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Particle in Cell Methods for the Vlasov-Maxwell Equations

CIT413049Elective Modules5 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

In this module you will learn numerical Particle-in-Cell methods for the Vlasov–Maxwell equations. You will understand both deterministic and stochastic particle methods, structure-preserving discretizations with the discrete de-Rham complex, and you will be able to formulate and implement in Python geometric algorithms for Vlasov–Maxwell problems.

What you will be able to do

  • Particle discretization of transport equations (deterministic and probabilistic)
  • Monte-Carlo approximations and variance-reduction techniques
  • conceptual application of geometric discretization and the de-Rham complex
  • development and implementation of geometric Particle-in-Cell algorithms in Python

What the module consists of

  • VorlesungExplains and discusses the theoretical content; lecture notes are provided for self-study
  • ComputerübungenImplementation of the main algorithms in Python for practical deepening

Teaching method

  • Vorlesungsskript / PDFused for self-study and forms the basis of the explanations
  • Vorlesung mit Diskussionfor conveying and discussing the content with the students
  • Computer-Übungsklassento practically implement the numerical algorithms in Python
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Official page in TUMonline · Details are not binding.