Edit Profile (opens in new tab) Tang, Shaoqiang Co-Author Distance Author ID: tang.shaoqiang Published as: Tang, Shaoqiang; Tang, Shao-Qiang; Tang, S. more...less Documents Indexed: 82 Publications since 1967, including 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 69 Co-Authors with 55 Joint Publications 3,419 Co-Co-Authors all top 5 Co-Authors 8 single-authored 17 Liu, Wing Kam 12 Zhang, Lei 9 Pang, Gang 5 Lian, Yanping 5 Wagner, Gregory J. 5 Ying, Yuping 4 Ji, Songsong 4 Li, Hengyang 4 Yang, Yibo 4 Zhu, Xi 3 Hsieh, Din-Yu 3 Jüngel, Ansgar 3 Lu, Ye 3 Wang, Xianming 3 Wang, Xiaoping 3 Yu, Cheng 3 Zhao, Huijiang 2 Bian, Lei 2 Cozzarelli, Francis A. 2 Gao, Jiaying 2 Hou, Thomas Yizhao 2 Hsiao, Ling 2 Lin, Stephen Ching-Feng 2 Liu, Baiyili 2 Mojumder, Satyajit 2 Natalini, Roberto 2 Park, Chanwook 2 Van Mieghem, Piet 2 Wang, Ping 2 Wu, Lixin 2 Yang, Yang 1 Abbott, Trevor 1 Antoine, Xavier 1 Apley, Daniel W. 1 Aregba-Driollet, Denise 1 Arnold, Anton 1 Ben Abdallah, Naoufel 1 Carrillo de la Plata, José Antonio 1 Chen, Jun 1 Cheng, Gengdong 1 Cheng, Lin 1 Domel, Reno 1 Dreher, Michael 1 Duan, Renjun 1 Fang, Ming 1 Grimshaw, Roger Hamilton James 1 Guan, Xinyi 1 Guo, Jiachen 1 Guo, Xu 1 Huang, X. 1 Hui, Chung-Yuen 1 Kafka, Orion L. 1 Karniadakis, George Em 1 Karpov, Eduard G. 1 Kim, Do Wan 1 Kitching, R. P. 1 Knapik, Stefan 1 Kolhe, R. 1 Kuipers, Fernando A. 1 Li, Gang 1 Li, Yangfan 1 Li, Zhihui 1 Liu, Tongrui 1 Luan, Shengzhi 1 Nicely, Clint 1 Nie, Yinghao 1 Qian, Dong 1 Qian, Jing 1 Saha, Sourav 1 Sang, Zhongsheng 1 Tajdari, Mahsa 1 Tang, Shan 1 Wang, Huijuan 1 Wang, Kang 1 Xiang, Meizhen 1 Xiao, Jun 1 Xiao, Ling 1 Xie, Yi 1 Xu, Yun 1 Yu, Jidong 1 Yvonnet, Julien 1 Zehnder, Alan T. 1 Zhang, Qian 1 Zhu, Changjiang all top 5 Serials 18 Computational Mechanics 6 Computer Methods in Applied Mechanics and Engineering 4 Acta Mechanica 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Mechanica Sinica 2 International Journal of Solids and Structures 2 Journal of the Australian Mathematical Society, Series B 2 Journal of the Mechanics and Physics of Solids 2 Mathematics of Computation 2 International Journal for Numerical Methods in Engineering 2 Studies in Applied Mathematics 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Journal of Partial Differential Equations 1 AIAA Journal 1 International Journal of Mechanical Sciences 1 Information Processing Letters 1 Journal of Sound and Vibration 1 Mathematical Methods in the Applied Sciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Acta Mechanica Sinica. (English Edition) 1 Communications on Applied Nonlinear Analysis 1 The Bulletin of the Hong Kong Mathematical Society 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Probability in the Engineering and Informational Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Communications in Computational Physics all top 5 Fields 37 Mechanics of deformable solids (74-XX) 25 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 452 times in 315 Documents Cited by ▼ Year ▼ Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems. Zbl 1031.65093 Aregba-Driollet, D.; Natalini, R.; Tang, S. 44 2004 Mathematical foundations of the immersed finite element method. Zbl 1178.74170 Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang 41 2007 A mathematical framework of the bridging