Edit Profile (opens in new tab) Shi, Zuoqiang Co-Author Distance Author ID: shi.zuoqiang Published as: Shi, Zuoqiang; Shi, ZuoQiang Documents Indexed: 66 Publications since 1997, including 20 Additional arXiv Preprints Co-Authors: 52 Co-Authors with 53 Joint Publications 2,249 Co-Co-Authors all top 5 Co-Authors 5 single-authored 19 Hou, Thomas Yizhao 6 Zhang, Yajie 5 Osher, Stanley Joel 4 Chen, Junqing 4 Wang, Bao 4 Wang, Shu 3 Chen, Fukai 3 Du, Qiang 3 Hu, Pipi 3 Li, Zhen 3 Lin, Guochang 3 Tavallali, Peyman 3 Zhu, Wei 2 Bao, Chenglong 2 Dong, Bin 2 Gan, Weiye 2 Kevrekidis, Panayotis G. 2 Liu, Chunguang 2 Tian, Minghao 1 Ci, Maolin 1 Deng, Bailin 1 Dong, Guozhi 1 Feng, Xinlong 1 Feng, Xue 1 Gao, Junpeng 1 Guo, Hailong 1 Horne, Rudy Lee 1 Huang, Yonggang Young 1 Ju, Haocheng 1 Law, Kody J. H. 1 Li, Congming 1 Li, Dongsheng 1 Li, Haohan 1 Li, Siyu 1 Li, Yicheng 1 Ling, Huaming 1 Liu, Xintong 1 Liu, Ziyang 1 Lu, Yiping 1 Malomed, Boris A. 1 Piggott, Matthew D. 1 Song, Wenbin 1 Sun, Fanglei 1 Sun, Tao 1 Susanto, Hadi 1 Tao, Wenqi 1 Tian, Zheng 1 Wallwork, Joseph G. 1 Wang, Bin 1 Wang, Tangjun 1 Wang, Xiaoping 1 Whitaker, Nathaniel 1 Xiao, Dong 1 Xiao, Jianliang 1 Xiao, Xufeng 1 Yu, Xinwei 1 Yuan, Binjie 1 Zeng, Zhijun 1 Zhang, Mingrui 1 Zhang, Yuejin 1 Zhu, Yi all top 5 Serials 4 Multiscale Modeling & Simulation 4 Communications in Mathematical Sciences 2 Journal of Computational Physics 2 Journal of Computational Mathematics 2 Journal of Scientific Computing 2 Applied and Computational Harmonic Analysis 2 Communications in Computational Physics 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 2 Research in the Mathematical Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 International Journal of Plasticity 1 Journal of Sound and Vibration 1 Physics Letters. A 1 Advances in Mathematics 1 Computer Aided Geometric Design 1 SIAM Journal on Scientific Computing 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Adaptive Data Analysis 1 Communications in Mathematics and Statistics 1 ICCM Notices 1 Advances in Data Science and Adaptive Analysis 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 26 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 13 Information and communication theory, circuits (94-XX) 6 Fluid mechanics (76-XX) 5 Computer science (68-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 242 times in 147 Documents Cited by ▼ Year ▼ An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. Zbl 1161.76048 Hou, Thomas Y.; Shi, Zuoqiang 25 2008 Low dimensional manifold model for image processing. Zbl 1401.49042 Osher, Stanley; Shi, Zuoqiang; Zhu, Wei 23 2017 Adaptive data analysis via sparse time-frequency representation. Zbl 1234.94015 Hou, Thomas Y.; Shi, Zuoqiang 21 2011 Data-driven time-frequency analysis. Zbl 1336.94019 Hou, Thomas Y.; Shi, Zuoqiang 20 2013 Weighted nonlocal Laplacian on interpolation from sparse data. Zbl 1381.65007 Shi, Zuoqiang; Osher, Stanley; Zhu, Wei 17 2017 A convergent point integral method for isotropic elliptic equations on a point cloud. Zbl 1352.65437 Li, Zhen; Shi, Zuoqiang 16 2016 Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations. Zbl 1294.76201 Hou, Thomas Y.; Shi, Zuoqiang 16 2008 Point integral method for solving Poisson-type equations on manifolds from point clouds with convergence guarantees. Zbl 1488.65714 Li, Zhen; Shi, Zuoqiang; Sun, Jian 14 2017 On singularity formation of a 3D model for incompressible Navier-Stokes equations. Zbl 1252.35219 Hou, Thomas Y.; Shi, Zuoqiang; Wang, Shu 12 2012 Convergence of a data-driven time-frequency analysis method. Zbl 1336.94020 Hou, Thomas Y.; Shi, Zuoqiang; Tavallali, Peyman 9 2014 Extracting a shape function for a signal with intra-wave frequency modulation. Zbl 1353.94017 