Edit Profile (opens in new tab) Navon, Ionel Michael Co-Author Distance Author ID: navon.ionel-michael Published as: Navon, I. M.; Navon, Ionel M.; Navon, Ionel Michael; Navon, I. Michael more...less External Links: MGP Documents Indexed: 109 Publications since 1978, including 6 Books and 5 Additional arXiv Preprints Co-Authors: 98 Co-Authors with 95 Joint Publications 1,699 Co-Co-Authors all top 5 Co-Authors 10 single-authored 26 Fang, Fangxin 21 Pain, Christopher C. 12 Alekseev, Aleksey K. 9 Luo, Zhendong 9 Xiao, Dunhui 8 Zhu, Jiang 7 Ştefănescu, Răzvan 6 Bistrian, Diana Alina 6 Buchan, Andrew G. 6 Du, Juan 5 Gorman, Gerard J. 5 Piggott, Matthew D. 4 Allison, P. A. 4 Chen, Xiao 4 Dimitriu, Gabriel 4 Goddard, A. J. H. 4 Li, Jichun 3 Cacuci, Dan Gabriel 3 Chen, Jing 3 Daescu, Dacian N. 3 Homescu, Chris 3 Le Dimet, Francois-Xavier 3 San, Omer 3 Wang, Yuepeng 2 Akella, Srinivas 2 Arcucci, Rossella 2 Cao, Yanhua 2 Fu, Rui 2 Heaney, Claire E. 2 Hossen, M. J. 2 Ionescu-Bujor, Mihaela 2 Jardak, M. 2 Li, Zhijin 2 Lin, Guang 2 Neta, Beny 2 Riphagen, H. A. 2 Sandu, Adrian 2 Wang, Ruiwen 2 Xiang, Jiansheng 1 Ahmed, Shady E. 1 Al-Haik, M. S. 1 An, Jing 1 Ardjmandpour, N. 1 Aristodemou, Elsa 1 Ashwin Renganathan, S. 1 Calloo, A. A. 1 Castaings, W. 1 Chen, Mingxiang 1 Cheng, Yue 1 Copeland, Graham J. M. 1 Dargaville, Steven 1 de Villiers, Rosalie 1 Di, Zhenhua 1 Ding, Xuemei 1 Fairweather, Graeme 1 Farrell, Patrick E. 1 Fu, Jinlong 1 Fuelberg, Henry 1 Garmestani, Hamid 1 Gejadze, Igor Yu. 1 Geng, Jian 1 Giraldo, Francis X. 1 Goffin, M. G. 1 Guan, Yuanhong 1 Guo, Yike 1 Ham, David A. 1 Holter, William H. 1 Hu, Kun 1 Hussaini, M. Yousuff 1 Li, Chenfeng 1 Li, Hong 1 Marchand, Max 1 Mottet, Laetitia 1 Muggeridge, Ann H. 1 Oppe, Thomas C. 1 Pawar, Suraj 1 Phua, Paul Kang-Hoh 1 Player, M. A. 1 Power, P. W. 1 Ramamurthy, M. 1 Rao, Vishwas 1 Rasheed, Adil 1 Schlick, Tamar 1 Steppeler, Juergen 1 Steward, J. L. 1 Sun, Ping 1 Umpleby, A. P. 1 Wang, Aiwen 1 Wang, Chengyuan 1 Wang, Zhi 1 Wu, Pin 1 Xie, Zhenghui 1 Yang, Liang 1 Yang, Xiaozhong 1 Zelentsov, M. E. 1 Zhao, Wenju 1 Zhu, Chuanhua 1 Zupanski, Milija all top 5 Serials 21 International Journal for Numerical Methods in Fluids 16 Journal of Computational Physics 13 Computer Methods in Applied Mechanics and Engineering 10 Computers & Mathematics with Applications 6 International Journal of Computational Fluid Dynamics 4 Computers and Fluids 3 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Advances in Engineering Software 1 Systems & Control Letters 1 Communications in Applied Numerical Methods 1 Applied Mathematical Modelling 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Optimization Methods & Software 1 Quantitative Finance 1 Journal of Industrial and Management Optimization 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 GEM - International Journal on Geomathematics 1 Contributions to Atmospheric Physics all top 5 Fields 67 Numerical analysis (65-XX) 65 Fluid mechanics (76-XX) 20 Partial differential equations (35-XX) 18 Geophysics (86-XX) 8 Operations research, mathematical programming (90-XX) 7 Computer science (68-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 4 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 1,251 times in 689 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 A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition. Zbl 1370.86002 Cao, Yanhua; Zhu, Jiang; Navon, I. M.; Luo, Zhendong 58 2007 POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model. Zbl 1286.76106 Ştefănescu, R.; Navon, I. M. 51 2013 Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type. Zbl 0907.65109 Li, J.; Navon, I. M. 50 1998 Mixed finite element formulation and error estimates based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations. Zbl 