Solving problems on concurrent processors. Vol. 1: General techniques and regular problems
Solving problems on concurrent processors. Vol. 1: General techniques and regular problems
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
Optimum Broadcasting and Personalized Communication in Hypercubes
IEEE Transactions on Computers
A bridging model for parallel computation
Communications of the ACM
Parallel iteration of high-order Runge-Kutta methods with stepsize control
Journal of Computational and Applied Mathematics
Performance modeling of distributed memory architectures
Journal of Parallel and Distributed Computing
An introduction to parallel algorithms
An introduction to parallel algorithms
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
LogP: towards a realistic model of parallel computation
PPOPP '93 Proceedings of the fourth ACM SIGPLAN symposium on Principles and practice of parallel programming
Parallel Programming Using Skeleton Functions
PARLE '93 Proceedings of the 5th International PARLE Conference on Parallel Architectures and Languages Europe
Hypercube Implementation and Performance Analysis for Extrapolation Models
CONPAR 94 - VAPP VI Proceedings of the Third Joint International Conference on Vector and Parallel Processing: Parallel Processing
Iterated Runge-Kutta methods on distributed memory multiprocessors
PDP '95 Proceedings of the 3rd Euromicro Workshop on Parallel and Distributed Processing
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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Many simulations in the natural sciences and engineering require the numerical solution of nonlinear differential equations. For this class of numerical methods, we propose an appropriate parallel computation model on distributed memory machines that supports the prediction of execution times. As a case study, we investigate the parallel implementation of the diagonal-implicitly iterated Runge-Kutta method, a solution method for stiff systems of ordinary differential equations. An implementation on the Intel iPSC/860 confirms the accuracy of the prediction model.