+38 (032) 258-23-68
79013, Lviv 13, Mytropolyta Andriiya str., academic building IV, room 213
pm.dept@lpnu.ua
79013, Lviv 13, Mytropolyta Andriiya str., academic building IV, room 213
+38 (032) 258-23-68
pm.dept@lpnu.ua
Завідувачі кафедрою "Прикладна математика"

Bohdan Mykhailovych Markovych
2022 – present — Head of the Department of Applied Mathematics at the National University “Lviv Polytechnic”, Doctor of Physical and Mathematical Sciences (2019), Professor of the Department of Applied Mathematics (2020)
Bohdan Markovych was born on November 10, 1977, in Lviv. In 1994, he graduated with a gold medal from Lviv Secondary School No. 23. That same year, he entered the Faculty of Physics at Ivan Franko National University of Lviv, graduating with honors in 1999. From December 1999 to November 2002, he studied in graduate school at the National University “Lviv Polytechnic” under the supervision of Professor Kostrobyi P. P. From 2002 to 2005, he worked as an assistant professor at the Department of Applied Mathematics at Lviv Polytechnic. In 2004, he defended his dissertation titled 'Thermodynamic and Structural Characteristics of Inhomogeneous Electron Gas' (supervisor: Prof. Kostrobyi P. P.) for the degree of Candidate of Physical and Mathematical Sciences in the specialty of 01.04.02 – Theoretical Physics (defense held at the Institute of Condensed Matter Physics of the National Academy of Sciences of Ukraine). From 2005 to 2019, he worked as an associate professor at the Department of Applied Mathematics at Lviv Polytechnic. In 2007, he was awarded the academic title of 'Associate Professor of Applied Mathematics.' In 2019, he defended his dissertation titled 'Quantum-Statistical Description of Equilibrium Characteristics and Diffusion Processes in Spatially Confined Metallic Systems' (scientific consultant: Prof. Kostrobyi P. P.) for the degree of Doctor of Physical and Mathematical Sciences in the specialty of 01.04.02 – Theoretical Physics (defense held at the Institute of Condensed Matter Physics of the National Academy of Sciences of Ukraine). From 2019 to 2022, he worked as a professor at the Department of Applied Mathematics at Lviv Polytechnic. In 2020, he was awarded the academic title of 'Professor of the Department of Applied Mathematics.' Since 2022, he has been the head of the Department of Applied Mathematics at Lviv Polytechnic.
In 2012, he received the National Academy of Sciences of Ukraine Award for Young Scientists for the cycle of works 'Quantum-Statistical Description of the Properties of Non-transition Metals with a Surface of Division.' In 2012, he was named the best young scientist of the year at the Institute of Applied Mathematics and Fundamental Sciences of the National University “Lviv Polytechnic.” In the same year, he was awarded a Certificate of Merit from Lviv Polytechnic for significant achievements in educational and scientific work. In 2020, he received the University Badge for significant contributions to scientific work.
Since 2014, he has been the scientific editor and responsible secretary of the international scientific journal 'Mathematical Modeling and Computing,' whose articles are indexed in the Scopus scientific database and, since 2020, are classified in Q3 quartile. From 2004 to 2010, he served as the head of the section at the Institute of Applied Mathematics and Fundamental Sciences of the Council of Young Scientists, and from 2010 to 2012, he chaired the Council of Young Scientists at Lviv Polytechnic.
During his time at the Department of Applied Mathematics, he has conducted laboratory work in programming, practical sessions in systems theory, mathematical modeling, and control theory, as well as lectured on mathematical physics equations, control theory, and quantum computers. He supervises bachelor’s and master’s theses and PhD programs. He has published three educational manuals and one textbook, as well as nine electronic learning and methodological complexes. He is an expert at the National Agency for Higher Education Quality Assurance for the specialties 113 – Applied Mathematics and 104 – Physics and Astronomy, having participated in the accreditation of eight educational programs.
