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Optimized continuous small line interpolation algorithm for high end CNC machine tools using a cross segment approach [PDF]
Scientific ReportsHigh-end CNC machine tools play a crucial role in modern manufacturing, requiring high precision and efficiency to meet complex machining demands. However, these systems face significant challenges, including the need to monitor multiple performance ...
Yi Xu, Mohd Hairi Mohd Zaman, Feng Zhou
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Some applications of Sigmoid functions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 In numerical analysis, the process of fitting a function via given data is called interpolation. Interpolation has many applications in engineering and science.
M. A. Jafari, A. Aminataei
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Numerical cubature on scattered data by adaptive interpolation
Journal of Computational and Applied MathematicsConstruimos métodos de cubatura sobre datos dispersos mediante remuestreo sobre el soporte de fórmulas de cubatura algebraicas conocidas, mediante diferentes tipos de interpolación adaptativa (polinomio, RBF, pum). Este enfoque ofrece una alternativa prometedora a otros métodos recientes, como la cubicatura directa sin malla por RBF o las fórmulas de ...
Roberto Cavoretto +2 more
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Caputo-Fabrizio approach to numerical fractional derivatives
Bibechana, 2023 Fractional calculus is an essential tool in every area of science today. This work gives the quadratic interpolation-based L1-2 formula for the Caputo-Fabrizio derivative, a numerical technique for approximating the fractional derivative.
Shankar Pariyar, Jeevan Kafle
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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An extension of Lagrange interpolation formula and its applications [PDF]
Mathematics and Computational Sciences, 2023 In this work, a new type of interpolation formula is introduced. These formulas can be an extension of the Lagrange interpolation formula. The error of this new type of interpolation is calculated. In order to display efficiency of the proposed formulas,
Mohammad Ali Jafari, Azim Aminataei
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Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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On the numerical Picard iterations with collocations for the initial value problem
Journal of Numerical Analysis and Approximation Theory, 2019 Some variants of the numerical Picard iterations method are presented to solve an IVP for an ordinary differential system. The term "numerical" emphasizes that a numerical solution is computed.
Ernest Scheiber
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Mathematics, 2020 The interpolation of Thiele-type continued fractions is thought of as the traditional rational interpolation and plays a significant role in numerical analysis and image interpolation.
Le Zou +5 more
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Some new kinds of interpolation formulas and its applications [PDF]
Mathematics and Computational Sciences, 2022 In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained.
M. A Jafari, A Aminataei
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