A note on the stability of an iterative finite-difference method for hyperbolic systems
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- by Moshe Goldberg PDF
- Math. Comp. 27 (1973), 41-44 Request permission
Abstract:
In this note, we find analytically the linear stability criteria for two finite-difference methods for hyperbolic systems in conservation-law form, presented recently by S. Abarbanel and G. Zwas and by S. Abarbanel and M. Goldberg.References
- S. Abarbanel and G. Zwas, An iterative finite-difference method for hyperbolic systems, Math. Comp. 23 (1969), 549–565. MR 247783, DOI 10.1090/S0025-5718-1969-0247783-2
- S. Abarbanel and M. Goldberg, Numerical solution of quasi-conservative hyperbolic systems—the cylindrical shock problem, J. Comput. Phys. 10 (1972), 1–21. MR 331974, DOI 10.1016/0021-9991(72)90087-3
- Peter Lax and Burton Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 13 (1960), 217–237. MR 120774, DOI 10.1002/cpa.3160130205
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 41-44
- MSC: Primary 65M10
- DOI: https://doi.org/10.1090/S0025-5718-1973-0341887-2
- MathSciNet review: 0341887