Meta-expansion of transseries (Q629344)
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scientific article; zbMATH DE number 5862844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Meta-expansion of transseries |
scientific article; zbMATH DE number 5862844 |
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Meta-expansion of transseries (English)
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9 March 2011
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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.
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transseries
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asymptotic expansion
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algorithm
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zero-test
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