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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers - Brossura
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This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.
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Recensione
From the reviews:
“This book focuses on the implementation aspects of spectral methods. ... serve as a textbook for graduate students and applied mathematics researchers who seek a practical way to implement spectral algorithms. The presentation is pedagogical, moving from algorithms that are easy to understand to ones that are more complex and involved. ... It is a very recommendable book for a graduate course on spectral methods, and covers more practical subjects that are not usually treated in detail in other monographs on spectral methods.” (Javier de Frutos, Mathematical Reviews, Issue 2010 j)L'autore
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.
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- EditoreSpringer
- Data di pubblicazione2010
- ISBN 10 9048184843
- ISBN 13 9789048184842
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine412
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Implementing Spectral Methods for Partial Differential Equations
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Implementing Spectral Methods for Partial Differential Equations
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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
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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
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Springer Netherlands Okt 2010, 2010
ISBN 10: 9048184843
ISBN 13: 9789048184842
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 412 pp. Englisch. Codice articolo 9789048184842
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Implementing Spectral Methods for Partial Differential Equations
Editore:
Springer Netherlands, 2010
ISBN 10: 9048184843
ISBN 13: 9789048184842
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Da: moluna, Greven, Germania
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Kartoniert / Broschiert. Condizione: 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. Codice articolo 5822305
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Implementing Spectral Methods for Partial Differential Equations : Algorithms for Scientists and Engineers
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Springer Netherlands, Springer Netherlands, 2010
ISBN 10: 9048184843
ISBN 13: 9789048184842
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9789048184842
Quantità: 1 disponibili
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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers (Scientific Computation)
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