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Non-linear splines, some applications to singular problems

  • Helmut Werner
Part I: Invited Speakers
Part of the Lecture Notes in Mathematics book series (LNM, volume 888)

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References

  1. [1]
    Arndt, H., Lösung von gewöhnlichen Differentialgleichungen mit nichtlicnearen Splines, Num. Math. 33, 323–333 (1979).MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    Hille, E., Ordinary Differential Equations in the Complex Domain, J. Wiley & Sons, New York-London-Sydney-Toronto (1976).zbMATHGoogle Scholar
  3. [3]
    Loscalzo, F. R. and Talbot, T. D., Spline Function Approximations for Solutions of Ordinary Differential Equations, SIAM J. Numer. Anal. 4, 433–445 (1967).MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Wener, H., An Introduction to Non Linear Splines, in: Polynomial and Spline Approximation, ed. by B. N. Sahney, Reidel Publ. Co. Dordrecht 1979, (this article contains many references).Google Scholar
  5. [5]
    Werner, H., Extrapolationsmethoden zur Bestimmung der beweglichen Singularitäten von Lösungen gewöhnlicher Differentialgleichungen, in: Numerische Mathematik, ed. by R. Ansorge— K. Glashoff—B. Werner, ISNM 49, Birkhäuser Verlag, Basel 1979.Google Scholar
  6. [6]
    Werner, H., The Development of Non Linear Splines and Their Applications, in: Approximation Theory III, ed. by W. Cheney, Academic Press, New York-London-Toronto-Sydney-San Francisco 1980, 125–150.Google Scholar

Copyright information

© Srpinger-Verlag 1981

Authors and Affiliations

  • Helmut Werner
    • 1
  1. 1.Institute for Applied MathematicsUniversity of BonnBonn 1

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