His scientific interests include quantum mechanics, statistical physics of many-particle systems, microscopic theory of metals, and nonequilibrium processes. He has co-authored four monographs, 60 research papers, and approximately 100 abstracts and conference materials of various levels. He has been an opponent for one doctoral dissertation and four candidate dissertations. He has been involved in five state-funded projects, as well as various commercial contracts with the Western Scientific Center of the National Academy of Sciences of Ukraine and the Ministry of Education and Science of Ukraine. He was an executor of the INTAS grant Ref. Nr 04-78-7183 'A Field Ionization Sensitive Detector for Neutral Molecular Beams' (2005–2007) and participated in the joint Ukrainian-Austrian project 'Selective Retrospective Analysis of Greenhouse Gas Emission Inventories of Ukraine and Austria to Comply with Mid-Term Climate Agreements' (2019–2020, Ministry of Education and Science of Ukraine Agreement No. M-46-2019 dated May 29, 2019).

Petro Petrovych Kostrobiy
2003—2022 — Head of the Department of Applied Mathematics at the National University ‘Lviv Polytechnic’. Doctor of Physical and Mathematical Sciences (2009), Professor (1999).
Petro Kostrobiy was born on December 19, 1949, in the village of Bohorodchany, Bohorodchany District, Ivano-Frankivsk region. In 1966, he graduated with a gold medal from Secondary School No. 2 in Ivano-Frankivsk. That same year, he entered the Faculty of Physics at Ivan Franko Lviv State University, graduating in 1971.
From December 1971 to November 1974, he studied in the graduate school at the Lviv Branch of the Institute of Theoretical Physics (ITF) of the Academy of Sciences of the Ukrainian SSR. His scientific supervisor was the outstanding scientist in the field of statistical physics of condensed systems, now the academician of the National Academy of Sciences of Ukraine, Ihor Rafailovych Yukhnovskyi. In November 1975, he defended his candidate dissertation in the specialty 'Theoretical and Mathematical Physics' at the ITF of the Ukrainian SSR Academy of Sciences, becoming a Candidate of Physical and Mathematical Sciences in March 1976.
From September 1979, after winning a competition, Petro Kostrobiy began his scientific and pedagogical activity at the Department of Higher Mathematics of Lviv Polytechnic Institute as a senior lecturer, associate professor (since 1983), and professor (since 1999). While working at Lviv Polytechnic, he completed and defended his doctoral dissertation in 2009. After defending his doctoral dissertation, he continued his active scientific work on the development of a statistical theory of reaction-diffusion processes in ‘metal–gas’ systems. New approaches proposed by P.P. Kostrobiy together with M.V. Tokarchuk have been effectively used in solving a number of problems in the quantum-statistical theory of thin-film metallic systems (together with B.M. Markovych), the study of proposed mathematical models of catalytic-diffusion processes on metallic catalysts (together with V.I. Alekseyev and I.A. Ryzhyi), and electro-diffusion processes in solid-state batteries (together with O.V. Viznovych, M.V. Tokarchuk, B.M. Markovych). The results of this work have been published in more than 200 scientific papers and four scientific monographs. The development of this topic led to increased cooperation with academic institutions of the National Academy of Sciences of Ukraine (Institute of Theoretical Physics named after M. Bogolyubov, Institute of Condensed Matter Physics, Institute of Applied Problems of Mechanics and Mathematics named after Y. Pidstryhach, Center for Mathematical Modeling of the IPPMM NAS of Ukraine). As a result of this cooperation, branches of the department were created at the IPPMM and IFCS. This allowed leading scientists from these institutions to be involved in teaching and supervising master’s students and PhD candidates.
His active scientific activity has been recognized with an honorary certificate from the Cabinet of Ministers (2017) and an award from the Ministry of Education and Science of Ukraine 'For Scientific Achievements' (2019).
Petro Kostrobiy is a member of the Expert Council on Mathematical and Natural Sciences of the Ministry of Education and Science of Ukraine, a member of two specialized Academic Councils for defending doctoral dissertations (in the DO35.052.06 council – the leading expert in the specialty 01.05.02 – 'Mathematical Modeling and Computational Methods'). He is also the deputy editor-in-chief of the English-language scientific journal 'Mathematical Modeling and Computing'.
