Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640174 | Journal of Computational and Applied Mathematics | 2011 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stefan Klus, Tuhin Sahai, Cong Liu, Michael Dellnitz,