston, CMP 90:10
- K. M. McArthur, A collocative variation of the Sinc-Galerkin method for second order boundary value problems, Computation and Control (K. Bowers and J. Lund, eds.), Birkhäuser, Boston, 1989, pp. 253-261. CMP 90:10
- (1989) Computation and Control , pp. 253-261
- McArthur, K.M.¹

9
- 0002559346
- Convergence of the sinc method for a fourth-order ordinary differential equation with an application
- MR 96f:65097
- A. C. Morlet, Convergence of the sinc method for a fourth-order ordinary differential equation with an application, SIAM J. Numer. Anal. 32 (1995), 1475-1503. MR 96f:65097
- (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1475-1503
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10
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- F. Stenger, Numerical methods based on sinc and analytic functions, Springer-Verlag, New York, 1993. MR 94k:65003
- (1993) Numerical Methods Based on sinc and Analytic Functions
- Stenger, F.¹

11
- 0007366030
- Sinc convolution approximate solution of Burgers' equation
- (K. Bowers and J. Lund, eds.), Birkhäuser, Boston, CMP 94:04
- F. Stenger, B. Barkey, and R. Vakili, Sinc convolution approximate solution of Burgers' equation, Computation and Control III (K. Bowers and J. Lund, eds.), Birkhäuser, Boston, 1993, pp. 341-354. CMP 94:04
- (1993) Computation and Control , vol.3 , pp. 341-354
- Stenger, F.¹ Barkey, B.² Vakili, R.³

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