Implicit-explicit Runge–Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations

DOI10.1051/m2an/2011047zbMath1281.65123OpenAlexW2055781277MaRDI QIDQ2842461

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011047

zbMATH Keywords

stability convergence error bounds semidiscretization advection-diffusion equations numerical experiment smooth solution implicit-explicit Runge-Kutta schemes stabilized finite elements unsteady convection-diffusion

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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