We present a new moment-based energy-integrated neutrino transport code for neutron star
merger simulations in general relativity. In the merger context, ours is the first code to include …

In celebration of the 50th anniversary of the simplified Pn equations (SPn), this work reviews
the theory underpinning the SPnequations for neutral particle transport. We recount the …

A number of technological processes and natural phenomena are accompanied by heat
transfer concerned with media thermal radiation. Generally, thermal radiation is thought to …

The low-rank approximation is a complexity reduction technique to approximate a tensor or
a matrix with a reduced rank, which has been applied to the simulation of high dimensional …

An inhomogeneous steady-state problem of radiative-conductive heat transfer in a three-
dimensional domain is studied in the framework of the P 1 approximation of the nonlinear …

In this paper we show new solver strategies for the multigroup SP N equations for nuclear
reactor analysis. By forming the complete matrix over space, moments, and energy, a robust …

An efficient partition of unity finite element method for three-dimensional transient diffusion
problems is presented. A class of multiple exponential functions independent of time …

Application of the lattice Boltzmann method (LBM) recently extended by Pietro et al.[P.
Asinari, SC Mishra, and R. Borchiellini, A Lattice Boltzmann Formulation to the Analysis of …

An enriched partition of unity FEM is developed to solve time‐dependent diffusion problems.
In the present formulation, multiple exponential functions describing the spatial and temporal …

We investigate integral formulations and fast algorithms for the steady-state radiative transfer
equation with isotropic and anisotropic scattering. When the scattering term is a smooth …