Edit Profile (opens in new tab) Hou, Thomas Yizhao Co-Author Distance Author ID: hou.thomas-yizhao Published as: Hou, Thomas Y.; Hou, T. Y.; Hou, Thomas Yizhao; Hou, Thomas; Hou, Th. Y.; Hou, T.-Y.; Hou, T. more...less Homepage: http://users.cms.caltech.edu/~hou/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 188 Publications since 1988, including 2 Books and 13 Additional arXiv Preprints 8 Contributions as Editor Biographic References: 1 Publication Co-Authors: 116 Co-Authors with 183 Joint Publications 5,377 Co-Co-Authors all top 5 Co-Authors 13 single-authored 19 Shi, Zuoqiang 15 Efendiev, Yalchin R. 14 Lowengrub, John Samuel 9 Chen, Jiajie 7 Liu, Pengfei 7 Luo, Guo 7 Yu, Xinwei 7 Zhang, Zhiwen 6 Ceniceros, Hector D. 6 Deng, Jian 6 Huang, De 6 Li, Ruo 6 Wu, Xiaohui 5 Beale, J. Thomas 5 Chen, Yifan 5 Lei, Zhen 5 Li, Congming 5 Shelley, Michael J. 5 Wang, Shu 5 Yang, Danping 5 Zhang, Pengchuan 5 Zhang, Pingwen 4 Goodman, Jonathan B. 4 Wang, Yixuan 4 Zhang, Ziyun 4 Zhou, Hao-Min 3 Cheng, Mulin 3 Lam, Ka Chun 3 LeFloch, Philippe Gerard 3 Li, Qin 3 Li, Zhenzhen 3 Luo, Wuan 3 Ran, Hongyu 3 Rozovskii, Boris L. 3 Tavallali, Peyman 3 Wetton, Brian T. R. 3 Zhang, Shumao 2 Aarnes, Jørg E. 2 Caflisch, Russel E. 2 Chan, Tony Fan-Cheong 2 Choi, Kyudong 2 Chung, Tsz Shun Eric 2 Dostert, Paul 2 Engquist, Bjorn E. 2 Ginting, Victor 2 Graham, Ivan G. 2 Hou, Anthony 2 Hu, Gang 2 Hu, Xin 2 Kim, Hongjoong 2 Kiselev, Alexander A. 2 Liu, Chunguang 2 Liu, Wing Kam 2 Osher, Stanley Joel 2 Schaeffer, Hayden 2 Si, Helen 2 Stredie, V. G. 2 Šverák, Vladimír 2 Tadmor, Eitan 2 Tang, Shaoqiang 2 Wu, Theodore Yaotsu 2 Yan, Mike 2 Yao, Yao 2 Zhao, Hongkai 1 Alber, Mark S. 1 Avellaneda, Marco 1 Cai, Zhiqiang 1 Chacón Rebollo, Tomás 1 Chan, Raymond Hon-Fu 1 Chen, Xinfu 1 Chen, Zhiming 1 Ci, Maolin 1 Daubechies, Ingrid Chantal 1 E, Weinan 1 Ercolani, Nicholas M. 1 Ewing, Richard Edward 1 Fetecau, Razvan C. 1 Galvis, Juan 1 Glazier, James A. 1 Huang, Norden E. 1 Hwang, Fengnan 1 Jiang, Lijian 1 Jiang, Yi 1 Jin, Tianling 1 Klapper, Isaac 1 Koumoutsakos, Petros D. 1 Krasny, Robert 1 Lakkis, Omar 1 Landis, Yelena 1 Lax, Peter David 1 Li, Zhilin 1 Liang, Dong 1 Lin, Guang 1 Lions, Pierre-Louis 1 Liu, Jianguo 1 Ma, Dingjiong 1 Merriman, Barry 1 Papanicolaou, George C. 1 Park, Peter J. 1 Rosakis, Phoebus ...and 16 more Co-Authors all top 5 Serials 26 Journal of Computational Physics 16 Multiscale Modeling & Simulation 13 Communications on Pure and Applied Mathematics 9 SIAM Journal on Numerical Analysis 8 Mathematics of Computation 7 Discrete and Continuous Dynamical Systems 5 Communications in Partial Differential Equations 4 Physics of Fluids 3 Communications in Mathematical Physics 3 Methods and Applications of Analysis 3 Communications in Mathematical Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Journal of Computational Mathematics 2 Physica D 2 Journal of Nonlinear Science 2 SIAM Journal on Scientific Computing 2 Applied and Computational Harmonic Analysis 2 Foundations of Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications in Computational Physics 2 Advances in Adaptive Data Analysis 2 Science China. Mathematics 2 Information and Inference 2 Research in the Mathematical Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Advances in Mathematics 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 SIAM Journal on Scientific and Statistical Computing 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Documenta Mathematica 1 The Asian Journal of Mathematics 1 Computational Geosciences 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 International Journal of Computational Methods 1 Acta Numerica 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 Applied Mathematical Sciences 1 Lecture Notes in Computational Science and Engineering 1 Surveys and Tutorials in the Applied Mathematical Sciences 1 Series in Contemporary Applied Mathematics CAM 1 Inverse Problems and Imaging 1 ICCM Notices 1 SIAM/ASA Journal on Uncertainty Quantification 1 Annals of PDE 1 Advances in Data Science and Adaptive Analysis 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 118 Fluid mechanics (76-XX) 98 Partial differential equations (35-XX) 91 