Numerical Software with Result Verification : International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers

Language: English

Published by Springer, 2004

3540212604 / 9783540212607

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Druck auf Anfrage Neuware - Printed after ordering - 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.…

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Title
Numerical Software with Result Verification : International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers
Author
Wolfram Luther
Publisher
Springer
Publication year
2004
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540212604
ISBN 13
9783540212607
Item weight
505 grams
Dimensions
235x155x19 mm

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