4 citations · 7 across the 10 of their papers we have counts for
5 papers · 1 filter
A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization
Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
We construct a new fifth-order flux globalization based well-balanced (WB) alternative weighted essentially non-oscillatory (A-WENO) scheme for general nonconservative systems. The…
Local Characteristic Decomposition of Equilibrium Variables for Hyperbolic Systems of Balance Laws
Shaoshuai Chu, Alexander Kurganov, Mingye Na +2
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 reconstruction…
New Low-Dissipation Central-Upwind Schemes. Part II
Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
The low-dissipation central-upwind (LDCU) schemes have been recently introduced in [A. Kurganov and R. Xin, J. Sci. Comput., 96 (2023), Paper No. 56] as a modification of the centr…
On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws
Shaoshuai Chu, Igor Kliakhandler, Alexander Kurganov
We present counter-intuitive examples of a viscous regularizations of a two-dimensional strictly hyperbolic system of conservation laws. The regularizations are obtained using two…
Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes
Shaoshuai Chu, Michael Herty, Alexander Kurganov
We introduce local characteristic decomposition based path-conservative central-upwind schemes for (nonconservative) hyperbolic systems of balance laws. The proposed schemes are ma…