Malachivskyy Petro

 

Position: Head of Laboratory

Scientific degre: doctor of sciences

Scientific title: Professor

E-mail: petro.malachivskyy@gmail.com

 

Scientific proffiles:

ORCID: https://orcid.org/0000-0002-2745-3208

Scopus:

https://www.scopus.com/authid/detail.uri?authorId=52263980900

Google Scholar: https://scholar.google.com/citations?user=XerfvEkAAAAJ&hl=uk

 

Born on August 27, 1954, in the village of Chyshky near Lviv, close to the picturesque town of Vynnyky. After graduating from Chyshky Secondary School, from 1971 to 1976 he studied at the Faculty of Automation of Lviv Polytechnic, majoring in Applied Mathematics.

In 1976, after obtaining the qualification of engineer-mathematician, he was assigned to work at the Computing Center of the Lviv Branch of Mathematical Physics of the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR (since 1992 — the Center for Mathematical Modeling of the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine). He worked in various engineering and research positions; from 1990 to 1995 he headed the Department of Informatics and Computational Methods. Subsequently, he served as Senior Researcher, from 2009 as Leading Researcher, and since June 2019 as Head of the Department of Mathematical Modeling of Nonequilibrium Processes. Since 2022, following the liquidation of the Center for Mathematical Modeling, he has been Head of the Laboratory of Mathematical Modeling of Nonequilibrium Processes at the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine. In addition, he is a part-time Professor at the Department of Computer Technologies in Publishing and Printing Processes at Lviv Polytechnic National University.

Since 1987, he has held the degree of Candidate of Technical Sciences (PhD equivalent) in specialty 05.13.11 — Mathematical and Software Support of Computing Machines and Systems; since 2009, Doctor of Technical Sciences in specialty 01.05.02 — Mathematical Modeling and Computational Methods. He was awarded the academic title of Senior Research Fellow in 2000 and Professor in 2011.

Research interests:

Main results:

He is currently a member of two specialized academic councils for the defense of doctoral and candidate dissertations, a member of program committees of several international scientific and practical conferences, and a member of the editorial boards of three peer-reviewed scientific journals. He is also the Editor-in-Chief of the scientific collection Computer Technologies of Printing, published by Lviv Polytechnic National University.

He is the author of 189 scientific publications, including 2 monographs, 1 textbook, and 3 teaching manuals, as well as 6 inventor’s certificates.

 

Main scientific publications:

Monograph:

~ Малачівський П. С., Скопецький В. В. Неперервне й гладке мінімаксне сплайн-наближення – К. : Наук. думка, 2013. – 270 с.

Textbook:

~  Яцук В. О., Малачівський П. С. Методи підвищення точності вимірювань: Підручник – Львів: Видавництво: "Бескид Біт", 2008. – 368 с.

Teaching manuals:

~        Малачівський П. С., Пізюр Я. В. Розв’язування задач в середовищі Maple – Львів: Видавництво: “РАСТР – 7”. – 2016. – 282 с.

~        Малачівський П. С. Програмування в середовищі Visual Basic. – Львів: Видавництво "Бескид Біт", 2004. – 260 с.

Articles:

~        P. S. Malachivskyy, L. S. Melnychok and Ya. V. Pizyur Chebyshev Approximation by Gompertz Function. Journal of Mathematical Sciences, Vol. 287, No. 2, January, 2025. Р. 216–222. https://doi.org/10.1007/s10958-025-07586-7.

~        Malachivskyy P.S., Melnychok L.S., Pizyur Y.V. Chebyshev Approximation of Multivariable Functions by a Power Expression. Cybernetics and Systems Analysis. 2024. Vol. 60, No. 4. Р. 571–578. https://doi.org/10.1007/s10559-024-00967-0.

~        Malachivskyy P. S., Melnychok L. S., Pizyur Y. V. Chebyshev Approximation of Multivariable Functions with Reproduction Values of the Function and its Partial Derivatives. Cybernetics and Systems Analysis. 2023. Vol. 59, No. 4. Р. 660–671. https://doi.org/10.1007/s10559-023-00601-2.

