This paper describes how the specific access structure of the Brusselator equation, a typical example for ordinary differential equations (ODEs) derived by the method of lines, can be exploited to obtain scalable distributed-memory implementations of explicit Runge-Kutta (RK) solvers. These implementations need less communication and therefore achieve better speed-ups than general explicit RK implementations. Particularly, we consider implementations based on a pipelining computation scheme leading to an improved locality behavior. © Springer-Verlag 2003.
CITATION STYLE
Korch, M., & Rauber, T. (2004). Scalable parallel RK solvers for ODEs derived by the method of lines. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2790, 830–839. https://doi.org/10.1007/978-3-540-45209-6_113
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