Abstract
We introduce the time-parallel compound wavelet matrix method (tpCWM) for modeling the temporal evolution of multiscale and multiphysics systems. The method couples time parallel (TP) and CWM methods operating at different spatial and temporal scales. We demonstrate the efficiency of our approach on two examples: a chemical reaction kinetic system and a non-linear predator-prey system. Our results indicate that the tpCWM technique is capable of accelerating time-to-solution by 2-3-orders of magnitude and is amenable to efficient parallel implementation.
| Original language | English |
|---|---|
| Pages (from-to) | 8085-8092 |
| Number of pages | 8 |
| Journal | Journal of Computational Physics |
| Volume | 228 |
| Issue number | 21 |
| DOIs | |
| State | Published - Nov 20 2009 |
Funding
This research is sponsored by the Mathematical, Information, and Computational Sciences Division, Office of Advanced Scientific Computing Research, US Department of Energy. The work was partly performed at the Oak Ridge National Laboratory, which is managed by UT-Battelle, LLC under Contract No. De-AC05-00OR22725 . The authors thank Dr. Stuart Daw at Oak Ridge National Laboratory, Sudib Mishra at University of Arizona, and Drs. Rodney Fox and Z. Gao at Iowa State University for helpful discussions and feedback on the manuscript.
Keywords
- Parallel-in-time
- Wavelet-based multiscaling
