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Cours scientifiques - APM_3S012_EP : Numerical Methods for ODEs

Domaine > Mathématiques appliquées.

Descriptif

In MAA312 “Numerical Methods for ODEs”, we will introduce numerical scheme to simulate ordinary differential equations. We will start by Euler schemes (explicit and implicit) and understand how the notions of stability and consistency can be used to study these methods. We will then consider Runge-Kutta schemes and apply the different methods to particular applications, e.g. the N-body problem.

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Vous devez avoir validé l'équation suivante : UE FMA_2S007_EP

Format des notes

Numérique sur 20

Littérale/grade américain

Pour les étudiants du diplôme Programmes d'échange internationaux

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Vos modalités d'acquisition :

Coursework component:

There will be one assignment from the Exercise sessions in form of a Jupyter notebook as well as quizz after each course.
There will be also a 1 hour test.
There will be also bonus points for participation during TA.

 

Final exam:

The final exam will be a written exam of 2 hours.

 

Allowed materials:

For both the final exam and the test only a single page of notes is allowded (and no electronic device).

 

Final grade:

The final grade will be computed as:
- Final exam=40%
- Coursework grade= 60% broken down as follows:
        - Quizz (average of one for each course) = 20%
        - Assignment= 20%
        - Test=20%
        - Attendance, participation = bonus points ranging from 0 to 2 (on the 0/20 French grading system)

 

Remedial exam:

The remedial will be an oral exam

Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 11)
    L'UE est acquise si Note finale >= 9
    • Crédits ECTS acquis : 4 ECTS

    La note obtenue rentre dans le calcul de votre GPA.

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