Difference Methods for Singular Perturbation Problems

Grigory I. Shishkin (u. a.)

ISBN 10: 1584884592 / ISBN 13: 9781584884590

Published by Taylor & Francis Inc, 2008

About this Item

Difference Methods for Singular Perturbation Problems | Grigory I. Shishkin (u. a.) | Buch | Monographs and Surveys in Pure and Applied Mathematics | Einband - fest (Hardcover) | Englisch | 2008 | Taylor & Francis Inc | EAN 9781584884590 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu.

Seller Inventory # 135489921

Bibliographic Details

• Title: Difference Methods for Singular Perturbation Problems
• Publisher: Taylor & Francis Inc
• Publication Date: 2008
• Language: English
• ISBN 10: 1584884592
• ISBN 13: 9781584884590
• Binding: Buch
• Condition: Neu
• Dimensions: 243W x 164H x 27D millimeters 243 millimeters width by 164 millimeters height by 27 millimeters depth
• Weight: 701 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.

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. The authors develop a technique for constructing and justifying ε uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data.

Containing information 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. This part also studies both the solution and its derivatives with errors that are independent of the perturbation parameters.

Co-authored by the creator of the Shishkin mesh, this book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for broad classes of singularly perturbed boundary value problems.

About the Author

Shishkin, Grigory I.; Shishkina, Lidia P.