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Author ID: zhang.zhiwen Recent zbMATH articles by "Zhang, Zhiwen"
Published as: Zhang, Zhiwen

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 269 times in 178 Documents Cited by Year
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. I: Derivation and algorithms. Zbl 1297.65008
Cheng, Mulin; Hou, Thomas Y.; Zhang, Zhiwen
49
2013
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. II: Adaptivity and generalizations. Zbl 1297.65007
Cheng, Mulin; Hou, Thomas Y.; Zhang, Zhiwen
33
2013
A mesh-free method for interface problems using the deep learning approach. Zbl 1454.65173
Wang, Zhongjian; Zhang, Zhiwen
33
2020
Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. Zbl 1152.65092
Han, Houde; Zhang, Zhiwen
18
2008
A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068
Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen
17
2013
A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach. Zbl 1420.35083
Hou, Thomas Y.; Ma, Dingjiong; Zhang, Zhiwen
14
2019
An Eulerian surface hopping method for the Schrödinger equation with conical crossings. Zbl 1219.35202
Jin, Shi; Qi, Peng; Zhang, Zhiwen
11
2011
Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. Zbl 1415.65251
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Zhang, Zhiwen
10
2018
An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. Zbl 1162.65377
Han, Houde; Zhang, Zhiwen
9
2009
A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction. Zbl 1459.35194
Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai
8
2020
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
7
2018
Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension. Zbl 07256280
Wang, Zhongjian; Luo, Xue; Yau, Stephen S.-T.; Zhang, Zhiwen
6
2020
An adaptive ANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient. Zbl 1388.65178
Zhang, Zhiwen; Hu, Xin; Hou, Thomas Y.; Lin, Guang; Yan, Mike
5
2014
Computing eigenvalues and eigenfunctions of Schrödinger equations using a model reduction approach. Zbl 1475.65183
Li, Shuangping; Zhang, Zhiwen
5
2018
A multiscale finite element method for the Schrödinger equation with multiscale potentials. Zbl 1428.35111
Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen
5
2019
Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings. Zbl 1210.65155
Han, Houde; Zhang, Zhiwen
4
2011
A model reduction method for elliptic PDEs with random input using the heterogeneous stochastic FEM framework. Zbl 1341.65004
Hou, Thomas Y.; Liu, Pengfei; Zhang, Zhiwen
4
2016
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
4
2021
Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients. Zbl 1416.65450
Han, Houde; Zhang, Zhiwen
4
2012
Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. Zbl 1496.65192
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
3
2021
Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients. Zbl 1439.35588
Ma, Dingjiong; Ching, Wai-ki; Zhang, Zhiwen
3
2020
Split local artificial boundary conditions for the two-dimensional sine-Gordon equation on \(\mathbb R^2\). Zbl 1388.65055
Han, Houde; Zhang, Zhiwen
2
2011
Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. Zbl 1509.37120
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
2020
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method. Zbl 07540355
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
2022
Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials. Zbl 1506.81008
Chen, Jingrun; Li, Sijing; Zhang, Zhiwen
2
2020
A multiscale reduced basis method for the Schrödinger equation with multiscale and random potentials. Zbl 1454.35070
Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen
1
2020
A second order accuracy preserving method for moving contact lines with Stokes flow. Zbl 07515862
Chai, Shuqing; Zhang, Zhen; Zhang, Zhiwen
1
2021
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
1
2022
Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data. Zbl 1520.35175
Liu, Yanfang; Wu, Zhizhang; Sun, Jiguang; Zhang, Zhiwen
1
2023
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. Zbl 1517.62030
Li, Sijing; Zhang, Cheng; Zhang, Zhiwen; Zhao, Hongkai
1
2023
A QMC-deep learning method for diffusivity estimation in random domains. Zbl 1474.65007
Lv, Liyao; Zhang, Zhiwen; Chen, Jingrun
1
2020
An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations. Zbl 1507.65192
Wu, Zhizhang; Zhang, Zhiwen
1
2022
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. Zbl 07690228
Wang, Zhongjian; Zhang, Wenlong; Zhang, Zhiwen
1
2023
