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2020 – today
- 2024
[j50]Yong Chen, Jinqiao Duan
, Hongjun Gao, Xingyu Guo:
Modulation Analysis of the Stochastic Camassa-Holm Equation with Pure Jump Noise. J. Nonlinear Sci. 34(3): 58 (2024)- [j49]Qingyi Zhan, Jinqiao Duan, Xiaofan Li, Yuhong Li:
Symplectic numerical integration for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus. Math. Comput. Simul. 215: 420-439 (2024) - [j48]Luxuan Yang, Ting Gao, Wei Wei, Min Dai, Cheng Fang, Jinqiao Duan:
Multi-task meta label correction for time series prediction. Pattern Recognit. 150: 110319 (2024) - [j47]Ying Chao, Jinqiao Duan, Pingyuan Wei:
Small-Noise-Induced Metastable Transition of Periodically Perturbed Systems. SIAM J. Appl. Dyn. Syst. 23(1): 961-981 (2024) - [j46]Tianci Wang, Xianling Wang, Yi Shi, Wenbo Xin, Zhiyuan Jiang, Ting Gao, Jinqiao Duan:
Euler-Maruyama Method Based Channel Prediction: An LDE-Net Implementation and Field Evaluation. IEEE Trans. Veh. Technol. 73(8): 12143-12147 (2024) - [i29]Weiguo Lu, Xuan Wu, Deng Ding, Jinqiao Duan, Jirong Zhuang, Gangnan Yuan:
Diffusion Model Conditioning on Gaussian Mixture Model and Negative Gaussian Mixture Gradient. CoRR abs/2401.11261 (2024) - [i28]Yanjie Zhang, Ao Zhang, Pengde Wang, Xiao Wang, Jinqiao Duan:
Analysis for a class of stochastic fractional nonlinear Schrödinger equations. CoRR abs/2401.15608 (2024) - [i27]Cheng Fang, Jinqiao Duan:
Stochastic parameter reduced-order model based on hybrid machine learning approaches. CoRR abs/2403.17032 (2024) - [i26]Yang Li, Shengyuan Xu, Jinqiao Duan:
An evolutionary approach for discovering non-Gaussian stochastic dynamical systems based on nonlocal Kramers-Moyal formulas. CoRR abs/2409.19534 (2024) - 2023
- [j45]Yanjie Zhang, Xiao Wang, Zibo Wang, Jinqiao Duan:
Analysis of multiscale methods for stochastic dynamical systems driven by α-stable processes. Appl. Math. Lett. 136: 108462 (2023) - [j44]Zibo Wang, Li Lv, Jinqiao Duan:
Homogenization of Dissipative Hamiltonian Systems Under Lévy Fluctuations. J. Nonlinear Sci. 33(1): 13 (2023) - [i25]Luxuan Yang, Ting Gao, Min Dai, Yubin Lu, Wei Wei, Cheng Fang, Yufu Lan, Jinqiao Duan:
Meta contrastive label correction for financial time series. CoRR abs/2303.08103 (2023) - [i24]Jin Guo, Ting Gao, Yufu Lan, Peng Zhang, Sikun Yang, Jinqiao Duan:
Learning Stochastic Dynamical Systems as an Implicit Regularization with Graph Neural Networks. CoRR abs/2307.06097 (2023) - [i23]Pengbo Li, Ting Gao, Huifang Huang, Jiani Cheng, Shuhong Gao, Zhigang Zeng, Jinqiao Duan:
Privacy-Preserving Discretized Spiking Neural Networks. CoRR abs/2308.12529 (2023) - [i22]Lingyu Feng, Ting Gao, Xiao Wang, Jinqiao Duan:
Early warning via transitions in latent stochastic dynamical systems. CoRR abs/2309.03842 (2023) - [i21]Pengbo Li, Huifang Huang, Ting Gao, Jin Guo, Jinqiao Duan:
Efficient Privacy-Preserving Convolutional Spiking Neural Networks with FHE. CoRR abs/2309.09025 (2023) - [i20]Peng Zhang, Ting Gao, Jin Guo, Jinqiao Duan:
Early Warning via tipping-preserving latent stochastic dynamical system and meta label correcting. CoRR abs/2310.06059 (2023) - 2022
- [i19]Cheng Fang, Yubin Lu, Ting Gao, Jinqiao Duan:
An end-to-end deep learning approach for extracting stochastic dynamical systems with α-stable Lévy noise. CoRR abs/2201.13114 (2022) - [i18]Wei Wei, Xiaoli Chen, Ting Gao, Jinqiao Duan:
An Optimal Control Method to Compute the Most Likely Transition Path for Stochastic Dynamical Systems with Jumps. CoRR abs/2203.16874 (2022) - [i17]Lingyu Feng, Ting Gao, Min Dai, Jinqiao Duan:
