Results 31 to 40 of about 13,253 (243)
An Adaptive Filter for Nonlinear Multi-Sensor Systems with Heavy-Tailed Noise
Sensors, 2020 Aiming towards state estimation and information fusion for nonlinear systems with heavy-tailed measurement noise, a variational Bayesian Student’s t-based cubature information filter (VBST-CIF) is designed.
Xiangxiang Dong, Luigi Chisci, Yunze Cai
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Electric potential and field calculation of charged BEM triangles and rectangles by Gaussian cubature [PDF]
, 2016 It is a widely held view that analytical integration is more accurate than the numerical one. In some special cases, however, numerical integration can be more advantageous than analytical integration.
Glück, Ferenc, Hilk, Daniel
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Evaluating a double integral using Euler's method and Richardson extrapolation
Lietuvos Matematikos RinkinysWe transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13).
Justin Steven Calder Prentice
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Xibei Gongye Daxue Xuebao, 2022 The importance analysis of a structural system with distribution parameter uncertainty can identify key parameters that significantly affect its output performance, thus providing importance guidance for its design and optimization.
LIU Junchao, LI Luyi
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Numerical hyperinterpolation over nonstandard planar regions [PDF]
, 2017 We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a ...
Sommariva, Alvise, Vianello, Marco
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Tensor product approximations of high dimensional potentials [PDF]
, 2009 The paper is devoted to the efficient computation of high-order cubature formulas for volume potentials obtained within the framework of approximate approximations. We combine this approach with modern methods of structured tensor product approximations.
Lanzara, Flavia +2 more
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Discrete Fourier Analysis and Chebyshev Polynomials with $G_2$ Group [PDF]
, 2012 The discrete Fourier analysis on the $30^{\degree}$-$60^{\degree}$-$90^{\degree}$ triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group $G_2$, which leads to the definition of four ...
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004 The Feynman-Kac formula enables one to represent the solutions to certain parabolic partial differential equations (PDEs) as integrals over the Wiener space; as a consequence, when using a Monte-Carlo approach to approximate the solution of a parabolic PDE, one is led to approximate an integral over the Wiener space.
Lyons, T, Victoir, N
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Cubature Rules of Prescribed Merit [PDF]
SIAM Journal on Numerical Analysis, 1997 The aim of this paper is to provide a criterion for the evaluation of the integration rules, over an \(s\)-dimensional hypercube, relevant to integrands with a continuous periodic extension. The authors introduce the merit of a quadrature rule, which is closely related to its trigonometric degree.
Lyness, J. N., Sloan, I. H.
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Radon needlet thresholding [PDF]
, 2012 We provide a new algorithm for the treatment of the noisy inversion of the Radon transform using an appropriate thresholding technique adapted to a well-chosen new localized basis. We establish minimax results and prove their optimality.
Kerkyacharian, Gerard +2 more
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