Separation of Variables for Partial Differential Equations

An Eigenfunction Approach
1. Auflage 2019
ISBN: 978-0-367-44643-7
Verlag: Taylor & Francis Ltd (Sales)

Buch, Englisch, 304 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 422 g

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.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Cain, George

Meyer, Gunter H

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.

Über Autor(innen)

Cain, George; Meyer, Gunter H.