activity
20102020
most citedThe Novikov-Veselov Equation and the Inverse Scattering Method, Part I: Analysis

27 citations · 55 across the 7 of their papers we have counts for

collaborators

9 papers

math.NA2020

A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón's method in the plane

Rashmi Murthy, Yi-Hsuan Lin, Kwancheol Shin +1

A direct reconstruction algorithm based on Calderón's linearization method for the reconstruction of isotropic conductivities is proposed for anisotropic conductivities in two-dime…

math.AP2017★ 19 cited

Robust Computation in 2D Absolute EIT (a-EIT) Using D-bar Methods with the `exp' Approximation

S. J. Hamilton, J. L. Mueller, T. R. Santos

Objective: Absolute images have important applications in medical Electrical Impedance Tomography (EIT) imaging, but the traditional minimization and statistical based computations…

math.NA2016

Incorporating a Spatial Prior into Nonlinear D-Bar EIT imaging for Complex Admittivities

Sarah Jane Hamilton, Jennifer L. Mueller, Melody Alsaker

Electrical Impedance Tomography (EIT) aims to recover the internal conductivity and permittivity distributions of a body from electrical measurements taken on electrodes on the sur…

math.NA2015★ 5 cited

A D-bar Algorithm with A Priori Information for Electrical Impedance Tomography

Melody Alsaker, Jennifer L. Mueller

A method for including a priori information in the 2-D D-bar algorithm is presented. Two methods of assigning conductivity values to the prior are presented, each corresponding to…

math.NA2014

A Real-time D-bar Algorithm for 2-D Electrical Impedance Tomography Data

Melody Dodd, Jennifer L. Mueller

The aim of this paper is to show the feasibility of the D-bar method for real-time 2-D EIT reconstructions. A fast implementation of the D-bar method for reconstructing conductivit…

math.AP2013★ 2 cited

The Novikov-Veselov Equation: Theory and Computation

Ryan Croke, Jennifer L Mueller, Michael Music +3

Recent progress in the theory and computation for the Novikov-Veselov (NV) equation is reviewed with initial potentials decaying at infinity, focusing mainly on the zero-energy cas…