Results 61 to 70 of about 37,103 (214)

Implicit Third‐Order Peer Triplets with Variable Stepsizes for Gradient‐Based Solutions in Large‐Scale ODE‐Constrained Optimal Control

Optimal Control Applications and Methods, EarlyView.
Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
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

The Virtual Element Method with curved edges

, 2018
In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it happens in the approximation of problems posed on a curved domain or with a curved interface ...
da Veiga, L. Beirão, Russo, A., Vacca, G.   +2 more
core   +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

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

Polynomial chaos to efficiently compute the annual energy production in wind farm layout optimization [PDF]

Wind Energy Science, 2019
In this paper, we develop computationally efficient techniques to calculate statistics used in wind farm optimization with the goal of enabling the use of higher-fidelity models and larger wind farm optimization problems.
A. S. Padrón, J. Thomas, A. P. J. Stanley, J. J. Alonso, A. Ning   +4 more
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

High-Order Numerical Solution of Second-Order One-Dimensional Hyperbolic Telegraph Equation Using a Shifted Gegenbauer Pseudospectral Method

, 2015
We present a high-order shifted Gegenbauer pseudospectral method (SGPM) to solve numerically the second-order one-dimensional hyperbolic telegraph equation provided with some initial and Dirichlet boundary conditions.
Elgindy, Kareem T.
core   +1 more source

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

Optimal quadrature formulas using generalized inverses. I. General theory and minimum variance formulas [PDF]

Mathematics of Computation, 1971
This paper is the first of two papers concerning the derivation of optimal quadrature formulas. In Part I, we develop results concerning generalized inverses and use these results to derive some minimum variance quadrature formulas. The formulas are obtained by inverting appropriate systems of numerical differentiation formulas.
openaire   +1 more source