Under his guidance, 1 doctoral and 7 candidate dissertations have been defended.
From June 1991 to September 2005, P.P. Kostrobiy worked as Vice-Rector for Educational Work (1991–1993) and First Vice-Rector (1993–2005) of Lviv Polytechnic. During his time in these positions, he actively participated in the work of reforming the higher education system of Ukraine. Under his direct leadership, the multi-level system (bachelor–specialist, master’s) of training specialists was first implemented in Ukraine at Lviv Polytechnic. He developed and implemented the concept of training military specialists in civilian higher education institutions; created the department of military training (now the Academy of Land Forces of the Ukrainian Armed Forces); and developed and implemented the concept of educational-scientific institutes. As a member of the author teams, he participated in the development of the first Ukrainian Law 'On Higher Education,' as well as ministerial regulations on 'Higher Educational Institutions,' 'Multi-level System of Specialist Training,' 'Organization of the Educational Process,' and others.
For his significant contribution to the work of reforming higher education in Ukraine, P. Kostrobiy was awarded the title 'Honored Worker of Education' in 2003, the Ministry of Education and Science of Ukraine Badge 'Petro Mohyla' (2005), and numerous honorary certificates from the Ministry of Education and Science of Ukraine.
He actively participated in the development of educational standards for the specialty 'Applied Mathematics' at the Ministry of Education and Science of Ukraine and was a repeated member of the Expert Council of the Higher Attestation Commission of Ukraine (2002–2010) and a member of the MNC 'Applied Mathematics' (2002–2008).
The pedagogical talent of Petro Kostrobiy is evident in his lectures, practical classes, textbooks, and manuals on general and special courses in mathematics.

Mykhailo Ivanovych Khudyy
1990—2000 — Head of the Department of Applied Mathematics at Lviv Polytechnic Institute. Candidate of Physical and Mathematical Sciences (1972), Associate Professor (1975).
Mykhailo Khudyy was born on December 8, 1939, in the village of Smilnyk, Lyskiv district, Rzeszów Voivodeship (Poland). In May 1946, his family was relocated to the Zaliichytsky district of the Ternopil region, and in 1950, they moved to the city of Sambir, Lviv region. From 1953 to 1957, he studied at the Sambir Pedagogical College, graduating with honors. From 1957 to 1962, he studied at the Mechanics and Mathematics Faculty of Ivan Franko Lviv State University, specializing in mathematics, earning the qualification of a mathematician-computer specialist, and was assigned as a mathematics teacher at Boryn Middle School, Turka district.
From 1963 to 1968, he worked as an assistant at the Department of Higher Mathematics of Lviv Polytechnic Institute. From 1968 to 1971, he studied in graduate school at Lviv Polytechnic Institute specializing in 'Algebra and Number Theory,' under the supervision of Professor Kazimirski P.S., and upon completion, he defended his candidate dissertation on the algebra of matrix polynomials. Since 1971, he worked at the Department of Applied Mathematics, first as an assistant, then senior lecturer (since 1972), and associate professor (since 1975).
From 1990 to 2000, while heading the department, Mykhailo Khudyy paid considerable attention to the development of the close cooperation that had begun in the 1980s with academic institutions of the Academy of Sciences of the Ukrainian SSR (now NAS of Ukraine). During this period, joint scientific research started with scientists from the Physico-Mechanical Institute and the State Research Institute of Information Infrastructure of the NAS of Ukraine in the area of mathematical theory of pattern recognition and the development of methods for parallel computation in computer systems. During this time, the training of specialists in 'social informatics' also began. Professors Hrytsyk V.V., Oseredchuk V.A., Bodnar D.I., and PhD in Physics and Mathematics Kaminsky R.M. were invited to lecture and supervise postgraduate students in this field.
Mykhailo Khudyy conducted scientific work on the topic 'Solving matrix equations of polynomial type' and published more than 60 scientific papers on this subject.
Since 1978, he served as the Deputy Dean of the Electrophysical Faculty, and since 2001, as the Dean of the Basic Education Department at the Institute of Applied Mathematics and Fundamental Sciences. He also chaired the State Examination Commission in the specialty 'Mathematics' at Drohobych Pedagogical Institute on several occasions.

