Hello colleagues,

 Would anybody know good references on numerical integration of non-polynomial functions? It would be enough for me to obtain one-dimensional rules. Of course, it could have impact for XFEM applications, but for another, improved XFEM method that we are developing.

Note  that I am not talking about integrating singularities, but non-polynomial functions. Examples:

sqrt(x)

cos(x)

sin(x)

product of these.

Thanks for any help,

Stephane

http://people.civil.gla.ac.uk/~bordas