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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：178/0  |  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：133/0  |  提交时间：2020/09/23
least-squares approximations  optimal sampling  polynomial approximations  
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
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：119/0  |  提交时间：2021/01/14
Allen-Cahn equation  nonuniform BDF2 scheme  energy stability  discrete maximum principle  convergence analysis  
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：142/0  |  提交时间：2020/05/24
multigrid-reduction-in-time (MGRIT) algorithm  acceleration  convergence analysis  diagonalization technique  parallel coarse-grid-correction  
ON ENERGY DISSIPATION THEORY AND NUMERICAL STABILITY FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: A3757-A3778
作者:  Tang, Tao;  Yu, Haijun;  Zhou, Tao
收藏  |  浏览/下载：146/0  |  提交时间：2020/09/23
time-fractional phase-field equations  Allen-Cahn equation  Cahn-Hilliard equation  MBE model  energy dissipation law  maximum principle