Edit Profile (opens in new tab) Fang, Fangxin Co-Author Distance Author ID: fang.fangxin Published as: Fang, F.; Fang, Fangxin Documents Indexed: 36 Publications since 1994 Co-Authors: 51 Co-Authors with 33 Joint Publications 821 Co-Co-Authors all top 5 Co-Authors 0 single-authored 27 Pain, Christopher C. 26 Navon, Ionel Michael 9 Xiao, Dunhui 6 Buchan, Andrew G. 6 Du, Juan 6 Gorman, Gerard J. 6 Piggott, Matthew D. 5 Goddard, A. J. H. 4 Allison, P. A. 4 Xiang, Jiansheng 3 Pavlidis, Dimitrios 2 Akushevich, Igor 2 Arbeev, Konstantin G. 2 Chen, Xiao 2 Heaney, Claire E. 2 Kravchenko, Julia 2 Muggeridge, Ann H. 2 Sloan, Frank A. 2 Yashin, Anatoli I. 2 Yashkin, Arseniy P. 2 Zhu, Jiang 1 Adam, Alexandros 1 Alekseev, Aleksey K. 1 Arcucci, Rossella 1 Ardjmandpour, N. 1 Aristodemou, Elsa 1 Bistrian, Diana Alina 1 Butz, Cory J. 1 Cacuci, Dan Gabriel 1 Calloo, A. A. 1 Chen, Mingxiang 1 Chen, Zhaohe 1 Dargaville, Steven 1 Ding, Xuemei 1 Farrell, Patrick E. 1 Fu, Rui 1 Goffin, M. G. 1 Guo, Yike 1 Ham, David A. 1 Hossen, M. J. 1 Hu, Kun 1 Jackson, Matthew D. 1 Latham, John-Paul 1 Li, J. 1 Lin, Guang 1 Mottet, Laetitia 1 Peng, Yu 1 Percival, James R. 1 Player, M. A. 1 Power, P. W. 1 Qi, Li 1 Salinas, Pablo 1 Umpleby, A. P. 1 Wang, Chengyuan 1 Wang, Yuepeng 1 Wu, Pin 1 Xie, Zhihua 1 Yang, Liang all top 5 Serials 8 International Journal for Numerical Methods in Fluids 7 Journal of Computational Physics 6 Computer Methods in Applied Mechanics and Engineering 5 Computers and Fluids 3 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Engineering 1 Mathematical Biosciences 1 Theoretical Population Biology 1 Journal of Hydrodynamics. Ser. B 1 International Journal of Computational Fluid Dynamics all top 5 Fields 24 Fluid mechanics (76-XX) 23 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 5 Geophysics (86-XX) 4 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 449 times in 237 Documents Cited by ▼ Year ▼ Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method. Zbl 1349.76288 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Du, J.; Hu, G. 59 2014 Non-intrusive reduced order modelling of the Navier-Stokes equations. Zbl 1423.76287 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Muggeridge, A. 37 2015 A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. Zbl 1439.65124 Xiao, D.; Fang, F.; Pain, C. C.; Navon, I. M. 33 2017 Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair. Zbl 1297.76107 Xiao, D.; Fang, F.; Du, J.; Pain, C. C.; Navon, I. M.; Buchan, A. G.; ElSheikh, A. H.; Hu, G. 32 2013 Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation. Zbl 1455.76099 Xiao, D.; Fang, F.; Pain, C.; Hu, G. 31 2015 Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods. Zbl 1284.65132 Fang, F.; Pain, C. C.; Navon, I. M.; Elsheikh, A. H.; Du, J.; Xiao, D. 26 2013 Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: trust region POD 4D VAR data assimilation. Zbl 1319.76030 Du, Juan; Navon, I. M.; Zhu, Jiang; Fang, Fangxin; Alekseev, A. K. 24 2013 A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. Zbl 1163.86002 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. 22 2009 Non-intrusive reduced order modelling of fluid-structure interactions. Zbl 1425.74167 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M. 22 2016 Reduced-order modelling of an adaptive mesh ocean model. Zbl 1155.86004 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Allison, P. A.; Goddard, A. J. H. 20 2009 A POD reduced order model for resolving angular direction in neutron/photon transport problems. Zbl 1352.82030 Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. 