Lecture during the winter term 2015/16:
V4E1 – Numerical Algorithms
Requirements: Numerische Mathematik (V2E1, V2E2), Wissenschaftliches Rechnen I (V3E1/F4E1)
In this lecture we consider partial differential equations that formalize the
conservation of physical quantities, namely mass, momentum, and energy. Such
equations arise from the physics of fluids, including gases. This course
covers two classes of numerical methods that can be used to simulate such
fluids: the finite volume and the discontinuous Galerkin method. The goal of
the lecture is to lead the students to a basic understanding of essential
modern, high-performance computational methods.
Date & time
|Lectures: ||Tue,||10:15–11:45 am,||Wegelerstraße 6, Room 6.020 |
| ||Thu,||8:30–10:00 am,||Wegelerstraße 6, Room 6.020 |
|First lecture: ||Tue,||27.10.2015|
|Tutorial: ||Thu,||10:15–11:45 am,||Wegelerstraße 6, Room 6.020 |
|First Tutorial: ||Thu,||5.11.2015|
Notice: Lecture on Thursday,  22.10.15 is cancelled due to the conference "Panorama of Mathematics"
Exercises are handed out on Tuesdays, and are to be handed in one week later.
Theoretical exercises will be complemented with programming problems. The
goal is to implement some of the classical methods covered during the lecture
using the Scientific Computing Tools for Python (SciPy)
Requirements for the exam
Students need to achieve 50% of all points, separately for theory and
Examinations date: Thu, 11.02.16 and Fri, 12.02.16
Hesthaven, J.S. & Warburton, T., Nodal Discontinuous Galerkin Methods. Algorithms, Analysis and Applications. Springer-Verlag New York, 2008.
Deville, M.O., Fischer, P.F. Mund, E.H., High-order methods for incompressible fluid flow. Cambridge Univ. Press, 2002 .
Leveque, Randall J., Finite volume methods for hyperbolic problems. Cambridge Univ. Press, 2011.
Kopriva, D.A., Implementing spectral methods for partial differential equations. Springer 2009.
Some of these books are also available as ebook in the library.