Stability of two-dimensional initial-boundary value problems using leap-frog type schemes
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- by Saul Abarbanel and David Gottlieb PDF
- Math. Comp. 33 (1979), 1145-1155 Request permission
Abstract:
The paper discusses stable boundary conditions for the two-dimensional Leap-Frog scheme and the Modified Leap-Frog scheme introduced by the authors in a former work.References
- Saul Abarbanel and David Gottlieb, A note on the leap-frog scheme in two and three dimensions, J. Comput. Phys. 21 (1976), no. 3, 351–355. MR 416051, DOI 10.1016/0021-9991(76)90033-4
- Bertil Gustafsson, Heinz-Otto Kreiss, and Arne Sundström, Stability theory of difference approximations for mixed initial boundary value problems. II, Math. Comp. 26 (1972), 649–686. MR 341888, DOI 10.1090/S0025-5718-1972-0341888-3 H. O. KREISS & J. OLIGER, Methods for the Approximate Solution of Time Dependent Problems, GARP Publications Series, No. 10, 1973.
- K. W. Morton, Initial-value problems by finite difference and other methods, The state of the art in numerical analysis (Proc. Conf., Univ. York, Heslington, 1976) Academic Press, London, 1977, pp. 699–756. MR 0451754
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 1145-1155
- MSC: Primary 65M05; Secondary 65M10
- DOI: https://doi.org/10.1090/S0025-5718-1979-0537962-5
- MathSciNet review: 537962