Displaying similar documents to “Optimal fourth order family of 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...

Algebraic approach to domain decomposition

Milan Práger (1994)

Banach Center Publications

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An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.

Algorithm for turnpike policies in the dynamic lot size model

Stanisław Bylka (1996)

Applicationes Mathematicae

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This article considers optimization problems in a capacitated lot sizing model with limited backlogging. Nothing is assumed about the cost function in the case of finite restrictions of the size on the stock and backlogs. The holding and backlogging costs are functions assumed to be stationary or nearly stationary in time. In both cases, it is shown that there exists an optimal infinite inverse policy and a periodical turnpike policy. Some forward and backward procedures are adopted...