Solution of Poisson equation on parallel computer
Matematičeskoe modelirovanie, Tome 9 (1997) no. 9, pp. 18-26.

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Organization of parallel computations on Parsytec computer is discussed. As an example we consider the solution of Poisson equation in two dimensional $(r,z)$ region. We use Fourier transform in zdirection and sweep (gauss elimination) method in $r$-direction. Sweep method with high coefficient of parallel performance for multi-processor computers with distributed memory is described.
@article{MM_1997_9_9_a1,
     author = {V. Ya. Karpov},
     title = {Solution of {Poisson} equation on parallel computer},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {18--26},
     publisher = {mathdoc},
     volume = {9},
     number = {9},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1997_9_9_a1/}
}
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V. Ya. Karpov. Solution of Poisson equation on parallel computer. Matematičeskoe modelirovanie, Tome 9 (1997) no. 9, pp. 18-26. http://geodesic.mathdoc.fr/item/MM_1997_9_9_a1/