Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle (Q1979006)
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scientific article; zbMATH DE number 1450156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle |
scientific article; zbMATH DE number 1450156 |
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Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle (English)
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22 May 2000
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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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Laplace operator
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boundary value problem
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eigenvalues
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eigenfunctions
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0.97018313
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0.9653914
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0.93328154
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0.91781974
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0.90269387
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