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Large-stepsize integrators for charged-particle dynamics over multiple time scales 期刊论文
NUMERISCHE MATHEMATIK, 2022, 页码: 33
作者:  Hairer, Ernst;  Lubich, Christian;  Shi, Yanyan
收藏  |  浏览/下载：55/0  |  提交时间：2023/02/07
Charged particle  Strong magnetic field  Boris algorithm  Variational integrator  Filtered variational integrator  Modulated Fourier expansion  Long-term behaviour  
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
作者:  Rockner, Michael;  Sun, Xiaobin;  Xie, Yingchao
收藏  |  浏览/下载：138/0  |  提交时间：2021/04/26
Averaging principle  McKean-Vlasov stochastic differential equations  Slow-fast  Poisson equation  Strong convergence order  
Towards mesoscopic ergodic theory 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 24
作者:  Qi, Weiwei;  Shen, Zhongwei;  Wang, Shirou;  Yi, Yingfei
收藏  |  浏览/下载：116/0  |  提交时间：2020/09/23
ergodic theory  stochastic differential equation  Fokker-Planck equation  stationary measure  physical measure  mesoscopic limit  
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 6, 页码: 2910-2948
作者:  Liu, Wei;  Roeckner, Michael;  Sun, Xiaobin;  Xie, Yingchao
收藏  |  浏览/下载：147/0  |  提交时间：2020/05/24
Averaging principle  Local Lipschitz  Time-dependent  Strong convergence  Stochastic differential equations  
Averaging principle for one dimensional stochastic Burgers equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 10, 页码: 4749-4797
作者:  Dong, Zhao;  Sun, Xiaobin;  Xiao, Hui;  Zhai, Jianliang
收藏  |  浏览/下载：402/0  |  提交时间：2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions 期刊论文
PHYSICS OF PLASMAS, 2015, 卷号: 22, 期号: 6, 页码: 21
作者:  Zakharov, Leonid E.;  Li, Xujing
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM 期刊论文
ACTA MATHEMATICA SCIENTIA, 2010, 卷号: 30, 期号: 6, 页码: 2064-2076
作者:  Ren Jian;  Fu Hongbo;  Cao Daomin;  Duan Jinqiao
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
microscopic-macroscopic system  stochastic partial differential equations  averaging principle  effective dynamics  slow-fast scales  
Bursting of Morris-Lecar neuronal model with current-feedback control 期刊论文
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 2009, 卷号: 52, 期号: 3, 页码: 771-781
作者:  Duan LiXia;  Lu QiShao;  Cheng DaiZhan
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
neuron  bursting  bifurcation  fast-slow dynamics analysis  codimension  
Two-parameter bifurcation analysis of firing activities in the Chay neuronal model 期刊论文
NEUROCOMPUTING, 2008, 卷号: 72, 期号: 1-3, 页码: 341-351
作者:  Duan, Lixia;  Lu, Qishao;  Wang, Qinyun
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Neuron  Bursting  Bifurcation  Codimension  Fast-slow dynamics