Common LISP: the language
Parallelism and algorithms for algebraic manipulation: current work
ACM SIGSAM Bulletin
Parallel processors and systems for algebraic manipulation: current work
ACM SIGSAM Bulletin
Algebraic and symbolic manipulation of Poisson series
Journal of Symbolic Computation
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ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
Development of TRIP: fast sparse multivariate polynomial multiplication using burst tries
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
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A massively parallel processor proves to be a powerful tool for manipulating large Poisson series. Assuming the series to be sparse, as in most problems of non-linear dynamics, they map into the computer one term per processor. The parallel processor then executes the basic operations in the free algebra of Poisson series over the field of real or rational numbers. We describe a prototype Poisson series processor currently running on the Connection Machine. Timing the calculation of various expansions in the two-body problem demonstrates massive parallelism's potential for tackling the enormous symbolic calculations customary in non-linear dynamics.