2009

  Data assimilation for Numerical Weather Prediction : a review. , I.M. Navon. Chapter in Springer Book entitled " Data Assimilation for Atmospheric, Oceanic, and Hydrologic Applications". Park, Seon K., Xu, Liang(Eds), 2009, XVIII, 475 p. 326 illus., Hardcover, ISBN: 978-3-540-71055-4 (2009)

   A POD goal-oriented error measure for mesh optimisation F.Fang ,C. C. Pain,I. M. Navon, G. J. Gorman, M. D. Piggott, P. A. Allison, and A. J. H. Goddard . In Early View in International Journal for Numerical Methods in Fluids,DOI: 10.1002/fld.2182 (2009)

   An estimation of the sensitivity of numerical error norm using adjoint model A. K. Alekseev and I. M. Navon. Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/fld.2137 (2009)

  An Equation- Free Reduced Order Modeling Approach to Tropic Pacific Simulation. , Ruiwen Wang Jiang Zhu, Zhendong Luo and I. Michael Navon, Advances in Geosciences book series of World Scientific Publishing. Vol.12, Pages 672-688, (2009) . ,

   An optimizing reduced PLSMFE formulation for non-stationary conduction - convection problems. Zhendong Luo, Jing Chen , I.M. Navon and J. Zhu International Journal for Numerical Methods in Fluids,Volume 60 Issue 4, Pages 409 - 436 , (2009)

   Different approaches to model error formulation in 4D-Var: a study with high resolution advection schemes . Santha Akella and I.M. Navon , Tellus A . , Vol 61A, 112--128 (2009)

   A POD reduced order 4D-Var adaptive mesh ocean modelling approach F. Fang, C.C. Pain , I.M. Navon, M.D. Piggott , G.J. Gorman , P. E. Farrell, P. Allison, A.J.H. Goddard. International Journal for Numerical Methods in Fluids. Volume 60, Issue 7, 709-732, 10 July 2009

  Comparison of Sequential data assimilation methods for the Kuramoto-Sivashinsky equation . M. Jardak , I. M. Navon and M. Zupanski In Early View in International Journal for for Numerical Methods in Fluids. , (2009)

  Reduced order modelling of an adaptive mesh ocean model. F. Fang, C.C. Pain , I.M. Navon, M.D. Piggott , G.J. Gorman , A.J.H. Goddard. International Journal for Numerical Methods in Fluids , Volume 59, Issue 8, 827-851, 20 March 2009

  Data Assimilation for Geophysical Fluids. Jacques Blum, Francois-Xavier Le Dimet, I. Michael Navon. Chapter in Computational Methods for the Atmosphere and the Oceans, Volume 14: Special Volume of Handbook of Numerical Analysis. R. Temam and J. Tribbia, eds. Elsevier Science Ltd, New York. Hardbound, 784 pages, publication date: NOV-2008 ISBN-13: 978-0-444-51893-4 ( Philippe G. Ciarlet, Editor). (2009)

   A POD reduced order unstructured mesh ocean modelling method for moderate Reynolds number flows.F. Fang, C.C. Pain, I.M. Navon,M.D. Piggott, G.J. Gorman , P. Allison , A.J.H. Goddard. Ocean Modelling,Volume 28, Issues 1-3,127--136 (2009)

  Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems Aleksey K.Alekseev, I. M. Navon and Jeff Steward Optimization Methods and Software Vol. 24, No. 1, pp 63--87, (2009)

  Criteria of optimality for sensors location based on adjoint transformation of observation data interpolation error A.K. Alekseev and I. M. Navon. In In Early View with International Journal for Numerical Methods in Fluids (2009)

  Optimal Control of a Finite-Element Limited-Area Shallow-Water Equations Model. X. Chen and I.M. Navon. STUDIES IN INFORMATICS AND CONTROL. ,, Vol 18, No 1 , pp 41-62, (2009)

