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Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. (English) Zbl 1014.65073
The authors analyse approximate solutions generated by an upwind difference scheme of Engquist-Osher type for nonlinear degenerate parabolic convection-diffusion equations where the nonlinear convective flux function has a discontinuous coefficient and the diffusion function is allowed to be strongly degenerate.

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K65 Degenerate parabolic equations
35R05 PDEs with low regular coefficients and/or low regular data
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