84 citations · 684 across the 49 of their papers we have counts for
6 papers · 1 filter
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…
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes
Juntao Huang, Thomas Izgin, Stefan Kopecz +2
In this paper, we perform stability analysis for a class of second and third order accurate strong-stability-preserving modified Patankar Runge-Kutta (SSPMPRK) schemes, which were…
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise
Jiawei Sun, Chi-Wang Shu, Yulong Xing
In this paper we propose and analyze finite element discontinuous Galerkin methods for the one- and two-dimensional stochastic Maxwell equations with multiplicative noise. The disc…
Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations
Kailiang Wu, Haili Jiang, Chi-Wang Shu
In the numerical simulation of ideal MHD, keeping the pressure and density positive is essential for both physical considerations and numerical stability. This is a challenge, due…
Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws
Jiayin Li, Chi-Wang Shu, Jianxian Qiu
In this paper, a high-order moment-based multi-resolution Hermite weighted essentially non-oscillatory (HWENO) scheme is designed for hyperbolic conservation laws. The main idea of…