A Direct Method for the Discrete Solution of Separable Elliptic Equations
This paper extends the direct method of cyclic reduction to linear systems which result from the discretization of separable elliptic equations with Dirichlet, Neumann, or periodic boundary conditions. For an m × n net, the operation count is proportional to mn log2 n and mn storage locations are re...
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| Veröffentlicht in: | SIAM journal on numerical analysis 1974-12, Vol.11 (6), p.1136-1150 |
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| container_title | SIAM journal on numerical analysis |
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| creator | Swarztrauber, Paul N. |
| description | This paper extends the direct method of cyclic reduction to linear systems which result from the discretization of separable elliptic equations with Dirichlet, Neumann, or periodic boundary conditions. For an m × n net, the operation count is proportional to mn log2 n and mn storage locations are required. |
| doi_str_mv | 10.1137/0711086 |
| format | Article |
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| identifier | ISSN: 0036-1429 |
| ispartof | SIAM journal on numerical analysis, 1974-12, Vol.11 (6), p.1136-1150 |
| issn | 0036-1429 1095-7170 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_22113305 |
| source | SIAM Journals Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | Algorithms Boundary conditions Elliptic equations Factorization Fourier transforms Linear systems Matrices Methods Partial differential equations Poisson equation Polynomials Preprocessing Scalars |
| title | A Direct Method for the Discrete Solution of Separable Elliptic Equations |
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