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Difference methods for singular perturbation problems

Author: G I Shishkin; Lidia P Shishkina
Publisher: Boca Raton : CRC Press, ©2009.
Series: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 140.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Focuses on the development of robust difference schemes for wide classes of boundary value problems. This book explores boundary value problems for elliptic and parabolic reaction-diffusion and  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Shishkin, G.I.
Difference methods for singular perturbation problems.
Boca Raton : CRC Press, ©2009
(DLC) 2008025636
(OCoLC)232327369
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: G I Shishkin; Lidia P Shishkina
ISBN: 9780203492413 0203492412 1584884592 9781584884590
OCLC Number: 441956185
Notes: "A Chapman & Hall book."
Description: 1 online resource (xv, 393 pages).
Contents: Preface Part I: Grid Approximations of Singular Perturbation Partial Differential Equations Introduction Boundary Value Problems for Elliptic Reaction-Diffusion Equations in Domains with Smooth Boundaries Boundary Value Problems for Elliptic Reaction-Diffusion Equations in Domains with Piecewise-Smooth Boundaries Generalizations for Elliptic Reaction-Diffusion Equations Parabolic Reaction-Diffusion Equations Elliptic Convection-Diffusion Equations Parabolic Convection-Diffusion Equations Part II: Advanced Trends in Uniformly Convergent Difference Methods Grid Approximations of Parabolic Reaction-Diffusion Equations with Three Perturbation Parameters Application of Widths for Construction of Difference Schemes for Problems with Moving Boundary Layers High-Order Accurate Numerical Methods for Singularly Perturbed Problems A Finite Difference Scheme on a priori Adapted Grids for a Singularly Perturbed Parabolic Convection-Diffusion Equation On Conditioning of Difference Schemes and Their Matrices for Singularly Perturbed Problems Approximation of Systems of Singularly Perturbed Elliptic Reaction-Diffusion Equations with Two Parameters Survey References
Series Title: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 140.
Responsibility: Grigory I. Shishkin, Lidia P. Shishkina.

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