{"id":{"repo_id":"bielefeld","oai_identifier":"oai:pub.uni-bielefeld.de:2967771"},"canonical_url":"https://search.dev.ndltd.org/etd/bielefeld/oai:pub.uni-bielefeld.de:2967771","repository":{"repo_id":"bielefeld","name":"Universität Bielefeld","base_url":"https://pub.uni-bielefeld.de/oai"},"display":{"title":"Following manifolds in equivariant evolution equations","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Röndigs, Jochen"],"institution":"Universität Bielefeld","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-11-02","date_published":"2022-11-02","updated_at":"2026-07-27T18:50:04Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://pub.uni-bielefeld.de/record/2967771","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Röndigs, Jochen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Universitätsbibliothek Bielefeld"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Universität Bielefeld"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Following manifolds in equivariant evolution equations"]}]}],"canonical_facts":{"dc:creator":["Röndigs, Jochen"],"dc:description.abstract":["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."],"dc:format.medium":["application/pdf"],"dc:publisher":["Universitätsbibliothek Bielefeld"],"dc:title":["Following manifolds in equivariant evolution equations"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Universität Bielefeld"]},"updated_at":"2026-07-27T18:50:04Z"}