Results 11 to 20 of about 547,161 (285)

ON GOOD APPROXIMATIONS AND THE BOWEN–SERIES EXPANSION [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2021
AbstractWe consider the continued fraction expansion of real numbers under the action of a nonuniform lattice in $\text {PSL}(2,{\mathbb R})$ and prove metric relations between the convergents and a natural geometric notion of good approximations.
openaire   +3 more sources

Dynamic Model for LES Without Test Filtering: Quantifying the Accuracy of Taylor Series Approximations [PDF]

open access: yes, 2001
The dynamic model for large-eddy simulation (LES) of turbulent flows requires test filtering the resolved velocity fields in order to determine model coefficients.
Charlette, Fabrice   +2 more
core   +2 more sources

On Approximating DSGE Models by Series Expansions [PDF]

open access: yesSSRN Electronic Journal, 2010
We show how to use a simple perturbation method to solve non-linear rational expectation models. Drawing from the applied mathematics literature we propose a method consisting of series expansions of the non-linear system around a known solution. The variables are represented in terms of their orders of approximation with respect to a perturbation ...
openaire   +3 more sources

Random spherical hyperbolic diffusion [PDF]

open access: yes, 2019
The paper starts by giving a motivation for this research and justifying the considered stochastic diffusion models for cosmic microwave background radiation studies.
Broadbridge, Phil   +3 more
core   +3 more sources

Approximation of the Nonlinear B-H Curve by Complex Exponential Series

open access: yesIEEE Access, 2020
The paper presents an accurate and simple method for the approximation of the nonlinear B-H curves using expansion into complex exponential series. The least-squares fit of the model is obtained by the application of the Moore-Penrose pseudoinverse.
Martin Dadic   +2 more
doaj   +1 more source

On imploding cylindrical and spherical shock waves in a perfect gas [PDF]

open access: yes, 2006
The problem of a cylindrically or spherically imploding and reflecting shock wave in a flow initially at rest is studied without the use of the strong-shock approximation.
Hornung, H. G.   +3 more
core   +1 more source

A Closed-Form Approximation of Likelihood Functions for Discretely Sampled Diffusions: the Exponent Expansion [PDF]

open access: yes, 2006
In this paper we discuss a closed-form approximation of the likelihood functions of an arbitrary diffusion process. The approximation is based on an exponential ansatz of the transition probability for a finite time step $\Delta t$, and a series ...
Capriotti, Luca
core   +3 more sources

Topological Expansion and Exponential Asymptotics in 1D Quantum Mechanics [PDF]

open access: yes, 1999
Borel summable semiclassical expansions in 1D quantum mechanics are considered. These are the Borel summable expansions of fundamental solutions and of quantities constructed with their help.
Balian R   +29 more
core   +3 more sources

The Quantum Adiabatic Approximation and the Geometric Phase [PDF]

open access: yes, 1996
A precise definition of an adiabaticity parameter $\nu$ of a time-dependent Hamiltonian is proposed. A variation of the time-dependent perturbation theory is presented which yields a series expansion of the evolution operator $U(\tau)=\sum_\ell U^{(\ell)}
A. Joye   +24 more
core   +2 more sources

An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem

open access: yesOpen Mathematics, 2022
In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
doaj   +1 more source

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