A-Stable Time Discretizations Preserve Maximal Parabolic Regularity

DOI10.1137/15M1040918zbMath1355.65122arXiv1511.07823OpenAlexW2964032975MaRDI QIDQ2954107

Balázs Kovács, Buyang Li, Christian Lubich

Publication date: 12 January 2017

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

Full work available at URL: https://arxiv.org/abs/1511.07823

zbMATH Keywords

stabilityA-stabilitynonlinear parabolic equationsimplicit Euler methodsemidiscretizationRunge-Kutta methodsmultistep methodsbackward difference formulamaximal regularityCrank-Nicolson method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Uses Software

• RODAS

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