Results 91 to 100 of about 746,026 (201)

Fourier-Hermite Kinetic Network for Gas Transport Under High Knudsen Numbers

InterPore Journal
This work presents the Fourier-Hermite Kinetic Network (FHKN), a novel sequence-to-state temporal-spectral architecture designed to accelerate the prediction of rarefied gas transport in porous media.
Nijat Rustamov, Saman Aryana
doaj   +1 more source

An Estimate of the Root Mean Square Error Incurred When Approximating an f ∈ L2(ℝ) by a Partial Sum of Its Hermite Series

Mathematics, 2018
Let f be a band-limited function in L 2 ( R ) . Fix T > 0 , and suppose f ′ exists and is integrable on [ − T , T ] . This paper gives a concrete estimate of the error incurred when approximating f in the root mean square ...
Mei Ling Huang, Ron Kerman, Susanna Spektor   +2 more
doaj   +1 more source

Wavelength‐Selective Nonlinear Wavefront Control in Resonant Thin‐Film Lithium Niobate Metasurfaces

Advanced Photonics Research, Volume 7, Issue 10, October 2026.
A LN metasurface converts a Gaussian pump beam into a first‐order Hermite–Gaussian second‐harmonic beam, exploiting spectrally distinct Mie‐type resonances across two nanostructured regions. The resonance‐engineered phase difference enables wavelength‐selective wavefront shaping, active only within a specific spectral window, while leaving the ...
Madona Mekhael, Timo Stolt, Helena Weigand, Kiia Arola, Rachel Grange, Patrice Genevet, Mikko J. Huttunen   +6 more
wiley   +1 more source

Estimation of Underlying Normal Distribution Parameters From Dichotomized Data

Biometrical Journal, Volume 68, Issue 5, October 2026.
ABSTRACT Accurately estimating the parameters of a continuous distribution from dichotomized or aggregated data is a common problem in biomedical and environmental research. Many studies report only the proportion of subjects exceeding a threshold, without releasing individual‐level measurements.
Zhaoze Liu, Longwen Shang, Mary Lesperance, Shuiqing Zhou, Xuekui Zhang   +4 more
wiley   +1 more source

The Clifford Deformation of the Hermite Semigroup

Symmetry, Integrability and Geometry: Methods and Applications, 2013
This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of Clifford analysis.
Hendrik De Bie, Bent Ørsted, Petr Somberg, Vladimir Souček   +3 more
doaj   +1 more source

Polynomial Preconditioning for Indefinite Matrices

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
wiley   +1 more source

An Elementary Construction on Nonlinear Coherent States Associated to Generalized Bargmann Spaces

International Journal of Mathematics and Mathematical Sciences, 2010
Consider the space 𝐿2(ℂ,𝑑𝜇(𝑧)), where 𝑑𝜇(𝑧)=𝑒−|𝑧|2⋀𝑑𝑑𝑧𝑧 is the Gaussian measure, and its generalized Bargmann subspaces 𝐸𝑚 which are the null kernels of the operator Δ=−𝜕2/𝜕𝑧𝜕𝑧+𝑧(𝜕/𝜕𝑧)−𝑚𝐼;   𝑚=0,1,…. In this work, we present an other construction of
Abdelkader Intissar
doaj   +1 more source

A Time‐Continuous Model of the 3D Ionospheric Current System and Associated Magnetic Fields in the Diurnal Variation Band

Journal of Geophysical Research: Space Physics, Volume 131, Issue 10, October 2026.
Abstract Ionospheric currents and their associated magnetic perturbations are difficult to predict due to the high variability of their driving mechanisms. In addition, the 3D structure of the currents is challenging to unravel due to the lack of direct observations within the current flow region, particularly in the E $E$‐layer.
P. Alken, G. D. Egbert, A. Maute, A. D. Richmond, G. Lu, K. Pham, M. Fillion   +6 more
wiley   +1 more source

Relativistic Hermite polynomials and Lorentz beams [PDF]

, 2008
The link between relativistic Hermite polynomials and Lorentz beams is shown. That suggests introducing new optical fields. The paraxial propagation properties of such fields are studied in detail.
Severini, S., El Gawhary, O., Torre, Amalia, Evans, Andy   +3 more
core   +1 more source

Seizure detection in EEG signal using Gaussian-stockwell transform and Hermite polynomial features

Results in Engineering
Electroencephalography (EEG) is a non-intrusive and powerful tool for understanding the complex nature of the brain. Epileptic seizures, a neurological disorder, are characterized by excessively synchronized neuronal activity within the brain.
G. Jaffino, J Prabin Jose, Elumalai Pv, N.R. Dhineshbabu, Chan Choon Kit, Prabhakar S   +5 more
doaj   +1 more source