Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems D Zhang, L Lu, L Guo, GE Karniadakis
Journal of Computational Physics 397, 108850, 2019
391 2019 Learning in modal space: Solving time-dependent stochastic PDEs using physics-informed neural networks D Zhang, L Guo, GE Karniadakis
SIAM Journal on Scientific Computing 42 (2), A639-A665, 2020
210 2020 Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons AF Psaros, X Meng, Z Zou, L Guo, GE Karniadakis
Journal of Computational Physics 477, 111902, 2023
171 2023 STOCHASTIC COLLOCATION ALGORITHMS USING 𝓁1 -MINIMIZATION L Yan, L Guo, D Xiu
International Journal for Uncertainty Quantification 2 (3), 2012
149 2012 H 1-Galerkin mixed finite element method for the regularized long wave equation L Guo, H Chen
Computing 77 (2), 205-221, 2006
86 2006 H1-Galerkin mixed finite element method for the Sobolev equation L Guo, HZ Chen
Journal of Systems Science and Mathematical Sciences 26 (3), 301-314, 2006
53 2006 Efficient multistep methods for tempered fractional calculus: algorithms and simulations L Guo, F Zeng, I Turner, K Burrage, GE Karniadakis
SIAM Journal on Scientific Computing 41 (4), A2510-A2535, 2019
49 2019 A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions L Guo, A Narayan, T Zhou
Journal of Computational Physics 367, 49-64, 2018
47 2018 Constructing least-squares polynomial approximations L Guo, A Narayan, T Zhou
SIAM Review 62 (2), 483-508, 2020
46 2020 Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations L Guo, H Wu, X Yu, T Zhou
Computer Methods in Applied Mechanics and Engineering 400, 115523, 2022
42 2022 Normalizing field flows: Solving forward and inverse stochastic differential equations using physics-informed flow models L Guo, H Wu, T Zhou
Journal of Computational Physics 461, 111202, 2022
35 2022 Stochastic Collocation Algorithms Using l_1-Minimization for Bayesian Solution of Inverse Problems L Yan, L Guo
SIAM Journal on Scientific Computing 37 (3), A1410-A1435, 2015
34 2015 Weighted approximate Fekete points: Sampling for least-squares polynomial approximation L Guo, A Narayan, L Yan, T Zhou
SIAM Journal on Scientific Computing 40 (1), A366-A387, 2018
33 2018 Stochastic Collocation Methods via Minimization Using Randomized Quadratures L Guo, A Narayan, T Zhou, Y Chen
SIAM Journal on Scientific Computing 39 (1), A333-A359, 2017
27 2017 Data-driven polynomial chaos expansions: A weighted least-square approximation L Guo, Y Liu, T Zhou
Journal of Computational Physics 381, 129-145, 2019
25 2019 Vibration analysis of Kirchhoff plates by the Morley element method J Huang, L Guo, Z Shi
Journal of Computational and Applied Mathematics 213 (1), 14-34, 2008
14 2008 A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications. Y Huang, Q Li, R Li, F Zeng, L Guo
Numerical Mathematics: Theory, Methods & Applications 15 (3), 2022
13 2022 Blood cells as supercarrier systems for advanced drug delivery S Wang, K Han, S Ma, X Qi, L Guo, X Li
Medicine in Drug Discovery 13, 100119, 2022
12 2022 Error estimate of the fast L1 method for time-fractional subdiffusion equations Y Huang, F Zeng, L Guo
Applied Mathematics Letters 133, 108288, 2022
7 2022 Stochastic collocation methods via minimization of Transformed penalty L Guo, J Li, Y Liu
arXiv preprint arXiv:1805.05416, 2018
7 2018