Numerical Validation in Current Hardware Architectures

International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 6-11, 2008, Revised Papers
2009
ISBN: 978-3-642-01590-8
Verlag: Springer

Buch, Englisch, Band 5492, 263 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 423 g

Reihe: Theoretical Computer Science and General Issues

This 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.

Zielgruppe

Research

Autoren/Hrsg.

Cuyt, Annie A. M.

Markstein, Peter

Krämer, Walter

Luther, Wolfram

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein

Inhaltsverzeichnis

Standardization/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.