An iterative finite-difference method for hyperbolic systems
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- by S. Abarbanel and G. Zwas PDF
- Math. Comp. 23 (1969), 549-565 Request permission
Abstract:
An iterative finite-difference scheme for initial value problems is presented. It is applied to the quasi-linear hyperbolic system representing the one-dimensional time dependent flow of a compressible polytropic gas. The emphasis in this research was on the handling of discontinuities, such as shock waves, and overcoming the post-shock oscillations resulting from nonlinear instabilities. The linear stability is investigated as well. The success of the method is indicated by the monotonic profiles which were obtained for almost all the cases tested.References
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Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 549-565
- MSC: Primary 65.67
- DOI: https://doi.org/10.1090/S0025-5718-1969-0247783-2
- MathSciNet review: 0247783