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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
作者:  Liao, Hong-Lin;  Song, Xuehua;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：160/0  |  提交时间：2021/04/26
molecular beam epitaxial growth  variable-step BDF2 scheme  discrete orthogonal convolution kernels  energy stability  convergence analysis  
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：136/0  |  提交时间：2021/01/14
Allen-Cahn equation  nonuniform BDF2 scheme  energy stability  discrete maximum principle  convergence analysis  
A UNIFIED PROBABILISTIC DISCRETIZATION SCHEME FOR FBSDEs: STABILITY, CONSISTENCY, AND CONVERGENCE ANALYSIS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2351-2375
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：164/0  |  提交时间：2021/01/14
forward backward stochastic differential equations  numerical schemes  stability  consistency  convergence analysis  
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：149/0  |  提交时间：2021/04/26
dynamic nonlinear complementarity problems  iterative methods  convergence analysis  nonsmooth circuit systems  projected dynamic systems  
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：161/0  |  提交时间：2020/05/24
multigrid-reduction-in-time (MGRIT) algorithm  acceleration  convergence analysis  diagonalization technique  parallel coarse-grid-correction