High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives S Vong, P Lyu, X Chen, SL Lei Numerical Algorithms 72, 195-210, 2016 | 82 | 2016 |

A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation P Lyu, Y Liang, Z Wang Applied Numerical Mathematics 151, 448-471, 2020 | 49 | 2020 |

A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin–Bona–Mahony equation P Lyu, S Vong Journal of Scientific Computing 80 (3), 1607-1628, 2019 | 49 | 2019 |

A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions S Vong, P Lyu, Z Wang Journal of Scientific Computing 66, 725-739, 2016 | 47 | 2016 |

A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations P Lyu, S Vong Numerical Algorithms 78, 485-511, 2018 | 34 | 2018 |

A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations P Lyu, S Vong Journal of Scientific Computing 93 (1), 34, 2022 | 31 | 2022 |

Second-order BDF time approximation for Riesz space-fractional diffusion equations H Liao, P Lyu, S Vong International Journal of Computer Mathematics 95 (1), 144-158, 2018 | 29 | 2018 |

Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations H Liao, P Lyu, S Vong, Y Zhao Numerical Algorithms 75, 845-878, 2017 | 28 | 2017 |

Unconditional convergence in maximum-norm of a second-order linearized scheme for a time-fractional Burgers-type equation S Vong, P Lyu Journal of Scientific Computing 76, 1252-1273, 2018 | 27 | 2018 |

A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients XM Gu, TZ Huang, YL Zhao, P Lyu, B Carpentieri Numerical Methods for Partial Differential Equations 37 (2), 1136-1162, 2021 | 25 | 2021 |

Photocatalysis of Metallic Nanoparticles: Interband vs Intraband Induced Mechanisms P Lyu, R Espinoza, SC Nguyen The Journal of Physical Chemistry C 127 (32), 15685-15698, 2023 | 22 | 2023 |

Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models H Liao, N Liu, P Lyu SIAM Journal on Numerical Analysis 61 (5), 2157-2181, 2023 | 21 | 2023 |

On a second order scheme for space fractional diffusion equations with variable coefficients S Vong, P Lyu Applied Numerical Mathematics 137, 34-48, 2019 | 17 | 2019 |

Experimental and Thermodynamic Viewpoints on Claims of a Spontaneous H_{2}O_{2} Formation at the Air–Water InterfaceD Nguyen, P Lyu, SC Nguyen The Journal of Physical Chemistry B 127 (11), 2323-2330, 2023 | 15 | 2023 |

A fast linearized numerical method for nonlinear time-fractional diffusion equations P Lyu, S Vong Numerical Algorithms 87, 381-408, 2021 | 13 | 2021 |

A linearized second-order finite difference scheme for time fractional generalized BBM equation P Lyu, S Vong Applied Mathematics Letters 78, 16-23, 2018 | 13 | 2018 |

A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin–Bona–Mahony‐type equation with nonsmooth solutions P Lyu, S Vong Numerical Methods for Partial Differential Equations 36 (3), 579-600, 2020 | 12 | 2020 |

A linearized and second‐order unconditionally convergent scheme for coupled time fractional Klein‐Gordon‐Schrödinger equation P Lyu, S Vong Numerical Methods for Partial Differential Equations 34 (6), 2153-2179, 2018 | 10 | 2018 |

On numerical contour integral method for fractional diffusion equations with variable coefficients S Vong, P Lyu Applied Mathematics Letters 64, 137-142, 2017 | 10 | 2017 |

Mechanistic insight into deep holes from interband transitions in Palladium nanoparticle photocatalysts P Lyu, R Espinoza, MI Khan, WC Spaller, S Ghosh, SC Nguyen Iscience 25 (2), 2022 | 8 | 2022 |