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Numerical modeling technologies

ННД.07

Обов’язкова дисципліна для ОП

Second

2022/2023

3 Semester

3

PLO8. Communicate effectively on information, ideas, problems, and solutions with professionals and society at large. PLO10. Be able to build models of physical and production processes, design storage and data space, and knowledge base, using charting techniques and standards for information systems development.

Full-time form

To successfully study the discipline "Numerical Modeling Technologies", the student must meet the following requirements: Knowledge: 1. Theoretical foundations and methods of research of complex systems using the methods of equations of mathematical physics, integral equations, and mathematical modeling. 2. Principles of mathematical modeling of complex processes. Ability: 1. To solve basic problems of the theory of differential equations and mathematical physics. 2. Create numerical methods for solving mathematical physics equations. 3. Apply the methods of mathematical and computer modeling to study systems and build mathematical models. Possession of: 1. Programming skills. 2. Skills in building, analyzing, and applying mathematical models when solving applied computer modeling problems.

Mastering the technologies for preparing and conducting computer simulations, following the sequence: identifying the characteristic parameters of the process, definition of a system of models, discretization of a system of models, construction of computing technologies, programming of algorithms, numerical modeling, processing and analysis of data, displaying the results. The course includes one test and one comprehensive laboratory work. The discipline ends with an exam.

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., Lyashko S.I., Cherniy D.I. Alhorytmy metodu dyskretnykh osoblyvostei dlia obchysliuvalnykh tekhnolohii // Kibernetika i sistemnyy analiz. 2017, № 6, p.147-159. 3. Kordas O. A study on mathematical short-term modelling of environmental pollutant transport by sea currents: The Lagrangian approach / O.Kordas, A.Gourjii, E.Nikiforovich, D.Cherniy // Journal of Environmental Accounting and Management. – 2017. – Vol.5, N 2. – p. 87-104. 4. Gurzhiy A.A. Primenenie metoda diskretnikh osobennostei pri sostavlenii kratkosrochnogo prognoza rasprostraneniya zagryaznenii na morskoi poverkhnosti / A.A.Gurzhiy, O.I.Kordas, Ye.I.Nikiforovich, D.I.Cherniy // Visnyk Natsionalnoho tekhnichnoho universytetu «KhPI», Seriia «Matematychne modeliuvannia v tekhnitsi ta tekhnolohiiakh». – Kharkiv, NTU «KhPI», 2019. – №8(1333), p. 104-109.

Lectures, laboratory classes, independent work.

Semester assessment: The maximum number of points a student can receive is 60 points. 1. Complex laboratory work 50/18 points. 2. Current assessment 10/6 points. Final evaluation (in the form of an exam): Maximum number of points that can be received by a student: 40 points. Form of conduct: written work. Types of tasks: 3 written tasks (2 theoretical questions and 1 practical task). The student receives an overall positive grade in the discipline if his grade for the exam is not less than 24 (twenty-four) points. A student is admitted to the exam if during the semester he: scores at least 36 points in total; and completes and submits laboratory work on time.

Ukrainian