Numerical analysis (65-XX) 13 Information and communication theory, circuits (94-XX) 10 Mechanics of deformable solids (74-XX) 8 General and overarching topics; collections (00-XX) 8 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 5,571 times in 3,125 Documents Cited by ▼ Year ▼ A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065 Hou, Thomas Y.; Wu, Xiao-Hui 676 1997 Multiscale finite element methods. Theory and applications. Zbl 1163.65080 Efendiev, Yalchin; Hou, Thomas Y. 387 2009 Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617 Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y. 317 2013 Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185 Hou, Thomas Y.; Li, Congming 248 2005 A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. Zbl 0847.76048 Chang, Y. C.; Hou, T. Y.; Merriman, B.; Osher, S. 242 1996 Removing the stiffness from interfacial flows with surface tension. Zbl 0810.76095 Hou, Thomas Y.; Lowengrub, John S.; Shelley, Michael J. 224 1994 Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Zbl 0922.65071 Hou, Thomas Y.; Wu, Xiao-Hui; Cai, Zhiqiang 215 1999 A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Zbl 1017.65088 Chen, Zhiming; Hou, Thomas Y. 173 2003 Convergence of a nonconforming multiscale finite element method. Zbl 0951.65105 Efendiev, Yalchin R.; Hou, Thomas Y.; Wu, Xiao-Hui 123 2000 A hybrid method for moving interface problems with application to the Hele-Shaw flow. Zbl 0888.76067 Hou, Thomas Y.; Li, Zhilin; Osher, Stanley; Zhao, Hongkai 119 1997 A new multiscale finite element method for high-contrast elliptic interface problems. Zbl 1202.65154 Chu, C.-C.; Graham, I. G.; Hou, T.-Y. 115 2010 Why nonconservative schemes converge to wrong solutions: Error analysis. Zbl 0809.65102 Hou, Thomas Y.; Le Floch, Philippe G. 112 1994 Adaptive multiscale model reduction with generalized multiscale finite element methods. Zbl 1349.76191 Chung, Eric; Efendiev, Yalchin; Hou, Thomas Y. 108 2016 Accurate multiscale finite element methods for two-phase flow simulations. Zbl 1158.76349 Efendiev, Y.; Ginting, V.; Hou, T.; Ewing, R. 93 2006 Analysis of upscaling absolute permeability. Zbl 1162.65327 Wu, X. H.; Efendiev, Y.; Hou, T. Y. 91 2002 Computing nearly singular solutions using pseudo-spectral methods. Zbl 1310.76127 Hou, Thomas Y.; Li, Ruo 87 2007 Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105 Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor 82 2004 Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. Zbl 1095.76047 Hou, Thomas Y.; Luo, Wuan; Rozovskii, Boris; Zhou, Hao-Min 72 2006 Boundary integral methods for multicomponent fluids and multiphase materials. Zbl 1046.76029 Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J. 70 2001 The long-time motion of vortex sheets with surface tension. Zbl 1185.76545 Hou, T. Y.; Lowengrub, J. S.; Shelly, M. J. 69 1997 Growth rates for the linearized motion of fluid interfaces away from equilibrium. Zbl 0796.76041 Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S. 68 1993 An efficient dynamically adaptive mesh for potentially singular solutions. Zbl 0986.65087 Ceniceros, Hector D.; Hou, Thomas Y. 65 2001 Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015 Hou, Thomas Y.; Li, Ruo 62 2006 Preconditioning Markov chain Monte Carlo simulations using coarse-scale models. Zbl 1111.65003 Efendiev, Yalchin R.; Hou, Thomas Yizhao; Luo, Wu An 61 2006 Dynamic stability of the three-dimensional axisymmetric Navier-Stokes equations with swirl. Zbl 1138.35077 Hou, Thomas Y.; Li, Congming 56 2008 Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation. Zbl 1085.65109 Hou, Thomas Y.; Wu, Xiao-Hui; Zhang, Yu 56 2004 Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235 Luo, Guo; Hou, Thomas Y. 55 2014 Geometric properties and nonblowup of 3D incompressible Euler flow. Zbl 1142.35549 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 49 2005 Convergence of the point vortex method for the 2-D Euler equations. Zbl 0694.76013 Goodman, Jonathan; Hou, Thomas Y.; Lowengrub, John 49 1990 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 Potentially singular solutions of the 3D axisymmetric Euler equations. Zbl 