3 papers
math.NA2022
PDE-constrained optimization for electroencephalographic source reconstruction
M. S. Malovichko, N. B. Yavich, A. M. Razorenova +1
This paper introduces a novel numerical method for the inverse problem of electroencephalography(EEG). We pose the inverse EEG problem as an optimal control (OC) problem for Poisso…
q-bio.NC2019
FEM-based Scalp-to-Cortex data mapping via the solution of the Cauchy problem
Nikolay Koshev, Nikolay Yavich, Mikhail Malovichko +2
We propose an approach and the numerical algorithm for pre-processing of the electroencephalography (EEG) data, enabling to generate an accurate mapping of the potential from the m…
math.AP2018
A numerical method to solve a phaseless coefficient inverse problem from a single measurement of experimental data
Michael V. Klibanov, Nikolay A. Koshev, Dinh-Liem Nguyen +3
We propose in this paper a globally numerical method to solve a phaseless coefficient inverse problem: how to reconstruct the spatially distributed refractive index of scatterers f…