Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Numerical Analysis (17.D0M18L)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Doctoral Academic Studies	Mathematics in Engineering (Year: 1, Semester: Summer)

General information:

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

To enable students to think abstractly and acquire knowledge in numeric mathematics.

Student is competent to utilize methods of numeric solution of mathematic models in practical work and further education.

Solving the system of linear equations. Solving the nonlinear equations system. Numerical differentiation. Numerical integration. Numerical solving of differential equations. Optimization problems. Linear complementarity problems. Error analysis. Accuracy and stability of numerical algorithms.

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 has been 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.

Authors	Title	Year	Publisher	Language
A.M. Stuart, A.R. Humphries	Dynamical Systems and Numerical Analysis	1998	Cambridge University Press	English
A. Greenbaum	Iterative Methods for Solving Linear Systems	1997	SIAM	English
Y. Saad	Iterative Methods for Sparse Linear Systems	2003	SIAM	English
R.L. Burden, ‎J.D. Faires, ‎A.M. Burden	Numerical Analysis	2015	Tenth Edition, Cengage Learning	English
N.J. Higham	Accuracy and Stability of Numerical Algorithms	1996	SIAM	English