TY  - BOOK
AU  - Shen,Jie
AU  - Tang,Tao
AU  - Wang,Li-Lian
ED  - SpringerLink (Online service)
TI  - Spectral Methods: Algorithms, Analysis and Applications 
T2  - Springer Series in Computational Mathematics,
SN  - 9783540710417
AV  - QA71-90 
U1  - 518 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Computer science
KW  - Differential equations, partial
KW  - Computational Mathematics and Numerical Analysis
KW  - Partial Differential Equations
KW  - Mathematics of Computing
N1  - Introduction -- Fourier Spectral Methods for Periodic Problems -- Orthogonol Polynomials and Related Approximation Results -- Second-Order Two-Point Boundary Value Problems -- Integral Equations -- High-Order Differential Equations -- Problems in Unbounded Domains -- Multi-Dimensional Domains -- Mathematical Preliminaries -- Basic iterative methods -- Basic time discretization schemes -- Instructions for routines in Matlab.  
N2  - Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of  basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-540-71041-7
ER  -