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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: 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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DOI: https://doi.org/10.1090/S0025-5718-1991-1052100-6
Article copyright: © Copyright 1991 American Mathematical Society