Abstract

Quite often in application, logarithmically convergent series have to be evaluated. There are several convergence acceleration methods that are based on the evaluation of partial sums s n for relatively large n, and thus, normally require the evaluation of all terms a j with 0 ≤ j ≤ n. Here, we show that it is possible to avoid the computation of the partials sums of high order if it is possible to evaluate a few terms a j for relatively large j. The effectiveness of the approach is demonstrated for the 1 z expansion that is a particularly difficult example of logarithmic convergence.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.