For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

The purpose of this work is to propose a novel a posteriori finite volume subcell limiter
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …

Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

In this paper a new simple fifth order weighted essentially non-oscillatory (WENO) scheme is
presented in the finite difference framework for solving the hyperbolic conservation laws …

In this paper, a new type of high-order finite difference and finite volume multi-resolution
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …

We construct a local Lax–Friedrichs type positivity-preserving flux for compressible Navier–
Stokes equations, which can be easily extended to multiple dimensions for generic forms of …

Suppressing spurious oscillations is crucial for designing reliable high-order numerical
schemes for hyperbolic conservation laws, yet it has been a challenge actively investigated …

In this paper we propose a simple, robust and accurate nonlinear a posteriori stabilization of
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …

In this paper we generalize a new type of limiters based on the weighted essentially non-
oscillatory (WENO) finite volume methodology for the Runge–Kutta discontinuous Galerkin …