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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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An Efficient Numerical Algorithm for Solving Data Driven Feedback Control Problems
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 85, 期号: 2, 页码: 27
Authors:
Archibald, Richard
;
Bao, Feng
;
Yong, Jiongmin
;
Zhou, Tao
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Submit date:2021/01/14
Stochastic optimal control
Nonlinear filtering
Data driven
Maximum principle
Stochastic optimization
An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 28, 期号: 5, 页码: 2180-2205
Authors:
Yan, Liang
;
Zhou, Tao
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Submit date:2021/01/14
Bayesian inverse problems
deep neural networks
multi-fidelity surrogate modeling
Markov chain Monte Carlo
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 414, 页码: 16
Authors:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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Submit date:2020/06/30
Time-fractional Allen-Cahn equation
Alikhanov formula
Adaptive time-stepping strategy
Discrete maximum principle
Sharp error estimate
Constructing Least-Squares Polynomial Approximations
期刊论文
SIAM REVIEW, 2020, 卷号: 62, 期号: 2, 页码: 483-508
Authors:
Guo, Ling
;
Narayan, Akil
;
Zhou, Tao
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View/Download:8/0
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Submit date:2020/09/23
least-squares approximations
optimal sampling
polynomial approximations
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
Authors:
Fu, Yu
;
Zhao, Weidong
;
Zhou, Tao
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Submit date:2020/05/24
Forward backward stochastic differential equations
stochastic optimal control
stochastic maximum principle
projected quasi-Newton methods
RATIONAL SPECTRAL METHODS FOR PDEs INVOLVING FRACTIONAL LAPLACIAN IN UNBOUNDED DOMAINS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 2, 页码: A585-A611
Authors:
Tang, Tao
;
Wang, Li-Lian
;
Yuan, Huifang
;
Zhou, Tao
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Submit date:2020/09/23
fractional Laplacian
Gegenbauer polynomials
modified rational functions
unbounded domains
Fourier transforms
spectral methods
ON ENERGY STABLE, MAXIMUM-PRINCIPLE PRESERVING, SECOND-ORDER BDF SCHEME WITH VARIABLE STEPS FOR THE ALLEN-CAHN EQUATION
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2294-2314
Authors:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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Submit date:2021/01/14
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
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
Authors:
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
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Submit date:2021/01/14
forward backward stochastic differential equations
numerical schemes
stability
consistency
convergence analysis
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
Authors:
Fang, Zhiwei
;
Li, Jichun
;
Tang, Tao
;
Zhou, Tao
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View/Download:18/0
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Submit date:2020/01/10
Maxwell's equations
Finite element method
Random inputs
Polynomial chaos methods
Stochastic Galerkin
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
Authors:
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
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Submit date:2020/01/10
Deferred correction method
Second-order forward backward stochastic differential equations
Euler scheme
High-order rate of convergence