Convergence of dynamic iteration methods for initial value problems
SIAM Journal on Scientific and Statistical Computing
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
On the convergence of the discretized multisplitting waveform relaxation algorithm
Applied Numerical Mathematics - Special issue: parallel methods for ordinary differential equations
Waveform relaxation with overlapping splittings
SIAM Journal on Scientific Computing
Parallel and sequential methods for ordinary differential equations
Parallel and sequential methods for ordinary differential equations
Multigrid waveform relaxation on spatial finite element meshes: the continuous-time case
SIAM Journal on Numerical Analysis
On the performance of parallel waveform relaxations for differential systems
Applied Numerical Mathematics
Convergence of Waveform Relaxation Methods for Differential-Algebraic Systems
SIAM Journal on Numerical Analysis
Applied Numerical Mathematics
Waveform relaxation and comparison methods for multipoint boundary value problems
Computers & Mathematics with Applications
| Hi-index | 7.29 |
In this paper, we establish several algorithms for parallel chaotic waveform relaxation methods for solving linear ordinary differential systems based on some given models. Under some different assumptions on the coefficient matrix A and its multisplittings we obtain corresponding sufficient conditions of convergence of the algorithms. Also a discussion on convergence speed comparison of synchronous and asynchronous algorithms is given.