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 …

This paper proposes and analyzes arbitrarily high-order discontinuous Galerkin (DG) and
finite volume methods which provably preserve the positivity of density and pressure for the …

In the numerical simulation of ideal magnetohydrodynamics (MHD), keeping the pressure
and density always positive is essential for both physical considerations and numerical …

The density and pressure are positive physical quantities in magnetohydrodynamics (MHD).
Design of provably positivity-preserving (PP) numerical schemes for ideal compressible …

Numerical schemes provably preserving the positivity of density and pressure are highly
desirable for ideal magnetohydrodynamics (MHD), but the rigorous positivity-preserving …

The paper develops high-order physical-constraint-preserving (PCP) methods for general
relativistic hydrodynamic (GRHD) equations, equipped with a general equation of state …

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 …

This paper proposes and analyzes a novel efficient high-order finite volume method for the
ideal magnetohydrodynamics (MHD). As a distinctive feature, the method simultaneously …

The magnetohydrodynamics (MHD) equations are continuum models used in the study of a
wide range of plasma physics systems, including the evolution of complex plasma dynamics …

A high-order finite difference numerical scheme is developed for the ideal
magnetohydrodynamic equations based on an alternative flux formulation of the weighted …