Publications
I.M. Navon and Z. Alperson, "Application of FourthOrder FiniteDifferences
to a Baroclinic Model of the Atmosphere", Arch. fur Meteorologie and Geophysik.
Biokl. Ser. A, 27, 119(1978)
I.M. Navon, "Application of a New Partly Implicit TimeDifferencing Scheme for Solving the ShallowWater Equations", Beitrage fur Physic der Atmosphere, 51,
(1978) 281305
I.M. Navon, "ADI Solution of the Inverse Balance Equation over a NonRectangular Domain", Arch. fur Meteorologie Geophysik. Biokl., Ser. A, 28, (1979) 3952
I. M. Navon, "Finite Element Simulation of the ShallowWater Equations Model on a LimitedArea Domain", Appl. Math. Modeling, 3, (1979) 337348
I.M. Navon and U. Muller, "FESW  A FiniteElement FORTRAN IV Program for Solving the ShallowWater Equations", Advances in Engineering Software, 1, (1979) 7786
I.M. Navon, "ADIF, a Fortran IV Program for Solving the ShallowWater Equations", Computers and Geosciences, 5, (1979) 1939
I.M. Navon and H.A. Riphagen, "An Implicit Compact FourthOrder Algorithm for Solving the ShallowWater Equations in Conservation Law Form", Monthly Weather Review, 107, (1979) 11071127
I.M. Navon, "A FourthOrder Compact Implicit Scheme for Solving the Nonlinear
ShallowWater Equations in Conservation Law Form", in: Notes on Numerical Fluid Dynamics, 2, eds. Hirschel, (Vieweg, GAMM Geselfschaft fur Algemeine
Mathematik und Mechanik), (1980) 211220
G. Fairweather and I.M. Navon, "A Linear ADI Method for the ShallowWater Equations",J. Comp. Phys., 37, (1980) 118
I.M. Navon, "Implementation of 'A Posteriori' Methods for Enforcing Conservation of Potential Enstrophy and Mass in Discretized ShallowWater Equations Models", Monthly Weather Review, 109, (1981) 946958
I.M. Navon, "'A Posteriori' Numerical Techniques for Enforcing Simultaneous Conservation of the Integral Invariants", in: Notes on Numerical Fluid Mechanics, 5, Eds. Henri Viviand, Geselfschaft fur Algemeine Mathematik und
Mechanik, Vieweg, (1982) 230241
I.M. Navon and R. de Villiers, "Combined Penalty Multiplier Optimization Methods
to Enforce Integral Invariants Conservation", Monthly Weather Review, 111, (1983) 12281243
I.M. Navon, "A NumerovGalerkin Technique Applied to a FiniteElement ShallowWater Equations Model with Enforced Conservation of Integral Invariants and Selective Lumping", Journal of Computational Physics, 52, (1983) 313339
I.M. Navon and F.H.M. Semazzi, "A Comparison of the BoundedDerivative and the Normal Mode Initialization Methods Using Real Data", Monthly Weather Review,114, (1986) 21062121
I.M. Navon and R. de Villiers, "GUSTAF: A QuasiNewton Nonlinear ADI FORTRAN IV Program for Solving the ShallowWater Equations with Augmented Lagrangians", Computers and Geosciences, 12, (1986) 151173
I.M. Navon and H. Riphagen, "SHALL4, A FORTRAN IV Compact FourthOrder
Implicit Program for Solving the ShallowWater Equations in Conservation LawForm", Computers and Geosciences, 12, (1986) 129150
I.M. Navon and R. de Villiers, "The Application of the TurkelZwas Explicit Large
