| 書目名稱 | Implementing Spectral Methods for Partial Differential Equations |
| 副標題 | Algorithms for Scien |
| 編輯 | David A. Kopriva |
| 視頻video | http://file.papertrans.cn/463/462650/462650.mp4 |
| 概述 | First book to cover multidomain spectral methods for the numerical solution of time-dependent 1D and 2D partial differential equations.Presented without too much abstract mathematics and minutae.Conta |
| 叢書名稱 | Scientific Computation |
| 圖書封面 |  |
| 描述 | .This book offers a systematic and self-contained approach to solve?partial differential equations numerically using single and multidomain spectral?methods. It contains detailed algorithms in pseudocode for the application?of spectral approximations to both one and two dimensional PDEs?of mathematical physics describing potentials,?transport, and wave propagation. David Kopriva, a well-known researcher?in the field with extensive practical experience, shows how only a few?fundamental algorithms form the building blocks of any spectral code, even?for problems with complex geometries. The book addresses computational?and applications scientists, as it emphasizes the?practical derivation and implementation of spectral methods over abstract mathematics. It is divided into two parts: First comes a primer on spectral?approximation and the basic algorithms, including FFT algorithms, Gauss?quadrature algorithms, and how to approximate derivatives. The second?part shows how to use those algorithms to solve steady and time dependent PDEs in one and two space dimensions. Exercises and questions at the?end of each chapter encourage the reader to experiment with the?algorithms.. |
| 出版日期 | Book 2009 |
| 關鍵詞 | Approximation of Derivatives; FFT Algorithm; Implementation of Spectral Methods; Multidomain Spectral M |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-90-481-2261-5 |
| isbn_softcover | 978-90-481-8484-2 |
| isbn_ebook | 978-90-481-2261-5Series ISSN 1434-8322 Series E-ISSN 2198-2589 |
| issn_series | 1434-8322 |
| copyright | Springer Science+Business Media B.V. 2009 |