1431.35115 Luo, Guo; Hou, Thomas Y. 46 2014 Multiscale domain decomposition methods for elliptic problems with high aspect ratios. Zbl 1003.65142 Aarnes, Jørg; Hou, Thomas Y. 41 2002 On the finite-time blowup of a one-dimensional model for the three-dimensional axisymmetric Euler equations. Zbl 1377.35218 Choi, Kyudong; Hou, Thomas Y.; Kiselev, Alexander; Luo, Guo; Sverak, Vladimir; Yao, Yao 37 2017 Multiscale finite element methods for porous media flows and their applications. Zbl 1112.76046 Efendiev, Yalchin R.; Hou, Thomas Yizhao 36 2007 On the stabilizing effect of convection in three-dimensional incompressible flows. Zbl 1171.35095 Hou, Thomas Y.; Lei, Zhen 36 2009 Global regularity of the 3D axi-symmetric Navier-Stokes equations with anisotropic data. Zbl 1146.76010 Hou, Thomas Y.; Lei, Zhen; Li, Congming 34 2008 A mathematical framework of the bridging scale method. Zbl 1117.74056 Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 33 2006 Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. Zbl 1158.76305 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 33 2006 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 Convergence of a boundary integral method for water waves. Zbl 0858.76046 Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John 32 1996 Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary. Zbl 1485.35071 Chen, Jiajie; Hou, Thomas Yizhao 29 2021 Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier-Stokes equations. Zbl 1422.76041 Hou, Thomas Y. 28 2009 Blowup or no blowup? the interplay between theory and numerics. Zbl 1143.76390 Hou, Thomas Y.; Li, Ruo 28 2008 Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification. Zbl 1194.76112 Dostert, P.; Efendiev, Y.; Hou, T. Y. 26 2008 An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. Zbl 1161.76048 Hou, Thomas Y.; Shi, Zuoqiang 25 2008 A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations. Zbl 1089.65110 Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 24 2006 Dispersive approximations in fluid dynamics. Zbl 0729.76065 Hou, Thomas Y.; Lax, Peter D. 24 1991 Adaptive data analysis via sparse time-frequency representation. Zbl 1234.94015 Hou, Thomas Y.; Shi, Zuoqiang 21 2011 Homogenization of linear transport equations with oscillatory vector fields. Zbl 0759.35008 Hou, Thomas Y.; Xin, Xue 21 1992 Multi-valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems. Zbl 0797.35007 Caflisch, Russel E.; Ercolani, Nicholas; Hou, Thomas Y.; Landis, Yelena 21 1993 Data-driven time-frequency analysis. Zbl 1336.94019 Hou, Thomas Y.; Shi, Zuoqiang 20 2013 On the finite time blowup of the de Gregorio model for the 3D Euler equations. Zbl 1469.35053 Chen, Jiajie; Hou, Thomas Y.; Huang, De 20 2021 Removing the stiffness of curvature in computing 3-D filaments. Zbl 0917.76063 Hou, Thomas Y.; Klapper, Isaac; Si, Helen 18 1998 Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification. Zbl 1146.76637 Dostert, P.; Efendiev, Y.; Hou, T. Y.; Luo, W. 18 2006 Optimal local multi-scale basis functions for linear elliptic equations with rough coefficients. Zbl 1333.65131 Hou, Thomas Y.; Liu, Pengfei 17 2016 Exploring the locally low dimensional structure in solving random elliptic PDEs. Zbl 1365.65015 Hou, Thomas Y.; Li, Qin; Zhang, Pengchuan 17 2017 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 Numerical study of Hele-Shaw flow with suction. Zbl 1149.76335 Ceniceros, Hector D.; Hou, Thomas Y.; Si, Helen 16 1999 Geometry related convergence results for domain decomposition algorithms. Zbl 0724.65109 Chan, Tony F.; Hou, Thomas Y.; Lions, P. L. 16 1991 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 Sparse operator compression of higher-order elliptic operators with rough coefficients. Zbl 1412.65215 Hou, Thomas Y.; Zhang, Pengchuan 16 2017 Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations. Zbl 1194.35307 Hou, Thomas Y.; Li, Ruo 15 2007 Multiscale numerical methods for singularly perturbed convection-diffusion equations. Zbl 1182.76902 Park, Peter J.; Hou, Thomas Y. 15 2004 Computational method for propagating phase boundaries. Zbl 0855.73080 Zhong, Xiaoguang; Hou, Thomas Y.; LeFloch, Philippe G. 15 1996 Convergence