Auto-SDE: Learning effective reduced dynamics from data-driven stochastic dynamical systems. CoRR abs/2205.04151 (2022) - [i16]Qingyi Zhan, Jinqiao Duan, Xiaofan Li, Yuhong Li:
Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle. CoRR abs/2207.11215 (2022) - 2021
- [j43]Min Dai, Jinqiao Duan, Junjun Liao, Xiangjun Wang:
Maximum likelihood estimation of stochastic differential equations with random effects driven by fractional Brownian motion. Appl. Math. Comput. 397: 125927 (2021) - [j42]Yayun Zheng, Fang Yang, Jinqiao Duan, Jürgen Kurths:
Quantifying model uncertainty for the observed non-Gaussian data by the Hellinger distance. Commun. Nonlinear Sci. Numer. Simul. 96: 105720 (2021) - [j41]Xiaoli Chen, Liu Yang, Jinqiao Duan, George Em Karniadakis:
Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker-Planck Equation and Physics-Informed Neural Networks. SIAM J. Sci. Comput. 43(3): B811-B830 (2021) - [i15]Yubin Lu, Romit Maulik, Ting Gao, Felix Dietrich, Ioannis G. Kevrekidis, Jinqiao Duan:
Learning the temporal evolution of multivariate densities via normalizing flows. CoRR abs/2107.13735 (2021) - [i14]Gangnan Yuan, Ding Deng, Jinqiao Duan, Weiguo Lu, Fengyan Wu:
Total value adjustment of Bermudan option valuation under pure jump Lévy fluctuations. CoRR abs/2109.12795 (2021) - [i13]Yang Li, Yubin Lu, Shengyuan Xu, Jinqiao Duan:
Extracting stochastic dynamical systems with $α$-stable Lévy noise from data. CoRR abs/2109.14881 (2021) - [i12]Wei Wei, Jianyu Hu, Jianyu Chen, Jinqiao Duan:
Most Probable Transitions from Metastable to Oscillatory Regimes in a Carbon Cycle System. CoRR abs/2109.14905 (2021) - [i11]Wei Wei, Jianyu Hu, Jinqiao Duan:
The Most Likely Transition Path for a Class of Distribution-Dependent Stochastic Systems. CoRR abs/2111.06030 (2021) - [i10]Jianyu Hu, Dongfang Li, Jinqiao Duan, Xiaoli Chen:
Data-driven method to learn the most probable transition pathway and stochastic differential equations. CoRR abs/2111.08944 (2021) - [i9]Luxuan Yang, Ting Gao, Yubin Lu, Jinqiao Duan, Tao Liu:
Time Series Forecasting with Ensembled Stochastic Differential Equations Driven by Lévy Noise. CoRR abs/2111.13164 (2021) - 2020
- [j40]Daniel Tesfay, Pingyuan Wei, Yayun Zheng, Jinqiao Duan, Jürgen Kurths:
Transitions between metastable states in a simplified model for the thermohaline circulation under random fluctuations. Appl. Math. Comput. 369 (2020) - [j39]Jintao Wang, Lu Yang, Jinqiao Duan:
Recurrent Solutions of a Nonautonomous Modified Swift-Hohenberg Equation. Appl. Math. Comput. 379: 125270 (2020) - [j38]Yanjie Zhang, Xiao Wang, Jinqiao Duan:
Mean exit time for stochastic dynamical systems driven by tempered stable Lévy fluctuations. Appl. Math. Lett. 102: 106112 (2020) - [j37]Hui Wang, Jinqiao Duan, Xianguo Geng, Ying Chao:
Mean escape time for randomly switching narrow gates in a steady flow. Comput. Math. Appl. 79(10): 2795-2804 (2020) - [j36]Hui Wang, Athanasios Tsiairis, Jinqiao Duan:
Bifurcation in Mean Phase Portraits for Stochastic Dynamical Systems with Multiplicative Gaussian Noise. Int. J. Bifurc. Chaos 30(11): 2050216:1-2050216:7 (2020) - [i8]Jian Ren, Jinqiao Duan:
Identifying stochastic governing equations from data of the most probable transition trajectories. CoRR abs/2002.10251 (2020) - [i7]Yang Li, Jinqiao Duan:
A Data-Driven Approach for Discovering Stochastic Dynamical Systems with Non-Gaussian Levy Noise. CoRR abs/2005.03769 (2020) - [i6]Yanxia Zhang, Jinqiao Duan, Yanfei Jin, Yang Li:
