000 05276nam a22005895i 4500
001 978-3-540-24738-8
003 DE-He213
005 20160624101906.0
007 cr nn 008mamaa
008 121227s2004 gw | s |||| 0|eng d
020 _a9783540247388
_9978-3-540-24738-8
024 7 _a10.1007/b96498
_2doi
050 4 _aQA297-299.4
072 7 _aUYA
_2bicssc
072 7 _aCOM051300
_2bisacsh
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.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2004.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2004.
300 _aIX, 315 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Computer Science,
_x0302-9743 ;
_v2991
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 _aComputer science.
650 0 _aSoftware engineering.
650 0 _aComputer software.
650 0 _aElectronic data processing.
650 0 _aNumerical analysis.
650 1 4 _aComputer Science.
650 2 4 _aNumeric Computing.
650 2 4 _aSoftware Engineering.
650 2 4 _aProgramming Languages, Compilers, Interpreters.
650 2 4 _aAlgorithm Analysis and Problem Complexity.
650 2 4 _aMathematical Software.
650 2 4 _aNumerical Analysis.
700 1 _aAlt, René.
_eeditor.
700 1 _aFrommer, Andreas.
_eeditor.
700 1 _aKearfott, R. Baker.
_eeditor.
700 1 _aLuther, Wolfram.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540212607
786 _dSpringer
830 0 _aLecture Notes in Computer Science,
_x0302-9743 ;
_v2991
856 4 0 _uhttp://dx.doi.org/10.1007/b96498
942 _2EBK3158
_cEBK
999 _c32452
_d32452