Applied and Computational Mathematics (ACM)

Lab Exercises for Numerical Analysis and Simulation II: PDEs

Summerterm 2021

Organiser

Friedemann Klaß

Type

Lab exercises / Programmierpraktikum (2 SWS).

Target audience

The lab exercises are dedicated to participants of the lecture Numerical Analysis and Simulation II: PDEs.
For general information on lab exercises corresponding to the Master programme Mathematics, see the handbook (page 115).

Contents

The lab exercises include the implementation of methods, which are introduced in the lecture Numerical Analysis and Simulation II: PDEs.

Procedure

  • In total four programming exercises. To pass the course three out of the four exercises have to be implemented and presented successfully.
  • The exercises can be done in groups of 1-3 persons. Each group will present and explain their implementations at corresponding meetings. A list of possible dates will be provided for each lab exercise.
  • Office hours will be provided via email sign up.

Literature

  • Ch. Großmann, H.-G. Roos, M. Stynes, Numerical Treatment of Partial Differential Equations, Springer, Berlin 2007. (parts of Chapters 1-4)
  • H.R. Schwarz, J. Waldvogel, Numerical Analysis: A Comprehensive Introduction, John Wiley & Sons, 1989. (Chapter 10)
  • D. Braess, Finite Elements, 3rd ed., Cambridge University Press, 2007.
  • R.J. LeVeque, Numerical Methods for Conservation Laws. Birkhäuser, Basel, 1992.