Numerical Solution of Systems of Singularly Perturbed Differential Equations

DOI10.2478/cmam-2009-0010zbMath1193.65189OpenAlexW2079779150MaRDI QIDQ3407842

Martin Stynes, Torsten Linss

Publication date: 24 February 2010

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2009-0010

zbMATH Keywords

stabilitysingular perturbationerror estimatesuniform convergencefinite elementboundary layersurvey paperfinite differencelayer adapted meshessystems of reaction-diffusion equationsBakhvalov and Shishkin meshessystems of convection-diffusion equationssystems of time-independent second order equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Second-order elliptic systems (35J47)

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