Displaying similar documents to “Small functions and iterative methods”

Data assimilation for the time-dependent transport problem

Victor Shutyaev (2000)

Banach Center Publications

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In this paper we consider the data assimilation problem for a timedependent transport problem in a slab when the initial condition is not known. The spaces of traces are introduced, the solvability of the original initial-boundary value transport problem is studied. The properties of the control operator are investigated, the solvability of the data assimilation problem is proved. The class of iterative methods for solving the problem is considered, and the convergence conditions are...