| MIM: A deep mixed residual method for solving high-order partial differential equations L Lyu, Z Zhang, M Chen, J Chen Journal of Computational Physics 452, 110930, 2022 | 80 | 2022 |
| Enforcing exact boundary and initial conditions in the deep mixed residual method L Lyu, K Wu, R Du, J Chen CSIAM Transactions on Applied Mathematics 2 (4), 748--775, 2021 | 33 | 2021 |
| Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks J Chen, R Du, P Li, L Lyu NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 14 (2), 377-404, 2021 | 26* | 2021 |
| A consensus-based global optimization method with adaptive momentum estimation J Chen, S Jin, L Lyu arXiv preprint arXiv:2012.04827, 2020 | 21 | 2020 |
| Reproducing activation function for deep learning S Liang, L Lyu, C Wang, H Yang arXiv preprint arXiv:2101.04844, 2021 | 18 | 2021 |
| A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties J Chen, S Jin, L Lyu Journal of Computational Mathematics 40, 2022 | 7 | 2022 |
| Construction of coarse-grained molecular dynamics with many-body non-Markovian memory L Lyu, H Lei Physical Review Letters 131 (17), 177301, 2023 | 5 | 2023 |
| A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains. L Lyu, Z Zhang, J Chen Numerical Mathematics: Theory, Methods & Applications 13 (4), 2020 | 3 | 2020 |
| Consensus-based construction of high-dimensional free energy surface L Lyu, H Lei arXiv preprint arXiv:2311.05009, 2023 | | 2023 |
| Local discontinuous Galerkin methods with novel basis for fractional diffusion equations with non-smooth solutions L Lyu, Z Chen Communications on Applied Mathematics and Computation 4 (1), 227-249, 2022 | | 2022 |
