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An implicit off-step point method for the integration of stiff differential equations

Ein implizites off-step point Verfahren zur Integration steifer Differentialgleichungen

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Abstract

Recently England introducedk-step formulas of orderk+2 which use one off-step point for the integration of stiff differential equations. These formulas are slightly modified, theorems on the error constants are given and numerical results are presented.

Zusammenfassung

k-Schritt off-step point Verfahren der Ordnungk+2 zur Integration steifer Differentialgleichungen sind von England neu eingeführt worden. Für eine leichte Verallgemeinerung dieser Verfahren werden Resultate über die Fehlerkonstanten angegeben. Darüber hinaus werden numerische Ergebnisse vorgestellt.

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References

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This work was partly supported by the Deutsche Forschungsgemeinschaft—Sonderforschungsbereich 72.

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Lautsch, M. An implicit off-step point method for the integration of stiff differential equations. Computing 31, 177–183 (1983). https://doi.org/10.1007/BF02259913

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  • DOI: https://doi.org/10.1007/BF02259913

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