Skip to main content
SpringerLink
Log in

Stability of Ritz procedure for nonlinear two-point boundary value problem

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Abstract

In this paper we establish the stability of Ritz procedure in sense of Michlin and Tucker for a class of nonlinear two-point boundary value problems which has been considered by Varga, Schultz and Ciarlet in [1].

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.

Similar content being viewed by others

References

  1. Ciarlet, P. G., Schultz, M. H., Varga, R. S.: Numerical methods of high order accuracy for nonlinear boundary value problems. Numer.Math.9, 394–430 (1967).

    Google Scholar 

  2. Collatz, L.: The numerical treatment of differential equations. 3-rd edition (568 pp.). Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  3. Fox, L.: The numerical solution of two-point boundary value problems in ordinary differential equations (371 pp.). London: Oxford Univ. Press 1957.

    Google Scholar 

  4. Mihlin, S.: Cislenaia realizaţia variaţionîh metodov. Moscova 1966.

  5. Mihlin, S.: Stability of some computing process. Dokl. Akad. Nauk SSSR,157, 271–273 (1964). Soviet Math. Dokl.5, 931–933 (1964).

    Google Scholar 

  6. Tucker, T. S.: Stability of nonlinear computing schemes. Siam J. Numer. Anal.6 (1) march 1969.

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Roumanian Academy of Science, Calea Grivitei 21, Bucarest 12, Rumania

    Alexandru I. Şchiop

Authors
  1. Alexandru I. Şchiop
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Şchiop, A.I. Stability of Ritz procedure for nonlinear two-point boundary value problem. Numer. Math. 20, 208–212 (1973). https://doi.org/10.1007/BF01436564

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01436564

Keywords

Search

Navigation