Chebyshev Fourier Spectral Methods
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Chebyshev and Fourier Spectral Methods
Author | : John P. Boyd |
Publsiher | : Courier Corporation |
Total Pages | : 690 |
Release | : 2001-12-03 |
Genre | : Mathematics |
ISBN | : 9780486411835 |
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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.
Chebyshev Fourier Spectral Methods
Author | : John P. Boyd |
Publsiher | : Springer |
Total Pages | : 822 |
Release | : 1989-09-15 |
Genre | : Mathematics |
ISBN | : UOM:39015013858884 |
Download Chebyshev Fourier Spectral Methods Book in PDF, Epub and Kindle
The goal of this book is to teach spectral methods for solving boundary value, eigenvalue, and time-dependent problems. Although the title speaks only of Chebyshev polynomials and trigonometric functions, the book also discusses Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions. These notes evolved from a course I have taught the past five years to an audience drawn from half a dozen different disciplines at the University of Michigan: aerospace engineering, meteorology, physical oceanography, mechanical engineering, naval architecture, and nuclear engineering. With such a diverse audience, this book is not focused on a particular discipline, but rather upon solving differential equations in general. The style is not lemma-theorem-Sobolev space, but algorithms guidelines-rules-of-thumb. Although the course is aimed at graduate students, the required background is limited. It helps if the reader has taken an elementary course in computer methods and also has been exposed to Fourier series and complex variables at the undergraduate level. However, even this background is not absolutely necessary. Chapters 2 to 5 are a self contained treatment of basic convergence and interpolation theory.
Chebyshev and Fourier Spectral Methods
Author | : John P. Boyd |
Publsiher | : Courier Corporation |
Total Pages | : 690 |
Release | : 2013-06-05 |
Genre | : Mathematics |
ISBN | : 9780486141923 |
Download Chebyshev and Fourier Spectral Methods Book 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.
Chebyshev Fourier Spectral Methods
![Chebyshev Fourier Spectral Methods](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : John P. Boyd |
Publsiher | : Springer |
Total Pages | : 0 |
Release | : 1989 |
Genre | : Technology & Engineering |
ISBN | : 3642838766 |
Download Chebyshev Fourier Spectral Methods Book in PDF, Epub and Kindle
The goal of this book is to teach spectral methods for solving boundary value, eigenvalue, and time-dependent problems. Although the title speaks only of Chebyshev polynomials and trigonometric functions, the book also discusses Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions. These notes evolved from a course I have taught the past five years to an audience drawn from half a dozen different disciplines at the University of Michigan: aerospace engineering, meteorology, physical oceanography, mechanical engineering, naval architecture, and nuclear engineering. With such a diverse audience, this book is not focused on a particular discipline, but rather upon solving differential equations in general. The style is not lemma-theorem-Sobolev space, but algorithms guidelines-rules-of-thumb. Although the course is aimed at graduate students, the required background is limited. It helps if the reader has taken an elementary course in computer methods and also has been exposed to Fourier series and complex variables at the undergraduate level. However, even this background is not absolutely necessary. Chapters 2 to 5 are a self contained treatment of basic convergence and interpolation theory.
Spectral Methods And Their Applications
Author | : Ben-yu Guo |
Publsiher | : World Scientific |
Total Pages | : 360 |
Release | : 1998-05-05 |
Genre | : Mathematics |
ISBN | : 9789814496643 |
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This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods. Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction, heat conduction and other fields.The book consists of three parts. The first part deals with orthogonal approximations in Sobolev spaces and the stability and convergence of approximations for nonlinear problems, as the mathematical foundation of spectral methods. In the second part, various spectral methods are described, with some applications. It includes Fourier spectral method, Legendre spectral method, Chebyshev spectral method, spectral penalty method, spectral vanishing viscosity method, spectral approximation of isolated solutions, multi-dimensional spectral method, spectral method for high-order equations, spectral-domain decomposition method and spectral multigrid method. The third part is devoted to some recent developments of spectral methods, such as mixed spectral methods, combined spectral methods and spectral methods on the surface.
Spectral Methods in MATLAB
Author | : Lloyd N. Trefethen |
Publsiher | : SIAM |
Total Pages | : 179 |
Release | : 2000-07-01 |
Genre | : Mathematics |
ISBN | : 9780898714654 |
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Mathematics of Computing -- Numerical Analysis.
Numerical Analysis of Spectral Methods
Author | : David Gottlieb,Steven A. Orszag |
Publsiher | : SIAM |
Total Pages | : 175 |
Release | : 1977-01-01 |
Genre | : Technology & Engineering |
ISBN | : 1611970423 |
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A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Spectral and High order Methods with Applications
![Spectral and High order Methods with Applications](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Jie Shen,Tao Tang |
Publsiher | : Unknown |
Total Pages | : 224 |
Release | : 2006 |
Genre | : Calculus |
ISBN | : 7030177223 |
Download Spectral and High order Methods with Applications Book in PDF, Epub and Kindle
中国科学院科学出版基金资助出版。