Results 81 to 90 of about 32,513 (203)
Bernoulli type polynomials on Umbral Algebra
, 2011 The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti +8 more
core +1 more source
Likelihood Estimation for Stochastic Differential Equations with Mixed Effects
Scandinavian Journal of Statistics, EarlyView.ABSTRACT Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. When time series are observed for several experimental units, it is often the case that some of the parameters vary between the individual experimental units.
Fernando Baltazar‐Larios +2 more
wiley +1 more source
A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
Mathematics, 2018 In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ODEs.
Aydin Secer +2 more
doaj +1 more source
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 7, Page 1514-1532, June 2026.ABSTRACT The rapid development of new railway networks and the aging of existing infrastructure in seismic‐prone regions continue to motivate the need for efficient methods to simulate the dynamic behavior of coupled train track structure systems. While detailed train–structure interaction (TSI) models can capture complex mechanisms, they are often too
Miguel A. Gomez, Matthew J. DeJong
wiley +1 more source
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a differential equation and an ...
Hendrik De Bie
doaj +1 more source
International Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
wiley +1 more source
More on the q-oscillator algebra and q-orthogonal polynomials
, 1995 Properties of certain $q$-orthogonal polynomials are connected to the $q$-oscillator algebra. The Wall and $q$-Laguerre polynomials are shown to arise as matrix elements of $q$-exponentials of the generators in a representation of this algebra.
Atakishiyev N +16 more
core +2 more sources
Hermite and Hermite–Fejér interpolation for Stieltjes polynomials [PDF]
Mathematics of Computation, 2005 Let w λ ( x ) := ( 1 − x 2 ) λ − 1 / 2 w_{\lambda }(x):=(1-x^2)^{\lambda -1/2} and
openaire +2 more sources
Variable Selection in Mixed‐Effects Location‐Scale and Location‐Shift Models
Statistics in Medicine, Volume 45, Issue 10-12, May 2026.ABSTRACT When ordinal responses to questionnaires structured on the basis of Likert scales show differing variability or heterogeneity in subgroups of the population, appropriate regression approaches that are able to take this issue into account are the location‐scale and location‐shift model.
Moritz Berger, Maria Iannario
wiley +1 more source
Journal of Applied Research in Intellectual Disabilities, Volume 39, Issue 3, May 2026.ABSTRACT Background Adults with intellectual disability are living longer and ageing with more illness. This impacts healthcare utilisation. Yet little is known about how healthcare utilisation changes over time as this population ages. Methods Five waves of longitudinal data of people ≥ 40 years with intellectual disability from 2009 to 2023 were ...
Martin McMahon +6 more
wiley +1 more source