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.
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© 2009 Springer-Verlag Berlin Heidelberg
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(2009). The Elliptic Eigenvalue Problem. In: Partial Differential Equations with Numerical Methods. Texts in Applied Mathematics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88706-5_6
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DOI: https://doi.org/10.1007/978-3-540-88706-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88705-8
Online ISBN: 978-3-540-88706-5
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