Help！applications of Laplace method

tangyingqi

1. The problem statement, all variables and given/known data
Anyone knows the applications of Laplace method (not Laplace transform) in physics?

I'm writing a project about the Laplace method. The given project area is Mechanics/Mathematical Physics, but any application I could find is about statistics.

2. Relevant equations
The Laplace method is used to approximate integrals of the form:
F([itex]\lambda[/itex])=[itex]\int[/itex][itex]^{b}_{a}[/itex]h(t)e^{[itex]\lambda[/itex]f(t)}dt

3. The attempt at a solution
I'm thinking about the single slit diffraction (intensity). Does the Laplace method actually have something to do with this?