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Published by Society for Industrial and Applied Mathematics, 2009
ISBN 10: 0898716691 ISBN 13: 9780898716696
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Published by Chapman and Hall/CRC, 2009
ISBN 10: 1420091573 ISBN 13: 9781420091571
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Published by Society for Industrial and Applied Mathematics, 2009
ISBN 10: 0898716691 ISBN 13: 9780898716696
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Published by Society for Industrial and Applied Mathematics, 2009
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Published by Society for Industrial and Applied Mathematics, 2009
ISBN 10: 0898716691 ISBN 13: 9780898716696
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ISBN 10: 0898716691 ISBN 13: 9780898716696
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Paperback. Condition: New. This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years. An update of Ramon Moore's previous books on the topic, it provides broad coverage of the subject as well as the historical perspective of one of the originators of modern interval analysis. The authors provide a hands-on introduction to INTLAB, a high-quality, comprehensive MATLAB® toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB.Readers will find the following features of interest: elementary motivating examples and notes that help maximize the reader's chance of success in applying the techniques; exercises and hands-on MATLAB-based examples woven into the text; INTLAB-based examples and explanations integrated into the text, along with a comprehensive set of exercises and solutions, and an appendix with INTLAB commands; an extensive bibliography and appendices that will continue to be valuable resources once the reader is familiar with the subject; and a Web page with links to computational tools and other resources of interest.
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Published by Society for Industrial and Applied Mathematics, 2009
ISBN 10: 0898716691 ISBN 13: 9780898716696
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First Edition
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Taschenbuch. Condition: Neu. 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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