A grid approximation for the Riemann problem in the case of the Burgers equation

zbMath0972.65053MaRDI QIDQ1571226

G. I. Shishkin

Publication date: 11 November 2001

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemBurgers equationquasilinear parabolic equationRiemann problemdiscontinuous datamesh generationrarefaction wavesingularly perturbation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with low regular coefficients and/or low regular data (35R05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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