Additive Operator-Difference Schemes : Splitting Schemes

Additive Operator-Difference Schemes : Splitting Schemes

Description

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.


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Details

Author(s)
Petr N. Vabishchevich
Format
Hardback | 370 pages
Dimensions
170 x 240 x 25.4mm | 745g
Publication date
30 Nov 2013
Publisher
De Gruyter
Publication City/Country
Berlin, Germany
Language
English
Illustrations note
1 Tables, black and white; 15 Illustrations, black and white
ISBN10
3110321432
ISBN13
9783110321432