Results 1 to 10 of about 179,143 (282)
Accounting for Round-Off Errors When Using Gradient Minimization Methods
Algorithms, 2022 This paper discusses a method for taking into account rounding errors when constructing a stopping criterion for the iterative process in gradient minimization methods.
Dmitry Lukyanenko +2 more
doaj +4 more sources
Periodicity and Transport from Round-Off Errors [PDF]
Experimental Mathematics, 1994 We investigate the effects of round-off errors on quasi-periodic motions in a linear symplectic planar map. By discretizing coordinates uniformly we transform this map into a permutation of Z2, and study motions near infinity, which correspond to a fine discretization. We provide numerical evidence that all orbits are periodic and that the averageorder
Franco Vivaldi
exaly +4 more sources
Applied Mathematics Letters, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jenn-Ching Luo
exaly +3 more sources
Balancing truncation and round-off errors in FEM: One-dimensional analysis
Journal of Computational and Applied Mathematics, 2021 In finite element methods, the accuracy of the solution cannot increase indefinitely since the round-off error related to limited computer precision increases when the number of degrees of freedom (DoFs) is large enough.
Henk Schuttelaars, Matthias Möller
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Estimation of Round-off Errors in OpenMP Codes [PDF]
International Workshop on OpenMP, 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.
Pacôme Eberhart +3 more
semanticscholar +2 more sources
Modeling Round-Off Errors in Hydrodynamic Simulations [PDF]
Lecture Notes in Computer Science, 2022 The growth of the computing capacities makes it possible to obtain more and more precise simulation results. These results are often calculated in binary64 with the idea that round-off errors are not significant. However, exascale is pushing back the known limits and the problems of accumulating round-off errors could come back and require increasing ...
Weens, William +2 more
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Round-Off Error Suppression by Statistical Averaging
AxiomsRegarding round-off errors as random is often a necessary simplification to describe their behavior. Assuming, in addition, the symmetry of their distributions, we show that one can, in unstable (ill-conditioned) computer calculations, suppress their ...
Andrej Liptaj
doaj +2 more sources
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.
Davide Faranda, M. Mestre, G. Turchetti
semanticscholar +8 more sources
Reducing round-off errors in symmetric multistep methods
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paola Console, E. Hairer
semanticscholar +3 more sources
Enhancing the learning of sports skills through verbal feedback [PDF]
Frontiers in Sports and Active LivingIntroductionA critical aspect of motor skill acquisition is the feedback provided to the learner. Numerous studies have attempted to identify the most effective approach to providing feedback to individuals in the process of learning or refining motor ...
Tomasz Niźnikowski +12 more
doaj +2 more sources