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Compound successive approximations for nonlinear two point boundary value problems

Part of the Lecture Notes in Mathematics book series (LNM,volume 333)

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References

  1. P.B. BAILEY, On the interval of convergence of Picard's Iteration, ZAMM 48, 127–128 (1968).

    CrossRef  MATH  Google Scholar 

  2. P.B. BAILEY, L.F. SHAMPINE, P.E. WALTMAN, Nonlinear Two Point Boundary Value Problems, New York 1968, Academic Press.

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  3. W.J. COLES, T.L. SHERMAN, Convergence of successive approximations for nonlinear two-point boundary value problems, SIAM J.Appl.Math. 15, 426–433 (1967).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J. van de CRAATS, On the region of convergence of Picard's iteration, ZAMM 52, 487–491 (1972).

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  5. J. van de CRAATS, Successive approximations for nonlinear two point boundary value problems, thesis, Leiden University 1972.

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  6. H. EPHESER, Über die Existenz der Lösungen von Randertaufgaben mit gewöhnlichen, nichtlinearen Differentialgleichungen zweiter Ordnung, Math.Z. 61, 435–454 (1955).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. E. PICARD, Sur l'application des méthodes d'approximations successives à l'étude de certaines équations différentielles ordinaires, J.Math. 9, 217–271 (1893).

    MATH  Google Scholar 

  8. J. ALBRECHT, Zur Wahl der Norm beim Iterationsverfahren für Randwertaufgaben, ZAMM 52, 626–628 (1972).

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1973 Springer-Verlag

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van de Craats, J. (1973). Compound successive approximations for nonlinear two point boundary value problems. In: Ansorge, R., Törnig, W. (eds) Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Lecture Notes in Mathematics, vol 333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060686

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  • DOI: https://doi.org/10.1007/BFb0060686

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06378-0

  • Online ISBN: 978-3-540-46986-5

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