Meta-expansion of transseries
type: Item
instance of: scholarly article
title: Meta-expansion of transseries
zbMATH Open document ID: 1215.33011
author: Joris van der Hoeven
published in: Journal of Symbolic Computation
publication date: 2011-03-09T00:00:00Z
review text: The asymptotic behavior of many univariate functions can only expressed in generalized asymptotic scales, which are not merely formed of powers of a single variable. The computation of asymptotic expansions of functions in such generalized scales may lead to infinite cancellations, which complicate the design and implementation of practical algorithms. The author introduces a new heuristic technique of meta-expansions, which is both simple and efficient in practice, even though the answers are not guaranteed to be correct in general.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 33F10
zbMATH DE Number: 5862844
zbMATH Keywords: transseries
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: algorithm
zbMATH Keywords: zero-test
describes a project that uses: Mathemagix
MaRDI profile type: Publication
full work available at URL: j.jsc.2010.08.019
OpenAlex ID: W2149920839
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DOI: 10.1016/J.JSC.2010.08.019
description: scientific article; zbMATH DE number 5862844