Results 11 to 20 of about 117,411 (298)
The effect of round-off error on long memory processes [PDF]
Studies in Nonlinear Dynamics & Econometrics, 2011 Abstract We study how the round-off (or discretization) error changes the statistical properties of a Gaussian long memory process. We show that the autocovariance and the spectral density of the discretized process are asymptotically rescaled by a factor smaller than one, and we compute exactly this scaling factor.
Gabriele La Spada, LILLO, FABRIZIO
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Relative distance—an error measure in round-off error analysis [PDF]
Mathematics of Computation, 1982 Olver ( SIAM J. Numer. Anal. , v. 15, 1978, pp. 368-393) suggested relative precision as an attractive substitute for relative error in round-off error analysis. He remarked that in certain respects the error measure
Abraham Ziv
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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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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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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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Tests of Methods that Control Round-Off Error
, 1968 Methods of controlling round-off error in one-step methods in the numerical solution of ordinary differential equations are compared. A new Algorithm called theoretical cumulative rounding is formulated. Round-off error bounds are obtained for single precision, and theoretical cumulative rounding.
Rasmuson, Dale M.
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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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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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Stochastic rounding: implementation, error analysis and applications
Royal Society Open Science, 2022 Stochastic rounding (SR) randomly maps a real number x to one of the two nearest values in a finite precision number system. The probability of choosing either of these two numbers is 1 minus their relative distance to x.
Matteo Croci +4 more
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An Improved Magnetic Field Method to Locate the Grounding Conductor
Sensors, 2023 The location of the grounding grid conductors is critical for performing corrosion diagnosis and maintenance work. An improved magnetic field differential method to locate the unknown grounding grid based on truncation errors and the round-off errors ...
Fan Yang +4 more
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