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Navon, Ionel Michael

Author ID: navon.ionel-michael Recent zbMATH articles by "Navon, Ionel Michael"
Published as: Navon, I. M.; Navon, Ionel M.; Navon, Ionel Michael; Navon, I. Michael
External Links: MGP
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
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 Neta, Beny
2 Riphagen, H. A.
2 Sandu, Adrian
2 Wang, Ruiwen
2 Wang, Yuepeng
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 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 Lin, Guang
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 Zhu, Chuanhua
1 Zupanski, Milija

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,204 times in 667 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.
58
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.
49
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.
48
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
45
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.
36
2006
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
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.
35
2015
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535
Ştefănescu, R.; Sandu, A.; Navon, I. M.
33
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.
31
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.
29
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.
29
2007
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
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
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
Optimal control of cylinder wakes via suction and blowing. Zbl 1151.76443
Li, Zhijin; Navon, I. M.; Hussaini, M. Y.; Le Dimet, F.-X.
23
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.
22
2013
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
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.
21
2016
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.
21
2009
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
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.
19
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.
18
2015
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.
16
2009
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
Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements. Zbl 0946.65113
Li, Jichun; Navon, I. M.
15
1999
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.
14
2013
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
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.
13
2017
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
Finite-element simulation of the shallow-water equations model on a limited-area domain. Zbl 0438.76017
Navon, I. M.
11
1979
Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation. Zbl 1425.76242
Jardak, M.; Navon, I. M.; Zupanski, M.
11
2010
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
PENT: A periodic pentadiagonal systems solver. Zbl 0609.65015
Navon, I. M.
9
1987
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 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
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
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
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.
6
2019
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
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.
6
2012
Computational methods for data evaluation and assimilation. Zbl 1283.68014
Cacuci, Dan Gabriel; Navon, Ionel Michael; Ionescu-Bujor, Mihaela
6
2014
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
6
2013
An analysis of a hybrid optimization method for variational data assimilation. Zbl 1161.76449
Daescu, Dacian; Navon, I. M.
6
2003
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
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 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.
5
2019
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
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
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
Truncated-Newton training algorithm for neurocomputational viscoplastic model. Zbl 1119.74622
Al-Haik, M. S.; Garmestani, H.; Navon, I. M.
4
2003
A linear ADI method for the shallow-water equations. Zbl 0454.76032
Fairweather, G.; Navon, I. M.
4
1980
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
Analysis of the Turkel-Zwas scheme for the shallow-water equations. Zbl 0669.76037
Neta, B.; Navon, I. M.
4
1989
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
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.
4
2020
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
A posteriori error estimation by postprocessor independent of method of flow field calculation. Zbl 1103.76037
Alekseev, A. K.; Navon, I. M.
3
2006
Effect of random perturbations on adaptive observation techniques. Zbl 1426.76632
Hossen, M. J.; Navon, I. M.; Daescu, D. N.
3
2012
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
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.
3
2023
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
Numerical methods for the solution of the shallow-water equations in meteorology. Zbl 0443.76014
Navon, I. M.
2
1979
Parameter identification techniques applied to an environmental pollution model. Zbl 1412.65043
Wang, Yuepeng; Cheng, Yue; Navon, I. Michael; Guan, Yuanhong
2
2018
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
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
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
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
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
A nonintrusive hybrid neural-physics modeling of incomplete dynamical systems: Lorenz equations. Zbl 1486.37045
Pawar, Suraj; San, Omer; Rasheed, Adil; Navon, Ionel M.
1
2021
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
Calculation of uncertainty propagation using adjoint equations. Zbl 1043.76515
Alekseev, A. K.; Navon, I. M.
1
2003
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
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
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
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
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
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.
3
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 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
A nonintrusive hybrid neural-physics modeling of incomplete dynamical systems: Lorenz equations. Zbl 1486.37045
Pawar, Suraj; San, Omer; Rasheed, Adil; Navon, Ionel M.
1
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.
4
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.
6
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.
5
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.
31
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.
13
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.
21
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.
35
2015
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535
Ştefănescu, R.; Sandu, A.; Navon, I. M.
33
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.
18
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.
58
2014
Computational methods for data evaluation and assimilation. Zbl 1283.68014
Cacuci, Dan Gabriel; Navon, Ionel Michael; Ionescu-Bujor, Mihaela
6
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
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.
49
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.
29
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.
22
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.
14
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
6
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.
6
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
45
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.
21
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.
19
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.
16
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.
29
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.
36
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.
23
2003
An analysis of a hybrid optimization method for variational data assimilation. Zbl 1161.76449
Daescu, Dacian; Navon, I. M.
6
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
Truncated-Newton training algorithm for neurocomputational viscoplastic model. Zbl 1119.74622
Al-Haik, M. S.; Garmestani, H.; 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.
15
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.
48
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.
9
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 top 5

