Displaying similar documents to “Problems of optimization of numerical mathematics”

Variants of the time minimization assignment problem.

Rita Malhotra, H. L. Bhatia (1984)

Trabajos de Estadística e Investigación Operativa

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The present paper develops techniques to solve two variants of the time minimization assignment problem. In the first, there are n jobs to be assigned to m establishments (m < n) in such a way that the time taken to complete all the jobs is the minimum, it being assumed that all the jobs are commenced simultaneously. The second variant is an extension of the first one in the sense that an additional constraint on the minimum number of jobs to be taken up by each establishment...

Optimal domains for the kernel operator associated with Sobolev's inequality

Guillermo P. Curbera, Werner J. Ricker (2003)

Studia Mathematica

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Refinements of the classical Sobolev inequality lead to optimal domain problems in a natural way. This is made precise in recent work of Edmunds, Kerman and Pick; the fundamental technique is to prove that the (generalized) Sobolev inequality is equivalent to the boundedness of an associated kernel operator on [0,1]. We make a detailed study of both the optimal domain, providing various characterizations of it, and of properties of the kernel operator when it is extended to act in its...

Minimax optimal control problems. Numerical analysis of the finite horizon case

Silvia C. Di Marco, Roberto L.V. González (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper we consider the numerical computation of the optimal cost function associated to the problem that consists in finding the minimum of the maximum of a scalar functional on a trajectory. We present an approximation method for the numerical solution which employs both discretization on time and on spatial variables. In this way, we obtain a fully discrete problem that has unique solution. We give an optimal estimate for the error between the approximated solution and the...