A parallel multistep predictor-corrector algorithm for solving ordinary differential equations
Journal of Parallel and Distributed Computing
Iterated Runge-Kutta methods on parallel computers
SIAM Journal on Scientific and Statistical Computing
ISCM '90 Proceedings of the International Symposium on Computation mathematics
Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor
Selected papers from the symposia on CWI-IMACS symposia on parallel scientific computing
Two-stage parallel methods for the numerical solution of ordinary differential equations
SIAM Journal on Scientific and Statistical Computing
Parallel methods for initial value problems
Applied Numerical Mathematics - Special issue: parallel methods for ordinary differential equations
Applied Numerical Mathematics - Special issue: parallel methods for ordinary differential equations
On the implementation of parallel iterated Runge-Kutta methods on a transputer network
Selected papers of the sixth conference on Numerical Treatment of Differential Equations
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
The potential for parallelism in Runge-Kutta methods. Part 1: RK formulas in standard form
SIAM Journal on Numerical Analysis
Implementation of Some Multiprocessor Algorithms for ODEs Using PVM
Proceedings of the 4th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Solving Initial Value Problems with Parallel Maple Processes
Euro-Par '01 Proceedings of the 7th International Euro-Par Conference Manchester on Parallel Processing
Numerical Solution of ODEs with Distributed Maple
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
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The semidicretization of a time-dependent nonlinear partial differential equation leads to a large-scale initial value problem for ordinary differential equations which often cannot be solved in a reasonable time on a sequential computer. We investigate in what extent can be practically exploited the idea of parallelism across method in the case of such large problems, and using a distributed computational system.