LEADER 04061nam 22005775 450 001 996466025703316 005 20230405234206.0 010 $a3-642-01591-3 024 7 $a10.1007/978-3-642-01591-5 035 $a(CKB)1000000000718139 035 $a(SSID)ssj0000319248 035 $a(PQKBManifestationID)11232862 035 $a(PQKBTitleCode)TC0000319248 035 $a(PQKBWorkID)10336833 035 $a(PQKB)11706130 035 $a(DE-He213)978-3-642-01591-5 035 $a(MiAaPQ)EBC3064165 035 $a(PPN)134131541 035 $a(EXLCZ)991000000000718139 100 $a20100301d2009 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNumerical Validation in Current Hardware Architectures$b[electronic resource] $eInternational Dagstuhl Seminar, Dagstuhl Castle, Germany, January 6-11, 2008, Revised Papers /$fedited by Annie A.M. Cuyt, Walter Krämer, Wolfram Luther, Peter Markstein 205 $a1st ed. 2009. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009. 215 $a1 online resource (XII, 263 p.) 225 1 $aTheoretical Computer Science and General Issues,$x2512-2029 ;$v5492 300 $aInternational conference proceedings. 311 $a3-642-01590-5 320 $aIncludes bibliographical references and index. 327 $aStandardization/Hardware -- Discussions on an Interval Arithmetic Standard at Dagstuhl Seminar 08021 -- Complete Interval Arithmetic and Its Implementation on the Computer -- Tools -- Continued Fractions for Special Functions: Handbook and Software -- A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range -- C-XSC and Closely Related Software Packages -- Extending the Range of C-XSC: Some Tools and Applications for the Use in Parallel and Other Environments -- Mathematica Connectivity to Interval Libraries filib++ and C-XSC -- Applications -- Some Applications of Interval Arithmetic in Hierarchical Solid Modeling -- Numerical Verification Assessment in Computational Biomechanics -- Robustness of Boolean Operations on Subdivision-Surface Models -- Towards the Development of an Interval Arithmetic Environment for Validated Computer-Aided Design and Verification of Systems in Control Engineering -- Distributed Bounded-Error Parameter and State Estimation in Networks of Sensors -- Error Bounds for Lanczos Approximations of Rational Functions of Matrices -- Linear Systems -- Error-Free Transformation in Rounding Mode toward Zero -- Fast (Parallel) Dense Linear System Solvers in C-XSC Using Error Free Transformations and BLAS -- A Note on Solving Problem 7 of the SIAM 100-Digit Challenge Using C-XSC. 330 $aThis book constitutes the thoroughly refereed post-proceedings of the Dagstuhl Seminar 08021 on Numerical Validation in Current Hardware Architectures held at Dagstuhl Castle, Germany, in January 2008. The 16 revised full papers presented were selected during two rounds of reviewing and improvements. The papers are organized in topical sections on languages, software systems and tools, new verification techniques based on interval arithmetic, applications in science and engineering, and novel approaches to verification. 410 0$aTheoretical Computer Science and General Issues,$x2512-2029 ;$v5492 606 $aComputer science 606 $aComputer Science 615 0$aComputer science. 615 14$aComputer Science. 676 $a004 686 $aDAT 520f$2stub 686 $aSS 4800$2rvk 702 $aCuyt$b Annie A.M$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKrämer$b Walter$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLuther$b Wolfram$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMarkstein$b Peter$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a996466025703316 996 $aNumerical Validation in Current Hardware Architectures$9774163 997 $aUNISA