{"id":"https://openalex.org/W2000253361","doi":"https://doi.org/10.1007/s10915-013-9687-y","title":"Fast Fourier-Galerkin Methods for Nonlinear Boundary Integral Equations","display_name":"Fast Fourier-Galerkin Methods for Nonlinear Boundary Integral Equations","publication_year":2013,"publication_date":"2013-01-31","ids":{"openalex":"https://openalex.org/W2000253361","doi":"https://doi.org/10.1007/s10915-013-9687-y","mag":"2000253361"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9687-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9687-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific 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":null,"display_name":"Xiangling Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangling Chen","raw_affiliation_strings":["Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People\u2019s Republic of China","National, University of Defense Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People\u2019s Republic of China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"National, University of Defense Technology","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100431128","display_name":"Rui Wang","orcid":"https://orcid.org/0000-0001-6996-5407"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210136497","display_name":"Jilin Medical University","ror":"https://ror.org/03mzw7781","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136497"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rui Wang","raw_affiliation_strings":["School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China","jilin University"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"jilin University","institution_ids":["https://openalex.org/I4210136497"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026572582","display_name":"Yuesheng Xu","orcid":"https://orcid.org/0000-0003-3965-3087"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Yuesheng Xu","raw_affiliation_strings":["Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA","Guangdong Key Laboratory of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","Syracuse University","Sun Yat-Sen University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"Guangdong Key Laboratory of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Syracuse University","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"Sun Yat-Sen University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100431128"],"corresponding_institution_ids":["https://openalex.org/I194450716","https://openalex.org/I4210136497"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8218,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70415603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"56","issue":"3","first_page":"494","last_page":"514"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9986000061035156,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.998199999332428,"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":0.8311576843261719},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.807753324508667},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7263656854629517},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5772567987442017},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5177768468856812},{"id":"https://openalex.org/keywords/split-step-method","display_name":"Split-step method","score":0.5070314407348633},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.49262720346450806},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.48213550448417664},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4727811813354492},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.45766618847846985},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4132896065711975},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4055197834968567},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.20257598161697388},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10194501280784607}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8311576843261719},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.807753324508667},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7263656854629517},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5772567987442017},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5177768468856812},{"id":"https://openalex.org/C134206417","wikidata":"https://www.wikidata.org/wiki/Q2311789","display_name":"Split-step method","level":3,"score":0.5070314407348633},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.49262720346450806},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.48213550448417664},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4727811813354492},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45766618847846985},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4132896065711975},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4055197834968567},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.20257598161697388},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10194501280784607},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/s10915-013-9687-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9687-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific 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":29,"referenced_works":["https://openalex.org/W222993076","https://openalex.org/W1591466899","https://openalex.org/W1978142553","https://openalex.org/W1982949943","https://openalex.org/W2006882814","https://openalex.org/W2012163315","https://openalex.org/W2014208709","https://openalex.org/W2015102866","https://openalex.org/W2024654917","https://openalex.org/W2025394962","https://openalex.org/W2027590575","https://openalex.org/W2034617954","https://openalex.org/W2041915715","https://openalex.org/W2043569612","https://openalex.org/W2052845584","https://openalex.org/W2054679033","https://openalex.org/W2059852919","https://openalex.org/W2060819023","https://openalex.org/W2061486861","https://openalex.org/W2066681436","https://openalex.org/W2068795410","https://openalex.org/W2071383673","https://openalex.org/W2071983833","https://openalex.org/W2082677022","https://openalex.org/W2101793499","https://openalex.org/W2104506124","https://openalex.org/W3021528686","https://openalex.org/W4254630587","https://openalex.org/W4292232969"],"related_works":["https://openalex.org/W1963845699","https://openalex.org/W2061461757","https://openalex.org/W2389601816","https://openalex.org/W3191646105","https://openalex.org/W2069733545","https://openalex.org/W2024862778","https://openalex.org/W2942108226","https://openalex.org/W2748928884","https://openalex.org/W2071875410","https://openalex.org/W4245244288"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}