Time Step Scheme to a Hemispheric Barotropic Model with Constraint Restoration, "Monthly Weather Review, 115, No. 5, (1987) 10361051
I.M. Navon, "FEUDX: A Twostage High Accuracy Finite Element FORTRAN Program for Solving the Shallow Water Equations", Computers and Geosciences, 13, (1987) 255285
I.M. Navon, "PENT: A Periodic Cyclic Pentadiagonal System Solver", Communications in Numerical Methods, 3, (1987) 6369
I.M. Navon and D.M. Legler, "ConjugateGradient Methods for LargeScale Minimization in Meteorology", Monthly Weather Review, 115, (1987) 14791502
I.M. Navon, "The BaylissIsaacson Algorithm and the Constraint Restoration
Method are Equivalent", Meteorology and Atmospheric Physics, 13, (1987)143152
B. Neta and I.M. Navon, "The Transfer Function Analysis of the TurkelZwas Scheme for the ShallowWater Equations", Journal of Computational Physics, 81(2), (1989) 277300
D.M. Legler, I.M. Navon and J.J. O'Brien, "Objective Analysis of PseudoStress
Over the Indian Ocean Using a Direct Minimization Approach", Monthly Weather
Review, 117, (1989) 709720
D.H. Robertson, B.F. Brown, and I.M. Navon, "Determination of the Structure of
Mixed ArgonXenon Clusters Using a FiniteTemperature, Lattice Based MonteCarlo Method", Journal of Chemical Physics, 90(6), (1989) 32213229
J. Steppeler, I.M. Navon and H.I. Lu, "FiniteElement Schemes for Extended Integrations of Atmospheric Models", Journal of Computational Physics, 89, (1990) 95124
I.M. Navon, P.K.H. Phua and M. Ramamurthy, "Vectorization of ConjugateGradient Methods for LargeScale Minimization", Journal of Optimization Theory and its Applications, 66(1), (1990) 7194
I.M. Navon, F. Brown and D.H. Robertson, "Combined SimulatedAnnealing and
LimitedMemory QuasiNewton Methods for Determining Structure of Mixed Argon Xenon Molecular Clusters", Computers and Chemistry, 14(4), (1990) 305311
D.M. Legler and I.M. Navon, "VARIATM  A Fortran Code for Objective Analysis
of PseudoStress with Largescale ConjugateGradient Minimization", Computers
and Geosciences, 17(1), (1991) 121
I.M.Navon and J. Yu, "EXSHALLA TurkelZwas LargeTime Step Explicit Fortran
Program for Solving the ShallowWater Equations on the Sphere", Computers and Geosciences, 17, No 9, (1991) 13111343
I.M.Navon, X. Zou, J. Derber and J. Sela, "Variational Data Assimilation with the
N.M.C. Spectral Model. Part 1 : Adiabatic Model Tests", Monthly Weather Review, 120, No 7, (1992) 14331446
Richard Pffefer, I.M. Navon and X. Zou, "Comparison of the Impact of Two
TimeDifferencing Schemes on the NASA/GLA Climate Model", Monthly Weather
Review, 120, No 7, (1992) 13811393
X. Zou, I.M. Navon and F.X. LeDimet, , "Incomplete Observations and Control of
Gravity Waves in Variational Data Assimilation", Tellus, 44A, No 4 273296 (1992)
M.K. Ramamurthy and I.M. Navon, "The ConjugateGradient Variational Analysis and Initialization Method: An Application to MONEX SOP2 Data", Monthly Weather Review, 120, No 10, (1992) 23602377
Z. Wang, I.M. Navon, F.X. LeDimet and X. Zou, "The Second Order Adjoint
Analysis: Theory and Application", Meteorology and Atmospheric Physics , 50,
