Partition of unity extension of functions on complex domains. - Fredrik Fryklund; Erik Lehto; Anna-Karin Tornberg (J. Comput. Phys., 2018)

An integral equation-based numerical method for the forced heat equation on complex domains. - Fredrik Fryklund; Mary Catherine A. Kropinski; Anna-Karin Tornberg (Adv. Comput. Math., 2020)

Integral equations and function extension techniques for numerical solution of PDEs. - Fredrik Fryklund (2021)

An adaptive kernel-split quadrature method for parameter-dependent layer potentials. - Fredrik Fryklund; Ludvig af Klinteberg; Anna-Karin Tornberg (Adv. Comput. Math., 2022)

An integral equation method for the advection-diffusion equation on time-dependent domains in the plane. - Fredrik Fryklund; Sara Pålsson; Anna-Karin Tornberg (J. Comput. Phys., 2023)

An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane Using Function Extension. - Fredrik Fryklund; Leslie Greengard (SIAM J. Sci. Comput., 2023)

A Lightweight, Geometrically Flexible Fast Algorithm for the Evaluation of Layer and Volume Potentials. - Fredrik Fryklund; Leslie Greengard; Shidong Jiang; Samuel Potter (CoRR, 2024)

An Accurate and Efficient Scheme for Function Extension on Smooth Domains. - Charles L. Epstein; Fredrik Fryklund; Shidong Jiang (SIAM J. Numer. Anal., 2025)