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期刊论文 [27]
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A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Linearization of nonlinear Fokker-Planck equations and applications
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:
Ren, Panpan
;
Roeckner, Michael
;
Wang, Feng-Yu
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  |  
浏览/下载:8/0
  |  
提交时间:2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula
Structure-Preserving Numerical Methods for Stochastic Poisson Systems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
作者:
Hong, Jialin
;
Ruan, Jialin
;
Sun, Liying
;
Wang, Lijin
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  |  
浏览/下载:20/0
  |  
提交时间:2021/04/26
Stochastic Poisson systems
Poisson structure
Casimir functions
Poisson integrators
symplectic integrators
generating functions
stochastic rigid body system
A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 3681-3715
作者:
Fan, Chenjie
;
Xu, Weijun
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  |  
浏览/下载:19/0
  |  
提交时间:2021/10/26
Wong-Zakai
mass-critical
stochastic NLS
Probabilistic interpretation for Sobolev solutions of McKean-Vlasov partial differential equations
期刊论文
STATISTICS & PROBABILITY LETTERS, 2019, 卷号: 145, 页码: 273-283
作者:
Wu, Zhen
;
Xu, Ruimin
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  |  
浏览/下载:13/0
  |  
提交时间:2019/12/11
Mean-field BSDEs
McKean-Vlasov SDEs
McKean-Vlasov PDEs
Sobolev
solution
Stochastic flow
Backward doubly stochastic differential equations with random coefficients and quasilinear stochastic PDEs
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 卷号: 476, 期号: 1, 页码: 86-100
作者:
Wen, Jiaqiang
;
Shi, Yufeng
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/11
Backward doubly stochastic differential equations
Stochastic partial
differential equations
Nonlinear stochastic Feynman-Kac formula
On the equivalence of viscosity and distribution solutions of second-order PDEs with Neumann boundary conditions
期刊论文
Stochastic Processes and their Applications, 2019
作者:
Jiagang Ren
;
Jing Wu
;
Mengqi Zheng
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  |  
浏览/下载:8/0
  |  
提交时间:2019/12/17
Neumann boundary condition
Viscosity solution
Distribution solution
Comparison theorem
Probabilistic approach for nonlinear PDEs and SPDEs with Neumann boundary conditions
期刊论文
Journal of Mathematical Analysis and Applications, 2019
作者:
Jiagang Ren
;
Jing Wu
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  |  
浏览/下载:7/0
  |  
提交时间:2019/12/17
Reflected stochastic differential equation
HJB equation
Neumann condition
Viscosity solution
Stochastic partial differential equation
Mean-field forward and backward SDEs with jumps and associated nonlocal quasi-linear integral-PDEs
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2018, 卷号: 128, 期号: 9, 页码: 3118-3180
作者:
Li, Juan
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/11
BSDEs with jump
Mean-field BSDEs with jump
Integral-PDE of mean-field
type
Ito's formula
Value function
Backward doubly stochastic differential equations with random coefficients and quasilinear stochastic PDEs
期刊论文
Journal of Mathematical Analysis and Applications, 2018
作者:
Wen J.
;
Shi Y.
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2019/12/11
Backward doubly stochastic differential equations
Nonlinear stochastic Feynman–Kac formula
Stochastic partial differential equations
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