4 citations · 8 across the 9 of their papers we have counts for
10 papers
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…
A High-Order Compact Hermite Difference Method for Double-Diffusive Convection
Jianqing Yang, Jianxian Qiu
In this paper, a class of high-order compact finite difference Hermite scheme is presented for the simulation of double-diffusive convection. To maintain linear stability, the conv…
Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations
Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu +1
In this paper, we develop high-order, conservative, non-splitting Eulerian-Lagrangian (EL) Runge-Kutta (RK) finite volume (FV) weighted essentially non-oscillatory (WENO) schemes f…
High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state transport equation
Yupeng Ren, Yulong Xing, Dean Wang +1
In this paper, we propose to combine the fifth order Hermite weighted essentially non-oscillatory (HWENO) scheme and fast sweeping method (FSM) for the solution of the steady-state…
A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux
Dongmi Luo, Shiyi Li, Weizhang Huang +2
A high-order quasi-conservative discontinuous Galerkin (DG) method is proposed for the numerical simulation of compressible multi-component flows. A distinct feature of the method…
High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations
Yupeng Ren, Yulong Xing, Jianxian Qiu
In this paper, we propose a novel Hermite weighted essentially non-oscillatory (HWENO) fast sweeping method to solve the static Hamilton-Jacobi equations efficiently. During the HW…