Overview
- Highly accurate difference schemes for parabolic boundary value problems, based on Pade approximations
Part of the book series: Operator Theory: Advances and Applications (OT, volume 148)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: New Difference Schemes for Partial Differential Equations
Authors: Allaberen Ashyralyev, Pavel E. Sobolevskii
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-0348-7922-4
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 2004
Hardcover ISBN: 978-3-7643-7054-1Published: 25 June 2004
Softcover ISBN: 978-3-0348-9622-1Published: 14 October 2012
eBook ISBN: 978-3-0348-7922-4Published: 06 December 2012
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: IX, 446
Topics: Analysis, Operator Theory, Algebra, Functional Analysis, Partial Differential Equations, Numerical Analysis