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Discretization of multiparameter eigenvalue problems

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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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  1. Fachbereich Mathematik der Technischen Universität Berlin, Straße des 17, Juni 135, D-1000, Berlin 12, Germany (Fed. Rep.)

    Rolf E. Müller

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  1. Rolf E. Müller
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Müller, R.E. Discretization of multiparameter eigenvalue problems. Numer. Math. 40, 319–328 (1982). https://doi.org/10.1007/BF01396449

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