Decomposition Methods for Differential Equations: Theory and by Juergen Geiser

By Juergen Geiser

Decomposition equipment for Differential Equations: conception and Applications describes the research of numerical tools for evolution equations in accordance with temporal and spatial decomposition equipment. It covers real-life difficulties, the underlying decomposition and discretization, the steadiness and consistency research of the decomposition tools, and numerical results.

The e-book specializes in the modeling of chosen multi-physics difficulties, ahead of introducing decomposition research. It offers time and house discretization, temporal decomposition, and the combo of time and spatial decomposition equipment for parabolic and hyperbolic equations. the writer then applies those easy methods to numerical difficulties, together with try out examples and real-world difficulties in actual and engineering purposes. For the computational effects, he makes use of quite a few software program instruments, corresponding to MATLAB®, R3T, WIAS-HiTNIHS, and OPERA-SPLITT.

Exploring iterative operator-splitting equipment, this e-book indicates how one can use higher-order discretization how to clear up differential equations. It discusses decomposition tools and their effectiveness, mix danger with discretization tools, multi-scaling probabilities, and balance to preliminary and boundary values problems.

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