Edit Profile (opens in new tab) Zhang, Zhiwen Co-Author Distance Author ID: zhang.zhiwen Published as: Zhang, Zhiwen Documents Indexed: 71 Publications since 2008, including 15 Additional arXiv Preprints Co-Authors: 63 Co-Authors with 70 Joint Publications 2,355 Co-Co-Authors all top 5 Co-Authors 1 single-authored 21 Wang, Zhongjian 14 Xin, Jack X. 8 Wu, Zhizhang 7 Hou, Thomas Yizhao 6 Chen, Jingrun 6 Ma, Dingjiong 5 Han, Houde 4 Li, Sijing 3 Cheng, Mulin 3 Ching, Wai-Ki 3 Zhang, Wenlong 2 Bai, Zhenguo 2 Chai, Shuqing 2 Chung, Tsz Shun Eric 2 Lin, Ling 2 Lyu, Junlong 2 Yan, Mike 2 Yau, Stephen Shing-Toung 2 Zhang, Cheng 2 Zhang, Tan 2 Zhang, Zhen 2 Zhao, Hongkai 2 Zhou, Xiang 1 Chen, Liuhong 1 Chen, Xiaoli 1 Chen, Yaru 1 Cui, Tiangang 1 Dan, Ralescu 1 Duan, Renjun 1 Efendiev, Yalchin R. 1 Gao, Xindan 1 Graham, Ivan G. 1 Gu, Haotian 1 Guo, Sini 1 Hu, Boyi 1 Hu, Xin 1 Jin, Shi 1 Leung, Wingtat 1 Li, Qiuqi 1 Li, Shuangping 1 Li, Wai Keung 1 Li, Xiang 1 Lin, Alvey Qianli 1 Lin, Guang 1 Liu, Pengfei 1 Liu, Yanfang 1 Luo, Xue 1 Lv, Junlong 1 Lv, Liyao 1 Ming, Ju 1 Pun, Saimang 1 Qi, Peng 1 Raquépas, Renaud 1 Rosakis, Phoebus 1 Siu, Tak Kuen 1 Sprekeler, Timo 1 Süli, Endre E. 1 Sun, Jiguang 1 Xie, Yue 1 Xiong, Meixin 1 Yang, Qingqing 1 Ying, Wenjun 1 Zhang, Zhonghua all top 5 Serials 10 Journal of Computational Physics 5 Multiscale Modeling & Simulation 4 Computer Methods in Applied Mechanics and Engineering 4 Communications in Computational Physics 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 2 IEEE Transactions on Automatic Control 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 Numerical Mathematics: Theory, Methods and Applications 2 SIAM/ASA Journal on Uncertainty Quantification 2 Communications on Analysis and Computation 1 Computers and Fluids 1 Acta Mathematicae Applicatae Sinica 1 Physica D 1 Applied Numerical Mathematics 1 International Journal of Approximate Reasoning 1 Asymptotic Analysis 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Inverse Problems and Imaging 1 Communications in Mathematical Research 1 Journal of Chongqing Normal University. Natural Science 1 Statistics and Computing 1 International Journal for Uncertainty Quantification all top 5 Fields 55 Numerical analysis (65-XX) 43 Partial differential equations (35-XX) 15 Probability theory and stochastic processes (60-XX) 11 Fluid mechanics (76-XX) 9 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Biology and other natural sciences (92-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 318 times in 208 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 51 2013 A mesh-free method for interface problems using the deep learning approach. Zbl 1454.65173 Wang, Zhongjian; Zhang, Zhiwen 39 2020 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 35 2013 Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. Zbl 1152.65092 Han, Houde; Zhang, Zhiwen 19 2008 A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068 Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen 18 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 12 2011 An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. Zbl 1162.65377 Han, Houde; Zhang, Zhiwen 10 2009 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 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 9 2020 Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209 Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen 8 2018 A multiscale finite element method for the Schrödinger equation with multiscale potentials. Zbl 1428.35111 Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen 7 2019 Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension. Zbl 1533.93818 Wang, Zhongjian; Luo, Xue; Yau, Stephen S.-T.; Zhang, Zhiwen 7 2020 Computing eigenvalues and eigenfunctions of Schrödinger equations using a model reduction approach. Zbl 1475.65183 Li, Shuangping; Zhang, Zhiwen 7 2018 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 6 2022 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 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 5 2016 Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials. Zbl 1506.81008 Chen, Jingrun; Li, Sijing; Zhang, Zhiwen 5 2020 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 5 2021 Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156 Gu, Haotian; Xin, Jack; Zhang, Zhiwen 5 2021 Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings. Zbl 