Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm

DOI10.1137/080731645zbMath1198.65161OpenAlexW2042328424MaRDI QIDQ3584610

J. Thomas Beale

Publication date: 30 August 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080731645

zbMATH Keywords

diffusion equationerror boundssemidiscretizationfinite difference methodsCrank-Nicolson schemeparabolic equationsjump conditionsmoving interfacesregularity estimatesmaximum norm estimatesL-stable methods

Mathematics Subject Classification ID

Heat equation (35K05) 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) PDEs with low regular coefficients and/or low regular data (35R05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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