Optimality of 4D-Var and its relationship with the Kalman lter and Kalman smoother

[1]  D. Dee.  Simplification of the Kalman filter for meteorological data assimilation , 1991 .

[2]  Philippe Courtier,et al.  Variational Methods (gtSpecial IssueltData Assimilation in Meteology and Oceanography: Theory and Practice) , 1997 .

[3]  J. Derber.  A Variational Continuous Assimilation Technique , 1989 .

[4]  F. L. Dimet,et al.  Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects , 1986 .

[5]  W. Budgell,et al.  The Kalman smoother for a linear quasi-geostrophic model of ocean circulation , 1989 .

[6]  G. Evensen.  Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics , 1994 .

[7]  John Derber,et al.  The National Meteorological Center's spectral-statistical interpolation analysis system , 1992 .

[8]  D. Zupanski.  A General Weak Constraint Applicable to Operational 4DVAR Data Assimilation Systems , 1997 .

[9]  P. Houtekamer,et al.  Data Assimilation Using an Ensemble Kalman Filter Technique , 1998 .

[10]  P. Courtier,et al.  The ECMWF implementation of three‐dimensional variational assimilation (3D‐Var). I: Formulation , 1998 .

[11]  Stephen E. Cohn,et al.  The Behavior of Forecast Error Covariances for a Kalman Filter in Two Dimensions , 1991 .

[12]  Philippe Courtier,et al.  Four‐Dimensional Assimilation In the Presence of Baroclinic Instability , 1992 .

[13]  Geir Evensen,et al.  Advanced Data Assimilation for Strongly Nonlinear Dynamics , 1997 .

[14]  J. Mahfouf,et al.  The ecmwf operational implementation of four‐dimensional variational assimilation. III: Experimental results and diagnostics with operational configuration , 2000 .

[15]  Michael Ghil,et al.  Advances in Sequential Estimation for Atmospheric and Oceanic Flows , 1997 .

[16]  R. Todling,et al.  Suboptimal Schemes for Atmospheric Data Assimilation Based on the Kalman Filter , 1994 .

[17]  F. Mesinger,et al.  Four-dimensional variational assimilation of precipitation data , 1995 .

[18]  Arlindo da Silva,et al.  Data assimilation in the presence of forecast bias , 1998 .

[19]  Milija Zupanski,et al.  Regional Four-Dimensional Variational Data Assimilation in a Quasi-Operational Forecasting Environment , 1993 .

[20]  Ricardo Todling,et al.  A fixed-lag Kalman smoother for retrospective data assimilation , 1994 .

[21]  Ricardo Todling,et al.  Suboptimal Schemes for Retrospective Data Assimilation Based on the Fixed-Lag Kalman Smoother , 1998 .

[22]  Stephen J. Lord,et al.  The New Global Operational Analysis System at the National Meteorological Center , 1991 .

[23]  Roger Daley,et al.  The application of Kalman smoother theory to the estimation of 4DVAR error statistics , 1996 .

[24]  J. M. Lewis,et al.  The use of adjoint equations to solve a variational adjustment problem with advective constraints , 1985 .

[25]  M. Ghil,et al.  Data assimilation in meteorology and oceanography , 1991 .

[26]  X. Zou,et al.  Rainfall Assimilation through an Optimal Control of Initial and Boundary Conditions in a Limited-Area Mesoscale Model , 1996 .