Methods of Extrapolating the T-Expansion Series

Calvin Stubbins

Published Jul 18, 2022• 2 citations

Abstract

We present four new methods in addition to the standard methods of extrapolating the t-expansion series, and make a comprehensive comparison of these procedures by applying them to the t-series for three quantum systems.We have found that by writing the series as a ratio of decreasing exponentials it is possible to devise methods that are significantly more accurate than the standard methods for low order series.By studying the function t(E) we have found a procedure that is more accurate than the standard methods for all t-series orders in two of the test sytems.

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