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CLT for approximating ergodic limit of SPDEs via a full discretization
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
作者:
Chen, Chuchu
;
Dang, Tonghe
;
Hong, Jialin
;
Zhou, Tau
收藏
  |  
浏览/下载:125/0
  |  
提交时间:2023/02/07
Central limit theorem
Stochastic partial differential equation
Full discretization
Poisson equation
Ergodic limit
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
作者:
Hong, Jialin
;
Sheng, Derui
;
Zhou, Tau
收藏
  |  
浏览/下载:63/0
  |  
提交时间:2023/02/07
stochastic incompressible Euler equation
convergence order
splitting semi-implicit Euler method
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
收藏
  |  
浏览/下载:58/0
  |  
提交时间:2023/02/07
Stochastic partial differential equation
Fractional Brownian sheet
Hurst index H < 1/2
Holder exponent
Hitting probability
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems
期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
作者:
Chen, Chuchu
;
Hong, Jialin
;
Sheng, Derui
收藏
  |  
浏览/下载:111/0
  |  
提交时间:2022/04/29
Hitting probability
Numerical discretization
Stochastic parabolic system
Critical dimension
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:100/0
  |  
提交时间:2023/02/07
 
Invariant measure
Markov chain
weak convergence
backward Euler method
stochastic differential equations with piecewise continuous arguments
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
作者:
Chen, Chuchu
;
Cui, Jianbo
;
Hong, Jialin
;
Sheng, Derui
收藏
  |  
浏览/下载:104/0
  |  
提交时间:2022/06/21
density
convergence order
accelerated exponential Euler scheme
stochastic heat equation
Malliavin calculus
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation
期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
;
Sun, Liying
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  |  
浏览/下载:123/0
  |  
提交时间:2022/04/29
Large deviations principle
Symplectic discretizations
Stochastic Schrodinger equation
Rate function
Exponential tightness
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:
Hong, Jialin
;
Hou, Baohui
;
Sun, Liying
收藏
  |  
浏览/下载:123/0
  |  
提交时间:2022/04/29
Compact finite difference method
Interior penalty discontinuous Galerkin finite element method
Pade approximation
Averaged energy evolution law
Stochastic wave equation
Multiplicative noise
Database Resources of the National Genomics Data Center, China National Center for Bioinformation in 2022
期刊论文
NUCLEIC ACIDS RESEARCH, 2022, 卷号: 50, 期号: D1, 页码: D27-D38
作者:
Xue, Yongbiao
;
Bao, Yiming
;
Zhang Zhang
;
Zhao, Wenming
;
Xiao, Jingfa
;
He, Shun-min
;
Zhang, Guoqing
;
Li, Yixue
;
Guoping, Zhao
;
Chen, Runsheng
;
Zeng, Jingyao
;
Zhang, Yadong
;
Shang, Yun-fei
;
Mai, Jialin
;
Shi, Shuo
;
Lu, Mingming
;
Bu, Congfan
;
Zhang, Zhewen
;
Du, Zhenglin
;
Wang, Yinying
;
Kang, Hongen
;
Xu, Tianyi
;
Hao, Lili
;
Jia, Peilin
;
Jiang, Shuai
;
Qian, Qiheng
;
Zhu, Tong-tong
;
Shang, Yunfei
;
Zong, Wenting
;
Jin, Tong
;
Zhang, Yuansheng
;
Zou, Dong
;
Zhang, Zhang
;
Du, Qiang
;
Feng, Changrui
;
Ma, Lina
;
Zhang, Sisi
;
Wang, Anke
;
Dong, Lili
;
Wang, Yan-qing
;
Liu, Wan
;
Yan, Xing
;
Ling, Yunchao
;
Zhao, Guoping
;
Zhou, Zhihua
;
Kang, Wang
;
Zhang, Tao
;
Ma, Shuai
;
Yan, Haoteng
;
Liu, Zunpeng
;
Ji, Zejun
;
Cai, Yusheng
;
