Advertisement

The Elliptic Eigenvalue Problem

Part of the Texts in Applied Mathematics book series (TAM, volume 45)

Abstract

Eigenvalue problems are important in the mathematical analysis of partial differential equations, and occur, e.g., in the modelling of vibrating membranes and other applications. In our study of time-dependent partial differential equations it will be important to develop functions in eigenfunction expansions, and we therefore discuss such expansions in Sect. 6.1 below. In the following Sect. 6.2 we present some simple approaches and results for the numerical solution of eigenvalue problems.

Keywords

Eigenvalue Problem Principal Eigenvalue Simple Eigenvalue Eigenfunction Expansion General Eigenvalue Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Personalised recommendations