54 citations · 205 across the 33 of their papers we have counts for
33 papers
An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations
Shun Li, Yan Jiang, Mengping Zhang +1
In this paper, we develop an asymptotic-preserving (AP) dynamical low-rank semi-Lagrangian method for multiscale linear kinetic transport equations. The method combines the large-t…
Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In our previous work [29], we proposed a class of high-order asymptotic preserving (AP) finite difference weighted essentially non-oscillatory (WENO) schemes for solving the shallo…
Discrete hypocoercive estimates for discontinuous Galerkin methods: application to the Vlasov-Poisson-Fokker-Planck system
Yi Cai, Alain Blaustein, Tao Xiong +1
We develop and analyze a class of structure-preserving discontinuous Galerkin schemes for the nonlinear Vlasov-Poisson-Fokker-Planck model, reformulated as a hyperbolic system thro…
Temporal-Stability-Enhanced and Energy-Stable Dynamical Low-Rank Approximation for Multiscale Linear Kinetic Transport Equations
Shun Li, Yan Jiang, Mengping Zhang +1
In this paper, we develop an asymptotic-preserving dynamical low-rank method for the multiscale linear kinetic transport equation. The proposed scheme is unconditionally stable in…
Bound-Preserving WENO Schemes for Temple-class systems
Wei Chen, Shumo Cui, Kailiang Wu +2
This paper explores numerical schemes for Temple-class systems, which are integral to various applications including one-dimensional two-phase flow, elasticity, traffic flow, and s…
High order well-balanced and total-energy-conserving local discontinuous Galerkin methods for compressible self-gravitating Euler equations
Liang Pan, Wei Chen, Jianxian Qiu +1
In this paper, we develop a high order structure-preserving local discontinuous Galerkin (DG) scheme for the compressible self-gravitating Euler equations, which pose great challen…
An efficient asymptotic preserving Monte Carlo method for frequency-dependent radiative transfer equations
Yiyang Hong, Yi Shi, Yi Cai +1
In this paper, we develop an efficient asymptotic-preserving (AP) Monte Carlo (MC) method for frequency-dependent radiative transfer equations (RTEs), which is based on the AP-MC m…
An asymptotic-preserving IMEX PN method for the gray model of the radiative transfer equation
Jinxue Fu, Juan Cheng, Weiming Li +2
An asymptotic-preserving (AP) implicit-explicit PN numerical scheme is proposed for the gray model of the radiative transfer equation, where the first- and second-order numerical s…
Bound-preserving OEDG schemes for Aw-Rascle-Zhang traffic models on networks
Wei Chen, Shumo Cui, Kailiang Wu +1
Physical solutions to the widely used Aw-Rascle-Zhang (ARZ) traffic model and the adapted pressure (AP) ARZ model should satisfy the positivity of density, the minimum and maximum…
High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format
William A. Sands, Wei Guo, Jing-Mei Qiu +1
In this paper, we present a new adaptive rank approximation technique for computing solutions to the high-dimensional linear kinetic transport equation. The approach we propose is…
High order conservative LDG-IMEX methods for the degenerate nonlinear non-equilibrium radiation diffusion problems
Shaoqin Zheng, Min Tang, Qiang Zhang +1
In this paper, we develop a class of high-order conservative methods for simulating non-equilibrium radiation diffusion problems. Numerically, this system poses significant challen…
High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In this study, we investigate the Shallow Water Equations incorporating source terms accounting for Manning friction and a non-flat bottom topology. Our primary focus is on develop…
High order asymptotic preserving well-balanced finite difference WENO schemes for all Mach full Euler equations with gravity
Guanlan Huang, Yulong Xing, Tao Xiong
In this paper, we propose a high order semi-implicit well-balanced finite difference scheme for all Mach Euler equations with a gravitational source term. To obtain the asymptotic…
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers
Wei Chen, Kailiang Wu, Tao Xiong
In this paper, a high-order semi-implicit (SI) asymptotic preserving (AP) and divergence-free finite difference weighted essentially nonoscillatory (WENO) scheme is proposed for ma…
Asymptotic preserving and uniformly unconditionally stable finite difference schemes for kinetic transport equations
Guoliang Zhang, Hongqiang Zhu, Tao Xiong
In this paper, uniformly unconditionally stable first and second order finite difference schemes are developed for kinetic transport equations in the diffusive scaling. We first de…
High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers
Guanlan Huang, Yulong Xing, Tao Xiong
In this paper, high order semi-implicit well-balanced and asymptotic preserving finite difference WENO schemes are proposed for the shallow water equations with a non-flat bottom t…
High Order Semi-implicit WENO Schemes for All Mach Full Euler System of Gas Dynamics
Sebastiano Boscarino, Jing-Mei Qiu, Giovanni Russo +1
In this paper, we propose a new high order semi-implicit scheme for the all Mach full Euler equations of gas dynamics. Material waves are treated explicitly, while acoustic waves a…
High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations
Tao Xiong, Wenjun Sun, Yi Shi +1
In this paper, we will develop a class of high order asymptotic preserving (AP) discontinuous Galerkin (DG) methods for nonlinear time-dependent gray radiative transfer equations (…
Conservative discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System
Francis Filbet, Tao Xiong
We propose a class of conservative discontinuous Galerkin methods for the Vlasov-Poisson system written as a hyperbolic system using Hermite polynomials in the velocity variable. T…
A Hybrid Discontinuous Galerkin Scheme for Multi-scale Kinetic Equations
Francis Filbet, Tao Xiong
We develop a multi-dimensional hybrid discontinuous Galerkin method for multi-scale kinetic equations. This method is based on moment realizability matrices, a concept introduced b…
A high order bound preserving finite difference linear scheme for incompressible flows
Tao Xiong
We propose a high order finite difference linear scheme combined with a high order bound preserving maximum-principle-preserving (MPP) flux limiter to solve the incompressible flow…
Conservative Multi-Dimensional Semi-Lagrangian Finite Difference Scheme: Stability and Applications to the Kinetic and Fluid Simulations
Tao Xiong, Giovanni Russo, Jing-Mei Qiu
In this paper, we propose a mass conservative semi-Lagrangian finite difference scheme for multi-dimensional problems without dimensional splitting. The semi-Lagrangian scheme, bas…
High Order Hierarchical Asymptotic Preserving Nodal Discontinuous Galerkin IMEX Schemes For The BGK Equation
Tao Xiong, Jingmei Qiu
A class of high order asymptotic preserving (AP) schemes has been developed for the BGK equation in Xiong et. al. (2015) [37], which is based on the micro-macro formulation of the…
High Order Asymptotic Preserving Nodal Discontinuous Galerkin IMEX Schemes for the BGK Equation
Tao Xiong, Juhi Jang, Fengyan Li +1
In this paper, we develop high-order asymptotic preserving (AP) schemes for the BGK equation in a hyperbolic scaling, which leads to the macroscopic models such as the Euler and co…