SLO | EN

Objectives and competences

Objectives: - Students understand the importance and key attributes of numerical solutions. - They know the theoretical basics of different numerical methods and their purpose. - Use of a programming language for numerical solutions. - Understand the source and propagation of numerical errors. - Use of different numerical methods for solving equations and system of equations. - understand the process and techniques of solving differential equations as algebraic systems with initial and boundary conditions. Competences: - Define and describe the meaning of numerical solutions. - Identify physical properties and select numerical method for mathematical description. - Identify types of domain discretization. - Distinguish approaches to numerical simulations.

Content (Syllabus outline)

- The purpose of numerical modelling. - Basic methods of numerical modelling and mathematical formulation. - Discretization problems and computational errors. - Numerical approximations and interpolations. - Taylor series. - Physical descriptions of processes in energy: leading equations, boundary, and initial conditions. - Finite difference method, formulation, discretization, advantages, weaknesses. - The use of numerical modelling: selection of methods, preparation of simulations, analysis of results.

Learning and teaching methods

- Frontal lectures - Tutorials - Seminar assignment

Intended learning outcomes - knowledge and understanding

Knowledge and understanding: - Students understand the discrete systems in computer notation. - Can describe and define the characteristics of different numerical methods. - Understand the purpose and limitations of numerical analysis. - Approaches to the correct interpretation of the results of numerical solutions.

Intended learning outcomes - transferable/key skills and other attributes

Transferable/key competences and other abilities: - Communication skills: oral defence of seminar assignment. - Computer skills: use of programming language for numerical solutions of problems and use of advanced computer programs. - Problem solving: preparation, execution, and interpretation of results of numerical analyses.

Readings

M.Hriberšek, J.Ravnik: Numerično modeliranje in računalniške simulacije; 1 del. Gradniki numeričnega računanja, Fakulteta za strojništvo, UM, 2012 B.Orel: Uvod v numerične metode, Fakulteta za računalništvo in informatiko, ULJ, 2021 B.Jurčič Zlobec, Numerične metode, Fakulteta za elektrotehniko, ULJ, 2007 Dodatna literatura/additional literature: A.Kaw, E.E.Kalu: Numerical Methods with Applications, 2nd Ed.University of South Florida, 2008 T.Young, M.J.Mohlenkamp: Introduction to Numerical Methods and Matlab Programming for Engineers, Department of Mathematics, Ohio University, 2018 S.Calogero: Introduction to finite difference method; Geteborg Univeristet, Chalmers, 2015

Prerequisits

None

  • doc. dr. MATEJ FIKE, univ. dipl. gosp. inž.
  • doc. dr. GORAZD HREN, univ. dipl. inž. str.

  • Written examination: 40
  • Coursework: 30
  • Oral examination: 30

  • : 44
  • : 30
  • : 106

  • Slovenian
  • Slovenian

  • ENERGY TECHNOLOGY - 1st