Cited by 1,145 Authors

54 Navon, Ionel Michael
53 Luo, Zhendong
26 Pain, Christopher C.
23 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
9 Li, Hong
9 Protas, Bartosz
9 Si, Zhiyong
9 Wang, Zhu
8 Buchan, Andrew G.
8 San, Omer
8 Xiao, Dunhui
8 Zhou, Yanjie
7 Chen, Jing
7 Choi, Youngsoo
6 Chaturantabut, Saifon
6 Cordier, Laurent
6 He, Yinnian
6 Piggott, Matthew D.
6 Rebholz, Leo G.
6 Sun, Ping
6 Willcox, Karen E.
6 Xie, Zhenghui
5 Ahmed, Shady E.
5 Arcucci, Rossella
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 Rui, Hongxing
5 Singler, John R.
5 Zhang, Yunzhang
4 Allison, P. A.
4 Bistrian, Diana Alina
4 Borggaard, Jeff T.
4 Chen, Shaochun
4 Daescu, Dacian N.
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 Manzoni, Andrea
4 Quarteroni, Alfio M.
4 Rasheed, Adil
4 Rubino, Samuele
4 Song, Junpeng
4 Soulaimani, Azzeddine
4 Tu, Xuemin
4 Wang, Yuepeng
4 Xia, Hong
4 Xie, Xuping
4 Zhang, Jicai
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 Duressa, Gemechis File
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
3 Li, Liang
3 Liu, Xiaowei
...and 1,045 more Authors
all top 5

Cited in 132 Serials

90 Journal of Computational Physics
82 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
15 Applied Numerical Mathematics
15 International Journal of Computational Fluid Dynamics
14 Journal of Scientific Computing
12 International Journal for Numerical Methods in Engineering
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 Engineering Analysis with Boundary Elements
7 Advances in Computational Mathematics
7 Computational Geosciences
6 Mathematical Problems in Engineering
6 Results in Applied Mathematics
5 SIAM Journal on Numerical Analysis
5 Physica D
5 Numerical Methods for Partial Differential Equations
5 Numerical Algorithms
5 European Journal of Mechanics. B. Fluids
5 Journal of Numerical Mathematics
5 Boundary Value Problems
5 Communications in Computational Physics
4 Mathematics of Computation
4 Physics of Fluids
4 Optimization and Engineering
4 Discrete and Continuous Dynamical Systems. Series B
4 Advances in Difference Equations
3 Numerical Functional Analysis and Optimization
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applied Mathematics Letters
3 Computational Optimization and Applications
3 Journal of Difference Equations and Applications
3 Journal of Mathematical Chemistry
3 Thai Journal of Mathematics
3 International Journal of Computational Methods
3 Inverse Problems in Science and Engineering
3 SIAM/ASA Journal on Uncertainty Quantification
2 Fluid Dynamics
2 Journal of the Franklin Institute
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 Bulletin of Mathematical Biology
2 Computing
2 Journal of Optimization Theory and Applications
2 Numerische Mathematik
2 Applied Mathematics and Mechanics. (English Edition)
2 Mathematical and Computer Modelling
2 Computational Mathematics and Modeling
2 International Journal of Computer Mathematics
2 Computational and Applied Mathematics
2 Optimization Methods & Software
2 Journal of Inequalities and Applications
2 Communications in Nonlinear Science and Numerical Simulation
2 International Journal of Applied Mathematics and Computer Science
2 Mathematical Modelling and Analysis
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics
2 Mediterranean Journal of Mathematics
2 International Journal of Biomathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Communications on Pure and Applied Mathematics
1 International Journal of Heat and Mass Transfer
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 Computational Mechanics
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)
1 Data Mining and Knowledge Discovery
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
...and 32 more Serials

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