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Global error estimation in ordinary initial value problems

Part of the Lecture Notes in Mathematics book series (LNM,volume 968)

Keywords

  • Global Error
  • Richardson Extrapolation
  • Local Error Estimate
  • Stepsize Control
  • Primary Computation

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References

  1. U. Marcowitz: Fehlerabschätzung bei Anfangswertaufgaben für Systeme gewöhnlicher Differentialgleichungen, Num. Math. 24 (1975) 249–275.

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  2. A. Prothero: Estimating the Accuracy of Numerical Solutions to Ordinary Differential Equations, Proc. Conf. on Comput. Techniques for O.D.E., Manchester, 1978.

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  3. L.F. Shampine, H.A. Watts: Global Error Estimation for Ordinary Differential Equations, TOMS 2 (1976) 172–186.

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  4. H.J. Stetter: Analysis of Discretization Mehtods for Ordinary Differential Equations, Springer-Verlag, Berlin-Heidelberg-New York, 1973.

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  5. H.J. Stetter: The Defect Correction Principle and Discretization Methods, Num. Math. 29 (1978) 425–443.

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  6. H.J. Stetter: Interpolation and Error Estimation in Adams PC-Codes, SINUM 16 (1979) 311–323.

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  7. H.J. Stetter: Global Error Estimation in Adams PC-codes, TOMS 5, (1979) 415–430.

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  8. H.J. Stetter: Tolerance Proportionality in ODE-codes, SIGNUM meeting on Numerical Ordinary Differential Equations, Urbana, 1979.

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© 1982 Springer-Verlag

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Stetter, H.J. (1982). Global error estimation in ordinary initial value problems. In: Hinze, J. (eds) Numerical Integration of Differential Equations and Large Linear Systems. Lecture Notes in Mathematics, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064894

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  • DOI: https://doi.org/10.1007/BFb0064894

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11970-8

  • Online ISBN: 978-3-540-39374-0

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