On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

DOI10.1137/19M1289157zbMath1447.65083arXiv2003.00421OpenAlexW3048822804MaRDI QIDQ5115713

No author found.

Publication date: 18 August 2020

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

Full work available at URL: https://arxiv.org/abs/2003.00421

zbMATH Keywords

convergence analysisdiscrete maximum principleAllen-Cahn equationenergy stabilitynonuniform BDF2 scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Semilinear parabolic equations (35K58)

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