1391.76351 Luo, Zhendong; Chen, Jing; Navon, I. M.; Yang, Xiaozhong 49 2009 An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model. Zbl 1205.86007 Luo, Zhendong; Chen, Jing; Zhu, Jiang; Wang, Ruiwen; Navon, I. M. 44 2007 Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model. Zbl 1173.76348 Luo, Zhendong; Zhu, Jiang; Wang, Ruiwen; Navon, I. M. 39 2007 Reduced-order modeling of the upper tropical Pacific ocean model using proper orthogonal decomposition. Zbl 1161.86002 Cao, Yanhua; Zhu, Jiang; Luo, Zhendong; Navon, I. M. 37 2006 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 Suppression of vortex shedding for flow around a circular cylinder using optimal control. Zbl 1007.76019 Homescu, C.; Navon, I. M.; Li, Z. 36 2002 An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems. Zbl 1161.76032 Luo, Zhendong; Chen, Jing; Navon, I. M.; Zhu, Jiang 36 2009 POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535 Ştefănescu, R.; Sandu, A.; Navon, I. M. 35 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 Efficiency of a POD-based reduced second-order adjoint model in 4D-var data assimilation. Zbl 1370.76122 Daescu, D. N.; Navon, I. M. 30 2007 Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type. Zbl 0936.65134 Li, Jichun; Navon, I. M. 26 1998 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 Optimal control of cylinder wakes via suction and blowing. Zbl 1151.76443 Li, Zhijin; Navon, I. M.; Hussaini, M. Y.; Le Dimet, F.-X. 24 2003 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 Sensitivity and uncertainty analysis. Vol. 2: Applications to large-scale systems. Zbl 1083.60002 Cacuci, Dan G.; Ionescu-Bujor, Mihaela; Navon, Ionel Michael 23 2005 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 Numerical experience with limited-memory quasi-Newton and truncated Newton methods. Zbl 0784.90086 Zou, X.; Navon, I. M.; Berger, M.; Phua, K. H.; Schlick, T.; Le Dimet, F. X. 21 1993 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 Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements. Zbl 0946.65113 Li, Jichun; Navon, I. M. 18 1999 An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184 Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M. 17 2011 Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems. Zbl 1189.90221 Alekseev, A. K.; Navon, I. M.; Steward, J. L. 17 2009 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 POD-DEIM approach on dimension reduction of a multi-species host-parasitoid system. Zbl 1515.35131 Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M. 15 2015 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 truncated Newton optimization algorithm in meteorology applications with analytic Hessian/vector products. Zbl 0831.90124 Wang, Zhi; Navon, I. M.; Zou, X.; Le Dimet, F. X. 13 1995 The estimation of functional uncertainty using polynomial chaos and adjoint equations. Zbl 1226.65075 Alekseev, A. K.; Navon, I. M.; Zelentsov, M. E. 12 2011 Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation. Zbl 1425.76242 Jardak, M.; Navon, I. M.; Zupanski, M. 11 2010 Finite-element simulation of the shallow-water equations model on a limited-area domain. Zbl 0438.76017 Navon, I. M. 11 1979 PENT: A periodic pentadiagonal systems solver. Zbl 0609.65015 Navon, I. M. 10 1987 Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems. Zbl 1348.92122 Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M. 10 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 Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060 Neta, B.; Giraldo, F. X.; Navon, I. M. 9 1997 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 An implicit compact fourth-order algorithm for solving the shallow-water equations in conservation-law