An Assessment of the Efficiency of Computer Algebra Systems in the Solution of Scientific Computing Problems

Victor G. Ganzha (), Evgenii V. Vorozhtsov () and Michael Wester ()
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Victor G. Ganzha: Technical University of Munich, Institute of Informatics
Evgenii V. Vorozhtsov: Russian Academy of Sciences, Institute of Theoretical and Applied Mechanics
Michael Wester: Cotopaxi, 1801 Quincy, SE

A chapter in Computer Algebra in Scientific Computing, 2000, pp 145-166 from Springer

Abstract: Abstract Computer algebra systems (CASs) have become an important tool for the solution of scientific computing problems. With the increasing number of general purpose CASs, there is now a need for an assessment of the efficiency of these systems. We discuss some peculiarities associated with the analysis of CPU time efficiency in CASs, and then present results from three specific systems (Maple Vr5, Mathematica 4.0 and MuPAD 1.4) on a sample of intermediate size problems. These results show that Maple Vr5 is generally the speediest on our examples. Finally, we formulate some requirements for developing a comprehensive test suite for analyzing the efficiency of CASs.

Keywords: Grid Node; Quadrature Rule; Symbolic Computation; Scientific Computing; Computer Algebra System (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-57201-2_13

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DOI: 10.1007/978-3-642-57201-2_13

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