Numerical methods for differential equations 2 | Faculty of Technical Sciences

Subject: Numerical methods for differential equations 2 (17.DOM70Z)

Type of studies	Title
Doctoral Academic Studies	Mathematics in Engineering (Year: 2, Semester: Winter)

General information:

Category	Scientific-professional
Scientific or art field	Teorijska i primenjena matematika
ECTS	10

Enabling students to develop abstract thinking and acquire knowledge in the field of numerical solution of partial differential equations. Developing ability for independent analysis and solving of various problems of numerical analysis of partial differential equations. Student is trained for independent creation of numerical solutions of differetial equations and their error analysis.

Students are able to analyze and solve numerically mathematical models described by differential equations.

Partial differential equations: basics and explicit representation of solutions; finite difference methods; weak solutions, elliptic problems and Sobolev spaces; the finite element method; finite element methods for unsteady problems

Lectures. Consultations. The presentation of the theoretical part during the lectures is followed by the characteristic examples which contribute to better understanding of the subject matter. In addition to lectures, there are regular consultations.

Authors	Title	Year	Publisher	Language
Larsson, S., Thomee, V.	Partial Differential Equations with Numerical Methods	2005	Springer-Verlag, Berlin Heidelberg	English
Peter J. Olver	Introduction to Partial Differential Equations	2014	Springer Cham Heidelberg New York Dordrecht London	English
Grossmann, C., Roos, H.G., Stynes, M.	Numerical treatment of partial differential equations	2007	Springer, Heidelberg-Berlin	English