course-details-portlet

MA8103 - Non-Linear Hyperbolic Conservation Laws

About

Examination arrangement

Examination arrangement: Oral examination
Grade: Passed/Failed

Evaluation Weighting Duration Grade deviation Examination aids
Oral examination 100/100 E

Course content

The course is given every other year, assuming enough students sign up for the course. Next time is Spring 2022. If not enough students register for the course, it will be given as a "ledet selvstudium". 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.

Course materials

H. Holden, N. H. Risebro: Front Tracking for Hyperbolic Conservation Laws, Springer 2015.

More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Doctoral degree level

Coursework

Term no.: 1
Teaching semester:  SPRING 2022

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Mathematics
Contact information
Course coordinator:

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 *
Autumn ORD Oral examination 100/100 E
Room Building Number of candidates
Spring ORD Oral examination 100/100 E
Room Building Number of candidates
  • * 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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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