Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Numerical Solutions of Differential Equations 1 (17.DOM69L)

Native organizations units: No data

Type of studies	Title
Doctoral Academic Studies	Mathematics in Engineering (Godina: 1, Winter)

General information:

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

Educational goal:

To enable students to think abstractly and acquire knowledge in solving numerical differential equations.

Educational outcome:

Student is competent to utilize methods in solving numerical differential equations in practical work and further education.

Course content:

Ordinary Differential Equations. The initial problem. Contour problem. Singularly perturbated problems. Numerical methods based on differential schemes and flares. Error analysis. Models of the Lotka-Volterra type. Applications in Engineering.

Teaching methods:

Lectures. Consultations. Lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. In addition to lectures there are regular consultations. Through research and study work the student will, on the bases of scientific journals and other relevant literature that hasbeen studied independently, develop further understanding of the material covered in lectures. Working with the course teacher the student develops the ability to independently work on a scientific paper.

Literature:

Authors	Title	Year	Publisher	Language
N.J. Higham	Accuracy and Stability of Numerical Algorithms	1996	SIAM	English
A. Greenbaum	Iterative Methods for Solving Linear Systems	1997	SIAM	English
R.L. Burden, ‎J.D. Faires, ‎A.M. Burden	Numerical Analysis	2015	Tenth Edition, Cengage Learning	English
D. Hinrichsen, A.J. Pritchard	Mathematical Systems Theory I. Modelling, State Space Analysis, Stability and Robustness	2005	Springer	English
Y. Saad	Iterative Methods for Sparse Linear Systems	2003	SIAM	English
A.M. Stuart, A.R. Humphries	Dynamical Systems and Numerical Analysis, Cambridge Mongraphs on Applied and Computational Mathematics	1998	Cambridge University Press	English