scale method. Zbl 1117.74056 Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 33 2006 Numerical study of Fisher’s equation by a Petrov-Galerkin finite element method. Zbl 0728.65110 Tang, S.; Weber, R. O. 28 1991 Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping. Zbl 0853.35069 Hsiao, Ling; Tang, S. Q. 25 1995 A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations. Zbl 1089.65110 Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 24 2006 From virtual clustering analysis to self-consistent clustering analysis: a mathematical study. Zbl 1471.74079 Tang, Shaoqiang; Zhang, Lei; Liu, Wing Kam 22 2018 Clustering discretization methods for generation of material performance databases in machine learning and design optimization. Zbl 1470.74073 Li, Hengyang; Kafka, Orion L.; Gao, Jiaying; Yu, Cheng; Nie, Yinghao; Zhang, Lei; Tajdari, Mahsa; Tang, Shan; Guo, Xu; Li, Gang; Tang, Shaoqiang; Cheng, Gengdong; Liu, Wing Kam 22 2019 On hydrodynamic instabilities, chaos and phase transition. Zbl 0854.76040 Hsieh, D. Y.; Tang, S. Q.; Wang, X. P. 21 1996 A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids. Zbl 1135.74049 Tang, Shaoqiang 17 2008 Nonlinear stability for dissipative nonlinear evolution equations with ellipticity. Zbl 0932.35022 Tang, Shaoqiang; Zhao, Hujiang 17 1999 Matching boundary conditions for lattice dynamics. Zbl 1352.74015 Wang, X.; Tang, S. 17 2013 A Petrov-Galerkin finite element method for the fractional advection-diffusion equation. Zbl 1439.65090 Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Lin, Stephen; Wagner, Gregory J.; Liu, Wing Kam 16 2016 Influence of assortativity and degree-preserving rewiring on the spectra of networks. Zbl 1202.05131 Van Mieghem, P.; Wang, H.; Ge, X.; Tang, S.; Kuipers, F. A. 15 2010 Hierarchical deep-learning neural networks: finite elements and beyond. Zbl 07360501 Zhang, Lei; Cheng, Lin; Li, Hengyang; Gao, Jiaying; Yu, Cheng; Domel, Reno; Yang, Yang; Tang, Shaoqiang; Liu, Wing Kam 15 2021 Numerical approximation of the viscous quantum hydrodynamic model for semiconductors. Zbl 1097.82030 Jüngel, Ansgar; Tang, Shaoqiang 12 2006 High-order central difference scheme for Caputo fractional derivative. Zbl 1439.65101 Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam 12 2017 Enriched reproducing kernel particle method for fractional advection-diffusion equation. Zbl 1404.65070 Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam 12 2018 The instability of a rectangular elastic solid. Zbl 0173.27203 Kerr, A. D.; Tang, S. 10 1967 Differential operator multiplication method for fractional differential equations. Zbl 1400.34013 Tang, Shaoqiang; Ying, Yuping; Lian, Yanping; Lin, Stephen; Yang, Yibo; Wagner, Gregory J.; Liu, Wing Kam 10 2016 Dissipative nonlinear evolution equations and chaos. Zbl 1020.37050 Hsieh, D. Y.; Tang, S. Q.; Wang, X. P.; Wu, L. X. 10 1998 Matching boundary conditions for diatomic chains. Zbl 1344.74048 Wang, Xianming; Tang, Shaoqiang 10 2010 Time history kernel functions for square lattice. Zbl 1334.70002 Pang, Gang; Tang, Shaoqiang 9 2011 An enriched finite element method to fractional advection-diffusion equation. Zbl 1429.65171 Luan, Shengzhi; Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Wagner, Gregory J.; Liu, Wing Kam 9 2017 Positive entropic schemes for a nonlinear