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Eigenvalues and Eigenfunctions of the Laplace Operator on an Equilateral Triangle for the Discrete Case*
- 1.0174998 - MU-W 20010045 RIV CZ eng J - Journal Article
Práger, Milan
Eigenvalues and Eigenfunctions of the Laplace Operator on an Equilateral Triangle for the Discrete Case*.
Applications of Mathematics. Roč. 46, č. 3 (2001), s. 231-239. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR GA201/97/0217
Institutional research plan: CEZ:AV0Z1019905
Subject RIV: BA - General Mathematics
A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.
Permanent Link: http://hdl.handle.net/11104/0071989
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