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Picture of Mikhail Stepanov

Mikhail Stepanov

Member of the Graduate Faculty | Associate Professor, Applied Mathematics - GIDP | Associate Professor, Mathematics

Research Area

error correction, physics-informed modeling, numerical methods, nonlinear dynamics, quantum physics, ferroelectric materials, charged particles, electromagnetism, crystallography, spatial correlations

Network Adaptability from WMD Disruption and Cascading Failures
2011·$190.2K·
External
Principal Investigator (PI)
network resilience, disaster response, critical infrastructure, emergency management, system interdependencies
Frontiers in Nonlinear Waves
2010·$5.3K / $40K·
External
Co-Investigator (COI)
nonlinear waves, frontiers, wave dynamics, nonlinear dynamics, wave phenomena
Asymptomatic Performance Error Correcting Codes
2008·$88.6K·
External
Principal Investigator (PI)
error correction, performance analysis, asymptomatic behavior, coding theory, computational efficiency

Recent

Eight-stage pseudo-symplectic Runge-Kutta methods of order 4, 8)

2023

numerical methods, symplectic integration, runge-kutta methods, mathematics, computational science

Embedded 4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property

2022

numerical methods, embedded systems, differential equations, nonlinear dynamics, computational mathematics

Physics-informed machine learning with smoothed particle hydrodynamics: Hierarchy of reduced Lagrangian models of turbulence

2022

physics-informed machine learning, smoothed particle hydrodynamics, lagrangian models, turbulence, physics-informed modeling

Lagrangian Large Eddy Simulations via Physics Informed Machine Learning

2022

computational fluid dynamics, machine learning, fluid dynamics, lagrangian simulations, physics-informed modeling

Finding weak spots in LDPC codes with iterative decoding

2021

error correction, ldpc codes, iterative decoding, signal processing, information theory

Quantum properties of charged ferroelectric domain walls

2015

quantum physics, ferroelectric materials, charged particles, electromagnetism, crystallography

Analysis of spatial correlations in a model two-dimensional liquid through eigenvalues and eigenvectors of atomic-level stress matrices

2015

spatial correlations, liquid dynamics, eigenvalues, eigenvectors, atomic-level stress

Polytope of correct linear programming) decoding and low-weight pseudo-codewords

2011

Exact and efficient algorithm to discover extreme stochastic events in wind generation over transmission Power Grids

2011

Predicting failures in power grids: The case of static overloads

2011

Michael Chertkov
Xubin Zeng
Bo Guo
Ildar Gabitov
Leonid Friedlander

Algorithms of Applied Mathematics II
Advanced Applied Analysis
Numerical Analysis
Calculus II
Calculus I

Page 1 of 3

4+ Collaborators

$284.1K / $318.8K Funding

30+ Publications