This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems. Series: Operator Theory: Advances and Applications. Num Pages: 455 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 25. Weight in Grams: 980. . 2004. Hardback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: New Difference Schemes for Partial Differential Equations
Publisher: Birkhauser Verlag AG
Publication Date: 2004
Language: English
ISBN 10: 3764370548
ISBN 13: 9783764370541
Binding: Hardcover
Condition: New

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Synopsis

The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points. This approach permitted essentially to extend to a class of problems where the theory of difference methods is applicable. Namely, now it is possible to investigate the differential equations with variable coefficients and regular and singular perturbation boundary value problems. The investigation is based on new coercivity inequalities.

The book will be of value to professional mathematicians, as well as advanced students in the fields of numerical analysis, functional analysis, and ordinary and partial differential equations.

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