Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications)

A. Ashyralyev/ P.E. Sobolevskii

ISBN 10: 3764350245 / ISBN 13: 9783764350246

Published by Birkhäuser Basel, 1994

About this Item

1st edition. 349 pages. German language. 9.61x6.69x0.81 inches. In Stock.

Seller Inventory # x-3764350245

Bibliographic Details

• Title: Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications)
• Publisher: Birkhäuser Basel
• Publication Date: 1994
• Language: English
• ISBN 10: 3764350245
• ISBN 13: 9783764350246
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.79 kilograms

About this title

Synopsis

A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes. Modern computers allow the implementation of highly accurate ones; hence, their construction and investigation for various boundary value problems in mathematical physics is generating much current interest. The present monograph is devoted to the construction of highly accurate difference schemes for parabolic boundary value problems, based on Padé approximations. The investigation is based on a new notion of positivity of difference operators in Banach spaces, which allows one to deal with difference schemes of arbitrary order of accuracy. Establishing coercivity inequalities allows one to obtain sharp, that is, two-sided estimates of convergence rates. The proofs are based on results in interpolation theory of linear operators. This monograph will be of value to professional mathematicians as well as advanced students interested in the fields of functional analysis and partial differential equations.

Language Notes

Text: English (translation)
Original Language: Russian