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Curve and Surface Construction Using Hermite Trigonometric Interpolant
Mathematical and Computational Applications, 2021 In this paper, the constructions of both open and closed trigonometric Hermite interpolation curves while using the derivatives are presented. The combination of tension, continuity, and bias control is used as a very powerful type of interpolation; they
Fatima Oumellal, Abdellah Lamnii
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Cubic Trigonometric Hermite Interpolation Curve: Construction, Properties, and Shape Optimization
Journal of Function Spaces, 2022 Cubic Hermite interpolation curve plays a very important role in interpolation curves modeling, but it has three shortcomings including low continuity, difficult shape adjustment, and the inability to accurately represent some common engineering curves ...
Juncheng Li, Chengzhi Liu
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Mathematics, 2023 In this paper, we focus on the numerical solution of the second kind of Volterra integral equation with a highly oscillatory Fourier kernel. Based on the calculation of the modified moments, we propose four collocation methods to solve the equations ...
Jianyu Wang, Chunhua Fang, Guifeng Zhang
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A note on optimal Hermite interpolation in Sobolev spaces
Journal of Inequalities and Applications, 2022 This paper investigates the optimal Hermite interpolation of Sobolev spaces W ∞ n [ a , b ] $W_{\infty }^{n}[a,b]$ , n ∈ N $n\in \mathbb{N}$ in space L ∞ [ a , b ] $L_{\infty }[a,b]$ and weighted spaces L p , ω [ a , b ] $L_{p,\omega }[a,b]$ , 1 ≤ p < ∞ $
Guiqiao Xu, Xiaochen Yu
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Multidimensional Hermite interpolation
Sibirskie Elektronnye Matematicheskie Izvestiya, 2023 The Lagrange and Hermite interpolation formulas belong to the class of algebraic interpolations. Recently, the concept of algebraic interpolations has been obtained a close attention due to interpolation theory for functions in several variables. This paper deals with the multidimensional variant of Hermite interpolations.
Durakov, Matvey E. +2 more
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The EH Interpolation Spline and Its Approximation
Abstract and Applied Analysis, 2014 A new interpolation spline with two parameters, called EH interpolation spline, is presented in this paper, which is the extension of the standard cubic Hermite interpolation spline, and inherits the same properties of the standard cubic Hermite ...
Jin Xie, Xiaoyan Liu
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Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations
Mathematics, 2023 With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science.
Archna Kumari, Vijay K. Kukreja
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Piecewise Bivariate Hermite Interpolations for Large Sets of Scattered Data
Journal of Applied Mathematics, 2013 The requirements for interpolation of scattered data are high accuracy and high efficiency. In this paper, a piecewise bivariate Hermite interpolant satisfying these requirements is proposed.
Renzhong Feng, Yanan Zhang
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A class of quintic Hermite interpolation curve and the free parameters selection
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019 The classical C2 quintic Hermite interpolation curve not only needs the positions and derivatives but also needs the second-order derivatives as input. For most applications, one has to estimate the second-order derivatives in advance.
Juncheng LI
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Applied Sciences, 2021 As for industrial robots’ point-to-point joint motion planning with constrained velocity, cubic polynomial planning has the problem of discontinuous acceleration; quintic polynomial planning requires acceleration to be specified in advance, which will ...
Yasong Pu +4 more
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