Solvability of the data assimilation problem in the scale of Hilbert spaces for quasilinear singularly perturbed evolutionary problems

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 12, Issue 1, 1997, Pages 53-66

  Shutyaev, V P ^a  

^a INSTITUTE OF NUMERICAL MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345879109     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1515/rnam.1997.12.1.53     Document Type: Article

References (11)

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3. V. P. Dymnikov and A. N. Filatov, Introduction to the Mathematical Theory of Climate. Inst. Numer. Math., Russ. Acad. Sci., Moscow, 1993 (in Russian).
4. J.-L. Lions, Contrôle Optimal de Systémes Gouvernés par des Équations aux Dérivées Partielles. Dunod, Paris, 1968.
5. J.-L. Lions, Qelques Methodes de Résolution des Problémes aux Limites Nonlinéaires. Dunod, Paris, 1969.
6. G. I. Marchuk and V. I. Lebedev, Numerical Methods in the Theory of Neutron Transport. Harwood Academic Publishers, New York etc., 1986.
7. G. I. Marchuk and V. B. Zalesny, A numerical technique for geophysical data assimilation problems using Pontryagin's principle and splitting-up method. Russ. J. Numer. Anal. Math. Modelling (1993) 8, No. 4, 311-326.
8. G. I. Marchuk and V. P. Shutyaev, Iteration methods for solving a data assimilation problem. Russ. J. Numer. Anal. Math. Modelling (1994) 9, No. 3, 265-279.
9. V. P. Shutyaev, Some properties of the control operator in the problem of data assimilation and iterative algorithms. Russ. J. Numer. Anal. Math. Modelling (1995) 10, No. 4, 357-371.
10. V. P. Shutyaev and E. I. Parmuzin, Numerical Solution of the Data Assimilation Problem in a Singularly Perturbed Evolutionary Problem. No. 3494-B95, VINITI, Moscow, 1995 (in Russian).
11. Yu. N. Skiba, Mathematical Problems of the Dynamics of a Viscous Barotropic Fluid on a Rotating Sphere. Dept. Numer. Math., USSR Acad. Sci., Moscow, 1989 (in Russian).