Decomposition Methods for Differential Equations

Juergen Geiser

ISBN 10: 1439810966 ISBN 13: 9781439810965

Published by CRC Press, 2009

Language: English

Condition: New Hardcover

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Bibliographic Details

Title

Decomposition Methods for Differential Equations

Publisher

CRC Press

Publication Date

2009

Language

English

ISBN 10

1439810966

ISBN 13

9781439810965

Binding

HRD

Condition

New

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About this title

Synopsis

Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and consistency analysis of the decomposition methods, and numerical results.

The book focuses on the modeling of selected multi-physics problems, before introducing decomposition analysis. It presents time and space discretization, temporal decomposition, and the combination of time and spatial decomposition methods for parabolic and hyperbolic equations. The author then applies these methods to numerical problems, including test examples and real-world problems in physical and engineering applications. For the computational results, he uses various software tools, such as MATLAB�, R3T, WIAS-HiTNIHS, and OPERA-SPLITT.

Exploring iterative operator-splitting methods, this book shows how to use higher-order discretization methods to solve differential equations. It discusses decomposition methods and their effectiveness, combination possibility with discretization methods, multi-scaling possibilities, and stability to initial and boundary values problems.

About the Author

J�rgen Geiser is a professor in the Department of Mathematics at Humboldt University of Berlin.

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