Chebyshev & Fourier Spectral Methods

By:

John P. Boyd

Format:

Paperback / softback

Series:

Lecture Notes in Engineering

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Description

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.

Release date Australia

September 15th, 1989

Author

John P. Boyd

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Edition

Softcover reprint of the original 1st ed. 1989

Illustrations

1 Illustrations, black and white; XVI, 798 p. 1 illus.

Pages

798

Series

Lecture Notes in Engineering

Dimensions

170x242x41

ISBN-13

9783540514879

Product ID

14483442

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