form. Zbl 0434.65079 Navon, I. M.; Riphagen, H. A. 8 1979 A dual-weighted trust-region adaptive POD 4-D var applied to a finite-volume shallow water equations model on the sphere. Zbl 1426.76347 Chen, X.; Akella, S.; Navon, I. M. 8 2012 A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems. Zbl 1490.65171 Luo, Zhendong; Li, Hong; Sun, Ping; An, Jing; Navon, Ionel Michael 8 2013 Parallel block preconditioning techniques for the numerical simulation of the shallow water flow using finite element methods. Zbl 0840.76031 Cai, Y.; Navon, I. M. 7 1995 Mesh refinement strategies for solving singularly perturbed reaction-diffusion problems. Zbl 0984.65125 Castaings, W.; Navon, I. M. 7 2001 An optimizing implicit difference scheme based on proper orthogonal decomposition for the two-dimensional unsaturated soil water flow equation. Zbl 1426.76466 Di, Zhenhua; Luo, Zhendong; Xie, Zhenghui; Wang, Aiwen; Navon, I. M. 7 2012 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 An analysis of a hybrid optimization method for variational data assimilation. Zbl 1161.76449 Daescu, Dacian; Navon, I. M. 6 2003 Domain decomposition and parallel processing of a finite element model of the shallow water equations. Zbl 0784.76052 Navon, I. M.; Cai, Y. 6 1993 Application of POD-DEIM approach for dimension reduction of a diffusive predator-prey system with Allee effect. Zbl 1448.92187 Dimitriu, Gabriel; Navon, Ionel M.; Ştefănescu, Răzvan 6 2014 Computational methods for data evaluation and assimilation. Zbl 1283.68014 Cacuci, Dan Gabriel; Navon, Ionel Michael; Ionescu-Bujor, Mihaela 6 2014 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 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 Open boundary control problem for Navier-Stokes equations including a free surface: data assimilation. Zbl 1118.49017 Gejadze, I. Yu.; Copeland, G. J. M.; Navon, I. M. 5 2006 On a posteriori pointwise error estimation using adjoint temperature and Lagrange remainder. Zbl 1102.80005 Alekseev, A. K.; Navon, I. M. 5 2005 A posteriori pointwise error estimation for compressible fluid flows using adjoint parameters and Lagrange remainder. Zbl 1063.76067 Alekseev, A. K.; Navon, I. M. 5 2005 Analysis of the Turkel-Zwas scheme for the shallow-water equations. Zbl 0669.76037 Neta, B.; Navon, I. M. 4 1989 A Numerov-Galerkin technique applied to a finite-element shallow-water equations model with enforced conservation of integral invariants and selective lumping. Zbl 0526.76032 Navon, I. M. 4 1983 A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem. Zbl 0937.65114 Li, Jichun; Navon, I. M. 4 1999 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 Truncated-Newton training algorithm for neurocomputational viscoplastic model. Zbl 1119.74622 Al-Haik, M. S.; Garmestani, H.; Navon, I. M. 4 2003 Numerical and theoretical considerations for sensitivity calculation of discontinuous flow. Zbl 1157.93361 Homescu, Chris; Navon, I. M. 4 2003 A linear ADI method for the shallow-water equations. Zbl 0454.76032 Fairweather, G.; Navon, I. M. 4 1980 Optimal control of flow with discontinuities. Zbl 1061.76076 Homescu, Chris; Navon, I. M. 4 2003 Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes. Zbl 07644844 Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M. 4 2023 Implementation of a posteriori methods for enforcing conservation of potential enstrophy and mass in discretized shallow-water equations models. Zbl 0492.76023 Navon, I. M. 3 1981 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 Effect of random perturbations on adaptive observation techniques. Zbl 1426.76632 Hossen, M. J.; Navon, I. M.; Daescu, D. N. 3 2012 A posteriori error estimation by postprocessor independent of method of flow field calculation. Zbl 