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Tao Zhou
Tao Zhou
Professor of Mathematics, Chinese Academy of Sciences
Подтвержден адрес электронной почты в домене lsec.cc.ac.cn - Главная страница
Название
Процитировано
Процитировано
Год
On energy dissipation theory and numerical stability for time-fractional phase field equations
T Tang, H Yu, T Zhou
SIAM Journal on Scientific Computing 41 (6), A3757-A3778., 2019
1482019
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
H Liao, T Tang, T Zhou
Journal of Computational Physics 414, 109473, 2020
1452020
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems
L Yan, T Zhou
Journal of Computational Physics 381, 110-128, 2019
1182019
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation
H Liao, T Tang, T Zhou
SIAM Journal on Numerical Analysis 58 (4), pp. 2294-2314, 2020
1082020
Failure-informed adaptive sampling for PINNs
Z Gao, L Yan, T Zhou
SIAM Journal on Scientific Computing 45 (4), A1971-A1994, 2023
1012023
New kinds of high-order multistep schemes for coupled forward backward stochastic differential equations
W Zhao, Y Fu, T Zhou
SIAM Journal on Scientific Computing 36 (4), A1731-A1751, 2014
1012014
A Christoffel function weighted least squares algorithm for collocation approximations
A Narayan, J Jakeman, T Zhou
Mathematics of Computation 306 (86), 1913-1947, 2017
982017
Error analysis of the dynamically orthogonal approximation of time dependent random PDEs
E Musharbash, F Nobile, T Zhou
SIAM Journal on Scientific Computing 37 (2), A776-A810, 2015
872015
A generalized sampling and preconditioning scheme for sparse approximation of polynomial chaos expansions
JD Jakeman, A Narayan, T Zhou
SIAM Journal on Scientific Computing 39 (3), A1114-A1144, 2017
832017
Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations
L Guo, H Wu, X Yu, T Zhou
Computer Methods in Applied Mechanics and Engineering 400, 115523, 2022
792022
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains
T Tang, LL Wang, H Yuan, T Zhou
SIAM Journal on Scientific Computing 42 (2), A585-A611, 2020
712020
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen--Cahn equation
H Liao, T Tang, T Zhou
SIAM Journal on Scientific Computing 43 (5), A3503-A3526, 2021
652021
An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems
L Yan, T Zhou
Communications in Computational Physics 28 (5), 2180-2205, 2020
612020
Stochastic collocation on unstructured multivariate meshes
A Narayan, T Zhou
Communications in Computational Physics 15 (1), 1-36, 2015
60*2015
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed
T Tang, T Zhou
Communications in Computational Physics 8 (1), 226-248, 2010
582010
A gradient enhanced -minimization for sparse approximation of polynomial chaos expansions
L Guo, A Narayan, T Zhou
Journal of Computational Physics 367, 49–64, 2018
552018
Constructing least-squares polynomial approximations
L Guo, A Narayan, T Zhou
SIAM Review 62 (2), 483-508, 2020
542020
Recent developments in high order numerical methods for uncertainty quantification
T Tang, T Zhou
Scientia Sinica Mathematica 45 (7), 891-928, 2015
54*2015
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
HL Liao, X Song, T Tang, T Zhou
Science China Mathematics 64, 887-902, 2021
522021
Normalizing field flows: Solving forward and inverse stochastic differential equations using physics-informed flow models
L Guo, H Wu, T Zhou
Journal of Computational Physics 461, 111202, 2022
512022
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