SYLLABUS

University: Technical University of Košice

Faculty: Faculty of Electrical Engineering and Informatics

Department: Department of Physics

Course Number: 2618821

Course Name: Computer Physics

Type, scope and method of learning activities:
Course Type: Lecture, Numerical exercises
Recommended scope of the course content (in hours):
Full-time study (hours per week): 2,3
Part-time study (hours per semester): WT 26,39
Study Method: Attendance

Number of credits: 6

Recommended semester of study: WT

Recommended semester

Study programme

Study grade

Study Method

3.rok WT

Physical Engineering of Advanced Materials (FIPM_Bc_D_sk)

Bachelor

Attendance

Level of study:

Prerequisites:

Course completion requirements:
Assessment and completion of the course: Credit test and examination
Continuous assessment: Student passes the continuous assessment and receives credits when he or she meets the requirement to obtain at least 21% out of 40%.
semestral project
Final assessment: Student passes the final assessment and passes the examination when he or she meets the requirement to obtain at least 31% out of 60%.
examination
Overall assessment: Overall assessment is the sum of the assessments obtained by students in the assessment period. The overall result is determined in accordance with the internal regulations of the Technical University in Košice. (Study Regulations, the internal regulation principles of doctoral studies)

Learning outcomes:
To acquire the basics of numerical mathematics and ability to apply them in formulation and algorithmization of complex physical problems and realistic modelling.

Brief course content:
1. Concept of dynamic system and its attractor. Classification : discrete and continuous, autonomous and non-autonomous dynamic systems.
2. Numerical methods of solution of systems of non-linear differential equations. One-step and multi-step implicit and explicit methods.
3. A fixed point attractor. Liapunov's stability of a fixed point.
4. Attractor of the type of limited cycle, periodic orbit. Poincaré transformation.
5. Concept of bifurcation in discrete and continuous systems. Scenario of transition to chaos.
6. Chaotic attractor. Identification of fractal dimension of chaotic attractor. Generalized information and Procaccio dimension.
7. Fourier transformation, identification of signal periodicity.
8. Transformation of partial differential equations resulting in the system of ordinary differential equations with initial condition. Problem of linear and non-linear diffusion, decomposition into Fourier modes.
9. Numerical solution of non-stationary Schrödinger differential equation using the method of time discretization.
10. Stochastic differential equations.
11. Solution of systems of transcendent equations. Newton-Ralphson and pseudo-Newton methods.
12. Basics of numerical linear algebra. Iteration scheme. Dominant eigenvalue of linear operator.

Recommended Reference Sources:
1. Updated course texts are available at the website http://158.197.33.91/~horvath/
2. Schmid E. W., Spitz G., Lösch W.: Theoretical Physics on the Personal Computer. Springer-Verlag. Berlin,Heidelberg, 1988.
3. Prikryl P.: Numerické metody matematické analýzy. SNTL. Praha, 1985.
4. Thijssen J. M.: Computational physics. Cambridge university press. Cambridge, 1999.
5. Pozrikidis C..: Numerical computation in science and engineering, Oxford university press, 1998.
6. Marek M., Schreiber I.: Stochastické chování deterministických systémú. Academia. Praha, 1984.

Recommended optional program components:

Languages required for the course completion: Slovak, English

Notes:

Course assessment:
Total number of students assessed: 6

33%

17%

Teacher:
doc. RNDr. Mária Kladivová, PhD.

Last modified: 31.08.2022

Approved by: person(s) responsible for the study program