Infopaket

Problems of non-classic optimization

ОК.13

Обов’язкова дисципліна для ОП

Second

2023/2024

1 Semester

6

PLO2. Understanding of the principles and methods of analysis and evaluation of the range of tasks that contribute to the further development of effective use of information resources. PLO6. Be able to design and use existing data integration tools, and process data stored in different systems.

Full-time form

To successfully study the discipline of "Non-classical optimization problems", a student must meet the following requirements: 1. Knowledge: Theoretical foundations and methods of research of complex systems using methods of equations of mathematical physics and mathematical modeling. Principles of mathematical modeling of complex processes. 2. Skill: Solve basic problems of the theory of differential equations and mathematical physics. Create numerical methods for solving mathematical physics equations. Formulate optimization problems for solving practical problems. Apply methods of mathematical and computer modeling to study systems and build mathematical models. 3. Ownership: Programming skills. Skills in building, analyzing, and applying mathematical models when solving applied computer modeling problems.

The purpose of the discipline is to increase the level of fundamental mathematical training, and to familiarize with the main provisions of modern optimized computational methods in the problems of mathematical modeling of complex processes using singular integral equations.

1. Dovgiy S.A., Lifanov I.K., Cherniy D.I. Metod singulyarnikh integralnikh uravnenii i vichislitelnie tekhnologi. – K.: Yuston. – 2016. – 380 p. 2. Dovgiy S.O., Liashko S.I., Cherniy D.I. Alhorytmy metodu dyskretnykh osoblyvostei dlia obchysliuvalnykh tekhnolohii. // Kybernetyka y systemnыi analyz. 2017, № 6. pp. 147-159. 3. Matviienko V.T., Metody optymizatsii parametrychnykh system./ Volodymyr T. Matviienko, Volodymyr V. Pichkur, Dmytro I. Cherniy // Zhurnal obchysliuvalnoi ta prykladnoi matematyky., No 1 V(135) 2021. pp.151-157. 4. Polozhiy G.N. Obobshchenie teorii analiticheskikh funktsii kompleksnogo peremennogo. – K.: Izdatelstvo Kievskogo universiteta. – 1965. – 444 p. 5. I.K.Lifanov, L.N.Poltavskii, G.M.Vainikko. Hypersingular Integral Equations And Their Applications. – London, New York, Washington D.C.: «Chapman &Hall/CRC». – 2001. – 396 p.

Lectures, laboratory classes, independent work.

The maximum number of points that can be obtained by a student is 100 points. 1. Test work No 1: 30/18 points. 2. Test work No 2: 30/18 points. 3. Current assessment: 40/24 points. Final assessment in the form of a test: According to paragraphs 4.6.1 and 7.1.5 of "Regulations on the organization of the educational process at the Taras Shevchenko National University of Kyiv" credit is given based on current control (see semester evaluation) as the sum of grades/points for all successfully evaluated learning outcomes; grades below the minimum threshold level are not added to the final grade. All students are allowed to take the test.

English