Preconditioning of variational data assimilation and the use of a bi‐conjugate gradient method
暂无分享,去创建一个
[1] Y. Sasaki. SOME BASIC FORMALISMS IN NUMERICAL VARIATIONAL ANALYSIS , 1970 .
[2] Jean-Noël Thépaut,et al. Simplified and Regular Physical Parameterizations for Incremental Four-Dimensional Variational Assimilation , 1999 .
[3] J. Derber,et al. Four‐dimensional variational data assimilation with a diabatic version of the NCEP global spectral model: System development and preliminary results , 2001 .
[4] Y. Trémolet. Incremental 4D-Var convergence study , 2007 .
[5] I. Yu. Gejadze,et al. On Analysis Error Covariances in Variational Data Assimilation , 2008, SIAM J. Sci. Comput..
[6] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .
[7] Ionel M. Navon,et al. Conjugate-Gradient Methods for Large-Scale Minimization in Meteorology , 1987 .
[8] Monique Tanguay,et al. Extension of 3DVAR to 4DVAR: Implementation of 4DVAR at the Meteorological Service of Canada , 2007 .
[9] P. Sonneveld. CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems , 1989 .
[10] John Derber,et al. Atmospheric transmittance of an absorbing gas. 6. OPTRAN status report and introduction to the NESDIS/NCEP community radiative transfer model. , 2004, Applied optics.
[11] John Derber,et al. The Use of TOVS Cloud-Cleared Radiances in the NCEP SSI Analysis System , 1998 .
[12] P. Courtier,et al. Variational Assimilation of Meteorological Observations With the Adjoint Vorticity Equation. Ii: Numerical Results , 2007 .
[13] J. Mahfouf,et al. The ecmwf operational implementation of four‐dimensional variational assimilation. III: Experimental results and diagnostics with operational configuration , 2000 .
[14] G. Golub,et al. Iterative solution of linear systems , 1991, Acta Numerica.
[15] P. Courtier,et al. A strategy for operational implementation of 4D‐Var, using an incremental approach , 1994 .
[16] Jean-Noël Thépaut,et al. Impact of the Digital Filter as a Weak Constraint in the Preoperational 4DVAR Assimilation System of Météo-France , 2001 .
[17] Zhishun A. Liu,et al. A Look Ahead Lanczos Algorithm for Unsymmetric Matrices , 1985 .
[18] A. Lorenc. Optimal nonlinear objective analysis , 1988 .
[19] Samuel Buis,et al. Intercomparison of the primal and dual formulations of variational data assimilation , 2008 .
[20] A. Lorenc,et al. The Met Office global four‐dimensional variational data assimilation scheme , 2007 .
[21] Claude Lemaréchal,et al. Some numerical experiments with variable-storage quasi-Newton algorithms , 1989, Math. Program..
[22] M. Saunders,et al. Solution of Sparse Indefinite Systems of Linear Equations , 1975 .
[23] A. Simmons,et al. The ECMWF operational implementation of four‐dimensional variational assimilation. I: Experimental results with simplified physics , 2007 .
[24] S. Schubert,et al. MERRA: NASA’s Modern-Era Retrospective Analysis for Research and Applications , 2011 .
[25] Rosemary Munro,et al. Diagnosis of background errors for radiances and other observable quantities in a variational data assimilation scheme, and the explanation of a case of poor convergence , 2000 .
[26] William Carlisle Thacker,et al. The role of the Hessian matrix in fitting models to measurements , 1989 .
[27] Y. Honda,et al. A pre‐operational variational data assimilation system for a non‐hydrostatic model at the Japan Meteorological Agency: formulation and preliminary results , 2005 .
[28] M. Hestenes,et al. Methods of conjugate gradients for solving linear systems , 1952 .
[29] Y. Trémolet. Accounting for an imperfect model in 4D‐Var , 2006 .
[30] John Derber,et al. A Global Oceanic Data Assimilation System , 1989 .
[31] P. Gauthier,et al. Convergence properties of the primal and dual forms of variational data assimilation , 2010 .
[32] Jean-Noël Thépaut,et al. A 4D‐Var re‐analysis of FASTEX , 2003 .
[33] Andrew C. Lorenc,et al. Development of an Operational Variational Assimilation Scheme (gtSpecial IssueltData Assimilation in Meteology and Oceanography: Theory and Practice) , 1997 .
[34] R. Purser,et al. Three-Dimensional Variational Analysis with Spatially Inhomogeneous Covariances , 2002 .
[35] John Derber,et al. The National Meteorological Center's spectral-statistical interpolation analysis system , 1992 .
[36] Henk A. van der Vorst,et al. Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..
[37] C. Lanczos. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators , 1950 .
[38] C. M. Reeves,et al. Function minimization by conjugate gradients , 1964, Comput. J..