1103.76037 Alekseev, A. K.; Navon, I. M. 3 2006 Non-parametric calibration of the local volatility surface for European options using a second-order Tikhonov regularization. Zbl 1294.91187 Geng, Jian; Navon, I. Michael; Chen, Xiao 3 2014 Efficiency of randomised dynamic mode decomposition for reduced order modelling. Zbl 07474458 Bistrian, D. A.; Navon, I. M. 3 2018 Parallelizable PCG methods for the Cray Y-MP and TMC CM-2. Zbl 0847.65020 Oppe, Thomas C.; Holter, William H.; Navon, I. M. 2 1994 A comparative study of the performance of high-resolution advection schemes in the context of data assimilation. Zbl 1124.76036 Akella, S.; Navon, I. M. 2 2006 Finite-element schemes for extended integrations of atmospheric models. Zbl 0696.76031 Steppeler, J.; Navon, I. M.; Lu, H.-I. 2 1990 Adjoint correction and bounding of error using Lagrange form of truncation term. Zbl 1083.65087 Alekseev, A. K.; Navon, I. M. 2 2005 Numerical methods for the solution of the shallow-water equations in meteorology. Zbl 0443.76014 Navon, I. M. 2 1979 A nonintrusive hybrid neural-physics modeling of incomplete dynamical systems: Lorenz equations. Zbl 1486.37045 Pawar, Suraj; San, Omer; Rasheed, Adil; Navon, Ionel M. 2 2021 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 Parameter identification techniques applied to an environmental pollution model. Zbl 1412.65043 Wang, Yuepeng; Cheng, Yue; Navon, I. Michael; Guan, Yuanhong 2 2018 Vectorization of conjugate-gradient methods for large-scale minimization in meteorology. Zbl 0681.90065 Navon, I. M.; Phua, P. K. H.; Ramamurthy, M. 1 1990 Combined penalty-multiplier nonlinearly constrained optimization methods for enforcing conservation of integral invariants in shallow-water equations models. Zbl 0509.76021 Navon, I. M.; de Villiers, R. 1 1982 Spectral stochastic two-scale convergence method for parabolic PDEs. Zbl 1217.74098 Jardak, M.; Navon, I. M. 1 2011 Criteria of optimality for sensors’ location based on adjoint transformation of observation data interpolation error. Zbl 1196.80004 Alekseev, A. K.; Navon, I. M. 1 2010 Estimation of goal functional error arising from iterative solution of Euler equations. Zbl 1184.76765 Alekseev, A. K.; Navon, I. M. 1 2008 Calculation of uncertainty propagation using adjoint equations. Zbl 1043.76515 Alekseev, A. K.; Navon, I. M. 1 2003 FESW - a finite-element Fortran IV program for solving the shallow-water equations. Zbl 0412.65055 Navon, I. M.; Muller, U. 1 1979 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 CAMERA: a method for cost-aware, adaptive, multifidelity, efficient reliability analysis. Zbl 07620378 Ashwin Renganathan, S.; Rao, Vishwas; Navon, Ionel M. 1 2023 Application of deterministic and randomized dynamic mode decomposition in epidemiology and fluid dynamics. Zbl 07621964 Bistrian, Diana A.; Dimitriu, Gabriel; Navon, Ionel M. 1 2020 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 Numerical control of two-dimensional shock waves in dual solution domain by instant temperature disturbances. Zbl 1430.76356 Alekseev, A. K.; Navon, I. M. 1 2013 Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes. Zbl 07644844 Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M. 4 2023 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 CAMERA: a method for cost-aware, adaptive, multifidelity, efficient reliability analysis. Zbl 07620378 Ashwin Renganathan, S.; Rao, Vishwas; Navon, Ionel M. 1 2023 A nonintrusive hybrid neural-physics modeling of incomplete dynamical systems: Lorenz equations. Zbl 1486.37045 Pawar, Suraj; San, Omer; Rasheed, Adil; Navon, Ionel M. 2 2021 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 Application of deterministic and randomized dynamic mode decomposition in epidemiology and