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The Finite Element Method for Initial Value Problems

The Finite Element Method for Initial Value Problems Mathematics and Computations

Hardback (09 Nov 2017)

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Publisher's Synopsis

Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.

Book information

ISBN: 9781138576377
Publisher: CRC Press
Imprint: CRC Press
Pub date:
DEWEY: 515.35
DEWEY edition: 23
Language: English
Number of pages: 630
Weight: 1306g
Height: 186mm
Width: 261mm
Spine width: 41mm