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Difference Methods for Singular Perturbation Problems

Difference Methods for Singular Perturbation Problems

Paperback

Series: Monographs and Surveys in Pure and Applied Mathematics

General MathematicsPhysics

ISBN10: 0367386828
ISBN13: 9780367386825
Publisher: CRC Press
Published: Sep 5 2019
Pages: 408
Weight: 1.20
Height: 0.90 Width: 6.10 Depth: 9.10
Language: English
This book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for wide classes of singularly perturbed boundary value problems. The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. Containing material published mainly in the last four years, the second section focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter.

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General Mathematics