fourth-order parabolic equation. Zbl 1023.65090 Carrillo, José A.; Jüngel, Ansgar; Tang, Shaoqiang 9 2003 HiDeNN-TD: reduced-order hierarchical deep learning neural networks. Zbl 1507.65285 Zhang, Lei; Lu, Ye; Tang, Shaoqiang; Liu, Wing Kam 9 2022 On hybrid quantum-classical transport models. Zbl 1144.81521 Ben Abdallah, Naoufel; Tang, Shaoqiang 8 2004 Fast calculation of interaction tensors in clustering-based homogenization. Zbl 1467.74100 Zhang, Lei; Tang, Shaoqiang; Yu, Cheng; Zhu, Xi; Liu, Wing Kam 8 2019 The rotation-modified Kadomtsev-Petviashvili equation: An analytical and numerical study. Zbl 0715.65094 Grimshaw, R.; Tang, S. 7 1990 Exact boundary condition for semi-discretized Schrödinger equation and heat equation in a rectangular domain. Zbl 1371.65099 Pang, Gang; Yang, Yibo; Tang, Shaoqiang 7 2017 Rate effects on toughness in elastic nonlinear viscous solids. Zbl 1419.74272 Tang, S.; Guo, T. F.; Cheng, L. 7 2008 Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model. Zbl 1440.74033 Nicely, Clint; Tang, Shaoqiang; Qian, Dong 7 2018 Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping. Zbl 0852.35095 Hsiao, Ling; Tang, S. Q. 6 1995 Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. Zbl 1473.35141 Pang, Gang; Yang, Yibo; Antoine, Xavier; Tang, Shaoqiang 6 2021 Eliminating corner effects in square lattice simulation. Zbl 1470.74075 Pang, Gang; Ji, Songsong; Yang, Yibo; Tang, Shaoqiang 6 2018 Nonlinear stability and optimal decay rate for a multidimensional generalized Kuramoto-Sivashinsky system. Zbl 0957.35116 Zhao, Huijiang; Tang, Shaoqiang 5 2000 Approximate linear relations for Bessel functions. Zbl 1384.33013 Pang, Gang; Tang, Shaoqiang 5 2017 A relaxation scheme for the hydrodynamic equations for semiconductors. Zbl 1011.82027 Jüngel, Ansgar; Tang, Shaoqiang 5 2002 Wave propagation in initially-stressed elastic solids. Zbl 0149.44104 Tang, S. 5 1967 Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant. Zbl 1107.35026 Duan, Renjun; Tang, Shaoqiang; Zhu, Changjiang 5 2006 Numerical studies on 2-dimensional reaction-diffusion equations. Zbl 0807.65103 Tang, S.; Qin, S.; Weber, R. O. 5 1993 Discrete kinetic models for dynamical phase transitions. Zbl 1110.35308 Natalini, Roberto; Tang, Shaoqiang 4 2000 Complexities arising from the study of a nonlinear evolution system with small dissipation. Zbl 0913.35094 Wang, X. P.; Tang, S. Q.; Wu, L. X.; Hsieh, D. Y. 3 1998 Artificial boundary conditions for Euler-Bernoulli beam equation. Zbl 1346.74106 Tang, Shao-Qiang; Karpov, Eduard 3 2014 Adaptive selection of reference stiffness in virtual clustering analysis. Zbl 1506.74461 Zhu, Xi; Zhang, Lei; Tang, Shaoqiang 3 2021 Analytical expression of RKPM shape functions. Zbl 1467.74094 Zhang, Lei; Tang, Shaoqiang; Liu, Wing Kam 3 2020 A Computational Mechanics special issue on: Data-driven modeling and simulation – theory, methods, and applications. Zbl 1476.00073 3 2019 Weight of the shortest path to the first encountered peer in a peer group of size \(m\). Zbl 1137.90371 Van Mieghem, P.; Tang, S. 2 2008 Time history interfacial conditions in multiscale computations of lattice oscillations. Zbl 1162.74334 Dreher, Michael; Tang, Shaoqiang 2 2008 Elastic stability of thick circular plates under three-dimensional states of stress. Zbl 0166.43707 Tang, S. 2 1967 