Eigenstructure of the equilateral triangle. III: The Robin problem.
McCartin, Brian J. (2004)
International Journal of Mathematics and Mathematical Sciences
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McCartin, Brian J. (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
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.
Mohammadi Daniali, H.R., Zsombor-Murray, P.J., Angeles, J. (1996)
Mathematica Pannonica
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Shen, Yujin, Tolosa, Juan (2008)
International Journal of Mathematics and Mathematical Sciences
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Giancarlo Cantarelli, Corrado Risito (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In the present paper we provide an interesting example of a non-degenerate precession possessing two distinct pairs , of axes of precession and figure. Thus the problem arises of the existence of classes of precessions possessing a unique axis of precession and a unique axis of figure. In the fourth section we show that the class of non-degenerate regular precessions enjoys this property.