  Spectral Stochastic Two-scale Convergence Method For Parabolic PDEs.M. Jardak and I. M. Navon. Accepted for publication with revisions to International Journal for Numerical Methods in Engineering (2009)

  A dual weighted trust-region adaptive POD 4D-Var applied to a Finite -Element Shallow water Equations Model.Xiao Chen, I. M. Navon and F. Fang Accepted for publication in International Journal for Numerical Methods in Fluids (2009)

  An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations.Juan Du, Jiang Zhu, Zhendong Luo and I. M. Navon In Early View in Communications in Numerical Methods in Engineering (2009)

  The Estimation of functional uncertainty using Polynomial Chaos and adjoint equations.A.K. Alekseev, I. M. Navon, M.E. Zelentsov Submitted for publication to International Journal for Numerical Methods in Fluids (2009)

  The Independent Set Perturbation Adjoint Method: A new method of differentiating mesh based fluids models. F.Fang,C. C. Pain, I. M. Navon, G. J. Gorman, M. D. Piggott, P. A. Allison. Submitted for publication to International Journal for Numerical Methods in Fluids (2009)

2008

   Error estimation of goal oriented functional arising from iterative solution of Euler Equation. ,A.K. Alekseev and I. Michael Navon, International Journal of Computational Fluid Dynamics , Vol 22, No 4, 221-- 228 (2008)

   Adaptive observations using HSV and TESV in a 4D-Var framework with a finite volume shallow-water model. I.M. Navon, D. N. Daescu and Yanhua Cao . ( Abstract only) Submitted for publication to Tellus . (2008)

   The Maximum Likelihood Ensemble Filter as a non-differentiable minimization algorithm. Milija Zupanski, I. Michael Navon, and Dusanka Zupanski. Quarterly Journal of the Royal Meteorological Society , Volume 134, Issue 633,April 2008 Part B,1039-1050 (2008)

  A Dual-Weighted Approach to Order Reduction in 4D-Var Data Assimilation. ,D.N. Daescu and I.M. Navon. Monthly Weather Review. Vol. 136, No. 3. , 1026--1041 (2008)

  Reduced-order Observation Sensitivity in 4D-VAR Data Assimilation. D.N. Daescu and I.M. Navon. Paper presented at American Meteorological Society 88th AMS Annual Meeting New Orleans, LA, 20-24 January 2008. (2008)

  A Dual Weighted POD Approach to 4-D VAR Adaptive Mesh Ocean Modelling. F. Fang, C.C. Pain, I.M. Navon, M.D. Piggott, G.J. Gorman, P.A. Allison and A.J.H. Goddard. Paper presented at 2008 Ocean Sciences Meeting, AGU, Orlando, FL,2-7 March 2008. (2008)

   Lecture at Workshop on Industrial Applications of Low Order Models Based on Proper Orthogonal Decomposition (POD). Bordeaux, France, March 31 - April 02,2008. I.M. Navon (2008)

  Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Non-Stationary Navier-Stokes Equations.(Abstract) Zhendong Luo, Jing Chen , I. M. Navon and Xiaozhong Yang. SIAM Jour. Num. Anal., Vol 47, Issue 1, pp 1--19. ( 2008)

2007

   .Predictability, Observations and Uncertainties in Geosciences ,M. Zupanski and I. Michael Navon, Bulletin of the American Meteorological Society , Volume 88, Issue 9 (September 2007), pp 1431-1433 , (2007)

  An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model . Zhendong Luo, Jing Chen, Jiang Zhu, R. Wang and I. M. Navon, International Journal for Numerical Methods in Fluids , Vol 55 , 143-161, Sept 20 (2007)

  Efficiency of a Pod-based reduced second order adjoint model in 4-D VAR data assimilation. Dacian N. Daescu and I.M. Navon International Journal for Numerical Methods in Fluids, 53, 985-1004 (2007)

  Adaptive Ensemble size reduction and inflation. Bahri Uzunoglu, Steven J Fletcher, M. Zupanski and I.M. Navon , Quarterly Journal of the Royal Meteorological Society , Vol 133, 1281-1294 (2007)

