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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:3/0
  |  
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:11/0
  |  
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:11/0
  |  
提交时间:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
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
作者:
Cui, Jianbo
;
Hong, Jialin
收藏
  |  
浏览/下载:12/0
  |  
提交时间: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
作者:
Hong, Jialin
;
Huang, Chuying
;
Kamrani, Minoo
;
Wang, Xu
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  |  
浏览/下载:45/0
  |  
提交时间:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
Risk minimization for an insurer with investment and reinsurance via g-expectation
期刊论文
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 卷号: 48, 期号: 20, 页码: 5012-5035
作者:
Chen, Fenge
;
Peng, Xingchun*
;
Wang, Wenyuan
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  |  
浏览/下载:13/0
  |  
提交时间:2019/12/04
Investment
reinsurance
g-expectation
stochastic maximum principles
Malliavin calculus
H?LDER CONTINUITY FOR THE PARABOLIC ANDERSON MODEL WITH SPACE-TIME HOMOGENEOUS GAUSSIAN NOISE
期刊论文
Acta Mathematica Scientia, 2019, 期号: 03, 页码: 717-730
作者:
Raluca M BALAN
;
Lluís QUER-SARDANYONS
;
Song J(宋健)
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  |  
浏览/下载:8/0
  |  
提交时间:2019/12/11
Gaussian noise
stochastic partial differential equations
Malliavin calculus
Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise
期刊论文
ELECTRONIC JOURNAL OF PROBABILITY, 2019, 卷号: 24
作者:
Balan, Raluca M.
;
Quer-Sardanyons, Lluis
;
Song, Jian
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  |  
浏览/下载:11/0
  |  
提交时间:2019/12/11
Gaussian noise
stochastic partial differential equations
Malliavin
calculus
HOLDER CONTINUITY FOR THE PARABOLIC ANDERSON MODEL WITH SPACE-TIME HOMOGENEOUS GAUSSIAN NOISE
期刊论文
ACTA MATHEMATICA SCIENTIA, 2019, 卷号: 39, 期号: 3, 页码: 717-730
作者:
Balan, Raluca M.
;
Quer-Sardanyons, Lluis
;
Song, Jian
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2019/12/11
Gaussian noise
stochastic partial differential equations
Malliavin
calculus
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:24/0
  |  
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
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