Hou, Thomas Y.; Shi, Zuoqiang 9 2016 On singularity formation of a nonlinear nonlocal system. Zbl 1241.35038 Hou, Thomas Y.; Li, Congming; Shi, Zuoqiang; Wang, Shu; Yu, Xinwei 8 2011 Convergence of the point integral method for Laplace-Beltrami equation on point cloud. Zbl 1395.65124 Shi, Zuoqiang; Sun, Jian 8 2017 Enforce the Dirichlet boundary condition by volume constraint in point integral method. Zbl 1397.65235 Shi, Zuoqiang 7 2017 Harmonic extension on the point cloud. Zbl 06875724 Shi, Zuoqiang; Sun, Jian; Tian, Minghao 5 2018 Extraction of intrawave signals using the sparse time-frequency representation method. Zbl 1380.94062 Tavallali, Peyman; Hou, Thomas Y.; Shi, Zuoqiang 4 2014 Convergence of Laplacian spectra from random samples. Zbl 1474.65430 Tao, Wenqi; Shi, Zuoqiang 4 2020 The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials. Zbl 1421.74079 Shi, Z.; Feng, X.; Huang, Y.; Xiao, J.; Hwang, K. C. 3 2010 Sparse time-frequency representation of nonlinear and nonstationary data. Zbl 1304.65282 Hou, Thomas Yizhao; Shi, Zuoqiang 3 2013 Sparse time frequency representations and dynamical systems. Zbl 1346.37062 Hou, Thomas Y.; Shi, Zuoqiang; Tavallali, Peyman 3 2015 Estimation of the exponential autoregressive time series model by using the genetic algorithm. Zbl 1235.70009 Shi, Z.; Aoyama, H. 2 1997 Generalization of the weighted nonlocal Laplacian in low dimensional manifold model. Zbl 1398.65021 Shi, Zuoqiang; Osher, Stanley; Zhu, Wei 2 2018 A multiscale model reduction method for partial differential equations. Zbl 1312.65206 Ci, Maolin; Hou, Thomas Y.; Shi, Zuoqiang 2 2014 On the uniqueness of sparse time-frequency representation of multiscale data. Zbl 1357.94035 Liu, Chunguang; Shi, Zuoqiang; Hou, Thomas Y. 2 2015 Point integral method for elliptic equations with variable coefficients on point cloud. Zbl 1473.65281 Li, Zhen; Shi, Zuoqiang; Sun, Jian 2 2019 EnResNet: ResNets ensemble via the Feynman-Kac formalism for adversarial defense and beyond. Zbl 1508.68312 Wang, Bao; Yuan, Binjie; Shi, Zuoqiang; Osher, Stanley J. 2 2020 A nonlocal Stokes system with volume constraints. Zbl 07672283 Du, Qiang; Shi, Zuoqiang 2 2022 Dynamic growth estimates of maximum vorticity for 3D incompressible Euler equations and the SQG model. Zbl 1237.76014 Hou, Thomas Y.; Shi, Zuoqiang 1 2012 Sparse time-frequency decomposition based on dictionary adaptation. Zbl 1353.42016 Hou, Thomas Y.; Shi, Zuoqiang 1 2016 Sparse time-frequency decomposition for multiple signals with same frequencies. Zbl 1378.94007 Hou, Thomas Y.; Shi, Zuoqiang 1 2017 A nonlocal model of elliptic equation with jump coefficients on manifold. Zbl 1479.35007 Zhang, Yajie; Shi, Zuoqiang 1 2021 Weighted nonlocal total variation in image processing. Zbl 1455.94029 Li, Haohan; Shi, Zuoqiang; Wang, Xiao-Ping 1 2019 Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method. Zbl 07674310 Xiao, Xufeng; Feng, Xinlong; Shi, Zuoqiang 1 2023 Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method. Zbl 07674310 Xiao, Xufeng; Feng, Xinlong; Shi, Zuoqiang 1 2023 A nonlocal Stokes system with volume constraints. Zbl 07672283 Du, Qiang; Shi, Zuoqiang 2 2022 A nonlocal model of elliptic equation with jump coefficients on manifold. Zbl 1479.35007 Zhang, Yajie; Shi, Zuoqiang 1 2021 Convergence of Laplacian spectra from random samples. Zbl 1474.65430 Tao, Wenqi; Shi, Zuoqiang 4 2020 EnResNet: ResNets ensemble via the Feynman-Kac formalism for adversarial defense and beyond. Zbl 1508.68312 Wang, Bao; Yuan, Binjie; Shi, Zuoqiang; Osher, Stanley J. 2 2020 Point integral method for elliptic equations with variable coefficients on point cloud. Zbl 1473.65281 Li, Zhen; Shi, Zuoqiang; Sun, Jian 2 2019 Weighted nonlocal total variation in image