עקוב אחר
Liu Liu (刘鎏)
Liu Liu (刘鎏)
Department of Mathematics, The Chinese University of Hong Kong
כתובת אימייל מאומתת בדומיין math.cuhk.edu.hk
כותרת
צוטט על ידי
צוטט על ידי
שנה
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
492018
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
422017
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
222021
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
222019
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
192021
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
152018
Hypocoercivity for a BGK model for gas mixtures
L Liu, M Pirner
Journal of Differential Equations 267 (1), 119-149, 2019
132019
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
122017
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
112019
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
102020
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
92022
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
92021
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
92019
Multi-fidelity methods for uncertainty propagation in kinetic equations
G Dimarco, L Liu, L Pareschi, X Zhu
arXiv preprint arXiv:2112.00932, 2021
72021
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
62021
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
62020
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
52019
Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties
L Liu, K Qi
arXiv preprint arXiv:2212.04083, 2022
32022
Asymptotic-preserving neural networks for the semiconductor Boltzmann equation and its application on inverse problems
L Liu, Y Wang, X Zhu, Z Zhu
Journal of computational physics 523, 113669, 2025
22025
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מאמרים 1–20