{"id":"https://openalex.org/W1485388721","doi":"https://doi.org/10.1007/bf02241855","title":"On the numerical solution of double-periodic elliptic eigenvalue problems","display_name":"On the numerical solution of double-periodic elliptic eigenvalue problems","publication_year":1989,"publication_date":"1989-06-01","ids":{"openalex":"https://openalex.org/W1485388721","doi":"https://doi.org/10.1007/bf02241855","mag":"1485388721"},"language":"en","primary_location":{"id":"doi:10.1007/bf02241855","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241855","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"type":"article","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/A5049230906","display_name":"Eckart W. Gekeler","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Eckart W. Gekeler","raw_affiliation_strings":["Mathematisches Institut A, Universit\u00e4t Stuttgart, Postfach 801140, D-7000, Stuttgart 80, West Germany","Mathematisches Institut A, Universit\u00e4t Stuttgart, Stuttgart 80, West-Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut A, Universit\u00e4t Stuttgart, Postfach 801140, D-7000, Stuttgart 80, West Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Mathematisches Institut A, Universit\u00e4t Stuttgart, Stuttgart 80, West-Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049230906"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.4764,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56612419,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"2","first_page":"97","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9642000198364258,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9642000198364258,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9502999782562256,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.933899998664856,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8110684156417847},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7642717361450195},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6747090816497803},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.6260194778442383},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.600959062576294},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5259742140769958},{"id":"https://openalex.org/keywords/elliptic-function","display_name":"Elliptic function","score":0.48095718026161194},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4628296196460724},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4546357989311218},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45411303639411926},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43531233072280884},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35088610649108887},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.32954174280166626},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32278192043304443},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25226712226867676},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1182985007762909},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10958924889564514},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08188608288764954}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8110684156417847},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7642717361450195},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6747090816497803},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6260194778442383},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.600959062576294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5259742140769958},{"id":"https://openalex.org/C123958593","wikidata":"https://www.wikidata.org/wiki/Q938102","display_name":"Elliptic function","level":2,"score":0.48095718026161194},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4628296196460724},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4546357989311218},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45411303639411926},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43531233072280884},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35088610649108887},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.32954174280166626},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32278192043304443},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25226712226867676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1182985007762909},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10958924889564514},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08188608288764954},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02241855","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241855","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1485778942","https://openalex.org/W1514073009","https://openalex.org/W1514319473","https://openalex.org/W1562427428","https://openalex.org/W1603340857","https://openalex.org/W1965778005","https://openalex.org/W1969557974","https://openalex.org/W1990503465","https://openalex.org/W1992806809","https://openalex.org/W2000829282","https://openalex.org/W2004493559","https://openalex.org/W2024476127","https://openalex.org/W2028407360","https://openalex.org/W2038870527","https://openalex.org/W2042834506","https://openalex.org/W2064386875","https://openalex.org/W2075056086","https://openalex.org/W2088818297","https://openalex.org/W2091053830","https://openalex.org/W2104920912","https://openalex.org/W2136203570","https://openalex.org/W2479203445","https://openalex.org/W4213213245","https://openalex.org/W6666553844"],"related_works":["https://openalex.org/W1978496658","https://openalex.org/W2023044266","https://openalex.org/W4302282813","https://openalex.org/W3132233781","https://openalex.org/W2027451126","https://openalex.org/W2009896212","https://openalex.org/W2094196462","https://openalex.org/W4210984194","https://openalex.org/W2004666194","https://openalex.org/W4300007337"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}