Roman Petrovych Basilevich
1984—1990 — Head of the Department of Applied Mathematics at Lviv Polytechnic Institute, Doctor of Technical Sciences, Professor
A scientist in the field of computer science, Academician of the Academy of Engineering Sciences of Ukraine, full member and chairman of the Computer Science and Cybernetics Commission of the Shevchenko Scientific Society, senior member of the American Computer Association (ACM), Fellow of the Institution of Electrical Engineers (IEE), United Kingdom. He founded one of the first software engineering departments at Lviv Polytechnic, organizing and leading the department. He created his own scientific school in the field of computer design and mathematical modeling. He has trained 14 candidates of sciences, two of whom have defended doctoral dissertations. The methods proposed and developed by him for solving complex combinatorial problems and computer design (optimal circuit folding, hierarchical placement with multi-level optimization of scan areas, flexible routing, synthesis of planar layouts, traveling salesman problem) were years ahead of similar research by other scientists and became widely recognized. These methods are now used by leading global companies and have been included in educational textbooks. Under his scientific supervision, 72 research projects were completed, including those for the Science and Technology Committee of Ukraine, the Ministry of Education of Ukraine, the Ministry of Defense of Ukraine, the French-Ukrainian "Dnipro" program, and numerous leading scientific and production organizations. He was the winner of the INTEL scientific project competition. He served as an expert for the European Commission on computer science issues. He completed a fellowship at Harvard University under the U.S. government’s Fulbright program and conducted research at the University of California, San Diego. He has delivered scientific presentations at many leading universities and research organizations in the USA, France, and Poland (INTEL Strategic CAD Labs in Portland, IBM Austin Research Lab, CADENCE in San Jose, the Center for Advanced Computer Science Research in Delhi). He initiated and chaired several conferences: on automated design, current problems in computer science, and five international conferences on the issue of Ukrainianization of computers. From 1990 to 2001, he served as the Head of the Department of Software Engineering at Lviv Polytechnic, and since 2001, he has been a Professor at the same department.
Honored Worker of Science and Technology of Ukraine. Honorary Professor of Lviv Polytechnic National University.

Roman Volodymyrovych Slonovsky
1971—1984 — Head of the Department of Applied Mathematics at Lviv Polytechnic Institute. Founder of the Department of Applied Mathematics. Doctor of Physical and Mathematical Sciences (1992), Professor (1993).
Born on July 24, 1930, in the village of Chulovychy, Horydotskyi district, Lviv region. He studied at Lviv State University named after Ivan Franko, graduating in 1952 with a specialization in mathematics. After graduation, in 1954, he became an assistant at the Department of Higher Mathematics. He was particularly interested in the development of programming, a new field at that time. In 1960, he completed advanced training courses in algorithmic languages and programming, and in 1963, he was promoted to the position of Senior Lecturer at the Department of Higher Mathematics. During this time, Roman Volodymyrovych was interested in mathematical modeling of natural processes and the possibilities of numerical data processing. Thus, he was at the origin of the creation of the new department, which he later headed, despite not holding a scientific title at that moment.
In 1966, he was appointed Associate Professor at the Department of Higher Mathematics. He defended his candidate dissertation in 1973. In 1975, he became an Associate Professor at the Department of Applied Mathematics. From 1976, Roman Volodymyrovych became the co-leader of an interdepartmental scientific seminar, where young scientists could present and discuss their results. This allowed for the organization of postgraduate training in the specialty 'Computational Mathematics.' In 1990, by the rector’s order, he was appointed Professor of the Department of Applied Mathematics. In 1992, he defended his doctoral dissertation on constructing efficient fractional-rational numerical methods for solving stiff systems of ordinary differential equations. In 1993, he was awarded the title of Professor by the Higher Attestation Commission (HAC). Under his leadership, 6 candidate theses were defended in the specialty 'Computational Mathematics.'
Until his death on January 11, 2010, he worked as a Professor at the Department of Applied Mathematics and remained a mentor for young scholars.
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