Mykhaylo Shcherbatyy

Position: Docent, Applied Mathematics Department

Scientific degree: Candidate of Physical and Mathematical Sciences

Academic status: Associate Professor

Phone (office): (032) 239-41- 78

Email: mykhaylo.shcherbatyy@lnu.edu.ua

Web page: ami.lnu.edu.ua

Research interests

RESEARCH INTERESTS
• Modeling and Optimization of Complex Systems with ODEs and PDEs Constraints
• Numerical and Variation Methods
• Sensitivity Analysis
• Adjoint Equations
• Finite Elements and Finite Differences Methods for PDE Systems
• Runge-Kutta and Multistep Methods for ODE Systems
• Non-Linear Programming
• System Analysis
• Surrogate Modeling and Optimization
• Statistical Modeling

Courses

Selected publications

Books

1. Ivankiv K.S., Shcherbatyy M.V. Mathematic modeling of biologic and ecology-economics processes. – Lviv: Lviv National University, 2005. – 154 p. (In Ukr.)
2. Shcherbatyy M.V., Ivankiv K.S. Instructions for Creation of Software for Solving the Koshi Problems by one Step Methods. – Lviv: Lviv State University, 1993. – 24 p. (In Ukr.)

Articles
(In English)
1. Savula Ya., Shcherbata H., Shcherbatyy M. Sensitivity Analysis of Solutions of Two-Dimensional Admixture Heterodiffusion Problems with Respect to Pertubation of Medium Parameters // Physico-Mathematical Modeling and Informational Technologies: Collected Articles. — Lviv: Centre Math. Modelling IAPMM NASU, 2014. —V. 19. — P. 157-167.
2. Savula Ya., Shcherbatyy M., Shcherbata H. Optimization of Infectious Disease Processes Modelled by Nonlinear Delay Differential Equations // Physico-Mathematical Modeling and Informational Technologies: Collected Articles. — Lviv: Centre Math. Modeling IAPMM NASU, 2010. —V. 11. — P. 169-178.
3. Savula Ya.H., Shcherbatyy M.V., Ivankiv K.S. Simulative approach to solution of optimal design problems of shell construction // J. of Appl. Comp. Science, Technical University, Lodz. Poland, 2005. –Vol. 12, No 2, 2004. – P. 87-106.
4. Shcherbatyy M.V., Ivankiv K.S. Formulation and Algorithm of Solution of Optimal Control Problems of Infectious Disease Processes Using Clinical And Laboratory Observed Data.// Visnyk Lviv Univ, Ser. Appl. Math. Comp. Sci. -Lviv, 1999. – No 1. – P. 296-299.

