| Description |
1 online resource (xvi, 470 pages) |
| Series |
Springer series in computational mathematics ; 41 |
|
Springer series in computational mathematics ; 41.
|
| Contents |
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.¡¡ |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 455-465) and index |
| Subject |
Spectral theory (Mathematics)
|
|
Spectral theory (Mathematics)
|
| Form |
Electronic book
|
| Author |
Tang, T. (Tao), 1963-
|
|
Wang, Li-Lian
|
| ISBN |
9783540710417 |
|
3540710418 |
|
9783540710400 |
|
354071040X |
|
