Separation of Variables for Partial Differential Equations: An Eigenfunction Approach, 1st Edition (Hardback) book cover

Separation of Variables for Partial Differential Equations

An Eigenfunction Approach, 1st Edition

By George Cain, Gunter H. Meyer

Chapman and Hall/CRC

304 pages | 50 B/W Illus.

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pub: 2005-11-21
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Description

Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the presentation includes a number of realistic applications that illustrate the power and usefulness of the ideas behind these techniques. This complete, self-contained book includes numerous exercises and error estimates, as well as a rigorous approximation and computational tool.

Table of Contents

Potential, Heat, and Wave Equations. Basic Approximation Theory. Sturm–Liouville Problems. Fourier Series. Eigenfunction Expansions for Equations in Two Independent Variables. One-Dimensional Diffusion Equation. One-Dimensional Wave Equation. Potential Problems in the Plane. Multidimensional Problems. Bibliography. Index.

About the Authors

Cain\, George; Meyer\, Gunter H.

About the Series

Studies in Advanced Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
SCI040000
SCIENCE / Mathematical Physics