Back to Search
Start Over
An efficient algorithm for the parallel solution of high-dimensional differential equations
- Source :
-
Journal of Computational & Applied Mathematics . Mar2011, Vol. 235 Issue 9, p3053-3062. 10p. - Publication Year :
- 2011
-
Abstract
- Abstract: The study of high-dimensional differential equations is challenging and difficult due to the analytical and computational intractability. Here, we improve the speed of waveform relaxation (WR), a method to simulate high-dimensional differential-algebraic equations. This new method termed adaptive waveform relaxation (AWR) is tested on a communication network example. Further, we propose different heuristics for computing graph partitions tailored to adaptive waveform relaxation. We find that AWR coupled with appropriate graph partitioning methods provides a speedup by a factor between 3 and 16. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 235
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 57872606
- Full Text :
- https://doi.org/10.1016/j.cam.2010.12.026