Skip to main content
SpringerLink
Log in

Discrete recursive realizations of the continuous analog of an iterative solution method for nonlinear equations

  • Published:
Cybernetics Aims and scope

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

Literature Cited

  1. A. N. Kotelevskii, “Recursive Runge-Kutta methods for numerical solution of ordinary differential equations,” in: Basic and Typical Programs for Computers and Computer Systems [in Russian], No. 2 (1969), pp. 27–47.

  2. E. Kh. Drakhlin, “On free thermal convection,” Sb. Nauchn. Tr. Permsk. Politekh. Inst., Ser. Fiz.-Mat. Nauk, No. 15, 3–104 (1964).

    Google Scholar 

  3. I. Petersen, “Runge-Kutta methods for nonlinear equations in a Hilbert space,” Izv. Akad. Nauk EstSSR, Ser. Fiz.-Mat. Tekh. Nauk,12, No. 12, 123–131 (1969).

    Google Scholar 

  4. Ya. I. Al'ber, “Solution of nonlinear equations by fastest descent methods,” Dokl. Akad. Nauk SSSR,193, No. 2, 255–258 (1970).

    Google Scholar 

  5. M. K. Gavurin, “Nonlinear functional equations and continuous analogs of iterative methods,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 18–31 (1958).

    Google Scholar 

  6. V. P. Sigorskii and A. I. Petrenko, Algorithms for Electronic Circuit Analysis [in Russian], Sovet-skoe Radio, Moscow (1976).

    Google Scholar 

  7. N. V. Valishvili, Computer Calculations of Shells of Revolution [in Russian], Mashinostroenie, Moscow (1976).

    Google Scholar 

  8. A. V. Gel'fand, “Approximate integration of a system of first-order ordinary differential equations,” Izv. Akad. Nauk SSSR, Ser. Mat. Nauk, Nos. 5-6, 583–593 (1938).

    Google Scholar 

  9. V. I. Lin'kov, “Convergence of some iterative processes,” Uch. Zap. Mosk. Obl. Pedagog. Inst., Ser. Mat. Anal., No. 9, 71–80 (1964).

    Google Scholar 

  10. E. I. Lin'kov, “A continuous analog of the gradient method,” Mat. Zam.,3, No. 4, 421–426 (1968).

    Google Scholar 

  11. Ya. Asrorov and Ya. D. Mamedov, “Application of a modified Newton-Kantorovich method to the approximate solution of a system of operator equations,” Funkts. Anal. Prilozhen.,6, No. 1, 63–65 (1972).

    Google Scholar 

  12. Yu. V. Kolyada and V. P. Sigorskii, “Algorithms for numerical computation of an electronic circuit,” Izv. Vyssh. Uchebn. Zaved., Radioelektron.,20, No. 1, 52–56 (1977).

    Google Scholar 

Download references

Authors
  1. Yu. V. Kolyada
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. P. Sigorskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika, No. 3, pp. 24–28, May–June, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kolyada, Y.V., Sigorskii, V.P. Discrete recursive realizations of the continuous analog of an iterative solution method for nonlinear equations. Cybern Syst Anal 16, 333–338 (1980). https://doi.org/10.1007/BF01078251

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01078251

Keywords

Search

Navigation