  The Impact of Data Interaction on Targeted Observations with a 4D-VAR Data Assimilation and Forecast System.( Extended Abstract) ,Dacian N Daescu, I.M. Navon, S. Akella and G. Erlebacher. The 87th AMS Annual Meeting (San Antonio, TX),11th Symposium on Integrated Observing and Assimilation Systems for the Atmosphere, Oceans, and Land Surface (IOAS-AOLS). , (2007)

  Proper Orthogonal Decomposition Approach and Error estimation of Mixed finite Element Methods for the tropical Pacific Ocean Reduced Gravity Model , Zhendong Luo, Jiang Zhu, Ruiwen Wang and I. Michael Navon, Computer Methods in Applied Mechanics and Engineering , Vol 196/41-44 ,pp 4184-4195 (2007)

   A reduced order approach to four-dimensional variational data assimilation using proper orthogonal decomposition. Yanhua Cao, Jiang Zhu, I.M. Navon and Zhendong Luo International Journal for Numerical Methods in Fluids , Volume 53, Issue 10 (10 April 2007), 1571-1583 (2007)

2006

  Reduced Order Modeling of the Upper Tropical Pacific Ocean Model Using Proper Orthogonal Decomposition. Yanhua Cao, Jiang Zhu, Zhendong Luo and I.M. Navon Computers & Mathematics with Applications , Volume 52, Issues 8-9, 1373-1386 (2006)

  Adjoint a-posteriori measures for anisotropic mesh optimization. P.W. Power, C.C. Pain, M.D. Piggott, F. Fang, G.J. Gorman, A.P. Umpelby, A.J.H. Goddard and I.M. Navon, Computers & Mathematics with Applications , Volume 52, Issues 8-9, 1213-1242 (2006)

  Open Boundary Control Problem for Navier Stokes Equations including a free surface: Data Assimilation. Y. Yu Gejadze , G.J. M. Copeland and I.M. Navon Computers & Mathematics with Applications , Volume 52, Issues 8-9, 1269-1288 (2006)

  Adjoint goal-based error norms for adaptive mesh ocean modelling. P.W. Power, C.C. Pain, M.D. Piggott, G.C. Norman, F.Fang, D.P.Marshall, A.J.H. Goddard and I.M. Navon Ocean Modelling , Vol 15 ,3-38 (2006)

  A comparative study of the performance of high resolution advection schemes in the context of data assimilation. Santha Akella and I.M. Navon , International Journal for Numerical Methods in Fluids , 51,. 719-748 (2006)

  A Note on the Particle Filter with Posterior Gaussian Resampling. X. Xiong I.M. Navon and B. Uzunoglu Tellus A , Vol 58A , 456-460(2006)

  A Posteriori Error Estimation by Postprocessor Independent of Flowfield Calculation Method. Aleksey K Alekseev and I.M. Navon , Computers & Mathematics with Applications ,51,397-404 (2006)

  Initiation of Ensemble Data Assimilation, Milija Zupanski, Steven Fletcher, I. Michael Navon, Bahri Uzunoglu, Ross P. Heikes, David A. Randall, and Todd D. Ringler, Tellus A , 58A , 159-170 (2006)

2005

  A posteriori pointwise error estimation for Compressible fluid flows using adjoint parameters and Lagrange remainderAleksey Alekseev and I M. Navon, International Journal for Numerical Methods in Fluids , 47, No. 1, 45-74 (2005)

  The Impact of Background Error on Incomplete Observations for 4D-Var Data Assimilation with the FSU GSM. I.M. Navon , Dacian N. Daescu and Zhuo Liu , V.S. Sunderam et al.(Eds.):Computational Science-ICCS 2005, LNCS 3515, pp 837-844. Springer Verlag, Heidelberg (2005)

