New Difference Schemes for Partial Differential Equations

Pavel E. Sobolevskii

ISBN 10: 3764370548 / ISBN 13: 9783764370541

Edité par Birkhäuser Basel, Springer Basel Jun 2004, 2004

A propos de cet article

Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 460 pp. Englisch. N° de réf. du vendeur 9783764370541

Détails bibliographiques

Titre : New Difference Schemes for Partial ...

Éditeur : Birkhäuser Basel, Springer Basel Jun 2004

Date d'édition : 2004

Reliure : Buch

Etat : Neu

A propos de ce titre

Synopsis :

The present monograph is devoted to the construction and investigation of new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for partial differential equations. This approach permits extending essentially a class of problems where the theory of difference methods is applicable. Namely, it is now possible to investigate 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 for professional mathematicians as well as for advanced students in the fields of numerical analysis, functional analysis, and differential equations.