Results 71 to 80 of about 1,248 (191)
On the degree of approximation of the Hermite and Hermite-Fejer interpolation
International Journal of Mathematics and Mathematical Sciences, 1992 Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
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On the Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Materials (Basel), 2023 Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source
Parameter‐Preserving Real‐time BIM Rendering via Direct GPU Ray Tracing
Computer Animation and Virtual Worlds, Volume 37, Issue 4, July/August 2026.Parametric BIM geometry is preserved from Revit extraction to GPU ray tracing without mesh tessellation. A two‐tier cache reuses repeated geometry during export, and an instanced OptiX representation reduces memory at render time. The method lowers export time and GPU memory while preserving exact curved surfaces.
Jaehyuk Lim +3 more
wiley +1 more source
On a class of Humbert-Hermite polynomials
Novi Sad Journal of Mathematics, 2019 A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinnsy, Horadam-Pethe, Djordjević , Gould, Milovanović and Djordjević, Pathan and Khan polynomials and many not so called ’named’ polynomials ...
M. A Pathan, Waseem Khan
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Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
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Advances in Difference Equations, 2019 In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim +3 more
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
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Identities associated with Milne–Thomson type polynomials and special numbers
Journal of Inequalities and Applications, 2018 The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
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An extremal property of Hermite polynomials
Journal of Mathematical Analysis and Applications, 2004 Consider the sequence of the Hermite polynomials \(H_m(x)=(-1)^m e^{x^2}\frac{d^m}{dx^m} \{e^{-x^2}\}\), \((m=0,1,\dots)\), i.e. orthogonal polynomials in \(L_2(\mathbb R,w)\), where \(w(x)=\exp(-x^2)\). The main result of the paper is the following Duffin-Schaeffer type inequality. If \(f\) is a polynomial on \(\mathbb R\) of degree at most \(n\) such
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 857-870, July 2026.The immersed boundary method (IBM) was coupled with the moment representation lattice Boltzmann method (MR‐LBM), reducing bandwidth requirements compared to population‐based LBM formulations. A systematic assessment of IBM parameters was conducted to quantify their effect on computational performance.
Marco A. Ferrari +2 more
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