Boundary integral equations - Alex Barnett

2014 CBMS-NSF Conference: Fast Direct Solvers for Elliptic PDEs June 23-29, 2014 at Dartmouth College This conference is motivated by the recent rapid progress on developing "direct" (as opposed to "iterative") solvers for elliptic PDEs, which in a single sweep construct an approximate solution operator. Conference themes include: structured matrix computations that exploit analytic structure in discretized differential and integral equations; new randomized methods for accelerating certain linear algebraic computations and reducing communication bottlenecks; and the interplay between direct solvers and high-order discretization techniques that allow the solution of PDEs to ten digits of accuracy or more. The conference will be anchored by 10 summer-school style lectures delivered by Per-Gunnar Martinsson of the University of Colorado at Boulder, with hands-on tutorial afternoon coding sessions to explore the algorithms. Additional topic lectures will be given by Alex Barnett (Dartmouth), Adrianna Gillman (Dartmouth), Leslie Greengard (Simons Foundation and NYU), and Vladimir Rokhlin (Yale).