78 citations · 163 across the 8 of their papers we have counts for
8 papers · 1 filter
Asymptotic-preserving and positivity-preserving discontinuous Galerkin method for the semiconductor Boltzmann equation in the diffusive scaling
Huan Ding, Liu Liu, Xinghui Zhong
In this paper, we develop an asymptotic-preserving and positivity-preserving discontinuous Galerkin (DG) method for solving the semiconductor Boltzmann equation in the diffusive sc…
A learned conservative semi-Lagrangian finite volume scheme for transport simulations
Yongsheng Chen, Wei Guo, Xinghui Zhong
Semi-Lagrangian (SL) schemes are known as a major numerical tool for solving transport equations with many advantages and have been widely deployed in the fields of computational f…
Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system
Tianai Yin, Xinghui Zhong, Yanli Wang
We present an energy-conserving numerical scheme to solve the Vlasov-Maxwell (VM) system based on the regularized moment method proposed in [Z. Cai, Y. Fan, and R. Li. CPAM, 2014].…
High order finite difference WENO methods with unequal-sized sub-stencils for the Degasperis-Procesi type equations
Jianfang Lin, Yan Yu, Huiwen Xue +1
In this paper, we develop two finite difference weighted essentially non-oscillatory (WENO) schemes with unequal-sized sub-stencils for solving the Degasperis-Procesi (DP) and -…
An Efficient Solver for Cumulative Density Function-based Solutions of Uncertain Kinematic Wave Models
Ming Cheng, Yi Qin, Akil Narayan +3
We develop a numerical framework to implement the cumulative density function (CDF) method for obtaining the probability distribution of the system state described by a kinematic w…
Numerical Study of the Two-Species Vlasov-Ampère System: Energy-Conserving Schemes and the Current-Driven Ion-Acoustic Instability
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we propose energy-conserving Eulerian solvers for the two-species Vlasov-Ampère (VA) system and apply the methods to simulate current-driven ion-acoustic instability…
Energy-conserving Discontinuous Galerkin Methods for the Vlasov-Maxwell System
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we generalize the idea in our previous work for the Vlasov-Ampère (VA) system \cite{cheng_va} and develop energy-conserving discontinuous Galerkin (DG) methods for t…
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we propose energy-conserving numerical schemes for the Vlasov-Ampère (VA) systems. The VA system is a model used to describe the evolution of probability density fun…