Geometric Methods for Physics of Magnetised Plasmas
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.
Module version of SS 2016
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|SS 2018||SS 2016|
MA5333 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
Perturbative Lie-Transform dynamical reduction method, derivation of Ampere, Poisson and kinetic equation from the variational principle as well as derivation of conservation laws are presented.
One of the targets consists in bringing together continuous and discrete versions of variational dynamical description. As an example of numerical implementation it will be shown how that discretised form of dynamics can be implementated to the Particle-In-Cell Monte-Carlo simulations.
- knowledge of perturbative geometrical methods for construction of dynamical reduction procedure in multi-scaled dynamical system.
- advanced variational calculus and Noether methods for conservation laws derivation: in continuous and Monte-Carlo finite element discretisation form.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||2||Geometric Methods for Physics of Magnetized Plasmas||Tronko, N.|
|UE||1||Geometric Methods for Physics of Magnetized Plasmas (Exercise Session)||Tronko, N.|
Learning and Teaching Methods
- Douglas Arnold, Richard Falk, and Ragnar Winther. "Finite element exterior calculus: from Hodge theory to numerical stability." Bulletin of the American mathematical society 47.2 (2010): 281-354.
- Jasper Kreeft, Artur Palha, and Marc Gerritsma. "Mimetic framework on curvilinear quadrilaterals of arbitrary order." arXiv preprint arXiv:1111.4304 (2011).
Description of exams and course work
The exam may be repeated at the end of the semester.