Additive Operator-Difference Schemes: Splitting Schemes - Hardcover

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.

"synopsis" may belong to another edition of this title.

About the Author

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

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783110321470: Additive Operator-Difference Schemes: Splitting Schemes

Featured Edition

ISBN 10:  3110321475 ISBN 13:  9783110321470
Publisher: Walter de Gruyter & Co, 2013
Softcover