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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers - Couverture rigide
Synopsis
Book by Kopriva David A
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
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.
Biographie de l'auteur
David Kopriva is Professor of Mathematics at the Florida State University, where he has taught since 1985. He is an expert in the development, implementation and application of high order spectral multi-domain methods for time dependent problems. In 1986 he developed the first multi-domain spectral method for hyperbolic systems, which was applied to the Euler equations of gas dynamics.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer
- Date d'édition2009
- ISBN 10 9048122600
- ISBN 13 9789048122608
- ReliureRelié
- Langueanglais
- Nombre de pages397
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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers (Scientific Computation)
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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers (Scientific Computation)
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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers
Edité par
Springer Netherlands, 2009
ISBN 10 : 9048122600
ISBN 13 : 9789048122608
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First book to cover multidomain spectral methods for the numerical solution of time-dependent 1D and 2D partial differential equationsPresented without too much abstract mathematics and minutaeContains a set of basic examples as building bl. N° de réf. du vendeur 100552801
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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers (Scientific Computation)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9789048122608
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Implementing Spectral Methods for Partial Differential Equations : Algorithms for Scientists and Engineers
Edité par
Springer Mai 2009, 2009
ISBN 10 : 9048122600
ISBN 13 : 9789048122608
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Neuware - This book offers a systematic and self-contained approach to solvepartial differential equations numerically using single and multidomain spectralmethods. It contains detailed algorithms in pseudocode for the applicationof spectral approximations to both one and two dimensional PDEsof mathematical physics describing potentials,transport, and wave propagation. David Kopriva, a well-known researcherin the field with extensive practical experience, shows how only a fewfundamental algorithms form the building blocks of any spectral code, evenfor problems with complex geometries. The book addresses computationaland applications scientists, as it emphasizes thepractical derivation and implementation of spectral methods over abstract mathematics. It is divided into two parts: First comes a primer on spectralapproximation and the basic algorithms, including FFT algorithms, Gaussquadrature algorithms, and how to approximate derivatives. The secondpart shows how to use those algorithms to solve steady and time dependent PDEs in one and two space dimensions. Exercises and questions at theend of each chapter encourage the reader to experiment with thealgorithms. N° de réf. du vendeur 9789048122608
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