@article {IOPORT.00804631, author = {Veliov, V.M.}, title = {Computation of integrals of uncertain vector functions.}, year = {1993}, journal = {Interval Computations}, volume = {1993}, number = {4}, issn = {0135-4868}, pages = {143-153}, publisher = {Institute for New Technologies, St. Petersburg; Institute for New Technologies, Moscow}, abstract = {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.}, identifier = {00804631}, }