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\iteman{io-port 00804631}
\itemau{Veliov, V.M.}
\itemti{Computation of integrals of uncertain vector functions.}
\itemso{Interval Comput. 1993, No.4, 143-153 (1993).}
\itemab
Summary: The paper deals with the problem of numerical integration of a function $[0,1] \to \bbfR^n$ for which only a set-membership description is known. The set of values of the integrals of all possible realizations of the uncertain function is considered as a guaranteed result of the integration. The problem is to approximate this set, with a prescribed accuracy $\varepsilon$, by polyhedral sets, in particular, to enclose it in an $n$-dimensional interval which is $\varepsilon$-minimal. In the first part of the paper we focus on quadrature formulae for set- valued integrals and the estimation of their errors. In the second part we sketch the idea of their implementation.
\itemrv{~}
\itemcc{}
\itemut{error estimates; uncertain vector functions; quadrature formulae; set- valued integrals}
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