โ Scribed by Stefan Klus; Tuhin Sahai; Cong Liu; Michael Dellnitz
No coin nor oath required. For personal study only.
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.
๐ SIMILAR VOLUMES
In this paper an efficient parallel algorithm to solve a three-dimensional problem of subsidence above exploited gas reservoirs is presented. The parallel program is developed on a cluster of workstations. The parallel virtual machine (PVM) system is used to handle communications among networked wor