25 citations · 57 across the 12 of their papers we have counts for
6 papers · 1 filter
A parametrix for the surface Stokes equation
Tristan Goodwill, Jeremy Hoskins, Zydrunas Gimbutas +1
We introduce an integral equation formulation of the surface Stokes equations, constructed using two-dimensional Stokeslets. The resulting integral equations are Fredholm integral…
A fast simple algorithm for computing the potential of charges on a line
Zydrunas Gimbutas, Nicholas F. Marshall, Vladimir Rokhlin
We present a fast method for evaluating expressions of the form where are…
Evaluation of Abramowitz functions in the right half of the complex plane
Zydrunas Gimbutas, Shidong Jiang, Li-Shi Luo
A numerical scheme is developed for the evaluation of Abramowitz functions in the right half of the complex plane. For , the scheme utilizes series expan…
A Fast Summation Method for Oscillatory Lattice Sums
Ryan Denlinger, Zydrunas Gimbutas, Leslie Greengard +1
We present a fast summation method for lattice sums of the type which arise when solving wave scattering problems with periodic boundary conditions. While there are a variety of ef…
Randomized methods for rank-deficient linear systems
Josef Sifuentes, Zydrunas Gimbutas, Leslie Greengard
We present a simple, accurate method for solving consistent, rank-deficient linear systems, with or without addi- tional rank-completing constraints. Such problems arise in a varie…
Fast multi-particle scattering: a hybrid solver for the Maxwell equations in microstructured materials
Zydrunas Gimbutas, Leslie Greengard
A variety of problems in device and materials design require the rapid forward modeling of Maxwell's equations in complex micro-structured materials. By combining high-order accura…