We develop fifth-order A-WENO finite-difference schemes based on the path-conservative
central-upwind method for nonconservative one-and two-dimensional hyperbolic systems of …

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 …

We propose novel less diffusive schemes for conservative one-and two-dimensional
hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges …

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 …

A class of high-order shock-capturing schemes, P n T m-BVD (Deng et al., 2019; Deng et al.,
2020) schemes, have been devised to solve the Euler equations with substantially reduced …

We construct new fifth-order alternative WENO (A-WENO) schemes for the Euler equations
of gas dynamics. The new scheme is based on a new adaptive diffusion central-upwind …

We construct a quasi-conservative alternative WENO finite difference scheme respectively
coupled with the global Lax-Friedrichs (AWENO-GLF) and the contact restored Harten-Lax …

We study experimental convergence rates of three shock‐capturing schemes for hyperbolic
systems of conservation laws: the second‐order central‐upwind (CU) scheme, the third …