Results 61 to 70 of about 70,750 (232)

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   +1 more source

Symmetric Quadrature Formulae for Simplexes [PDF]

Mathematics of Computation, 1970
Symmetrie interpolation polynomials are defined for N N -dimensional simplexes with the aid of a symmetric coordinate notation. These polynomials are used to produce symmetric interpolatory quadrature formulae of arbitrary degree of precision over simplexes of arbitrary dimensionality.
openaire   +1 more source

Digital Twin‐Based Optimization of Service Availability in LEO Mega Constellations Considering Handover Delays in Open RAN

International Journal of Satellite Communications and Networking, EarlyView.
ABSTRACT As non‐terrestrial networks (NTNs) become integral to future 6G systems, ensuring seamless connectivity and service continuity over low Earth orbit (LEO) satellite constellations is essential. This work investigates the impact of open radio access network (RAN) functional splits on handover performance in NTNs, focusing on minimizing service ...
Siva Satya Sri Ganesh Seeram, Luca Feltrin, Mustafa Ozger, Cicek Cavdar   +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
doaj   +1 more source

AI‐enabled bumpless transfer control strategy for legged robot with hybrid energy storage system

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract Designing Hybrid energy storage system (HESS) for a legged robot is significant to improve the motion performance and energy efficiency of the robot. However, switching between the driving mode and regenerative braking mode in the HESS may generate a torque bump, which has brought significant challenges to the stability of the robot locomotion.
Zhiwu Huang, Zi Yu, Hui Peng, Zixuan Wang, Xiaokang Dai, Weirong Liu, Jing Wang   +6 more
wiley   +1 more source

Double inequalities for quadrature formula of Gauss type

Journal of Numerical Analysis and Approximation Theory, 2011
Double inequalities for the remainder term of the Gauss quadrature formula are given. These inequalities are sharp. Will also be considered particular cases for \(n = 1, 2\).
Marius Heljiu
doaj   +2 more sources

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  

Bayesian perspective for orientation determination in cryo‐EM with application to structural heterogeneity analysis

Acta Crystallographica Section D, EarlyView.
A Bayesian perspective on orientation estimation in cryo‐EM is presented, with the minimum mean‐square error estimator outperforming standard cross‐correlation‐based approaches, particularly under challenging low signal‐to‐noise conditions. We demonstrate that improved orientation estimation has a decisive impact on 3D reconstruction quality and ...
Sheng Xu, Amnon Balanov, Amit Singer, Tamir Bendory   +3 more
wiley   +1 more source

From tetrachoric to kappa: How to assess reliability on binary scales

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley   +1 more source

Optimization of approximate integrals of rapidly oscillating functions in the Hilbert space

Results in Applied Mathematics
In this work, we construct an optimal quadrature formula in the sense of Sard based on a functional approach for numerical calculation of integrals of rapidly oscillating functions. To solve this problem, we will use Sobolev’s method.To do this, we first
Abdullo Hayotov, Samandar Babaev, Abdimumin Kurbonnazarov   +2 more
doaj   +1 more source