Abstract
The purpose of this chapter is to describe two very efficient methods for solving eigenvalue problems of the type encountered in linear and energy stability convection problems. The techniques referred to are the compound matrix method, which is simple to implement, and the Chebyshev tau technique. The chapter is intended to be a practical guide as to how to solve relevant eigenvalue problems. Several examples from fluid mechanics and porous convection are included. First we briefly describe a standard shooting method.
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© 2004 Springer Science+Business Media New York
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Straughan, B. (2004). Numerical solution of eigenvalue problems. In: The Energy Method, Stability, and Nonlinear Convection. Applied Mathematical Sciences, vol 91. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21740-6_19
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DOI: https://doi.org/10.1007/978-0-387-21740-6_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1824-6
Online ISBN: 978-0-387-21740-6
eBook Packages: Springer Book Archive