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UBER (Universal Boltzmann Equation Solver) solves the general form of Fokker-Planck equation and Boltzmann equation, diffusive or non-diffusive, that appear in modeling planetary radiation belts. Users can freely specify the coordinate system, boundary geometry and boundary conditions, and the equation terms and coefficients. The solver works for problems in one to three spatial dimensions. The solver is based upon the mathematical theory of stochastic differential equations. By its nature, the solver scheme is intrinsically Monte Carlo, and the solutions thus contain stochastic uncertainty, though the user may dictate an arbitrarily small relative tolerance of the stochastic uncertainty at the cost of longer Monte Carlo iterations.
Coport computes covariant polarized radiation transfer in any spacetime. It is particularly useful for imaging black hole accretion systems. Written in Julia, it contains functions for handling the computation of all rays and a single ray, and deriving initial ray directions. Coport also has functions for interpolating GRMHD data, obtaining covariant emission, absorption, and Faraday rotation coefficients, and projecting the polarization tensor at the observer's screen, among other tasks.