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Global error estimation in ODE-solvers

Part of the Lecture Notes in Mathematics book series (LNM,volume 630)

Keywords

  • Local Error
  • Error Equation
  • Global Error
  • Richardson Extrapolation
  • Defect Estimation

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

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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: Considerations concerning a Theory for ODE-Solvers, to appear

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  5. H.J. Stetter: Tolerance Proportionality in ODE-codes, to appear.

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  6. H.J. Stetter: The Defect Correction Principle and Discretization Methods, to appear in Num. Math.

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  7. L.F. Shampine, M.K. Gordon: Computer Solution of Ordinary Differential Equations, W.H. Freeman & Co., San Francisco, 1975.

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  8. H.J. Stetter: Interpolation and Error Estimation in Adams PC-Codes, to appear.

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  9. H.J. Stetter: Global Error Estimation in Adams PC-codes, to appear.

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  10. A. Prothero, A. Robinson: Global Error Estimates to Stiff Systems of ODE, submitted paper, Dundee Conference, June 1977.

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© 1978 Springer-Verlag

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Stetter, H.J. (1978). Global error estimation in ODE-solvers. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067705

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  • DOI: https://doi.org/10.1007/BFb0067705

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08538-6

  • Online ISBN: 978-3-540-35972-2

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