Michail Todorov
Michail Todorov | |
|---|---|
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| Residence | Sofia, Bulgaria |
| Nationality | Bulgarian |
| Alma mater | Sofia University "St. Kliment Ohridski" |
| Known for | nonlinear boundary-value and eigen-value problems, vector Schrodinger equation |
| Scientific career | |
| Fields | Applied mathematics, numerical analysis |
| Institutions | Technical University of Sofia |
| Doctoral advisor | Christo I. Christov |
Michail Dimov Todorov is a Bulgarian applied mathematician and professor at the Technical University of Sofia, where he chairs the Department of Mathematical Modeling and Numerical Methods in the Faculty of Applied Mathematics and Informatics. He is known for his work on the numerical analysis of solitons, nonlinear and spectral phenomena, and nonlinear boundary-value and eigenvalue problems.
Biography
Todorov graduated in mathematics in 1984 and received his Ph.D. in 1989 from Sofia University "St. Kliment Ohridski", with a dissertation titled Numerical investigation of separated inviscid flows under the supervision of Christo I. Christov. Since 1990 he has held academic appointments at the Technical University of Sofia, serving as Associate Professor and, from 2012, as Full Professor in the Department of Applied Mathematics and Computer Science (Faculty of Applied Mathematics and Informatics).
He has held a number of visiting and research positions abroad, including Senior Research Fellow at the Joint Institute for Nuclear Research in Dubna, Russia (2004), and Visiting Professor and Scholar at the University of Texas at Arlington (2008, 2009, 2011) and Texas A&M University (2011).
Work
Todorov's research centers on scientific computing and the numerical treatment of nonlinear and spectral problems. His work includes numerical methods for nonlinear and eigenvalue boundary-value problems, inviscid separated flows and high-Reynolds-number Navier-Stokes equations, Josephson junctions, nonlinear optics, and wave phenomena.
A significant part of his work concerns the numerical analysis of solitons and solitary waves. He has studied solitary waves as solutions of linearly coupled nonlinear Schrodinger equations, examining collision dynamics for various initial phases and polarizations and the interaction of superposed one-soliton solutions. He is the author of the monograph Nonlinear Waves: Theory, Computer Simulation, Experiment (IOP Publishing / Morgan & Claypool, 2018).
His teaching has covered linear algebra, differential equations, numerical modeling with partial differential equations, theoretical mechanics, probability and statistics, theoretical electrodynamics, and nonlinear optics and wave phenomena.