Projective and telescopic projective integration for non-linear kinetic mixtures

We propose fully explicit projective integration and telescopic schemes for the multispecies Boltzmann Bhatnagar-Gross-Krook (BGK) equations. The methods employ a sequence of small forward-Euler steps, intercalated with large extrapolation steps. approach repeats said extrapolations as basis an even larger step. This hierarchy renders computational complexity method essentially independent stiffness problem, which permits efficient solution equations in hyperbolic scaling very Knudsen numbers. validate on range scenarios, demonstrating its prowess dealing extreme mass ratios, fluid instabilities, other complex phenomena.