Additive Operator-Difference Schemes: Splitting Schemes - Couverture rigide

Vabishchevich, Petr N.

 
9783110321432: Additive Operator-Difference Schemes: Splitting Schemes

Synopsis

Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting schemes) to solve approximately unsteady multi-dimensional problems for PDEs. Two classes of schemes are highlighted: methods of splitting with respect to spatial variables (alternating direction methods) and schemes of splitting into physical processes. Also regionally additive schemes (domain decomposition methods) and unconditionally stable additive schemes of multi-component splitting are considered for evolutionary equations of first and second order as well as for systems of equations. The book is written for specialists in computational mathematics and mathematical modeling. All topics are presented in a clear and accessible manner.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Petr N. Vabishchevich, Russian Academy of Sciences, Moscow, Russia.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783110321470: Additive Operator-Difference Schemes: Splitting Schemes

Edition présentée

ISBN 10 :  3110321475 ISBN 13 :  9783110321470
Editeur : Walter de Gruyter & Co, 2013
Couverture souple