Extracting accurate numerical approximations from divergent integrals via "superasymptotic" integration

Authors

Raiseth John T. Fajardo ⋅ PH National Institute of Physics, University of the Philippines Diliman
Anton B. Hilado ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We do resummation on the exponential integral function via N-level Borel summation. The resulting integrals are however divergent. Nevertheless, good approximation can still be extracted from these divergent integrals by truncating the integration limit up to some cut-off point. Our method of “superasymptotic integration” is justified by the small relative error obtained by the resummation.

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Issue

2015: Proceedings of the 33rd Samahang Pisika ng Pilipinas Physics Congress

International Year of Light and light-based technologies
3-6 June 2015, University of Northern Philippines, Vigan City

Article ID

SPP-2015-PA-51

Section

Poster Session PA

Published

2015-06-03

How to Cite

[1]

RJT Fajardo, AB Hilado, and EA Galapon, Extracting accurate numerical approximations from divergent integrals via "superasymptotic" integration, Proceedings of the Samahang Pisika ng Pilipinas 33, SPP-2015-PA-51 (2015). URL: https://proceedings.spp-online.org/article/view/1207.