(In Ukrainian and Russian)
1. Shcherbata I., Shcherbatyy M. Economical-Mathematical Modeling of Rational Land Tenure of Region //Agrarian Economics. — V.6, №1-2. — 2013. — P. 120-126.
2. Shcherbatyy M. Sensitivity Analysis and Parameters Identification in Models of Dynamical Systems // Actual Problems Specialists Training in ICT (APSTICT-2013): Int. Conf. Proc., Part 2. —Khmelnytskyi, Ukraine.— 16-18 May, 2013. — P. 247-257.
3. Savula Ya.H., Shcherbatyy M.V., Мatsong Ya.Ye., Gerzhikova V.H., Zhylyakova T.A., Slastya Ye.А., Chernousova І.В., Semenchuk А.В. Mathematical Modeling of Must Fermentation Processes with Temperature Dependence Taken into Account. //J. Visnyk Ahrarnoyi Nauky. –Kyiv, 2005- №6. – P.51-57. (In Ukr.)
4. Shcherbatyy M., Voznyak N. Simulation of Computer Viruses Spreading in Technological Networks with Connectivity Parameters Influence Taking into Account. // Materials of 4nd Ukrainian-Polish Conf. “Environmental Mechanics, Methods of Computer Science, Simulation”. –Lviv: Center of Mathematical Modeling Pidstryhach Institute for Applied Problems Mechanics and Mathematics NAS of Ukraine. Publish. “Spolom”, 2004. – V.2. – P. 97-107.
5. Savula Ya.H., Shcherbatyy M.V. Mathematical Modeling of Grape Juice Fermentation Processes. // Visnyk Khersonskoho Derzavnoho Tekhnichnoho Universytetu. – Kherson: Ukraine, 2003.- V. 3 (19). – P. 377 – 380. (In Ukr.)
6. Shcherbatyy M., Мatsong Ya. Optimal Control and Parameters Identification of System of Ordinary Differential Equations. //Visnyk Lviv Univ, Ser. Appl. Math. Comp. Sci. – Lviv, 2003. –No 7. – P. 224-233. (In Ukr.)
7. Shcherbatyy M.V., Shcherbata I.V., Kharkiv N.V. Numerical Research of Potential Possibilities of Economic Development of Territory-Industrial Systems with Pollution of Environment Taken Into Account. // Visnyk Lviv Univ, Ser. Appl. Math. Comp. Sci.. -Lviv, 1999. – No 1. – P. 273-276. (In Ukr.)
8. Cherevko G.V., Gorbonos F.V., Shcherbatyy M.V. Economic-Technology Model of Cooperation in Agrarian-Industrial Complex // Economics of Agrarian-Industrial Complex. – Kiev, 1998.- №11. – P. 20-25. (In Ukr.)
9. Shcherbatyy M.V., Ivankiv K.S. Problems of Optimal Control of Infections Diseases Processes// Visnyk Lviv Univ, Ser. Appl. Math. And Informatics – Lviv, 1998. – No 50.-P. 103-106. (In Ukr.)
10. Shcherbatyy M.V., Ivankiv K.S. Comparative Characteristics of the Runge-Kutta Methods // Visnyk Lviv Univ, Ser. Appl. Math. and Informatics – Lviv, 1995. – No 42.-P. 82-87.(In Ukr.)
11. Shcherbatyy M.V. Free Oscillations Optimization of Compound Elastic Rotation Shells.// Visnyk Lviv Univ, Ser. Appl. Math. and Informatics – Lviv, 1995. – No 41. – P. 114-123. (In Ukr.)
12. Savula Ya.H., Shcherbatyy M.V. Sensitivity Analysis at the Optimal Design of Compound Shell Constructions. // Izvestija AN USSR, MTT. – 1990. -V. 1. – P.137-143. (In Rus.)
13. Mukha I.S., Savula Ya.H, Shcherbatyy M.V. Substructures Method of Shell Optimization Problems Based on Strength Conditions. – Mathem. Met. and Phys.-Mech. Fields.- Kiev, 1987, V. 25. – P. 66-71. (In Rus.)
14. Shcherbatyy M.V. Parametrical Optimization of Zero Gauss Curvature Shells. – Lviv, 1985 – UkrNIINTI 02.01.86. – N1-Uk86. – 58 p. (In Rus.)
15. Savula Ya.H., Fleishman N.P., Shcherbatyy M.V. Shape Optimization of Elastic Rotation Shells. // Mathem. Meth. and Phys.-Mech. Fields. – Kiev: Nauk. Dumka, 1984. – V. 19. – P. 74-78. (In Rus.)

