Chebyshev Interpolation Using Almost Equally Spaced Points and Applications in Emission Tomography
Mathematics, 2023 Since their introduction, Chebyshev polynomials of the first kind have been extensively investigated, especially in the context of approximation and interpolation.
Vangelis Marinakis +3 more
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
Some remarks on filtered polynomial interpolation at Chebyshev nodes
CoRR, 2021 The present paper concerns filtered de la Vallée Poussin (VP) interpolation at the Chebyshev nodes of the four kinds. This approximation model is interesting for applications because it combines the advantages of the classical Lagrange polynomial approximation (interpolation and polynomial preserving) with the ones of filtered approximation (uniform ...
Occorsio D, Themistoclakis W
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Linear barycentric rational collocation method for solving biharmonic equation
Demonstratio Mathematica, 2022 Two-dimensional biharmonic boundary-value problems are considered by the linear barycentric rational collocation method, and the unknown function is approximated by the barycentric rational polynomial.
Li Jin
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Rational interpolation to |x| at the Chebyshev nodes [PDF]
Bulletin of the Australian Mathematical Society, 1997 Recently the authors considered Newman-type rational interpolation to |x| induced by arbitrary sets of interpolation nodes and showed that under mild restrictions on the location of the interpolation nodes, the corresponding sequence of rational interpolants converges to |x|.
Brutman, Lev, Passow, Eli
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Node Local Similarity Based Two-stage Density Peaks Algorithm for Overlapping Community Detection [PDF]
Jisuanji kexue, 2022 In order to detect overlapping community structures in complex networks,the idea of density peaks clustering algorithm is introduced.However,applying the density peaks clustering algorithm to community detection still has problems such as how to measure ...
DUAN Xiao-hu, CAO Fu-yuan
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Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 In this study, an indirect method is proposed based on the Chebyshev pseudo-spectral method for solving optimal control problems governed by Burgers’ equation.
F. Mohammadizadeh +2 more
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Quadratures with multiple nodes for Fourier–Chebyshev coefficients
IMA Journal of Numerical Analysis, 2017 Gaussian quadrature formulas, relative to the Chebyshev weight functions, with multiple nodes and their optimal extensions for computing the Fourier coefficients in expansions of functions with respect to a given system of orthogonal polynomials, are considered. The existence and uniqueness of such quadratures is proved. One of them is a generalization
Milovanović, Gradimir +2 more
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The theorem about the transformer excitation current waveform mapping into the dynamic hysteresis loop branch for the sinusoidal magnetic flux case [PDF]
Serbian Journal of Electrical Engineering, 2015 This paper analyses aspects of the approximation theory application on the certain subsets of the measured samples of the transformer excitation current and the sinusoidal magnetic flux.
Petrović Nenad +2 more
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Three-dimensional path planning of unmanned aerial vehicle based on an improved D* algorithm
Xi'an Gongcheng Daxue xuebao, 2023 An improved D* algorithm was proposed to solve the problems of low efficiency and complex inflection points in three-dimensional path autonomous planning of unmanned aerial vehicle using traditional D* algorithm.
WANG Xiaoshuai, ZHU Qixin, ZHU Yonghong
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