Difference between revisions of "Asymptotic analysis"
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Karl Jones (Talk | contribs) (Created page with "In mathematical analysis, '''asymptotic analysis''' is a method of describing limiting behavior. The method has applications across science. == D...") |
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* [[Limit (mathematics)]] | * [[Limit (mathematics)]] | ||
* [[Method of matched asymptotic expansions]] | * [[Method of matched asymptotic expansions]] | ||
Latest revision as of 10:53, 16 October 2016
In mathematical analysis, asymptotic analysis is a method of describing limiting behavior.
The method has applications across science.
Description
Examples are:
- In applied mathematics, asymptotic analysis is used to build numerical methods to approximate equation solutions.
- In computer science in the analysis of algorithms, considering the performance of algorithms when applied to very very big input datasets.
- The behavior of physical systems when they are very large, an example being statistical mechanics.
- In accident analysis when identifying the causation of crash through count modeling with large number of crash counts in a given time and space.
See also
- Asymptote
- Asymptotic computational complexity
- Asymptotic theory
- Asymptotic expansion
- Big O notation
- Leading-order term
- Limit (mathematics)
- Method of matched asymptotic expansions
External links
- Asymptotic analysis @ Wikipedia
