An extended quadrature method of moments for population balance equations

Radiation transport modeling using extended quadrature method of moments

The radiative transfer equation describes the propagation of radiation through a material medium. While it provides a highly accurate description of the radiation field, the large phase space on which the equation is defined makes it numerically challenging. As a consequence, significant effort has gone into the development of accurate approximation methods. Recently, an extended quadrature met...

Modi ed method of characteristics for solving population balance equations

This paper presents a new numerical method for solving the population balance equation using the modi ed method of characteristics. Aggregation and break-up are neglected but the density function variations in the three-dimensional space and its dependence on the external elds are accounted for. The method is an interpretation of the Lagrangian approach. Based on a pre-speci ed grid, it follows...

Enhanced Direct Quadrature Based Method of Moments for Nonlinear Filtering

The optimal estimation of a general continuous-discrete system can be achieved through the solution of the Fokker-Planck equation and the Bayesian update. However, solving the Fokker-Planck equation numerically is prohibitive in most cases. Recently a nonlinear filtering algorithm using a direct quadrature method of moments was proposed by the authors, in which the associated Fokker-Planck equa...

A quadrature-based method of moments for nonlinear filtering

High order quadrature based iterative method for approximating the solution of nonlinear equations

In this paper, weight function and composition technique is utilized to speeds up the convergence order and increase the efficiency of an existing quadrature based iterative method. This results in the proposition of its improved form from a two-point quadrature based method of convergence order ρ = 3 with efficiency index EI = 1:3161 to a three-point method of convergence order ρ = 8 with EI =...