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MATH0012-1

Numerical analysis II

[ version française ]

Duration :20h Th, 40h Pr
Credits/ECTS :
3rd year of the 5 year degree in civil engineering in electricity5,5
4th year of the 5 year degree in civil engineering in computer sciences5,5
3rd year of the 5 year degree in civil engineering in physics5
2nd "licence" in computer6
Holder(s) :François‑Xavier Litt
Course contents : Interpolation by polynomial, spline, rationnal and trigonometric functions.
Fast Fourier transform.
Differences and divided differences.
Uniform and least squares approximation.
Integration methods: Romberg, Newton-Cotes, Gauss.
Richardson extrapolation.
Ordinary differential equations: initial values problems: one step methods, multi-steps methods, practical implementation; boundary values problems; shooting method.
Linear programming: simplex algorithm, phases I and II.
Course objective : Description of some fundamental problems in numerical analysis and solutions methods.
Prerequisites : Knowledge of mathematical analysis, linear algebra and the course:
MATH0006-1 Numerical analysis (1st partie) .
Workshops : Solution of a numerical problem with a FORTRAN progam based on the HARWELL subroutines library. This obligatory work is done by teams of two students and a final report must be turned in.
Organization : During the second semester:
Lectures during tht 10 first mondays of the semester from 14:00 to 16:00 for the whole students at once.
Practical work as indicated above.
Written notes :
  • Working books :

    Analyse numérique, deuxième partie, F.X. Litt; on sale at l'AEES.
    Analyse numérique, deuxième partie, Introduction au FORTRAN, C. Bernard, R. Ducomble; on sale at the secretary's office.
  • Recommended readings:

    see the list in the first of the working books.
Assessment : 1st session (June): practical work: 50%, oral exam: 50%, no written exam.
2nd session: oral exam: 100%, no written exam.
Contacts : Teacher : F.X.Litt, Institut Montefiore, B28, Sart Tilman, 4000 Liège ; Tél. 04/366.26.92 ; Fax 04/366.28.74 ; e-mail FX.Litt@ulg.ac.be
Secretary : M.T.Ratz, Tél 04/366.26.81; e-mail MT.Ratz@ulg.ac.be
Assistants : D. Detry, V. Leroy, C. Thiernesse.
NB : Modifications to this list of assistants can occur during the academic year.
Remarks :
  • Every attributed grade (even partial, i.e. practical work or oral exam) can be maintained.
  • The students following this course as "free auditors" must always (even if the oral exam is taken in September) have done the practical work.




ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 27/02/2006
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