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MM527: Mathematical and Numerical Analysis of Hyperbolic Conservation Laws (5 ECTS)

STADS: 13009101

Level
Bachelor course

Teaching period
The course is offered in the spring semester.

Teacher responsible
Email: achim@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Monday 10-12 U146 6-7
Common I Monday 10-12 U147 8-9
Common I Monday 10-12 U151 10
Common I Wednesday 08-10 U146 5
Common I Thursday 16-18 IMADA semi 5-10
H1 TE Wednesday 08-10 U17 6-10
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Comment:
Ubegrænset deltagerantal.

samlæst med MM839

Prerequisites:
None

Academic preconditions:
Basic programming (DM502), calculus (FF502) and linear algebra (MM505).

Course introduction

The aim of the course is to enable the student to student by analytic and numerical methods to solve problems in natural science, which is important in regard to write a bachelor thesis and to work in natural science

The course builds on the knowledge acquired in the courses DM502, FF502, MM505, and gives an academic basis for writing a bachelor thesis, that are part of the degree.

In relation to the competence profile of the degree it is the explicit focus of the course to:
  • Give the competence to handle complex problems in planning and technology and to structure own learning.
  • Give skills to analyse problems and to generate new insight by numerical simulations.
  • Give knowledge and understanding of numerical analysis of problems in science and engineering.
 


Expected learning outcome
The learning objective of the course is that the student demonstrates the ability to:
  • formulate conservation laws in integral and differential form.
  • describe the issues that arise when computing weak solutions like contact discontinuities and shock waves.
  • implement stable algorithms in one space dimension.
 


Subject overview
The following main topics are contained in the course:
  • Conservation laws as integral and partial differential equations (PDEs).
  • Shock formation and weak solutions.
  • The Kruzkov entropy solution.
  • Finite Volume methods and the Riemann Problem.
  • Godunov-, upwind-, and Lax-Friedrichs methods.
 


Literature
    Meddeles ved kursets start.


Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Mandatory assignments. (5 ECTS). Passed/ failed, internal evaluation by the teacher. (13009102).
Expected working hours
The teaching method is based on three phase model.
Intro phase: 24 hours
Skills training phase: 10 hours, hereof:
 - Tutorials: 10 hours

Educational activities
  • self-studies
  • problem solving
 
Educational form

Language
This course is taught in English, if international students participate. Otherwise the course is taught in Danish.

Remarks
The course is co-read with: MM8XX Numerical analysis of hyperbolic conservation laws

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.