Title | ||
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Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems |
Abstract | ||
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For singularly perturbed convection-diffusion problems with the perturbation parameter 驴 multiplying the highest derivatives, we construct a scheme based on the defect correction method and its parallel variant that converge 驴-uniformly with second-order accuracy in the time variable. We also give the conditions under which the parallel computation accelerates the solution process with preserving the higher-order accuracy of the original schemes. |
Year | DOI | Venue |
---|---|---|
2000 | 10.1007/3-540-45262-1_46 | Communications of The ACM |
Keywords | DocType | Volume |
higher-order accuracy,parallel variant,parallel computation,parallel computations,convection-diffusion problem,perturbation parameter,singularly perturbed convection-diffusion problems,solution process,second-order accuracy,defect correction method,high-order time-accurate difference schemes,original scheme,highest derivative,parallel computer | Conference | 1988 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
1 | 6 |
Name | Order | Citations | PageRank |
---|---|---|---|
P. W. Hemker | 1 | 3 | 1.72 |
Grigorii I. Shishkin | 2 | 52 | 15.80 |
Lidia P. Shishkina | 3 | 1 | 2.12 |
Lubin G. Vulkov | 4 | 475 | 121.31 |
Jerzy Wasniewski | 5 | 1762 | 314.71 |
Plamen Yalamov | 6 | 325 | 90.97 |