Structure-preserving numerics in plasma physics

Many properties of a plasma that are not, or not in detail, experimentally accessible can be systematically investigated only in computer simulations. Many codes, however, use numerical methods that insufficiently take into account important properties of mathematical equations. This results in important phenomena not being reproduced in simulations. So-called structure-preserving integration methods could be the remedy. These combine ideas from numerics, physics, and geometry and allow more realistic simulations than classical methods.