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A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems
Abstract
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.
Type
Journal articlePermalink
https://hdl.handle.net/10161/14040Collections
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Show full item recordScholars@Duke
Jianfeng Lu
Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm
development for problems from computational physics, theoretical chemistry, materials
science and other related fields.More specifically, his current research focuses include:Electronic
structure and many body problems; quantum molecular dynamics; multiscale modeling
and analysis; rare events and sampling techniques.
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