Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations (Q5935356)
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scientific article; zbMATH DE number 1610093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations |
scientific article; zbMATH DE number 1610093 |
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Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations (English)
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21 March 2002
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elliptic equations
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cubic spline collocation methods
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Dirichlet-Neumann problem
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preconditioning
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0.94303334
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0.93017894
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0.9221957
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0.9062971
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0.90471125
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0.89648175
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The authors consider the cubic spline collocation methods for the Dirichlet-Neumann problem on the unit square for the equation NEWLINE\[NEWLINE-\Delta u+ a_1(x, y)u_x+ a_2(x, y)u_y+ a(x, y)u= fNEWLINE\]NEWLINE and investigate efficient preconditioning techniques. They first analyze the eigenvalues of the resulting preconditioned matrix in the one-dimensional case. The two-dimensional analysis for eigenvalues, is basically developed from the one-dimensional argument.
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