Lecture Notes in Computer Science

Numerical Software with Result Verification

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

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

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About this book

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.

Table of contents (18 chapters)

  • OOP and Interval Arithmetic – Language Support and Libraries

    Gudenberg, Jürgen Wolff

    Pages 1-14

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

    Hofschuster, Werner (et al.)

    Pages 15-35

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

    Kearfott, R. Baker (et al.)

    Pages 36-63

  • Multiple Precision Interval Packages: Comparing Different Approaches

    Grimmer, Markus (et al.)

    Pages 64-90

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

    Corliss, George F. (et al.)

    Pages 91-106

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-3-540-24738-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-540-21260-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Software with Result Verification
Book Subtitle
International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers
Editors
  • René Alt
  • Andreas Frommer
  • R. Baker Kearfott
  • Wolfram Luther
Series Title
Lecture Notes in Computer Science
Series Volume
2991
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-24738-8
DOI
10.1007/b96498
Softcover ISBN
978-3-540-21260-7
Series ISSN
0302-9743
Edition Number
1
Number of Pages
IX, 315
Topics