Results 1 to 10 of about 337,061 (308)

Optimized continuous small line interpolation algorithm for high end CNC machine tools using a cross segment approach [PDF]

Scientific Reports
High-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
doaj   +2 more sources

Numerical continued fraction interpolation

Ukrains’kyi Matematychnyi Zhurnal
UDC 517.524 We show that highly accurate approximations can often be obtained by constructing Thiele interpolating continued fractions by a Greedy selection of the interpolation points together with an early termination condition. The obtained results are comparable with the outcome of state-of-the-art rational interpolation techniques based on the ...
Oliver Salazar Celis
openaire   +5 more sources

Numerical solution of a coupled Burgers' equation via barycentric interpolation collocation method

Electronic Research Archive
In this study, the numerical solution of a two-dimensional coupled Burgers' equation is investigated by the barycentric interpolation collocation method. The spatial-temporal domain of the equation is made discrete by employing barycentric interpolation,
Xiumin Lyu, Jin Li, Wanjun Song
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Interpolation Concept in Numerical Computations

International Journal for Research in Applied Science and Engineering Technology, 2019
Vishal Vaman Mehtre Mehtre
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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
doaj   +1 more source

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
doaj   +3 more sources

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., Boltaev, A.K., Parovik, R.I.   +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
doaj   +1 more source

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
doaj   +7 more sources

Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications

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
doaj   +1 more source