NUMN24 Finite Volume Methods, 7.5 credits, is an elective course for a Master of Science degree in mathematics. The course can be taken as a stand-alone course. The course is given at half-study pace during the first half of each autumn semester. The course is given in English.

Course Content
The course covers

Hyperbolic conservation laws and their basic properties (weak solutions, weak entropy solutions, shocks)
Shocks and Riemann problems
Conservation in numerical methods
Finite volume methods and their stability
Higher-order discretisations
SBP (summation by parts) discretisations and energy estimates
Simulations of gas dynamics

Teaching
The teaching consists of lectures. Assignments and a compulsory final project are included in the course. The assignments are not compulsory, but they are preparatory for the compulsory final project.

Assessment
The examination consists of a written report of the final project and an appurtenant oral examination based on the report. The oral examination is only given to those students who have passed the written report.

Course Literature

Randall J. LeVeque, Numerical Methods for Conservation Laws, 1992, ISBN 764327235.
Philipp Birken, Numerical Methods for the Unsteady Navier-Stokes equations, 2012.

Official Course Description

Course Evaluation
Link to course evaluations on the department's website:

Course Evaluations, Numerical Analysis at Faculty of Science