Results 21 to 30 of about 179,143 (282)
Journal of Computational Design and Engineering, 2023 Feed rate scheduling is a critical step in computer numerical control (CNC) machining, as it has a close relationship with machining time and surface quality. It has now become a hot issue in both industry and academia.
Yifei Hu +7 more
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Mathematics, 2022 This paper is devoted to proposing a modified conjugate residual method for solving the generalized coupled Sylvester tensor equations. To further improve its convergence rate, we derive a preconditioned modified conjugate residual method based on the ...
Tao Li, Qing-Wen Wang, Xin-Fang Zhang
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Improved Modular Division Implementation with the Akushsky Core Function
Computation, 2022 The residue number system (RNS) is widely used in different areas due to the efficiency of modular addition and multiplication operations. However, non-modular operations, such as sign and division operations, are computationally complex.
Mikhail Babenko +2 more
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Enhancing single precision with quasi-double precision: achieving double-precision accuracy in the Model for Prediction Across Scales – Atmosphere (MPAS-A) version 8.2.1 [PDF]
Geoscientific Model DevelopmentThe limitations of high-performance computing (HPC) significantly constrain the development of numerical models. Traditional numerical models often employ double precision to ensure result accuracy, but this comes at a high computational cost.
J. Lai +6 more
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Rigorous Estimation of Floating-Point Round-Off Errors with Symbolic Taylor Expansions
World Congress on Formal Methods, 2015 Rigorous estimation of maximum floating-point round-off errors is an important capability central to many formal verification tools. Unfortunately, available techniques for this task often provide very pessimistic overestimates, causing unnecessary ...
A. Solovyev +3 more
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Ain Shams Engineering Journal, 2014 In this article, we present homotopy perturbation method, adomian decomposition method and differential transform method to obtain a closed form solution of the (1 + n)-dimensional Burgers’ equation.
Vineet K. Srivastava, Mukesh K. Awasthi
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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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Numerical integration of the Cauchy problem with non-singular special points
Discrete and Continuous Models and Applied Computational Science, 2023 Solutions of many applied Cauchy problems for ordinary differential equations have one or more multiple zeros on the integration segment. Examples are the equations of special functions of mathematical physics.
Aleksandr A. Belov, Igor V. Gorbov
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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
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Journal of Applied Mathematics, 2013 We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations A1XB1=C1, A2XB2=C2. The algorithm can obtain the bisymmetric solution with minimum Frobenius norm in finite iteration steps in the ...
Aijing Liu +2 more
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