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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:10/0
  |  
提交时间:2023/02/07
 
Invariant measure
Markov chain
weak convergence
backward Euler method
stochastic differential equations with piecewise continuous arguments
A fast Euler-Maruyama method for fractional stochastic differential equations
期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
作者:
Zhang, Jingna
;
Tang, Yifa
;
Huang, Jianfei
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浏览/下载:1/0
  |  
提交时间:2023/02/07
Fractional stochastic differential equations
Euler-Maruyama method
Sum-of-exponentials approximation
Strong convergence
Computational efficiency
A stochastic mathematical model of two different infectious epidemic under vertical transmission
期刊论文
Mathematical Biosciences and Engineering, 2022, 卷号: 19, 期号: 3, 页码: 2179-2192
作者:
Wang, Xunyang
;
Huang, Canyun
;
Hao, Yixin
;
Shi, Qihong
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  |  
浏览/下载:13/0
  |  
提交时间:2022/04/21
Differential equations
Dynamical systems
Epidemiology
Lyapunov functions
Stochastic models
Transmissions
Effect of environments
Infection rates
Ito’s formula
Stochastic epidemics
Stochastic mathematical models
Stochastic permanences
Stochastic ultimate boundedness
Stochastics
Ultimate boundedness
Vertical transmission
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
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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
Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2021, 卷号: 393, 页码: 11
作者:
Li, Min
;
Huang, Chengming
;
Chen, Ziheng
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浏览/下载:50/0
  |  
提交时间:2021/04/26
Stochastic differential equations with jumps
Compensated projected Euler-Maruyama method
Mean square convergence
C-stability
B-consistency
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
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations
期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
作者:
Rockner, Michael
;
Sun, Xiaobin
;
Xie, Yingchao
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浏览/下载:37/0
  |  
提交时间:2021/04/26
Averaging principle
McKean-Vlasov stochastic differential equations
Slow-fast
Poisson equation
Strong convergence order
Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 1, 页码: 194-218
作者:
Geng, Yidan
;
Song, Minghui
;
Lu, Yulan
;
Liu, Mingzhu
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  |  
浏览/下载:22/0
  |  
提交时间:2021/01/14
Stochastic differential equations with piecewise continuous argument
local Lipschitz condition
Khasminskii-type condition
truncated Euler-Maruyama method
convergence and stability
Debris Flow Analyst (DA): A debris flow model considering kinematic uncertainties and using a GIS platform
期刊论文
ENGINEERING GEOLOGY, 2020, 卷号: 279, 页码: 11
作者:
Wu, Yuming
;
Lan, Hengxing
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浏览/下载:58/0
  |  
提交时间:2021/03/15
Debris flow
Kinematic uncertainties
Monte Carlo simulation
Stochastic differential equations
Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities
期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2020, 页码: 31
作者:
Gordina, Maria
;
Roeckner, Michael
;
Teplyaev, Alexander
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  |  
浏览/下载:5/0
  |  
提交时间:2020/09/23
Ornstein-Uhlenbeck process
Singular perturbation
Nonlinear infinite-dimensional stochastic differential equations
Non-Lipschitz monotone coefficients
Girsanov theorem
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