Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs L Liu, S Jin Multiscale Modeling & Simulation 16 (3), 1085-1114, 2018 | 47 | 2018 |

An asymptotic-preserving stochastic Galerkin method for the semiconductor Boltzmann equation with random inputs and diffusive scalings S Jin, L Liu Multiscale Modeling & Simulation 15 (1), 157-183, 2017 | 41 | 2017 |

Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations IM Gamba, S Jin, L Liu Journal of Computational Physics 382, 264-290, 2019 | 18 | 2019 |

A Bi-fidelity Method for the Boltzmann Equation with Random Parameters and Multiple Scales L Liu, X Zhu Journal of Computational Physics 402 (108914), 2020 | 16* | 2020 |

Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scalings L Liu Kinetic and Related Models 11 (5), 1139-1156, 2018 | 15 | 2018 |

Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties G Bertaglia, L Liu, L Pareschi, X Zhu arXiv preprint arXiv:2110.14579, 2021 | 13 | 2021 |

Solving the linear transport equation by a deep neural network approach Z Chen, L Liu, L Mu Discrete and Continuous Dynamical Systems, Series S, 2021 | 13 | 2021 |

Hypocoercivity for a BGK model for gas mixtures L Liu, M Pirner Journal of Differential Equations 267 (1), 119-149, 2019 | 12 | 2019 |

DG-IMEX stochastic Galerkin schemes for linear transport equation with random inputs and diffusive scalings Z Chen, L Liu, L Mu Journal of Scientific Computing 73 (2), 566-592, 2017 | 12 | 2017 |

Spectral convergence of the stochastic galerkin approximation to the boltzmann equation with multiple scales and large random perturbation in the collision kernel ES Daus, S Jin, L Liu Kinetic and Related Models 12 (4), 909-922, 2019 | 11 | 2019 |

A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings L Liu Journal of Computational Physics 376, 634-659, 2019 | 10 | 2019 |

A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs L Liu, L Pareschi, X Zhu Journal of computational physics 462, 111252, 2022 | 8 | 2022 |

Error Estimate of a Bi-fidelity Method for Kinetic Equations with Random Parameters and Multiple Scales IM Gamba, S Jin, L Liu International Journal for Uncertainty Quantification 11, 57-75, 2021 | 8 | 2021 |

On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation ES Daus, S Jin, L Liu ESAIM. Mathematical Modelling and Numerical Analysis 55, 1323-1345, 2021 | 7 | 2021 |

Gaussian wave packet transform based numerical scheme for the semi-classical Schrodinger equation with random inputs S Jin, L Liu, G Russo, Z Zhou Journal of Computational Physics 401 (109015), 2020 | 7 | 2020 |

Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs N Crouseilles, S Jin, M Lemou, L Liu ESAIM: Mathematical Modelling and Numerical Analysis 54 (6), 1849-1882, 2020 | 6 | 2020 |

Multi-fidelity methods for uncertainty propagation in kinetic equations G Dimarco, L Liu, L Pareschi, X Zhu arXiv preprint arXiv:2112.00932, 2021 | 5 | 2021 |

Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses I: time discretization and asymptotic analysis IM Gamba, S Jin, L Liu Comm. Math. Sci. (a special issue in memory of David Cai) 17 (5), 1257-1289, 2019 | 5 | 2019 |

Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties L Liu, K Qi arXiv preprint arXiv:2212.04083, 2022 | 1 | 2022 |

On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation Y Wang, L Liu Journal of Computational and Applied Mathematics 438, 115504, 2024 | | 2024 |