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A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 3, 页码: 29
Authors:  Liu, Jun;  Wang, Xiang-Sheng;  Wu, Shu-Lin;  Zhou, Tao
Favorite  |  View/Download：68/0  |  Submit date：2022/04/29
Direct PinT algorithms  Diagonalization technique  Condition number  Wave-type equations  
A UNIFORM SPECTRAL ANALYSIS FOR A PRECONDITIONED ALL-AT-ONCE SYSTEM FROM FIRST-ORDER AND SECOND-ORDER EVOLUTIONARY PROBLEMS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 3, 页码: 1331-1353
Authors:  Wu, Shu-Lin;  Zhou, Tao;  Zhou, Zhi
Favorite  |  View/Download：32/0  |  Submit date：2023/02/07
time-parallel algorithm  diagonalization technique  alpha-circulant preconditioner  stability  spectral analysis  Runge-Kutta method  two-step methods  
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
Authors:  Wu, Shu-Lin;  Zhou, Tao
Favorite  |  View/Download：94/0  |  Submit date：2021/04/26
Parabolic PDE-constrained optimization  PinT algorithm  diagonalization technique  preconditioner  GMRES  BiCGStab  
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
Authors:  Wu, Shu-Lin;  Zhou, Tao;  Chen, Xiaojun
Favorite  |  View/Download：86/0  |  Submit date：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
Authors:  Wu, Shu-Lin;  Zhou, Tao
Favorite  |  View/Download：104/0  |  Submit date：2020/05/24
multigrid-reduction-in-time (MGRIT) algorithm  acceleration  convergence analysis  diagonalization technique  parallel coarse-grid-correction  
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：107/0  |  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：64/0  |  Submit date：2018/07/30
Parareal algorithm  Fractional PDEs  Convergence analysis  Parameter optimization