11 edition of **Chebyshev and Fourier spectral methods** found in the catalog.

- 319 Want to read
- 7 Currently reading

Published
**2001**
by Dover Publications in Mineola, N.Y
.

Written in English

- Chebyshev polynomials.,
- Fourier analysis.,
- Spectral theory (Mathematics)

**Edition Notes**

Includes bibliographical references (p. 595-668) and index.

Statement | John P. Boyd. |

Classifications | |
---|---|

LC Classifications | QA404.5 .B69 2001 |

The Physical Object | |

Pagination | xvi, 668 p. : |

Number of Pages | 668 |

ID Numbers | |

Open Library | OL6780843M |

ISBN 10 | 0486411834 |

LC Control Number | 00027475 |

Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested introduction, the first on the subject, is ideal for graduate courses, or self-study. The objective of this book is to provide a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incom pressible viscous flows, based on the Navier-Stokes equations. and confidence in the numerical results, the re For reasons of efficiency searchers and.

Find many great new & used options and get the best deals for Dover Books on Mathematics Ser.: Chebyshev and Fourier Spectral Methods by John P. Boyd (, Hardcover, Revised edition) at the best online prices at eBay! Free shipping for many products! The restriction to even N in this book (p. 18) applies to Fourier, not Chebyshev spectral methods. To get a feel for the interpolation process, we take a look at .

Chebyshev and Fourier Spectral Methods, 2d. edition, Dover Publishers, on sale in December, [This file contains the complete text excluding references, which are in th e file link below.] (; File size about MB) Chebyshev and Fourier Spectral Methods, references. Chebyshev and Fourier Spectral Methods 作者: Boyd, John P. 出版年: 页数: 定价: $ ISBN: 豆瓣评分.

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Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics) Second Edition, Revised by John P. Boyd (Author) out of 5 stars 6 ratingsCited by: The Chebyshev and Fourier spectral methods book Book (eBook) of the Chebyshev and Fourier Spectral Methods: Second Revised Edition by John P.

Boyd at Barnes & Noble. FREE Shipping on $35 or Author: John P. Boyd. 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.

Chebyshev and Fourier Spectral Methods by John P. Boyd. Publisher: Dover Publications ISBN/ASIN: ISBN Number of pages: Description: The 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.

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, Brand: Springer-Verlag Berlin Heidelberg.

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, spherical and cylindrical geometry, and more/5(11).

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/5(11). Buy Chebyshev and Fourier Spectral Meth (Dover Books on Mathematics) 2nd by Boyd (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders/5(5). Chebyshev and Fourier Spectral Methods. Here again, in order to solve numerically the mKdV equation on a periodic domain we use the classical Fourier-type pseudo-spectral method [32, 33].

All. Chebyshev and Fourier Spectral Methods Second Edition John P. Boyd University of Michigan Ann Arbor, Michigan email: [email protected] Some basic ideas of spectral methods 3 where each a k(t)is to be determined. Comparison with the ﬁnite element method We may compare the spectral method (before actually describing it) to the ﬁnite element method.

One difference is this: the trial functions τ k in the ﬁnite element method are usually 1 at the mesh-point, x. Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain differential equations, potentially involving the use of the fast Fourier idea is to write the solution of the differential equation as a sum of certain "basis functions" (for example, as a Fourier series which is a sum of sinusoids) and then to choose the.

Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics) - Kindle edition by Boyd, John P.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics)/5(6).

Chebyshev and Fourier Spectral Methods: Second Revised Edition – John P. Boyd – Google Books. Thanks for telling us about the problem. Pseudospectral methods on a semi-infinite interval with application to the hydrogen atom: Chebyshev Methods on a Semi-Infinite Interval.

This never detracts, but, in fact, improves the book. Introduction to spectral methods Philippe Grandcl´ement Laboratoire Univers et ses Th´eories, Observatoire de Paris, 5 place J. Janssen, Meudon Cedex, France This proceeding is intended to be a ﬁrst introduction to spectral methods.

It is written around some simple problems that are solved explicitly and in details and that aim at. 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, spherical and cylindrical geometry, and more.

Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics) by John P. Boyd () on *FREE* shipping on qualifying offers.

Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books /5(6). Thus, a finite Chebyshev series expansion is related to a discrete cosine transform. The Chebyshev pseudo-spectral method is the most logical choice of pseudo-spectral methods for problems with non-periodic boundary conditions.

This comes from the particularly nice characteristics of the Chebyshev interpolating polynomials (cf. also Chebyshev. His previous books are Chebyshev and Fourier Spectral Methods, 2nd edition,(Dover, ) and Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics (Springer, ).

He has also published journal articles in atmospheric and oceanic dynamics, Chebyshev and Fourier Spectral Methods/5. 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, spherical and cylindrical geometry, and more/5.

Chebyshev and Fourier Spectral Methods: Second Revised Edition: Boyd, John P.: Books - (5).Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics) by John P. Boyd and a great selection of related books, art and collectibles available now at Find helpful customer reviews and review ratings for Chebyshev and Fourier Spectral Methods: Second Revised Edition (Dover Books on Mathematics) at Read honest and unbiased product reviews from our users/5(5).