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.
| Autorius: | Jie Shen, Li-Lian Wang, Tao Tang, |
| Serija: | Springer Series in Computational Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2011 |
| Knygos puslapių skaičius: | 488 |
| ISBN-10: | 354071040X |
| ISBN-13: | 9783540710400 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Differential calculus and equations |
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