fluid dynamics. Zbl 07621964 Bistrian, Diana A.; Dimitriu, Gabriel; Navon, Ionel M. 1 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 Efficiency of randomised dynamic mode decomposition for reduced order modelling. Zbl 07474458 Bistrian, D. A.; Navon, I. M. 3 2018 Parameter identification techniques applied to an environmental pollution model. Zbl 1412.65043 Wang, Yuepeng; Cheng, Yue; Navon, I. Michael; Guan, Yuanhong 2 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 Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems. Zbl 1348.92122 Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M. 10 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 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 POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535 Ştefănescu, R.; Sandu, A.; Navon, I. M. 35 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 POD-DEIM approach on dimension reduction of a multi-species host-parasitoid system. Zbl 1515.35131 Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M. 15 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 Application of POD-DEIM approach for dimension reduction of a diffusive predator-prey system with Allee effect. Zbl 1448.92187 Dimitriu, Gabriel; Navon, Ionel M.; Ştefănescu, Răzvan 6 2014 Computational methods for data evaluation and assimilation. Zbl 1283.68014 Cacuci, Dan Gabriel; Navon, Ionel Michael; Ionescu-Bujor, Mihaela 6 2014 Non-parametric calibration of the local volatility surface for European options using a second-order Tikhonov regularization. Zbl 1294.91187 Geng, Jian; Navon, I. Michael; Chen, Xiao 3 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 POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model. Zbl 1286.76106 Ştefănescu, R.; Navon, I. M. 51 2013 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 A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems. Zbl 1490.65171 Luo, Zhendong; Li, Hong; Sun, Ping; An, Jing; Navon, Ionel Michael 8 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 Numerical control of two-dimensional shock waves in dual solution domain by instant temperature disturbances. Zbl 1430.76356 Alekseev, A. K.; Navon, I. M. 1 2013 A dual-weighted trust-region adaptive POD 4-D var applied to a finite-volume shallow water equations model on the sphere. Zbl 1426.76347 Chen, X.; Akella, S.; Navon, I. M. 8 2012 An optimizing implicit difference scheme based on proper orthogonal decomposition for the two-dimensional unsaturated soil water flow equation. Zbl 1426.76466 Di, Zhenhua; Luo, Zhendong; Xie, Zhenghui; Wang, Aiwen; Navon, I. M. 7 2012 Effect of random perturbations on adaptive observation techniques. Zbl 1426.76632 Hossen, M. J.; Navon, I. M.; Daescu, D. N. 3 2012 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 An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184 Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M. 17 2011 The estimation of functional uncertainty using polynomial chaos and adjoint equations. Zbl 1226.65075 Alekseev, A. K.; Navon, I. M.; Zelentsov, M. E. 12 2011 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 Spectral stochastic two-scale convergence method for parabolic PDEs. Zbl 1217.74098 Jardak, M.; Navon, I. M. 1 2011 Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation. Zbl 1425.76242 Jardak, M.; Navon, I. M.; Zupanski, M. 11 2010 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 Criteria of optimality for sensors’ location based on adjoint transformation of observation data interpolation error. Zbl 1196.80004 Alekseev, A. K.; Navon, I. M. 1 2010 Mixed finite element formulation and error estimates based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations. Zbl 1391.76351 Luo, Zhendong; Chen, Jing; Navon, I. M.; Yang, Xiaozhong 