Expansion by regions: revealing potential and Glauber regions automatically
Bernd Jantzen, Alexander V. Smirnov, Vladimir A. Smirnov
TL;DR
This paper introduces an improved algorithm and software update that automates the detection of potential and Glauber regions in asymptotic expansions, enhancing the capabilities of existing tools.
Contribution
The authors develop and implement an algorithm in asy2.m that automatically identifies potential and Glauber regions, addressing limitations of previous methods.
Findings
Successfully automates detection of potential regions
Enhances existing Mathematica code asy.m
Facilitates more comprehensive asymptotic expansions
Abstract
When performing asymptotic expansions using the strategy of expansion by regions, it is a non-trivial task to find the relevant regions. The recently published Mathematica code asy.m automates this task, but it has not been able to detect potential regions in threshold expansions or Glauber regions. In this work we present an algorithm and its implementation in the update asy2.m which also reveals potential and Glauber regions automatically.
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