  Maximum Likelihood Ensemble Filter: Exploiting dynamic localization of Lyapunov vectors. Milija Zupanski, Steven J Fletcher, I.M. Navon ,Bahri Uzunoglu,R.P. Heikes, T.D. Ringler and D.A. Randall, ,The AMS Ed Lorenz Symposium, 9-13 January 2005, San Diego, CA. (2005)

  On a-posteriori pointwise error estimation using adjoint temperature and Lagrange remainder. Aleksey Alekseev and I M. Navon Computer Methods in Applied Mechanics and Engineering ,194/18-20 ,2211-2228 (2005)

  Adjoint Correction and Bounding of Error Using Lagrange Form of Truncation Term . Aleksey K Alekseev and I.M. Navon , Computers & Mathematics with Applications ,50,1311-1332 (2005)

  Analysis of the singular vectors of the full-physics Florida State University Global Spectral Model. Zhijin Li, I.M. Navon and M. Y. Hussaini,Tellus , Vol. 57A , 560-574 (2005)

   Data assimilation of three-dimensional free surface flows using an adaptive adjoint model Data. F. FANG, C.C. PAIN, M.D. PIGGOTT, G.J. GORMAN, P.W. POWER, A.J.H. GODDARD and I.M. NAVON Unstructured finite element meeting in Germany (2005)

   Lecture at University of Maryland. I.M. NAVON Adjoint Error Correction (2005)

2004

  A Perfectly Matched Layer Formulation for the Nonlinear Shallow Water Equations Models: The Split Equation Approach, FSU-CSIT-01-41, Technical Report Florida State University, Tallahassee, FL, 2001, I.M. Navon, Beny Neta and M. Y. Hussaini (2001)

  A perfectly matched layer approach to the linearized shallow water equations models, I.M. Navon, Beny Neta and M. Y. Hussaini, Monthly Weather Review , 132, No 6, 1369-1378 (2004)

  Adaptive observations in the context of 4D-Var data assimilation, Dacian N Daescu and I. M. Navon, Meteorology and Atmospheric Physics (2004) , 85, 205-226 (2004). The original publication is available at http://www.springerlink.com.

  Documentation of the TLM and adjoint models of the Lin-Rood spherical shallow water finite volume model, Santha Akella and I M. Navon (2004)

2003

  Numerical and theoretical considerations for sensitivity calculation of discontinuous flow. Chris Homescu and I. M. Navon Systems & Control Letters, 48, No.3 , 97-104(2003)

  Improved Skill for the Anomaly Correlation of Geopotential Height at 500 hPa. T.N. Krishnamurti, K. Rajendran,T.S.V. Vijaya Kumar,Stephen Lord, Zoltan Toth, Xiaolei Zou, I. Michael Navon and Jon Ahlquist Monthly Weather Review , 131, 1082-1102 (2003)

  Documentation of the Tangent Linear and Adjoint Models of New MPI Version of the FSU Global Spectral Model. Zhuo Liu and I. Michael Navon, Technical Report (2002)

  Truncated-Newton Training Algorithm for Neurocomputational Viscoplastic Model M.S Al-Haik, H. Garmestani and I. M. Navon Computer Methods in Applied Mechanics and Engineering , 192, 2249-2267 (2003)

  Optimal Control of Cylinder Wakes via Suction and Blowing. Zhijin Li, I. Michael Navon, M.Y. Hussaini and F.X. Le Dimet Computers \& Fluids , 32, Issue 2, 149-171 (2003)

  On adjoint variables for discontinuous flow, Aleksey K.Alekseev and I. M. Navon CSIT Technical Report (2002)

   The GEOS Retrospective Data Assimilation System: The 6 hour lag case Yanqiu Zhu , Ricardo Todling , Jing Guoy, Stephen E. Cohn, I. Michael Navon and Yan Yang Monthly Weather Review, 131, No. 9, 2129-2150 (2003)

  Performance of Enriched Methods for Large Scale Unconstrained Optimization as applied to Models of Proteins B. Das, H. Meirovitch, and I. M. Navon , Journal of Computational Chemistry, 24, No. 10, 1222-1231 (2003)