of a non-stiff boundary integral method for interfacial flows with surface tension. Zbl 0905.76012 Ceniceros, Héctor D.; Hou, Thomas Y. 15 1998 Convergence of a boundary integral method for 3-D water waves. Zbl 1131.76339 Hou, Thomas Y.; Zhang, Pingwen 14 2002 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 On finite time singularity and global regularity of an axisymmetric model for the 3D Euler equations. Zbl 1293.35228 Hou, Thomas Y.; Lei, Zhen; Luo, Guo; Wang, Shu; Zou, Chen 14 2014 Level set dynamics and the non-blowup of the 2D quasi-geostrophic equation. Zbl 1173.76006 Deng, J.; Hou, T. Y.; Li, R.; Yu, X. 13 2006 Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions. Zbl 0749.76046 Hou, Thomas Y.; Wetton, Brian T. R. 13 1992 Second-order convergence of a projection scheme for the incompressible Navier-Stokes equations with boundaries. Zbl 0776.76055 Hou, Thomas Y.; Wetton, Brian T. R. 13 1993 On the stability of the unsmoothed Fourier method for hyperbolic equations. Zbl 0791.65080 Goodman, Jonathan; Hou, Thomas; Tadmor, Eitan 13 1994 Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations. Zbl 1320.35269 Hou, Thomas Y.; Liu, Pengfei 13 2015 On the partial regularity of a 3D model of the Navier-Stokes equations. Zbl 1176.35130 Hou, Thomas Y.; Lei, Zhen 12 2009 Convergence of a variable blob vortex method for the Euler and Navier- Stokes equations. Zbl 0727.76034 Hou, Thomas Y. 12 1990 Convergence of the point vortex method for the 3-D Euler equations. Zbl 0856.76059 Hou, Thomas Y.; Lowengrub, John 12 1990 On singularity formation of a 3D model for incompressible Navier-Stokes equations. Zbl 1252.35219 Hou, Thomas Y.; Shi, Zuoqiang; Wang, Shu 12 2012 Numerical solutions to free boundary problems. Zbl 0831.65137 Hou, Thomas Y. 11 1995 A level-set approach to the computation of twinning and phase-transition dynamics. Zbl 0936.74052 Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe 11 1999 Dynamic generation of capillary waves. Zbl 1147.76354 Ceniceros, Hector D.; Hou, Thomas Y. 11 1999 Convergence of a point vortex method for vortex sheets. Zbl 0799.76062 Hou, Thomas Y.; Lowengrub, John; Krasny, Robert 10 1991 On global well-posedness of the Lagrangian averaged Euler equations. Zbl 1111.76006 Hou, Thomas Y.; Li, Congming 9 2006 The singular perturbation of surface tension in Hele-Shaw flows. Zbl 0991.76020 Ceniceros, Hector D.; Hou, Thomas Y. 9 2000 An adaptive fast solver for a general class of positive definite matrices via energy decomposition. Zbl 1391.65066 Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, PengChuan 9 2018 Multiscale modelling and computation of fluid flow. Zbl 1134.76386 Hou, Thomas Y. 9 2005 Well-posedness of linearized motion for 3-D water waves far from equilibrium. Zbl 0874.76014 Hou, Thomas Y.; Teng, Zhenhuan; Zhang, Pingwen 9 1996 An efficient boundary integral method for the Mullins-Sekerka problem. Zbl 0879.65092 Zhu, Jingyi; Chen, Xinfu; Hou, Thomas Y. 9 1996 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 Formation of finite-time singularities in the 3D axisymmetric Euler equations: a numerics guided study. Zbl 1427.35190 Luo, Guo; Hou, Thomas Y. 8 2019 Exponential convergence for multiscale linear elliptic PDEs via adaptive edge basis functions. Zbl 1473.65296 Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan 8 2021 Particle method approximation of oscillatory solutions to hyperbolic differential equations. Zbl 0675.65093 Engquist, Bjorn; Hou, Thomas Y. 7 1989 Spatial and temporal stability issues for interfacial flows with surface tension. Zbl 0816.76050 Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J. 7 1994 Convergence of the grid-free point vortex method for the three-dimensional Euler equations. Zbl 0850.76489 Cottet, Georges-Henri; Goodman, Jonathan; Hou, Thomas Y. 7 1991 New stability estimates for the 2-D vortex method. Zbl 0745.76061 Goodman, Jonathan; Hou, Thomas Y. 7 1991 A heterogeneous stochastic FEM framework for elliptic PDEs. Zbl 1352.65510 Hou, Thomas Y.; Liu, Pengfei 7 2015 Sparse + low-energy decomposition for viscous conservation laws. Zbl 1352.65413 Hou, Thomas Y.; Li, Qin; Schaeffer, Hayden 7 2015 A sparse