20 2015 POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow. Zbl 1319.76026 Du, J.; Fang, F.; Pain, C. C.; Navon, I. M.; Zhu, J.; Ham, D. A. 20 2013 A POD reduced-order model for eigenvalue problems with application to reactor physics. Zbl 1352.82018 Buchan, A. G.; Pain, C. C.; Fang, F.; Navon, I. M. 15 2013 A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. Zbl 1378.74067 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. 14 2017 A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model. Zbl 1428.76145 Chen, X.; Navon, I. M.; Fang, F. 9 2011 A domain decomposition non-intrusive reduced order model for turbulent flows. Zbl 1411.76072 Xiao, D.; Heaney, C. E.; Fang, F.; Mottet, L.; Hu, R.; Bistrian, D. A.; Aristodemou, E.; Navon, I. M.; Pain, C. C. 9 2019 Modelling of fluid-structure interaction with multiphase viscous flows using an immersed-body method. Zbl 1349.76291 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Latham, J.-P.; Pain, C. C. 8 2016 A domain decomposition method for the non-intrusive reduced order modelling of fluid flow. Zbl 1441.76074 Xiao, D.; Fang, F.; Heaney, C. E.; Navon, I. M.; Pain, C. C. 7 2019 Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network. Zbl 1442.76040 Cheng, M.; Fang, F.; Pain, C. C.; Navon, I. M. 6 2020 Parameterised non-intrusive reduced order methods for ensemble Kalman filter data assimilation. Zbl 1410.76397 Xiao, D.; Du, J.; Fang, F.; Pain, C. C.; Li, J. 6 2018 Adjoint a posteriori error measures for anisotropic mesh optimisation. Zbl 1206.65250 Power, P. W.; Pain, C. C.; Piggott, M. D.; Fang, F.; Gorman, G. J.; Umpleby, A. P.; Goddard, A. J. H.; Navon, I. M. 5 2006 Higher-order conservative interpolation between control-volume meshes: application to advection and multiphase flow problems with dynamic mesh adaptivity. Zbl 1349.76164 Adam, A.; Pavlidis, D.; Percival, J. R.; Salinas, P.; Xie, Z.; Fang, F.; Pain, C. C.; Muggeridge, A. H.; Jackson, M. D. 5 2016 A POD goal-oriented error measure for mesh optimization. Zbl 1425.65096 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A.; Goddard, A. J. H. 4 2010 The independent set perturbation adjoint method: a new method of differentiating mesh-based fluids models. Zbl 1285.76015 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A. 3 2011 An adaptive mesh adjoint data assimilation method applied to free surface flows. Zbl 1134.86004 Fang, F.; Pain, C. C.; Piggott, M. D.; Gorman, G. J.; Goddard, A. J. H. 3 2005 Theory of partitioning of disease prevalence and mortality in observational data. Zbl 1369.92109 Akushevich, I.; Yashkin, A. P.; Kravchenko, J.; Fang, F.; Arbeev, K.; Sloan, F.; Yashin, A. I. 2 2017 Modelling of fluid-structure interaction for moderate Reynolds number flows using an immersed-body method. Zbl 1411.76073 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Pain, C. C. 2 2019 Reduced order borehole induction modelling. Zbl 07512419 Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J. 2 2014 The independent set perturbation method for efficient computation of sensitivities with applications to data assimilation and a finite element shallow water model. Zbl 1391.76322 Fang, F.; Pain, C. C.; Navon, I. M.; Cacuci, D. G.; Chen, X. 2 2013 A forecasting model of disease prevalence based on