Conference Publications
1. Shcherbatyy M.V. Optimization of Model Parameters for Processes of One-Dimensional Heterodiffusion Mass Transfer // Problems of Decision Making under Uncertainties (PDMU-2013): Abstracts of XXІІІ International Conference. — Mukachevo, Ukraine. — May 12-16, 2014. — С. 193-194. (In Ukr.)
2. Shcherbatyy M.V. Parameter Optimization in Models of Dynamical Systems // І Int. XХ Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Conference Materials. —Lviv. – 7-9 April, 2014. – P. 156. (In Ukr.)
3. Savula Ya., Shcherbata H., Shcherbatyy M. Sensitivity Analysis in Population Dynamic Models // Problems of Decision Making under Uncertainties (PDMU-2013): Abstracts of XXІ International Conference. — Skhidnytsia, Ukraine. — May 13-17, 2013. — С. 186. (In Ukr.)
4. Shcherbatyy M. Identification Parameter Problems for Models of Dynamics of Admixture Mass Transfer Processes in Heterogeneous Media // Modern Problems of Mechanics and Mathematics: Int. Conf. Proc., V. 2.—Lviv, Ukraine. — 2013. — С. 193-195. (In Ukr.)
5. Savula Ya., Shcherbata H., Shcherbatyy M. Sensitivity Analysis of Solutions of Admixture Heterodiffusion Problems with Respect to Pertubation of Medium Parameters // Problems of Decision Making under Uncertainties (PDMU-2012): Abstracts of XX International Conference. — Brno, Czech Republic. — September 17-21, 2012. —P. 181-182. (In Rus.)
6. Shcherbatyy M. V. Sensitivity Analysis and Identification Parameter in Parabolic Type Systems // XVIIІ Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Conference Materials. — Lviv, 2012. – P. 168. (In Ukr.)
7. Savula Ya., Shcherbata H., Shcherbatyy M. Identification Parameter Problems for Heterodiffusion Mass Transfer Processes // Problems of Decision Making under Uncertainties (PDMU-2012), April 23-27, 2012: Abstracts of XIX International Conference. —Mukachevo, Ukraine. — 2012. — P. 197-198. (In Ukr.)
8. Shcherbatyy M. V. Sensitivity Analysis for Identification Parameter Problems of Dynamical Systems // XVII Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”:Abstracts. — Lviv, 2011. – P. 109. (In Ukr.)
9. Savula Ya.H., Shcherbata H.M., Shcherbatyy M.V. Application of FEM to Researching of Heterodiffusion Mass Transfer Processes in Two-Dimensional Domain// Problems of Decision Making under Uncertainties (PDMU-2011): Abstracts of XVIII International Conference. —Yalta, Ukraine. — 2011. — С. 144-145. (In Ukr.)
10. Savula Ya., Shcherbata H., Shcherbatyy M. Numerical Research of Heterodiffusion Processes in Two-Dimension Region// Mathematical Problems of Mechanics of Heterogeneous Structure: Proceedings VIII Int. Sci. Conf. — Lviv, 2010. — P. 436-437. (In Ukr.)
11. Savula Ya.H., Shcherbata H.M., Shcherbatyy M.V. Modeling and Optimization of Accumulation of Pollutant Level in Plants // Problems of Decision Making under Uncertainties (PDMU-2010): Abstracts of XV International Conference. —Lviv, Ukraine. — 2010. — P. 188-189. (In Ukr.)
12. Shcherbatyy M. Optimization of infectious disease processes modeled by delay differential equations // XVI Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Conference Materials. -Lviv, 2009. – P. 232-233. (In Engl.)
13. Shcherbatyy M. Computer Modeling of Plant Pollution Processes // Proceedings of Sci. Conf. “Computational Mathematics and Mathematical Problems in Mechanics”. – Lviv, 2009. – P. 315-317. (In Ukr.)
14. Savula Ya., Shcherbata H., Shcherbatyy M. Fitting models and parameter estimation for ordinary differential equations // Problems of Decision Making Under Uncertainties (PDMU_2009), April 27-30, 2009: Abstracts. – Skhidnytsia, Ukraine. – 2009. – P. 39. (In Engl.)
15. Shcherbatyy M. Sensitivity Analysis of Equation Coefficients in Parabolic Type Systems // XV Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Abstracts. – Lviv, 2008. – P. 97. (In Ukr.)
16. Shcherbatyy M.V., Shymanskyy V.M. Mathematical Modeling “Resource-Consumer” Process // IV Ukrainian Scientific Conf. “Problems of Nonlinear Analysis”: Abstracts. – Ivano-Frankivsk, Ukraine, 2008. – P. 105. (In Ukr.)
17. Shcherbatyy M.V. Optimization of Geometrical and Elastic Characteristics of Nonhomogeneous Circular Cylinder with Thin Inclusion // // XIV Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Abstracts. – Lviv, 2007. – P. 152. (In Ukr.)
18. Shcherbatyy M.V. Problems of Construction of Discrete Full-Strength Structure with Given Weight // XIII Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Abstracts. – Lviv, 2006. – P. 158. (In Ukr.)
19. Мatsong Ya.Ye., Savula Ya.H., Shcherbatyy M.V. Optimal Temperature Control in Model of Must Fermentation Process //. VII International Scientific-Technical Conference “System Analysis and Information Technologies”: Materials. – Kyiv, June 28 – July 2, 2005. – P. 54. (In Ukr.)
20. Shcherbatyy M.V., Shcherbata I.V. Mathematical Modeling of Sustainable Development of Region // XII Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Abstracts. – Lviv, 2005. – P. 112. (In Ukr.)
21. Мatsong Ya.Ye., Savula Ya.H., Shcherbatyy M.V., Gerzhikova V.H., Zhylyakova T.A. Optimal Control of Must Fermentation Processes with Temperature Dependence Taking into Account // XI Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Abstracts. – Lviv, 2004. – P. 95. (In Ukr.)
22. Мatsong Ya.Ye., Savula Ya.H., Shcherbatyy M.V. Mathematical Modeling of Fermentation Processes // X Ukrainian Scientific Conf. “Modern Problems of Applied Mathematics and Informatics”: Abstracts. – Lviv, 2003. – P. 94. (In Ukr.)
23. Shcherbatyy M.V., Ivankiv K.S. Modelling and Optimization of Infectious Disease Processes Based on Delay Differential Equations. // 22nd Annual Conference, ISCB, Programme and Abstracts. – Stockholm, Sweden, August 19-23, 2001. – P. 213. (In Eng.).
24. Shcherbatyy M.V., Ivankiv K.S. Optimal Control of Immunology Processes.// ISCB-GMDS-99 Conf., Abstracts. – Heidelberg, Germany, 1999. – P. 409. (In Eng.)
25. Shcherbatyy M.V., Ivankiv K.S. Simulative Approach to Solution of Optimal Design Problems of Shell Construction.//Conf.: Num. Meth. and Comput. Mech. in Science and Eng.: Theses. – Miscolc: Hungary, 1998. – P. 98-99. (In Eng.)
26. Shcherbatyy M.V. Structural Optimization of Elastic Shell Constructions.//Conf.: Num. Meth. and Comput. Mech. in Science and Eng.: Theses. – Miscolc: Hungary, 1996. – P. 69. (In Eng.)

