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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year

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Volume 9, Issue 2 (Jan 2009)


Numerical Solution of Systems of Singularly Perturbed Differential Equations

T. Linss
  • Institut fur Numerische Mathematik, Technische Universitat, Dresden, Germany.
  • Email:
M. Stynes
  • Department of Mathematics, National University of Ireland, Cork, Ireland.
  • Email:


A survey is given of current research into the numerical solution of timeindependent systems of second-order differential equations whose diffusion coefficients are small parameters. Such problems are in general singularly perturbed. The equations in these systems may be coupled through their reaction and/or convection terms. Only numerical methods whose accuracy is guaranteed for all values of the diffusion parameters are considered here. Some new unifying results are also presented.

Keywords: systems of differential equations; singular perturbation; uniform convergence; layer-adapted meshes

About the article

Received: 2009-02-17

Revised: 2009-04-26

Accepted: 2009-05-30

Published in Print:

Citation Information: Computational Methods in Applied Mathematics Comput. Methods Appl. Math., ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.2478/cmam-2009-0010.

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© Institute of Mathematics, NAS of Belarus. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. BY-NC-ND 4.0

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