Linearly implicit methods for nonlinear evolution equations

DOI10.1007/s00211-002-0432-yzbMath1029.65109OpenAlexW2032552955MaRDI QIDQ1402167

Fotini Karakatsani, Ohannes A. Karakashian, Georgios D. Akrivis

Publication date: 19 August 2003

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-002-0432-y

zbMATH Keywords

nonlinear parabolic equationsextrapolationoptimal order error estimatesnonlinear evolution equationsmultistep methodsRunge-Kutta schemesimplicit methods

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) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Explicit multistep mixed finite element method for RLW equation ⋮ Additive Polynomial Time Integrators, Part I: Framework and Fully Implicit-Explicit Collocation Methods ⋮ Explicit multistep method for the numerical solution of RLW equation ⋮ A study of the numerical stability of an ImEx scheme with application to the Poisson-Nernst-Planck equations ⋮ Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations ⋮ Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods

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