nikolayyavich

Nikolay Yavich

Senior Research Scientist
Research Center in Artificial Intelligence in the Direction of Optimization of Management Decisions to Reduce Carbon Footprint

I am an applied mathematician with expertise in several areas including large-scale numerical modeling, high-performance computing, fast solvers, inverse problems, computational geophysics, and biomedical imaging.

I have got my Ph.D. from the University of Houston, focused on preconditioned iterative solvers for anisotropic problems. I am currently a senior research scientist at Skoltech working on data-driven methods for forward and inverse geophysical modelling.

I am also the author and lecturer of the original course Advanced Solvers for Numerical PDEs.

Data-driven methods for geophysics and geoscience.

Computational methods for PDEs: flow in porous media, diffusion/potential problems, electromagnetics, elasticity,

Development of fast forward and inverse modelling algorithms.

* N. Yavich et al, A physics-inspired neural network for short-wave radiation parameterization, Journal of Inverse and Ill-posed Problems

* N. Yavich, V. Golubev, N. Khokhlov, Fast Parallel Solver of Time-harmonic Wave Equation with Topography,  Lobachevskii Journal of Mathematics 45 (1), 346-352.

* N. Yavich et al, Conservative Finite Element Modeling of EEG and MEG on Unstructured Grids,  in IEEE Transactions on Medical Imaging, doi: 10.1109/TMI.2021.3119851.

* N.Yavich, N. Khokhlov, M. Malovichko, M. Zhdanov, Contraction Operator Transformation for the complex Heterogeneous Helmholtz Equation, Computers and Mathematics with Applications, 86 (2021) 63–72, doi.org/10.1016/j.camwa.2021.01.018

 * A. Razorenova, N. Yavich et al, Deep learning for non-invasive cortical potential imaging, in MLCN workshop MICCAI, 2020 doi.org/10.1101/2020.06.15.151480

 * N.Koshev, N.Yavich et al, FEM-based Scalp-to-Cortex EEG data mapping via the solution of the Cauchy problem, Journal of Inverse and Ill-posed Problems, 28(4), 2020 doi.org/10.1515/jiip-2019-0065

* N.Yavich, M.Zhdanov, Finite-element EM modelling on hexahedral grids with an FD solver as a pre-conditioner, Geophysical Journal International 223 (2), 840-850, 2020 doi.org/10.1093/gji/ggaa341

* N.Yavich et al, Parallel simulation of audio-and radio-magnetotelluric data,  Minerals 10 (1), 42.

* N Yavich, MS Zhdanov, Contraction pre-conditioner in finite-difference electromagnetic modelling,  Geophysical Journal International 206 (3), 1718-1729, 2016.

* N. Khokhlov, N. Yavich et al, Solution of large-scale seismic modeling problems, Procedia Computer Science 66, 191-199, 2015.