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Zydrunas Gimbutas

Publications

A fast simple algorithm for computing the potential of charges on a line

Author(s)
Zydrunas Gimbutas, Nicholas F. Marshall, Vladimir Rokhlin
We present a fast method for evaluating expressions of the form  u_j = \sum_{i = 1,i \not = j}^n \frac{\alpha_i}{x_i - x_j}, \quad \text{for} \quad j = 1

Evaluation of Abramowitz functions in the right half of the complex plane

Author(s)
Zydrunas Gimbutas, Shidong Jiang, Li-Shi Luo
A numerical scheme is developed for the evaluation of Abramowitz functions J n in the right half of the complex plane. For n = −1, . . . , 2, the scheme

Magnetic Resonance Imaging Biomarker Calibration Service: Proton Spin Relaxation Times

Author(s)
Michael A. Boss, Andrew M. Dienstfrey, Zydrunas Gimbutas, Kathryn E. Keenan, Jolene D. Splett, Karl F. Stupic, Stephen E. Russek
This document describes the calibration service to measure proton spin relaxation times, T1 and T2, of materials used in phantoms (calibration artifacts) to

A Fast Summation Method for Oscillatory Lattice Sums

Author(s)
Ryan Denlinger, Leslie Greengard, Zydrunas Gimbutas, Vladimir Rokhlin
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

Simple FMM libraries for electrostatics, slow viscous flow, and frequency-domain wave propagation

Author(s)
Zydrunas Gimbutas, Leslie Greengard
We have implemented easy to use FMM libraries for the Laplace, Helmholtz and Stokes nist-equations in two and three dimensions. The codes are based on a new
Created July 3, 2018