Implementing spectral methods for partial differential equations : algorithms for physicists, mathematicians and engineers
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 mathematic...
שמור ב:
| מחבר ראשי: | |
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| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| מהדורה: | 1st ed. 2009. |
| סדרה: | Scientific Computation
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| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Description d'apès consultation du 24 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Implementing spectral methods for partial differential equations, algorithms for scientists and engineers, David A. Kopriva, 2009, [Berlin ; Heidelberg ; New York], Springer, 1 vol. (394 p.), Scientific Computation, 978-90-481-2260-8 • Implementing Spectral Methods for Partial Differential Equations, Texte imprimé, 9789048122943 • Implementing Spectral Methods for Partial Differential Equations, Texte imprimé, 9789048184842 • Implementing spectral methods for partial differential equations, algorithms for scientists and engineers, David A. Kopriva, 2009, [Berlin ; Heidelberg ; New York], Springer, 1 vol. (394 p.), Scientific Computation, 978-90-481-2260-8 |
| סיכום: | 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 |
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| תאור פריט: | Description d'apès consultation du 24 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9789048122615 |
| ISSN: | 2198-2589 |
| גישה: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |