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Two-sided error estimates in the numerical solution of initial value problems

  • I. Näherungsverfahren Für Nichtlineare Anfangswertaufgaben Und Anfangsrandwertaufgaben
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Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 395))

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References

  1. RJABENKI, V.S., A.F. FILIPPOW, Über die Stabilität von Differenzengleichungen. VEB Deutscher Verlag der Wissenschaften, Berlin (1960).

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  2. STETTER, H.J., Analysis of discretization methods for ordinary differential equations. Springer-Verlag, Berlin etc. (1973).

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  3. SPIJKER, M.N., On the structure of error estimates for finite-difference methods, Numer. Math. 18 (1971), 73–100.

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  4. SPIJKER, M.N., Optimum error estimates for finite-difference methods, to appear in Acta Universitatis Carolinae (1974).

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  5. SPIJKER, M.N., The existence of optimum error estimates in the numerical solution of differential equations, in preparation.

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  6. STUMMEL, F., Approximation methods in analysis, Lecture Notes Series of Aarhus Universitet, Matematisk Institut (1973).

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Authors

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R. Ansorge W. Törnig

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© 1974 Springer-Verlag

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Spijker, M.N. (1974). Two-sided error estimates in the numerical solution of initial value problems. In: Ansorge, R., Törnig, W. (eds) Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen. Lecture Notes in Mathematics, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060666

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  • DOI: https://doi.org/10.1007/BFb0060666

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06832-7

  • Online ISBN: 978-3-540-37771-9

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