Analytical and numerical methods in engineering analysis

Description: The discipline covers a range of issues related to the identification of objective patterns and trends in the development of methods of research of the transport process in modern conditions. The classification of modeling methods is considered, and the study of the fundamentals of the theory of experimental planning, processing of experimental studies using analytical and simulation modeling methods is also provided.

Amount of credits: 5

Пререквизиты:

• Management of supply chains

Course Workload:

Component: Component by selection

Cycle: Base disciplines

Goal

• Formation of a system of scientific and professional knowledge and skills for conducting research in the field of forecasting transport systems and assessing its competitiveness

Objective

• formation of an idea of the main provisions of the forecasting methodology for solving applied problems of improving the efficiency of transport systems; the study by undergraduates of the organizational and methodological foundations of the assessment of transport systems

Learning outcome: knowledge and understanding

• a master's student should know the basic definitions, provisions, methods and methods of forecasting, methods of conducting and forms of organization of forecasting

Learning outcome: applying knowledge and understanding

• be able to perform scientific and engineering-applied calculations, analyze the results obtained, draw conclusions based on the synthesis of analysis results, evaluate competitiveness

Learning outcome: formation of judgments

• formulate judgments about the state of transport systems

Learning outcome: communicative abilities

• Acquisition of skills in handling modern technology, the ability to use information technology in the field of professional activity

Learning outcome: learning skills or learning abilities

• Mastering the skills of acquiring new specialized knowledge necessary for daily professional activities and continuing studies in doctoral studies

Teaching methods

analyze documents regulating the operation of transport in general and its facilities in particular; - use software to solve transport problems; - use computer tools;

Topics of lectures

• Numerical integration
• Numerical methods for solving systems of linear algebraic equations
• Iterative methods for solving systems of linear algebraic equations
• Methods for solving the Cauchy problem
• Methods of approximation of functions

Key reading

• Кузнецов А.П. Методологические основы управления грузовыми перевозками в транспортных системах. – М.: ВИНИТИ, 2009. – 276 с. Прогнозирование и планирование в условиях рынка: Учебное пособие для вузов/Т.Г. Морозова, А.В. Пикулькин, В.Ф. Тихонов и др.; Под ред. Т.Г. Морозовой, А.В. Пикулькина. – М.: ЮНИТИ-ДАНА, 2000. – 318 с. Терешина Н.П., Шкурина Л.В. Конкурентоспособность железнодорожного транспорта: оценка имущественного и финансового потенциала. – М.: УМК МПС, 2009. – 128 с.

Further reading

• Аналитические и численные методы планирования экспериментов и инженерного анализа : учебно-методическое пособие / Сибирский федеральный университет, Институт космических и информационных технологий ; сост.: С. В. Кириллова, К. А. Кириллов, К. В. Симонов. - Красноярск : СФУ, 2021 (2021-12-02). - 56 с. Антоник В.Г. Численные методы: математический анализ и дифференциальные уравнения: учебник/ Иркутск. Изд. Иркутского университета, 2007 - 63 с. Д. Холл. Современные численные методы решения обыкновенных дифференциальных уравнений: учебное пособие/ 2012 – 312 стр. Демидович Б.П., Марон И.А., Шувалова Э.З. Численные методы анализа: приближение функций, дифференциальные и интегральные уравнения: Учебное пособие/ 3-е изд., перераб. — М.: Наука, 1967. — 368 с.