Skip to main content
SpringerLink
Log in

Estimation of the condition number of a matrix in the direct discretization of the symm equation on a quasi-uniform grid

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

References

  1. Tsetsokho V. A., Voronin V. V., andSmagin S. I., “On solving difraction problems by single layer potentials,” Dokl. Akad. Nauk SSSR,302, No. 2, 323–327 (1988).

    Google Scholar 

  2. Dimitriev V. I. andZakharov E. V., “On numerical solution of some integral Fredholm equations of the first kind,” in: Computational Methods and Programming [in Russian], Moscow Univ., Moscow, 1968,10, pp. 49–54.

    Google Scholar 

  3. Voronin V. V. andTsetsokho V. A., “Numerical solution of an integral equation of the first kind with logarithmi singularity,” in: Mathematical Problems of Geophysics [in Russian], Vychisl. Tsentr Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1973,4, pp. 212–228.

    Google Scholar 

  4. Voronin V. V. andTsetsokho V. A., “Numerical solution of an integral equation of the first kind with logarithmic singularity by the interpolation and collocation method,” Zh. Vychisl. Mat. i Mat. Fiz.,21, No. 1, 40–53 (1981).

    MATH  Google Scholar 

  5. Arnold D. N. andWendland W. L., “The convergence of spline collocation for strongly elliptic equations,” Numer. Math.,47, 317–341 (1985).

    Article  MATH  Google Scholar 

  6. Tsetsokho V. A., “On the justification of the collocation method for solving integral equations of the first kind with weak singularity in the case of open curves,” in: Ill-Posed Problems of Mathematical Physics and Analysis [in Russian], Nauka, Novosibirsk, 1984, pp. 189–197.

    Google Scholar 

  7. Chandler G. A., “Discrete norms of the convergence of boundary element methods,” Proc. Centre Math. Appl. Austral. Nat. Univ.,26, 62–78 (1991).

    Google Scholar 

  8. Gakhov F. D., Boundary Value Problems [in Russian], Nauka, Moscow (1977).

    MATH  Google Scholar 

Download references

Authors
  1. V. V. Voronin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research was financially supported by the Russian Foundation for Basic Research (Grant 96-05-65941).

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 4, pp. 777–791, July–August, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Voronin, V.V. Estimation of the condition number of a matrix in the direct discretization of the symm equation on a quasi-uniform grid. Sib Math J 41, 643–655 (2000). https://doi.org/10.1007/BF02679690

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02679690

Keywords

Search

Navigation