T-Efficient Calculation of the ε-Solutions to Problems of Calculus and Applied Mathematics. I

Authors:
M. D. Babich;A. I. Berezovskii;P. N. Besarab;V. K. Zadiraka;V. A. Lyudvichenko;I. V. Sergienko
Affiliations:
Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2001

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Journal of the ACM (JACM)

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Abstract

An approach to construction of the efficient by complexity algorithms for calculation of ε-solutions is presented for problems of calculus and applied mathematics. The reserves which can be used in this approach are revealed. The present approach is illustrated by two classes of problems: approximation of functions and numerical integration.