Modified implicit--explicit BDF methods for nonlinear parabolic equations

DOI10.1023/B:BITN.0000007057.13132.b3zbMath1045.65080OpenAlexW2019056147MaRDI QIDQ1431656

Fotini Karakatsani, Georgios D. Akrivis

Publication date: 11 June 2004

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:bitn.0000007057.13132.b3

zbMATH Keywords

stabilitynonlinear parabolic equationssemidiscretizationbackward differentiation formulaeimplicit-explicit multistep schemes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Nonlinear differential equations in abstract spaces (34G20) 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)

Related Items (9)

Unconditional Stability for Multistep ImEx Schemes: Theory ⋮ Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations ⋮ Implicit–explicit multistep methods for nonlinear parabolic equations ⋮ A study of the numerical stability of an ImEx scheme with application to the Poisson-Nernst-Planck equations ⋮ A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations ⋮ Stability properties of implicit–explicit multistep methods for a class of nonlinear parabolic equations ⋮ An analogue to the A$(\vartheta)$-stability concept for implicit-explicit BDF methods ⋮ Stability of implicit-explicit linear multistep methods for ordinary and delay differential equations ⋮ Unconditional stability for multistep ImEx schemes: practice

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