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The Finite Element Method for Initial Value Problems - Mathematics and Computations (Hardcover)
Loot Price: R6,155
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The Finite Element Method for Initial Value Problems - Mathematics and Computations (Hardcover)
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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.
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