Extracting Non-Gaussian Governing Laws from Data on Mean Exit Time. CoRR abs/2006.14974 (2020) - [i5]Qingyi Zhan, Jinqiao Duan, Xiaofan Li:
Symplectic Euler scheme for Hamiltonian stochastic differential equations driven by Levy noise. CoRR abs/2006.15500 (2020) - [i4]Xiaoli Chen, Liu Yang, Jinqiao Duan, George Em Karniadakis:
Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker-Planck Equation and Physics-informed Neural Networks. CoRR abs/2008.10653 (2020) - [i3]Qingyi Zhan, Jinqiao Duan, Xiaofan Li, Yuhong Li:
Symplectic method for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus. CoRR abs/2010.07691 (2020)
2010 – 2019
- 2019
- [j35]Xiao Wang, Wenpeng Shang, Xiaofan Li, Jinqiao Duan, Yanghong Huang:
Fokker-Planck equation driven by asymmetric Lévy motion. Adv. Comput. Math. 45(2): 787-811 (2019) - [j34]Xiujun Cheng, Jinqiao Duan, Dongfang Li:
A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations. Appl. Math. Comput. 346: 452-464 (2019) - [j33]Xiaoli Chen, Fengyan Wu, Jinqiao Duan, Jürgen Kurths, Xiaofan Li:
Most probable dynamics of a genetic regulatory network under stable Lévy noise. Appl. Math. Comput. 348: 425-436 (2019) - [j32]Ziying He, Jinqiao Duan, Xiujun Cheng:
A parameter estimator based on Smoluchowski-Kramers approximation. Appl. Math. Lett. 90: 54-60 (2019) - [j31]Guangying Lv, Jinqiao Duan, Hongjun Gao:
Stochastic nonlocal conservation laws on whole space. Comput. Math. Appl. 77(7): 1945-1962 (2019) - [i2]Xiaoli Chen, Jinqiao Duan, George Em Karniadakis:
Learning and Meta-Learning of Stochastic Advection-Diffusion-Reaction Systems from Sparse Measurements. CoRR abs/1910.09098 (2019) - 2018
- [j30]Fengyan Wu, Dongfang Li, Jinming Wen, Jinqiao Duan:
Stability and convergence of compact finite difference method for parabolic problems with delay. Appl. Math. Comput. 322: 129-139 (2018) - [j29]Xiao Wang, Jinqiao Duan, Xiaofan Li, Renming Song:
Numerical algorithms for mean exit time and escape probability of stochastic systems with asymmetric Lévy motion. Appl. Math. Comput. 337: 618-634 (2018) - [j28]Xiaoli Chen, Yana Di, Jinqiao Duan, Dongfang Li:
Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Appl. Math. Lett. 84: 160-167 (2018) - [j27]Fengyan Wu, Xiujun Cheng, Dongfang Li, Jinqiao Duan:
A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations. Comput. Math. Appl. 75(8): 2835-2850 (2018) - [j26]Hui Wang, Xiaoli Chen, Jinqiao Duan:
A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits. Int. J. Bifurc. Chaos 28(1): 1850017:1-1850017:8 (2018) - [j25]Jinlong Wei, Jinqiao Duan, Guangying Lv:
Kinetic Solutions for Nonlocal Scalar Conservation Laws. SIAM J. Math. Anal. 50(2): 1521-1543 (2018) - 2016
- [j24]Ting Gao, Jinqiao Duan, Xiaofan Li:
Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions. Appl. Math. Comput. 278: 1-20 (2016) - [j23]Yanfeng Guo, Jinqiao Duan:
Approximation representation of parameterizing manifold and non-Markovian reduced systems for a stochastic Swift-Hohenberg equation. Appl. Math. Lett. 52: 112-117 (2016) - [j22]Ming Wang, Jinqiao Duan:
Smooth solution of a nonlocal Fokker-Planck equation associated with stochastic systems with Lévy noise. Appl. Math. Lett. 58: 172-177 (2016) - [j21]Zhuan Cheng, Jinqiao Duan, Liang Wang:
Most probable dynamics of some nonlinear systems under noisy fluctuations. Commun. Nonlinear Sci. Numer. Simul. 30(Issues): 108-114 (2016) - [j20]Ting Gao, Jinqiao Duan:
Quantifying model uncertainty in dynamical systems driven by non-Gaussian Lévy stable noise with observations on mean exit time or escape probability. Commun. Nonlinear Sci. Numer. Simul. 39: 1-6 (2016) - 2015
