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October 2009 Computer Algebra for Guaranteed Accuracy. How Does It Help?
Masaaki Kanno, Hirokazu Anai
Japan J. Indust. Appl. Math. 26(2-3): 517-530 (October 2009).

Abstract

Today simulation technologies (based on numerical computation) aredefinitely vital in many fields of science and engineering.The accuracy of numerical simulations grows in importance as simulationtechnologies develop and prevail, and many researches have been carriedout for establishing numerically stable algorithms.In recent years, combining computer algebra and other guaranteedaccuracy approaches draws much attention as one of promising directionsfor developing guaranteed accuracy algorithms for a wider class ofproblems. This paper illustrates several typical usages of symbolic andalgebraic methods for guaranteed accuracy computation, highlightingsome of the recent applications in control problems.

Citation

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Masaaki Kanno. Hirokazu Anai. "Computer Algebra for Guaranteed Accuracy. How Does It Help?." Japan J. Indust. Appl. Math. 26 (2-3) 517 - 530, October 2009.

Information

Published: October 2009
First available in Project Euclid: 1 February 2010

zbMATH: 1191.68889
MathSciNet: MR2589488

Rights: Copyright © 2009 The Japan Society for Industrial and Applied Mathematics

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Vol.26 • No. 2-3 • October 2009
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