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| SPAT0002-1 | Numerical methods and programming basics
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| Duration : | 10h Th, 20h Pr |
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| Credits/ECTS : |
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| Holder(s) : | Guy Munhoven |
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| Language : | Langue française |
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| Course contents : | The main focus of the course is on the solution of ordinary differential equations (including systems) and basic types of partial differential equations. As far as possible, the course will be aimed at the application of the methods outlined to concrete problems. The main themes covered are
- Ordinary differential equations (explicit and implicit methods; multi-step and single-step methods; stability and non-negativity conditions);
- Partial differential equations (methods, properties and limitations; diffusion equation, with and without advection and/or reaction terms; advection equation).
Optionally, one aspect or another of the following subjects may be considered (some of these may also been treated during tutorials):
- eigenvalue problems;
- differential algebraic equations;
- finite element method;
- other methods (collocation, spectral methods, ...).
The programming part of the course will mainly be done during the tutorials. It will be done in Fortran 90 and under Octave (Matlab). |
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| Course objective : | To understand the principles of numerical methods, apply them, explore their limitations and test possible extensions. |
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| Prerequisites : | A basic course in numerical analysis (having introduced, as far as possible, the treatment of linear systems, interpolation, function roots, maxima and minima of functions, non-linear systems). |
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| Workshops : | Tutorials will mainly deal with
- an introduction to Fortran 90 and Octave (Matlab);
- solution of typical problems that the students might encounter in the course of their scientific career (projects in small groups);
- use of routine libraries (e.g., Netlib).
They are organised in 10 weekly sessions of 2 hours each |
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| Organization : | The course is organised during the first half year in 5 weekly two-hour lectures.
The first lecture will be given on Monday, 17th September 2007, at 8:30 am in room -1/14 of the Institute of Astrophysics and Geophysics (build. B5c, basement level). |
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| Written notes : | PDF files of slides will be made available to students. |
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| Assessment : | Project (individually and/or in small groups), oral exam. |
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| Contacts : | Guy Munhoven
University of Liège
Institut d'Astrophysique et de Géophysique (B5c build.)
17, allée du Six-Août
B-4000 Liège
Tél.: (+32) (4) 366 9771
Fax: (+32) (4) 366 9711
eMail: Guy.Munhoven@ulg.ac.be
Web: http://lpap.astro.ulg.ac.be/~munhoven/en |
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