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Discretization of multiparameter eigenvalue problems (1982)

Müller, Rolf E.

Springer

Numerische Mathematik 40 (1982), S. 319-328

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ISSN: 0945-3245

Keywords: AMS (MOS): 65J05, 65L15 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01396449

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