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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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A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations
期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 3, 页码: 29
Authors:
Liu, Jun
;
Wang, Xiang-Sheng
;
Wu, Shu-Lin
;
Zhou, Tao
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View/Download:7/0
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Submit date:2022/04/29
Direct PinT algorithms
Diagonalization technique
Condition number
Wave-type equations
Stein variational gradient descent with local approximations
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 386, 页码: 20
Authors:
Yan, Liang
;
Zhou, Tao
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View/Download:5/0
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Submit date:2022/04/02
Stein variational gradient decent
Bayesian inference
Deep learning
Local approximation
Optimal design for kernel interpolation: Applications to uncertainty quantification
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 430, 页码: 19
Authors:
Narayan, Akil
;
Yan, Liang
;
Zhou, Tao
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View/Download:29/0
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Submit date:2021/04/26
Kernel interpolation
Fekete points
Cholesky decomposition with pivoting
Hermite interpolation
Uncertainty quantification
AN EXPLICIT MULTISTEP SCHEME FOR MEAN-FIELD FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 25
Authors:
Sun, Yabing
;
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
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View/Download:9/0
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Submit date:2022/04/02
Mean-field forward backward stochastic differential equations
Explicit multistep scheme
Error estimates
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 16
Authors:
Liao, Hong-Lin
;
Song, Xuehua
;
Tang, Tao
;
Zhou, Tao
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View/Download:31/0
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Submit date:2021/04/26
molecular beam epitaxial growth
variable-step BDF2 scheme
discrete orthogonal convolution kernels
energy stability
convergence analysis
AN ACCELERATION STRATEGY FOR RANDOMIZE-THEN-OPTIMIZE SAMPLING VIA DEEP NEURAL NETWORKS*
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 卷号: 39, 期号: 6, 页码: 848-864
Authors:
Yan, Liang
;
Zhou, Tao
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View/Download:6/0
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Submit date:2022/04/02
Bayesian inverse problems
Deep neural network
Markov chain Monte Carlo
AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
Authors:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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View/Download:6/0
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Submit date:2022/04/02
time-fractional Allen--Cahn equation
asymptotic preserving
energy stability
adaptive time stepping
max-imum principle
Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems
期刊论文
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2020, 卷号: 26, 页码: 26
Authors:
Wu, Shu-Lin
;
Zhou, Tao
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View/Download:27/0
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Submit date:2021/04/26
Parabolic PDE-constrained optimization
PinT algorithm
diagonalization technique
preconditioner
GMRES
BiCGStab
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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View/Download:27/0
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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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View/Download:25/0
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Submit date:2021/01/14
Bayesian inverse problems
deep neural networks
multi-fidelity surrogate modeling
Markov chain Monte Carlo