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 …

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 …

We propose a fifth-order well-balanced positivity-preserving finite difference alternative
WENO (AWENO) scheme with the affine-invariant WENO interpolation based on the Z-type …

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

We construct a new fifth-order flux globalization based well-balanced (WB) alternative
weighted essentially non-oscillatory (A-WENO) scheme for general nonconservative …

In this work, a bound-and positivity-preserving quasi-conservative discontinuous Galerkin
(DG) method is proposed for the γ-based model of compressible two-medium flows. The …

The Euler equations under gravitational fields allow the hydrostatic equilibrium states, which
requires that the numerical scheme of the system should also have this characteristic. In our …

For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …