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Navon, Ionel Michael

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Author ID: navon.ionel-michael Recent zbMATH articles by "Navon, Ionel Michael"
Published as: Navon, I. M.; Navon, I. Michael; Navon, Ionel M.; Navon, Ionel Michael
External Links: MGP
Documents Indexed: 95 Publications since 1978, including 6 Books
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Co-Authors

10 single-authored
23 Fang, Fangxin
20 Pain, Christopher C.
12 Alekseev, Aleksey K.
9 Luo, Zhendong
9 Xiao, Dianshi
7 Zhu, Jiang
6 Du, Juan
5 Buchan, Andrew G.
5 Gorman, Gerard J.
5 Piggott, Matthew D.
5 Ştefănescu, Răzvan
4 Allison, P. A.
4 Chen, Xiao
4 Goddard, Anthony J. H.
4 Li, Jichun
3 Cacuci, Dan Gabriel
3 Chen, Jing
3 Daescu, Dacian N.
3 Dimitriu, Gabriel
3 Homescu, Chris
3 Le Dimet, Francois-Xavier
2 Akella, Srinivas
2 Cai, Yujin
2 Cao, Yanhua
2 Elsheikh, Ahmed H.
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 Wang, Ruiwen
2 Xiang, Jiansheng
1 Al-Haik, M. S.
1 An, Jing
1 Aristodemou, Elsa
1 Berger, M. F.
1 Bistrian, Diana Alina
1 Cai, Yanjiao
1 Calloo, A. A.
1 Castaings, W.
1 Chen, Mengshan
1 Cheng, Men
1 Cheng, Mingdong
1 Cheng, Yue
1 Copeland, Graham J. M.
1 Dargaville, Steven
1 de Villiers, Rosalie
1 Di, Zhenhua
1 Fairweather, Graeme
1 Farrell, Patrick E.
1 Garmestani, Hamid
1 Gejadze, Igor Yu.
1 Geng, Jian
1 Giraldo, Francis X.
1 Goffin, M. G.
1 Guan, Yuanhong
1 Ham, David A.
1 Holter, William H.
1 Hu, Guoding
1 Hu, Guyu
1 Hu, Rong
1 Hussaini, M. Yousuff
1 Li, Hong
1 Lu, Huei-Iin
1 Mottet, Laetitia
1 Muggeridge, Ann H.
1 Müller, Ulrich A.
1 Oppe, Thomas C.
1 Phua, Kang-Hoh
1 Phua, Paul Kang-Hoh
1 Power, P. W.
1 Ramamurthy, M.
1 Sandu, Adrian
1 Schlick, Tamar
1 Steppeler, Juergen
1 Steward, J. L.
1 Sun, Ping
1 Umpleby, A. P.
1 Wang, Aiwen
1 Wang, Yuepeng
1 Wang, Zhi
1 Xie, Zhenghui
1 Yang, Peikang
1 Yang, Pengji
1 Yang, Xiaozhong
1 Zelentsov, M. E.
1 Zhu, Joe
1 Zou, Xiaochen
1 Zou, Xiaorong
1 Zupanski, M.

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 840 times in 469 Documents Cited by Year
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
45
2007
Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type. Zbl 0907.65109
Li, J.; Navon, I. M.
39
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
36
2009
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.
35
2007
An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems. Zbl 1161.76032
Luo, Zhendong; Chen, Jing; Navon, I. M.; Zhu, Jiang
34
2009
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.
34
2006
Suppression of vortex shedding for flow around a circular cylinder using optimal control. Zbl 1007.76019
Homescu, C.; Navon, I. M.; Li, Z.
34
2002
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.
33
2007
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.
30
2014
POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model. Zbl 1286.76106
Ştefănescu, R.; Navon, I. M.
27
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.
25
2007
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
Optimal control of cylinder wakes via suction and blowing. Zbl 1151.76443
Li, Zhijin; Navon, I. M.; Hussaini, M. Y.; Le Dimet, F.-X.
20
2003
Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type. Zbl 0936.65134
Li, Jichun; Navon, I. M.
20
1998
Sensitivity and uncertainty analysis. Vol. 2: Applications to large-scale systems. Zbl 1083.60002
Cacuci, Dan G.; Ionescu-Bujor, Mihaela; Navon, Ionel Michael
19
2005
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.
19
1993
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.
17
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.
15
2013
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535
Ştefănescu, R.; Sandu, A.; Navon, I. M.
14
2015
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.
14
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.
14
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.
13
2013
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.
13
2011
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.
13
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.
13
2009
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
POD-DEIM approach on dimension reduction of a multi-species host-parasitoid system. Zbl 06542730
Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M.
11
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.
11
1999
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.
10
2016
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.
9
2017
PENT: A periodic pentadiagonal systems solver. Zbl 0609.65015
Navon, I. M.
9
1987
Finite-element simulation of the shallow-water equations model on a limited-area domain. Zbl 0438.76017
Navon, I. M.
9
1979
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.
8
1997
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
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.
6
2015
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.
6
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.
6
2011
Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation. Zbl 1425.76242
Jardak, M.; Navon, I. M.; Zupanski, M.
6
2010
Mesh refinement strategies for solving singularly perturbed reaction-diffusion problems. Zbl 0984.65125
Castaings, W.; Navon, I. M.
6
2001
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 implicit compact fourth-order algorithm for solving the shallow-water equations in conservation-law form. Zbl 0434.65079
Navon, I. M.; Riphagen, H. A.
6
1979
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.
5
2017
Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems. Zbl 1348.92122
Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M.
5
2017
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.
5
2013
The estimation of functional uncertainty using polynomial chaos and adjoint equations. Zbl 1226.65075
Alekseev, A. K.; Navon, I. M.; Zelentsov, M. E.
5
2011
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
An analysis of a hybrid optimization method for variational data assimilation. Zbl 1161.76449
Daescu, Dacian; Navon, I. M.
5
2003
Computational methods for data evaluation and assimilation. Zbl 1283.68014
Cacuci, Dan Gabriel; Navon, Ionel Michael; Ionescu-Bujor, Mihaela
4
2014
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
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.
4
2006
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
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 linear ADI method for the shallow-water equations. Zbl 0454.76032
Fairweather, G.; Navon, I. M.
4
1980
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.
3
2019
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.
3
2012
Truncated-Newton training algorithm for neurocomputational viscoplastic model. Zbl 1119.74622
Al-Haik, M. S.; Garmestani, H.; Navon, I. M.
3
2003
A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem. Zbl 0937.65114
Li, Jichun; Navon, I. M.
3
1999
Analysis of the Turkel-Zwas scheme for the shallow-water equations. Zbl 0669.76037
Neta, B.; Navon, I. M.
3
1989
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
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.
2
2020
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
Effect of random perturbations on adaptive observation techniques. Zbl 1426.76632
Hossen, M. J.; Navon, I. M.; Daescu, D. N.
2
2012
A posteriori error estimation by postprocessor independent of method of flow field calculation. Zbl 1103.76037
Alekseev, A. K.; Navon, I. M.
2
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
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
Finite-element schemes for extended integrations of atmospheric models. Zbl 0696.76031
Steppeler, J.; Navon, I. M.; Lu, H.-I.
2
1990
SHALL 4 - an implicit compact fourth-order Fortran program for solving the shallow-water equations in conservation-law form. Zbl 0473.76030
Navon, I. M.; Riphagen, H. A.
2
1981
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.
1
2019
Parameter identification techniques applied to an environmental pollution model. Zbl 1412.65043
Wang, Yuepeng; Cheng, Yue; Navon, I. Michael; Guan, Yuanhong
1
2018
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
1
2014
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
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.
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
Adjoint correction and bounding of error using Lagrange form of truncation term. Zbl 1083.65087
Alekseev, A. K.; Navon, I. M.
1
2005
Calculation of uncertainty propagation using adjoint equations. Zbl 1043.76515
Alekseev, A. K.; Navon, I. M.
1
2003
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
Numerical methods for the solution of the shallow-water equations in meteorology. Zbl 0443.76014
Navon, I. M.
1
1979
FESW - a finite-element Fortran IV program for solving the shallow-water equations. Zbl 0412.65055
Navon, I. M.; Muller, U.
1
1979
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.
2
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.
3
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.
1
2019
Parameter identification techniques applied to an environmental pollution model. Zbl 1412.65043
Wang, Yuepeng; Cheng, Yue; Navon, I. Michael; Guan, Yuanhong
1
2018
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.
9
2017
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.
5
2017
Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems. Zbl 1348.92122
Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M.
5
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.
10
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.
