Error bounds for Glimm difference approximations for scalar conservation laws

Authors:
David Hoff and Joel Smoller

Journal:
Trans. Amer. Math. Soc. **289** (1985), 611-642

MSC:
Primary 65M15; Secondary 35L65, 76L05

MathSciNet review:
784006

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Abstract: We derive error bounds for the Glimm difference approximation to the solution of a genuinely nonlinear scalar conservation law with BV initial data. We show that the error is bounded by in the general case, and by for a generic class of piecewise constant data.

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1985-0784006-5

Article copyright:
© Copyright 1985
American Mathematical Society