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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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Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
Authors:
Cui, Jianbo
;
Hong, Jialin
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Submit date:2021/01/14
Stochastic Cahn-Hilliard equation
Unbounded noise diffusion
Malliavin calculus
Numerical approximation
Strong convergence rate
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
Authors:
Hong, Jialin
;
Huang, Chuying
;
Kamrani, Minoo
;
Wang, Xu
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View/Download:7/0
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Submit date:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
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
Authors:
Chen, Chuchu
;
Liu, Di
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Submit date:2020/01/10
stochastic delay differential equation
invariant measure
ergodicity
weak convergence order
Malliavin calculus
Poisson random measure
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
Authors:
Cui, Jianbo
;
Hong, Jialin
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Submit date:2020/01/10
one-sided Lipschitz coefficient
stochastic Allen-Cahn equation
finite element method
strong and weak convergence rate
Kolmogorov equation
Malliavin calculus
Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise
期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 1, 页码: 97-118
Authors:
Dong, Zhao
;
Peng, Xu-hui
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Submit date:2018/07/30
tochastic Navier-Stokes equation
asymptotically strong Feller property
ergodicity
ERROR ANALYSIS FOR D-LEAPING SCHEME OF CHEMICAL REACTION SYSTEM WITH DELAY
期刊论文
MULTISCALE MODELING & SIMULATION, 2017, 卷号: 15, 期号: 4, 页码: 1797-1829
Authors:
Chen, Chuchu
;
Liu, Di
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Submit date:2018/07/30
stochastic delay differential equation
Poisson random measure
D-leaping
mean-square strong convergence order
weak convergence order
Malliavin calculus
Strong Feller properties for degenerate SDEs with jumps
期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2016, 卷号: 52, 期号: 2, 页码: 888-897
Authors:
Dong, Zhao
;
Peng, Xuhui
;
Song, Yulin
;
Zhang, Xicheng
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Submit date:2018/07/30
Strong Feller property
SDE
Malliavin's calculus
Cylindrical alpha-stable process
Hormander's condition
WELL-POSEDNESS OF FOKKER-PLANCK TYPE EQUATIONS ON THE WIENER SPACE
期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2010, 卷号: 13, 期号: 2, 页码: 273-304
Authors:
Luo, Dejun
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View/Download:16/0
  |  
Submit date:2018/07/30
Fokker-Planck equation
Malliavin calculus
commutator estimate
stochastic differential equation
Transportation inequalities for stochastic differential equations of pure jumps
期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2010, 卷号: 46, 期号: 2, 页码: 465-479
Authors:
Wu, Liming
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View/Download:4/0
  |  
Submit date:2018/07/30
Transportation inequalities
Stochastic differential equations
Malliavin calculus
Transport equations and quasi-invariant flows on the Wiener space
期刊论文
BULLETIN DES SCIENCES MATHEMATIQUES, 2010, 卷号: 134, 期号: 3, 页码: 295-328
Authors:
Fang, Shizan
;
Luo, Dejun
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View/Download:31/0
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Submit date:2018/08/04
Wiener space
Transport equations
Commutator estimate
Quasi-invariant Rows
Malliavin calculus