Eigenvalue approximation

Teresa Regińska

Displaying similar documents to “Eigenvalue approximation”

The effect of reduced integration in the Steklov eigenvalue problem

María G. Armentano (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions, the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.

Eigenvalue Approximation via Non-Conforming and Hybrid Finite Element Methods

B. Mercier, J. Rappaz (1978)

Publications mathématiques et informatique de Rennes

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Dependence of a differential equation on the first eigenvalue of a suitable problem

Jan Bochenek (1980)

Annales Polonici Mathematici

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Equality in Wielandt’s eigenvalue inequality

Shmuel Friedland (2015)

Special Matrices

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In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.

Note on a paper of E. M. E. Zayed and S. F. M. Ibraham.

Eberhard, W., Freiling, G., Schneider, A. (1992)

International Journal of Mathematics and Mathematical Sciences

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A simple proof of the spectral continuity of the Sturm-Liouville problem

PrzemysŁaw Kosowski (1997)

Banach Center Publications

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The aim of this article is to present a simple proof of the theorem about perturbation of the Sturm-Liouville operator in Liouville normal form.

Approximation of eigenvalues and a Koehler's type method

Cesare Davini (1982)

Rendiconti del Seminario Matematico della Università di Padova

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On some properties of eigenvalues and eigenfunctions of certain differential equations of the fourth order

Jan Bochenek (1971)

Annales Polonici Mathematici

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Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

Behrouz Emamizadeh, Amin Farjudian (2014)

Nonautonomous Dynamical Systems

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In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will...