1210.65155 Han, Houde; Zhang, Zhiwen 4 2011 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 A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279 Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen 4 2022 An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations. Zbl 1507.65192 Wu, Zhizhang; Zhang, Zhiwen 4 2022 Split local artificial boundary conditions for the two-dimensional sine-Gordon equation on \(\mathbb R^2\). Zbl 1388.65055 Han, Houde; Zhang, Zhiwen 3 2011 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 3 2020 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 2 2023 A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. Zbl 07690228 Wang, Zhongjian; Zhang, Wenlong; Zhang, Zhiwen 2 2023 A second order accuracy preserving method for moving contact lines with Stokes flow. Zbl 07515862 Chai, Shuqing; Zhang, Zhen; Zhang, Zhiwen 2 2021 A multiscale reduced basis method for the Schrödinger equation with multiscale and random potentials. Zbl 1454.35070 Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen 2 2020 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 Reduced-order model-based variational inference with normalizing flows for Bayesian elliptic inverse problems. Zbl 1532.35539 Wu, Zhizhang; Zhang, Cheng; Zhang, Zhiwen 1 2024 Error estimate of a quasi-Monte Carlo time-splitting pseudospectral method for nonlinear Schrödinger equation with random potentials. Zbl 07827680 Wu, Zhizhang; Zhang, Zhiwen; Zhao, Xiaofei 1 2024 A pressure Poisson equation-based second-order method for solving two-dimensional moving contact line problems with topological changes. Zbl 07832223 Chai, Shuqing; Li, Zhilin; Zhang, Zhen; Zhang, Zhiwen 1 2024 Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method. Zbl 07598348 Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen 1 2022 A QMC-deep learning method for diffusivity estimation in random domains. Zbl 1474.65007 Lv, Liyao; Zhang, Zhiwen; Chen, Jingrun 1 2020 Convergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentials. Zbl 1503.65275 Wu, Zhizhang; Zhang, Zhiwen 1 2022 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 Reduced-order model-based variational inference with normalizing flows for Bayesian elliptic inverse problems. Zbl 1532.35539 Wu, Zhizhang; Zhang, Cheng; Zhang, Zhiwen 1 2024 Error estimate of a quasi-Monte Carlo time-splitting pseudospectral method for nonlinear Schrödinger equation with random potentials. Zbl 07827680 Wu, Zhizhang; Zhang, Zhiwen; Zhao, Xiaofei 1 2024 A pressure Poisson equation-based second-order method for solving two-dimensional moving contact line problems with topological changes. Zbl 07832223 Chai, Shuqing; Li, Zhilin; Zhang, Zhen; Zhang, Zhiwen 1 2024 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 2 2023 A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. Zbl 07690228 Wang, Zhongjian; Zhang, Wenlong; Zhang, Zhiwen 2 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 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 6 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 4 2022 An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations. Zbl 1507.65192 Wu, Zhizhang; Zhang, Zhiwen 4 2022 Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method. Zbl 07598348 Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen 1 2022 Convergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentials. Zbl 1503.65275 Wu, Zhizhang; Zhang, Zhiwen 1 2022 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 5 2021 Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156 Gu, Haotian; Xin, Jack; Zhang, Zhiwen 5 2021 A second order accuracy preserving method for moving contact lines with Stokes flow. Zbl 07515862 Chai, Shuqing; Zhang, Zhen; Zhang, Zhiwen 2 2021 A mesh-free method for interface problems using the deep learning approach. Zbl 1454.65173 Wang, Zhongjian; Zhang, Zhiwen 39 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 9 2020 Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension. Zbl 1533.93818 Wang, Zhongjian; Luo, Xue; Yau, Stephen S.