Geodesic
Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation
Kybernetika, Tome 37 (2001) no. 2, p. [171]

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A generalization of the spatially one-dimensional parallel pipe-line algorithm for solution of the initial-boundary-value problem using explicit difference method to the two-dimensional case is presented. The suggested algorithm has been verified by implementation on a workstation-cluster running under PVM (Parallel Virtual Machine). Theoretical estimates of the speed-up are presented.
Classification : 65M06, 65Y05, 68W10
Keywords: initial-boundary-value problem; parallel virtual machine (PVM) 
@article{KYB_2001__37_2_a5,
     author = {Purcz, Pavol},
     title = {Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation},
     journal = {Kybernetika},
     pages = {[171]},
     publisher = {mathdoc},
     volume = {37},
     number = {2},
     year = {2001},
     mrnumber = {1839227},
     zbl = {1265.68355},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2001__37_2_a5/}
}
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Purcz, Pavol. Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation. Kybernetika, Tome 37 (2001) no. 2, p. [171]. http://geodesic.mathdoc.fr/item/KYB_2001__37_2_a5/