Discretization of the convection term in a three-cell compact stencil has been widely used in
Computational Fluid Dynamics (CFD) of engineering because the second-order …

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

We propose third-order A-WENO finite difference schemes that are based on the recently
introduced first-order numerical schemes in [NK Garg et al., Journal of Computational …

The finite difference multi-resolution alternative weighted essentially non-oscillatory (MR-
AWENO) scheme has been designed to solve hyperbolic conservation laws (Wang et al. in …

Numerical study on compressible two-medium flows has been a hot issue in recent
decades. In this study, we design quasi-conservative finite difference alternative weighted …

The weighted essentially non-oscillatory (WENO) interpolation-based schemes (the
alternative WENO (AWENO) scheme and the explicit weighted compact nonlinear (WCNS …

Developing accurate, efficient and robust shock-capturing schemes on non-uniform grids
remains challenging particularly when facing strong non-uniformity. Thus, we extend the …

In this paper, we propose a fifth order well-balanced positivity-preserving finite difference
scale-invariant AWENO scheme for the compressible Euler equations with gravitational …

This paper proposes high-order accurate, oscillation-eliminating, Hermite weighted
essentially non-oscillatory (OE-HWENO) finite volume schemes for hyperbolic conservation …

In solving hyperbolic conservation laws using the fifth-order characteristic-wise alternative
WENO finite-difference scheme (AWENO) with Z-type affine-invariant nonlinear Ai-weights …