Spectral Methods
Algorithms, Analysis and Applications| By: | Jie Shen; Tao Tang; Li-Lian Wang |
| Publisher: | Springer Nature |
| Print ISBN: | 9783540710400 |
| eText ISBN: | 9783540710417 |
| Edition: | 0 |
| Copyright: | 2011 |
| Format: | Page Fidelity |
eBook Features
Instant Access
Purchase and read your book immediately
Read Offline
Access your eTextbook anytime and anywhere
Study Tools
Built-in study tools like highlights and more
Read Aloud
Listen and follow along as Bookshelf reads to you
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.