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Advanced Information Processing pp 3–14Cite as

New Application Related Developments in Informatics with Verified Results

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Summary

For several scientific and technical applications we need computed results that can be automatically verified during the computing time. New Developments in Computer Science are Computer Algebra Systems and Highly Accurate Arithmetics with special Rounding Operations including Rounding Errors. The combining of Computer Algebra and Accurate Arithmetics with variable word length leads to a new class of hybrid methods producing verified results. The main ideas of these hybrid methods are explained and some examples are shown.

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References

  1. Jenks and others Scratchpad II: An Abstract Datatype System for Mathematical Computation, Mathematical Aspects of Scientific Software, Springer New York (1989)

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  2. Krückeberg Arbitrary Accuracy with Variable Precision Arithmetic. In: Interval Mathematics 1985, Lecture Notes in Computer Science 212, Hrsg.: K. Nickel, Springer Verlag 1985.

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  4. Leisen Zur Erzielung variabel vorgebbarer Fehlereinschließungen für gewöhnliche Differentialgleichungen mit Anfangswertmengen mittels dynamisch steuerbarer Arithmetik. Diplomarbeit Universität Bonn, 1985

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  5. Schwarz Symmetries of Differential equations from Sophus Lie to Computer Algebra, SIAM Review, 30 (1988)

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Author information

Authors and Affiliations

  1. Gesellschaft für Mathematik und Datenverarbeitung, Germany

    F. Krückeberg

Authors
  1. F. Krückeberg
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Editor information

Editors and Affiliations

  1. Corporate Research and Development, Applied Computer Science and Software, Siemens AG, Munich, Germany

    Heinz Schwärtzel

  2. Institute of Informatics Problems, Academy of Sciences of the USSR, Moscow, USSR

    Igor A. Mizin (Corresponding Member of the Academy of Sciences of the USSR) (Corresponding Member of the Academy of Sciences of the USSR)

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© 1990 Springer-Verlag Berlin Heidelberg

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Cite this paper

Krückeberg, F. (1990). New Application Related Developments in Informatics with Verified Results. In: Schwärtzel, H., Mizin, I.A. (eds) Advanced Information Processing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93464-3_1

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  • DOI: https://doi.org/10.1007/978-3-642-93464-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52683-4

  • Online ISBN: 978-3-642-93464-3

  • eBook Packages: Springer Book Archive

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