In Xu (2013) [14], a class of parametrized flux limiters is developed for high order finite difference/volume essentially non-oscillatory (ENO) and Weighted ENO (WENO) schemes coupled with total variation diminishing (TVD) Runge-Kutta (RK) temporal integration for solving scalar hyperbolic conservation laws to achieve strict maximum principle preserving (MPP). In this paper, we continue along this line of research, but propose to apply the parametrized MPP flux limiter only to the final stage of any explicit RK method. Compared with the original work (Xu, 2013) [14], the proposed new approach has several advantages: First, the MPP property is preserved with high order accuracy without as much time step restriction; Second, the implementatio...
The paper develops high-order accurate physical-constraints-preserving finite difference WENO scheme...
In [J. Qiu, C.-W. Shu, Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM Journal o...
Abstract—High resolution, finite-volume, conservative schemes, based on the classical MUSCL (Mono-to...
In this paper, we will extend the strict maximum principle preserving flux limiting technique develo...
© 2014. In this paper, we generalize the maximum-principle-preserving (MPP) flux limiting technique ...
The maximum principle is an important property of solutions to PDE. Correspondingly, it\u27s of grea...
In this dissertation, several high-order numerical methods for solving time dependent problems are s...
This dissertation includes four Chapters. A brief description about each chapter is organized as fol...
In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter, original...
© 2015 Society for Industrial and Applied Mathematics. In this paper, we utilize the maximum-princip...
The present paper deals with an efficient and accurate multi-dimensional limiting strategy for hyper...
Abstract. The purpose of this paper is to carry out a modification of the finite volume WENO (weight...
The ultimate goal of this article is to develop a robust and accurate numerical method for solving h...
In this paper we investigate fully discrete high-order TVD schemes for a scalar hyper- bolic conser...
In this dissertation, we consider high order accurate, implicit, finite volume, weighted essentially...
The paper develops high-order accurate physical-constraints-preserving finite difference WENO scheme...
In [J. Qiu, C.-W. Shu, Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM Journal o...
Abstract—High resolution, finite-volume, conservative schemes, based on the classical MUSCL (Mono-to...
In this paper, we will extend the strict maximum principle preserving flux limiting technique develo...
© 2014. In this paper, we generalize the maximum-principle-preserving (MPP) flux limiting technique ...
The maximum principle is an important property of solutions to PDE. Correspondingly, it\u27s of grea...
In this dissertation, several high-order numerical methods for solving time dependent problems are s...
This dissertation includes four Chapters. A brief description about each chapter is organized as fol...
In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter, original...
© 2015 Society for Industrial and Applied Mathematics. In this paper, we utilize the maximum-princip...
The present paper deals with an efficient and accurate multi-dimensional limiting strategy for hyper...
Abstract. The purpose of this paper is to carry out a modification of the finite volume WENO (weight...
The ultimate goal of this article is to develop a robust and accurate numerical method for solving h...
In this paper we investigate fully discrete high-order TVD schemes for a scalar hyper- bolic conser...
In this dissertation, we consider high order accurate, implicit, finite volume, weighted essentially...
The paper develops high-order accurate physical-constraints-preserving finite difference WENO scheme...
In [J. Qiu, C.-W. Shu, Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM Journal o...
Abstract—High resolution, finite-volume, conservative schemes, based on the classical MUSCL (Mono-to...