Title | ||
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High-order time-accurate parallel schemes for parabolic singularly perturbed problems with convection |
Abstract | ||
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The first boundary value problem for a singularly perturbed parabolic equation of convection-diffusion type on an interval
is studied. For the approximation of the boundary value problem we use earlier developed finite difference schemes, ɛ-uniformly
of a high order of accuracy with respect to time, based on defect correction. New in this paper is the introduction of a partitioning
of the domain for these ɛ-uniform schemes. We determine the conditions under which the difference schemes, applied independently
on subdomains may accelerate (ɛ-uniformly) the solution of the boundary value problem without losing the accuracy of the original
schemes. Hence, the simultaneous solution on subdomains can in principle be used for parallelization of the computational
method. |
Year | DOI | Venue |
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2001 | 10.1007/s006070170032 | Computing |
Keywords | DocType | Volume |
AMS Subject Classifications: 65N22,65N55,35K20,35B25,35A40.,Key Words: Parabolic PDEs,convection-diffusion,higher-order time-accuracy schemes,defect correction,ɛ-uniform convergence,parallel algorithms,Schwarz-like methods. | Journal | 66 |
Issue | ISSN | Citations |
2 | 0010-485X | 2 |
PageRank | References | Authors |
0.76 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
P. W. Hemker | 1 | 3 | 1.72 |
Grigory Shishkin | 2 | 2 | 1.43 |
Lidia Shishkina | 3 | 3 | 1.87 |