An efficient algorithm for the parallel solution of high-dimensional differential equations

Details An efficient algorithm for the parallel solution of high-dimensional differential equations An efficient algorithm for the parallel solution of high-dimensional differential equations

2010-03-26

arxiv.org/abs/1003.5238v3

Computer Science

Distributed, Parallel, and Cluster Computing

Scientific paper

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.

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