  Optimal control of flow with discontinuities Chris Homescu and I. M. Navon, Journal of Computational Physics, 187, 660-682 (2003)

  Calculation of Uncertainty Propagation Using Adjoint Equations, Aleksey K.Alekseev and I. M. Navon International Journal of Computational Fluid Dynamics , 17, No. 4, 283-288 (2003)

  Editorial of Special Issue of IJCFD where I served as Guest Editor, International Journal of Computational Fluid Dynamics , 17, No. 4, 231-233 (2003)

  An Analysis of a Hybrid Optimization method for variational data assimilation, Dacian Daescu and I. M. Navon International Journal of Computational Fluid Dynamics, 17, No. 4, 299-306 (2003)

Fully 3 dimensional unstructured mesh ocean modelling, Chris Pain et al., (2003)

2002

  Suppression of Vortex Shedding for Flow Around a Circular Cylinder Using Optimal Control Chris Homescu, I.M.Navon and Zhijin Li International Journal for Numerical Methods in Fluids , 38, Issue 1 , 43-69 (2002)

  On Estimation of Temperature Uncertainty Using the Second Order Adjoint Problem Aleksey K.Alekseev and Michael I.Navon International Journal of Computational Fluid Dynamics , 16 (2), 113-117 (2002)

  Second Order Information in Data Assimilation Francois X. Le Dimet, I. M. Navon and Dacian N. Daescu Monthly Weather Review, 130, No. 3 , 629-648 (2002)

Adaptive observations in the context of 4D-Var data assimilation Dacian N Daescu and I. M. Navon Graphics for Lecture at EGS Meeting, Nice, April 23, 2002

  The Analysis of an Ill-Posed Problem Using Multi-Scale Resolution and Second-Order Adjoint Techniques I. M. Navon and A.K. Alekseev Lecture at Workshop: Data Assimilation in the Oceanic and Atmospheric Sciences, April 29-May 3, 2002 Institute for Mathematics and its Applications, Minneapolis

2001

  Optimality of 4D-Var and its relationship with the Kalman filter and Kalman smoother. Zhijin Li and I. Michael Navon, Quarterly Journal of the Royal Meteorological Society, 127, No. 572 - January 2001 Part B, 661-684 (2001)

   Four- dimensional variational data assimilation with a diabatic version of the NCEP global spectral model: System development and preliminary results. Zou, X., H. Liu, J. Derber, J.G. Sela, R. Treadon, I.M. Navon, and B. Wang, Quart. J. Roy. Meteor. Soc., 127, 1095-1122.(2001)

  The Analysis of an Ill-Posed Problem Using Multiscale Resolution and Second Order Adjoint Techniques Aleksey K. Alekseev and I.M. Navon Computer Methods in Applied Mechanics and Engineering , 190, Nos. 15-17 , 1937-1953 (2001)

  Mesh refinement Strategies for Solving Singularly Perturbed Reaction-Diffusion Problems W. Castaings and I. M. Navon Computers & Mathematics with Applications , 41, Issue 1-2 , 157-176 (2001)

2000

  Performance of 4D-Var with Different Strategies for the Use of Adjoint Physics with the FSU Global Spectral Model Zhijin Li , I. Michael Navon and Yanqiu Zhu Monthly Weather Review , 128, No.3, 668-688 (2000)

  Use of Differentiable and Non-Differentiable Optimization Algorithms for Variational Data Assimilation with Discontinuous Cost Functions S. Zhang, X Zou, J Ahlquist, I.M. Navon and J.G. Sela, Monthly Weather Review , 128, No. 12 , 4031-4044 (2000)

1999

  Documentation of the Multi-tasked Tangent Linear and Adjoint Models of the Adiabatic Version of the NASA GEOS-2 GCM (Version 6.5) Yan Yang, I.M.Navon and R. Todling (1999)

  Sensitivity to Large-Scale Environmental Fields of the Relaxed Arakawa-Schubert Parametrization in the NASA GEOS-1 GCM. Yan Yang, I.M. Navon,R. Todling and W. Yang, Monthly Weather Review, 127, No. 10, 2359-2378 (1999)