(1992) 320
X. Zou, I.M.Navon and F.X. LeDimet, "An Optimal Nudging Data Assimilation
Scheme Using Parameter Estimation", Quarterly Journal of the Royal Meteorological Society, 118, (1992) 11631186
X. Zou, I.M. Navon and J. Sela, "Control of Gravity Oscillations in Variational Data Assimilation", Monthly Weather Review, 121, No. 1, (1993) 272289
I. M. Navon and Yihong Cai, "Domain Decomposition and Parallel Processing of
a FiniteElement Model of the ShallowWater Equations", Computer Methods in
Applied Mechanics and Engineering, 106, No 12, (1993) 179212
X. Zou, I. M. Navon and J. Sela, "Variational Data Assimilation with Moist Threshold Processes Using the NMC Spectral Model", Tellus, 45A, (1993) 370387
Yong Li, I. M. Navon, Philippe Courtier and Pierre Gauthier , "Variational Data
Assimilation with a SemiImplicit SemiLagrangian Global ShallowWater Equations Model and its Adjoint", Monthly Weather Review, 121, No 6, (1993) 17591769
X. Zou, I.M. Navon, M Berger, M.K. Phua, T. Schlick and F.X. LeDimet, "Numerical Experience with LimitedMemory, QuasiNewton Methods for LargeScale Unconstrained Nonlinear Minimization", SIAM Journal on Optimization, 3, No 3, (1993) 582608
X.Zou, I.M.Navon, A Barcilon, Jeff Whittaker and Dan Cacuci, "An Adjoint
Sensitivity Study of Blocking in a TwoLayer Isentropic Model", Monthly Weather
Review, 121, No 10, (1993) 28332857
Yong Li, I.M.Navon, W. Yang, X.Zou J.R. Bates, S.Moorthi, R.W. Higgins",
4D Variational Data Assimilation Experiments with a Multilevel SemiLagrangian
SemiImplicit GCM", Monthly Weather Review, 122, No 5, (1994) 966983
K. Zhu, I.M.Navon and X. Zou, " Variational Data Assimilation Experiments
with Variable Resolution FiniteElement ShallowWater Equations Model", Monthly Weather Review, 122, No 5, (1994) 946965
Zhi Wang, I. M. Navon, X. Zou and F.X. Le Dimet, "A Truncated Newton Optimization Algorithm in Meteorology Applications with Analytic Hessian/vector Products", Computational Optimization and Applications, 4, (1995) 241262
Yihong Cai and I.M.Navon, "Parallel Block Preconditioning Techniques for the Numerical Simulation of ShallowWater Flow Using FiniteElement Methods", Journal of Computational Physics, 122, No 1, November 1995, (1995) 3950
J. Zou, W.W. Hsieh and I.M.Navon, "Sequential open Boundary Control by data
Assimilation in a Limited Area Model", Monthly Weather Review, 123, No 9.,
(1995) 28992909
J. Zou and I.M.Navon, "The development and verification of the adjoint of radiation transfer Process in the NMC spectral model. Part 1: Solar Radiative Transfer.", Meteorology and Atmospheric Physics, 58, 14, (1996) 193203
Weiyu Yang, I.M.Navon and Philippe Courtier, "A New Hessian Preconditioning
Method Applied to Variational Data Assimilation Experiments using Adiabatic
Version of NASA/GEOS1 GCM", Monthly Weather Review, 124, No 5, (1996)
10001017
B. Neta, F Giraldo and I.M.Navon, "Analysis of the TurkelZwas Scheme for the
TwoDimensional Shallow Water Equations in Spherical Coordinates", , Journal of Computational Physics, 133, (1997) 102112.
