Follow
Liu Liu (刘鎏)
Title
Cited by
Cited by
Year
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
502018
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
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
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
182021
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
172021
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
162018
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
132019
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
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
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
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
92020
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
Multi-fidelity methods for uncertainty propagation in kinetic equations
G Dimarco, L Liu, L Pareschi, X Zhu
arXiv preprint arXiv:2112.00932, 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
Spectral Convergence of a Semi-discretized Numerical System for the Spatially Homogeneous Boltzmann Equation with Uncertainties
L Liu, K Qi
SIAM/ASA Journal on Uncertainty Quantification 12 (3), 812-841, 2024
12024
The system can't perform the operation now. Try again later.
Articles 1–20