the McKendrick-von Foerster equation. Zbl 1425.92123 Akushevich, I.; Yashkin, A.; Kravchenko, J.; Fang, F.; Arbeev, K.; Sloan, F.; Yashin, A. I. 1 2019 A penalized four-dimensional variational data assimilation method for reducing forecast error related to adaptive observations. Zbl 1412.86004 Hossen, M. J.; Navon, I. M.; Fang, F. 1 2012 A non-linear non-intrusive reduced order model of fluid flow by auto-encoder and self-attention deep learning methods. Zbl 1524.76277 Fu, R.; Xiao, D.; Navon, I. M.; Fang, F.; Yang, L.; Wang, C.; Cheng, S. 1 2023 Feasibility of DEIM for retrieving the initial field via dimensionality reduction. Zbl 07500740 Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang 1 2021 A non-linear non-intrusive reduced order model of fluid flow by auto-encoder and self-attention deep learning methods. Zbl 1524.76277 Fu, R.; Xiao, D.; Navon, I. M.; Fang, F.; Yang, L.; Wang, C.; Cheng, S. 1 2023 Feasibility of DEIM for retrieving the initial field via dimensionality reduction. Zbl 07500740 Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang 1 2021 Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network. Zbl 1442.76040 Cheng, M.; Fang, F.; Pain, C. C.; Navon, I. M. 6 2020 A domain decomposition non-intrusive reduced order model for turbulent flows. Zbl 1411.76072 Xiao, D.; Heaney, C. E.; Fang, F.; Mottet, L.; Hu, R.; Bistrian, D. A.; Aristodemou, E.; Navon, I. M.; Pain, C. C. 9 2019 A domain decomposition method for the non-intrusive reduced order modelling of fluid flow. Zbl 1441.76074 Xiao, D.; Fang, F.; Heaney, C. E.; Navon, I. M.; Pain, C. C. 7 2019 Modelling of fluid-structure interaction for moderate Reynolds number flows using an immersed-body method. Zbl 1411.76073 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Pain, C. C. 2 2019 A forecasting model of disease prevalence based on the McKendrick-von Foerster equation. Zbl 1425.92123 Akushevich, I.; Yashkin, A.; Kravchenko, J.; Fang, F.; Arbeev, K.; Sloan, F.; Yashin, A. I. 1 2019 Parameterised non-intrusive reduced order methods for ensemble Kalman filter data assimilation. Zbl 1410.76397 Xiao, D.; Du, J.; Fang, F.; Pain, C. C.; Li, J. 6 2018 A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. Zbl 1439.65124 Xiao, D.; Fang, F.; Pain, C. C.; Navon, I. M. 33 2017 A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. Zbl 1378.74067 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. 14 2017 Theory of partitioning of disease prevalence and mortality in observational data. Zbl 1369.92109 Akushevich, I.; Yashkin, A. P.; Kravchenko, J.; Fang, F.; Arbeev, K.; Sloan, F.; Yashin, A. I. 2 2017 Non-intrusive reduced order modelling of fluid-structure interactions. Zbl 1425.74167 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M. 22 2016 Modelling of fluid-structure interaction with multiphase viscous flows using an immersed-body method. Zbl 1349.76291 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Latham, J.-P.; Pain, C. C. 8 2016 Higher-order conservative interpolation between control-volume meshes: application to advection and multiphase flow problems with dynamic mesh adaptivity. Zbl 1349.76164 Adam, A.; Pavlidis, D.; Percival, J. R.; Salinas, P.; Xie, Z.; Fang, F.; Pain, C. C.; Muggeridge, A. H.; Jackson, M. D. 5 2016 Non-intrusive reduced order modelling of the Navier-Stokes equations. Zbl 1423.76287 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Muggeridge, A. 37 2015 Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation. Zbl 1455.76099 Xiao, D.; Fang, F.; Pain, C.; Hu, G. 31 2015 A POD reduced order model for resolving angular direction in neutron/photon transport problems. Zbl 1352.82030 Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. 