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 …

A comparative experimental accuracy study of three shock-capturing schemes (the second-
order CABARET, third-order Rusanov, and fifth-order in space third-order in time A-WENO …

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

The fifth‐order alternative finite difference weighted essentially non‐oscillatory (A‐WENO5)
scheme is dominated by the truncation error of interpolation, resulting in a loss of one order …

We develop new adaptive alternative weighted essentially non-oscillatory (A-WENO)
schemes for hyperbolic systems of conservation laws. The new schemes employ the …

We introduce second-order low-dissipation (LD) path-conservative central-upwind (PCCU)
schemes for the one-(1-D) and two-dimensional (2-D) multifluid systems, whose …

In this paper, we explore the use of the Virtual Element Method concepts to solve scalar and
system hyperbolic problems on general polygonal grids. The new schemes stem from the …

A comparative analysis of the accuracy of shock-capturing schemes, such as the RBM
(Rusanov–Burstein–Mirin), CWA (Compact high order Weak Approximation), and A-WENO …

This paper is concerned with high-order numerical methods for hyperbolic systems of
balance laws. Such methods are typically based on high-order piecewise polynomial …

The accuracy of the CABARET scheme (of second order) is compared with the accuracy of
the WENO5 and A-WENO schemes (of fifth order in space and fourth order in time) as …