Results 81 to 90 of about 8,419 (218)

Dirichlet type boundary value problem for an elliptic equation with three singular coefficients in the first octant

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The paper investigates a Dirichlet-type boundary value problem for a three-dimensional elliptic equation with three singular coefficients in the first octant.
K.T. Karimov, M.R. Murodova
doaj   +1 more source

On approximating the modified Bessel function of the first kind and Toader-Qi mean

open access: yesJournal of Inequalities and Applications, 2016
In the article, we present several sharp bounds for the modified Bessel function of the first kind I 0 ( t ) = ∑ n = 0 ∞ t 2 n 2 2 n ( n ! ) 2 $I_{0}(t)=\sum_{n=0}^{\infty}\frac{t^{2n}}{2^{2n}(n!)^{2}}$ and the Toader-Qi mean T Q ( a , b ) = 2 π ∫ 0 π ...
Zhen-Hang Yang, Yu-Ming Chu
doaj   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

open access: yesLaser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil   +6 more
wiley   +1 more source

Optical Coherence Tomography for High‐Precision Industrial Inspection in Industry 4.0: Advances, Challenges, and Future Trends

open access: yesLaser &Photonics Reviews, EarlyView.
This review examines how optical coherence tomography transforms industrial inspection by delivering real‐time, micrometer‐resolution, depth‐resolved imaging. It surveys applications across display manufacturing, thin films, microelectronics, laser processing, and coatings, evaluates performance against conventional techniques, and highlights emerging ...
Nipun Shantha Kahatapitiya   +7 more
wiley   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt   +2 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

Analytical Modeling of Heat Transfer and Deformation Around a Circular Cavity in Elastic Ground

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT The subsurface is increasingly exploited to host energy, utilities, and infrastructure systems that interact with surrounding soils and rocks through their thermal and functional operation. Prominent examples are provided by energy geostructures, district heating networks, buried power cables, steam and water pipes, and underground nuclear ...
Arianna Lupattelli   +2 more
wiley   +1 more source

Forecast verification using information and noise

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
Verification of weather forecasts is usually expressed in terms of total error metrics. This is useful for end users of the forecasts but does not allow evaluation of the intrinsic information content of the forecasts. To overcome this limitation, we propose a new total error decomposition into information and noise error measures, connect it to ...
Massimo Bonavita, Alan J. Geer
wiley   +1 more source

Approximation theorems for modified Szasz-Mirakjan operators in polynomial weight spaces

open access: yesLe Matematiche, 1999
In this paper we will study properties of Szasz-Mirakjan type operators A_n^ν , B_n^ ν defined by modified Bessel function I_ν . We shall present theorems giving a degree of approximation for these operators.
Monika Herzog
doaj  

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