International Science Community Association Research Journal of Recent Sciences 2277 - 2502 1 6 2012 June 2 Convergence of Numerical Solutions of the Data Assimilation Problem for the Atmospheric General Circulation Model 16 21 EN Mostafa M.Rady 1 Agricultural Botany Department, Faculty of Agriculture, Fayoum University, 63514-Fayoum, EGYPT Water Relations and Field Irrigation Dept. National Research Centre, Cairo, 12622 EGYPT MaybelleS. Gaballah 2 Murthy B.R.N. 1 Department of Mechanical and Manufacturing Engineering, Manipal Institute of Technology, Manipal 576 104, Karnataka, INDIA Lewlyn L.R.Rodrigues 2 Anjaiah Devineni 3 Ipatova V.M. 1 Moscow Institute of Physics and Technology, Dolgoprudny 141700, RUSSIA > Research Paper 2012 3 22 2012 June 2 We consider a two-layer quasigeostrophic model of the general atmospheric circulation. It is assumed that there are field measurements of air velocity. These observations are used to find the unknown initial state of the model. The discrepancy between the observed values and the model results is measured by a cost function value. We prove the solvability of the optimization problem for positive values of the regularization parameter. The system of equations is approximated by an explicit spectral-difference scheme. A theorem is proved that the numerical solutions of the data assimilation problem converge to its exact solutions. Copyright@ International Science Community Association