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Basic research in computational mathematics;

efficient methods for solving problems in mathematical physics;
technologies for solving large problems;

theory of numerical methods of linear algebra;
theory of adjoint equations;

theory of parallel computations.

Mathematical theory of climate;

numerical modeling of general circulation of the atmosphere and ocean;
global climate models.

Analysis and modeling of complex systems (environment, medicine, immunology, bioinformatics)

http://immunol.inm.ras.ru/