Skip to main content
Log in

Application of the combined Galerkin-Krylov method to a linear operator whose leading operator is positive in generalized sense

  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

Literature cited

  1. A. E. Martynyuk, “On a certain combined approximation method,” Ukr. Mat. Zh.,23, No. 6, 781–788 (1971).

    Google Scholar 

  2. A. E. Martynyuk, “Application of a combined method of successive approximations to a linear equation with compact operator,” in: Computational and Applied Mathematics [in Russian], Vol. 47, Vishcha Shkola, Kiev (1982), pp. 42–50.

    Google Scholar 

  3. A. E. Martynyuk, “Application of Galerkin-type and combined methods to a nonlinear equation with linear leading operator,” Mat. Fiz.,27, 32–38 (1980).

    Google Scholar 

  4. A. E. Martynyuk, “On the Galerkin-Krylov method and its convergence rate,” Ukr. Mat. Zh.,30, No. 6, 757–767 (1978).

    Google Scholar 

  5. S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  6. S. G. Mikhlin, Numerical Implementation of Variational Methods [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  7. A. E. Martynyuk, “The fundamental boundary-value problem for the polyharmonic equation,” in: Computational and Applied Mathematics [in Russian], Vol. 20, Vishcha Shkola, Kiev (1973), pp. 101–112.

    Google Scholar 

  8. A. E. Martynyuk, “On the solution of the fundamental boundary-value prblem for some linear partial differential equations of even order,” Dokl. Akad. Nauk SSSR,147, No. 6, 1288–1292 (1962).

    Google Scholar 

  9. L. V. Kantorovich and V. I. Krylov, Approximation Methods of Advanced Analysis [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 443–450, July–August, 1984.

The author is grateful to the referee for valuable remarks that served to mold the final version of this paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martynyuk, A.E. Application of the combined Galerkin-Krylov method to a linear operator whose leading operator is positive in generalized sense. Ukr Math J 36, 358–365 (1984). https://doi.org/10.1007/BF01066554

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01066554

Keywords

Navigation