Results 61 to 70 of about 4,491 (232)

Clenshaw algorithm in the interpolation problem by the Chebyshev collocation method

Discrete and Continuous Models and Applied Computational Science
The article describes a method for calculating interpolation coefficients of expansion using Chebyshev polynomials. The method is valid when the desired function is bounded and has a finite number of maxima and minima in a finite domain of interpolation.
P. Lovetskiy Konstantin, A. Tiutiunnik Anastasiia, Felix Jose do Nascimento Vicente, Celmilton Teixeira Boa Morte   +3 more
doaj   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Launch Uncertainty Analysis Under Barrel Erosion Using Experiments and Random Matrix Theory

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The effects of barrel erosion on artillery firing performance have long been a subject of concern, but its effect on launch uncertainty has yet to be investigated. This article explores the influence of barrel erosion on the interior ballistic mechanical properties and launch disturbances.
Chengyuan Guo, Guolai Yang, Liqun Wang, Jianli Ge, Qingle Wu, Hao Guo   +5 more
wiley   +1 more source

On the impact of observation‐error correlations in data assimilation, with application to along‐track altimeter data

Quarterly Journal of the Royal Meteorological Society, EarlyView.
We study the impact of observation‐error correlations in data assimilation using both a simple idealised system and a more realistic configuration. A spectral analysis of data assimilation in the idealised system allows us to gain insights on the effect of observation‐error correlations, which are then validated using the realistic configuration.
Olivier Goux, Anthony T. Weaver, Selime Gürol, Oliver Guillet, Andrea Piacentini   +4 more
wiley   +1 more source

Approximation Properties of Chebyshev Polynomials in the Legendre Norm

Mathematics, 2021
In this paper, we present some important approximation properties of Chebyshev polynomials in the Legendre norm. We mainly discuss the Chebyshev interpolation operator at the Chebyshev–Gauss–Lobatto points.
Cuixia Niu, Huiqing Liao, Heping Ma, Hua Wu   +3 more
doaj   +1 more source

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

Advanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Image and video analysis using graph neural network for Internet of Medical Things and computer vision applications

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract Graph neural networks (GNNs) have revolutionised the processing of information by facilitating the transmission of messages between graph nodes. Graph neural networks operate on graph‐structured data, which makes them suitable for a wide variety of computer vision problems, such as link prediction, node classification, and graph classification.
Amit Sharma, Ashutosh Sharma, Alexey Tselykh, Alexander Bozhenyuk, Byung‐Gyu Kim   +4 more
wiley   +1 more source

To Solution of Contact Problem for Rectangular Plate on Elastic Half-Space

Наука и техника, 2020
Until the present time there is no exact solution to the contact problem for a rectangular plate on an elastic base with distribution properties. Practical analogues of this design are slab foundations widely used in construction.
S. V. Bosakov
doaj   +1 more source

Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets

Acta Crystallographica Section A, EarlyView.
We describe an efficient algorithm to compute the bridge length estimating the size of a complete isoset invariant, which classifies all periodic point sets under Euclidean motion.The fundamental model of any periodic crystal is a periodic set of points at all atomic centres.
Jonathan McManus, Vitaliy Kurlin
wiley   +1 more source

Solving change of basis from Bernstein to Chebyshev polynomials

Examples and Counterexamples
We provide two closed-form solutions to the change of basis from Bernstein polynomials to shifted Chebyshev polynomials of the fourth kind and show them to be equivalent by applying Zeilberger’s algorithm. The first solution uses orthogonality properties
D.A. Wolfram
doaj   +1 more source