书目名称 | Spectral Methods |
副标题 | Algorithms, Analysis |
编辑 | Jie Shen,Tao Tang,Li-Lian Wang |
视频video | |
概述 | The analysis in this book is presented in a unified framework using the non-uniformly weighted Sobolev spaces which lead to simplified analysis and more precise estimates..The book contains, in partic |
丛书名称 | Springer Series in Computational Mathematics |
图书封面 |  |
描述 | .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. . |
出版日期 | Book 2011 |
关键词 | numerical analysis; orthogonal polynomials/functions; scientific computing; spectral methods; partial di |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-71041-7 |
isbn_softcover | 978-3-642-27097-0 |
isbn_ebook | 978-3-540-71041-7Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
issn_series | 0179-3632 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |