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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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CLT for approximating ergodic limit of SPDEs via a full discretization
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
Authors:
Chen, Chuchu
;
Dang, Tonghe
;
Hong, Jialin
;
Zhou, Tau
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View/Download:74/0
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Submit date:2023/02/07
Central limit theorem
Stochastic partial differential equation
Full discretization
Poisson equation
Ergodic limit
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems
期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Sheng, Derui
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View/Download:74/0
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Submit date:2022/04/29
Hitting probability
Numerical discretization
Stochastic parabolic system
Critical dimension
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
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Lu, Yulan
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Submit date: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
Authors:
Chen, Chuchu
;
Cui, Jianbo
;
Hong, Jialin
;
Sheng, Derui
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View/Download:58/0
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Submit date:2022/06/21
density
convergence order
accelerated exponential Euler scheme
stochastic heat equation
Malliavin calculus
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation
期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
;
Sun, Liying
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View/Download:84/0
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Submit date:2022/04/29
Large deviations principle
Symplectic discretizations
Stochastic Schrodinger equation
Rate function
Exponential tightness
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
Authors:
Chen, Chuchu
;
Hong, Jialing
;
Jin, Diancong
;
Sun, Liying
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View/Download:109/0
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Submit date:2021/04/26
stochastic symplectic methods
superiority
large deviations principle
rate function
asymptotical preservation
SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 4, 页码: 2197-2217
Authors:
Chen, Chuchu
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View/Download:66/0
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Submit date:2022/04/02
stochastic Maxwell equations
symplectic dG full discretization
mean-square convergence
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
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Sim, Chol
;
Sonwu, Kwang
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View/Download:117/0
  |  
Submit date: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
Authors:
Chen, Chuchu
;
Cohen, David
;
D'Ambrosio, Raffaele
;
Lang, Annika
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View/Download:110/0
  |  
Submit date: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
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
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View/Download:91/0
  |  
Submit date:2020/05/24
Stochastic differential equations
Invariants
Conservative methods
Mean square convergence order
Quadrature formula