SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems P Jin, Z Zhang, A Zhu, Y Tang, GE Karniadakis Neural Networks 132, 166-179, 2020 | 179 | 2020 |
Deep Hamiltonian networks based on symplectic integrators A Zhu, P Jin, Y Tang arXiv preprint arXiv:2004.13830, 2020 | 30 | 2020 |
On numerical integration in neural ordinary differential equations A Zhu, P Jin, B Zhu, Y Tang International Conference on Machine Learning, 27527-27547, 2022 | 21 | 2022 |
Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems S Wu, A Zhu, Y Tang, B Lu arXiv preprint arXiv:2203.03407, 2022 | 11 | 2022 |
Inverse modified differential equations for discovery of dynamics A Zhu, P Jin, B Zhu, Y Tang arXiv preprint arXiv:2009.01058, 2020 | 8 | 2020 |
Approximation capabilities of measure-preserving neural networks A Zhu, P Jin, Y Tang Neural Networks 147, 72–80, 2021 | 7 | 2021 |
Unit triangular factorization of the matrix symplectic group P Jin, Y Tang, A Zhu SIAM Journal on Matrix Analysis and Applications 41 (4), 1630-1650, 2020 | 6 | 2020 |
Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets A Zhu, T Bertalan, B Zhu, Y Tang, IG Kevrekidis arXiv preprint arXiv:2303.17824, 2023 | 4 | 2023 |
Deep Hamiltonian neural networks based on symplectic integrators A Zhu, P Jin, Y Tang Mathematica Numerica Sinica 42 (3), 370, 2020 | 3 | 2020 |
Effective numerical simulations of synchronous generator system J Zhang, A Zhu, F Ji, C Lin, Y Tang Simulation 100 (6), 595-611, 2024 | 2 | 2024 |
Adaptive energy-preserving algorithms for guiding center system ZHU Beibei, LIU Jian, J Zhang, ZHU Aiqing, T Yifa Plasma Science and Technology 25 (4), 045102, 2023 | 2 | 2023 |
Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems B Zhu, L Ji, A Zhu, Y Tang Chinese Physics B 32 (2), 020204, 2023 | 2 | 2023 |
VPNets: Volume-preserving neural networks for learning source-free dynamics A Zhu, B Zhu, J Zhang, Y Tang, J Liu Journal of Computational and Applied Mathematics 416, 114523, 2022 | 2 | 2022 |
Error analysis based on inverse modified differential equations for discovery of dynamics using linear multistep methods and deep learning A Zhu, S Wu, Y Tang arXiv preprint arXiv:2209.12123, 2022 | 2 | 2022 |
On convergence of neural network methods for solving elliptic interface problems S Wu, A Zhu, Y Tang, B Lu arXiv preprint arXiv:2203.03407, 2022 | 2 | 2022 |
Solving parametric elliptic interface problems via interfaced operator network S Wu, A Zhu, Y Tang, B Lu Journal of Computational Physics, 113217, 2024 | 1 | 2024 |
DynGMA: a robust approach for learning stochastic differential equations from data A Zhu, Q Li Journal of Computational Physics, 113200, 2024 | 1 | 2024 |
Poisson Integrators based on splitting method for Poisson systems B Zhu, L Ji, A Zhu, Y Tang arXiv preprint arXiv:2205.05281, 2022 | 1 | 2022 |
Explicit K-symplectic-like algorithms for guiding center system B Zhu, J Liu, A Zhu, J Zhang, Y Tang Physica Scripta 98 (12), 125607, 2023 | | 2023 |
Inverse Backward Analysis of Neural Approximants of Ordinary Differential Equations T Bertalan, A Zhu, B Zhu, Y Tang, IG Kevrekidis 2022 AIChE Annual Meeting, 2022 | | 2022 |