Numerical Validation in Current Hardware Architectures

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.