=ADD=
=reftype=
14
=number=
00-09
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2000/00-09.ps.gz
=year=
2000
=month=
02
=author=
Petcu; Dana
=title=
Numerical Solution of ODEs with Distributed Maple
=abstract=
We describe a {\tt Maple} package named {\tt 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 parllelism across method. We have benchmarked the package in a cluster
environment. {\tt Distributed Maple} ensures the inter-processor communication.
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 {\tt Maple}'s facilities. 
=sponsor=
FWF/SFB project F1303
=keywords=
parallel numerical methods for ordinary differential equations, distributed computer algebra systems, performance analysis