Results 91 to 100 of about 4,554 (193)

Computational Homogenization in Three‐Dimensional Magnetostatics Using Empirically Corrected Cluster Cubature (E3C) Hyper‐Reduction

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.
ABSTRACT The recently published hyper‐reduction method “Empirically Corrected Cluster Cubature” (E3C) is applied for the first time in three dimensions (here magnetostatics). The method is verified to give accurate results even for a small number of integration points, such as 15 for 3D microstructure simulations.
Hauke Goldbeck, Stephan Wulfinghoff
wiley   +1 more source

A Cubature-Principle-Assisted IMM-Adaptive UKF Algorithm for Maneuvering Target Tracking Caused by Sensor Faults

open access: yesApplied Sciences, 2017
Aimed at solving the problem of decreased filtering precision while maneuvering target tracking caused by non-Gaussian distribution and sensor faults, we developed an efficient interacting multiple model-unscented Kalman filter (IMM-UKF) algorithm.
Huan Zhou   +3 more
doaj   +1 more source

Square-Root Sigma-Point Information Consensus Filters for Distributed Nonlinear Estimation

open access: yesSensors, 2017
This paper focuses on the convergence rate and numerical characteristics of the nonlinear information consensus filter for object tracking using a distributed sensor network.
Guoliang Liu, Guohui Tian
doaj   +1 more source

A Higher-Order Extended Cubature Kalman Filter Method Using the Statistical Characteristics of the Rounding Error of the System Model

open access: yesMathematics
The cubature Kalman filter (CKF) cannot accurately estimate the nonlinear model, and these errors will have an impact on the accuracy. In order to improve the filtering performance of the CKF, this paper proposes a new CKF method to improve the ...
Haiyang Zhang, Chenglin Wen
doaj   +1 more source

Accurate computation of the high dimensional diffraction potential over hyper-rectangles

open access: yes, 2018
We propose a fast method for high order approximation of potentials of the Helmholtz type operator Delta+kappa^2 over hyper-rectangles in R^n. By using the basis functions introduced in the theory of approximate approximations, the cubature of a ...
Lanzara, Flavia   +2 more
core  

A note on a family of quadrature formulas and some applications [PDF]

open access: yesOpuscula Mathematica, 2008
In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek   +2 more
doaj  

Recent advances in various fields of numerical probability***

open access: yesESAIM: Proceedings and Surveys, 2015
The goal of this paper is to present a series of recent contributions on some various problems of numerical probability. Beginning with the Richardson-Romberg Multilevel Monte-Carlo method which, among other fields of applications, is
Bréhier C. E.   +4 more
doaj   +1 more source

A Variational Bayesian Based Strong Tracking Interpolatory Cubature Kalman Filter for Maneuvering Target Tracking

open access: yesIEEE Access, 2018
In tracking a maneuverable target, a proper estimation method with better filtering accuracy, stronger robustness, and faster convergence speed is crucial to the tracking system.
Jian Wang, Tao Zhang, Xiang Xu, Yao Li
doaj   +1 more source

Linear scaling computation of the Fock matrix. V. Hierarchical Cubature for numerical integration of the exchange-correlation matrix [PDF]

open access: yesThe Journal of Chemical Physics, 2000
Hierarchical cubature is a new method for achieving linear scaling computation of the exchange-correlation matrix central to Density Functional Theory. Hierarchical cubature combines a k-dimensional generalization of the binary search tree with adaptive numerical integration involving an entirely Cartesian grid.
openaire   +1 more source

On the numerical evaluation of certain 2-D singular integrals

open access: yesJournal of Numerical Analysis and Approximation Theory, 2000
The problem of approximating certain two-dimensional Cauchy principal value integrals is here considered, product integration formulas with multiple nodes are presented and the behaviour of the remainder is analyzed.
Laura Gori   +2 more
doaj   +2 more sources

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