49 2009 An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems. Zbl 1161.76032 Luo, Zhendong; Chen, Jing; Navon, I. M.; Zhu, Jiang 36 2009 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 Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems. Zbl 1189.90221 Alekseev, A. K.; Navon, I. M.; Steward, J. L. 17 2009 Estimation of goal functional error arising from iterative solution of Euler equations. Zbl 1184.76765 Alekseev, A. K.; Navon, I. M. 1 2008 A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition. Zbl 1370.86002 Cao, Yanhua; Zhu, Jiang; Navon, I. M.; Luo, Zhendong 58 2007 An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model. Zbl 1205.86007 Luo, Zhendong; Chen, Jing; Zhu, Jiang; Wang, Ruiwen; Navon, I. M. 44 2007 Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model. Zbl 1173.76348 Luo, Zhendong; Zhu, Jiang; Wang, Ruiwen; Navon, I. M. 39 2007 Efficiency of a POD-based reduced second-order adjoint model in 4D-var data assimilation. Zbl 1370.76122 Daescu, D. N.; Navon, I. M. 30 2007 Reduced-order modeling of the upper tropical Pacific ocean model using proper orthogonal decomposition. Zbl 1161.86002 Cao, Yanhua; Zhu, Jiang; Luo, Zhendong; Navon, I. M. 37 2006 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 Open boundary control problem for Navier-Stokes equations including a free surface: data assimilation. Zbl 1118.49017 Gejadze, I. Yu.; Copeland, G. J. M.; Navon, I. M. 5 2006 A posteriori error estimation by postprocessor independent of method of flow field calculation. Zbl 1103.76037 Alekseev, A. K.; Navon, I. M. 3 2006 A comparative study of the performance of high-resolution advection schemes in the context of data assimilation. Zbl 1124.76036 Akella, S.; Navon, I. M. 2 2006 Sensitivity and uncertainty analysis. Vol. 2: Applications to large-scale systems. Zbl 1083.60002 Cacuci, Dan G.; Ionescu-Bujor, Mihaela; Navon, Ionel Michael 23 2005 On a posteriori pointwise error estimation using adjoint temperature and Lagrange remainder. Zbl 1102.80005 Alekseev, A. K.; Navon, I. M. 5 2005 A posteriori pointwise error estimation for compressible fluid flows using adjoint parameters and Lagrange remainder. Zbl 1063.76067 Alekseev, A. K.; Navon, I. M. 5 2005 Adjoint correction and bounding of error using Lagrange form of truncation term. Zbl 1083.65087 Alekseev, A. K.; Navon, I. M. 2 2005 Optimal control of cylinder wakes via suction and blowing. Zbl 1151.76443 Li, Zhijin; Navon, I. M.; Hussaini, M. Y.; Le Dimet, F.-X. 24 2003 An analysis of a hybrid optimization method for variational data assimilation. Zbl 1161.76449 Daescu, Dacian; Navon, I. M. 6 2003 Truncated-Newton training algorithm for neurocomputational viscoplastic model. Zbl 1119.74622 Al-Haik, M. S.; Garmestani, H.; Navon, I. M. 4 2003 Numerical and theoretical considerations for sensitivity calculation of discontinuous flow. Zbl 1157.93361 Homescu, Chris; Navon, I. M. 4 2003 Optimal control of flow with discontinuities. Zbl 1061.76076 Homescu, Chris; Navon, I. M. 4 2003 Calculation of uncertainty propagation using adjoint equations. Zbl 1043.76515 Alekseev, A. K.; Navon, I. M. 1 2003 Suppression of vortex shedding for flow around a circular cylinder using optimal control. Zbl 1007.76019 Homescu, C.; Navon, I. M.; Li, Z. 36 2002 Mesh refinement strategies for solving singularly perturbed reaction-diffusion problems. Zbl 0984.65125 Castaings, W.; Navon, I. M. 7 2001 Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements. Zbl 0946.65113 Li, Jichun; Navon, I. M. 18 1999 A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem. Zbl 0937.65114 Li, Jichun; Navon, I. M. 4 1999 Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type. Zbl 0907.65109 Li, J.; Navon, I. M. 50 