"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Numerical methods in mechanics
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MM025
7
2+2+0
6
optional
Matematică
MM025
7
2+2+0
6
optional
Matematică-Informatică
Teaching Staff in Charge
Lect. SZENKOVITS Ferenc, Ph.D., fszenko@math.ubbcluj.ro
Aims
Content
The course gives an introduction into main notions, results and methods of Lagrangean and Hamiltonian mechanics related to systems of points and rigid bodies. The second part presents a variety of numerical integration methods developed to resolve ordinary differential equations. Numerical methods will be implemented using MATLAB, and used to study different problems of celestial mechanics.
References
1. Arnold, V.I.: Metodele matematice ale mecanicii clasice, Editura Stiintifica si Enciclopedica, Bucuresti, 1980.
2. Butcher, J. C.: The numerical analysis of ordinary differential equations. John Wiley Sons, 1987.
3. Dragos, L.: Principiile mecanicii analitice, Editura Tehnica, Bucuresti, 1976.
4. Balint, A: The dynamics of the Solar System, ELTE Eotvos Kiado, Budapest, 2001 (Hungarian).
5. Nakamura, S.: Numerical analysis and graphic visualization with Matlab, Prestice Hall PTR, New-Jersey, 1996.
6. Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P.: Numerical Recipies in C, The Art of Scientific Computing, Second Edition, Cambridge University Press, Cambridge, New York, Port-Chester, Melbourne, Sydney, 1992.
7. Szenkovits F., Mako Z., Csillik I., Balint A.: Modelarea sistemelor mecanice cu ajutorul calculatorului, Ed. Sapientia, Cluj-Napoca, 2002. (in limba maghiara)
Assessment
Exam.