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Titlebook: Numerical Validation in Current Hardware Architectures; International Dagstu Annie Cuyt,Walter Krämer,Peter Markstein Conference proceeding

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Connectivity to Interval Libraries filib, and C-XSCe natively in one of the software packages. In this work we present the integration of programs based on the interval libraries . and C-XSC into . via . communication protocol. On some small easily readable programs we demonstrate: i) some details of . technology, ii) the transparency of numerical d
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Some Applications of Interval Arithmetic in Hierarchical Solid Modelings. The use of such techniques can eliminate the need to trace bounds for the error function separately..In this paper, we show how the techniques and algorithms of reliable computing can be applied to the construction and further processing of hierarchical solid representations, using the octree mod
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Numerical Verification Assessment in Computational Biomechanics surgical planning for the human skeletal system. We address verification and validation assessment in PROREOP with special emphasis on numerical accuracy and performance. To assess numerical accuracy, we propose to employ graded instruments, including accuracy tests and error analysis. The use of s
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Towards the Development of an Interval Arithmetic Environment for Validated Computer-Aided Design ansystems with uncertainties is given. In addition to robust pole assignment for linear dynamical systems with parameter uncertainties, mathematical system models and computational techniques are considered in which constraints for both state and control variables are taken into account. For that purp
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Error Bounds for Lanczos Approximations of Rational Functions of Matricestions. In this paper we consider the case that . is Hermitian and that . is a rational function. We assume that the Lanczos method is used to compute approximations for .(.). and we show how to obtain a posteriori upper and lower bounds on the ℓ.-norm of the approximation error. These bounds are com
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Error-Free Transformation in Rounding Mode toward Zerore well suited for the CELL processor. We prove that these transformations are error-free, and we perform numerical experiments on the CELL processor comparing these new error-free transformations with the classic ones.
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hy based Approaches (SEMG) have been used to satisfy the purpose of providing Bio-Signal control in upper extremity Prosthesis. Although these methods have been shown to be robust, there still exists issues in performance within clinical environments. In recent years, Ultrasound signal based methods
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