84 citations · 684 across the 49 of their papers we have counts for
50 papers
Error Inhibiting Methods for Finite Elements
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
Finite Difference methods (FD) are one of the oldest and simplest methods for solving partial differential equations (PDE). Block Finite Difference methods (BFD) are FD methods in…
Loss-induced universal one-way transport in periodically driven systems
Chang Shu, Kai Zhang, Kai Sun
In this paper, we show that a periodically driven Aubry-André-Harper model with imbalanced on-site gain/loss supports universal one-way transport that is immune to impurities and i…
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu +1
Higher order finite difference Weighted Essentially Non-Oscillatory (WENO) schemes have been constructed for conservation laws. For multidimensional problems, they offer high order…
A variational quantum algorithm-based numerical method for solving potential and Stokes flows
Yangyang Liu, Zhen Chen, Chang Shu +5
This paper presents a numerical method based on the variational quantum algorithm to solve potential and Stokes flow problems. In this method, the governing equations for potential…
Application of a variational hybrid quantum-classical algorithm to heat conduction equation
Yangyang Liu, Zhen Chen, Chang Shu +3
The prosperous development of both hardware and algorithms for quantum computing (QC) potentially prompts a paradigm shift in scientific computing in various fields. As an increasi…
A primal-dual approach for solving conservation laws with implicit in time approximations
Siting Liu, Stanley Osher, Wuchen Li +1
In this work, we propose a novel framework for the numerical solution of time-dependent conservation laws with implicit schemes via primal-dual hybrid gradient methods. We solve an…