processing. Zbl 1455.94029 Li, Haohan; Shi, Zuoqiang; Wang, Xiao-Ping 1 2019 Harmonic extension on the point cloud. Zbl 06875724 Shi, Zuoqiang; Sun, Jian; Tian, Minghao 5 2018 Generalization of the weighted nonlocal Laplacian in low dimensional manifold model. Zbl 1398.65021 Shi, Zuoqiang; Osher, Stanley; Zhu, Wei 2 2018 Low dimensional manifold model for image processing. Zbl 1401.49042 Osher, Stanley; Shi, Zuoqiang; Zhu, Wei 23 2017 Weighted nonlocal Laplacian on interpolation from sparse data. Zbl 1381.65007 Shi, Zuoqiang; Osher, Stanley; Zhu, Wei 17 2017 Point integral method for solving Poisson-type equations on manifolds from point clouds with convergence guarantees. Zbl 1488.65714 Li, Zhen; Shi, Zuoqiang; Sun, Jian 14 2017 Convergence of the point integral method for Laplace-Beltrami equation on point cloud. Zbl 1395.65124 Shi, Zuoqiang; Sun, Jian 8 2017 Enforce the Dirichlet boundary condition by volume constraint in point integral method. Zbl 1397.65235 Shi, Zuoqiang 7 2017 Sparse time-frequency decomposition for multiple signals with same frequencies. Zbl 1378.94007 Hou, Thomas Y.; Shi, Zuoqiang 1 2017 A convergent point integral method for isotropic elliptic equations on a point cloud. Zbl 1352.65437 Li, Zhen; Shi, Zuoqiang 16 2016 Extracting a shape function for a signal with intra-wave frequency modulation. Zbl 1353.94017 Hou, Thomas Y.; Shi, Zuoqiang 9 2016 Sparse time-frequency decomposition based on dictionary adaptation. Zbl 1353.42016 Hou, Thomas Y.; Shi, Zuoqiang 1 2016 Sparse time frequency representations and dynamical systems. Zbl 1346.37062 Hou, Thomas Y.; Shi, Zuoqiang; Tavallali, Peyman 3 2015 On the uniqueness of sparse time-frequency representation of multiscale data. Zbl 1357.94035 Liu, Chunguang; Shi, Zuoqiang; Hou, Thomas Y. 2 2015 Convergence of a data-driven time-frequency analysis method. Zbl 1336.94020 Hou, Thomas Y.; Shi, Zuoqiang; Tavallali, Peyman 9 2014 Extraction of intrawave signals using the sparse time-frequency representation method. Zbl 1380.94062 Tavallali, Peyman; Hou, Thomas Y.; Shi, Zuoqiang 4 2014 A multiscale model reduction method for partial differential equations. Zbl 1312.65206 Ci, Maolin; Hou, Thomas Y.; Shi, Zuoqiang 2 2014 Data-driven time-frequency analysis. Zbl 1336.94019 Hou, Thomas Y.; Shi, Zuoqiang 20 2013 Sparse time-frequency representation of nonlinear and nonstationary data. Zbl 1304.65282 Hou, Thomas Yizhao; Shi, Zuoqiang 3 2013 On singularity formation of a 3D model for incompressible Navier-Stokes equations. Zbl 1252.35219 Hou, Thomas Y.; Shi, Zuoqiang; Wang, Shu 12 2012 Dynamic growth estimates of maximum vorticity for 3D incompressible Euler equations and the SQG model. Zbl 1237.76014 Hou, Thomas Y.; Shi, Zuoqiang 1 2012 Adaptive data analysis via sparse time-frequency representation. Zbl 1234.94015 Hou, Thomas Y.; Shi, Zuoqiang 21 2011 On singularity formation of a nonlinear nonlocal system. Zbl 1241.35038 Hou, Thomas Y.; Li, Congming; Shi, Zuoqiang; Wang, Shu; Yu, Xinwei 8 2011 The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials. Zbl 1421.74079 Shi, Z.; Feng, X.; Huang, Y.; Xiao, J.; Hwang, K. C. 3 2010 An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. Zbl 1161.76048 Hou, Thomas Y.; Shi, Zuoqiang 25 2008 Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations. Zbl 1294.76201 Hou, Thomas Y.; Shi, Zuoqiang 16 2008 Estimation of the exponential autoregressive time series model by using the genetic algorithm. Zbl 1235.70009 Shi, Z.; Aoyama, H. 