Explore: Asymptotic Integration

Repeated integration by parts will often lead to an asymptotic expansion. Since a convergent Taylor series fits the definition of asymptotic expansion

In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that

field theory, asymptotic freedom is a property of some gauge theories that causes interactions between particles to become asymptotically weaker as the

series using integrals and the machinery of calculus. For example, many asymptotic expansions are derived from the formula, and Faulhaber's formula for the

synonym for "numerical integration", especially as applied to one-dimensional integrals. Some authors refer to numerical integration over more than one dimension

complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is closely related to

Bohr theory of quasiperiodic functions and developed methods for asymptotic integration of nonlinear differential equations which describe oscillating processes

In mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate

expression that a differential equation is multiplied by to facilitate integration. For example, the nonlinear second order equation d 2 y d t 2 = A y 2

the method of steepest descent deforms the contour of integration C into a new path integration C′ so that the following conditions hold: C′ passes through