Decomposition Methods for Differential Equations: Theory and Applications - Chapman & Hall / CRC Numerical Analysis and Scientific Computing Series - Juergen Geiser - Books - Taylor & Francis Ltd - 9781138114142 - June 14, 2017
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Decomposition Methods for Differential Equations: Theory and Applications - Chapman & Hall / CRC Numerical Analysis and Scientific Computing Series 1st edition

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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.


304 pages, 1 Tables, black and white; 43 Illustrations, black and white

Media Books     Paperback Book   (Book with soft cover and glued back)
Released June 14, 2017
ISBN13 9781138114142
Publishers Taylor & Francis Ltd
Pages 304
Dimensions 150 × 220 × 10 mm   ·   590 g
Language English  

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