3 papers
math.NA2026
Adaptive singularity swap quadrature for near-singular layer potentials on axisymmetric surfaces
David Krantz, Anna-Karin Tornberg
When numerically evaluating layer potentials at target points close to the domain boundary, specialized quadrature techniques are required for accuracy because of rapid variations…
math.NA2026
Fast summation on rectangular cuboids with arbitrary periodicity in the DMK framework
David Krantz, Ludvig af Klinteberg, Anna-Karin Tornberg
Dual-space multilevel kernel-splitting (DMK) is a fast summation framework that combines ideas from the fast multipole method, Ewald summation, and multilevel summation. Originally…
math.NA2026
Stabilizing the singularity swap quadrature for near-singular line integrals
David Krantz, Alex H. Barnett, Anna-Karin Tornberg
Singularity swap quadrature (SSQ) is an effective method for the evaluation at nearby targets of potentials due to densities on curves in three dimensions. While highly accurate in…