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Könyv Implementing Spectral Methods for Partial Differential Equations David A. Kopriva

Implementing Spectral Methods for Partial Differential Equations

Algorithms for Physicists, Mathematicians and Engineers

Szerző: David A. Kopriva
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer Netherlands
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
57 735 Ft
This book offers a systematic and self-contained approach to solve partial differential equations nu...

Információk a könyvről

Szerző
David A. Kopriva
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2009
oldal
397
EAN
9789048122608
ISBN
9048122600
Enbook ID
01972650
Kiadó
Springer Netherlands
Súly
748
Méretek
158 x 242 x 23

Teljes leírás

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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