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Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications
AlgorithmsThe 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
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Optimal Quadrature Formulas for Calculating Integrals of Rapidly Oscillating Functions [PDF]
, 2023 Kholmat Shadimetov, Otabek Gulomov
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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.
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Journal of Field Robotics, EarlyView.ABSTRACT This paper presents the development and validation of a scalable platooning system based on the predecessor‐following (PF) topology, designed for low‐cost follower platforms. It integrates key technologies such as localization, path planning, profile generation, and low‐level control to create a practical solution.
Dongwoo Seo, Jinhee Lee, Jaeyoung Kang
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Journal of Inequalities and ApplicationsThe 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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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 +3 more
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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
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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
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 +6 more
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A certain class of quadratures with even Tchebychev weights
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We are considering the quadrature formulas of “practical type” (with five knots) for approximate computation of integral [xxx] where w(·) denotes (even) Tchebychev weight function.
Udovičić Zlatko, Udovičić Mirna
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