192 citations · 228 across the 8 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.NA2011★ 29 cited
High-order accurate Nystrom discretization of integral equations with weakly singular kernels on smooth curves in the plane
S. Hao, A. H. Barnett, P. G. Martinsson +1
Boundary integral equations and Nystrom discretization provide a powerful tool for the solution of Laplace and Helmholtz boundary value problems. However, often a weakly-singular k…
math.SP2011★ 2 cited
Estimates on Neumann eigenfunctions at the boundary, and the "Method of Particular Solutions" for computing them
A. H. Barnett, Andrew Hassell
We consider the "Method of particular solutions" for numerically computing eigenvalues and eigenfunctions of the Laplacian on a smooth, bounded domain Omega in RR^n with either…