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| MATH0012-1 | Numerical Analysis II
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| Duration : | 20h Th, 40h Pr |
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| Credits/ECTS : |
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| Holder(s) : | François‑Xavier Litt |
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| Language : | Langue française |
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| 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. |
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| Course objective : | Description of some fundamental problems in numerical analysis and solutions methods. |
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| Prerequisites : | Knowledge of mathematical analysis, linear algebra and the course:
MATH0006-1 Numerical Analysis (1st part) . |
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| Workshops : | Solution of a numerical problem with the software MATLAB. This obligatory work is done by teams of two students and a final report must be turned in. |
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| Organization : | During the second semester:
Lectures during tht first 10 thursdays of the semester from 8:30 to 10:30 for the whole students at once.
Practical work as indicated above. |
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| Written notes : |
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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.
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Recommended readings:
see the list in the first of the working books.
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| Assessment : | 1st session (June): practical work: 50%, oral exam: 50%, no written exam.
2nd session: oral exam: 100%, no written exam. |
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| 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. |
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| 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.
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