Some grid refinement schemes for hyperbolic equations with piecewise constant coefficients

Authors:
T. Lin, J. Sochacki, R. Ewing and J. George

Journal:
Math. Comp. **56** (1991), 61-86

MSC:
Primary 65M50; Secondary 35L45, 35R05

DOI:
https://doi.org/10.1090/S0025-5718-1991-1052100-6

MathSciNet review:
1052100

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Abstract | References | Similar Articles | Additional Information

Abstract: Discontinuities in the coefficients of hyperbolic equations occur both naturally and artificially and must be treated in numerical schemes. Schemes for handling these discontinuities are derived. An interesting stability result is derived and the schemes are shown to be exact under certain restrictions.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1991-1052100-6

Article copyright:
© Copyright 1991
American Mathematical Society