Maria Filipkovska

Maria Filipkovska
Postdoctoral Researcher
Grant support researchers from Ukraine, Alexander von Humboldt Foundation
  Room 03.334 | Friedrich-Alexander-Universität Erlangen-Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
  +49 9131 85-67143

  My Publications at FAU-CRIS

I am a postdoctoral researcher at the Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship. My research proposal is financed by a special grant to support researchers from Ukraine made available within the framework of the Alexander von Humboldt Professorship of Prof. Enrique Zuazua, that was bestowed by the Alexander von Humboldt Foundation and is funded by the German Federal Ministry of Education and Research.

Before, I collaborated as a visiting scientist supported by the Scholarship of the Collaborative Research Center TRR154, at the SFB TRR154 Transregio project: Mathematical modelling, simulation and optimization using the example of gas networks (May-June 2022) at FAU DCN-AvH.

I studied at the V.N. Karazin Kharkiv National University (Kharkiv, Ukraine) and got my Master degree (M.Sc. in Applied Mathematics) in 2012 and my Doctoral degree (PhD. in Physical and Mathematical Sciences) in 2016.

The areas of my research (research experience):
1. Differential-algebraic equations (DAEs are also called degenerate differential equations, descriptor systems and operator-differential equations): the theory, numerical methods and applications;
2. Nonlinear integrable PDEs (in particular, the Maxwell-Bloch equations) and the associated matrix Riemann-Hilbert problems: the theory and applications.
Generally, my research interests include mathematics and its applications in the natural sciences and engineering.
 PhD Thesis: Global solvability of differential-algebraic equations and mathematical modelling of the dynamics of nonlinear radio engineering circuits (February 2016)


• December 1, 2023. Lagrange and Lyapunov stability of degenerate differential equations. Julius-Maximilians-Universität Würzburg (Germany)
• September 4-9, 2023. Qualitative analysis of nonregular differential-algebraic equations and applications in the gas dynamics. XIII International Conference of the Georgian Mathematical Union, GMU2023. Batumi (Georgia)
• August 2022. Analysis off gas networks using mathematical models in the form of differential algebraic equations. IX Partial differential equations, optimal design and numerics. Benasque (Spain).




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