I have some numerical data in the form of a list with the following structure: {...{x,y,z},...} defining a surface z=z(x,y) in a 3D space (x,y,z). The data came from a simulation, and I am post-processing it within Mathematica. The precise numbers entering this list are not very important. One can think of this as of a small simplified example:
lst = RandomReal[{-2, 2}, {200, 3}] /. {x_, y_, z_} -> {x, y,
1.5 Exp[-(x^2 + y^2) - x] + z/10};
However, my question is more broad than that. I am aware that there is a Mathematica package enabling one to apply derivatives to such numerical data in order to, say, numerically calculate gradients of z.
My question is, if there are some standard Mathematica approaches to numerically calculate integrals either of z=z(x,y), or of some function of z: f[z(x,y)] over some domain in the (x,y) plane.
Let me express my interest more clearly, I would be grateful for any proposal from you, but my primary interest is if a standard function or a standard package for this purpose exists.