20 2015 Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method. Zbl 1349.76288 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Du, J.; Hu, G. 59 2014 Reduced order borehole induction modelling. Zbl 07512419 Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J. 2 2014 Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair. Zbl 1297.76107 Xiao, D.; Fang, F.; Du, J.; Pain, C. C.; Navon, I. M.; Buchan, A. G.; ElSheikh, A. H.; Hu, G. 32 2013 Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods. Zbl 1284.65132 Fang, F.; Pain, C. C.; Navon, I. M.; Elsheikh, A. H.; Du, J.; Xiao, D. 26 2013 Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: trust region POD 4D VAR data assimilation. Zbl 1319.76030 Du, Juan; Navon, I. M.; Zhu, Jiang; Fang, Fangxin; Alekseev, A. K. 24 2013 POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow. Zbl 1319.76026 Du, J.; Fang, F.; Pain, C. C.; Navon, I. M.; Zhu, J.; Ham, D. A. 20 2013 A POD reduced-order model for eigenvalue problems with application to reactor physics. Zbl 1352.82018 Buchan, A. G.; Pain, C. C.; Fang, F.; Navon, I. M. 15 2013 The independent set perturbation method for efficient computation of sensitivities with applications to data assimilation and a finite element shallow water model. Zbl 1391.76322 Fang, F.; Pain, C. C.; Navon, I. M.; Cacuci, D. G.; Chen, X. 2 2013 A penalized four-dimensional variational data assimilation method for reducing forecast error related to adaptive observations. Zbl 1412.86004 Hossen, M. J.; Navon, I. M.; Fang, F. 1 2012 A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model. Zbl 1428.76145 Chen, X.; Navon, I. M.; Fang, F. 9 2011 The independent set perturbation adjoint method: a new method of differentiating mesh-based fluids models. Zbl 1285.76015 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A. 3 2011 A POD goal-oriented error measure for mesh optimization. Zbl 1425.65096 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A.; Goddard, A. J. H. 4 2010 A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. Zbl 1163.86002 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. 22 2009 Reduced-order modelling of an adaptive mesh ocean model. Zbl 1155.86004 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Allison, P. A.; Goddard, A. J. H. 20 2009 Adjoint a posteriori error measures for anisotropic mesh optimisation. Zbl 1206.65250 Power, P. W.; Pain, C. C.; Piggott, M. D.; Fang, F.; Gorman, G. J.; Umpleby, A. P.; Goddard, A. J. H.; Navon, I. M. 5 2006 An adaptive mesh adjoint data assimilation method applied to free surface flows. Zbl 1134.86004 Fang, F.; Pain, C. C.; Piggott, M. D.; Gorman, G. J.; Goddard, A. J. H. 3 2005 all cited Publications top 5 cited Publications all top 5 Cited by 529 Authors 25 Navon, Ionel Michael 24 Pain, Christopher C. 22 Fang, Fangxin 16 Dehghan Takht Fooladi, Mehdi 15 Abbaszadeh, Mostafa 13 Rozza, Gianluigi 10 Stabile, Giovanni 9 Buchan, Andrew G. 9 Xiao, Dunhui 8 San, Omer 7 Iliescu, Traian 6 Choi, Youngsoo 6 Luo, Zhendong 5 Arcucci, Rossella 5 Carlberg, Kevin T. 4 Bistrian, Diana Alina 4 Borggaard, Jeff T. 4 Guo, Yike 4 Heemink, Arnold Willem 4 Hesthaven, Jan S. 4 Karatzas, Efthymios