Hypercube Algorithms And Implementations
Hypercube Algorithms And Implementations
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In our eReader you can find the full English version of the book. Read Hypercube Algorithms And Implementations Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Hypercube Algorithms And Implementations
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PARALLEL MULTIGRID We have developed a parallel multigrid algorithm and tested it on both the Caltech and Intel Hypercubes. Multigrid Methods are near-optimal for a wide range of computations on serial or vector processors. Our test problem was a Poisson equation with Dirichlet boundary conditions on a square, discretized with a 5-point finite difference operator, but the implementation is considerably more general. A multigrid algorithm for the Poisson equation in 3 dimensions on the Caltech H...ypercube has been developed independently by Qemens Thole-^"* The basic multigrid idea23. 25, 26, 27 involves two aspects - the use of relaxation methods to dampen high-frequency errors and the use of multiple grids to allow low-frequencies to be relaxed inexpensively. A simple Two- grid Iteration involves a number of relaxations on a fine grid to reduce high- frequency errors in an initial guess of the solution, a projection of remaining errors to a coarser grid where they are solved for exactly, and then an inter- polation back to the fine grid and addition to the solution there.
What to read after Hypercube Algorithms And Implementations?
You can find similar books in the "Read Also" column, or choose other free books by Oliver a Mcbryan to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
PARALLEL MULTIGRID We have developed a parallel multigrid algorithm and tested it on both the Caltech and Intel Hypercubes. Multigrid Methods are near-optimal for a wide range of computations on serial or vector processors. Our test problem was a Poisson equation with Dirichlet boundary conditions on a square, discretized with a 5-point finite difference operator, but the implementation is considerably more general. A multigrid algorithm for the Poisson equation in 3 dimensions on the Caltech H...ypercube has been developed independently by Qemens Thole-^"* The basic multigrid idea23. 25, 26, 27 involves two aspects - the use of relaxation methods to dampen high-frequency errors and the use of multiple grids to allow low-frequencies to be relaxed inexpensively. A simple Two- grid Iteration involves a number of relaxations on a fine grid to reduce high- frequency errors in an initial guess of the solution, a projection of remaining errors to a coarser grid where they are solved for exactly, and then an inter- polation back to the fine grid and addition to the solution there.
What to read after Hypercube Algorithms And Implementations?
You can find similar books in the "Read Also" column, or choose other free books by Oliver a Mcbryan to read onlineMoreLess
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