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Non-linear splines, some applications to singular problems

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Padé Approximation and its Applications Amsterdam 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 888))

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References

  1. Arndt, H., Lösung von gewöhnlichen Differentialgleichungen mit nichtlicnearen Splines, Num. Math. 33, 323–333 (1979).

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  2. Hille, E., Ordinary Differential Equations in the Complex Domain, J. Wiley & Sons, New York-London-Sydney-Toronto (1976).

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  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).

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  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).

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  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.

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  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.

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Authors and Affiliations

  1. Institute for Applied Mathematics, University of Bonn, Wegelerstraße 6, D-5300, Bonn 1

    Helmut Werner

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  1. Helmut Werner
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M. G. de Bruin H. van Rossum

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© 1981 Srpinger-Verlag

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Werner, H. (1981). Non-linear splines, some applications to singular problems. In: de Bruin, M.G., van Rossum, H. (eds) Padé Approximation and its Applications Amsterdam 1980. Lecture Notes in Mathematics, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095576

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  • DOI: https://doi.org/10.1007/BFb0095576

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11154-2

  • Online ISBN: 978-3-540-38606-3

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