I am interested in developing robust, accurate and efficient solvers based on BIE to simulate wave scattering by periodic structures. 

I am interested in the implementation and numerical analysis of quadrature rules based on complex contour deformations to evaluate highly oscillatory integrals. 

Remarkably, the computational cost of these methods is independent of the frequency, and the accuracy improves as frequency increases.

The quasi-static assumption is commonly used in neurostimulation models. However, this assumption no longer holds in high-frequency applications, leading to modelling discrepancies with experiments.