Eigenstructure of the equilateral triangle. II: The Neumann problem.
McCartin, Brian J. (2002)
Mathematical Problems in Engineering
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Displaying similar documents to “Eigenstructure of the equilateral triangle. III: The Robin problem.”
Eigenstructure of the equilateral triangle. II: The Neumann problem.
Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case
Milan Práger (2001)
Applications of Mathematics
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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.
Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle
Milan Práger (1998)
Applications of Mathematics
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A boundary value problem for the Laplace equation with Dirichlet and Neumann boundary conditions on an equilateral triangle is transformed to a problem of the same type on a rectangle. This enables us to use, e.g., the cyclic reduction method for computing the numerical solution of the problem. By the same transformation, explicit formulae for all eigenvalues and all eigenfunctions of the corresponding operator are obtained.
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Sampath, C., Jain, D.L. (1988)
International Journal of Mathematics and Mathematical Sciences
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Hans Lewy (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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