Numerical quadrature and cubature formulas

Results 11 to 20 of about 89 (65)

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

Opuscula 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, Wiesław Solak, Zbigniew Szydełko +2 more
doaj +3 more sources

Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications

Algorithms
The optimization of computational algorithms is one of the main problems of computational mathematics. This optimization is well demonstrated by the example of the theory of quadrature and cubature formulas.
Kholmat Shadimetov, Khojiakbar Usmanov
doaj +2 more sources

Numerical quadrature methods for singular and nearly singular integrals [PDF]

, 2001
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
core +7 more sources

Sard kernels for certain bivariate cubatures [PDF]

, 1971
Sard's kernel theorems [5] concern the result of applying a bounded linear functional to an appropriate Taylor expansion. The smoothness assumed for the functions determines the Taylor expansion, which in turn determines a norm on the function space ...
Barnhill, RE, Pilcher, DT
core +6 more sources

Multi‐sensor particle filtering with multi‐step randomly delayed measurements

IET Science, Measurement &Technology, Volume 15, Issue 1, Page 35-43, January 2021., 2021
Abstract This paper develops particle filtering for multi‐sensor systems with randomly delayed measurements, where the general case that random delay can be multi‐step rather than one‐step or two‐step is considered. Moreover, different sensors can have different delay steps and delay probabilities.
Yunqi Chen, Zhibin Yan
wiley +1 more source

Averaged quadrature formulas and vatiants with applications [PDF]

, 2019
Numeriqka integracija prouqava kako se moe izraqunati brojevna vrednost integrala. Formule numeriqke integracije nazivaju se kvadraturama. Jedinstvena optimalna interpolaciona kvadratura sa n qvorova jeste Gausova formula Gn, koja ima algebarski stepen
Tomanović, Jelena
core +5 more sources

A probabilistic diagnostic for Laplace approximations: Introduction and experimentation

Canadian Journal of Statistics, Volume 53, Issue 4, December 2025.
Abstract Many models require integrals of high‐dimensional functions: for instance, to obtain marginal likelihoods. Such integrals may be intractable, or too expensive to compute numerically. Instead, we can use the Laplace approximation (LA). The LA is exact if the function is proportional to a normal density; its effectiveness therefore depends on ...
Shaun McDonald, Dave Campbell
wiley +1 more source

An Improved Weight Adaptive Gaussian Sum Algorithm Based on Sparse‐Grid Quadrature Filter for Non‐Gaussian Models

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
The impetus of this work is to develop a more accurate filter, the Gaussian sum adaptive sparse grid quadrature filter, which can be applied to non‐linear non‐Gaussian systems. Based on the Gaussian sum filter framework, the sparse grid quadrature filter is used as a sub‐filter to complete the filtering, and a weighting function is created to ...
Chen Qian, Enze Zhang, Yang Gao, Qingwei Chen +3 more
wiley +1 more source

The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas

Journal of Inequalities and Applications
The discrete analog of the differential operator plays a significant role in constructing interpolation, quadrature, and cubature formulas. In this work, we consider a discrete analog D m ( h β ) $D_{m}(h\beta )$ of the differential operator d 2 m d x 2 ...
K. M. Shadimetov, J. R. Davronov
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Robust Dynamic State Estimation of Power System With Measurement Outliers Based on Parameterized Analytical Cubature Kalman Filter

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
Accurate state estimation is paramount for the smooth operation and management of power systems, significantly contributing to their safety, stability, and reliability. However, the presence of channel noise and outliers stemming from phasor measurement units renders the noise model a deviation from the Gaussian distribution. To mitigate this challenge,
Mingyang Liu +4 more
wiley +1 more source