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Implementing Spectral Methods for Partial Differential Equations

Name: Implementing Spectral Methods for Partial Differential Equations
Brand: Springer Netherlands
SKU: 9789048122608
Price: 155.22 EUR
Availability: InStock

Algorithms for Physicists, Mathematicians and Engineers

Autor: David A. Kopriva

Jazyk:

Väzba: Pevná

Vydavateľ: Springer Netherlands

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-18 dní

155.22 €

This book offers a systematic and self-contained approach to solve partial differential equations nu...

Informácie o knihe

Autor

David A. Kopriva

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2009

Stránok

397

EAN

9789048122608

ISBN

9048122600

Enbook ID

01972650

Vydavateľ

Springer Netherlands

Hmotnosť

748

Rozmery

158 x 242 x 23

Kompletný popis

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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Implementing Spectral Methods for Partial Differential Equations

Algorithms for Physicists, Mathematicians and Engineers

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