Chebyshev & Fourier Spectral Methods (Paperback, Softcover reprint of the original 1st ed. 1989)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Engineering, 49
Release date:	September 1989
First published:	1989
Authors:	John P. Boyd
Dimensions:	242 x 170 x 41mm (L x W x T)
Format:	Paperback
Pages:	798
Edition:	Softcover reprint of the original 1st ed. 1989
ISBN-13:	978-3-540-51487-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	3-540-51487-2
Barcode:	9783540514879

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