The paper develops high-order accurate physical-constraints-preserving finite difference
WENO schemes for special relativistic hydrodynamical (RHD) equations, built on the local …

We consider the ultra-relativistic Euler equations for an ideal gas, which are described in
terms of the pressure p and the spatial part u∈ R 3 of the dimensionless four-velocity. We …

In this paper, we develop a discontinuous Galerkin (DG) method to solve the ideal special
relativistic hydrodynamics (RHD) and design a bound-preserving (BP) limiter for this scheme …

This paper develops the PK-based Runge–Kutta discontinuous Galerkin (RKDG) methods
with WENO limiter for the one-and two-dimensional special relativistic hydrodynamics, K= 1 …

This paper studies the physical-constraints-preserving (PCP) Lagrangian finite volume
schemes for one-and two-dimensional special relativistic hydrodynamic (RHD) equations …

The generalization of the BGK relaxation model to the special relativity setting is revisited
here. We deal with several issues related to this relativistic kinetic model which seem to …

This paper develops Runge-Kutta PK-based central discontinuous Galerkin (CDG) methods
with WENO limiter for the one-and two-dimensional special relativistic hydrodynamical …

The paper proposes a second-order accurate finite volume local evolution Galerkin (FVLEG)
method for two-dimensional special relativistic hydrodynamical (RHD) equations. Instead of …

We consider in this paper the relativistic Euler equations in isentropic fluids with the
equation of state p= κ 2 ρ, where κ, the sound speed, is a constant less than the speed of …

The authors consider the local smooth solutions to the isentropic relativistic Euler equations
in (3+ 1)-dimensional space-time for both non-vacuum and vacuum cases. The local …