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Numerische Mathematik

, Volume 20, Issue 3, pp 208–212 | Cite as

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

  • Alexandru I. Şchiop
Article

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].

Keywords

Mathematical Method Ritz Procedure 
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References

  1. 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. 2.
    Collatz, L.: The numerical treatment of differential equations. 3-rd edition (568 pp.). Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
  3. 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. 4.
    Mihlin, S.: Cislenaia realizaţia variaţionîh metodov. Moscova 1966.Google Scholar
  5. 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. 6.
    Tucker, T. S.: Stability of nonlinear computing schemes. Siam J. Numer. Anal.6 (1) march 1969.Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Alexandru I. Şchiop
    • 1
  1. 1.Institute of MathematicsRoumanian Academy of ScienceBucarest 12Rumania

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