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Is Floating-Point Arithmetic Still Adequate?

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Systems Analysis and Simulation I

Part of the book series: Advances in Simulation ((ADVS.SIMULATION,volume 1))

Summary

For complicated numerical problems, the error analysis has to be performed by the computer. Several methods for automated error analysis are known. Floating-point arithmetic has to be augmented and programming languages for scientific computation have to be provided (PASCAL-SC and FORTRAN-SC) for that purpose.

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References

  1. Alefeld, G., Herzberger, J.: Introduction to Interval Computations. Academic Press, 1983.

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  2. ANSI/IEEE Std. 754-1985, Binary Floating-Point Arithmetic, New York, Aug. 1985.

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  3. Bleher, J. H., Kulisch, U., Metzger, M., Rump, S. M., Ullrich, Ch., Walter, W.: FORTRAN-SC: A Study Of A FORTRAN Extension For Engineering / Scientific Computation With Access To ACRITH. Computing 39, Nov. 1987 (pp. 93–110).

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  4. Bohlender, G., Ullrich, Ch., Wolff, V. Gudenberg, J., Rall, L. B.: PASCAL-SC: A Computer Language for Scientific Computation. Academic Press, Orlando, 1987.

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  5. Kaucher, E., Kulisch, U., Ullrich, Ch. (eds.): Computerarithmetic: Scientific Computation and Programming Languages. Teubner Verlag, Stuttgart, 1987.

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  6. Kulisch, U. (ed.): PASCAL-SC: A PASCAL Extension for Scientific Computation. Information Manual and Floppy Disks. Teubner Verlag, Stuttgart, 1987 (version for Atari ST) / Wiley-Teubner Series in Computer Science, 1987 (version for IBM PC).

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  7. Vignes, J., Alt, R.: An Efficient Stochastic Method for Round-Off Error Analysis. In: Miranker, Toupin (eds.): Accurate Scientific Computation. Springer Verlag, Lecture Notes CS 235, 183–205, 1986

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Karlsruhe, Kaiserstr. 12, D-7500, Karlsruhe, West Germany

    Gerd Bohlender

Authors
  1. Gerd Bohlender
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Editor information

Editors and Affiliations

  1. Akademie der Wissenschaften der DDR, Zentralinstitut für Kybernetik und Informationsprozesse, Berlin, GDR

    Achim Sydow

  2. Computer Engineering Division, National Technical University of Athens, Athens, Greece

    Spyros G. Tzafestas

  3. Department of Computer Science, Rutgers University, New Brunswick, NJ, USA

    Robert Vichnevetsky

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© 1988 Akademie-Verlag Berlin

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Bohlender, G. (1988). Is Floating-Point Arithmetic Still Adequate?. In: Sydow, A., Tzafestas, S.G., Vichnevetsky, R. (eds) Systems Analysis and Simulation I. Advances in Simulation, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6389-7_18

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  • DOI: https://doi.org/10.1007/978-1-4684-6389-7_18

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97091-2

  • Online ISBN: 978-1-4684-6389-7

  • eBook Packages: Springer Book Archive

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