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Convergence of finite volume schemes for semilinear convection diffusion equations. (English) Zbl 0930.65118
Finite volume schemes for semilinear elliptic problems in two space dimensions are presented. Estimates for the approximate solution and convergence of the schemes are proven.

MSC:
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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