an:01850459
Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
EN
IMA J. Numer. Anal. 22, No. 4, 623-664 (2002).
00087377
2002
j
65M06 65M12 35K65 35R05
degenerate convection-diffusion equation; discontinuous coefficient; weak solution; finite difference scheme; convergence; entropy condition
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.
Xavier Antoine (Toulouse Cedex)