#### Lecture in WS 2014/15:

# Numerical Algorithms (V4E1)

The topics of the lecture are hp-Finite Element Methods, theory and numerics of conservation laws and the Discontinous Galerkin Method.

#### Compulsory prior knowledge

Wissenschaftliches Rechnen I / Scientific Computing I

#### Lecture and Tutorial

The lecture will be Tuesdays from 10:15 - 12:00 and alternating with the tutorial Thursdays from 8:30 - 10:00 or Wednesdays from 16:00 - 17:30.
(On October, 15, the lecture starts at 16:15)
The lecture and the tutorial will be in held in the Wegelerstraße 6, Seminarraum 6.020.

week |
Tuesday |
Wednesday |
Thursday |

06.10-10.10 |
Lecture |
- |
Lecture |

13.10-17.10 |
Lecture |
Lecture |
Lecture |

20.10-24.10 |
Lecture |
Lecture |
Tutorial |

27.10-31.10 |
Lecture |
Tutorial |
Lecture |

03.11-07.11 |
Lecture |
Tutorial |
- |

10.11-14.11 |
Lecture |
Lecture |
Tutorial |

17.11-21.11 |
Lecture |
Tutorial |
Lecture |

24.11-28.11 |
Lecture |
Lecture |
Tutorial |

01.12-05.12 |
Lecture |
- |
Lecture |

08.12-12.12 |
Lecture |
Lecture |
Tutorial |

15.12-19.12 |
Lecture |
Tutorial |
Lecture |

22.12-26.12 |
- |
- |
- |

05.01-09.01 |
Lecture |
Lecture |
Lecture |

12.01-16.01 |
Lecture |
Tutorial |
Tutorial |

19.01-23.01 |
Lecture |
Tutorial |
Lecture |

26.01-30.01 |
Lecture |
- |
- |

Consultation hour of Prof. Beuchler: Wednesdays 10:30-11:30.

#### Final Exam

The oral examinations will take place on the 4th/6th of February and the 25th of March 2015!

#### Lecture Script

The current version (11.12.2014) of the lecture script can be found here: LectureScript.

#### Exercises

For admittance to the final exam you have to score 50% or more points for both, the theoretical and the programming exercises, separately. If you want to use the prepared code for the
programming exercises please send an e-mail to hofer@ins.uni-bonn.de .

#### Literature

Ch. Schwab: p-and hp-Finite Element Methods. Oxford University Press, 1998
L. Demkowicz: Computing with hp-adaptive Finite Elements, Chapman and Hall
G. Karniadakis, S.Sherwin: Spectral/hp Element Methods for Computational Fluid Dynamics, Oxford Science Publications, 2005
D. Di Pietro, A. Ern: Mathematical Aspects of Discontinuous Galerkin Methods, Springer, 2012
J. Hesthaven, T. Warburton: Nodal Discontinuous Galerkin Methods. Algorithms, Analysis and Applications. Springer, 2008
R. Leveque: Finite Volume Methods for Hyperbolic Problems. Cambridge Texts in Applied Mathematics, 2002
D. Kroener: Numerical Schemes for Conservation Laws. Wiley, Teubner, 1997
B. Cockburn: Discontinuous Galerkin methods. Plenary lecture presented at the 80th Annual GAMM Conference, Augsburg, 25-28 March 2002
##### Programming

- B. Stroustrup: The C++ Programming Language
- B. Eckel: Thinking in C++ [free to download]