"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science
| Numerical Simulation Techniques Using MATLAB |
ter |
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| Teaching Staff in Charge |
Prof. TRIF Damian, Ph.D., dtrif math.ubbcluj.ro |
| Aims |
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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 |
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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 |
| References |
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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., Myškis A. D., Elements of Applied Mathematics, Mir Publishers Moskow, 1976. |
| Assessment |
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individual project 50%, final exam 50% |
| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |