Keywords
- Local Error
- Error Equation
- Global Error
- Richardson Extrapolation
- Defect Estimation
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References
U. Marcowitz: Fehlerabschätzung bei Anfangswertaufgaben für Systeme gewöhnlicher Differentialgleichungen, Num. Math. 24 (1975) 249–275.
H.J. Stetter: Analysis of Discretization Methods for Ordinary Differential Equations, Springer-Verlag, Berlin-Heidelberg-New York, 1973.
L.F. Shampine, H.A. Watts: Global Error Estimation for Ordinary Differential Equations, TOMS 2 (1976) 172–186.
H.J. Stetter: Considerations concerning a Theory for ODE-Solvers, to appear
H.J. Stetter: Tolerance Proportionality in ODE-codes, to appear.
H.J. Stetter: The Defect Correction Principle and Discretization Methods, to appear in Num. Math.
L.F. Shampine, M.K. Gordon: Computer Solution of Ordinary Differential Equations, W.H. Freeman & Co., San Francisco, 1975.
H.J. Stetter: Interpolation and Error Estimation in Adams PC-Codes, to appear.
H.J. Stetter: Global Error Estimation in Adams PC-codes, to appear.
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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