Results 71 to 80 of about 2,531 (180)

Weighted Optimal Formulas for Approximate Integration

Mathematics
Solutions to problems arising from much scientific and applied research conducted at the world level lead to integral and differential equations. They are approximately solved, mainly using quadrature, cubature, and difference formulas. Therefore, in the
Kholmat Shadimetov, Ikrom Jalolov
doaj   +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
core   +1 more source

On Gauss-Lobatto integration on the triangle

, 2011
A recent result in [2] on the non-existence of Gauss-Lobatto cubature rules on the triangle is strengthened by establishing a lower bound for the number of nodes of such rules. A method of constructing Lobatto type cubature rules on the triangle is given
Xu, Yuan
core   +1 more source

l1‐ATSXKF‐based state and bias estimation for non‐linear systems with non‐Gaussian process noise

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
To solve the problem of state and bias estimation for the nonlinear system with non‐Gaussian noise terms, combining the l1 norm and adaptive factors, a series of exogenous Kalman filters (XKF) based state and bias estimation algorithms are proposed. The simulation results show that the proposed algorithms can reduce the influence of the non‐Gaussian ...
Boyu Yang, Xueqin Chen, Fan Wu, Ming Liu
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
doaj   +1 more source

Cubature on Wiener space in infinite dimension

, 2008
We prove a stochastic Taylor expansion for SPDEs and apply this result to obtain cubature methods, i. e. high order weak approximation schemes for SPDEs, in the spirit of T. Lyons and N. Victoir.
Cont R, Da Prato G, Kloeden P.E, Peszat S   +3 more
core   +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

Cubature formulas, discrepancy, and nonlinear approximation

Journal of Complexity, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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

, 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, Maz'ya, Vladimir, Schmidt, Gunther   +2 more
core  

Modified product cubature formulae

Journal of Computational and Applied Mathematics, 2009
Starting with the well known blending interpolation formula, the authors constructed a cubature formula which involves few line integrals. This way, they obtained a generalization of the classical product of cubature formulae. This new type of cubature formulae contains two distinct parts: the first one is the classical product, while the second is the
Gushev, Vesselin, Nikolov, Geno
openaire   +2 more sources