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

  • 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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Abstract

An approach to the construction of algorithms that are efficient for complexity and that calculate ϵ-solutions to computation and applied mathematics problems is described in the first part of the present paper. This approach is applied for creation of iT-efficient algorithms used to solve some classes of nonlinear integral equations, ordinary differential equations, and global optimization.