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We propose a surface hopping Gaussian beam method to numerically solve aclass of high frequency linear transport systems in high spatial dimensions,based on asymptotic analysis. The stochastic surface hopping is combined withGaussian beam method to deal with the multiple characteristic directions of thetransport system in high dimensions. The Monte Carlo nature of the proposedalgorithm makes it easy for parallel implementations. We validate theperformance of the algorithms for applications on the quantum-classicalLiouville equations.

A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems