| 书目名称 | Implementing Spectral Methods for Partial Differential Equations |
| 副标题 | Algorithms for Scien |
| 编辑 | David A. Kopriva |
| 视频video | |
| 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 |
| 丛书名称 | Scientific Computation |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 16:47:42
