The Elliptic Eigenvalue Problem

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


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.


Eigenvalue Problem Principal Eigenvalue Simple Eigenvalue Eigenfunction Expansion General Eigenvalue Problem 
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© Springer-Verlag Berlin Heidelberg 2009

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