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Chebyshev & Fourier Spectral Methods (Paperback, Softcover reprint of the original 1st ed. 1989)
Loot Price: R2,488
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Chebyshev & Fourier Spectral Methods (Paperback, Softcover reprint of the original 1st ed. 1989)
Series: Lecture Notes in Engineering, 49
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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
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