Efficient Numerical Methods for the Uncertain Boltzmann Equation Based on a Hybrid Solver
Abstract. In this work, we propose and compare several approaches to solve the Boltzmann equation with uncertain parameters, including multilevel Monte Carlo and multifidelity methods that employ an asymptotic-preserving-hybrid (APH) scheme (Filbet and Rey, 2015) for the deterministic Boltzmann model. By constructing...