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Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
作者:  Leng, Wei;  Ju, Lili
收藏  |  浏览/下载:124/0  |  提交时间:2022/04/29
Domain decomposition method  Diagonal sweeping  Helmholtz equation  Perfectly matched layer  Trace transfer  Parallel computing  
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
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载:158/0  |  提交时间:2020/06/30
Time-fractional Allen-Cahn equation  Alikhanov formula  Adaptive time-stepping strategy  Discrete maximum principle  Sharp error estimate  
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
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载:166/0  |  提交时间: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
作者:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
收藏  |  浏览/下载:161/0  |  提交时间:2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
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
作者:  Wu, Shu-Lin;  Zhou, Tao
收藏  |  浏览/下载:140/0  |  提交时间:2018/07/30
Parareal  Time-fractional differential equations  Local time-integrators