Results 51 to 60 of about 173 (155)

Putatively Optimal Projective Spherical Designs With Little Apparent Symmetry

Journal of Combinatorial Designs, Volume 33, Issue 6, Page 222-234, June 2025.
ABSTRACT We give some new explicit examples of putatively optimal projective spherical designs, that is, ones for which there is numerical evidence that they are of minimal size. These form continuous families, and so have little apparent symmetry in general, which requires the introduction of new techniques for their construction.
Alex Elzenaar, Shayne Waldron
wiley   +1 more source

Quantization‐Based Latin Hypercube Sampling for Dependent Inputs With an Application to Sensitivity Analysis of Environmental Models

Applied Stochastic Models in Business and Industry, Volume 41, Issue 3, May/June 2025.
ABSTRACT Numerical models are essential for comprehending intricate physical phenomena in different domains. To handle their complexity, sensitivity analysis, particularly screening is crucial for identifying influential input parameters. Kernel‐based methods, such as the Hilbert‐Schmidt Independence Criterion (HSIC), are valuable for analyzing ...
Guerlain Lambert, Céline Helbert, Claire Lauvernet   +2 more
wiley   +1 more source

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

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

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

Cubature formulas, discrepancy, and nonlinear approximation

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

Cubature formulae for spheres, simplices and balls

Journal of Computational and Applied Mathematics, 2004
The paper is organized in 5 Sections. The first two contain respectively the motivation for the choice of the subject and some results concerning properties of polyharmonic functions. In Section 3, cubature on the sphere \(S(r)=\{x\in\mathbb{R}^n:| x| =r\}\) on the form \[ \int_{S(r)}\mu(\xi) \,d\sigma(\xi)\simeq \sum^{m-1}_{j=0} A_j(r)\int_{S(r_j)}\mu(
openaire   +1 more source

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

Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping. [PDF]

J Sci Comput, 2023
Michel S, Torlo D, Ricchiuto M, Abgrall R.   +3 more
europepmc   +1 more source

A Non-Equal Time Interval Incremental Motion Prediction Method for Maritime Autonomous Surface Ships. [PDF]

Sensors (Basel), 2023
Zhou Z, Xu H, Feng H, Li W.
europepmc   +1 more source