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Numerical Software with Result Verification - International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers (Paperback, 2004 ed.)
Loot Price: R1,656
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Numerical Software with Result Verification - International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers (Paperback, 2004 ed.)
Series: Lecture Notes in Computer Science, 2991
Expected to ship within 10 - 15 working days
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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 essent
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