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Lecture Notes in Computer Science

Numerical Software with Result Verification

International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers

Herausgeber: Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (Eds.)

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Über dieses Buch

Reliable computing techniques are essential if the validity of the output of a - merical algorithm is to be guaranteed to be correct. Our society relies more and more on computer systems. Usually, our systems appear to work successfully, but there are sometimes serious, and often minor, errors. Validated computing is one essential technology to achieve increased software reliability. Formal - gor in the de?nition of data types, the computer arithmetic, in algorithm design, and in program execution allows us to guarantee that the stated problem has (or does not have) a solution in an enclosing interval we compute. If the enclosure is narrow, we are certain that the result can be used. Otherwise, we have a clear warning that the uncertainty of input values might be large and the algorithm and the model have to be improved. The use of interval data types and al- rithms with controlled rounding and result veri?cation capture uncertainty in modeling and problem formulation, in model parameter estimation, in algorithm truncation, in operation round-o?, and in model interpretation. The techniques of validated computing have proven their merits in many scienti?c and engineering applications. They are based on solid and interesting theoretical studies in mathematics and computer science. Contributions from ?elds including real, complex and functional analysis, semigroups, probability, statistics,fuzzyintervalanalysis,fuzzylogic,automaticdi?erentiation,computer hardware, operating systems, compiler construction, programming languages, object-oriented modeling, parallel processing, and software engineering are all essential.

Inhaltsverzeichnis (18 Kapitel)

  • OOP and Interval Arithmetic – Language Support and Libraries

    Gudenberg, Jürgen Wolff

    Seiten 1-14

  • C-XSC 2.0 – A C++ Library for Extended Scientific Computing

    Hofschuster, Werner (et al.)

    Seiten 15-35

  • Libraries, Tools, and Interactive Systems for Verified Computations Four Case Studies

    Kearfott, R. Baker (et al.)

    Seiten 36-63

  • Multiple Precision Interval Packages: Comparing Different Approaches

    Grimmer, Markus (et al.)

    Seiten 64-90

  • Interval Testing Strategies Applied to COSY’s Interval and Taylor Model Arithmetic

    Corliss, George F. (et al.)

    Seiten 91-106

Dieses Buch kaufen

eBook 59,49 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-540-24738-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 74,89 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-540-21260-7
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Numerical Software with Result Verification
Buchuntertitel
International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers
Herausgeber
  • René Alt
  • Andreas Frommer
  • R. Baker Kearfott
  • Wolfram Luther
Titel der Buchreihe
Lecture Notes in Computer Science
Buchreihen Band
2991
Copyright
2004
Verlag
Springer-Verlag Berlin Heidelberg
Copyright Inhaber
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-24738-8
DOI
10.1007/b96498
Softcover ISBN
978-3-540-21260-7
Buchreihen ISSN
0302-9743
Auflage
1
Seitenzahl
IX, 315
Themen