Results 101 to 110 of about 490,089 (251)

A Hermite Polynomial Approach for Solving the SIR Model of Epidemics

open access: yesMathematics, 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

How Accurate is Richardson's Error Estimate?

open access: yesConcurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.
ABSTRACT We consider the fundamental problem of estimating the difference between the exact value T$$ T $$ and approximations Ah$$ {A}_h $$ that depend on a single real parameter h$$ h $$. It is well‐known that if the error Eh=T−Ah$$ {E}_h=T-{A}_h $$ satisfies an asymptotic expansion, then we can use Richardson extrapolation to approximate Eh$$ {E}_h $$
Carl Christian Kjelgaard Mikkelsen   +1 more
wiley   +1 more source

On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1541-1557, December 2025.
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras   +3 more
wiley   +1 more source

On inequalities of Hermite-Hadamard type via $ n $-polynomial exponential type $ s $-convex functions

open access: gold, 2022
Muhammad Samraiz   +4 more
openalex   +1 more source

Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs

open access: yesRandom Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova   +3 more
wiley   +1 more source

A Variational Approach for Modeling the Inductive Response of Earth's Mantle to Time‐Varying External Geomagnetic Source

open access: yesEarth and Space Science, Volume 12, Issue 12, December 2025.
Abstract A mathematical and numerical framework is developed for modeling Earth's magnetic field and optimizing the trajectory of the whole system using geomagnetic observations. The conventional approach is adopted to model Earth's magnetic field in the source‐free region via the Gauss coefficient, for which the fast dynamical component for the mantle‐
Kuan Li
wiley   +1 more source

On generalized Hermite polynomials

open access: yesAIMS Mathematics
This article is devoted to establishing new formulas concerning generalized Hermite polynomials (GHPs) that generalize the classical Hermite polynomials.
Waleed Mohamed Abd-Elhameed   +1 more
doaj   +1 more source

An Inverted Hermite Kolmogorov–Arnold Network Transformer for multi‐point settlement prediction in high‐speed railway bridge piers

open access: yesComputer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 29, Page 5576-5595, 9 December 2025.
Abstract Settlement monitoring of high‐speed railway bridge piers (HSR‐BPs) is critical for ensuring construction and operational safety. However, existing methods for BP settlement prediction face three challenges: limited dataset size, inconsistent observation periods across measuring points, and difficulty in synchronizing spatiotemporal ...
Xunqiang Gong   +6 more
wiley   +1 more source

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