Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
ME046	Numerical Simulation Techniques Using MATLAB	

Section	Semester	Hours: C+S+L	Category	Type	
Computer Science - in Romanian	8	2+0+2		optional	
Applied Mathematics	8	2+0+2		compulsory	

Teaching Staff in Charge	Prof. TRIF Damian, Ph.D., dtrif@math.ubbcluj.ro	
Aims	The course is aimed at those who are active in computer simulation or are planning to become so. In effect, the student will learn to couple his/her understanding of basic mathematics with numerical methods in order to obtain solutions to engineering problems.	
Content	1. Practical problems, models,inverse problems
2. Automatic differentiation and interval arithmetic (INTLAB package)
3. Qualitative studies, singular points, bifurcations
4. Ill-conditionned problems, regularization
5. Shadowing and validation of numerical results
6. Chebfun, LiScM, accdot	
Bibliography	Hairer E., Numerical Geometric Integration, Internet course, 1999, http://www.unige.ch/math/folks/hairer/polycop.html
Hargreaves G. I., Interval Analysis in MATLAB, Numerical Analysis Report No. 416, Univ. of Manchester, 2002, http://www.ma.man.ac.uk/~nareports
Lynch S., Dynamical Systems with Applications using MATLAB, Birkhäuser, 2004.
Morosanu Gh., Ecuatii diferentiale. Aplicatii, Ed. Academiei RSR, 1989.
Parker T. S., Chua L. O., Practical Numerical Algorithms for Chaotic Systems, Springer-Verlag, 1989.
Stauning O., Automatic Validation of Numerical Solutions, IMM-PHD-1997-36, Thesis, Lyngby, 1997, http://citeseer.nj.nec.com/stauning97automatic.html
Trif D., Metode numerice in teoria sistemelor dinamice, Transilvania Press, 1997.
Watson H. A. Jr., Differential Equations for Reliability, Maintainability, and Availability, Internet course, 1997, http://mathforum.org/differential/watson/
Zeldovich Ya. B., Myąkis A. D., Elements of Applied Mathematics, Mir Publishers Moskow, 1976.
	
Assessment	individual project 50%, final exam 50%