Implementing Spectral Methods pdf (9048122600)

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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists 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 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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	Science/Engineering Linear Partial Differential Equations for Scientists and Engineers Linear Partial Differential Equations for Scientists and EngineersPublisher:Birkhäuser Boston \| 2006-12-15 \| ISBN:0817643931 \| Pages:778 \| PDF \| 4 MBBook Description:One of the most fundamental and active areas in mathematics, the theory ...
	Science/Engineering Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods by K.T. Tang "Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods"Springer \| Pages: 438 \| 2007-02-02 \| ISBN: 3540446958 \| PDF \| 3 Mb Book Description:Pedagogical ins ...
	Science/Engineering Handbook of Linear Partial Differential Equations for Engineers and Scientists [ Andrei D. Polyanin “Handbook of Linear Partial Differential Equations for Engineers and Scientists" Chapman & Hall/CRC \| 2001-11-28 \| ISBN: 1584882999 \| 800 pages \| PDF \| 7,6 Mb
	Science/Engineering Nonlinear Partial Differential Equations for Scientists and Engineers Lokenath Debnath "Nonlinear Partial Differential Equations for Scientists and Engineers " Birkhauser \| 1997-08-19 \| ISBN: 0817639020 \| 593 pages \| Djvu \| 3,9 MB "An exceptionally complete overview. There are numerous examples and the em ...
	Science/Engineering Numerical Partial Differential Equations for Environmental Scientists and Engineers (Repost) Daniel R. Lynch, «Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course»Springer \| ISBN 0387236198 \| 2004 Year \| PDF \| 14,52 Mb \| 392 PagesThis book concerns the practical solution o ...
	Science/Engineering Partial Differential Equations for Scientists and Engineers Geoffrey Stephenson, "Partial Differential Equations for Scientists and Engineers" Longman \| 1985 \| ISBN: 0582446961, 1860940242 \| 176 pages \| PDF \| 3,6 MB Partial differential equations form an essential part of the core mathematics sy ...

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	Science/Engineering Linear Partial Differential Equations for Scientists and Engineers Linear Partial Differential Equations for Scientists and EngineersPublisher:Birkhäuser Boston \| 2006-12-15 \| ISBN:0817643931 \| Pages:778 \| PDF \| 4 MBBook Description:One of the most fundamental and active areas in mathematics, the theory ...
	Science/Engineering Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods by K.T. Tang "Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods"Springer \| Pages: 438 \| 2007-02-02 \| ISBN: 3540446958 \| PDF \| 3 Mb Book Description:Pedagogical ins ...
	Science/Engineering Handbook of Linear Partial Differential Equations for Engineers and Scientists [ Andrei D. Polyanin “Handbook of Linear Partial Differential Equations for Engineers and Scientists" Chapman & Hall/CRC \| 2001-11-28 \| ISBN: 1584882999 \| 800 pages \| PDF \| 7,6 Mb
	Science/Engineering Nonlinear Partial Differential Equations for Scientists and Engineers Lokenath Debnath "Nonlinear Partial Differential Equations for Scientists and Engineers " Birkhauser \| 1997-08-19 \| ISBN: 0817639020 \| 593 pages \| Djvu \| 3,9 MB "An exceptionally complete overview. There are numerous examples and the em ...
	Science/Engineering Numerical Partial Differential Equations for Environmental Scientists and Engineers (Repost) Daniel R. Lynch, «Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course»Springer \| ISBN 0387236198 \| 2004 Year \| PDF \| 14,52 Mb \| 392 PagesThis book concerns the practical solution o ...
	Science/Engineering Partial Differential Equations for Scientists and Engineers Geoffrey Stephenson, "Partial Differential Equations for Scientists and Engineers" Longman \| 1985 \| ISBN: 0582446961, 1860940242 \| 176 pages \| PDF \| 3,6 MB Partial differential equations form an essential part of the core mathematics sy ...

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