A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems
It addresses the computational challenge of high-dimensional transport systems with multiple characteristic directions, but the method is domain-specific and incremental.
The paper proposes a surface hopping Gaussian beam method for solving high-frequency linear transport systems in high dimensions, validated on quantum-classical Liouville equations with parallelizable Monte Carlo implementation.
We propose a surface hopping Gaussian beam method to numerically solve a class of high frequency linear transport systems in high spatial dimensions, based on asymptotic analysis. The stochastic surface hopping is combined with Gaussian beam method to deal with the multiple characteristic directions of the transport system in high dimensions. The Monte Carlo nature of the proposed algorithm makes it easy for parallel implementations. We validate the performance of the algorithms for applications on the quantum-classical Liouville equations.