Spectral Elements for Transport-Dominated Equations /
The book deals with the numerical approximation of various PDEs using the spectral element method, with particular emphasis for elliptic equations dominated by first-order terms. It provides a simple introduction to spectral elements with additional new tools (upwind grids and preconditioners). Appl...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1997.
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| Series: | Lecture notes in computational science and engineering ;
1. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | The book deals with the numerical approximation of various PDEs using the spectral element method, with particular emphasis for elliptic equations dominated by first-order terms. It provides a simple introduction to spectral elements with additional new tools (upwind grids and preconditioners). Applications to fluid dynamics and semiconductor devices are considered, as well as in other models were transport-diffusion equations arise. The aim is to provide the reader with both introductive and more advanced material on spectral Legendre collocation methods. The book however does not cover all the aspects of spectral methods. Engineers, physicists and applied mathematicians may study how to implement the collocation method and use the results to improve their computational codes. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 211 pages 97 illustrations) |
| ISBN: | 9783642591853 (electronic bk.) 364259185X (electronic bk.) |
| ISSN: | 1439-7358 ; |