Systems of elliptic equations, boundary element method, artificial intelligence, data science and problems of machine learning.
- Muzychuk Yu. On the boundary integral equation method for exterior boundary value problems for infinite systems of elliptic equations of special kind / Yu. Muzychuk // Journal of Computational and Applied Mathematics. – 2016. – № 2 (122) – P. 40-54.
- Litynskyy S. On the Numerical Solution of the Initial-Boundary Value Problem with Neumann Condition for the Wave Equation by the Use of the Laguerre Transform and Boundary Elements Method / S. Litynskyy, Yu. Muzychuk, A. Muzychuk // Acta Mechanica et Automatica. – 2016. – Vol. 10. № 4. – P. 285-290.
- Muzychuk Yu. On Green’s function in boundary elements method for some infinite triangular system of elliptic equations / Yu. Muzychuk / XX-th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). Lviv, Ukraine, September 21-24, 2015. – P. 147-150.
- Muzychuk Yu. A. On variational formulations of inner boundary value problems for infinite systems of elliptic equations of special kind / Yu.A. Muzychuk, R.S. Chapko // Matematychni Studii. – 2012. – 38. – P. 12–34.
|2015||Ivan Franko National University of Lviv.
Candidate of Science (comparable to the Academic Degree of Doctor of Philosophy), 01.01.07 – Computational Mathematics
|2010-2013||Ivan Franko National University of Lviv.
Postgraduate student of the Faculty of Applied Mathematics and Informatics.
Thesis topic: Numerical solution of boundary value problems for some infinite triangular systems of elliptic equations (01.01.07 – Computational Mathematics).
Scientific adviser: Prof. Dr. Roman Chapko
|2005-2010||Ivan Franko National University of Lviv.
Master’s Degree, Informatics
Thesis topic: Solution of boundary value problems for some infinite system of elliptic equations