Skip to main content
SpringerLink
Log in

Machine mathematics: Problems and prospects

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

“Pitfalls” are considered that arise during the implementation of theoretically justified algorithms of computational mathematics in solving scientific and technical problems and lead to computer solutions that have no physical meaning.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. http://www.nafems.

  2. H. Heuer, I. N. Moltschanow, and F. Stuchlik, “Schwierigkeiten im Zusammenhang mit der Lösung mathematischer Aufgaben auf Computern,” Prepr. No. 2, Otto von Guericke Univ., Magdeburg (1995).

    Google Scholar 

  3. I. N. Molchanov, Machine Methods of Solution of Applied Problems: Algebra and Approximation of Functions [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  4. H. Heuer, I. N. Moltschanow, and F. Stuchlik, “Die mathematische Modellierung — Mö glichkeiten und Grenzen,” Prepr. No. 10, Otto von Guericke Univ., Magdeburg (1994).

    Google Scholar 

  5. J. J. Dongarra, C. B. Moler, J. R. Bunch, and G. W. Steward, LINPACK User’s Guide, SIAM, Philadelphia (1979).

    Google Scholar 

  6. I. M. Molchanov, Ye. F. Galba, O. V. Popov, O. M. Khimich, T. V. Chistyakova, and M. F. Yakovlev, “An intelligent interface for investigation and solution of problems of computational mathematics with approximately specified input data on a MIMD-computer,” Probl. Programmirovaniya, Nos. 1–2, 102–112 (2000).

  7. I. N. Molchanov and M. F. Yakovlev, “Algorithmic foundations of creation of an intelligent software tool for investigation and solution of Cauchy problems for systems of ordinary differential equations,” Cybernetics and Systems Analysis, No. 5, 3–16 (2001).

  8. I. N. Molchanov, Ye. F. Galba, A. V. Popov, A. N. Khimich, T. V. Chistyakova, and M. F. Yakovlev, “An intelligent interface for investigation and solution of problems of strength analysis of constructions,” Probl. Programmirovaniya, Nos. 1–2, 532–537 (2002).

Download references

Author information

Authors and Affiliations

  1. Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

    I. N. Molchanov

Authors
  1. I. N. Molchanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 65–72, November–December 2004.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Molchanov, I.N. Machine mathematics: Problems and prospects. Cybern Syst Anal 40, 842–848 (2004). https://doi.org/10.1007/s10559-005-0023-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-005-0023-x

Keywords

Search

Navigation