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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 57
DEVELOPMENTS IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping
Paper VI.1
Developing a Distributed System for Algebraic Geometry W. Schreiner
Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria W. Schreiner, "Developing a Distributed System for Algebraic Geometry", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 137-145, 1999. doi:10.4203/ccp.57.6.1
Abstract
We report on a project on parallelizing parts of the software
library CASA for computing with and reasoning
about objects in algebraic geometry with applications
in computer aided geometric design and solid modeling.
CASA is implemented in the language of the computer
algebra system Maple; we therefore have developed "Distributed
Maple" as an environment for executing parallel
Maple programs on multiple computers of a network. Using
this environment, we have started the parallelization
of some important CASA algorithms; for a particular subproblem
we achieve a speedup of 15 on a heterogeneous
network with 24 processors distributed among PCs, workstations,
and shared memory multiprocessors.
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