Spectral Methods: Algorithms, Analysis and Applications (Springer Series in Computational Mathematics)
Spectral Methods: Algorithms, Analysis and Applications (Springer Series in Computational Mathematics)
English | Mathematics | August 25, 2011 | ISBN-10: 354071040X | 472 Pages | epub | 4.98 mb
English | Mathematics | August 25, 2011 | ISBN-10: 354071040X | 472 Pages | epub | 4.98 mb
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.