ON THE IMPLEMENTATION OF PARALLEL ITERATED RUNGE-KUTTA METHODS ON A TRANSPUTER NETWORK

Authors
DEMEYER H VANDAELE M VANDENBERGHE G
Citation
H. Demeyer et al., ON THE IMPLEMENTATION OF PARALLEL ITERATED RUNGE-KUTTA METHODS ON A TRANSPUTER NETWORK, Applied numerical mathematics, 13(1-3), 1993, pp. 155-163
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied numerical mathematics → ACNP
ISSN journal
01689274
Volume
13
Issue
1-3
Year of publication
1993
Pages
155 - 163
Database
ISI
SICI code
0168-9274(1993)13:1-3<155:OTIOPI>2.0.ZU;2-V
Abstract
A parallel iterated Runge-Kutta formula (PIRK) of eighth order is impl emented on a transputer network. Tests are carried out for different n etwork configurations. Efficiently measures are obtained with respect to the corresponding sequential PIRK8 method and with respect to the s tandard sequential DOPRI8 algorithm. It turns out that execution times are affected by communication and synchronization aspects and also in some cases by the particular ordering in which certain numerical calc ulations are performed.