부산대학교 도서관

We consider direct and inverse problems of geophysical hydrodynamics, associated with prediction, posterior analysis, and variational assimilation of observational data. The focus is on numerical algorithms for solving problems with incomplete information (initial and boundary conditions). Along with the classical algorithms, an approach to setting and solving these problems developed in the works of G. I.Marchuk and his scientific school is presented. The approach is based on a combination of splitting methods and adjoint equations. This leads to the construction of flexible, hierarchically developed models of complex systems with a modular structure and efficient implementation. The main part of this approach is splitting a complex nonlinear system of equations for physical processes into a number of energetically balanced subsystems. Each individual subsystem can reuse splitting into subsystems of a simpler structure. The methodology is illustrated by solving the problems in hydrodynamics of the World Ocean and the Black Sea. [ABSTRACT FROM AUTHOR]