{"id":"https://openalex.org/W1986719172","doi":"https://doi.org/10.1007/s00211-005-0642-1","title":"A numerical algorithm for the nonlinear Kirchhoff string equation","display_name":"A numerical algorithm for the nonlinear Kirchhoff string equation","publication_year":2005,"publication_date":"2005-11-10","ids":{"openalex":"https://openalex.org/W1986719172","doi":"https://doi.org/10.1007/s00211-005-0642-1","mag":"1986719172"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-005-0642-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0642-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5007788472","display_name":"Jemal Peradze","orcid":null},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]}],"countries":["GE"],"is_corresponding":true,"raw_author_name":"Jemal Peradze","raw_affiliation_strings":["Department of Applied Mathematics and Computer Sciences, Tbilisi State University, University Street 2, Tbilisi, 0177, Georgia","Department of Applied Mathematics and Computer Sciences, Tbilisi State University, University Street 2, 0177, Tbilisi, Georgia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Sciences, Tbilisi State University, University Street 2, Tbilisi, 0177, Georgia","institution_ids":["https://openalex.org/I102808428"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Sciences, Tbilisi State University, University Street 2, 0177, Tbilisi, Georgia#TAB#","institution_ids":["https://openalex.org/I102808428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007788472"],"corresponding_institution_ids":["https://openalex.org/I102808428"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4307,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.61420765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"102","issue":"2","first_page":"311","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9921000003814697,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9921000003814697,"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/T11416","display_name":"Numerical methods for differential equations","score":0.991599977016449,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.991100013256073,"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/mathematics","display_name":"Mathematics","score":0.88746178150177},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7596773505210876},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6682342290878296},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6282762289047241},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.489358127117157},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48639705777168274},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4699338376522064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4627295732498169},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45318764448165894},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34570473432540894}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.88746178150177},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7596773505210876},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6682342290878296},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6282762289047241},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.489358127117157},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48639705777168274},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4699338376522064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4627295732498169},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45318764448165894},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34570473432540894},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"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/s00211-005-0642-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0642-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W17267452","https://openalex.org/W1539264301","https://openalex.org/W1569647373","https://openalex.org/W1599569396","https://openalex.org/W1964287599","https://openalex.org/W1965080837","https://openalex.org/W1990004636","https://openalex.org/W2000931360","https://openalex.org/W2009918899","https://openalex.org/W2015198309","https://openalex.org/W2017577410","https://openalex.org/W2043694165","https://openalex.org/W2070730891","https://openalex.org/W2071713977","https://openalex.org/W2080979528","https://openalex.org/W2082258942","https://openalex.org/W2086028541","https://openalex.org/W2100885122","https://openalex.org/W2126491247","https://openalex.org/W2477305477","https://openalex.org/W2567389492"],"related_works":["https://openalex.org/W2043686470","https://openalex.org/W2096756136","https://openalex.org/W220460885","https://openalex.org/W2338788679","https://openalex.org/W1992244398","https://openalex.org/W2057106870","https://openalex.org/W2168013677","https://openalex.org/W2371561762","https://openalex.org/W2070144563","https://openalex.org/W3000924672"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