N. 4 Manzoni, Andrea 4 Piggott, Matthew D. 4 Quarteroni, Alfio M. 4 Sandu, Adrian 4 Wang, Zhu 3 Ahmed, Shady E. 3 Allison, P. A. 3 Altaf, M. Umer 3 Ballarin, Francesco 3 Chen, Xiao 3 Du, Juan 3 Farrell, Patrick E. 3 Gorman, Gerard J. 3 Heaney, Claire E. 3 Huynh, Kevin 3 Lanteri, Stéphane 3 Li, Kun 3 Li, Liang 3 Maulik, Romit 3 Ragusa, Jean C. 3 Rasheed, Adil 3 Scovazzi, Guglielmo 3 Soulaimani, Azzeddine 3 Wang, Yuepeng 3 Willcox, Karen E. 3 Xiang, Jiansheng 3 Yu, Jian 2 Akhtar, Imran 2 Allery, Cyrille 2 Alsayyari, Fahad 2 Benner, Peter 2 Bertrand, Fleurianne 2 Bluck, Michael J. 2 Boffi, Daniele 2 Chaturantabut, Saifon 2 Cheng, Yingda 2 Cheung, Siu Wun 2 Cho, Haeseong 2 Copeland, Dylan Matthew 2 Dabaghian, Pedram H. 2 Dargaville, Steven 2 Degroote, Joris 2 Dominesey, Kurt A. 2 Farhat, Charbel H. 2 Fu, Rui 2 Georgaka, Sokratia 2 Goddard, A. J. H. 2 Goffin, Mark A. 2 Guo, Mengwu 2 Halim, Abdul Hakim 2 Hoteit, Ibrahim 2 Ji, Wei 2 Kloosterman, Jan Leen 2 Lathouwers, Danny 2 Lorenzi, Stefano 2 Maday, Yvon 2 Marconi, Jacopo 2 Misaka, Takashi 2 Mohammadi-Arani, Reza 2 Mohammadi, Arash 2 Mola, Andrea 2 Mou, Changhong 2 Nouveau, Léo 2 Oulghelou, Mourad 2 Pavlidis, Dimitrios 2 Pawar, Suraj 2 Perkó, Zoltán 2 Raisee, Mehrdad 2 Smith, Paul N. 2 Sun, Xiang 2 Tiso, Paolo 2 Wu, Pin 2 Yang, Liang 2 Yano, Masayuki 2 Zahr, Matthew J. 2 Zhu, Shengfeng 2 Zokagoa, Jean Marie 1 Abdedou, Azzedine 1 Ahmed, Mansoor ...and 429 more Authors all top 5 Cited in 50 Serials 52 Computer Methods in Applied Mechanics and Engineering 49 Journal of Computational Physics 19 Computers and Fluids 10 Computers & Mathematics with Applications 8 International Journal for Numerical Methods in Engineering 7 International Journal for Numerical Methods in Fluids 7 Engineering Analysis with Boundary Elements 6 Applied Numerical Mathematics 6 International Journal of Computational Fluid Dynamics 5 Journal of Computational and Applied Mathematics 5 Physica D 4 Journal of Scientific Computing 4 Applied Mathematical Modelling 4 Advances in Computational Mathematics 4 Computational Geosciences 4 Communications in Computational Physics 3 SIAM Journal on Scientific Computing 2 Journal of Mathematical Analysis and Applications 2 Computational Mechanics 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Computational Methods 1 Physica A 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Advances in Engineering Software 1 Journal of Difference Equations and Applications 1 Abstract and Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Optimization and Engineering 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Thai Journal of Mathematics 1 Acta Numerica 1 Advances in Difference Equations 1 Journal of Industrial and Management Optimization 1 Inverse Problems in Science and Engineering 1 Mathematical Geosciences 1 GEM - International Journal on Geomathematics 1 Communications in Applied and Industrial Mathematics 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Computational and Theoretical Transport 1 Journal of Computational Physics: X all top 5 Cited in 26 Fields 166 Numerical analysis (65-XX) 124 Fluid mechanics (76-XX) 41 Partial differential equations (35-XX) 24 Mechanics of deformable solids (74-XX) 22 Computer science (68-XX) 18 Geophysics (86-XX) 12 Statistics (62-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Operations research, mathematical programming (90-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year