In this paper, a hybrid unequal-sized weighted essentially non-oscillatory (US-WENO)
scheme is developed to reduce the computational cost caused by the computation of …

For strong shock waves in solutions of steady-state Euler equations, the high-order shock
capturing schemes usually suffer from the difficulty of convergence of residue close to …

In this paper, a fifth order finite difference weighted essentially non-oscillatory (WENO)
scheme based on mixed reconstruction is proposed for the simulations of unsteady …

The steady-state convergence property of prevalent weighted essentially non-oscillatory
(WENO) schemes usually relies on the sensitivity parameter. On the one hand, it is …

In this paper, a new type of increasingly high-order modified multi-resolution weighted
essentially non-oscillatory (MMR-WENO) schemes with new troubled cell indicators is …

In this paper, a new kind of hybrid method based on the weighted essentially non-oscillatory
(WENO) type reconstruction is proposed to solve hyperbolic conservation laws. Comparing …

We introduce new second-order adaptive low-dissipation central-upwind (LDCU) schemes
for the one-and two-dimensional hyperbolic systems of conservation laws. The new adaptive …

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 …

A new seventh-order weighted compact adaptive scheme is proposed in this paper. The
proposed reconstruction is inspired by the upwind compact scheme and the adaptive order …

In the last two decades, many edge detection methods have been developed and widely
used in image processing for edge detection and the hybrid compact-WENO finite difference …