TY  - BOOK
AU  - Surana, Karan S.
TI  - Finite element method for initial value problems: mathematics and computations 
SN  - 9781138576377
U1  - 515.35 SUR-K 
PY  - 2018///
CY  - India
PB  - CRC Press
KW  - Finite element method
KW  - Initial value problems
N1  - 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
ER  -