Skip to main content
Log in

Computer-based techniques for solving problems of applied and computational mathematics with given quality characteristics

  • Systems Analysis
  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

The paper is concerned with computer-based techniques for the choice and development of computational resources and their efficient use to find an approximate solution with a given accuracy in a limited processor time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. V. Ivanov, M. D. Babich, A. I. Berezovskii, P. N. Besarab, V. K. Zadiraka, and V. A. Lyudvichenko, Characteristics of Problems, Algorithms, and Computers in Software Systems of Computational Mathematics [in Russian], V. M. Glushkov Inst. Cybern., NAS USSR, Kyiv (1984).

    Google Scholar 

  2. V. S. Mikhalevich, I. V. Sergienko, V. K. Zadiraka, and M. D. Babich, “Optimization of computations,” Cybern. Syst. Analysis, Vol. 30, No. 2, 213–235 (1994).

    Article  MathSciNet  Google Scholar 

  3. M. D. Babich, V. K. Zadiraka, and I. V. Sergienko, “A computing experiment in the problem of optimization of computations, Pt. I, Pt. II,” Cybern. Syst. Analysis, Vol. 35, No. 1, 47–55; No. 2, 221–239 (1999).

    Google Scholar 

  4. M. D. Babich, A. I. Berezovskii, P. N. Besarab, V. K. Zadiraka, V. A. Lyudvichenko, and I. V. Sergienko, “T-efficient calculation of the ε-solutions to problems of calculus and applied mathematics, Pt. I, Pt. II,” Cybern. Syst. Analysis, Vol. 37, No. 2, 187–202; No. 3, 381–397 (2001).

    Article  MathSciNet  Google Scholar 

  5. V. K. Zadiraka, M. D. Babich, A. I. Berezovskii, P. M. Besarab, L. O. Gnativ, and V. O. Lyudvichenko, T-Efficient Algorithms for Approximate Solution of Problems of Calculus and Applied Mathematics. Scientific Edition [in Ukrainian], V. M. Glushkov Inst. Cybern. NASU (2003).

  6. V. V. Ivanov, Methods of Computations: A Reference Book [in Russian], Naukova Dumka, Kyiv (1986).

    Google Scholar 

  7. J. F. Traub and H. Wozniakovski, A General Theory of Optimal Algorithms, Academic Press, New York (1980).

    MATH  Google Scholar 

  8. M. A. Kartsev, Arithmetics of Digital Computers [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  9. V. K. Zadiraka and O. S. Oleksyuk, Computer Arithmetics of Multidigited Numbers [in Ukrainian], V. M. Glushkov Inst. Cybern., NAS USSR, Kyiv (2003).

    Google Scholar 

  10. A. N. Tikhonov and V. Ya. Arsenin, Methods to Solve Ill-Posed Problems [in Russian], Nauka, Moskow (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 33–41, September–October 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sergienko, I.V., Zadiraka, V.K., Babich, M.D. et al. Computer-based techniques for solving problems of applied and computational mathematics with given quality characteristics. Cybern Syst Anal 42, 641–648 (2006). https://doi.org/10.1007/s10559-006-0101-8

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-006-0101-8

Keywords

Navigation