1998 Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type. Zbl 0936.65134 Li, Jichun; Navon, I. M. 26 1998 Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060 Neta, B.; Giraldo, F. X.; Navon, I. M. 9 1997 A truncated Newton optimization algorithm in meteorology applications with analytic Hessian/vector products. Zbl 0831.90124 Wang, Zhi; Navon, I. M.; Zou, X.; Le Dimet, F. X. 13 1995 Parallel block preconditioning techniques for the numerical simulation of the shallow water flow using finite element methods. Zbl 0840.76031 Cai, Y.; Navon, I. M. 7 1995 Parallelizable PCG methods for the Cray Y-MP and TMC CM-2. Zbl 0847.65020 Oppe, Thomas C.; Holter, William H.; Navon, I. M. 2 1994 Numerical experience with limited-memory quasi-Newton and truncated Newton methods. Zbl 0784.90086 Zou, X.; Navon, I. M.; Berger, M.; Phua, K. H.; Schlick, T.; Le Dimet, F. X. 21 1993 Domain decomposition and parallel processing of a finite element model of the shallow water equations. Zbl 0784.76052 Navon, I. M.; Cai, Y. 6 1993 Finite-element schemes for extended integrations of atmospheric models. Zbl 0696.76031 Steppeler, J.; Navon, I. M.; Lu, H.-I. 2 1990 Vectorization of conjugate-gradient methods for large-scale minimization in meteorology. Zbl 0681.90065 Navon, I. M.; Phua, P. K. H.; Ramamurthy, M. 1 1990 Analysis of the Turkel-Zwas scheme for the shallow-water equations. Zbl 0669.76037 Neta, B.; Navon, I. M. 4 1989 PENT: A periodic pentadiagonal systems solver. Zbl 0609.65015 Navon, I. M. 10 1987 A Numerov-Galerkin technique applied to a finite-element shallow-water equations model with enforced conservation of integral invariants and selective lumping. Zbl 0526.76032 Navon, I. M. 4 1983 Combined penalty-multiplier nonlinearly constrained optimization methods for enforcing conservation of integral invariants in shallow-water equations models. Zbl 0509.76021 Navon, I. M.; de Villiers, R. 1 1982 Implementation of a posteriori methods for enforcing conservation of potential enstrophy and mass in discretized shallow-water equations models. Zbl 0492.76023 Navon, I. M. 3 1981 A linear ADI method for the shallow-water equations. Zbl 0454.76032 Fairweather, G.; Navon, I. M. 4 1980 Finite-element simulation of the shallow-water equations model on a limited-area domain. Zbl 0438.76017 Navon, I. M. 11 1979 An implicit compact fourth-order algorithm for solving the shallow-water equations in conservation-law form. Zbl 0434.65079 Navon, I. M.; Riphagen, H. A. 8 1979 Numerical methods for the solution of the shallow-water equations in meteorology. Zbl 0443.76014 Navon, I. M. 2 1979 FESW - a finite-element Fortran IV program for solving the shallow-water equations. Zbl 0412.65055 Navon, I. M.; Muller, U. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,191 Authors 57 Navon, Ionel Michael 54 Luo, Zhendong 26 Pain, Christopher C. 24 Fang, Fangxin 18 Iliescu, Traian 17 Dehghan Takht Fooladi, Mehdi 16 Abbaszadeh, Mostafa 14 Rozza, Gianluigi 12 Li, Jichun 12 Teng, Fei 11 Alekseev, Aleksey K. 11 Sandu, Adrian 10 Stabile, Giovanni 10 Xiao, Dunhui 9 Buchan, Andrew G. 9 Li, Hong 9 Protas, Bartosz 9 San, Omer 9 Si, Zhiyong 9 Wang, Zhu 8 Zhou, Yanjie 7 Chen, Jing 7 Choi, Youngsoo 6 Arcucci, Rossella 6 Chaturantabut, Saifon 6 Cordier, Laurent 6 He, Yinnian 6 Piggott, Matthew D. 6 Rebholz, Leo G. 6 Rui, Hongxing 6 Singler, John R. 6 Sun, Ping 6 Wang, Yuepeng 6 Willcox, Karen E. 6 Xie, Zhenghui 5 Ahmed, Shady E. 5 Ballarin, Francesco 5 Bergmann, Michel 5 Carlberg, Kevin T. 5 Du, Juan 5 Gejadze, Igor Yu. 5 Giannakoglou, Kyriakos C. 5 Giraldo, Francis X. 5 Gorman, Gerard J. 5 Hesthaven, Jan S. 5 Hou, Yanren 5 Huang, Pengzhan 5 Jia, Jiteng 5 Maday, Yvon 5 Manzoni, Andrea 5 Quarteroni, Alfio M. 5 Song, Junpeng 5 Zhang, Yunzhang 