decomposition of low rank symmetric positive semidefinite matrices. Zbl 1386.65127 Hou, Thomas Y.; Li, Qin; Zhang, Pengchuan 7 2017 Numerical analysis of multiscale problems. Selected papers based on the presentations at the 91st London Mathematical Society symposium, Durham, UK, July 5–15, 2010. Zbl 1234.65007 6 2012 Potential singularity of the 3D Euler equations in the interior domain. Zbl 07781557 Hou, Thomas Y. 1 2023 Potentially singular behavior of the 3D Navier-Stokes equations. Zbl 07781558 Hou, Thomas Y. 1 2023 Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations. Zbl 1504.35247 Chen, Jiajie; Hou, Thomas Y.; Huang, De 5 2022 A potential two-scale traveling wave singularity for 3D incompressible Euler equations. Zbl 1495.76017 Hou, Thomas Y.; Huang, De 3 2022 Multiscale elliptic PDE upscaling and function approximation via subsampled data. Zbl 1482.65212 Chen, Yifan; Hou, Thomas Y. 2 2022 Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary. Zbl 1485.35071 Chen, Jiajie; Hou, Thomas Yizhao 29 2021 On the finite time blowup of the de Gregorio model for the 3D Euler equations. Zbl 1469.35053 Chen, Jiajie; Hou, Thomas Y.; Huang, De 20 2021 Exponential convergence for multiscale linear elliptic PDEs via adaptive edge basis functions. Zbl 1473.65296 Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan 8 2021 Function approximation via the subsampled Poincaré inequality. Zbl 1458.35008 Chen, Yifan; Hou, Thomas Y. 2 2021 A prototype knockoff filter for group selection with FDR control. Zbl 1471.62409 Chen, Jiajie; Hou, Anthony; Hou, Thomas Y. 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 Formation of finite-time singularities in the 3D axisymmetric Euler equations: a numerics guided study. Zbl 1427.35190 Luo, Guo; Hou, Thomas Y. 8 2019 A fast hierarchically preconditioned eigensolver based on multiresolution matrix decomposition. Zbl 1455.65053 Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, Ziyun 4 2019 An adaptive fast solver for a general class of positive definite matrices via energy decomposition. Zbl 1391.65066 Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, PengChuan 9 2018 Global regularity for a family of 3D models of the axi-symmetric Navier-Stokes equations. Zbl 1393.35170 Hou, Thomas Y.; Liu, Pengfei; Wang, Fei 5 2018 Potential singularity for a family of models of the axisymmetric incompressible flow. Zbl 1405.35150 Hou, Thomas Y.; Jin, Tianling; Liu, Pengfei 5 2018 On the finite-time blowup of a one-dimensional model for the three-dimensional axisymmetric Euler equations. Zbl 1377.35218 Choi, Kyudong; Hou, Thomas Y.; Kiselev, Alexander; Luo, Guo; Sverak, Vladimir; Yao, Yao 37 2017 Exploring the locally low dimensional structure in solving random elliptic PDEs. Zbl 1365.65015 Hou, Thomas Y.; Li, Qin; Zhang, Pengchuan 17 2017 Sparse operator compression of higher-order elliptic operators with rough coefficients. Zbl 1412.65215 Hou, Thomas Y.; Zhang, Pengchuan 16 2017 A sparse decomposition of low rank symmetric positive semidefinite matrices. Zbl 1386.65127 Hou, Thomas Y.; Li, Qin; Zhang, Pengchuan 7 2017 An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients. Zbl 1380.65268 Hou, Thomas Y.; Hwang, Feng-Nan; Liu, Pengfei; Yao, Chien-Chou 4 2017 Sparse time-frequency decomposition for multiple signals with same frequencies. Zbl 1378.94007 Hou, Thomas Y.; Shi, Zuoqiang 1 2017 Adaptive multiscale model reduction with generalized multiscale finite element methods. Zbl 1349.76191 Chung, Eric; Efendiev, Yalchin; Hou, Thomas Y. 108 2016 Optimal local multi-scale basis functions for linear elliptic equations with rough coefficients. Zbl 1333.65131 Hou, Thomas Y.; Liu, Pengfei 17 2016 Extracting a shape function for a signal with intra-wave frequency modulation. Zbl 1353.94017 Hou, Thomas Y.; Shi, Zuoqiang 9 2016 An accelerated method for nonlinear elliptic PDE. Zbl 1368.65004 Schaeffer, Hayden; Hou, Thomas Y. 6 2016 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 Sparse time-frequency decomposition based on dictionary adaptation. Zbl 1353.42016 Hou, Thomas Y.; Shi, Zuoqiang 1 2016 Adaptive data analysis: theory and applications. Theme issue. Zbl 1354.00073 1 2016 Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations. Zbl 1320.35269 Hou, Thomas Y.; Liu, Pengfei 13 2015 A heterogeneous stochastic FEM framework for elliptic PDEs. Zbl 1352.65510 Hou, Thomas Y.; Liu, Pengfei 7 2015 Sparse + low-energy decomposition for viscous conservation laws. Zbl 1352.65413 Hou, Thomas Y.; Li, Qin; Schaeffer, Hayden 7 2015 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 Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235 Luo, Guo; Hou, Thomas Y. 55 2014 Potentially singular solutions of the 3D axisymmetric Euler equations. Zbl 1431.35115 Luo, Guo; Hou, Thomas Y. 46 2014 On finite time singularity and global regularity of an axisymmetric model for the 3D Euler equations. Zbl 1293.35228 Hou, Thomas Y.; Lei, Zhen; Luo, Guo; Wang, Shu; Zou, Chen 14 2014 Convergence of a data-driven time-frequency analysis method. Zbl 1336.94020 Hou, Thomas Y.; Shi, Zuoqiang; Tavallali, Peyman 9 2014 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 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 Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617 Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y. 317 2013 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 Data-driven time-frequency analysis. Zbl 1336.94019 Hou, Thomas Y.; Shi, Zuoqiang 20 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 Sparse time-frequency representation of nonlinear and nonstationary data. Zbl 1304.65282 Hou, Thomas Yizhao; Shi, Zuoqiang 3 2013 Multiscale modeling of incompressible turbulent flows. Zbl 1291.76241 Hou, T. Y.; Hu, X.; Hussain, F. 2 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 Numerical analysis of multiscale problems. Selected papers based on the presentations at the 91st London Mathematical Society symposium, Durham, UK, July 5–15, 2010. Zbl 1234.65007 6 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 A new multiscale finite element method for high-contrast elliptic interface problems. Zbl 1202.65154 Chu, C.-C.; Graham, I. G.; Hou, T.-Y. 115 2010 Mixed multiscale finite element methods on adaptive unstructured grids using limited global information. Zbl 1432.76150 Aarnes, J. E.; Efendiev, Y.; Hou, T. Y.; Jiang, L. 1 2010 Multiscale finite element methods. Theory and applications. Zbl 1163.65080 Efendiev, Yalchin; Hou, Thomas Y. 387 2009 On the stabilizing effect of convection in three-dimensional incompressible flows. Zbl 1171.35095 Hou, Thomas Y.; Lei, Zhen 36 2009 Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier-Stokes equations. Zbl 1422.76041 Hou, Thomas Y. 28 2009 On the partial regularity of a 3D model of the Navier-Stokes equations. Zbl 1176.35130 Hou, Thomas Y.; Lei, Zhen 12 2009 Stable fourth-order stream-function methods for incompressible flows with boundaries. Zbl 1212.65318 Hou, Thomas Y.; Wetton, Brian R. 5 2009 Multiscale analysis for convection-dominated transport equations. Zbl 1163.76048 Hou, Thomas Y.; Liang, Dong 3 2009 Multi-scale phenomena in complex fluids. Modeling, analysis and numerical simulation. Papers based on the Shanghai summer schools on “Analysis and numerics in modern sciences” 2004 and 2006. Zbl 1178.76059 1 2009 Dynamic stability of the three-dimensional axisymmetric Navier-Stokes equations with swirl. Zbl 1138.35077 Hou, Thomas Y.; Li, Congming 56 2008 Global regularity of the 3D axi-symmetric Navier-Stokes equations with anisotropic data. Zbl 1146.76010 Hou, Thomas Y.; Lei, Zhen; Li, Congming 34 2008 Blowup or no blowup? the interplay between theory and numerics. Zbl 1143.76390 Hou, Thomas Y.; Li, Ruo 28 2008 Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification. Zbl 1194.76112 Dostert, P.; Efendiev, Y.; Hou, T. Y. 26 2008 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 Multiscale analysis and computation for the three-dimensional incompressible Navier-Stokes equations. Zbl 1248.76037 Hou, Thomas Y.; Yang, Danping; Ran, Hongyu 5 2008 Multiscale simulations of porous media flows in flow-based coordinate system. Zbl 1155.76050 Efendiev, Yalchin R.; Hou, Thomas Yizhao; Strinopoulos, T. 5 2008 Computing nearly singular solutions using pseudo-spectral methods. Zbl 1310.76127 Hou, Thomas Y.; Li, Ruo 87 2007 Multiscale