Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …

There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

An alternative formulation of targeted ENO scheme (AFTENO) is proposed for hyperbolic
conservation laws. The new scheme combines the advantages of targeted ENO (TENO) and …

In this paper, a class of weighted essentially non-oscillatory (WENO) schemes based on
Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving one and two …

In this paper, we construct a positivity-preserving high order accurate finite volume hybrid
Hermite Weighted Essentially Non-oscillatory (HWENO) scheme for compressible Navier …

Abstract In Liu and Qiu (J Sci Comput 63: 548–572, 2015), we presented a class of finite
difference Hermite weighted essentially non-oscillatory (HWENO) schemes for conservation …

In this paper, we present a class of new Hermite weighted essentially non-oscillatory
(HWENO) schemes based on finite volume framework to directly solve the Hamilton–Jacobi …

In this continuing paper of (Zhu and Qiu, J Comput Phys 318 (2016), 110–121), a new fifth
order finite difference weighted essentially non‐oscillatory (WENO) scheme is designed to …