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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
Favorite  |  View/Download:5/0  |  Submit date:2020/01/10
Maxwell's equations  Finite element method  Random inputs  Polynomial chaos methods  Stochastic Galerkin  
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 110-128
Authors:  Yan, Liang;  Zhou, Tao
Favorite  |  View/Download:10/0  |  Submit date:2019/03/11
Bayesian inverse problems  Multi-fidelity polynomial chaos  Surrogate modeling  Markov chain Monte Carlo  
Data-driven polynomial chaos expansions: A weighted least-square approximation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 129-145
Authors:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
Favorite  |  View/Download:9/0  |  Submit date:2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
A Gradient-Enhanced l(1) Approach for the Recovery of Sparse Trigonometric Polynomials 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 286-308
Authors:  Xu, Zhiqiang;  Zhou, Tao
Favorite  |  View/Download:8/0  |  Submit date:2019/03/05
Gradient-enhanced l(1) minimization  compressed sensing  sparse Fourier expansions  restricted isometry property  mutual incoherence  
Parareal algorithms with local time-integrators for time-fractional differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 358, 页码: 135-149
Authors:  Wu, Shu-Lin;  Zhou, Tao
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
Parareal  Time-fractional differential equations  Local time-integrators  
Fast parareal iterations for fractional diffusion equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 329, 页码: 210-226
Authors:  Wu, Shu-Lin;  Zhou, Tao
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
Parareal algorithm  Fractional PDEs  Convergence analysis  Parameter optimization