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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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资助项目:National Natural Science Foundation of China[91630312]
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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:137/0
  |  
提交时间:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 1, 页码: 32-59
作者:
Chen, Chuchu
;
Hong, Jialing
;
Jin, Diancong
;
Sun, Liying
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  |  
浏览/下载:166/0
  |  
提交时间:2021/04/26
stochastic symplectic methods
superiority
large deviations principle
rate function
asymptotical preservation
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
作者:
Chen, Chuchu
;
Hong, Jialin
;
Sim, Chol
;
Sonwu, Kwang
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  |  
浏览/下载:192/0
  |  
提交时间:2020/10/12
Hamiltonian wave equations
Energy preservation
EQUIP multi-symplectic methods
Drift-preserving numerical integrators for stochastic Hamiltonian systems
期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 卷号: 46, 期号: 2, 页码: 22
作者:
Chen, Chuchu
;
Cohen, David
;
D'Ambrosio, Raffaele
;
Lang, Annika
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  |  
浏览/下载:181/0
  |  
提交时间:2020/05/24
Stochastic differential equations
Stochastic Hamiltonian systems
Energy
Trace formula
Numerical schemes
Strong convergence
Weak convergence
Multilevel Monte Carlo
Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations
期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 41
作者:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
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浏览/下载:147/0
  |  
提交时间:2020/05/24
Stochastic differential equations
Invariants
Conservative methods
Mean square convergence order
Quadrature formula
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
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  |  
浏览/下载:155/0
  |  
提交时间:2018/07/30
Rough path
Hamiltonian system
Symplectic Runge-Kutta method
Implicit method
Pathwlse convergence rate
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
作者:
Hong, Jialin
;
Ji, Lihai
;
Liu, Zhihui
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  |  
浏览/下载:173/0
  |  
提交时间:2018/07/30
Nonlinear Schrodinger equation
Optimal error estimates
Charge conservation law
Local discontinuous Galerkin method
Generalized alternating numerical flux
Explicit pseudo-symplectic methods for stochastic Hamiltonian systems
期刊论文
BIT NUMERICAL MATHEMATICS, 2018, 卷号: 58, 期号: 1, 页码: 163-178
作者:
Niu, Xinyan
;
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
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  |  
浏览/下载:186/0
  |  
提交时间:2018/07/30
Stochastic Hamiltonian system
Pseudo-symplectic method
Explicit Runge-Kutta method
EXPLICIT theta-SCHEMES FOR MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2672-2697
作者:
Sun, Yabing
;
Zhao, Weidong
;
Zhou, Tao
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  |  
浏览/下载:167/0
  |  
提交时间:2018/10/07
mean-field backward stochastic differential equation
theta-schemes
error estimates
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 342, 页码: 267-285
作者:
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
;
Zhou, Weien
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  |  
浏览/下载:123/0
  |  
提交时间:2018/07/30
Nonlinear Schrodinger equation
White noise dispersion
Stochastic symplectic and multi-symplectic structures
Stochastic symplectic and multi-symplectic schemes