Name
Title | ||
|---|---|---|
Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations |
Abstract | ||
|---|---|---|
We formulate a fourth order modified nodal cubic spline collocation scheme for variable coefficient second order partial differential equations in the unit cube subject to nonzero Dirichlet boundary conditions. The approximate solution satisfies a perturbed partial differential equation at the interior nodes of a uniform $N\times N\times N$ partition of the cube and the partial differential equation at the boundary nodes. In the special case of Poisson's equation, the resulting linear system is solved by a matrix decomposition algorithm with fast Fourier transforms at a cost $O(N^3\log N)$. For the general variable coefficient diffusion-dominated case, the system is solved using the preconditioned biconjugate gradient stabilized method. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s11075-012-9669-4 | Numerical Algorithms |
Keywords | DocType | Volume |
Nodal spline collocation,Matrix decomposition algorithm,Fast Fourier transforms,65N35,65N22 | Journal | 64 |
Issue | ISSN | Citations |
2 | 1017-1398 | 0 |
PageRank | References | Authors |
0.34 | 12 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bernard Bialecki | 1 | 114 | 18.61 |
| Andreas Karageorghis | 2 | 204 | 47.54 |