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
503 2019 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
291 2023 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
270 2020 STOCHASTIC COLLOCATION ALGORITHMS USING 𝓁1 -MINIMIZATION L Yan, L Guo, D Xiu
International Journal for Uncertainty Quantification 2 (3), 2012
156 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 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
77 2022 Constructing least-squares polynomial approximations L Guo, A Narayan, T Zhou
SIAM Review 62 (2), 483-508, 2020
57 2020 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
56 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
55 2018 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
53 2022 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
51 2006 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
36 2018 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
35 2015 Data-driven polynomial chaos expansions: A weighted least-square approximation L Guo, Y Liu, T Zhou
Journal of Computational Physics 381, 129-145, 2019
29 2019 Stochastic Collocation Methods via L Guo, A Narayan, T Zhou, Y Chen
SIAM Journal on Scientific Computing 39 (1), A333-A359, 2017
28 2017 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
19 2022 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
14 2022 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 Stochastic Collocation via l 1 -Minimisation on Low Discrepancy Point Sets with Application to Uncertainty Quantification Y Liu, L Guo
East Asian Journal on Applied Mathematics 6 (2), 171-191, 2016
10 2016 Probing the interaction between supercarrier rbc membrane and nanoparticles for optimal drug delivery S Wang, S Ma, R Li, X Qi, K Han, L Guo, X Li
Journal of Molecular Biology 435 (1), 167539, 2023
9 2023 
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVahvistettu sähköpostiosoite verkkotunnuksessa brown.edu
