Zhongqiang Zhang
Title
Cited by
Cited by
Year
A fundamental mean-square convergence theorem for SDEs with locally Lipschitz coefficients and its applications
MV Tretyakov, Z Zhang
SIAM Journal on Numerical Analysis 51 (6), 3135-3162, 2013
1092013
Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
F Zeng, Z Zhang, GE Karniadakis
Computer Methods in Applied Mechanics and Engineering 327, 478-502, 2017
612017
A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations
F Zeng, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 37 (6), A2710-A2732, 2015
592015
Spectral and discontinuous spectral element methods for fractional delay equations
M Zayernouri, W Cao, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 36 (6), B904-B929, 2014
522014
Numerical methods for stochastic partial differential equations with white noise
Z Zhang, G Karniadakis
Springer, 2017
512017
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
F Zeng, Z Zhang, GE Karniadakis
Journal of Computational Physics 307, 15-33, 2016
462016
Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions
W Cao, F Zeng, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 38 (5), A3070-A3093, 2016
412016
Optimal error estimates of spectral Petrov--Galerkin and collocation methods for initial value problems of fractional differential equations
Z Zhang, F Zeng, GE Karniadakis
SIAM Journal on Numerical Analysis 53 (4), 2074-2096, 2015
342015
Anchor points matter in ANOVA decomposition
Z Zhang, M Choi, GE Karniadakis
Spectral and High Order Methods for Partial Differential Equations, 347-355, 2011
342011
Error estimates for the ANOVA method with polynomial chaos interpolation: Tensor product functions
Z Zhang, M Choi, GE Karniadakis
SIAM Journal on Scientific Computing 34 (2), A1165-A1186, 2012
322012
Numerical Methods for Stochastic Delay Differential Equations Via the Wong--Zakai Approximation
W Cao, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 37 (1), A295-A318, 2015
252015
Error estimates of spectral Galerkin methods for a linear fractional reaction–diffusion equation
Z Zhang
Journal of Scientific Computing 78 (2), 1087-1110, 2019
212019
Time-splitting schemes for fractional differential equations I: smooth solutions
W Cao, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 37 (4), A1752-A1776, 2015
202015
On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations
W Cao, Z Zhang
Journal of Computational and Applied Mathematics 245, 182-193, 2013
192013
A multistage Wiener chaos expansion method for stochastic advection-diffusion-reaction equations
Z Zhang, B Rozovskii, MV Tretyakov, GE Karniadakis
SIAM Journal on Scientific Computing 34 (2), A914-A936, 2012
192012
Variational physics-informed neural networks for solving partial differential equations
E Kharazmi, Z Zhang, GE Karniadakis
arXiv preprint arXiv:1912.00873, 2019
172019
Split-step θ-method for stochastic delay differential equations
W Cao, P Hao, Z Zhang
Applied Numerical Mathematics 76, 19-33, 2014
172014
Wiener chaos versus stochastic collocation methods for linear advection-diffusion equations with multiplicative white noise
Z Zhang, MV Tretyakov, B Rozovskii, GE Karniadakis
SIAM Journal on Numerical Analysis 53 (1), 153–183, 2015
14*2015
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition
E Kharazmi, Z Zhang, GE Karniadakis
arXiv preprint arXiv:2003.05385, 2020
132020
New explicit balanced schemes for SDEs with locally Lipschitz coefficients
Z Zhang
arXiv preprint arXiv:1402.3708, 2014
132014
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Articles 1–20