Results 41 to 50 of about 1,642 (193)

The numerical solution of an Abel integral equation by the optimal quadrature formula

Results in Applied Mathematics
In this study, a novel and efficient approach utilizing optimal quadrature formulas is introduced to derive approximate solutions for generalizing Abel’s integral equations. The method, characterized by high accuracy and simplicity, involves constructing
Abdullo Hayotov, Samandar Babaev, Bobomurod Boytillayev   +2 more
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QPSK Training Sequence-Based Both OSNR and Chromatic Dispersion Monitoring in DWDM Systems

IEEE Photonics Journal, 2018
We design a quadrature phase-shift keying training sequence (QPSK-TS) for monitoring both optical signal-to-noise ratio (OSNR) and chromatic dispersion (CD) in a dense wavelength division multiplexing (DWDM) system.
Feilong Wu, Aiying Yang, Peng Guo, Yaojun Qiao, Lingwei Zhuang, Shaojian Guo   +5 more
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Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan, Massimo Bonavita, Marcin Chrust, Elías Hólm   +3 more
wiley   +1 more source

ERROR BOUNDS FOR SURFACE AREA ESTIMATORS BASED ON CROFTON’S FORMULA

Image Analysis and Stereology, 2011
According to Crofton's formula, the surface area S(A) of a sufficiently regular compact set A in Rd is proportional to the mean of all total projections pA (u) on a linear hyperplane with normal u, uniformly averaged over all unit vectors u.
Markus Kiderlen, Daniel Meschenmoser
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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

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
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Genetic algorithm for design optimization of multibody dynamics using differential–algebraic equation integrators

Advances in Mechanical Engineering, 2015
Based on the general model of design optimization of multibody dynamics, a modified genetic algorithm with adaptive crossover and mutation rates is developed to find optimal design variables which satisfy the dynamic constraints and obtain optimum ...
Jieyu Ding
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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

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

A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems [PDF]

Sahand Communications in Mathematical Analysis, 2016
In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and ...
Somayeh Nemati
doaj