Well-Posedness of Parabolic Difference Equations

Descripción

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 353 pp. Englisch.

N° de ref. del artículo 9783034896610

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Detalles bibliográficos

Título

Well-Posedness of Parabolic Difference Equations

Editor

Springer, Basel, Birkhäuser Basel, Birkhäuser Okt 2012

Fecha de publicación

2012

Idioma

Inglés

ISBN 10

3034896611

ISBN 13

9783034896610

Encuadernación

Taschenbuch

Estado

Neu

Dimensiones

244 mm an. × 170 al. × 20 l. 244 milímetros de ancho por 170 de alto por 20 de largo

Peso

634 gramos

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