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20232026
most citedNew Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling

1 citations · 1 across the 4 of their papers we have counts for

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math.NA2023

A Hybrid Monte Carlo, Discontinuous Galerkin method for linear kinetic transport equations

Johannes Krotz, Cory D. Hauck, Ryan G. McClarren

We present a hybrid method for time-dependent particle transport problems that combines Monte Carlo (MC) estimation with deterministic solutions based on discrete ordinates. For sp…

math.NA2023

Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering

Qiwei Sheng, Cory Hauck, Yulong Xing

In highly diffusion regimes when the mean free path tends to zero, the radiative transfer equation has an asymptotic behavior which is governed by a diffusion equatio…