Variable Step Size Multistep Methods for Parabolic Problems

DOI10.1137/0719051zbMath0483.65033OpenAlexW2058080316MaRDI QIDQ3942317

Marie-Noëlle Le Roux

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1137/0719051

zbMATH Keywords

error estimatesevolution equationA-stabilityNordsieck's methodvariable step size multistep methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (11)

Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection ⋮ Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator ⋮ Sharp error estimate of an implicit BDF2 scheme with variable time steps for the phase field crystal model ⋮ An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows ⋮ On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation ⋮ An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model ⋮ Stability of linear multistep methods for sectorial operators in Banach spaces ⋮ Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations ⋮ A second order backward difference method with variable steps for a parabolic problem ⋮ Stability and error of the variable two-step BDF for semilinear parabolic problems ⋮ Analysis of adaptive BDF2 scheme for diffusion equations

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