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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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浏览/检索结果:
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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
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浏览/下载:103/0
  |  
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
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浏览/下载:107/0
  |  
提交时间:2022/06/21
density
convergence order
accelerated exponential Euler scheme
stochastic heat equation
Malliavin calculus
Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 134, 页码: 55-93
作者:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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  |  
浏览/下载:125/0
  |  
提交时间:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
PARAREAL EXPONENTIAL theta-SCHEME FOR LONGTIME SIMULATION OF STOCHASTIC SCHRODINGER EQUATIONS WITH WEAK DAMPING
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: B1155-B1177
作者:
Hong, Jialin
;
Wang, Xu
;
Zhang, Liying
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浏览/下载:130/0
  |  
提交时间:2020/09/23
stochastic Schrodinger equation
parareal algorithm
exponential theta-scheme
invariant 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
作者:
Cui, Jianbo
;
Hong, Jialin
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  |  
浏览/下载:167/0
  |  
提交时间:2020/01/10
one-sided Lipschitz coefficient
stochastic Allen-Cahn equation
finite element method
strong and weak convergence rate
Kolmogorov equation
Malliavin calculus
HIGH ORDER CONFORMAL SYMPLECTIC AND ERGODIC SCHEMES FOR THE STOCHASTIC LANGEVIN EQUATION VIA GENERATING FUNCTIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 3006-3029
作者:
Hong, Jialin
;
Sun, Liying
;
Wang, Xu
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浏览/下载:112/0
  |  
提交时间:2018/07/30
stochastic Langevin equation
conformal symplectic scheme
generating function
ergodicity
weak convergence
NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 1, 页码: 305-327
作者:
Hong, Jialin
;
Wang, Xu
;
Zhang, Liying
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浏览/下载:110/0
  |  
提交时间:2018/07/30
stochastic Schriidinger equation
multiplicative noise
unique ergodicity
multisymplectic scheme
weak error
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions
期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 3, 页码: 1131-1162
作者:
Wang, Lijin
;
Hong, Jialin
;
Sun, Liying
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浏览/下载:83/0
  |  
提交时间:2018/07/30
Stochastic backward error analysis
Stochastic modified equations
Stochastic symplectic methods
Stochastic Hamiltonian systems
Stochastic generating functions
CONSERVATIVE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY
期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 3, 页码: 435-456
作者:
Chen, Chuchu
;
Cohen, David
;
Hong, Jialin
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浏览/下载:112/0
  |  
提交时间:2018/07/30
Stochastic differential equations
invariants
conservative methods
stochastic geometric numerical integration
quadrature formula
splitting technique
mean-square convergence order
weak convergence order