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Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systems

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Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 19))

Abstract

We propose a use of some multiple-precision systems for numerical analysis of ill-conditioned problems, and we show efficiency of the systems through numerical examples. We also introduce the F-system which is a fast multiple-precision system designed by one of the authors.

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References

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Author information

Authors and Affiliations

  1. Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto, 606-8501, Japan

    Yuusuke Iso & Hiroshi Fujiwara

  2. IBM Japan, Ltd., Japan

    Kimihiro Saito

Authors
  1. Yuusuke Iso
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  2. Hiroshi Fujiwara
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  3. Kimihiro Saito
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Editor information

Editors and Affiliations

  1. Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, WRW 215, C0600, Austin, Texas, 78712-1085, USA

    Ivo Babuška

  2. Laboratoire d’Analyse Numérique, Université Pierre et Marie Curie, Boîte courrier 187, 75252, Paris cedex 05, France

    Philippe G. Ciarlet

  3. Department of Mathematical Sciences, Faculty of Science, Yamaguchi University, Yoshida 1677-1, 753-8512, Yamaguchi, Japan

    Tetsuhiko Miyoshi

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© 2002 Springer-Verlag Berlin Heidelberg

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Iso, Y., Fujiwara, H., Saito, K. (2002). Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systems. In: Babuška, I., Ciarlet, P.G., Miyoshi, T. (eds) Mathematical Modeling and Numerical Simulation in Continuum Mechanics. Lecture Notes in Computational Science and Engineering, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56288-4_13

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  • DOI: https://doi.org/10.1007/978-3-642-56288-4_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42399-7

  • Online ISBN: 978-3-642-56288-4

  • eBook Packages: Springer Book Archive

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