Spectral Methods

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Release : 2011-08-25
Genre : Mathematics
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Book Rating : 418/5 ( reviews)

Spectral Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Methods write by Jie Shen. This book was released on 2011-08-25. Spectral Methods available in PDF, EPUB and Kindle. Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Spectral Methods

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Release : 2007-09-23
Genre : Science
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Book Rating : 265/5 ( reviews)

Spectral Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Methods write by Claudio Canuto. This book was released on 2007-09-23. Spectral Methods available in PDF, EPUB and Kindle. Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.

Implementing Spectral Methods for Partial Differential Equations

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Release : 2009-05-27
Genre : Mathematics
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Book Rating : 619/5 ( reviews)

Implementing Spectral Methods for Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Implementing Spectral Methods for Partial Differential Equations write by David A. Kopriva. This book was released on 2009-05-27. Implementing Spectral Methods for Partial Differential Equations available in PDF, EPUB and Kindle. 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.

Chebyshev and Fourier Spectral Methods

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Release : 2001-12-03
Genre : Mathematics
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Book Rating : 834/5 ( reviews)

Chebyshev and Fourier Spectral Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chebyshev and Fourier Spectral Methods write by John P. Boyd. This book was released on 2001-12-03. Chebyshev and Fourier Spectral Methods available in PDF, EPUB and Kindle. Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Spectral Methods in MATLAB

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Release : 2000-07-01
Genre : Mathematics
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Book Rating : 656/5 ( reviews)

Spectral Methods in MATLAB - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Methods in MATLAB write by Lloyd N. Trefethen. This book was released on 2000-07-01. Spectral Methods in MATLAB available in PDF, EPUB and Kindle. Mathematics of Computing -- Numerical Analysis.