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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:9/0
  |  
提交时间:2023/02/07
 
Invariant measure
Markov chain
weak convergence
backward Euler method
stochastic differential equations with piecewise continuous arguments
Social Optima in Robust Mean Field LQG Control: From Finite to Infinite Horizon
期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 4, 页码: 1529-1544
作者:
Wang, Bing-Chang
;
Huang, Jianhui
;
Zhang, Ji-Feng
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  |  
浏览/下载:45/0
  |  
提交时间:2021/06/01
Mathematical model
Games
Robustness
Uncertainty
Optimal control
Stochastic processes
Differential equations
Forward-backward stochastic differential equation (FBSDE)
linear quadratic optimal control
mean field control
model uncertainty
social functional variation
AN EXPLICIT MULTISTEP SCHEME FOR MEAN-FIELD FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 25
作者:
Sun, Yabing
;
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
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  |  
浏览/下载:3/0
  |  
提交时间:2022/04/02
Mean-field forward backward stochastic differential equations
Explicit multistep scheme
Error estimates
KALMAN-BUCY FILTERING AND MINIMUM MEAN SQUARE ESTIMATOR UNDER UNCERTAINTY
期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 卷号: 59, 期号: 4, 页码: 2669-2692
作者:
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  |  
浏览/下载:3/0
  |  
提交时间:2022/04/02
Kalman-Bucy filtering
minimum mean square estimator
drift uncertainty
convex operator
minimax theorem
backward stochastic differential equation
Highly Accurate Numerical Schemes for Stochastic Optimal Control Via FBSDEs
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 296-319
作者:
Fu, Yu
;
Zhao, Weidong
;
Zhou, Tao
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  |  
浏览/下载:22/0
  |  
提交时间:2020/05/24
Forward backward stochastic differential equations
stochastic optimal control
stochastic maximum principle
projected quasi-Newton methods
A UNIFIED PROBABILISTIC DISCRETIZATION SCHEME FOR FBSDEs: STABILITY, CONSISTENCY, AND CONVERGENCE ANALYSIS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2351-2375
作者:
Yang, Jie
;
Zhao, Weidong
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  |  
浏览/下载:4/0
  |  
提交时间:2021/01/14
forward backward stochastic differential equations
numerical schemes
stability
consistency
convergence analysis
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
作者:
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
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  |  
浏览/下载:49/0
  |  
提交时间:2020/01/10
Deferred correction method
Second-order forward backward stochastic differential equations
Euler scheme
High-order rate of convergence
Razumikhin-type technique on stability of exact and numerical solutions for the nonlinear stochastic pantograph differential equations
期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 页码: 77-96
作者:
Guo, Ping
;
Li, Chong-Jun
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  |  
浏览/下载:10/0
  |  
提交时间:2019/12/02
Stochastic pantograph differential equation
Razumikhin-type technique
Global th moment
th moment polynomial stability
Euler-Maruyama and backward Euler-Maruyama method
Dynamic risk measures for processes via backward stochastic differential equations
期刊论文
Insurance: Mathematics and Economics, 2019
作者:
Shijie Wang
;
Xunjun Shi
;
Jinming Zhou
;
Ronglin Ji
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2019/04/24
Dynamic
risk
measure
for
processes
Dynamic
convex
risk
measure
Dynamic
coherent
risk
measure
Backward
stochastic
differential
equation
g-expectation
Backward stochastic Volterra integral equations—Representation of adapted solutions
期刊论文
Stochastic Processes and their Applications, 2019
作者:
Tianxiao Wang
;
Jiongmin Yong
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2019/02/25
Backward
stochastic
Volterra
integral
equations
Adapted
solutions
Representation
partial
differential
equations
Representation
of
adapted
solutions.
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