Abstract
The truncation error for a continued fraction to the Gaussian error function is estimated. The precision of the obtained bounds is verified by comparison with the exact values. The related precision as well as the number of needed iterations are discussed in several ways.
Zusammenfassung
Der Abbruchfehler für eine Kettenbruchentwicklung zum Gaußschen Fehlerintegral wird beidseitig abgeschätzt. Die Güte der Abschätzungen wird durch Vergleich mit den exakten Werten geprüft. Die zugehörige erreichbare Genauigkeit sowie die Anzahl der benötigten Iterationen werden in verschiedener Weise diskutiert.
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Boese, G. An a priori estimate for the truncation error of a continued fraction expansion to the Gaussian error function. Computing 29, 135–152 (1982). https://doi.org/10.1007/BF02249937
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DOI: https://doi.org/10.1007/BF02249937