~        Malachivskyy P.S., Melnychok L.S., Pizyur Y.V. Chebyshev Approximation of Multivariable Functions by a Logarithmic Expression. Cybernetics and Systems Analysis. 2023. Vol. 59, No. 2. Р. 317–324. https://doi.org/10.1007/s10559-023-00565-3

~        Malachivskyy P. S., Melnychok L. S., Pizyur Y. V. Chebyshev Approximation of Multivariable Functions by a Constrained Rational Expression / Cybernetics and Systems Analysis, Vol. 59. – No. 1, 2023. – Рp. 146–159. https://doi.org/10.1007/s10559-023-00552-8

~        Малачівський П. С., Мельничок Л. С. Пізюр Я. В. Чебишовське наближення функцією Ґомперца // Математичні методи та фізико-механічні поля. 2022. – 65, № 3-4. – С. 95-100. https://doi.org/10.15407/mmpmf2022.65.3-4.95-100

~        Malachivskyy P., Melnychok L., Pizyur Ya. Chebyshev Approximation  of Multivariable Functions with the Interpolation // Mathematical Modeling and Computing, Vol. 9, No. 3, pp. 757–766  (2022).  https://doi.org/10.23939/mmc2022.03.757

~        Verlan A. F., Malachivskyy P. S., Pizyur Y. V. Solving the Problem of Interpreting Observations Using the Spline Approximation of the Scanned Function / Cybernetics and Systems Analysis, Vol. 57. – No. 4, 2021. – Рp. 584–591. DOI https://doi.org/10.1007/s10559-021-00383-5

~        Malachivskyy P. S., Melnychok L. S., Pizyur Y. V. Chebyshev Approximation of Multivariable Functions by The Exponential Expression / Cybernetics and Systems Analysis, Vol. 57. – No. 3, 2021. – Рp. 429-435. https://doi.org/10.1007/s10559-021-00367-5

~        Malachivskyy P. S., Pizyur Y. V., Malachivskyi R. P. Chebyshev Approximation by a Rational Expression for Functions of Many Variables / Cybernetics and Systems Analysis, Vol. 56. – No. 5, 2020. – Рp. 811-819.  https://doi.org/10.1007/s10559-020-00302-0

~        Petro Malachivskyy, Lev Melnychok, Yaropolk Pizyur Chebyshev Approximation of the Functions of Many Variables with the Condition / 2020 IEEE 15th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT), 2020. Vol. 2. – Pp. 54-57. https://doi.org/10.1109/CSIT49958.2020.9322026.

~        Malachivskyy P. S., Pizyur Y. V., Malachivskyi R. P., Ukhanska O. M. Chebyshev approximation of functions of several variables / Cybernetics and Systems Analysis, Vol. 56. – No. 1, 2020. – Рp. 118-125. https://doi.org/10.1007/s10559-020-00227-8

~        Malachivskyy P., Pizyur Ya. Chebyshev approximation of the steel magnetization characteristic by the sum of a linear expression and an arctangent function // Mathematical Modeling and Computing. – Vol. 6. – No. 1. – 2019. – Pp. 77–84. https://doi.org/10.23939/mmc2019.01.077

~        Malachivskyy, P. S., Pizyur, Y. V., Andrunyk V. A. Chebyshev Approximation by the Sum of the Polynomial and Logarithmic Expression with Hermite Interpolation / Cybernetics and Systems Analysis. – Vol. 54. – No. 5. – 2018. – Pp. 765–770. https://doi.org/10.1007/s10559-018-0078-0

~        Malachivskyy, P. S., Matviychuk, Y. N., Pizyur, Y. V., Malachivskyi R. P. Uniform Approximation of Functions of Two Variables / Cybernetics and Systems Analysis. – Vol. 53. – No. 3. – 2017. – Pp. 426–431.  https://doi.org/10.1007/s10559-017-9943-5