finite element methods for porous media flows and their applications. Zbl 1112.76046 Efendiev, Yalchin R.; Hou, Thomas Yizhao 36 2007 Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations. Zbl 1194.35307 Hou, Thomas Y.; Li, Ruo 15 2007 Mathematical modeling and simulation of aquatic and aerial animal locomotion. Zbl 1343.76074 Hou, T. Y.; Stredie, V. G.; Wu, T. Y. 5 2007 Accurate multiscale finite element methods for two-phase flow simulations. Zbl 1158.76349 Efendiev, Y.; Ginting, V.; Hou, T.; Ewing, R. 93 2006 Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. Zbl 1095.76047 Hou, Thomas Y.; Luo, Wuan; Rozovskii, Boris; Zhou, Hao-Min 72 2006 Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015 Hou, Thomas Y.; Li, Ruo 62 2006 Preconditioning Markov chain Monte Carlo simulations using coarse-scale models. Zbl 1111.65003 Efendiev, Yalchin R.; Hou, Thomas Yizhao; Luo, Wu An 61 2006 A mathematical framework of the bridging scale method. Zbl 1117.74056 Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 33 2006 Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. Zbl 1158.76305 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 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 Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification. Zbl 1146.76637 Dostert, P.; Efendiev, Y.; Hou, T. Y.; Luo, W. 18 2006 Level set dynamics and the non-blowup of the 2D quasi-geostrophic equation. Zbl 1173.76006 Deng, J.; Hou, T. Y.; Li, R.; Yu, X. 13 2006 On global well-posedness of the Lagrangian averaged Euler equations. Zbl 1111.76006 Hou, Thomas Y.; Li, Congming 9 2006 A 3D numerical method for studying vortex formation behind a moving plate. Zbl 1218.76034 Hou, T. Y.; Stredie, V. G.; Wu, T. Y. 4 2006 A framework for modeling subgrid effects for two-phase flows in porous media. Zbl 1127.76064 Hou, Thomas Y.; Westhead, Andrew; Yang, Danping 2 2006 Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185 Hou, Thomas Y.; Li, Congming 248 2005 Geometric properties and nonblowup of 3D incompressible Euler flow. Zbl 1142.35549 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 49 2005 Multiscale modelling and computation of fluid flow. Zbl 1134.76386 Hou, Thomas Y. 9 2005 A level set formulation for the 3D incompressible Euler equations. Zbl 1107.76011 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 4 2005 Multiscale analysis in Lagrangian formulation for the 2-D incompressible Euler equation. Zbl 1170.76309 Hou, Thomas Y.; Yang, Danping; Ran, Hongyu 1 2005 Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105 Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor 82 2004 Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation. Zbl 1085.65109 Hou, Thomas Y.; Wu, Xiao-Hui; Zhang, Yu 56 2004 Multiscale numerical methods for singularly perturbed convection-diffusion equations. Zbl 1182.76902 Park, Peter J.; Hou, Thomas Y. 15 2004 Homogenization of incompressible Euler equations. Zbl 1104.76054 Hou, Thomas Y.; Yang, Danping; Wang, Ke 2 2004 Multiscale modelling and computation of incompressible flow. Zbl 1181.76096 Hou, Thomas Y. 1 2004 Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. Zbl 1130.76411 Hou, Thomas Y.; Kim, Hongjoong; Rozovskii, Boris; Zhou, Hao-Min 1 2004 A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Zbl 1017.65088 Chen, Zhiming; Hou, Thomas Y. 173 2003 Numerical approximations to multiscale solutions in partial differential equations. Zbl 1027.65154 Hou, Thomas Y. 6 2003 Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. Zbl 1130.76410 Hou, Thomas Y.; Kim, Hongjoong; Rozovski, Boris; Zhou, Hao-Min 3 2003 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,198 Authors 111 Chung, Tsz Shun Eric 84 Hou, Thomas Yizhao 77 Efendiev, Yalchin R. 41 Leung, Wingtat 40 Vasilyeva, Maria V. 33 Chae, Dongho 33 Cui, Junzhi 33 Wu, Jiahong 29 Fu, Shubin 26 Jiang, Lijian 25 Lowengrub, John Samuel 24 Hajibeygi, Hadi 22 Galvis, Juan 21 Abdulle, Assyr 21 Li, Zhilin 19 Cordoba, Diego 19 Gancedo, Francisco 19 Li, Shuwang 19 Valentin, Frédéric 18 Zhang, Zhiwen 17 Ambrose, David M. 17 Peterseim, Daniel 16 Jenny, Patrick 16 Li, Qin 16 Pun, Saimang 16 Shelley, Michael J. 16 Xu, Xiaojing 15 