Longitudinal waves in nonlinear viscoelastic rods under initial axial stress. Zbl 0223.73028 Cozzarelli, F. A.; Tang, S. 2 1970 Stability of Suliciu model for phase transitions. Zbl 1063.35032 Tang, Shaoqiang; Zhao, Huijiang 2 2004 Interlaminar stresses around circular cutouts in composite plates under tension. Zbl 0369.73061 Tang, S. 2 1977 Elastoplastic analysis of two-dimensional problems with hole by boundary element method using complex variables. Zbl 0784.73083 Tang, S.; Kitching, R. 2 1993 Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. Zbl 1527.74082 Lu, Ye; Li, Hengyang; Zhang, Lei; Park, Chanwook; Mojumder, Satyajit; Knapik, Stefan; Sang, Zhongsheng; Tang, Shaoqiang; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam 2 2023 An efficient algorithm for parameterizing HsMM with Gaussian and gamma distributions. Zbl 1250.62028 Xie, Y.; Tang, S.; Tang, C.; Huang, X. 1 2012 Global perturbation of the Riemann problem for the system of compressible flow through porous media. Zbl 0854.35063 Tang, Shaoqiang; Xiao, Ling 1 1995 Mode mixity and nonlinear viscous effects on toughness of interfaces. Zbl 1169.74569 Tang, S.; Guo, T. F.; Cheng, L. 1 2008 Dynamic toughness in elastic nonlinear viscous solids. Zbl 1207.74117 Tang, S.; Guo, T. F.; Cheng, L. 1 2009 Synchronization of chaos in semiconductor lasers. Zbl 1042.78511 Liu, J. M.; Chen, H. F.; Tang, S. 1 2001 Almost exact boundary conditions for transient Schrödinger-Poisson system. Zbl 1349.65267 Bian, Lei; Pang, Gang; Tang, Shaoqiang; Arnold, Anton 1 2016 Lateral vibration of a non-linear viscoelastic beam under initial axial tension. Zbl 0202.25304 Cozzarelli, F. A.; Wu, J. J.; Tang, S. 1 1970 Liquid-gas coexistence equilibrium in a relaxation model. Zbl 1144.76484 Wang, Ping; Tang, Shao-Qiang 1 2005 Wave interactions in Suliciu model for dynamic phase transitions. Zbl 1144.74029 Tang, Shaoqiang; Qian, Jing; Xiao, Jun 1 2006 Accurate boundary treatment for transient Schrödinger equation under polar coordinates. Zbl 1443.35117 Bian, Lei; Ji, Songsong; Pang, Gang; Tang, Shaoqiang 1 2016 Accurate boundary treatment for Riesz space fractional diffusion equations. Zbl 1517.65080 Tang, Shaoqiang; Pang, Gang 1 2021 Artificial boundary conditions for atomic simulations of face-centered-cubic lattice. Zbl 1312.74004 Fang, Ming; Tang, Shaoqiang; Li, Zhihui; Wang, Xianming 1 2012 Artificial boundary conditions for out-of-plane motion in penta-graphene. Zbl 1390.82063 Ji, Songsong; Tang, Shaoqiang 1 2017 Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. Zbl 1527.74082 Lu, Ye; Li, Hengyang; Zhang, Lei; Park, Chanwook; Mojumder, Satyajit; Knapik, Stefan; Sang, Zhongsheng; Tang, Shaoqiang; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam 2 2023 HiDeNN-TD: reduced-order hierarchical deep learning neural networks. Zbl 1507.65285 Zhang, Lei; Lu, Ye; Tang, Shaoqiang; Liu, Wing Kam 9 2022 Hierarchical deep-learning neural networks: finite elements and beyond. Zbl 07360501 Zhang, Lei; Cheng, Lin; Li, Hengyang; Gao, Jiaying; Yu, Cheng; Domel, Reno; Yang, Yang; Tang, Shaoqiang; Liu, Wing Kam 15 2021 Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. Zbl 1473.35141 Pang, Gang; Yang, Yibo; Antoine, Xavier; Tang, Shaoqiang 6 2021 Adaptive selection of reference stiffness in virtual clustering analysis. Zbl 1506.74461 