Results 101 to 110 of about 490,089 (251)
A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
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?
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 Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source
On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion
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
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
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
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
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
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
Convergence of Hermite--Fejér interpolation polynomial on the extended nodes
V. Kumar
openalex +1 more source

