By Juergen Geiser
Decomposition tools for Differential Equations: idea and Applications describes the research of numerical equipment for evolution equations in response to temporal and spatial decomposition tools. It covers real-life difficulties, the underlying decomposition and discretization, the soundness and consistency research of the decomposition equipment, and numerical results.
The ebook makes a speciality of the modeling of chosen multi-physics difficulties, earlier than introducing decomposition research. It offers time and area discretization, temporal decomposition, and the mix of time and spatial decomposition tools for parabolic and hyperbolic equations. the writer then applies those how you can numerical difficulties, together with try examples and real-world difficulties in actual and engineering purposes. For the computational effects, he makes use of a number of software program instruments, similar to MATLAB®, R3T, WIAS-HiTNIHS, and OPERA-SPLITT.
Exploring iterative operator-splitting equipment, this booklet indicates tips to use higher-order discretization how to clear up differential equations. It discusses decomposition tools and their effectiveness, mixture hazard with discretization tools, multi-scaling percentages, and balance to preliminary and boundary values problems.
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Extra resources for Decomposition Methods for Differential Equations: Theory and Applications (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
Decomposition Methods for Differential Equations: Theory and Applications (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series) by Juergen Geiser