25 citations · 57 across the 12 of their papers we have counts for
12 papers
Algorithm librla: A library of randomized linear algebra routines
Adrianna Gillman, Zydrunas Gimbutas
The library \texttt{librla} is a randomized linear algebra library that is specifically designed for the intermediate-sized matrices (of dimension up to roughly 10,000) that arise…
Precise 2D electric field density simulations for superconducting quantum devices
Zydrunas Gimbutas, Wei-Ren Syong, Nhi Nguyen +5
Dielectric loss due to two-level systems is a limiting factor for superconducting qubit relaxation times. These losses arise mostly from nanometer-scale interfacial defect regions…
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…
Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space
Zydrunas Gimbutas, Leslie Greengard, Shravan Veerapaneni
We derive new formulas for the fundamental solutions of slow, viscous flow, governed by the Stokes equations, in a half-space. They are simpler than the classical representations o…
The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering
Felipe Vico, Leslie Greengard, Miguel Ferrando +1
We present a new formulation for the problem of electromagnetic scattering from perfect electric conductors. While our representation for the electric and magnetic fields is based…
A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress
Zydrunas Gimbutas, Leslie Greengard
In this paper, we present a fast multipole method (FMM) for the half-space Green's function in a homogeneous elastic half-space subject to zero normal stress, for which an explicit…
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…
A consistency condition for the vector potential in multiply-connected domains
Charles L. Epstein, Zydrunas Gimbutas, Leslie Greengard +2
A classical problem in electromagnetics concerns the representation of the electric and magnetic fields in the low-frequency or static regime, where topology plays a fundamental ro…
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…