The Capriciousness of Numerical Methods for Singular Perturbations

DOI10.1137/090757344zbMath1233.65054OpenAlexW2083639051MaRDI QIDQ3084493

Publication date: 25 March 2011

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090757344

zbMATH Keywords

stability convergence finite elements numerical examples singular perturbations finite differences layer-adapted meshes discontinuous Galerkin

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Second-order hyperbolic equations (35L10) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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