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Bemerkungen zur Numerischen Lösung von Anfangswertproblemen mit Hilfe Nichtlinearer Spline-Funktionen

Part of the Lecture Notes in Mathematics book series (LNM,volume 501)

Keywords

  • Multistep Method
  • Spline Function Approximation
  • Regular Spline

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Literatur

  1. LAMBERT J.D. and SHOW, B.: On numerical solution of y′=f(x,y) by a class of formulae based on rational approximation. Math. Comput. 19 (1965) pp. 456–462.

    MATH  Google Scholar 

  2. LAMBERT J.D. and SHOW, B.: A method for the numerical solution of y′=f(x,y) based on a self-adjusting non-polynomial interpolant, Math. Comput. 20 (1966), pp. 11–20.

    MathSciNet  MATH  Google Scholar 

  3. LAMBERT J.D. and SHOW, B.: A generalization of multistep methods for ordinary differential equation, Numer. Math. 8 (1966) pp. 250–263.

    CrossRef  MathSciNet  Google Scholar 

  4. LAMBERT, J.D.: Nonlinear methods for stiff systems of ordinary differential equations. Proc. Dundee Conference on the Numerical Solution of Differential Equations, Springer Lecture Notes, 1973.

    Google Scholar 

  5. LOSCALZO, F.R. and TALBOT, T.D.: Spline function approximation for solution of ordinary differential equations. SIAM J. Numer. Anal. 4(1967) pp. 433–445.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. MICULA, G.: Approximate solution of differential equation y″=f(x,y) with spline functions. Math. Comput. 27 (1973), pp. 807–816.

    MathSciNet  MATH  Google Scholar 

  7. MICULA, G.: Die numerische Lösung nichtlinearer Differentialgleichungen unter Verwendung von Spline-Funktionen. Proc. Conf. “Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen”, Oberwolfach, 1973. Lect. Notes in Mathematics 395, 57–83. Berlin-Heidelberg-New York: Springer, 1974.

    MATH  Google Scholar 

  8. MICULA, G.: Über die numerische Lösung nichtlinearer Differentialgleichungen mit Splines von niedriger Ordnung Numerische Behandlung von Differentialgleichungen”, ISNM 27 (1975), pp. 185–195, Birkhäuser-Verlag, Basel-Stuttgart, 1975.

    MathSciNet  MATH  Google Scholar 

  9. RUNGE, R.: Lösung von Anfangswertproblemen mit Hilfe nichtlinearer Klassen von Spline-Funktionen, Dissertation. University of Münster, 1972.

    Google Scholar 

  10. SCHABACK, R.: Interpolation mit nichtlinearen Klassen von Spline-Funktionen J. Approximation Theory 8 (1973) pp. 173–188.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. WERNER, H.: Tschebyscheff-Approximation mit einer Klasse rationaler Spline-Funktionen, J. Approximation Theory, 10 (1974), pp. 74–92.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. WERNER, H.: Interpolation and integration of initial value problems of ordinary differential equations by regular splines, SIAM J. Numer. Anal. 12 (2975) pp. 255–271.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1976 Springer-Verlag

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Micula, G. (1976). Bemerkungen zur Numerischen Lösung von Anfangswertproblemen mit Hilfe Nichtlinearer Spline-Funktionen. In: Böhmer, K., Meinardus, G., Schempp, W. (eds) Spline Functions. Lecture Notes in Mathematics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079748

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  • DOI: https://doi.org/10.1007/BFb0079748

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  • Print ISBN: 978-3-540-07543-1

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