Prati
Liu Liu (刘鎏)
Liu Liu (刘鎏)
Department of Mathematics, The Chinese University of Hong Kong
Potvrđena adresa e-pošte na math.cuhk.edu.hk
Naslov
Citirano
Citirano
Godina
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
472018
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
412017
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
182019
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
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
132021
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
132021
Hypocoercivity for a BGK model for gas mixtures
L Liu, M Pirner
Journal of Differential Equations 267 (1), 119-149, 2019
122019
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
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
102019
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
82022
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
82021
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
72021
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
72020
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
Multi-fidelity methods for uncertainty propagation in kinetic equations
G Dimarco, L Liu, L Pareschi, X Zhu
arXiv preprint arXiv:2112.00932, 2021
52021
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
12022
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
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