Results 21 to 30 of about 155 (136)
A note on the rate of convergence for Chebyshev-Lobatto and Radau systems
Open Mathematics, 2016 This paper is devoted to Hermite interpolation with Chebyshev-Lobatto and Chebyshev-Radau nodal points. The aim of this piece of work is to establish the rate of convergence for some types of smooth functions.
Berriochoa Elías +3 more
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A treecode based on barycentric Hermite interpolation for electrostatic particle interactions
Computational 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
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Optimization of Univariate Functions on Bounded Intervals by Interpolation and Semidefinite Programming [PDF]
, 2006 AMS classifications: 65D05; 65K05 ...
den Hertog, D. +2 more
core
Quantum coherence of Gaussian states in curved spacetime
Results 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
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a special version of hypergeometric functions constructed within the bicomplex system, referred to as the bicomplex confluent hypergeometric functions (BCHFs). We highlight important properties, concentrating on their structure with bicomplex numbers, their conditions for convergence, and their differential representation.
Mohra Zayed +4 more
wiley +1 more source
A kind of univariate improved Shepard-Euler operators
Open MathematicsIn 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
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International 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
Signature verification by geometry and image processing
Nonlinear EngineeringIn 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
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The Quasi‐Cubic Trigonometric Cardinal Spline With Local Shape Adjustability
Journal 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
Approximation by interpolation operators with piecewise polynomial basis functions
Demonstratio MathematicaThis paper focuses on approximation by interpolation operators with piecewise polynomial basis functions. It first shows that the interpolation operator introduced by Zhan, Huang and Liu (A class of interpolation basis functions with excellent properties,
Mei Ying, Yu Dansheng
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