Mathematical Sciences

Lund University

Finite Volume Methods

Finite Volume methods are the standard numerical methods for the solution of conservation laws, which represent fundamental laws of physics. Of particular importance is their use to model fluid flows in the form of parabolic and hyperbolic partial differential equations. Thus, they form the basis of air plane and wind turbine design, as well as weather forecasts.

The course explains basic pitfalls of numerical methods for these equations and how to arrive at stable and convergent finite volume methods of first order. This is then extended to multiple dimensions and higher order methods in the form of Discontinuous Galerkin methods, which are currently a hot research topic.

There are weekly assignments, with an oral examination of them every 2 weeks.

Lectures are Tuesdays, 10-12 and Thursdays, 10-12, in room 228.


Course Material

Assignment 1
Assignment 2
Assignment 3
Assignment 4
Assignment 5
Assignment 6
Assignment 7

Course Start

Start date:

Reading periods:
Spring, second half