Geometric Numerical Integration 1
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
MA5341 is a semester module in English language at Master’s level which is offered irregular.
This Module is included in the following catalogues within the study programs in physics.
- Catalogue of non-physics elective courses
|Total workload||Contact hours||Credits (ECTS)|
|150 h||45 h||5 CP|
Content, Learning Outcome and Preconditions
1. Lagrangian and Hamiltonian Dynamics
2. Symplectic Integrators
3. Backward Error Analysis
4. Volume-Preserving Methods
5. Variational Integrators
6. Energy-Preserving Methods
Ordinary Differential Equations (MA2005)
Numerics of Ordinary Differential Equations (MA2304)
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||2||Geometric Numerical Integration 1 [MA5339]||Kraus, M.|
|UE||1||Geometric Numerical Integration (Exercise Session) [MA5341]||Kraus, M.|
Learning and Teaching Methods
The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should motivate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress.
- Benedict Leimkuhler, Sebastian Reich. Simulating Hamiltonian Dynamics. Cambridge University Press, 2005.
- Jerrold E. Marsden and Matthew West. Discrete Mechanics and Variational Integrators. Acta Numerica 10, 2001.
Description of exams and course work
The exam may be repeated at the end of the semester.