54 citations · 104 across the 8 of their papers we have counts for
7 papers · 1 filter
An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations
David C. Seal, Qi Tang, Zhengfu Xu +1
In this work we construct a high-order, single-stage, single-step positivity-preserving method for the compressible Euler equations. Space is discretized with the finite difference…
High order operator splitting methods based on an integral deferred correction framework
Andrew J. Christlieb, Yuan Liu, Zhengfu Xu
Integral deferred correction (IDC) methods have been shown to be an efficient way to achieve arbitrary high order accuracy and possess good stability properties. In this paper, we…
Positivity-Preserving Finite Difference WENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations
Andrew J. Christlieb, Yuan Liu, Qi Tang +1
In this paper, we utilize the maximum-principle-preserving flux limiting technique, originally designed for high order weighted essentially non-oscillatory (WENO) methods for scala…
High order maximum principle preserving discontinuous Galerkin method for convection-diffusion equations
Tao Xiong, Jingmei Qiu, Zhengfu Xu
In this paper, we propose to apply the parametrized maximum-principle-preserving (MPP) flux limiter in [Xiong et. al., JCP, 2013] to the discontinuous Galerkin (DG) method for solv…
High order maximum principle preserving finite volume method for convection dominated problems
Pei Yang, Tao Xiong, Jing-Mei Qiu +1
In this paper, we investigate the application of the maximum principle preserving (MPP) parametrized flux limiters to the high order finite volume scheme with Runge-Kutta time disc…
Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations
Tao Xiong, Jing-Mei Qiu, Zhengfu Xu
In this paper, we develop parametrized positivity satisfying flux limiters for the high order finite difference Runge-Kutta weighted essentially non-oscillatory (WENO) scheme solvi…
High Order Maximum Principle Preserving Semi-Lagrangian Finite Difference WENO schemes for the Vlasov Equation
Tao Xiong, Jing-Mei Qiu, Zhengfu Xu +1
In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter, originally developed in [Z. Xu, Math. Comp., (2013), in press], to the semi- Lagrangian…