Discretization of multiparameter eigenvalue problems |
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Authors: | Rolf E Müller |
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Institution: | (1) Fachbereich Mathematik der Technischen Universität Berlin, Straße des 17, Juni 135, D-1000 Berlin 12, Germany (Fed. Rep.) |
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Abstract: | Summary Although multiparameter eigenvalue problems, as for example Mathieu's differential equation, have been known for a long time, so far no work has been done on the numerical treatment of these problems. So in this paper we extend the spectral theory for one parameter (cf. 7, II, VII]) to multiparameter eigenvalue problmes, formulate in the framework of discrete approximation a convergent numerical treatment, establish algebraic bifurcation equations for the intersection points of the eigenvalue curves and illustrate this with some numerical examples. |
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Keywords: | AMS (MOS): 65J05 65L15 CR: 5 17 |
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