Results 41 to 50 of about 16,329 (217)
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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Valuing American Put Options Using Chebyshev Polynomial Approximation [PDF]
, 2005 This paper suggests a simple valuation method based on Chebyshev approximation at Chebyshev nodes to value American put options. It is similar to the approach taken in Sullivan (2000), where the option`s continuation region function is estimated by using
Caporale, GM, Cerrato, M
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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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Discontinuous collocation methods and gravitational self-force applications
, 2021 Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole perturbation ...
Barack, Leor +3 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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Bernstein basis functions based algorithm for solving system of third order initial value problems
Alexandria Engineering Journal, 2021 For obtaining numerical solutions of the system of ordinary differential equations (ODEs) of third order, a new numerical technique is proposed by using operational matrices of Bernstein polynomials.
Rida Malik +6 more
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Using Chebyshev polynomials to approximate partial differential equations [PDF]
, 2008 This paper suggests a simple method based on a Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. It consists in determining the value function by using a set of nodes and basis functions.
Caporale, Guglielmo Maria +1 more
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Discrete orthogonal polynomials on Gauss–Lobatto Chebyshev nodes
Journal of Approximation Theory, 2007 This paper deals with explicit formulas for discrete orthogonal polynomials over the so-called Gauss-Lobatto Chebyshev nodes \[ X_n=\{x_k=-\cos((k-1)\pi/(n-1))\},\quad k=1, 2, \ldots ,n. \] The orthogonal polynomials \(p_k(x)\) (\(k=1, 2, \dots ,n\)) with respect to the discrete inner product \(\langle f,g\rangle=\sum_{k=1}^nf(x_k)g(x_k)\) on the set \(
Eisinberg A, FEDELE, Giuseppe
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 A constructive technique of analysis involving parametrisation and polynomial interpolation is suggested for general non-local problems for ordinary differential systems with locally Lipschitzian transcendental non-linearities.
András Rontó +2 more
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A generalization of Hermite interpolation
International Journal of Mathematics and Mathematical Sciences, 1997 We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
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