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 …

A new very high-order technique for solving conservation laws with curved boundary
domains is proposed. A Finite Difference scheme on Cartesian grids is coupled with an …

The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid
model, which cannot describe certain nonequilibrium phenomena by finite collisions of …

The recently proposed targeted ENO (TENO) schemes (Fu et al. J Comput Phys 305: 333–
359, 2016) are demonstrated to feature the controllable low numerical dissipation and sharp …

The high-accuracy solution of the MHD equations is of great interest in various fields of
physics, mathematics, and engineering. Higher-order DG schemes offer low dissipation and …

In the present work, an accurate and robust solution methodology based on the high-order
weighted essentially non-oscillatory (WENO) finite-difference lattice Boltzmann method …

This paper reports a recent development of the high-order spectral difference method with
divergence cleaning (SDDC) for accurate simulations of both ideal and resistive …

High-frequency non-physical oscillations may occur due to shock waves in seismic
wavefield and dynamic rupture simulation. In this study, we introduced the alternative flux …

In this paper, we develop a high-order semi-implicit (SI) structure-preserving finite difference
weighted essentially nonoscillatory (WENO) scheme for magnetohydrodynamic (MHD) …

We develop a fast-running smooth adaptive meshing (SAM) algorithm for dynamic
curvilinear mesh generation, which is based on a fast solution strategy of the time …