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 264 Authors 21 Shi, Zuoqiang 19 Hou, Thomas Yizhao 8 Osher, Stanley Joel 7 Wu, Hau-Tieng 6 Calder, Jeff 6 Harlim, John 6 Wang, Shu 5 Slepčev, Dejan 4 Cicone, Antonio 4 Yang, Haizhao 4 Zhu, Wei 3 Beale, J. Thomas 3 Ceniceros, Hector D. 3 Daubechies, Ingrid Chantal 3 Jiang, Shixiao Willing 3 Lai, Mingchih 3 Thorpe, Matthew 3 Yang, Jinting 3 Zhang, Tong 3 Zhou, Hao-Min 2 Chen, Yifan 2 Dong, Bin 2 Du, Qiang 2 Fisher, Jordan E. 2 Fung, Samy Wu 2 Guy, Robert D. 2 Kang, Myungjoo 2 Kumar, Manish 2 Li, Jia 2 Li, Zhen 2 Liu, Chunguang 2 Liu, Pengfei 2 Lushnikov, Pavel Mikhaĭlovich 2 Ong, Kian Chuan 2 Pantano, Carlos 2 Roma, Alexandre Megiorin 2 Roy, Somnath 2 Sanz-Alonso, Daniel 2 Schaeffer, Hayden 2 Siegel, Michael 2 Silantyev, Denis A. 2 Singh, Pushpendra 2 Steinerberger, Stefan 2 Tao, Terence 2 Tavallali, Peyman 2 Tian, Xiaochuan 2 Wang, Bao 2 Wang, Yongxin 2 Yan, Qile 2 Yang, Ruiyi 2 Zhou, Zhi 1 Alberti, Giovanni S. 1 Ambrose, David M. 1 Angulo, Jesús 1 Antil, Harbir 1 Arroyo, Angel 1 Bak, Soyoon 1 Barbarino, Giovanni 1 Barnard, Richard C. 1 Bendickson, Aaron 1 Berry, Tyrus 1 Bertozzi, Andrea Louise 1 Braides, Andrea 1 Brunton, Bingni Wen 1 Castro, Ángel 1 Chen, Yaoyao 1 Chen, Yiting 1 Chen, Ziyu 1 Cheng, Mulin 1 Cheng, Xiuyuan 1 Cheng, Yongguang 1 Chow, Yat Tin 1 Chui, Charles Kam-tai 1 Coifman, Ronald Raphaël 1 Copos, Calina A. 1 Cordoba, Diego 1 Dai, Mimi 1 Dal Maso, Gianni 1 Diao, Wei 1 Ding, Meng 1 Dowker, Mark 1 Dragomiretskiy, Konstantin 1 Dunlop, Matthew M. 1 Feldman, William M. 1 Feng, Xiangchu 1 Feng, Xinlong 1 Flores, Mauricio 1 Gao, Tingran 1 Geng, Fan 1 Gilani, Faheem 1 Gilles, Jérôme 1 Gómez-Serrano, Javier 1 Griffith, Boyce E. 1 Hao, Jian 1 Hauck, Cory D. 1 He, Dongdong 1 He, Ruiqiang 1 Heaton, Howard 1 Hendrickson, Kelli 1 Hirsh, Seth M. ...and 164 more Authors all top 5 Cited in 61 Serials 20 Journal of Computational Physics 12 Journal of Scientific Computing 12 Applied and Computational Harmonic Analysis 9 Multiscale Modeling & Simulation 6 SIAM Journal on Imaging Sciences 4 SIAM Journal on Mathematical Analysis 4 Inverse Problems and Imaging 4 SIAM Journal on Mathematics of Data Science 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Journal of Nonlinear Science 3 SIAM Journal on Scientific Computing 3 Discrete and Continuous Dynamical Systems 2 Nonlinearity 2 Applied Mathematics and Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Machine Learning Research (JMLR) 2 Numerical Mathematics: Theory, Methods and Applications 2 Science China. Mathematics 2 Research in the Mathematical Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Advances in Data Science and Adaptive Analysis 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Physica A 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Circuits, Systems, and Signal Processing 1 Journal of Computational Mathematics 1 Statistical Science 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Imaging and Vision 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 The Journal of Fourier Analysis and Applications 1 Chaos 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Computational Physics 1 GEM - International Journal on Geomathematics 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Function Spaces 1 Annals of PDE 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Pure and Applied Analysis 1 Foundations of Data Science all top 5 Cited in 30 Fields 80 Numerical analysis (65-XX) 46 Fluid mechanics (76-XX) 45 Partial differential equations (35-XX) 32 Information and communication theory, circuits (94-XX) 23 Computer science (68-XX) 19 Statistics (62-XX) 15 Mechanics of deformable solids (74-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Global analysis, analysis on manifolds (58-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) 6 Operations research, mathematical programming (90-XX) 5 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 2 Real functions (26-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year