Sphere – To – Spheroid Comparison – Numerical Analysis

Scaled particle theory for hard sphere pairs. II. Numerical analysis.

We use the extension of scaled particle theory presented in the accompanying paper [F. H. Stillinger et al., J. Chem. Phys. 125, 204504 (2006)] to calculate numerically the pair correlation function of the hard sphere fluid over the density range 0< or =rhosigma(3)< or =0.96. Comparison with computer simulation results reveals that the new theory is able to capture accurately the fluid's struct...

Numerical Integration Over a Sphere*

Models of tumour spheroid response to radiation: identifiability analysis

Two spatially uniform models of tumour growth after a single instantaneous radiative treatment are presented in this paper. The two ordinary differential equations models presented may be obtained from two equivalent partial derivative equations models, by integration with respect to the radial distance. The main purpose of the paper is to study their identifiability properties. In fact, a prel...

Local numerical integration on the sphere

Many applications in geomathematics as well as bio–medical applications require the analysis of an unknown target function of a large amount of data, which can be modeled as data on a subset of the surface of a sphere. An important ingredient of this analysis is to develop numerical integration schemes (quadrature formulas) to integrate spherical polynomials of as high a degree as possible exac...

Analysis on Centrifugal Load Effect in FG Hollow Sphere Subjected to Magnetic Field

This paper presents the effect of centrifugal load in functionally graded (FG) hollow sphere subjected to uniform magnetic field. Analytical solution for stresses and perturbation of the magnetic field vector are determined using the direct method and the power series method. The material stiffness, the magnetic permeability and the density vary continuously across the thickness direction accor...