- [j19]Xiao Wang, Jinqiao Duan, Xiaofan Li, Yuanchao Luan:
Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises. Appl. Math. Comput. 258: 282-295 (2015) - [j18]Jinchun He, Jinqiao Duan, Hongjun Gao:
A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Appl. Math. Lett. 49: 1-6 (2015) - 2014
- [j17]Ting Gao, Jinqiao Duan, Xiaofan Li, Renming Song:
Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises. SIAM J. Sci. Comput. 36(3) (2014) - 2013
- [j16]Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis, Anthony J. Roberts:
Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach. SIAM J. Appl. Dyn. Syst. 12(1): 487-514 (2013) - [j15]Guanggan Chen, Jinqiao Duan, Jian Zhang:
Approximating Dynamics of a Singularly Perturbed Stochastic Wave Equation with a Random Dynamical Boundary Condition. SIAM J. Math. Anal. 45(5): 2790-2814 (2013) - [i1]Xu Sun, Jinqiao Duan, Xiaofan Li, Xiangjun Wang:
State estimation under non-Gaussian Levy noise: A modified Kalman filtering method. CoRR abs/1303.2395 (2013) - 2012
- [j14]Caidi Zhao, Jinqiao Duan:
Upper semicontinuity of Global attractors for 2D Navier-Stokes equations. Int. J. Bifurc. Chaos 22(3) (2012) - [j13]Jian Ren, Chujin Li, Ting Gao, Xingye Kan, Jinqiao Duan:
Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian noise. Int. J. Bifurc. Chaos 22(4) (2012) - 2011
- [j12]Shengqiang Xu, Jinqiao Duan:
A Taylor expansion approach for solving partial differential equations with random Neumann boundary conditions. Appl. Math. Comput. 217(23): 9532-9542 (2011) - [j11]Huiqin Chen, Jinqiao Duan, Xiaofan Li, Chengjian Zhang:
A computational analysis for mean exit time under non-Gaussian Lévy noises. Appl. Math. Comput. 218(5): 1845-1856 (2011) - 2010
- [j10]Jinqiao Duan, Paul F. Fischer, Traian Iliescu, Tamay M. Özgökmen:
Bridging the Boussinesq and primitive equations through spatio-temporal filtering. Appl. Math. Lett. 23(4): 453-456 (2010)
2000 – 2009
- 2007
- [j9]Chunyou Sun, Daomin Cao, Jinqiao Duan:
Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping. SIAM J. Appl. Dyn. Syst. 6(2): 293-318 (2007) - 2006
- [j8]Wei Wang, Daomin Cao, Jinqiao Duan:
Effective Macroscopic Dynamics of Stochastic Partial Differential Equations in Perforated Domains. SIAM J. Math. Anal. 38(5): 1508-1527 (2006) - 2002
- [j7]Jinqiao Duan, Xin-Chu Fu:
Time-periodically forced amplitude evolution in spatially extended nonlinear systems. Appl. Math. Comput. 127(2-3): 215-219 (2002) - 2001
- [j6]David Szurley, Jinqiao Duan:
The effect of changing the Coriolis force gradient parameter on the escape probability and mean residence time. Appl. Math. Comput. 118(2-3): 261-273 (2001) - 2000
- [j5]Jinqiao Duan, Vincent J. Ervin:
On nonlinear amplitude evolution under stochastic forcing. Appl. Math. Comput. 109(1): 59-65 (2000) - [j4]Jinqiao Duan:
Probabilistic structural dynamics of protein folding. Appl. Math. Comput. 113(1): 97-100 (2000) - [j3]Xin-Chu Fu, Yibin Fu, Jinqiao Duan, Robert S. MacKay:
Chaotic Properties of Subshifts Generated by a Nonperiodic Recurrent Orbit. Int. J. Bifurc. Chaos 10(5): 1067-1074 (2000)
1990 – 1999
- 1999
- [j2]Jinqiao Duan:
Time-periodic quasigeostrophic motion under dissipation and forcing. Appl. Math. Comput. 102(2-3): 121-127 (1999) - [j1]Jinqiao Duan:
A remark on the three dimensional baroclinic quasi-geostrophic dynamics. Appl. Math. Comput. 106(2-3): 285-288 (1999)
Coauthor Index
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