Scientific biography

PERSONAL: Born October 12, 1957, Ternopil Oblast, Ukraine; Ukrainian Citizen; married.

EDUCATION     

1983-1986:  Post-graduate course at the Department of Applied Mathematics, Ivan Franko National University of Lviv.

Ph.D. in Physical and Mathematical Science (June 1987, Decision of the Council in the Institute of Applied Problems of Mechanics and Mathematics of the  Akademy of Sciences  of USSR.

  • Advisor: Prof. Yarema Savula
  • Thesis: Parameter Optimization of Elastic Shells of Compound Shape.

1974-1979: Student of the Faculty of Applied Mathematics, Ivan Franko National University of Lviv. M.S. in Applied Mathematics. Diploma with Honors.

January 1996 –  December 1997 – A course of English in “International House” school in Lviv.

PROFESSIONAL APPOINTMENTS

1991-present  Associate Professor (Docent), Department of Applied Mathematics, Ivan Franko National University of Lviv.

1987-1990    Senior Researcher of the “Numerical Methods in the Applied Mathematics” Research Laboratory, Department of Applied Mathematics, Ivan Franko National University of Lviv.

1979-1983    Scientific  Researcher of the “Numerical Methods in the Applied Mathematics” Research Laboratory, Department of Applied Mathematics, Ivan Franko National University of Lviv.

TEACHING EXPERIENCE

Courses Curriculum Development and Teaching

  • Optimization of Complex Systems
  • System of Computer Mathematics
  • Applied Statistical Modelling
  • Application of Numerical Methods for Researching of Economic-Environmental and Medical-Biology Processes
  • Optimization of Complex Systems (Erasmus Mundus Master course in Mathematical Modeling in Engineering (MathMods); University of L’Aquila, Italy, March 2016, visiting professor)

Courses Curriculum Development and Teaching in Previous Years

    • Control of Solutions of Mathematical Physics Problems
    • Mathematical Modelling and System Analysis
    • Modeling of Complex Systems
    • Mechanics of Continuous Medium
    • Optimization in Mathematical Physics Problems
    • Econometrics
    • Object Oriented Design
    • Programming on VBA
    • Laboratory Classes on Programming Languages C#, C++, Delphi, Pascal, FORTRAN.

Advisor the masters’ and bachelors’ scientific works.

PROFESSIONAL HONORS, AWARDS, FELLOWSHIPS

2012-2014 Participant of International Project 530 601-TEMPUS-1-2012-1-PL-TEMPUS-SMHES “INARM: Informatics and Management: Bologna-Style Qualification Frameworks“.

July 1-14, 2013 Summer School in Koblenz-Landau University, Germany. Learning Outcomes. Higher Education Policy.

2001-2004    INTAS Grant 00-0751 (“Novel Technology for Fermentation Process Monitoring and Quality Control of Alcoholic Beverages Based on Enzyme Electrodes and Kits”), responsible for task “Mathematical modelling of the fermentation processes”.

1994-1995    Grant of Ukrainian State Scientific, Technical and Industrial Policy Committee for optimal control problem investigations.

1999-2001    Member of ISCB (International Society for Clinical Biostatistics).

2001             ISCB (International Society for Clinical Biostatistics) Grant for participation in 22nd ISCB annual conference (Stockholm, Sweden, 19-23August, 2001).

1999            Grant of German Association for Medical Informatics, Biometry and Epidemiology    (GMDS) for participation in ISCB-GMDS-99 conference (Heidelberg, Germany,       13-17 September, 99).

LANGUAGES
Ukrainian – mother tongue; Russian – fluent; English – good; Polish – basic.

COMPUTER SKILLS

  • languages – Fortran; Pascal; C/C++;VBA;C#;
  • software – Delphi, Microsoft Visual Studio, STATISTICA, SPSS, MATLAB, COMSOL, Microsoft Office.

 

 

Schedule