Review
Version 1
Preserved in Portico This version is not peer-reviewed
Asymptotic Methods
Version 1
: Received: 7 September 2021 / Approved: 8 September 2021 / Online: 8 September 2021 (11:20:28 CEST)
How to cite: Fellah, M.A. Asymptotic Methods. Preprints 2021, 2021090141. https://doi.org/10.20944/preprints202109.0141.v1 Fellah, M.A. Asymptotic Methods. Preprints 2021, 2021090141. https://doi.org/10.20944/preprints202109.0141.v1
Abstract
In this lecture notes, we will introduce Asymptotics, then we will give a short glimpse on Perturbation theory (regular versus singular), which plays a crucial role especially in theoretical physics. Our goal is to find Asymptotic series that approximates the values of integrals depending on some parameter or the solutions of differential equations. These methods that lead to obtain more effective algorithms of numerical evaluation are called: Asymptotic Methods.
Keywords
Regular & Singular Perturbations; WKB Method; Watson's Lemma, Laplace's Method
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
