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Peer-Reviewed Article December 5, 2012

Robust Numerical Methods for Singularly Perturbed Differential Equations: A Survey Covering 2008–2012

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Published in: ISRN Applied Mathematics
Publisher: Hindawi Publishing Corporation • Egypt • 2090-5564
DOI: https://doi.org/10.5402/2012/379547

Abstract

We present new results in the numerical analysis of singularly perturbed convection-diffusion-reaction problems that have appeared in the last five years. Mainly discussing layer-adapted meshes, we present also a survey on stabilization methods, adaptive methods, and on systems of singularly perturbed equations.

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