Results 91 to 100 of about 13,253 (243)
Numerical cubature from Archimedes' hat-box theorem
, 2004 Archimedes' hat-box theorem states that uniform measure on a sphere projects to uniform measure on an interval. This fact can be used to derive Simpson's rule.
Kuperberg, Greg
core
Osculatory and Hyperosculatory Cubature Formulas [PDF]
Mathematics of Computation, 1977 Osculatory and hyperosculatory cubature formulas for a rectangular region, employing the function with either first, or first and second partial derivatives, were obtained together with dominant remainder terms involving higher derivatives at one point, providing exact accuracy through the fifth (seventh) degree without (with) remainders.
openaire +2 more sources
A Novel Weighted Unscented Kalman Filter for Dynamic Load Identification
Structural Control and Health Monitoring, Volume 2026, Issue 1, 2026.To address the limitations of traditional unscented Kalman filter (UKF)‐based algorithms—which typically require either additional displacement measurements or iterative optimization for load identification—this study proposes a fast and convenient load excitation identification algorithm.
Yanzhe Zhang +4 more
wiley +1 more source
Cubature formula and interpolation on the cubic domain
, 2008 Several cubature formulas on the cubic domains are derived using the discrete Fourier analysis associated with lattice tiling, as developed in \cite{LSX}.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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Discrete Fourier analysis with lattices on planar domains
, 2009 A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.ABSTRACT We develop efficient hyperreduction methods for projection‐based model reduction of nonlinear partial differential equations (PDEs) with a large number of parameters and/or large parametric extents. Our formulation is based on the empirical quadrature procedure (EQP), which solves an optimization problem that involves “residual‐matching ...
Adrian Humphry, Masayuki Yano
wiley +1 more source
Construction of spherical cubature formulas using lattices
, 2005 We construct cubature formulas on spheres supported by homothetic images of shells in some Euclidian lattices. Our analysis of these cubature formulas uses results from the theory of modular forms.
De La Harpe, Pierre +2 more
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Cubature formulas, geometrical designs, reproducing kernels, and Markov operators
, 2005 Cubature formulas and geometrical designs are described in terms of reproducing kernels for Hilbert spaces of functions on the one hand, and Markov operators associated to orthogonal group representations on the other hand.
De La Harpe, Pierre, Pache, Claude
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Entropy, 2019 In this paper, an application of spherical radial cubature Bayesian filtering and smoothing algorithms is presented to solve a typical underwater bearings only passive target tracking problem effectively.
Wasiq Ali +5 more
doaj +1 more source
Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm
International Journal of Aerospace Engineering, 2020 Standard cubature Kalman filter (CKF) algorithm has some disadvantages in stochastic system control, such as low control accuracy and poor robustness.
FengJun Hu, Qian Zhang, Gang Wu
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