Numerical Solution of ODEs with Distributed Maple

Authors:
Dana Petcu
Affiliations:
-
Venue:
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
Year:
2000

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Abstract

We describe a Maple package named D-NODE (Distributed Numerical solver for ODEs), implementing a number of difference methods for initial value problems. The distribution of the computational effort follows the idea of parallelism across method. We have benchmark the package in a cluster environment. Distributed Maple ensures the inter-processor communications. Numerical experiments show that parallel implicit Runge-Kutta methods can attain speed-ups close to the ideal values when the initial value problem is stiff and has between ten and hundred equations. The stage equations of the implicit methods are solved on different processors using Maple's facilities.