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Numerical solution of the ocean data assimilation problem
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G. M. Kobelkov
Published/Copyright:
2004
We consider the problem of optimal control by a boundary condition for the heat equation. This problem arises in the process of mathematical formulation of a data assimilation problem for the reconstruction of the ocean surface temperature by approximate initial data and a solution. For the regularized functional, existence and uniqueness of a solution to this problem is proved; an efficient iterative method for solving this problem is proposed and justified.
Published Online: --
Published in Print: 2004-06-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
