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 wordsStudies 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 wordsElectron. 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 wordsConstr. 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 wordsJournal 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.