In mathematical analysis, asymptotic analysis is a method of describing limiting behavior. The methodology has applications across science. 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 large 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.