SUMMARY A reduced‐order model based on proper orthogonal decomposition (POD) has
been presented and applied to solving eigenvalue problems. The model is constructed via …

A novel, hierarchical Haar wavelet basis is introduced and used to discretise the angular
dimension of the Boltzmann transport equation. This is used in conjunction with a finite …

In this paper a new method for the discretization of the radiation transport equation is
presented, based on a discontinuous Galerkin method in space and angle that allows for …

Applications of the transient Boltzmann transport equation (BTE) have undergone much
investigation, such as radiative heat transfer and neutron transport. This paper provides a …

A goal-based angular adaptivity has been described for solving the discrete ordinates
transport equation. This method uses the linear discontinuous finite element quadrature …

This article presents a new adaptive reduced order model for resolving the angular direction
of the Boltzmann transport equation, based on proper orthogonal decomposition (POD) and …

This article presents a new reduced order model (ROM) for the angular discretization of the
Boltzmann transport equation. The angular ROM is built over a partitioning of the space …

This paper describes an angular adaptivity algorithm for Boltzmann transport applications
which for the first time shows evidence of O (n) scaling in both runtime and memory usage …

This paper presents a new multiscale radiation transport method based on a Galerkin finite
element spatial discretization of the Boltzmann transport equation. The approach …

A variable order spherical harmonics scheme has been described and employed for the
solution of the neutral particle transport equation. The scheme is specifically described with …