Sentence examples for macroscopic approximation from inspiring English sources

This paper formulates and uses an analytical and differentiable macroscopic approximation of the non-differentiable simulation-based microscopic emissions model.

An original boundary value problem for a heterogeneous rod yielded by the macroscopic approximation obtained earlier by the higher-order asymptotic homogenization method is used.

Furthermore, it was assumed that the regulatory mechanisms modeled represented suitable (macroscopic) approximations to the underlying molecular mechanism, thus, altenative network models were not explored.

TPHM is based on a macroscopic-scale approximation using a natural-strain-based Hooke's law to describe elastic deformation for a fraction of pores subject to a large degree of deformation; an engineering-strain-based Hooke's law is used for the other part.

We also demonstrate the use of such projective integrators in a shooting boundary value problem formulation for the computation of "coarse limit cycles" of the macroscopic behavior, and the approximation of their stability through estimates of the leading "coarse Floquet multipliers".

Starting from a first crude lower bound approximation to the macroscopic strength criterion of the stone column reinforced soil, a much more accurate failure surface is then drawn in the space of stresses as a result of a series of numerical elastoplastic simulations performed on the reinforced soil unit cell subject to radial strain controlled loading paths.

In this paper, we develop a self-consistent approach using effective medium approximation to calculate the macroscopic magnetoelectric (ME) coefficients of polycrystalline multiferroic composites, emphasizing the effects of shape, volume fraction, and orientation distribution of particles of both phases.

Equation 4, although a macroscopic formula, serves as a good approximation [15].

These methods include linear-response approximation (LRA), the semi-macroscopic version of the protein-dipole Langevin-dipole approach (PDLD/S-LRA), the linear interaction energy (LIE) and molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) approaches [10 15].

Linear stability analysis and high-accuracy numerical simulations are employed to analyze the ability of macroscopic continuum equations to provide a consistent approximation of the displacement process.

DCM affords inference on microscopic states from macroscopic data by employing a mean-field approximation [ 33].