4 Allison, P. A. 4 Bistrian, Diana Alina 4 Borggaard, Jeff T. 4 Chen, Shaochun 4 Daescu, Dacian N. 4 Duressa, Gemechis File 4 Feng, Xinlong 4 Gao, Junqiang 4 Goddard, A. J. H. 4 Heemink, Arnold Willem 4 Karatzas, Efthymios N. 4 Kawahara, Mutsuto 4 Li, Huanrong 4 Liu, Xiaowei 4 Rasheed, Adil 4 Rubino, Samuele 4 Soulaimani, Azzeddine 4 Tu, Xuemin 4 Xia, Hong 4 Xie, Xuping 4 Zhang, Jicai 4 Zhang, Jin 4 Zhu, Jiang 3 Allery, Cyrille 3 Altaf, M. Umer 3 Brancher, Jean-Pierre 3 Cacuci, Dan Gabriel 3 Chen, Haibo 3 Chen, Xiao 3 D’Amore, Luisa 3 Di, Zhenhua 3 Dimitriu, Gabriel 3 Durlofsky, Louis J. 3 Farthing, Matthew W. 3 Guo, Yike 3 Han, Houde 3 Heaney, Claire E. 3 Hoteit, Ibrahim 3 Huang, Zhongyi 3 Huynh, Kevin 3 Jiang, Yaolin 3 Kloosterman, Jan Leen 3 Koc, Birgul 3 Lanteri, Stéphane 3 Lathouwers, Danny 3 Le Dimet, Francois-Xavier 3 Li, Kun ...and 1,091 more Authors all top 5 Cited in 134 Serials 91 Journal of Computational Physics 85 Computer Methods in Applied Mechanics and Engineering 53 Computers & Mathematics with Applications 35 Computers and Fluids 23 Journal of Computational and Applied Mathematics 18 International Journal for Numerical Methods in Fluids 17 Applied Mathematics and Computation 16 International Journal for Numerical Methods in Engineering 15 Applied Numerical Mathematics 15 Journal of Scientific Computing 15 International Journal of Computational Fluid Dynamics 11 Journal of Fluid Mechanics 9 Journal of Mathematical Analysis and Applications 9 Applied Mathematical Modelling 9 SIAM Journal on Scientific Computing 8 Mathematics and Computers in Simulation 8 Advances in Computational Mathematics 8 Engineering Analysis with Boundary Elements 7 Computational Geosciences 7 Results in Applied Mathematics 6 Physica D 6 Numerical Methods for Partial Differential Equations 6 Numerical Algorithms 6 Mathematical Problems in Engineering 6 Discrete and Continuous Dynamical Systems. 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(English Edition) 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Heat and Mass Transfer 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Molecular Simulation 1 Theoretical and Computational Fluid Dynamics 1 Theoretical Population Biology 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Optimization 1 Journal of Complexity 1 Constructive Approximation 1 SIAM Journal on Matrix Analysis and Applications 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of High Speed Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Statistical Computation and Simulation 1 SIAM Review 1 Advances in Engineering Software 1 Tatra Mountains Mathematical Publications 1 Applied Mathematics. Series B (English Edition) 1 Russian Journal of Mathematical Physics 1 Numerical Linear Algebra with Applications 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Wuhan University Journal of Natural Sciences (WUJNS) ...and 34 more Serials all top 5 Cited in 32 Fields 456 Numerical analysis (65-XX) 300 Fluid mechanics (76-XX) 189 Partial differential equations (35-XX) 56 Geophysics (86-XX) 47 Mechanics of deformable solids (74-XX) 36 Systems theory; control (93-XX) 34 Statistics (62-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 31 Biology and other natural sciences (92-XX) 29 Operations research, mathematical programming (90-XX) 28 Classical thermodynamics, heat transfer (80-XX) 27 Computer science (68-XX) 18 Probability theory and stochastic processes (60-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Ordinary differential equations (34-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Optics, electromagnetic theory (78-XX) 5 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 4 Real functions (26-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year