The field of radiative transfer equation solvers is moving towards the development of more efficient and accurate methods. Recent research has focused on improving the convergence and accuracy of existing methods, such as the discontinuous Galerkin method, and exploring new approaches, like low-rank source iteration and trajectory-aware reduced order models. These innovative methods have shown significant improvements in computational efficiency and accuracy, making them promising for practical applications. Noteworthy papers include:

• A paper on superconvergence extraction of upwind discontinuous Galerkin method solving the radiative transfer equation, which demonstrated substantial gains in computational efficiency.
• A paper on an inexact low-rank source iteration with diffusion synthetic acceleration for solving the multidimensional steady-state radiative transfer equation, which achieved speedups exceeding 90x over its full-rank counterpart.
• A paper on a million-point fast trajectory optimization solver, which presented a Birkhoff-theoretic discretization of optimal control problems and achieved unprecedented scale and speed.