Tags » Laplace Methods

A systematic "saddle point near a pole" asymptotic method with application to the gauss hypergeometric function

Studies in Applied Mathematics 127 (2011)(1), pp. 24-37

In recent works [1] and [2], we have proposed more systematic versions of the Laplace’s and saddle point methods for asymptotic expansions of integrals.

149 more words
José Luis López

A simplification of the Laplace method for double integrals. Aplication to the second Appell function.

Electron. Trans. Numer. Anal. 30 (2008), 224-­236.

The main difficulties in the Laplace method of asymptotic expansions of double integrals result from a change of variables.

95 more words
José Luis López

An Explicit Formula for the Coefficients of the Saddle Point Method

Constr. Approx 33 (2011), no. 2, 145­162.

Most standard textbooks about asymptotic approximations of integrals do not give explicit formulas for the coefficients of the asymptotic methods of Laplace and saddle point.

279 more words
José Luis López

The Laplace’s and Steepest Descents Methods Revisited

Journal of Internacional Mathematical Forum 2, 297-314 (2007)

We revise Laplace’s and Steepest Descents methods of asymptotic expansions of integrals. The main difficulties in these methods are originated by a change of variables and an eventual deformation of the integration contour.

103 more words
José Luis López