  Study of Block Onset Using Sensitivity Perturbations in Climatological Flows. Zhijin Li , Albert Barcilon and I.M.Navon Monthly Weather Review , 127, No.5, 879-900(1999)

  Performance of Efficient Minimization Algorithms as Applied to Models of Peptides and Proteins C. Baysal, H. Meirovitch and I. M. Navon Journal of Computational Chemistry , 20, No. 3, 354-364 (1999)

   Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: higher-order elements Jichun Li and I.M. Navon, Computer Methods in Applied Mechanics and Engineering , 171, No. 1-2, 1-23 (1999)

   A Global Uniformly Convergent Finite Element Method for a Quasilinear Singularly Perturbed Elliptic Problem Jichun Li, I. M. Navon, Computers and Mathematics with Applications ,38, No. 5-6, 197-206 (1999)

   Impact of parameter estimation on the performance of the FSU Global Spectral Model using its full physics adjoint Zhu Yanqiu and I.M.Navon Monthly Weather Review , 127, No.7 , 1497-1517 (1999)

1998

  Sensitivity Analysis of Outgoing Radiation at the Top of the Atmosphere in the NCEP/MRF Model, Z. Li, I. M. Navon, Journal of Geophysical Research-Atmospheres , 103, No. D4, 3801-3814 (1998)

  Practical and Theoretical Aspects of Adjoint Parameter Estimation and Identifiability in Meteorology and Oceanography, I. M. Navon, Dynamics of Atmospheres and Oceans. Special Issue in honor of Richard Pfeffer , 27, Nos.1-4 , 55-79 (1998)

   Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: convection-diffusion type Jichun Li and I.M.Navon Computer Methods in Applied Mechanics and Engineering , 162, Nos. 1-4, 49-78 (1998)

   Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: reaction-diffusion type Jichun Li and I.M. Navon Computers & Mathematics with applications , 35, Issue 3, 57-70 (1998)

   FSU-GSM Forecast Error Sensitivity to Initial Conditions: Application to Indian Summer Monsoon Yanqiu Zhu and I. M. Navon , Meteorology and Atmospheric Physics , 68, No. 1-2 , 35-41 (1998)

1997

  Application of a New Adjoint Newton Algorithm to the 3-D ARPS Storm Scale Model Using Simulated Data , Z. Wang, K.K. Droegemeier, L. White, I. M. Navon, Monthly Weather Review , 125, No. 10, 2460-2478 (1997)

  Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates, B. Neta, F.X. Giraldo,I. M. Navon, Journal of Computational Physics , 133, 102-112 (1997)

  Documentation of the Tangent Linear and Adjoint Models of the Relaxed Arakawa-Schubert Moisture Parametrization Package of the NASA GEOS-1 GCM Weiyu Yang, I. Michael Navon, and Ricardo Todling Technical Report Series on Global Modeling and Data assimilation. Volume 11, Max Suarez Editor. NASA Technical Memorandum 104606, 37 (1997)

1996

  A New Hessian Preconditioning Method Applied to Variational Data Assimilation Experiments Using Adiabatic Version of NASA/GEOS-1 GCM, W. Yang, I. M. Navon, P. Courtier, Monthly Weather Review , 124, No. 5, 1000-1017 (1996)

   The Linearization and Adjoint of Radiation Transfer Processes in the NMC Spectral Model Part I: Solar Radiative Transfer, J. Zou and I. M. Navon, Meteorology and Atmospheric Physics, Vol 58,193-203 (1996)

Documentation of the Tangent Linear Model and Its Adjoint of the Adiabatic Version of the NASA GEOS-1 C-Grid GCM (Version 5.2) Weiyu Yang and I. Michael Navon Technical Report Series on Global Modeling and Data assimilation. Volume 8, Max Suarez Editor. NASA Technical Memorandum 104606 , 61 (1996)