{"id":"https://openalex.org/W2917106731","doi":"https://doi.org/10.1007/978-3-030-22368-7_23","title":"Computing Nonlinear Eigenfunctions via Gradient Flow Extinction","display_name":"Computing Nonlinear Eigenfunctions via Gradient Flow Extinction","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2917106731","doi":"https://doi.org/10.1007/978-3-030-22368-7_23","mag":"2917106731"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-22368-7_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-22368-7_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035045595","display_name":"Leon Bungert","orcid":"https://orcid.org/0000-0002-6554-9892"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Leon Bungert","raw_affiliation_strings":["Department Mathematik, Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstrasse 11, 91058, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"Department Mathematik, Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstrasse 11, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069220813","display_name":"Martin Burger","orcid":"https://orcid.org/0000-0003-2619-2912"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Burger","raw_affiliation_strings":["Department Mathematik, Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstrasse 11, 91058, Erlangen, Germany","University of Erlangen-Nuremberg (FAU), Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"Department Mathematik, Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstrasse 11, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen-Nuremberg (FAU), Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026483039","display_name":"Daniel Tenbrinck","orcid":"https://orcid.org/0000-0002-4788-9332"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Tenbrinck","raw_affiliation_strings":["Department Mathematik, Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstrasse 11, 91058, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"Department Mathematik, Universit\u00e4t Erlangen-N\u00fcrnberg, Cauerstrasse 11, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035045595"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.9243,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.93344895,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"291","last_page":"302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.9222490191459656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.612440288066864},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5899029970169067},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5853349566459656},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.481635719537735},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.4808686375617981},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4603199362754822},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.44942378997802734},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4242267906665802},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.271731972694397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22073277831077576},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20108404755592346},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18743303418159485},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1609135866165161},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11328914761543274}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.9222490191459656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.612440288066864},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5899029970169067},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5853349566459656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.481635719537735},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.4808686375617981},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4603199362754822},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.44942378997802734},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4242267906665802},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.271731972694397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22073277831077576},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20108404755592346},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18743303418159485},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1609135866165161},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11328914761543274},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-22368-7_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-22368-7_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1826824261","https://openalex.org/W2020198739","https://openalex.org/W2092663520","https://openalex.org/W2121947440","https://openalex.org/W2125658625","https://openalex.org/W2132914434","https://openalex.org/W2135192052","https://openalex.org/W2136935487","https://openalex.org/W2748318697","https://openalex.org/W2803069484","https://openalex.org/W2803570889","https://openalex.org/W2887607970","https://openalex.org/W2963201951","https://openalex.org/W2963341012","https://openalex.org/W2963437084","https://openalex.org/W2963706714","https://openalex.org/W3104633264","https://openalex.org/W3161271489","https://openalex.org/W4299544845","https://openalex.org/W6846159729"],"related_works":["https://openalex.org/W2245403906","https://openalex.org/W4286382504","https://openalex.org/W2393344178","https://openalex.org/W2575776545","https://openalex.org/W2111336616","https://openalex.org/W2035082207","https://openalex.org/W3102086522","https://openalex.org/W2950102358","https://openalex.org/W2140467427","https://openalex.org/W2954778286"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}