The Elliptic Eigenvalue Problem
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.
KeywordsEigenvalue Problem Principal Eigenvalue Simple Eigenvalue Eigenfunction Expansion General Eigenvalue Problem
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