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Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion
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E. I. Parmuzin
Published/Copyright:
2005
We consider the problem of variational assimilation of observational data with the aim to reconstruct the initial condition in a locally one-dimensional model of vertical heat exchange in the ocean, which is described by the nonstationary heat equation with a nonlinear diffusion coefficient. We investigate the solvability of the data assimilation problem, develop and justify algorithms for its numerical solution. The results of numerical experiments are given.
Published Online: --
Published in Print: 2005-02-01
Copyright 2005, Walter de Gruyter
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Articles in the same Issue
- Inverse problems of the mathematical theory of tides: boundary-function problem
- Study and solution of identification problems for nonstationary 2D and 3D convection–diffusion equations
- Identification of the initial function for nonlinear delay differential equations
- Solvability of a tide dynamics model in adjacent seas
- Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion
- Mathematical model of sea dynamics in a σ-coordinate system
