Difference schemes stabilized by discrete mollification for degenerate parabolic equations in two space dimensions

DOI10.1093/IMANUM/DRR049zbMath1258.65074OpenAlexW2099579215MaRDI QIDQ4649635

Raimund Bürger, Carlos D. Acosta

Publication date: 12 November 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/134026

zbMATH Keywords

stabilityconvergenceregularizationstabilizationconvection-diffusion equationentropy solutiondiffusion equationill-posed problemsstrongly degenerate parabolic equationdiscrete mollification method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (5)

A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations ⋮ A fast method for solving time-dependent nonlinear convection diffusion problems ⋮ Unnamed Item ⋮ Fast and optimal WENO schemes for degenerate parabolic conservation laws ⋮ A two dimensional discrete mollification operator and the numerical solution of an inverse source problem

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