Mathematics Graduate Students Organization

Seminar:

Date: September 23

In applied mathematics, we are often required to compute integrals of functions that have no readily apparent antiderivatives. The usual remedy is to approximate the integral using numerical quadrature. However, we frequently encounter integrals whose integrands are singular or highly oscillatory and thus cannot be computed directly using a quadrature rule. I will briefly discuss a problem from fracture mechanics where such equations arise and then describe some techniques for computing these types of integrals, including the product integration method.