Results 21 to 30 of about 134 (123)

A treecode based on barycentric Hermite interpolation for electrostatic particle interactions

open access: yesComputational and Mathematical Biophysics, 2019
A particle-cluster treecode based on barycentric Hermite interpolation is presented for fast summation of electrostatic particle interactions in 3D. The interpolation nodes are Chebyshev points of the 2nd kind in each cluster.
Krasny Robert, Wang Lei
doaj   +1 more source

Quantum coherence of Gaussian states in curved spacetime

open access: yesResults in Physics, 2019
We study quantum coherence of two-mode Gaussian states in the background of an asymptotically flat black hole. We find that quantum coherence between mode A observed by an inertial observer Alice and mode B observed by an accelerated Bob who hovers near ...
Shu-Min Wu, Hao-Sheng Zeng, Tong-Hua Liu
doaj   +1 more source

Application of (q, τ)‐Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani   +2 more
wiley   +1 more source

Optimization of Univariate Functions on Bounded Intervals by Interpolation and Semidefinite Programming [PDF]

open access: yes, 2006
AMS classifications: 65D05; 65K05 ...
den Hertog, D.   +3 more
core  

A kind of univariate improved Shepard-Euler operators

open access: yesOpen Mathematics
In this paper, a kind of univariate Shepard-Euler operators is studied by combining the known Shepard operator with the generalized Taylor polynomial as the expansion in the Euler polynomials.
Wu Ruifeng
doaj   +1 more source

Coupling efficiency of a partially coherent collimating laser from turbulent biological tissue to fiber

open access: yesResults in Physics, 2019
We propose a model of the fiber coupling efficiency for a partially coherent collimating laser beam propagating through turbulent biological tissue to fiber.
Qiyong Liang   +5 more
doaj   +1 more source

The Quasi‐Cubic Trigonometric Cardinal Spline With Local Shape Adjustability

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The cubic Cardinal spline curve is a fundamental tool in the field of interpolation curve design. However, the cubic Cardinal spline curve cannot adjust its shape locally through the free parameters, and it struggles to accurately represent common engineering curves such as elliptical arcs, circular arcs, and parabolic arcs.
Juncheng Li   +3 more
wiley   +1 more source

Signature verification by geometry and image processing

open access: yesNonlinear Engineering
In this article, we present an algorithm to determine the authenticity of a signature with high probability. This study addresses the increasing need for robust and accurate methods of verifying offline signatures, which are crucial in various legal and ...
Jaber Ebaa Abdulsattar   +2 more
doaj   +1 more source

Enhanced double random phase encryption of quantum images

open access: yesResults in Physics, 2019
We improve the double random phase encryption (DRPE) algorithm to make the outcome of DRPE algorithm as uniformly mixed as possible via applying scrambling transform.
Shiping Du   +3 more
doaj   +1 more source

An Analytical Approach to Solve a System of 2D Nonlinear Volterra–Fredholm Integral Equations on Nonrectangular Domains Based on Radial Basis Functions

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discrete collocation method based on radial basis functions constructed on scattered points.
Mohsen Jalalian   +3 more
wiley   +1 more source

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