Computer Visions for the Eigenvalue Problems of Embedded Surfaces and Plane Domains

Masaki Jumonji, Hajime Urakawa · Annals of the Alexandru Ioan Cuza University - Mathematics · 2011

In this paper, we show the numerical computations and the computer graphics of the eigenvalues and eigenfunctions for the eigenvalue problems of the Laplacian on compact embedded surfaces.Namely, we examine the behaviors of the eigenvalues and eigenfunctions of the dumbbells connected by two spheres.

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