Results 11 to 20 of about 73,280 (293)
Estimation of Round-off Errors in OpenMP Codes [PDF]
, 2016 It is crucial to control round-off error propagation in numerical simulations, because they can significantly affect computed results, especially in parallel codes like OpenMP ones. In this paper, we present a new version of the CADNA library that enables the numerical validation of OpenMP codes.
Eberhart, Pacôme +3 more
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Estimation of Round-Off Errors on Several Computers Architectures [PDF]
, 1996 JUCS - Journal of Universal Computer Science Volume Nr.
Asserrhine,Jalil +2 more
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ROUND-OFF ERRORS IN FLOATING-POINT ADDITIONS
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1985 Models of algorithms of floating-point addition are designed for chopping, correctly rounding and augmentation rounding arithmetics with finite-length accumulators. The chopping arithmetic is shown to match with the simplest software, which calculates round-off errors.
辻, 久美子, Tsuji, Kumiko
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Bounding the Round-Off Error of the Upwind Scheme for Advection [PDF]
IEEE Transactions on Emerging Topics in Computing, 2022 Numerical simulations are carefully-written programs, and their correctness is based on mathematical results. Nevertheless, those programs rely on floating-point arithmetic and the corresponding round-off errors are often ignored. This article deals with a specific simple scheme applied to advection, that is a particular equation from hydrodynamics ...
Louise Ben Salem-Knapp +2 more
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Revista Brasileira de Cartografia, 2018 This paper presents EPLSimp, an algorithm for map generalization that avoids the creation of topological inconsistencies. EPLSimp is based on Visvalingam-Whyatt's (VW) algorithm on which least "important" points are removed first.
Maurício G. Gruppi +4 more
doaj +3 more sources
Reducing round-off errors in rigid body dynamics
Journal of Computational Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vilmart, Gilles
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On the round-off error in the method of successive over-relaxation [PDF]
Mathematics of Computation, 1964 The asymptotic behavior of the round-off error, which accumulates when the well-known iterative method of (point) successive over-relaxation is used to solve a large-scale system of linear equations, is examined by means of a statistical model. The local round-off errors are treated as independent random variables and expressions for the mean and ...
M. Stuart Lynn
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ANALYSIS OF ROUND OFF ERRORS WITH REVERSIBILITY TEST AS A DYNAMICAL INDICATOR [PDF]
International Journal of Bifurcation and Chaos, 2012 We compare the divergence of orbits and the reversibility error for discrete time dynamical systems. These two quantities are used to explore the behavior of the global error induced by round off in the computation of orbits. The similarity of results found for any system we have analyzed suggests the use of the reversibility error, whose computation ...
Davide Faranda +2 more
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IET Science, Measurement & TechnologyThis research discusses the effects of large round‐off errors on the performance of control charts for means when a process is normally distributed with a known variance and a fixed sample size.
Benson‐Karhi Diamanta +3 more
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Generating formally certified bounds on values and round-off errors [PDF]
, 2004 International audienceWe present a new tool that generates bounds on the values and the round-off errors of programs using floating point operations. The tool is based on forward error analysis and interval arithmetic.
Melquiond, Guillaume, Daumas, Marc
core +4 more sources