Study programme 2023-2024 | Français | ||
Seminars: Numerical Analysis | |||
Programme component of Master's in Mathematics : Research Focus (MONS) (day schedule) à la Faculty of Science |
Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
US-M2-MATHFA-003-M | Optional UE | TROESTLER Christophe | S835 - Analyse numérique |
|
Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
| Français | 30 | 0 | 90 | 0 | 0 | 12 | 12.00 | Full academic year |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
S-MATH-032 | Seminars: Numerical Analysis | 30 | 0 | 90 | 0 | 0 | A | 100.00% |
Programme component |
---|
Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
At the end of the instruction, the students will be able to:
* explain what is a differential equation with boundary conditions;
* determine their solutions in simple cases;
* prove the equivalence with the weak form and the variational form, as well as the Lax-Milgram theorem;
* implement the finite element method for elliptic equations.
UE Content: description and pedagogical relevance
Classification of partial differential equations (PDE).
Weak formulation, Lax-Milgram theorem
Variational formulation, direct method of the calculus of variations
The method of finite elements: Galerkin approximations, errors, convergence, practical advice for implementation
The precise content will depend on the students' objectives.
Prior Experience
Not applicable
Type of Teaching Activity/Activities
AA | Type of Teaching Activity/Activities |
---|---|
S-MATH-032 |
|
Mode of delivery
AA | Mode of delivery |
---|---|
S-MATH-032 |
|
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
---|---|
S-MATH-032 | Not applicable |
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
---|---|
S-MATH-032 | See the course page. |
Other Recommended Reading
AA | Other Recommended Reading |
---|---|
S-MATH-032 | Not applicable |
Grade Deferrals of AAs from one year to the next
AA | Grade Deferrals of AAs from one year to the next |
---|---|
S-MATH-032 | Authorized |
Term 1 Assessment - type
AA | Type(s) and mode(s) of Q1 assessment |
---|---|
S-MATH-032 |
|
Term 1 Assessment - comments
AA | Term 1 Assessment - comments |
---|---|
S-MATH-032 | Not applicable. |
Resit Assessment - Term 1 (B1BA1) - type
AA | Type(s) and mode(s) of Q1 resit assessment (BAB1) |
---|---|
S-MATH-032 |
|
Term 2 Assessment - type
AA | Type(s) and mode(s) of Q2 assessment |
---|---|
S-MATH-032 |
|
Term 2 Assessment - comments
AA | Term 2 Assessment - comments |
---|---|
S-MATH-032 | Not applicable |
Term 3 Assessment - type
AA | Type(s) and mode(s) of Q3 assessment |
---|---|
S-MATH-032 |
|
Term 3 Assessment - comments
AA | Term 3 Assessment - comments |
---|---|
S-MATH-032 | Not applicable |