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Mathematics of Computation

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Convergence of upwind schemes for a stationary shock

Author: Jens Lorenz
Journal: Math. Comp. 46 (1986), 45-57
MSC: Primary 65M10; Secondary 76-08, 76L05
MathSciNet review: 815830
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Abstract: A nonlinear first-order boundary value problem with discontinuous solutions is considered. It arises in the study of gasflow through a duct and allows, in general, for multiple solutions. New convergence results for three difference schemes are presented and the sharpness of numerical layers is established. For the EO-scheme, stability of a physically correct solution with respect to time evolution is shown.

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Article copyright: © Copyright 1986 American Mathematical Society