Discretization of multiparameter eigenvalue problems
Copyright policy )Discretization of multiparameter eigenvalue problems
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.
- Technical University of Berlin Germany
- Technical University of Berlin Germany
- DigiZeitschriften Germany
numerical examples, Mathieu's differential equation, spectral theory, eigenvalue curves, Article, 510.mathematics, Ordinary differential operators, algebraic bifurcation equations, multiparameter eigenvalue problems, bifurcation points, Numerical solution of eigenvalue problems involving ordinary differential equations, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
numerical examples, Mathieu's differential equation, spectral theory, eigenvalue curves, Article, 510.mathematics, Ordinary differential operators, algebraic bifurcation equations, multiparameter eigenvalue problems, bifurcation points, Numerical solution of eigenvalue problems involving ordinary differential equations, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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