| Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker--Planck Equation and Physics-Informed Neural Networks X Chen, L Yang, J Duan, GE Karniadakis SIAM Journal on Scientific Computing 43 (3), B811-B830, 2021 | 92 | 2021 |
| Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations X Chen, Y Di, J Duan, D Li Applied Mathematics Letters 84, 160-167, 2018 | 67 | 2018 |
| Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements X Chen, J Duan, GE Karniadakis European Journal of Applied Mathematics 32 (3), 397-420, 2021 | 52 | 2021 |
| Convergence and stability of compact finite difference method for nonlinear time fractional reaction–diffusion equations with delay L Li, B Zhou, X Chen, Z Wang Applied Mathematics and Computation 337, 144-152, 2018 | 50 | 2018 |
| Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations B Zhou, X Chen, D Li Journal of Scientific Computing 85, 1-20, 2020 | 40 | 2020 |
| Most probable dynamics of a genetic regulatory network under stable Lévy noise X Chen, F Wu, J Duan, J Kurths, X Li Applied Mathematics and Computation 348, 425-436, 2019 | 38 | 2019 |
| Lévy noise-induced escape in an excitable system R Cai, X Chen, J Duan, J Kurths, X Li Journal of Statistical Mechanics: Theory and Experiment 2017 (6), 063503, 2017 | 37 | 2017 |
| Lévy noise induced transition and enhanced stability in a gene regulatory network F Wu, X Chen, Y Zheng, J Duan, J Kurths, X Li Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (7), 2018 | 32 | 2018 |
| A stochastic pitchfork bifurcation in most probable phase portraits H Wang, X Chen, J Duan International Journal of Bifurcation and Chaos 28 (01), 1850017, 2018 | 25 | 2018 |
| Data assimilation and parameter estimation for a multiscale stochastic system with α-stable Lévy noise Y Zhang, Z Cheng, X Zhang, X Chen, J Duan, X Li Journal of Statistical Mechanics: Theory and Experiment 2017 (11), 113401, 2017 | 20 | 2017 |
| An optimal control method to compute the most likely transition path for stochastic dynamical systems with jumps W Wei, T Gao, X Chen, J Duan Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (5), 2022 | 14 | 2022 |
| A Newton linearized compact finite difference scheme for one class of Sobolev equations X Chen, J Duan, D Li Numerical Methods for Partial Differential Equations 34 (3), 1093-1112, 2018 | 11 | 2018 |
| Data-driven method to learn the most probable transition pathway and stochastic differential equation X Chen, J Duan, J Hu, D Li Physica D: Nonlinear Phenomena 443, 133559, 2023 | 8 | 2023 |
| Linear θ‐Method and Compact θ‐Method for Generalised Reaction‐Diffusion Equation with Delay F Wu, Q Wang, X Cheng, X Chen International Journal of differential equations 2018 (1), 6402576, 2018 | 8 | 2018 |
| Detecting stochastic governing laws with observation on stationary distributions X Chen, H Wang, J Duan Physica D: Nonlinear Phenomena 448, 133691, 2023 | 3 | 2023 |
| A family of transformed difference schemes for nonlinear time-fractional equations H Qin, X Chen, B Zhou Fractal and Fractional 7 (1), 96, 2023 | 3 | 2023 |
| On high order numerical schemes for fractional differential equations by block-by-block approach L Li, D Zhao, M She, X Chen Applied Mathematics and Computation 425, 127098, 2022 | 3 | 2022 |
| An Onsager–Machlup approach to the most probable transition pathway for a genetic regulatory network J Hu, X Chen, J Duan Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (4), 2022 | 3 | 2022 |
| Constructing custom thermodynamics using deep learning X Chen, BW Soh, ZE Ooi, E Vissol-Gaudin, H Yu, KS Novoselov, ... Nature Computational Science 4 (1), 66-85, 2024 | 2 | 2024 |
| A deep learning approach to nonconvex energy minimization for martensitic phase transitions X Chen, P Rosakis, Z Wu, Z Zhang arXiv preprint arXiv:2206.13937, 2022 | 1 | 2022 |
