Title
Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems
Abstract
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. Hemker131.72
Grigorii I. Shishkin25215.80
Lidia P. Shishkina312.12
Lubin G. Vulkov4475121.31
Jerzy Wasniewski51762314.71
Plamen Yalamov632590.97