A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (J. Comput. Phys., 2013)

Parametrized Maximum Principle Preserving Limiter for Finite Difference WENO Schemes Solving Convection-Dominated Diffusion Equations. - Yi Jiang; Zhengfu Xu (SIAM J. Sci. Comput., 2013)

High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu; Andrew J. Christlieb (J. Comput. Phys., 2014)

Parametrized Maximum Principle Preserving Flux Limiters for High Order Schemes Solving Multi-Dimensional Scalar Hyperbolic Conservation Laws. - Chao Liang; Zhengfu Xu (J. Sci. Comput., 2014)

Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem. - Zhengfu Xu (Math. Comput., 2014)

High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. - Andrew J. Christlieb; Yuan Liu 018; Qi Tang 001; Zhengfu Xu (J. Comput. Phys., 2015)

High order operator splitting methods based on an integral deferred correction framework. - Andrew J. Christlieb; Yuan Liu 018; Zhengfu Xu (J. Comput. Phys., 2015)

Local Discontinuous Galerkin Methods for the Functionalized Cahn-Hilliard Equation. - Ruihan Guo; Yan Xu 008; Zhengfu Xu (J. Sci. Comput., 2015)

Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations. - Andrew J. Christlieb; Yuan Liu 018; Qi Tang 001; Zhengfu Xu (SIAM J. Sci. Comput., 2015)

High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (SIAM J. Sci. Comput., 2015)

An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations. - David C. Seal; Qi Tang 001; Zhengfu Xu; Andrew J. Christlieb (J. Sci. Comput., 2016)

Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (J. Sci. Comput., 2016)

High Order Maximum Principle Preserving Finite Volume Method for Convection Dominated Problems. - Pei Yang; Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (J. Sci. Comput., 2016)

Total variation bounded flux limiters for high order finite difference schemes solving one-dimensional scalar conservation laws. - Sulin Wang; Zhengfu Xu (Math. Comput., 2019)