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Optimal design for kernel interpolation: Applications to uncertainty quantification 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 430, 页码: 19
作者:  Narayan, Akil;  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：144/0  |  提交时间：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
作者:  Sun, Yabing;  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Mean-field forward backward stochastic differential equations  Explicit multistep scheme  Error estimates  
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
作者:  Wu, Shu-Lin;  Zhou, Tao
收藏  |  浏览/下载：153/0  |  提交时间：2021/04/26
Parabolic PDE-constrained optimization  PinT algorithm  diagonalization technique  preconditioner  GMRES  BiCGStab  
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：181/0  |  提交时间：2020/06/30
Time-fractional Allen-Cahn equation  Alikhanov formula  Adaptive time-stepping strategy  Discrete maximum principle  Sharp error estimate  
Constructing Least-Squares Polynomial Approximations 期刊论文
SIAM REVIEW, 2020, 卷号: 62, 期号: 2, 页码: 483-508
作者:  Guo, Ling;  Narayan, Akil;  Zhou, Tao
收藏  |  浏览/下载：135/0  |  提交时间：2020/09/23
least-squares approximations  optimal sampling  polynomial approximations  
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
作者:  Tang, Tao;  Wang, Li-Lian;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载：155/0  |  提交时间：2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
A GAUSS-SEIDEL TYPE METHOD FOR DYNAMIC NONLINEAR COMPLEMENTARITY PROBLEMS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 卷号: 58, 期号: 6, 页码: 3389-3412
作者:  Wu, Shu-Lin;  Zhou, Tao;  Chen, Xiaojun
收藏  |  浏览/下载：128/0  |  提交时间：2021/04/26
dynamic nonlinear complementarity problems  iterative methods  convergence analysis  nonsmooth circuit systems  projected dynamic systems  
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
作者:  Fang, Zhiwei;  Li, Jichun;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：163/0  |  提交时间：2020/01/10
Maxwell's equations  Finite element method  Random inputs  Polynomial chaos methods  Stochastic Galerkin  
ACCELERATION OF THE TWO-LEVEL MGRIT ALGORITHM VIA THE DIAGONALIZATION TECHNIQUE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 5, 页码: A3421-A3448
作者:  Wu, Shu-Lin;  Zhou, Tao
收藏  |  浏览/下载：144/0  |  提交时间：2020/05/24
multigrid-reduction-in-time (MGRIT) algorithm  acceleration  convergence analysis  diagonalization technique  parallel coarse-grid-correction  
AN ADAPTIVE MULTIFIDELITY PC-BASED ENSEMBLE KALMAN INVERSION FOR INVERSE PROBLEMS 期刊论文
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2019, 卷号: 9, 期号: 3, 页码: 205-220
作者:  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
Bayesian inverse problems  ensemble Kalman inversion  multifidelity polynomial chaos  surrogate modeling