书目名称 | Numerical Software with Result Verification |
副标题 | International Dagstu |
编辑 | René Alt,Andreas Frommer,Wolfram Luther |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Computer Science |
图书封面 |  |
描述 | 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 application |
出版日期 | Conference proceedings 2004 |
关键词 | C++ programming language; algorithms; computer algebra; floating-point computations; guaranteed numerica |
版次 | 1 |
doi | https://doi.org/10.1007/b96498 |
isbn_softcover | 978-3-540-21260-7 |
isbn_ebook | 978-3-540-24738-8Series ISSN 0302-9743 Series E-ISSN 1611-3349 |
issn_series | 0302-9743 |
copyright | Springer-Verlag Berlin Heidelberg 2004 |