Zhi Wang, Kelvin K. Droegemeier, L. White and I.M.Navon, "Application of a New
Adjoint Newton Algorithm to the 3D ARPS Storm Scale Model Using Simulated
Data", Monthly Weather Review, 125, No 10, (1997) 24602478
I.M.Navon, "Practical and Theoretical Aspects of Adjoint Parameter Estimation
and Identifiability in Meteorology and Oceanography", Dynamics of Atmospheres
and Oceans. Special Issue in honor of Richard Pfeffer, 27 nos 14, (1998) 55
Zhijin Li and I.M.Navon, "Sensitivity Analysis of outgoing radiation at the
top of the Atmosphere in the NCEP/MRF model", Journal of Geophysical ResearchAtmospheres, 103, No D4, (1998) 38013814
Jichun Li and I.M. Navon, "Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: reactiondiffusion type", Computers & Mathematics with Applications , Vol 35, Issue 3, (1998) 5770
Jichun Li and I.M. Navon, "Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems II: ConvectionDiffusion type", Computer Methods in Applied Mechanics and Engineering, Vol 162, Nos 14, (1998) 4978
Yanqiu Zhu and I.M. Navon, " FSUGSM Forecast Error Sensitivity to Initial
Conditions: Application to Indian Summer Monsoon", Meteorology and Atmospheric Physics, Vol 68, No. 12, (1998) 3541
Zhijin Li, Albert Barcilon and I. M. Navon, "Study of Block Onset Using Sensitivity
Perturbations in Climatological Flows", Monthly Weather Review, Vol 127, No 5,
(1999) 879900
Yanqiu Zhu and I. M. Navon, "Impact of Key Parameters Estimation on the Performance of the FSU Spectral Model using the Full Physics Adjoint", Monthly Weather Review, Vol 127, No 7, (1999) 14971517
Jichun Li and I. M. Navon, "A Global Uniformly Convergent Finite Element Method for a Quasilinear Singularly Perturbed Elliptic Problem", Computers & Mathematics with Applications, Vol 38, No 56, (1999) 197206
Jichun Li and I. M. Navon, " Global Uniformly Convergent Finite Element Methods for Singularly Perturbed Elliptic Boundary value problems: HigherOrder Elements.", Computer Methods in Applied Mechanics and Engineering, Vol 171/12 , (1999) 123
C Baysal, H Meirovitch and I.M.Navon, " Performance of Efficient Optimization
Algorithms on Local Potential Energy Minimization of Peptides", Journal of Computational Chemistry, Vol 20 No. 3, (1999) 354364
Yan Yang, I.M.Navon, Ricardo Todling and Weiyu Yang, " Sensitivity to Large
Scale Environmental Fields of the Relaxed Arakawa Schubert Parameterization in the NASA GEOS1 GCM", Monthly Weather Review, Vol 127, No. 10, (1999)
23592378
Zhijin Li I.M.Navon and Y. Zhu, "Performance of 4DVar Strategies Using the FSU Global Spectral Model with its Full Physics Adjoint", Monthly Weather Review, Vol 128, No.3, (2000) 668688
S. Zhang, X Zou, J Ahlquist, I.M. Navon and J.G. Sela, "Use of Differentiable and
NonDifferentiable Optimization Algorithms for Variational Data Assimilation with
Discontinuous Cost Functions", Monthly Weather Review, 128, No. 12, (2000)
40314044
Zhijin Li and I. M. Navon, "Optimality of 4DVar and its relationship with the Kalman filter and Kalman smoother", Quarterly Journal of the Royal Meteorological Society, Vol. 127, No. 572  January 2001 Part B, (2001) 661684
Aleksey K. Alekseev and I.M.Navon, "The Analysis of an IllPosed Problem Using
Multiscale Resolution and Second Order Adjoint Techniques", Computer Methods in Applied Mechanics and Engineering, 190, Issue 1517, (2001) 19371953
W. Castaings and I. M. Navon, "Mesh refinement Strategies for Solving Singularly Perturbed ReactionDiffusion Problems", Computers & Mathematics with Applications, Vol 41 Issue 12 (2001), 157176
X. Zou, H. Liu, J. Derber, J. G. Sela, R. Treadon, I. M. Navon, and B. Wang,
"Fourdimensional variational data assimilation with a diabatic version of the NCEP global spectral model: System development and preliminary results", Quarterly Journal of the Royal Meteorological Society., 127 (573) Part A APR 2001 , (2001) 10951122
