Course - Non-Linear Hyperbolic Conservation Laws - MA8103
MA8103 - Non-Linear Hyperbolic Conservation Laws
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Passed / Not Passed
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral examination | 100/100 | E |
Course content
Fundamental mathematical and numerical properties for conservation laws include: Existence of solutions, shock solutions, entropy conditions, Rankine-Hugoniot condition. Numerical techniques include front tracking, finite difference methods, Riemann solvers, and Glimm's method. Applications to gas dynamics and petroleum reservoirs will be discussed.
Learning outcome
1. Knowledge. The course covers fundamental mathematical and numerical properties for conservation laws, in particular: Existence of solutions, shock solutions, entropy conditions, Rankine-Hugoniot condition. Numerical techniques include front tracking, finite difference methods, Riemann solvers, and Glimm's method 2. Skills. The students should be able to handle problems and conduct researches on nonlinear partial differential equations and their applications, in particular applications to gas dynamics and petroleum reservoirs as well as to other applied disciplines 3. Competence. The students should be able to participate in scientific discussions and conduct researches on high international level as well as collaborate in joint interdisciplinary researches.
Learning methods and activities
Lectures, possibly guided self-study.
The course is given every other year, assuming enough students sign up for the course. Next time is Spring 2024. If not enough students register for the course, it will be given as a "ledet selvstudium".
Recommended previous knowledge
The course assumes knowledge corresponding to Matematikk 1-4. The course TMA4305 (Partial Differential Equations) is an advantage.
Course materials
H. Holden, N. H. Risebro: Front Tracking for Hyperbolic Conservation Laws, Springer 2015.
Version: 1
Credits:
7.5 SP
Study level: Doctoral degree level
Term no.: 1
Teaching semester: SPRING 2024
Language of instruction: English
Location: Trondheim
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Oral examination 100/100 E 2024-06-01 09:00
-
Room Building Number of candidates Storhall del 2 Idrettssenteret (Dragvoll) 10
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"