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New Difference Schemes for Partial Differential Equations /

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 differenc...

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Bibliographic Details
Main Author: Ashyralyev, Allaberen
Corporate Author: SpringerLink (Online service)
Other Authors: Sobolevskii, Pavel E.
Format: eBook
Language:English
Published: Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2004.
Series:Operator theory, advances and applications ; 148.
Subjects:
Mathematics.
Algebra.
Functional analysis.
Operator theory.
Differential equations, Partial.
Numerical analysis.
Équations aux différences.
Équations aux dérivées partielles.
Partiële differentiaalvergelijkingen.
Partielle Differentialgleichung.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (IX, 443 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages [423]-443).
ISBN:9783034879224 (electronic bk.)
3034879229 (electronic bk.)