Navigation

13M081NMD - Numerical Methods for Differential Equations Solving

Course specification
Course title Numerical Methods for Differential Equations Solving
Acronym 13M081NMD
Study programme
Module
Type of study master academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ESPB 6.0 Status elective
    Condition -
    The goal Training candidates for self contained solving problems in the area of numerical solving differential equations
    The outcome Knowledge and ability candidates for self contained solving problems in the area of numerical solving differential equations
    Contents
    Contents of lectures Initial values problems for ODE Quasi-numerical methods (Taylor, potential series, successive approximations, Euler, small parameter). Runge-Kutta type methods. Multi-step (predictor-corrector) methods Consistency, convergence, stability, errors Systems of DE Contour (boundary value) problems for ODE Shutting method Finite difference methods Partial DE. Difference schemes. Stability.
    Contents of exercises Problems solving
    Literature
    1. D. Tošić: Introduction to Numerical Analysis, Belgrade, 2004. (in Serbian)
    2. D. Radunović: Numerical Methods, Belgrade, 2003. (in Serbian)
    3. Lj. Teofanov, N. Ralević: Selected topics in numerical mathematics, FTN, Novi Sad, 2019. (in Serbian)
    4. G. Milovanović: Numerical analysis (part 3), Belgrade, 1991. (in Serbian)
    Number of hours per week during the semester/trimester/year
    Lectures Exercises OTC Study and Research Other classes
    3 1
    Methods of teaching Traditional teaching course, with computer assistance.
    Knowledge score (maximum points 100)
    Pre obligations Points Final exam Points
    Activites during lectures 10 Test paper 10
    Practical lessons 0 Oral examination 30
    Projects
    Colloquia 0
    Seminars 50