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STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载：145/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
作者:  Hong, Jialin;  Huang, Chuying;  Kamrani, Minoo;  Wang, Xu
收藏  |  浏览/下载：184/0  |  提交时间：2020/06/30
Cox-Ingersoll-Ross model  Fractional Brownian motion  Backward Euler scheme  Optimal strong convergence rate  Malliavin calculus  
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：202/0  |  提交时间：2020/01/10
Deferred correction method  Second-order forward backward stochastic differential equations  Euler scheme  High-order rate of convergence  
A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System 期刊论文
IEEE TRANSACTIONS ON NANOTECHNOLOGY, 2018, 卷号: 17, 期号: 3, 页码: 513-519
作者:  Xu, Jingjie;  Lu, Benzhuo;  Zhang, Linbo
收藏  |  浏览/下载：207/0  |  提交时间：2018/07/30
3D nanopore  analytical test  backward Euler  FEM  ICR  numerical simulation  PNP equations  varying voltage  
Deferred Correction Methods for Forward Backward Stochastic Differential Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 2, 页码: 222-242
作者:  Tang, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Deferred correction method  forward backward stochastic differential equations  Euler method  high-order scheme  
The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 卷号: 146, 期号: 6, 页码: 1303-1328
作者:  Zong, Xiaofeng;  Wu, Fuke;  Huang, Chengming
收藏  |  浏览/下载：134/0  |  提交时间：2018/07/30
hybrid SDEs  moment exponential stability  Markov chain  Euler-Maruyama approximation  backward Euler-Maruyama approximation  split-step backward Euler-Maruyama approximation  
Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations 期刊论文
APPLIED MATHEMATICAL MODELLING, 2016, 卷号: 40, 期号: 1, 页码: 19-30
作者:  Zong, Xiaofeng;  Wu, Fuke
收藏  |  浏览/下载：150/0  |  提交时间：2018/07/30
Neutral stochastic delay differential equations  Moment exponential stability  Euler Maruyama method  Backward Euler Maruyama method  
Cascadic multigrid methods for parabolic problems 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 8, 页码: 1415-1439
作者:  Du Qiang;  Ming PingBing
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
cascadic multigrid method  parabolic problem  finite element methods  backward Euler scheme  smoother  stability  optimal error order  optimal complexity  
A posteriori error estimates for finite element approximation of parabolic p-Laplacian 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 43, 期号: 6, 页码: 2294-2319
作者:  Carstensen, C;  Liu, WB;  Yan, NN
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
finite element approximation  backward Euler discretization  parabolic p-Laplacian  a posteriori error estimators  quasi-norm error bounds