~        Malachivskyy P. S., Pizyur Ya. V., Danchak N. V., Orazov E. B. Chebyshev Approximation by Exponential Expression With Relative Error / Cybernetics and Systems Analysis. – 2015. – Vol. 51, No. 2, – Pp. 286-290. https://doi.org/10.1007/s10559-015-9720-2

~        Bubela T., Stolyarchuk P., Malachivskyy P., Basalkevych O. Signal Simulation Electric Systems of Admittance Monitoring // Sensors & Transducers Journal. – 2013. – Vol. 155. – Issue 8.– Pp. 294-299.

~        Malachivskyy P. S., Pizyur Ya. V., Danchak N. V., Orazov E. B. Chebyshev Approximation by Exponential-Power Expression / Cybernetics and Systems Analysis, – 2013. – Vol. 49, Issue 6, – Pp. – 877-881. https://doi.org/10.1007/s10559-013-9577-1

~        Matviychuk Ya., Malachivskyy P., Hasko R. Electronic devices macromodels identification whis least squares and chebyshev approximation // Computationnal problem s of electrical engineering. – 2012. – Vol. 2. – N. 1. – P. 85-87.

~        Skopetskyy V., Malachivskyy P., Pizyur Ya. Approximation by a smooth interpolation spline / Cybernetics and Systems Analysis, – 2011. – Vol. 47, No. 5, – Pp. – 724-730. https://doi.org/10.1007/s10559-011-9351-1

~        Скопецький В. В., Малачівський П. С. Ермітова інтерполяція сумою полінома й нелінійного виразу // Доповіді НАН України. – 2010. – № 9. – С. 34-39.

~        Stolarczuk P., Yatsuk V., Majewski J., Małaczywski P., Michalewa M. Zastosowanie sensorów pojemnościowych do szybkiej kontroli parametrów roztworów wieloskładnikowych / Przegląd Elektrotechniczny. – 2010, R. 86, – nr 10. – S. 92-95.

~        Majewski J., Malachivskyy P., Andrunyk W. Software for approximation of sensor transfer function and its sensitivity function / Pomiary, Automatyka, Kontrola. – 2010. – R. 56, – nr 9. – S. 1107-1109.

~        Скопецький В. В., Малачівський П. С. Чебишовське наближення сумою многочлена й нелінійного виразу з ермітовим інтерполюванням у крайніх точках відрізка // Доповіді НАН України. – 2010. – № 4. – С. 42-47.

~        Скопецький В. В., Малачівський П. С. Чебишовське наближення за неповною системою степеневих функцій // Доповіді НАН України. – 2009. – № 4. – С. 39-44.

~        Skopetskii V. V., Malachivskii P. S.  Chebyshev approximation of functions by the sum of a polynomial and an expression with a nonlinear parameter and endpoint interpolation // Cybernetics and Systems Analysis, – January 2009, Volume 45, Issue 1, pp 58–68. DOI:10.1007/s10559-009-9078-4

~        Majewski J., Małacziwski P., Lozbin V. Przybliżenia charakterystyki czujnika niskich temperatur metodą minimaksu // Elektronika (XLIX), nr 6/2008. – S. 117-119.

~        Малачівський П. С. Чебишовське наближення сумою многочлена й експоненти з інтерполюванням у крайніх точках // Доп. НАН України. – 2008. – № 2. – С. 54 – 58.

~        Andrunyk V., Malachivskyy P., Pizyur Ya., Yatsuk V. Continuous and smooth minimax spline-approximation of sensor temperature characteristic and its sensitivity // Kongres metrologii. “Metrologia - narzędzie poznania i droga rozwoju”, Tom II, Kraków 9-13 września 2007 // Pomiary, automatyka, kontrola (PAK), vol. 53, nr 9bis 2007. S. 617-620.

~        Малачівський П. Градуювання вимірювальних приладів із найменшою відносною похибкою // Український метрологічний журнал. 2004. – № 3. – С. 12-14.