Browsing by Subject "Spectral collocation"
Now showing items 1-5 of 5
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Article
An efficient direct method for fully conforming spectral collocation schemes
(1996)An efficient direct method is presented for the solution of the linear systems arising in the solution of second and fourth order problems by certain multidomain spectral collocation schemes. In it, the block structure of ...
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Article
High performance solution of linear systems arising from conforming spectral approximations for non-conforming domain decompositions
(1997)We apply a conforming spectral collocation technique to nonconforming domain decompositions. The resulting global matrices have a particular block structure. We study the performance of various direct methods of solution ...
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Article
A legendre spectral collocation method for the biharmonic Dirichlet problem
(2000)A Legendre spectral collocation method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
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Article
Spectral Chebyshev collocation for the poisson and biharmonic equations
(2010)This paper is concerned with the spectral Chebyshev collocation solution of the Dirichlet problems for the Poisson and biharmonic equations in a square. The collocation schemes are solved at a cost of 2N3 + O(N2 logN) ...
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Article
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk
(2008)The paper is concerned with the spectral collocation solution of the Helmholtz equation in a disk in the polar coordinates r and θ. We use spectral Chebyshev collocation in r, spectral Fourier collocation in θ, and a simple ...