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20202026
most citedA Reduced-Order Model for Nonlinear Radiative Transfer Problems Based on Moment Equations and POD-Petrov-Galerkin Projection of the Normalized Boltzmann Transport Equation

6 citations · 23 across the 17 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.NA2021★ 1 cited

Reduced order models for nonlinear radiative transfer based on moment equations and POD/DMD of Eddington tensor

Joseph M. Coale, Dmitriy Y. Anistratov

A new group of reduced-order models (ROMs) for nonlinear thermal radiative transfer (TRT) problems is presented. They are formulated by means of the nonlinear projective approach a…

math.NA2021

Multilevel Iteration Method for Binary Stochastic Transport Problems

Dmitriy Y. Anistratov

This paper presents an iteration method for solving linear particle transport problems in binary stochastic mixtures. It is based on nonlinear projection approach. The method is de…

math.NA2021★ 2 cited

Implicit Methods with Reduced Memory for Thermal Radiative Transfer

Dmitriy Y. Anistratov, Joseph M. Coale

This paper presents approximation methods for time-dependent thermal radiative transfer problems in high energy density physics. It is based on the multilevel quasidiffusion method…

math.NA2021★ 3 cited

Multilevel Second-Moment Methods with Group Decomposition for Multigroup Transport Problems

Dmitriy Y. Anistratov, Joseph M. Coale, James S. Warsa +1

This paper presents multilevel iterative schemes for solving the multigroup Boltzmann transport equations (BTEs) with parallel calculation of group equations. They are formulated w…

math.NA2021★ 3 cited

Reduced-Order Models for Thermal Radiative Transfer Based on POD-Galerkin Method and Low-Order Quasidiffusion Equations

Joseph M. Coale, Dmitriy Y. Anistratov

This paper presents a new technique for developing reduced-order models (ROMs) for nonlinear radiative transfer problems in high-energy density physics. The proper orthogonal decom…