Name
Title | ||
|---|---|---|
An algorithm with polylog parallel complexity for solving parabolic partial differential equations |
Abstract | ||
|---|---|---|
The standard numerical algorithms for solving parabolic partial differential equations are inherently sequential in the time direction. This paper describes an algorithm for the time-accurate solution of certain classes of parabolic partial differential equations that can be parallelized in both time and space. It has a serial complexity that is proportional to the serial complexities of the best-known algorithms. The algorithm is a variant of the multigrid waveform relaxation method where the scalar ordinary differential equations that make up the kernel of computation are solved using a cyclic reduction-type algorithm. Experimental results obtained on a massively parallel multiprocessor are presented. |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1137/0916034 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS,MASSIVELY PARALLEL COMPUTATION,WAVE-FORM RELAXATION,MULTIGRID,CYCLIC REDUCTION | Mathematical optimization,Exponential integrator,Separable partial differential equation,Mathematical analysis,Numerical partial differential equations,Method of characteristics,Algorithm,Stochastic partial differential equation,Elliptic partial differential equation,Collocation method,Mathematics,Multigrid method | Journal |
Volume | Issue | ISSN |
16 | 3 | 1064-8275 |
Citations | PageRank | References |
9 | 3.78 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| G. Horton | 1 | 37 | 6.14 |
| S. Vandewalle | 2 | 74 | 10.06 |
| P. Worley | 3 | 9 | 3.78 |