Results 11 to 20 of about 84,372 (264)
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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Informatics, 2021 A first aim of the present work is the determination of the actual sources of the “finite precision error” generation and accumulation in two important algorithms: Bernoulli’s map and the folded Baker’s map.
Constantinos Chalatsis +4 more
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IEEE Access, 2022 This study developed a predictive direct torque control (PDTC) application-specific integrated circuit (ASIC) with a fuzzy proportional–integral–derivative (PID) controller and a new round-off calculation circuit for improving the ripple ...
Guo-Ming Sung +3 more
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QR Decomposition Based on Double-double Precision Gram-Schmidt Orthogonalization Method [PDF]
Jisuanji kexue, 2023 The Gram-Schmidt orthogonalization algorithm and its related modified algorithms often show numerical instability when computing ill-conditioned or large-scale matrices.To solve this problem,this paper explores the cumulative effect of round-off errors ...
JIN Jiexi, XIE Hehu, DU Peibing, QUAN Zhe, JIANG Hao
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Analytical solution of mass transport equation in river network [PDF]
مهندسی مکانیک شریف, 2022 In this study, by Laplace transform method, the analytical solution of the pollution transport equation in the limited domain for the river network to the upstream and downstream Dirichlet boundary conditions, and the initial condition of zero was ...
M.J. Fardadi Shilsar +2 more
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Mathematics, 2021 In the present paper, a novel approach is introduced for the study, estimation and exact tracking of the finite precision error generated and accumulated during any number of multiplications.
Constantin Papaodysseus +4 more
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Case Studies in Thermal Engineering, 2023 The vast majority of engineering issues, particularly heat transport equations, have a non-linear form. The analytical solution of temperature distribution, fin effectiveness, and fin efficiency of straight convective fins that transport heat with ...
S. Saravanakumar +5 more
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A rapidly convergent method for solving third-order polynomials
AIP Advances, 2022 We present a rapidly convergent method for solving cubic polynomial equations with real coefficients. The method is based on a power series expansion of a simplified form of Cardano’s formula using Newton’s generalized binomial theorem.
Ramón A. Fernández Molina +3 more
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A Phase-Fitted and Amplification-Fitted Explicit Runge–Kutta–Nyström Pair for Oscillating Systems
Mathematical and Computational Applications, 2021 An optimized embedded 5(3) pair of explicit Runge–Kutta–Nyström methods with four stages using phase-fitted and amplification-fitted techniques is developed in this paper.
Musa Ahmed Demba +3 more
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