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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
Authors:
Chen, Chuchu
;
Dang, Tonghe
;
Hong, Jialin
;
Zhou, Tau
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View/Download:74/0
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Submit date: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
Authors:
Hong, Jialin
;
Sheng, Derui
;
Zhou, Tau
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View/Download:21/0
  |  
Submit date: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
Authors:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
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View/Download:19/0
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Submit date: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
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Sheng, Derui
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View/Download:74/0
  |  
Submit date: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
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Lu, Yulan
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View/Download:48/0
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Submit date: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
Authors:
Chen, Chuchu
;
Cui, Jianbo
;
Hong, Jialin
;
Sheng, Derui
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View/Download:58/0
  |  
Submit date: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
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
;
Sun, Liying
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View/Download:84/0
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Submit date: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
Authors:
Hong, Jialin
;
Hou, Baohui
;
Sun, Liying
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View/Download:80/0
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Submit date: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
Authors:
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
;
Ming, Chen
;
Niu, Guangyi
;
Pan, Rong
;
Jing, Wei
;
Sang, Jian
;
Liu, Chang
;
Xiong, Yujia
;
Lili, Hao
;
Zhang, Mochen
;
Wang, Guoliang
;
Yi, Lizhi
;
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
;
Tian, Dongmei
;
Liu, Xiaonan
;
Li, Cuiping
;
Teng, Xufei
;
Song, Shuhui
;
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
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View/Download:206/0
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Submit date: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
Authors:
Hong, Jialin
;
Ji, Lihai
;
Wang, Xu
;
Zhang, Jingjing
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  |  
View/Download:72/0
  |  
Submit date:2022/04/02
Stochastic Lotka-Volterra predator-prey model
Positivity
Stochastic symplecticity
Structure-preserving methods
Convergence order conditions