Zhu, Xi; Zhang, Lei; Tang, Shaoqiang 3 2021 Accurate boundary treatment for Riesz space fractional diffusion equations. Zbl 1517.65080 Tang, Shaoqiang; Pang, Gang 1 2021 Analytical expression of RKPM shape functions. Zbl 1467.74094 Zhang, Lei; Tang, Shaoqiang; Liu, Wing Kam 3 2020 Clustering discretization methods for generation of material performance databases in machine learning and design optimization. Zbl 1470.74073 Li, Hengyang; Kafka, Orion L.; Gao, Jiaying; Yu, Cheng; Nie, Yinghao; Zhang, Lei; Tajdari, Mahsa; Tang, Shan; Guo, Xu; Li, Gang; Tang, Shaoqiang; Cheng, Gengdong; Liu, Wing Kam 22 2019 Fast calculation of interaction tensors in clustering-based homogenization. Zbl 1467.74100 Zhang, Lei; Tang, Shaoqiang; Yu, Cheng; Zhu, Xi; Liu, Wing Kam 8 2019 A Computational Mechanics special issue on: Data-driven modeling and simulation – theory, methods, and applications. Zbl 1476.00073 3 2019 From virtual clustering analysis to self-consistent clustering analysis: a mathematical study. Zbl 1471.74079 Tang, Shaoqiang; Zhang, Lei; Liu, Wing Kam 22 2018 Enriched reproducing kernel particle method for fractional advection-diffusion equation. Zbl 1404.65070 Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam 12 2018 Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model. Zbl 1440.74033 Nicely, Clint; Tang, Shaoqiang; Qian, Dong 7 2018 Eliminating corner effects in square lattice simulation. Zbl 1470.74075 Pang, Gang; Ji, Songsong; Yang, Yibo; Tang, Shaoqiang 6 2018 High-order central difference scheme for Caputo fractional derivative. Zbl 1439.65101 Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam 12 2017 An enriched finite element method to fractional advection-diffusion equation. Zbl 1429.65171 Luan, Shengzhi; Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Wagner, Gregory J.; Liu, Wing Kam 9 2017 Exact boundary condition for semi-discretized Schrödinger equation and heat equation in a rectangular domain. Zbl 1371.65099 Pang, Gang; Yang, Yibo; Tang, Shaoqiang 7 2017 Approximate linear relations for Bessel functions. Zbl 1384.33013 Pang, Gang; Tang, Shaoqiang 5 2017 Artificial boundary conditions for out-of-plane motion in penta-graphene. Zbl 1390.82063 Ji, Songsong; Tang, Shaoqiang 1 2017 A Petrov-Galerkin finite element method for the fractional advection-diffusion equation. Zbl 1439.65090 Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Lin, Stephen; Wagner, Gregory J.; Liu, Wing Kam 16 2016 Differential operator multiplication method for fractional differential equations. Zbl 1400.34013 Tang, Shaoqiang; Ying, Yuping; Lian, Yanping; Lin, Stephen; Yang, Yibo; Wagner, Gregory J.; Liu, Wing Kam 10 2016 Almost exact boundary conditions for transient Schrödinger-Poisson system. Zbl 1349.65267 Bian, Lei; Pang, Gang; Tang, Shaoqiang; Arnold, Anton 1 2016 Accurate boundary treatment for transient Schrödinger equation under polar coordinates. Zbl 1443.35117 Bian, Lei; Ji, Songsong; Pang, Gang; Tang, Shaoqiang 1 2016 Artificial boundary conditions for Euler-Bernoulli beam equation. Zbl 1346.74106 Tang, Shao-Qiang; Karpov, Eduard 3 2014 Matching boundary conditions for lattice dynamics. Zbl 1352.74015 Wang, X.; Tang, S. 17 2013 An efficient algorithm for parameterizing HsMM with Gaussian and gamma distributions. Zbl 1250.62028 Xie, Y.; Tang, S.; Tang, C.; Huang, X. 