-T.; Zhang, Zhiwen 7 2020 Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials. Zbl 1506.81008 Chen, Jingrun; Li, Sijing; Zhang, Zhiwen 5 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 3 2020 A multiscale reduced basis method for the Schrödinger equation with multiscale and random potentials. Zbl 1454.35070 Chen, Jingrun; Ma, Dingjiong; Zhang, Zhiwen 2 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 7 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 8 2018 Computing eigenvalues and eigenfunctions of Schrödinger equations using a model reduction approach. Zbl 1475.65183 Li, Shuangping; Zhang, Zhiwen 7 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 5 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 51 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 35 2013 A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068 Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen 18 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 12 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 3 2011 An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. Zbl 1162.65377 Han, Houde; Zhang, Zhiwen 10 2009 Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. Zbl 1152.65092 Han, Houde; Zhang, Zhiwen 19 2008 all cited Publications top 5 cited Publications all top 5 Cited by 385 Authors 31 Zhang, Zhiwen 12 Xin, Jack X. 9 Babaee, Hessam 9 Wang, Zhongjian 8 Hou, Thomas Yizhao 8 Leung, Wingtat 7 Chung, Tsz Shun Eric 7 Efendiev, Yalchin R. 7 Karniadakis, George Em 5 Chen, Jingrun 5 Lin, Guang 5 Ma, Dingjiong 4 Guo, Ling 4 Liao, Qifeng 4 Lu, Jianfeng 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 Lombardi, Damiano 3 Lu, Benzhuo 3 Musharbash, Eleonora 3 Stuart, Andrew M. 3 Tang, Yifa 3 Wang, Guanjie 3 Wu, Sidi 3 Zhang, Zecheng 2 Albarakati, Aishah 2 Alikhanov, Anatoliĭ Alievich 2 Budišić, Marko 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 Henning, Patrick 2 Hu, Xiaozhe 2 Hu, Yunxia 2 Jiang, Lijian 2 Jin, Shi 2 Kosmas, Odysseas 2 Lakestani, Mehrdad 2 Li, Jichun 2 Li, Qiuqi 2 Li, Wei 2 Li, Wenyuan 2 Li, Xian 2 Li, Xiaolin 2 Liu, Yuyu 2 Lyu, Junlong 2 Matrasulov, D. U. 2 Ming, Ju 2 Nelsen, Nicholas H. 2 Nouy, Anthony 2 Papadopoulos, Dimitrios H. 2 Patil, Prerna 2 Poëtte, Gaël 2 Prakash, Arun J. 2 Pun, Saimang 2 Vabishchevich, Pëtr Nikolaevich 2 Van Vleck, Erik S. 2 Venturi, Daniele 2 Vidličková, Eva 2 Vlachos, Dimitrios 2 Wang, Yiran 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 Zhang, Zhen 2 Zhao, Hongkai 2 Zhou, Zhennan 2 Zhu, Aiqing 1 Aimi, Alessandra 1 Akramov, M. E. 1 Al Juhani, Amnah S. 1 Al-Mekhlafi, Seham Mahyoub 1 Albalawi, Anan O. 1 Ali, Muhammad Aamir 1 Ashtiani, Shaghayegh Zamani 1 Audouze, Christophe 1 Bach, Eviatar 1 Bal, Guillaume 1 Batool, Afshan ...and 285 more Authors all top 5 Cited in 65 Serials 46 Journal of Computational Physics 15 Computer Methods in Applied Mechanics and Engineering 11 Multiscale Modeling & Simulation 11 Communications in Computational Physics 9 Journal of Computational and Applied Mathematics 9 Journal of Scientific Computing 8 SIAM Journal on Scientific Computing 6 SIAM Journal on Numerical Analysis 5 Computers & Mathematics with Applications 4 Computer Physics Communications 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 Applied Numerical Mathematics 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematical Modelling 3 Chaos 3 SIAM/ASA Journal on Uncertainty Quantification 2 Journal of Engineering Mathematics 2 Physics Letters. A 2 Mathematics of Computation 2 BIT 2 Numerical Algorithms 2 Advances in Computational Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics and Computing 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 Computers and Fluids 1 Journal of Mathematical Analysis 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 Physica D 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Fractional Calculus & Applied Analysis 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Nonlinear Mathematical Physics 1 Discrete and Continuous Dynamical Systems. Series B 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 Journal of Mathematical Modeling 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 1 Communications on Analysis and Computation all top 5 Cited in 26 Fields 180 Numerical analysis (65-XX) 132 Partial differential equations (35-XX) 38 Computer science (68-XX) 35 Probability theory and stochastic processes (60-XX) 28 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Statistics (62-XX) 11 Optics, electromagnetic theory (78-XX) 9 Quantum theory (81-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Systems theory; control (93-XX) 7 Biology and other natural sciences (92-XX) 6 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Geophysics (86-XX) Citations by Year