Ludvig af Klinteberg
Numerical Analysis Group
Department of Mathematics
KTH
Stockholm
My talk will be on boundary integral methods, which is a class of powerful methods for solving certain elliptic PDEs, such as the Laplace, Helmholtz and Stokes equations. These methods require efficient and accurate evaluation of singular and nearly singular integrals, which I will talk about. I will also take a short detour into complex analysis, and demonstrate a method that can be used for computing surprisingly accurate estimates of the quadrature error in nearly singular integrals.