1 2012 Artificial boundary conditions for atomic simulations of face-centered-cubic lattice. Zbl 1312.74004 Fang, Ming; Tang, Shaoqiang; Li, Zhihui; Wang, Xianming 1 2012 Time history kernel functions for square lattice. Zbl 1334.70002 Pang, Gang; Tang, Shaoqiang 9 2011 Influence of assortativity and degree-preserving rewiring on the spectra of networks. Zbl 1202.05131 Van Mieghem, P.; Wang, H.; Ge, X.; Tang, S.; Kuipers, F. A. 15 2010 Matching boundary conditions for diatomic chains. Zbl 1344.74048 Wang, Xianming; Tang, Shaoqiang 10 2010 Dynamic toughness in elastic nonlinear viscous solids. Zbl 1207.74117 Tang, S.; Guo, T. F.; Cheng, L. 1 2009 A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids. Zbl 1135.74049 Tang, Shaoqiang 17 2008 Rate effects on toughness in elastic nonlinear viscous solids. Zbl 1419.74272 Tang, S.; Guo, T. F.; Cheng, L. 7 2008 Weight of the shortest path to the first encountered peer in a peer group of size \(m\). Zbl 1137.90371 Van Mieghem, P.; Tang, S. 2 2008 Time history interfacial conditions in multiscale computations of lattice oscillations. Zbl 1162.74334 Dreher, Michael; Tang, Shaoqiang 2 2008 Mode mixity and nonlinear viscous effects on toughness of interfaces. Zbl 1169.74569 Tang, S.; Guo, T. F.; Cheng, L. 1 2008 Mathematical foundations of the immersed finite element method. Zbl 1178.74170 Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang 41 2007 A mathematical framework of the bridging scale method. Zbl 1117.74056 Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 33 2006 A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations. Zbl 1089.65110 Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 24 2006 Numerical approximation of the viscous quantum hydrodynamic model for semiconductors. Zbl 1097.82030 Jüngel, Ansgar; Tang, Shaoqiang 12 2006 Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant. Zbl 1107.35026 Duan, Renjun; Tang, Shaoqiang; Zhu, Changjiang 5 2006 Wave interactions in Suliciu model for dynamic phase transitions. Zbl 1144.74029 Tang, Shaoqiang; Qian, Jing; Xiao, Jun 1 2006 Liquid-gas coexistence equilibrium in a relaxation model. Zbl 1144.76484 Wang, Ping; Tang, Shao-Qiang 1 2005 Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems. Zbl 1031.65093 Aregba-Driollet, D.; Natalini, R.; Tang, S. 44 2004 On hybrid quantum-classical transport models. Zbl 1144.81521 Ben Abdallah, Naoufel; Tang, Shaoqiang 8 2004 Stability of Suliciu model for phase transitions. Zbl 1063.35032 Tang, Shaoqiang; Zhao, Huijiang 2 2004 Positive entropic schemes for a nonlinear fourth-order parabolic equation. Zbl 1023.65090 Carrillo, José A.; Jüngel, Ansgar; Tang, Shaoqiang 9 2003 A relaxation scheme for the hydrodynamic equations for semiconductors. Zbl 1011.82027 Jüngel, Ansgar; Tang, Shaoqiang 5 2002 Synchronization of chaos in semiconductor lasers. Zbl 1042.78511 Liu, J. M.; Chen, H. F.; Tang, S. 1 2001 Nonlinear stability and optimal decay rate for a multidimensional generalized Kuramoto-Sivashinsky system. Zbl 0957.35116 Zhao, Huijiang; Tang, Shaoqiang 5 2000 Discrete kinetic models for dynamical phase transitions. Zbl 1110.35308 Natalini, Roberto; Tang, Shaoqiang 4 2000 Nonlinear stability for dissipative nonlinear evolution equations with ellipticity. Zbl 0932.35022 Tang, Shaoqiang; Zhao, Hujiang 17 1999 Dissipative