An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations. Zbl 1435.65154
Chung, Eric T.; Pun, Sai-Mang; Zhang, Zhiwen
1
2019
Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data. Zbl 1520.35175
Liu, Yanfang; Wu, Zhizhang; Sun, Jiguang; Zhang, Zhiwen
1
2023
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. Zbl 1517.62030
Li, Sijing; Zhang, Cheng; Zhang, Zhiwen; Zhao, Hongkai
1
2023
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. Zbl 07690228
Wang, Zhongjian; Zhang, Wenlong; Zhang, Zhiwen
1
2023
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method. Zbl 07540355
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
2022
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
1
2022
An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations. Zbl 1507.65192
Wu, Zhizhang; Zhang, Zhiwen
1
2022
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
4
2021
Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. Zbl 1496.65192
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
3
2021
A second order accuracy preserving method for moving contact lines with Stokes flow. Zbl 07515862
Chai, Shuqing; Zhang, Zhen; Zhang, Zhiwen
1
2021
A mesh-free method for interface problems using the deep learning approach. Zbl 1454.65173
Wang, Zhongjian; Zhang, Zhiwen
33
2020
A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction. Zbl 1459.35194
Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai
8
2020
Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension. Zbl 07256280
Wang, Zhongjian; Luo, Xue; Yau, Stephen S.-T.; Zhang, Zhiwen
6
2020
Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients. Zbl 1439.35588
Ma, Dingjiong; Ching, Wai-ki; Zhang, Zhiwen
3
2020
Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. Zbl 1509.37120
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2
2020
Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials. Zbl 1506.81008
Chen, Jingrun; Li, Sijing; Zhang, Zhiwen
2
2020
A multiscale reduced basis method for the Schrödinger equation with multiscale and random potentials. Zbl 1454.35070
Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen
1
2020
A QMC-deep learning method for diffusivity estimation in random domains. Zbl 1474.65007
Lv, Liyao; Zhang, Zhiwen; Chen, Jingrun
1
2020
A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach. Zbl 1420.35083
Hou, Thomas Y.; Ma, Dingjiong; Zhang, Zhiwen
14
2019
A multiscale finite element method for the Schrödinger equation with multiscale potentials. Zbl 1428.35111
Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen
5
2019
An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations. Zbl 1435.65154
Chung, Eric T.; Pun, Sai-Mang; Zhang, Zhiwen
1
2019
Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. Zbl 1415.65251
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Zhang, Zhiwen
10
2018
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
7
2018
Computing eigenvalues and eigenfunctions of Schrödinger equations using a model reduction approach. Zbl 1475.65183
Li, Shuangping; Zhang, Zhiwen
5
2018
A model reduction method for elliptic PDEs with random input using the heterogeneous stochastic FEM framework. Zbl 1341.65004
Hou, Thomas Y.; Liu, Pengfei; Zhang, Zhiwen
4
2016
An adaptive ANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient. Zbl 1388.65178
Zhang, Zhiwen; Hu, Xin; Hou, Thomas Y.; Lin, Guang; Yan, Mike
5
2014
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. I: Derivation and algorithms. Zbl 1297.65008
Cheng, Mulin; Hou, Thomas Y.; Zhang, Zhiwen
49
2013
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. II: Adaptivity and generalizations. Zbl 1297.65007
Cheng, Mulin; Hou, Thomas Y.; Zhang, Zhiwen
33
2013
A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068
Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen
17
2013
Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients. Zbl 1416.65450
Han, Houde; Zhang, Zhiwen
4
2012
An Eulerian surface hopping method for the Schrödinger equation with conical crossings. Zbl 1219.35202
Jin, Shi; Qi, Peng; Zhang, Zhiwen
11
2011
Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings. Zbl 1210.65155
Han, Houde; Zhang, Zhiwen
4
2011
Split local artificial boundary conditions for the two-dimensional sine-Gordon equation on \(\mathbb R^2\). Zbl 1388.65055
Han, Houde; Zhang, Zhiwen
2
2011
An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. Zbl 1162.65377
Han, Houde; Zhang, Zhiwen
9
2009
Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. Zbl 1152.65092
Han, Houde; Zhang, Zhiwen
18
2008
all top 5