17
2015
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535
Ştefănescu, R.; Sandu, A.; Navon, I. M.
14
2015
POD-DEIM approach on dimension reduction of a multi-species host-parasitoid system. Zbl 06542730
Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M.
11
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.
6
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.
30
2014
Computational methods for data evaluation and assimilation. Zbl 1283.68014
Cacuci, Dan Gabriel; Navon, Ionel Michael; Ionescu-Bujor, Mihaela
4
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
1
2014
POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model. Zbl 1286.76106
Ştefănescu, R.; Navon, I. M.
27
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.
15
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.
14
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.
14
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.
13
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.
5
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.
6
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.
3
2012
Effect of random perturbations on adaptive observation techniques. Zbl 1426.76632
Hossen, M. J.; Navon, I. M.; Daescu, D. N.
2
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.
13
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.
6
2011
The estimation of functional uncertainty using polynomial chaos and adjoint equations. Zbl 1226.65075
Alekseev, A. K.; Navon, I. M.; Zelentsov, M. E.
5
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.
1
2011
Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation. Zbl 1425.76242
Jardak, M.; Navon, I. M.; Zupanski, M.
6
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
36
2009
An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems. Zbl 1161.76032
Luo, Zhendong; Chen, Jing; Navon, I. M.; Zhu, Jiang
34
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.
13
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.
13
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
45
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.
35
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.
33
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.
25
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.
34
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
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.
4
2006
A posteriori error estimation by postprocessor independent of method of flow field calculation. Zbl 1103.76037
Alekseev, A. K.; Navon, I. M.
2
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
19
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.
1
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.
20
2003
An analysis of a hybrid optimization method for variational data assimilation. Zbl 1161.76449
Daescu, Dacian; Navon, I. M.
5
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.
3
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.
34
2002
Mesh refinement strategies for solving singularly perturbed reaction-diffusion problems. Zbl 0984.65125
Castaings, W.; Navon, I. M.
6
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.
11
1999
A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem. Zbl 0937.65114
Li, Jichun; Navon, I. M.
3
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.
39
1998
Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type. Zbl 0936.65134
Li, Jichun; Navon, I. M.
20
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.
8
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.
19
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
Analysis of the Turkel-Zwas scheme for the shallow-water equations. Zbl 0669.76037
Neta, B.; Navon, I. M.
3
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
SHALL 4 - an implicit compact fourth-order Fortran program for solving the shallow-water equations in conservation-law form. Zbl 0473.76030
Navon, I. M.; Riphagen, H. A.
2
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.
9
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.
6
1979
Numerical methods for the solution of the shallow-water equations in meteorology. Zbl 0443.76014
Navon, I. M.
1
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 781 Authors