nonlinear evolution equations and chaos. Zbl 1020.37050 Hsieh, D. Y.; Tang, S. Q.; Wang, X. P.; Wu, L. X. 10 1998 Complexities arising from the study of a nonlinear evolution system with small dissipation. Zbl 0913.35094 Wang, X. P.; Tang, S. Q.; Wu, L. X.; Hsieh, D. Y. 3 1998 On hydrodynamic instabilities, chaos and phase transition. Zbl 0854.76040 Hsieh, D. Y.; Tang, S. Q.; Wang, X. P. 21 1996 Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping. Zbl 0853.35069 Hsiao, Ling; Tang, S. Q. 25 1995 Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping. Zbl 0852.35095 Hsiao, Ling; Tang, S. Q. 6 1995 Global perturbation of the Riemann problem for the system of compressible flow through porous media. Zbl 0854.35063 Tang, Shaoqiang; Xiao, Ling 1 1995 Numerical studies on 2-dimensional reaction-diffusion equations. Zbl 0807.65103 Tang, S.; Qin, S.; Weber, R. O. 5 1993 Elastoplastic analysis of two-dimensional problems with hole by boundary element method using complex variables. Zbl 0784.73083 Tang, S.; Kitching, R. 2 1993 Numerical study of Fisher’s equation by a Petrov-Galerkin finite element method. Zbl 0728.65110 Tang, S.; Weber, R. O. 28 1991 The rotation-modified Kadomtsev-Petviashvili equation: An analytical and numerical study. Zbl 0715.65094 Grimshaw, R.; Tang, S. 7 1990 Interlaminar stresses around circular cutouts in composite plates under tension. Zbl 0369.73061 Tang, S. 2 1977 Longitudinal waves in nonlinear viscoelastic rods under initial axial stress. Zbl 0223.73028 Cozzarelli, F. A.; Tang, S. 2 1970 Lateral vibration of a non-linear viscoelastic beam under initial axial tension. Zbl 0202.25304 Cozzarelli, F. A.; Wu, J. J.; Tang, S. 1 1970 The instability of a rectangular elastic solid. Zbl 0173.27203 Kerr, A. D.; Tang, S. 10 1967 Wave propagation in initially-stressed elastic solids. Zbl 0149.44104 Tang, S. 5 1967 Elastic stability of thick circular plates under three-dimensional states of stress. Zbl 0166.43707 Tang, S. 2 1967 all cited Publications top 5 cited Publications all top 5 Cited by 607 Authors 39 Tang, Shaoqiang 28 Liu, Wing Kam 14 Pang, Gang 11 Zhang, Lei 9 Ji, Songsong 9 Zhang, Jiwei 8 Dehghan Takht Fooladi, Mehdi 8 Zheng, Chunxiong 7 Li, Hengyang 6 Abbaszadeh, Mostafa 6 Dreher, Michael 6 Lu, Ye 6 Mojumder, Satyajit 6 Natalini, Roberto 6 Park, Chanwook 5 Abedian, Rooholah 5 Gao, Jiaying 5 Guo, Jiachen 5 Guo, Xu 5 Jüngel, Ansgar 5 Li, Xiantao 5 Qian, Dong 5 Ruan, Lizhi 5 Saha, Sourav 5 Tang, Shan 5 Yu, Cheng 5 Zhang, Zhiyong 5 Zhu, Changjiang 4 Antoine, Xavier 4 Arranz Carreño, Aurelio 4 Bonet, Javier 4 Cheng, Gengdong 4 Du, Qiang 4 Gil, Antonio J. 4 Kafka, Orion L. 4 Karlsen, Kenneth Hvistendahl 4 Liu, Zeliang 4 Nie, Yinghao 4 To, Albert C. 4 Yang, Hang 4 Yang, Jerry Zhijian 4 Yang, Qingcheng 4 Yang, Yibo 4 Zhu, Xi 3 Apley, Daniel W. 3 Biyikli, Emre 3 Boffi, Daniele 3 Brull, Stephane 3 Chen, Jiun-Shyan 3 Chen, Wei 3 Duan, Renjun 3 Gastaldi, Lucia 3 Hesch, Christian 3 Hsu, Ming-Chen 3 Jiang, Yan 3 Knapik, Stefan 3 Sun, Hongguang 3 Toscani, Giuseppe 3 Wagner, Gregory J. 3 Wang, Xianming 3 Yuan, Cheng 3 Zhang, Yong 2 Ahmat, Muyassar 2 Ahmed, Munshoor 2 Allegretto, Walter 2 Apelian, Diran 2 Aregba-Driollet, Denise 2 Baek, Jonghyuk 2 Banda, Mapundi Kondwani 2 Bazilevs, Yuri 2 Belytschko, Ted Bohdan 2 Bessa, Miguel A. 2 Bian, Lei 2 Bianchini, Roberta 