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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：109/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
A PARALLEL DOMAIN DECOMPOSITION ALGORITHM FOR LARGE SCALE IMAGE DENOISING 期刊论文
INVERSE PROBLEMS AND IMAGING, 2019, 卷号: 13, 期号: 6, 页码: 1259-1282
作者:  Chen, Rongliang;  Huang, Jizu;  Cai, Xiao-Chuan
收藏  |  浏览/下载：199/0  |  提交时间：2020/01/10
Image denoising  total variation  overlapping domain decomposition  Newton-Krylov-Schwarz  parallel processing  
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:  Brehier, Charles-Edouard;  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：174/0  |  提交时间：2020/01/10
stochastic Allen-Cahn equation  splitting scheme  strong convergence rate  exponential integrability  
ERGODIC APPROXIMATION TO CHEMICAL REACTION SYSTEM WITH DELAY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 1, 页码: 70-95
作者:  Chen, Chuchu;  Liu, Di
收藏  |  浏览/下载：144/0  |  提交时间：2020/01/10
stochastic delay differential equation  invariant measure  ergodicity  weak convergence order  Malliavin calculus  Poisson random measure  
Adaptive finite element method for parabolic equations with Dirac measure 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 328, 页码: 217-241
作者:  Gong, Wei;  Liu, Huipo;  Yan, Ningning
收藏  |  浏览/下载：133/0  |  提交时间：2018/07/25
Parabolic equation  Dirac measure  Adaptive finite element method  Space-time discretization  A posteriori error estimates  
A general framework of piecewise-polynomial Mumford-Shah model for image segmentation 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 卷号: 94, 期号: 10, 页码: 1981-1997
作者:  Chen, Chong;  Leng, Juelin;  Xu, Guoliang
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Image segmentation  piecewise-polynomial approximation  anisotropic control  intensity heterogeneity  split Bregman iteration  11Y11  11Y16  11G20  11G99  68W20  
Multistep Schemes for Forward Backward Stochastic Differential Equations with Jumps 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 69, 期号: 2, 页码: 651-672
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：135/0  |  提交时间：2018/07/30
Multistep scheme  Jump-diffusion process  Forward backward stochastic differential equation with jumps  
Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2009, 卷号: 61, 期号: 5, 页码: 552-568
作者:  Shah, Abdullah;  Yuan, Li
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
upwind compact difference  flux-difference splitting  incompressible Navier-Stokes equation  artificial compressibility  backward facing step  lid-driven cavity flow  
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：105/0  |  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