Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation R Guo, Y Xu SIAM Journal on Scientific Computing 38 (1), A105-A127, 2016 | 36 | 2016 |

Efficient solvers of discontinuous Galerkin discretization for the Cahn–Hilliard equations R Guo, Y Xu Journal of Scientific Computing 58 (2), 380-408, 2014 | 36 | 2014 |

An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system R Guo, Y Xia, Y Xu Journal of Computational Physics 264, 23-40, 2014 | 33 | 2014 |

High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation R Guo, L Ji, Y Xu Journal of Computational Mathematics, 135-158, 2016 | 23 | 2016 |

Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations R Guo, Y Xia, Y Xu Journal of Computational Physics 338, 269-284, 2017 | 21 | 2017 |

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 |

A high order adaptive time-stepping strategy and local discontinuous Galerkin method for the modified phase field crystal equation R Guo, Y Xu Comput. Phys 24 (1), 123-151, 2018 | 18 | 2018 |

Semi-implicit spectral deferred correction method based on the invariant energy quadratization approach for phase field problems, Commun R Guo, Y Xu Comput. Phys 26 (1), 87-113, 2019 | 13 | 2019 |

Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs R Guo, F Filbet, Y Xu Journal of Scientific Computing 68 (3), 1029-1054, 2016 | 12 | 2016 |

An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn–Hilliard–Brinkman system R Guo, Y Xu Journal of Computational Physics 298, 387-405, 2015 | 7 | 2015 |

Efficient, accurate and energy stable discontinuous Galerkin methods for phase field models of two-phase incompressible flows R Guo, Y Xu Commun. Comput. Phys 26 (4), 1224-1248, 2019 | 5 | 2019 |

Fast solver for the local discontinuous Galerkin discretization of the KdV type equations R Guo, Y Xu Communications in Computational Physics 17 (2), 424-457, 2015 | 3 | 2015 |

Numerical simulation and error estimates for the local discontinuos Galerkin method of the Allen-Cahn equation R Guo, L Ji, Y Xu 2013, 2013 | 3 | 2013 |

Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces F Zhang, Y Xu, F Chen, R Guo Communications in Computational Physics, 0 | 3* | |

High Order Numerical Simulations for the Binary Fluid--Surfactant System Using the Discontinuous Galerkin and Spectral Deferred Correction Methods R Guo, Y Xu SIAM Journal on Scientific Computing 42 (2), B353-B378, 2020 | 2 | 2020 |

A p-Adaptive Local Discontinuous Galerkin Level Set Method for Willmore Flow R Guo, F Filbet Journal of Scientific Computing 76 (2), 1148-1167, 2018 | 1 | 2018 |

Optimal Error Estimates of the Local Discontinuous Galerkin Method and High-order Time Discretization Scheme for the Swift–Hohenberg Equation L Zhou, R Guo Journal of Scientific Computing 93 (2), 1-30, 2022 | | 2022 |

Stability and Error Estimates of a Novel Spectral Deferred Correction Time-Marching with Local Discontinuous Galerkin Methods for Parabolic Equations L Zhou, W Chen, R Guo Computational Methods in Applied Mathematics, 2022 | | 2022 |

A p-adaptive local discontinuous galerkin level set method for Willmore flow R Guo, F Filbet arXiv preprint arXiv:1603.04260, 2016 | | 2016 |

Communications in Computational Physics R Guo, Y Xu | | 2015 |