50 Navon, Ionel Michael
47 Luo, Zhendong
22 Pain, Christopher C.
20 Fang, Fangxin
13 Li, Jichun
12 Iliescu, Traian
11 Sandu, Adrian
10 Alekseev, Aleksey K.
10 Teng, Fei
9 Abbaszadeh, Mostafa
9 Dehghan Takht Fooladi, Mehdi
9 Li, Hong
9 Protas, Bartosz
9 Si, Zhiyong
8 Rozza, Gianluigi
8 Wang, Zhu
8 Xiao, Dianshi
8 Zhou, Yanjie
7 Buchan, Andrew G.
7 Chen, Jing
6 He, Yinnian
6 Piggott, Matthew D.
6 Rebholz, Leo G.
6 Stabile, Giovanni
6 Sun, Ping
6 Xie, Zhenghui
5 Du, Juan
5 Gejadze, Igor Yu.
5 Giraldo, Francis X.
5 Gorman, Gerard J.
5 Hou, Yanren
5 Huang, Pengzhan
5 Jia, Jiteng
5 Zhang, Yunzhang
4 Allison, P. A.
4 Bergmann, Michel
4 Carlberg, Kevin T.
4 Chen, Shaochun
4 Cordier, Laurent
4 Daescu, Dacian N.
4 Gao, Junqiang
4 Giannakoglou, Kyriakos C.
4 Goddard, Anthony J. H.
4 Kawahara, Mutsuto
4 Quarteroni, Alfio M.
4 Sheela, Suresh Mandir
4 Singh, Arindama
4 Singler, John R.
4 Xia, Hong
4 Zhang, Jicai
4 Zhu, Jiang
3 Arcucci, Rossella
3 Bistrian, Diana Alina
3 Borggaard, Jeff T.
3 Brancher, Jean-Pierre
3 Cacuci, Dan Gabriel
3 Chaturantabut, Saifon
3 Chen, Xiao
3 Dimitriu, Gabriel
3 Durlofsky, Louis J.
3 Feng, Xinlong
3 Han, Houde
3 Heemink, Arnold Willem
3 Hoteit, Ibrahim
3 Huang, Zhongyi
3 Jiang, Yaolin
3 Karatzas, Efthymios N.
3 Kloosterman, Jan Leen
3 Lathouwers, Danny
3 Lv, Xianqing
3 Manzoni, Andrea
3 Papadimitriou, Dimitrios I.
3 Perkó, Zoltán
3 Rao, Vishwas
3 Ryckelynck, David
3 San, Omer
3 Scovazzi, Guglielmo
3 Ştefănescu, Răzvan
3 Volkov, Oleg
3 Wang, Yuepeng
3 Willcox, Karen E.
3 Xiang, Jiansheng
3 Xie, Xuping
3 Yang, Xiaozhong
3 Zhu, Guoqing
2 Akhtar, Imran
2 Al-Baali, Mehiddin
2 Al-Haik, M. S.
2 Alexe, Mihai
2 Alsayyari, Fahad
2 Altaf, M. Umer
2 Alvarez, Gustavo Benitez
2 Ballarin, Francesco
2 Bukshtynov, Vladislav
2 Cao, Yanhua
2 Cardoso, M. A.
2 Carmichael, Gregory R.
2 Chai, Tianfeng
2 Chen, Haibo
2 Chen, Zhihua
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all top 5

Cited in 109 Serials

60 Journal of Computational Physics
52 Computer Methods in Applied Mechanics and Engineering
37 Computers & Mathematics with Applications
23 Computers and Fluids
18 International Journal for Numerical Methods in Fluids
18 Journal of Computational and Applied Mathematics
16 Applied Mathematics and Computation
15 Applied Numerical Mathematics
12 International Journal for Numerical Methods in Engineering
8 Journal of Fluid Mechanics
8 Journal of Mathematical Analysis and Applications
8 Journal of Scientific Computing
8 Applied Mathematical Modelling
7 International Journal of Computational Fluid Dynamics
6 Mathematical Problems in Engineering
5 Mathematics and Computers in Simulation
5 Numerical Algorithms
5 SIAM Journal on Scientific Computing
5 Advances in Computational Mathematics
5 Computational Geosciences
4 Mathematics of Computation
4 SIAM Journal on Numerical Analysis
4 Numerical Methods for Partial Differential Equations
4 Physics of Fluids
4 Engineering Analysis with Boundary Elements
4 European Journal of Mechanics. B. Fluids
4 Journal of Numerical Mathematics
4 Advances in Difference Equations
3 Numerical Functional Analysis and Optimization
3 Computational Optimization and Applications
3 Boundary Value Problems
2 Fluid Dynamics
2 Journal of the Franklin Institute
2 Mathematical Methods in the Applied Sciences
2 Computing
2 Journal of Optimization Theory and Applications
2 Numerische Mathematik
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 Computational Mathematics and Modeling
2 International Journal of Computer Mathematics
2 Journal of Difference Equations and Applications
2 Journal of Mathematical Chemistry
2 Optimization Methods & Software
2 Journal of Inequalities and Applications
2 International Journal of Applied Mathematics and Computer Science
2 Optimization and Engineering
2 Archives of Computational Methods in Engineering
2 Discrete and Continuous Dynamical Systems. Series B
2 Inverse Problems in Science and Engineering
2 SIAM/ASA Journal on Uncertainty Quantification
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 Bulletin of Mathematical Biology
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 Physica D
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 Applied Mathematics. Series B (English Edition)
1 Russian Journal of Mathematical Physics
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
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 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 International Journal of Theoretical and Applied Finance
1 Mathematical & Computational Applications
1 Natural Resource Modeling
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Thai Journal of Mathematics
1 International Journal of Computational Methods
1 Mediterranean Journal of Mathematics
1 Journal of Industrial and Management Optimization
1 Acta Mechanica Sinica
1 Journal of Biological Dynamics
1 Frontiers of Mathematics in China
1 Nonlinear Analysis. Hybrid Systems
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