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20102023
most citedApproximation of the Boltzmann Collision Operator Based on Hermite Spectral Method

30 citations · 228 across the 45 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

physics.comp-ph2018★ 2 cited

An efficient and accurate MPI based parallel simulator for streamer discharges in three dimensions

Bo Lin, Chijie Zhuang, Zhenning Cai +2

In this paper, we propose an efficient and accurate message-passing interface (MPI)-based parallel simulator for streamer discharges in three dimensions using the fluid model. Firs…

math-ph2018★ 1 cited

Inchworm Monte Carlo method for open quantum systems

Zhenning Cai, Jianfeng Lu, Siyao Yang

We investigate in this work a recently proposed diagrammatic quantum Monte Carlo method --- the inchworm Monte Carlo method --- for open quantum systems. We establish its validity…

physics.comp-ph2018★ 1 cited

Burnett Spectral Method for the Spatially Homogeneous Boltzmann Equation

Zhenning Cai, Yuwei Fan, Yanli Wang

We develop a spectral method for the spatially homogeneous Boltzmann equation using Burnett polynomials in the basis functions. Using the sparsity of the coefficients in the expans…

math.SP2018★ 4 cited

Numerical Simulation of Microflows using Hermite Spectral Methods

Zhicheng Hu, Zhenning Cai, Yanli Wang

We propose a Hermite spectral method for the spatially inhomogeneous Boltzmann equation. For the inverse-power-law model, we generalize an approximate quadratic collision operator…

math-ph2018★ 2 cited

On discrete Wigner transforms

Zhenning Cai, Jianfeng Lu, Kevin Stubbs

In this work, we derive a discrete analog of the Wigner transform over the space for any prime and any positive integer . We show that the Wigne…

math.NA2018★ 30 cited

Approximation of the Boltzmann Collision Operator Based on Hermite Spectral Method

Yanli Wang, Zhenning Cai

Based on the Hermite expansion of the distribution function, we introduce a Galerkin spectral method for the spatially homogeneous Boltzmann equation with the realistic inverse-pow…