Parallel iteration of high-order Runge-Kutta methods with stepsize control
Journal of Computational and Applied Mathematics
Volume rendering on scalable shared-memory MIMD architectures
VVS '92 Proceedings of the 1992 workshop on Volume visualization
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
The potential for parallelism in Runge-Kutta methods. Part 1: RK formulas in standard form
SIAM Journal on Numerical Analysis
Parallel and sequential methods for ordinary differential equations
Parallel and sequential methods for ordinary differential equations
Performance Evaluation of Task Pools Based on Hardware Synchronization
Proceedings of the 2004 ACM/IEEE conference on Supercomputing
A comparison of task pools for dynamic load balancing of irregular algorithms: Research Articles
Concurrency and Computation: Practice & Experience
Design and implementation of a novel dynamic load balancing library for cluster computing
Parallel Computing - Heterogeneous computing
Optimizing locality and scalability of embedded Runge--Kutta solvers using block-based pipelining
Journal of Parallel and Distributed Computing
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Embedded Runge-Kutta methods are among the most popular methods for the solution of non-stiff initial value problems of ordinary differential equations (ODEs). We investigate the use of load balancing strategies in a data-parallel implementation of embedded Runge-Kutta integrators. Since the parallelism contained in the function evaluation of the ODE system is typically very fine-grained, our aim is to find out whether the employment of load balancing strategies can be profitable in spite of the additional overhead they involve.