Christian Homescu, I.M. Navon and Z. Li, "Optimal control of Flow around a rotating cylinder", International Journal for Numerical Methods in Fluids, Volume 8, Issue 1 (2002) 4369
Aleksey K.Alekseev and I. Michael Navon, "On Estimation of Temperature Uncertainty Using the Second Order Adjoint Problem", The International Journal of Computational Fluid Dynamics, Vol. 16 (2), (2002) 113117
Francois X. Le Dimet, I. M. Navon and Dacian N. Daescu, "Second Order Information in Data Assimilation", Monthly Weather Review, 130,No.3 , (2002) 629648
Zhijin Li, I.M.Navon, M.Y. Hussaini and F. X. Le Dimet, "Optimal Control of
Cylinder Wakes via Suction and Blowing", Computers & Fluids , Volume 32,
Issue 2, (2003) 149171
Chris Homescu and I. M. Navon, " Numerical and theoretical considerations for sensitivity calculation of discontinuous flow", Systems & Control Letters on Optimization and Control of Distributed Systems, Vol 48/3, (2003) 253260
T.N. Krishnamurti, K. Rajendran, Stephen Lord, X. Zou, I. Michael Navon, John
Ahlquist and Steven Cocke, "Anomaly correlations at 500mb", Monthly Weather
Review, 131, (2003) 10821102
Yanqiu Zhu , Ricardo Todling , Jing Guoy, Stephen E. Cohn, I. Michael Navon and Yan Yang, "The GEOS Retrospective Data Assimilation System: The 6 hour lag case" Monthly Weather Review , 131, No. 9, (2003) 21292150
Chris Homescu and I. M. Navon, "Optimal control of flow with discontinuities",
Journal of Computational Physics , 187, (2003) 660682
Das, Bedamati, , Meirovitch, Hagai and Navon, Ionel Michael, "Performance of
Enriched Methods for Large Scale Unconstrained Optimization as applied to Models of Proteins", Journal of Computational Chemistry, Vol. 24, No. 10, (2003)
12221231
Daescu, Dacian Nicolae and Navon, Ionel Michael, "An analysis of a hybrid
optimization method for variational data assimilation", International Journal of
Computational Fluid Dynamics, Vol. 17 (4), (2003) 299306
Aleksey K.Alekseev and I. M. Navon, "Calculation of Uncertainty Propagation Using Adjoint Equations", International Journal of Computational Fluid Dynamics , Vol. 17 (4), (2003) 283288
AlHaik, Marwan H. Garmestani and Navon, Ionel Michael, "TruncatedNewton
Training Algorithm for Neurocomputational Viscoplastic Model", Computer Methods in Applied Mechanics and Engineering, 192 , (2003) 22492267
I.M. Navon, Beny Neta and M. Y. Hussaini, "A perfectly matched layer formulation for the linearized shallow water equation models: The split equation approach", Monthly Weather Review, 132,No 6, (2004) 13691378
Zhijin Li, I.M.Navon and M. Y. Hussaini, "Analysis of the singular vectors of the
fullphysics FSU Global Spectral Model", In press in Tellus , (2004)
Zhuo Liu ,I.M.Navon and Dacian Daescu, "Impact of background error on incomplete observations for 4D VAR data assimilation with the FSU GSM", Accepted for publication in Tellus with revisions, (2004)
Daescu, Dacian Nicolae and Navon, I.M. "Adaptive observations in the
context of 4DVar data assimilation", Meteorology and Atmospheric Physics, 85,
(2004) 205226
Alekseev, Aleksey K. and Navon, Ionel Michael", Comparison of advanced
largescale minimization algorithms for solving inverse problems",
Submitted to Computational Optimization and Applications, (2004)
Aleksey Alekseev and I M. Navon , "On aposteriori pointwise error estimation using adjoint temperature and Lagrange remainder", In Press with Computer Methods in Applied Mechanics and Engineering, (2004)
A.K. Alekseev and I. M. Navon, "Refinement of A Posteriori pointwise Error
Estimation for Compressible Fluid Flows using adjoint parameters and Lagrange
remainder", International Journal for Numerical Methods in Fluids , 47(1), (2005)
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