Cited by 323 Authors

26 Zhang, Zhiwen
9 Babaee, Hessam
9 Xin, Jack X.
8 Hou, Thomas Yizhao
8 Leung, Wingtat
7 Chung, Tsz Shun Eric
7 Efendiev, Yalchin R.
7 Karniadakis, George Em
7 Wang, Zhongjian
5 Lin, Guang
4 Chen, Jingrun
4 Guo, Ling
4 Liao, Qifeng
4 Lu, Jianfeng
4 Ma, Dingjiong
4 Nobile, Fabio
4 Sapsis, Themistoklis P.
4 Wu, Zhizhang
3 Choi, Minseok
3 Dehghan Takht Fooladi, Mehdi
3 Han, Houde
3 Hu, Wei-Fan
3 Lai, Mingchih
3 Li, Hongwei
3 Li, Qin
3 Li, Sijing
3 Lin, Te-Sheng
3 Liu, Pengfei
3 Musharbash, Eleonora
3 Wang, Guanjie
3 Zhang, Zecheng
2 Alikhanov, Anatoliĭ Alievich
2 Cheng, Mulin
2 Cheng, Xiaoliang
2 Dektor, Alec
2 Ehrhardt, Matthias
2 Esquivel, Hugo
2 Fang, Zhiwei
2 Friess, Marie Billaud
2 Fu, Shubin
2 Gerbeau, Jean-Frédéric
2 Hu, Xiaozhe
2 Hu, Yunxia
2 Jiang, Lijian
2 Jin, Shi
2 Kosmas, Odysseas
2 Lakestani, Mehrdad
2 Li, Jichun
2 Li, Wei
2 Li, Wenyuan
2 Li, Xiaolin
2 Liu, Yuyu
2 Lombardi, Damiano
2 Lu, Benzhuo
2 Lyu, Junlong
2 Matrasulov, D. U.
2 Ming, Ju
2 Nouy, Anthony
2 Papadopoulos, Dimitrios H.
2 Patil, Prerna
2 Poëtte, Gaël
2 Prakash, Arun J.
2 Pun, Saimang
2 Tang, Yifa
2 Vabishchevich, Pëtr Nikolaevich
2 Venturi, Daniele
2 Vidličková, Eva
2 Vlachos, Dimitrios
2 Wang, Yiran
2 Wu, Sidi
2 Xu, Zhi-Qin John
2 Yang, Andy L.
2 Yau, Stephen Shing-Toung
2 Yusupov, J. R.
2 Zhang, Cheng
2 Zhang, Dongkun
2 Zhang, Jiwei
2 Zhao, Hongkai
2 Zhou, Zhennan
1 Aimi, Alessandra
1 Akramov, M. E.
1 Al Juhani, Amnah S.
1 Albarakati, Aishah
1 Ashtiani, Shaghayegh Zamani
1 Audouze, Christophe
1 Bal, Guillaume
1 Bazant, Martin Z.
1 Beck, Christian
1 Bersetche, Francisco M.
1 Bianchini, Roberta
1 Bigoni, Daniele
1 Bilionis, Ilias
1 Birolleau, Alexandre
1 Borthagaray, Juan Pablo
1 Brunner, Hermann
1 Budišić, Marko
1 Cai, Wei
1 Cai, Weihua
1 Cao, Fujun
1 Cao, Shen
...and 223 more Authors
all top 5

Cited in 56 Serials

43 Journal of Computational Physics
13 Computer Methods in Applied Mechanics and Engineering
11 Multiscale Modeling & Simulation
10 Communications in Computational Physics
9 Journal of Computational and Applied Mathematics
8 SIAM Journal on Scientific Computing
5 Journal of Scientific Computing
4 Computers & Mathematics with Applications
4 SIAM Journal on Numerical Analysis
3 Mathematical Methods in the Applied Sciences
3 Applied Mathematics and Computation
3 Numerische Mathematik
3 Applied Mathematical Modelling
3 SIAM/ASA Journal on Uncertainty Quantification
2 Computer Physics Communications
2 Journal of Engineering Mathematics
2 Physics Letters. A
2 Mathematics of Computation
2 BIT
2 Applied Numerical Mathematics
2 Numerical Methods for Partial Differential Equations
2 Advances in Computational Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 International Journal of Numerical Analysis and Modeling
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Numerical Mathematics: Theory, Methods and Applications
1 Wave Motion
1 Automatica
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 SIAM Journal on Control and Optimization
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 European Journal of Applied Mathematics
1 Numerical Algorithms
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 Chaos
1 Fractional Calculus & Applied Analysis
1 International Journal of Applied Mathematics and Computer Science
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics and Computing
1 International Journal of Computational Methods
1 Acta Numerica
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 Statistics and Computing
1 Communications in Mathematics and Statistics
1 East Asian Journal on Applied Mathematics
1 Mathematics
1 Minimax Theory and its Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Nonlinear and Variational Analysis
1 Electronic Research Archive
1 Sampling Theory, Signal Processing, and Data Analysis

Citations by Year