2 Bohaienko, Vsevolod O. 2 Bostanabad, Ramin 2 Bukal, Mario 2 Chainais-Hillairet, Claire 2 Chen, Li 2 Cheng, Lin 2 Chirputkar, Shardool U. 2 Deng, Shiguang 2 Dubroca, Bruno 2 Elkhodary, Khalil I. 2 Fleming, Mark 2 Ganapathysubramanian, Baskar 2 Gosse, Laurent 2 Hajipour, Mojtaba 2 Hassan, Osama I. 2 Heltai, Luca 2 Hendy, Ahmed S. 2 Huang, Owen 2 Huang, Tsung-Hui 2 Jourdana, Clément 2 Karpov, Eduard G. 2 Klar, Axel 2 Li, Yangfan 2 Li, Zheng 2 Lian, Yanping 2 Lin, Yanping ...and 507 more Authors all top 5 Cited in 81 Serials 63 Computational Mechanics 41 Computer Methods in Applied Mechanics and Engineering 19 Journal of Computational Physics 15 International Journal for Numerical Methods in Engineering 11 Journal of Scientific Computing 10 Journal of Mathematical Analysis and Applications 8 Applied Numerical Mathematics 7 Computers & Mathematics with Applications 6 Journal of Computational and Applied Mathematics 6 Communications in Computational Physics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computers and Fluids 4 Mathematics of Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerical Methods for Partial Differential Equations 4 Engineering Analysis with Boundary Elements 3 Computer Physics Communications 3 Applied Mathematics and Computation 3 Journal of Differential Equations 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 SIAM Journal on Scientific Computing 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Journal of Hyperbolic Differential Equations 3 Acta Mechanica Sinica 2 Acta Mechanica 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 European Journal of Mechanics. A. Solids 2 International Journal of Computational Methods 2 Discrete and Continuous Dynamical Systems. Series S 2 Numerical Mathematics: Theory, Methods and Applications 2 Advances in Applied Mathematics and Mechanics 1 Modern Physics Letters B 1 International Journal of Theoretical Physics 1 Journal of Mathematical Biology 1 Physica A 1 Theoretical and Mathematical Physics 1 Transport Theory and Statistical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales Polonici Mathematici 1 Monatshefte für Mathematik 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Applied Mathematics Letters 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Monte Carlo Methods and Applications 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Acta Mathematica Sinica. English Series 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advances in Difference Equations 1 Computational & Mathematical Methods in Medicine 1 Kinetic and Related Models 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Iranian Journal of Mathematical Sciences and Informatics 1 East Asian Journal on Applied Mathematics 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 International Journal of Applied and Computational Mathematics 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive all top 5 Cited in 29 Fields 140 Numerical analysis (65-XX) 132 Mechanics of deformable solids (74-XX) 113 Partial differential equations (35-XX) 78 Fluid mechanics (76-XX) 44 Statistical mechanics, structure of matter (82-XX) 20 Computer science (68-XX) 13 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 10 Real functions (26-XX) 6 Integral equations (45-XX) 5 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year