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Mariia Filipkovska
Ph.D. (Physical and Mathematical Sciences)
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First affiliation:
Institute for Analysis and Scientific Computing, Technische Universit¨at Wien (TU Wien),
Karlsplatz 13, 1040 Vienna, Austria
Second affiliation:
Department of Mathematical Physics, Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine (B. Verkin ILTPE of NAS of Ukraine),
Nauky Avenue 47, 61103 Kharkiv, Ukraine |
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E-mail: mariia.filipkovska@asc.tuwien.ac.at
filipkovskaya@ilt.kharkov.ua
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LIST OF
PUBLICATIONS
CURRICULUM VITAE |
RESEARCH INTERESTS
Theory (solvability, stability, control, qualitative analysis and long-time behavior) and numerical
methods (development, analysis and implementation in MATLAB) for
- differential-algebraic equations (DAEs) (DAEs are also
called descriptor systems, degenerate differential equations and
dynamical systems on manifolds);
- partial differential equations (PDEs) and partial differential-algebraic equations (PDAEs).
Applications: theoretical and numerical analysis of mathematical models of electrical, gas, transport
and neural networks, as well as other models in the form of DAEs, PDEs and PDAEs. Analysis of
integrable PDEs arising in nonlinear optics |