Wang, Si
;
Song, Moshi
;
Ren, Jie
;
Zhou, Qi
;
Qu, Jing
;
Zhang, Weiqi
;
Liu, Guanghui
;
Chen, Xu
;
Chen, Tingting
;
Sisi, Zhang
;
Sun, Yanling
;
Yu, Caixia
;
Tang, Bixia
;
Zhu, Junwei
;
Zhai, Shuang
;
Sun, Yubin
;
Chen, Qiancheng
;
Yang, Xiaoyu
;
Zhang, Xin
;
Sang, Zhengqi
;
Wang, Yonggang
;
Zhao, Yilin
;
Chen, Huanxin
;
Lan, Li
;
Wang, Yanqing
;
Ma, Yingke
;
Jia, Yaokai
;
Zheng, Xin-chang
;
Chen, Meili
;
Dong, Zou
;
Zhu, Tongtong
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Ming, Chen
;
Niu, Guangyi
;
Pan, Rong
;
Jing, Wei
;
Sang, Jian
;
Liu, Chang
;
Xiong, Yujia
;
Lili, Hao
;
Zhang, Mochen
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Wang, Guoliang
;
Yi, Lizhi
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Wei, Zhao
;
Zong, Wenting
;
Wu, Song
;
Xiong, Zhuang
;
Rujiao, Li
;
Zheng, Gong
;
Li, Rujiao
;
Liu, Lin
;
Li, Zhao
;
Li, Qianpeng
;
Wei, Jing
;
Luo, Sicheng
;
Wang, Jiajia
;
Shi, Yirong
;
Zhou, Honghong
;
Zhang, Peng
;
Song, Tingrui
;
Li, Yanyan
;
Yang, Fei
;
Li, Mengwei
;
Li, Zhao-hua
;
Kang, Hongen
;
Zheng, Xinchang
;
Li, Ru-jiao
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Tian, Dongmei
;
Liu, Xiaonan
;
Li, Cuiping
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Teng, Xufei
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Song, Shuhui
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Zhang, Yang
;
Niu, Guangyi
;
Zhu, Tongtong
;
Zhang, Yuansheng
;
Chen, Ruru
;
Zhang, Rongqin
;
Xu, Feng
;
Wang, Yifan
;
Ling, Yunchao
;
Zhou, Chenfen
;
Wang, Haizhou
;
Teschendorff, Andrew E.
;
He, Yungang
;
Zhen, Yang
;
Li, Cuiping
;
Zhu, Junwei
;
Li, Lun
;
Li, Na
;
Gong, Zheng
;
Chen, Meili
;
Ying Cui
;
Duan, Guangya
;
Tong, Jin
;
Wu, Gangao
;
Huang, Tianhao
;
Jin, Enhui
;
Zhao, Wei
;
Kang, Hailong
;
Wang, Zhonghuang
;
Zeng, Jingyao
;
Chen, Hua
;
Li, Mingkun
;
Zhao, Wenming
;
Ning, Wanshan
;
Xue, Yu
;
Liu, Yanhu
;
Cui, Ying
;
Zhou, Qijun
;
Liu, Xingyan
;
Zhang, Longlong
;
Mao, Bingyu
;
Zhang, Shihua
;
Zhang, Yaping
;
Wang, Guodong
;
Zhu, Qianghui
;
Li, Xin
;
Li, Menghua
;
Liu, Yuanming
;
Luo, Hong
;
Wu, Xiaoyuan
;
Jing, Haichun
;
Pan, Yitong
;
Chen, Ming
;
Ma, Lina
;
Shi, Leisheng
;
Li, Mingkun
;
Lan, Li
;
Bao, Yiming
;
Zhao, Wen-ming
;
Zuo, Zhixiang
;
Ren, Jian
;
Zhang, Xinxin
;
Xiao, Yun
;
Li, Xia
;
Liu, Dan
;
Zhang, Chi
;
Xue, Yu
;
Zhao, Zheng
;
Jiang, Tao
;
Wu, Wanying
;
Zhao, Fangqing
;
Meng, Xianwen
;
Peng, Di
;
Luo, Hao
;
Gao, Feng
;
Lin, Shaofeng
;
Liu, Chuijie
;
Guo, Anyuan
;
Yuan, Hao
;
Su, Tianhan
;
Zhang, Yong E.
;
Zhou, Yincong
;
Zhang, Weizhi
;
Fu, Shanshan
;
Tan, Xiaodan
;
Xie, Yubin
;
Guo, Guoji
;
Wang, Chenwei
;
Liao, Xingyu
;
Gao, Xin
;
Wang, Jianxin
;
Xie, Guiyan
;
Yuan, Chunhui
;
Tian, Feng
;
Yang, Dechang
;
Tang, Dachao
;
Wu, Wenyi
;
Gou, Yujie
;
Han, Cheng
;
Cui, Qinghua
;
Li, Xiang Shang
;
Li, Chuan-Yun
;
Luo, XiaoTong
;
Ren, Jia
;
Li, Xia
收藏
  |  
浏览/下载:532/0
  |  
提交时间:2022/04/02
Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model
期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
作者:
Hong, Jialin
;
Ji, Lihai
;
Wang, Xu
;
Zhang, Jingjing
收藏
  |  
浏览/下载:112/0
  |  
提交时间:2022/04/02
Stochastic Lotka-Volterra predator-prey model
Positivity
Stochastic symplecticity
Structure-preserving methods
Convergence order conditions