| 000 | 05475nam a22006135i 4500 | ||
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| 001 | 978-3-540-24738-8 | ||
| 003 | DE-He213 | ||
| 005 | 20240423130116.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s2004 gw | s |||| 0|eng d | ||
| 020 |
_a9783540247388 _9978-3-540-24738-8 |
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| 024 | 7 |
_a10.1007/b96498 _2doi |
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| 050 | 4 | _aQA297-299.4 | |
| 072 | 7 |
_aPBKS _2bicssc |
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| 072 | 7 |
_aMAT041000 _2bisacsh |
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| 072 | 7 |
_aPBKS _2thema |
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| 082 | 0 | 4 |
_a518 _223 |
| 245 | 1 | 0 |
_aNumerical Software with Result Verification _h[electronic resource] : _bInternational Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers / _cedited by René Alt, Andreas Frommer, R. Baker Kearfott, Wolfram Luther. |
| 250 | _a1st ed. 2004. | ||
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2004. |
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| 300 |
_aIX, 315 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Computer Science, _x1611-3349 ; _v2991 |
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| 505 | 0 | _aLanguages -- OOP and Interval Arithmetic – Language Support and Libraries -- C-XSC 2.0 – A C++ Library for Extended Scientific Computing -- Software Systems and Tools -- Libraries, Tools, and Interactive Systems for Verified Computations Four Case Studies -- Multiple Precision Interval Packages: Comparing Different Approaches -- Interval Testing Strategies Applied to COSY’s Interval and Taylor Model Arithmetic -- New Verification Techniques Based on Interval Arithmetic -- Nonlinear Parameter and State Estimation for Cooperative Systems in a Bounded-Error Context -- Guaranteed Numerical Computation as an Alternative to Computer Algebra for Testing Models for Identifiability -- Interval Algorithms in Modeling of Multibody Systems -- Reliable Distance and Intersection Computation Using Finite Precision Geometry -- On Singular Interval Systems -- Applications in Science and Engineering -- Result-Verifying Solution of Nonlinear Systems in the Analysis of Chemical Processes -- Verified Numerical Analysis of the Performance of Switching Systems in Telecommunication -- Result Verification for Computational Problems in Geodesy -- Global Optimization in the COCONUT Project -- An Application of Wavelet Theory to Early Breast Cancer -- Novel Approaches to Verification -- Using PVS to Validate the Inverse Trigonometric Functions of an Exact Arithmetic -- Novel Approaches to Numerical Software with Result Verification -- Static Analysis-Based Validation of Floating-Point Computations. | |
| 520 | _aReliable 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. | ||
| 650 | 0 | _aNumerical analysis. | |
| 650 | 0 | _aSoftware engineering. | |
| 650 | 0 | _aCompilers (Computer programs). | |
| 650 | 0 | _aAlgorithms. | |
| 650 | 1 | 4 | _aNumerical Analysis. |
| 650 | 2 | 4 | _aSoftware Engineering. |
| 650 | 2 | 4 | _aCompilers and Interpreters. |
| 650 | 2 | 4 | _aAlgorithms. |
| 700 | 1 |
_aAlt, René. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 700 | 1 |
_aFrommer, Andreas. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 700 | 1 |
_aKearfott, R. Baker. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 700 | 1 |
_aLuther, Wolfram. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540212607 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662169278 |
| 830 | 0 |
_aLecture Notes in Computer Science, _x1611-3349 ; _v2991 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/b96498 |
| 912 | _aZDB-2-SCS | ||
| 912 | _aZDB-2-SXCS | ||
| 912 | _aZDB-2-LNC | ||
| 912 | _aZDB-2-BAE | ||
| 942 | _cSPRINGER | ||
| 999 |
_c185143 _d185143 |
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