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 | 102 | 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 | 46 | 2021 |
A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation J Chen, S Jin, L Lyu Communications in Computational Physics 31 (4), 1296-1316, 2022 | 34 | 2022 |
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 | 31* | 2021 |
Reproducing activation function for deep learning S Liang, L Lyu, C Wang, H Yang arXiv preprint arXiv:2101.04844, 2021 | 23 | 2021 |
Construction of coarse-grained molecular dynamics with many-body non-Markovian memory L Lyu, H Lei Physical Review Letters 131 (17), 177301, 2023 | 13 | 2023 |
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 | 11 | 2022 |
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 Stochastic Control L Lyu, J Chen arXiv preprint arXiv:2501.17801, 2025 | | 2025 |
On the generalization ability of coarse-grained molecular dynamics models for non-equilibrium processes L Lyu, H Lei arXiv preprint arXiv:2409.11519, 2024 | | 2024 |
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 |