Following manifolds in equivariant evolution equations

This thesis provides a first step into the utilisation of infinitedimensional symmetry in the freezing method. We cover the theoretical foundation and introduce the freezing system based on equivariance with respect to the diffeomorphism group. Furthermore, phase conditions are created that explicitly use the infinite-dimensional setting. These results are then implemented in numerical algorithms, and the thesis concludes with experiments that demonstrate how powerful the extension to infinite-dimensional Lie groups can be.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Bielefeld

Year

2022

Author dc:creator

• Röndigs, Jochen

Repository record source_url

https://pub.uni-bielefeld.de/record/2967771

OAI identifier oai:identifier

oai:pub.uni-bielefeld.de:2967771