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20112025
most citedNonlinear Krylov Acceleration Applied to a Discrete Ordinates Formulation of the k-Eigenvalue Problem

50 citations · 76 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2025

Efficient, Nonlinear Second Moment Methods for Multigroup Thermal Radiative Transfer

Samuel Olivier, James S. Warsa, HyeongKae Park

Thermal radiative transfer (TRT) presents significant computational challenges due to the stiff, nonlinear coupling between radiation and material energy, particularly in multigrou…

math.NA2024

Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport

Samuel Olivier, Ben S. Southworth, James S. Warsa +1

Second Moment Methods (SMMs) are developed that are consistent with the Discontinuous Galerkin (DG) spatial discretization of the discrete ordinates (or \Sn) transport equations. T…

math.NA2023

Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation

Rylan C. Paye, Dmitriy Y. Anistratov, Jim E. Morel +1

In this paper, new implicit methods with reduced memory are developed for solving the time-dependent Boltzmann transport equation (BTE). One-group transport problems in 1D slab geo…

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…

astro-ph.HE2020★ 22 cited

The Role of Inhomogeneities in Supernova Shock Breakout Emission

Chris L. Fryer, Christopher J. Fontes, James S. Warsa +3

The breakout of a supernova blast wave from its progenitor star provides strong constraints on the star and its immediate surroundings. These surroundings are shaped by mass loss f…

physics.comp-ph2019★ 1 cited

Acceleration of the Sn Equations with Highly Anisotropic Scattering using the Fokker-Planck Equation

Japan K. Patel, James S. Warsa, Anil K. Prinja

The discrete ordinates method can model forward-peaked transport problems accurately. However, convergence of discrete ordinates solution can become arbitrarily slow upon use of st…

physics.comp-ph2011★ 50 cited

Nonlinear Krylov Acceleration Applied to a Discrete Ordinates Formulation of the k-Eigenvalue Problem

Matthew T. Calef, Erin D. Fichtl, James S. Warsa +2

We compare variants of Anderson Mixing with the Jacobian-Free Newton-Krylov and Broyden methods applied to an instance of the k-eigenvalue formulation of the linear Boltzmann trans…