By studying the superlinear convergence of waveform relaxation method on finite time intervals, it has formerly been shown, by using the theory of quasinilpotent operators, that the convergence properties are largely determined by the graph properties of the splitting. In this paper, we show how the
Waveform Relaxation with Overlapping Splittings
โ Scribed by Jeltsch, Rolf; Pohl, Bert
- Book ID
- 118188726
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1995
- Tongue
- English
- Weight
- 942 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1064-8275
- DOI
- 10.1137/0916004
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Waveform relaxation is a technique to solve large systems of ordinary differential equations (ODEs) in parallel. The right hand side of the system is split into subsystems which are only loosely coupled. One then solves iteratively all the subsystems in parallel and exchanges information after each
For the large sparse implicit linear initial value problem, we present a block successive overrelaxation scheme for the alternating direction implicit waveform relaxation method to further accelerate its convergence speed, and discuss the convergence property of the resulting iteration method in det