A radix-independent error analysis of the Cornea-Harrison-Tang method [PDF]
, 2016 International audienceAssuming floating-point arithmetic with a fused multiply-add operation and rounding to nearest, the Cornea-Harrison-Tang method aims to evaluate expressions of the form $ab+cd$with high relative accuracy.
Jeannerod, Claude-Pierre
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New Approach for a Weibull Distribution under the Progressive Type-II Censoring Scheme
Mathematics, 2020 This paper proposes a new approach based on the regression framework employing a pivotal quantity to estimate unknown parameters of a Weibull distribution under the progressive Type-II censoring scheme, which provides a closed form solution for the shape
Jung-In Seo +2 more
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Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner [PDF]
, 2017 We investigate the eigenvalue problem $-\text{div}(\sigma \nabla u) = \lambda u\ (\mathscr{P})$ in a 2D domain $\Omega$ divided into two regions $\Omega_{\pm}$.
Chesnel, Lucas +2 more
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Stochastic rounding and reduced-precision fixed-point arithmetic for solving neural ordinary differential equations [PDF]
, 2020 Although double-precision floating-point arithmetic currently dominates high-performance computing, there is increasing interest in smaller and simpler arithmetic types.
Furber, Steve +3 more
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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 d ( x ¯ , x ) = min { α
openaire +1 more source
A Note on the Perturbation of arithmetic expressions
مجلة بغداد للعلوم, 2016 In this paper we present the theoretical foundation of forward error analysis of numerical algorithms under;• Approximations in "built-in" functions.• Rounding errors in arithmetic floating-point operations.• Perturbations of data.The error analysis is ...
Baghdad Science Journal
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Measurement rounding errors in an assessment model of project led Engineering Education [PDF]
, 2009 This paper analyzes the rounding errors that occur in the assessment of an interdisciplinary Project-Led Education (PLE) process implemented in the Integrated Master degree on Industrial Management and Engineering (IME) at University of Minho. PLE is
Alves, Anabela Carvalho +4 more
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Specific Heat of Liquid Helium in Zero Gravity very near the Lambda Point [PDF]
, 2003 We report the details and revised analysis of an experiment to measure the specific heat of helium with subnanokelvin temperature resolution near the lambda point.
A. Haupt +60 more
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Exploiting structure in floating-point arithmetic [PDF]
, 2015 Invited paper - MACIS 2015 (Sixth International Conference on Mathematical Aspects of Computer and Information Sciences)International audienceThe analysis of algorithms in IEEE floating-point arithmetic is most often carried out via repeated applications
Jeannerod, Claude-Pierre
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Error Analysis of Band Matrix Method [PDF]
, 1984 Numerical error in the solution of the band matrix method based on the elimination method in single precision is investigated theoretically and experimentally, and the behaviour of the truncation error and the roundoff error is clarified.
Soga, Akira, Taniguchi, Takeo
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