Anti-diffusive flux corrections for high order finite difference WENO schemes Z Xu, CW Shu Journal of Computational Physics 205 (2), 458-485, 2005 | 182 | 2005 |

Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem Z Xu Mathematics of Computation 83 (289), 2213-2238, 2014 | 79 | 2014 |

Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations T Xiong, JM Qiu, Z Xu Journal of Scientific Computing 67 (3), 1066-1088, 2016 | 51 | 2016 |

High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes AJ Christlieb, Y Liu, Q Tang, Z Xu Journal of Computational Physics 281, 334-351, 2015 | 47 | 2015 |

Variational models of network formation and ion transport: applications to perfluorosulfonate ionomer membranes N Gavish, J Jones, Z Xu, A Christlieb, K Promislow Polymers 4 (1), 630-655, 2012 | 44 | 2012 |

Parametrized maximum principle preserving flux limiters for high order schemes solving multi-dimensional scalar hyperbolic conservation laws C Liang, Z Xu Journal of Scientific Computing 58 (1), 41-60, 2014 | 43 | 2014 |

Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations AJ Christlieb, Y Liu, Q Tang, Z Xu SIAM Journal on Scientific Computing 37 (4), A1825-A1845, 2015 | 42 | 2015 |

A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows T Xiong, JM Qiu, Z Xu Journal of Computational Physics 252, 310-331, 2013 | 40 | 2013 |

High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation T Xiong, JM Qiu, Z Xu, A Christlieb Journal of Computational Physics 273, 618-639, 2014 | 38 | 2014 |

High order maximum-principle-preserving discontinuous Galerkin method for convection-diffusion equations T Xiong, JM Qiu, Z Xu SIAM Journal on Scientific Computing 37 (2), A583-A608, 2015 | 37 | 2015 |

Anti-diffusive finite difference WENO methods for shallow water with transport of pollutant Z Xu, CW Shu Journal of Computational Mathematics, 239-251, 2006 | 37 | 2006 |

An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations DC Seal, Q Tang, Z Xu, AJ Christlieb Journal of Scientific Computing 68 (1), 171-190, 2016 | 25 | 2016 |

Bound-preserving high-order schemes Z Xu, X Zhang Handbook of Numerical Analysis 18, 81-102, 2017 | 22 | 2017 |

High order operator splitting methods based on an integral deferred correction framework AJ Christlieb, Y Liu, Z Xu Journal of Computational Physics 294, 224-242, 2015 | 21 | 2015 |

Local discontinuous Galerkin methods for the functionalized Cahn–Hilliard equation R Guo, Y Xu, Z Xu Journal of Scientific Computing 63 (3), 913-937, 2015 | 21 | 2015 |

Parametrized maximum principle preserving limiter for finite difference WENO schemes solving convection-dominated diffusion equations Y Jiang, Z Xu SIAM Journal on Scientific Computing 35 (6), A2524-A2553, 2013 | 19 | 2013 |

Anti-diffusive high order WENO schemes for Hamilton-Jacobi equations Z Xu, CW Shu Methods and Applications of Analysis 12 (2), 169-190, 2005 | 18 | 2005 |

On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method A Christlieb, K Promislow, Z Xu Communications in Mathematical Sciences 11 (2), 345-360, 2013 | 17 | 2013 |

High order maximum principle preserving finite volume method for convection dominated problems P Yang, T Xiong, JM Qiu, Z Xu Journal of Scientific Computing 67 (2), 795-820, 2016 | 16 | 2016 |

A numerical scheme for nonlinear Helmholtz equations with strong nonlinear optical effects Z Xu, G Bao JOSA A 27 (11), 2347-2353, 2010 | 13 | 2010 |