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 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 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 …

In this paper, we propose a new discontinuous sensor and a finite difference hybrid unequal-
sized weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy for …

We construct a positivity-preserving and well-balanced high order accurate finite difference
scheme for solving shallow water equations under the fourth order compact finite difference …

本文提出了求解具有不连续孔隙度和底部地形的一维多孔浅水方程的高阶平衡保正有限差分
AWENO 格式, 所提出的格式保持了静水稳态的良好平衡特性. 在这个数值框架中 …

The Ripa model consists of the shallow water equations and terms which take the horizontal
temperature fluctuations into account. The pollutant transport model describes the transport …

Welcome to the lecture notes on A Personal Journey in the World of WENO, 8 which is
presented as a mini-course in the Special Program on Numerical Methods 9 for Nonlinear …

We propose a fifth-order finite-difference bound-and positivity-preserving (BP-P) path-
conservative central-upwind alternative weighted essentially non-oscillatory (PCCU …

A high-order characteristic-wise affine-invariant WENO-Z (Ai-WENO-Z) finite difference
scheme with the local Lax-Friedrichs flux splitting captures shock essentially non-oscillatory …