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Fast cubature of volume potentials over rectangular domains [PDF]
, 2013 In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to ...
Lanzara, Flavia +2 more
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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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A Federated Derivative Cubature Kalman Filter for IMU-UWB Indoor Positioning
Sensors, 2020 The inertial measurement unit and ultra-wide band signal (IMU-UWB) combined indoor positioning system has a nonlinear state equation and a linear measurement equation.
Chengyang He, Chao Tang, Chengpu Yu
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Markov cubature rules for polynomial processes [PDF]
, 2019 We study discretizations of polynomial processes using finite state Markov processes satisfying suitable moment matching conditions. The states of these Markov processes together with their transition probabilities can be interpreted as Markov cubature ...
Filipović, Damir +2 more
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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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ISPRS International Journal of Geo-Information, 2022 This paper proposes an approach of target tracking of a ground target for UAVs using Optimal Two-Stage Cubature Kalman Filter and Improved Coordinated Lateral Guidance Law.
Wei Jiang, Yongxi Lyu, Jingping Shi
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Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries [PDF]
Computer Methods in Applied Mechanics and Engineering, 2021 This paper introduces the scaled boundary cubature (SBC) scheme for accurate and efficient integration of functions over polygons and two-dimensional regions bounded by parametric curves. Over two-dimensional domains, the SBC method reduces integration over a region bounded by $m$ curves to integration over $m$ regions (referred to as curved triangular
Eric B. Chin, N. Sukumar
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Mixed-Degree Cubature H∞ Information Filter-Based Visual-Inertial Odometry
Applied Sciences, 2018 Visual–inertial odometry is an effective system for mobile robot navigation. This article presents an egomotion estimation method for a dual-sensor system consisting of a camera and an inertial measurement unit (IMU) based on the cubature information ...
Chunlin Song, Xiaogang Wang, Naigang Cui
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Subperiodic trigonometric subsampling: A numerical approach [PDF]
, 2017 We show that Gauss-Legendre quadrature applied to trigonometric poly- nomials on subintervals of the period can be competitive with subperiodic trigonometric Gaussian quadrature. For example with intervals correspond- ing to few angular degrees, relevant
Sommariva, Alvise, Vianello, Marco
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A PERFORMANCE EVALUATION OF TRAPEZOIDAL VARIANTS FOR NUMERICAL CUBATURE
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2021 In this work, double integration cubature schemes of Trapezoid type have been focused. Recently, some derivative-based Trapezoid-type schemes have been proposed in literature incorporating derivatives at means of the limits of integration. We carry out the exhaustive performance evaluation of the existing closed Newton-Cotes Trapezoidal (CNCT) double ...
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