Ceniceros, Hector D. 15 Lin, Guang 15 Målqvist, Axel 15 Tchelepi, Hamdi A. 14 Cao, Liqun 14 Ma, Qiang 14 Osher, Stanley Joel 14 Wheeler, Mary Fanett 14 Yang, Zhiqiang 13 Cheung, Siu Wun 13 Hoang, Viet Ha 13 Wang, Yating 12 Babuška, Ivo 12 Li, Guanglian 12 Ohlberger, Mario 12 Presho, Michael 12 Shi, Zuoqiang 12 Tang, Shaoqiang 11 Guan, Xiaofei 11 Le Bris, Claude 11 Lin, Tao 11 Protas, Bartosz 11 Spiridonov, Denis 11 Ye, Zhuan 11 Zabaras, Nicholas J. 10 Abreu, Eduardo 10 Chen, Jinru 10 Guo, Ruchi 10 Heinlein, Alexander 10 Henning, Patrick 10 Ji, Haifeng 10 Karniadakis, George Em 10 Kim, Junseok 10 LeFloch, Philippe Gerard 10 Legoll, Frédéric 10 Lei, Zhen 10 Li, Ruo 10 Lie, Knut-Andreas 10 Liu, Jianguo 10 Lu, Jianfeng 10 Scheichl, Robert 10 Sun, Yi 10 Ying, Wenjun 10 Zhang, Lei 10 Zhao, Hongkai 9 Babaee, Hessam 9 Brown, Donald L. 9 Calo, Victor Manuel 9 Cao, Chongsheng 9 Castro, Ángel 9 Deng, Weibing 9 Dong, Hao 9 Ginting, Victor 9 Gómez-Serrano, Javier 9 Kukavica, Igor 9 Liu, Chun 9 Nie, Qing 9 Owhadi, Houman 9 Siegel, Michael 9 Stepanov, Sergei P. 9 Tang, Huazhong 9 Wei, Guowei 9 Zhang, Zecheng 9 Zhao, Kun 9 Zhao, Lina 8 Berthon, Christophe 8 Caflisch, Russel E. 8 Chen, Yanping 8 Constantin, Peter 8 Elgindi, Tarek Mohamed 8 Fedkiw, Ronald P. 8 He, Wenming 8 Huang, Yunqing ...and 4,098 more Authors all top 5 Cited in 313 Serials 570 Journal of Computational Physics 173 Computer Methods in Applied Mechanics and Engineering 165 Journal of Computational and Applied Mathematics 98 Multiscale Modeling & Simulation 89 Journal of Fluid Mechanics 85 Journal of Scientific Computing 64 Computers and Fluids 60 Computational Geosciences 58 Computers & Mathematics with Applications 56 Journal of Differential Equations 55 SIAM Journal on Scientific Computing 53 Physics of Fluids 42 Archive for Rational Mechanics and Analysis 42 International Journal for Numerical Methods in Engineering 41 Applied Mathematics and Computation 40 Physica D 40 Applied Numerical Mathematics 37 Computational Mechanics 33 Mathematics of Computation 30 Journal of Mathematical Analysis and Applications 30 Numerische Mathematik 29 Communications in Mathematical Physics 29 Journal of Nonlinear Science 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Communications in Computational Physics 26 SIAM Journal on Numerical Analysis 23 Nonlinear Analysis. 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(English Edition) 5 Journal of Numerical Mathematics 5 Communications on Pure and Applied Analysis 5 Acta Numerica 5 Communications on Applied Mathematics and Computation 5 Journal of Computational Physics: X 4 Inverse Problems 4 Bulletin of Mathematical Biology 4 Applied Mathematics and Optimization 4 Japan Journal of Industrial and Applied Mathematics 4 Applications of Mathematics ...and 213 more Serials all top 5 Cited in 47 Fields 1,696 Fluid mechanics (76-XX) 1,595 Numerical analysis (65-XX) 1,431 Partial differential equations (35-XX) 422 Mechanics of deformable solids (74-XX) 126 Probability theory and stochastic processes (60-XX) 123 Geophysics (86-XX) 96 Statistical mechanics, structure of matter (82-XX) 82 Statistics (62-XX) 73 Classical thermodynamics, heat transfer (80-XX) 70 Biology and other natural sciences (92-XX) 57 Computer science (68-XX) 54 Dynamical systems and ergodic theory (37-XX) 45 Optics, electromagnetic theory (78-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 33 Information and communication theory, circuits (94-XX) 29 Ordinary differential equations (34-XX) 27 Real functions (26-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Operations research, mathematical programming (90-XX) 18 Systems theory; control (93-XX) 17 Approximations and expansions (41-XX) 17 Differential geometry (53-XX) 15 Integral equations (45-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of particles and systems (70-XX) 10 Functions of a complex variable (30-XX) 10 Quantum theory (81-XX) 8 Integral transforms, operational calculus (44-XX) 8 Astronomy and astrophysics (85-XX) 7 Potential theory (31-XX) 7 Relativity and gravitational theory (83-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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