{"id":"https://openalex.org/W2068835223","doi":"https://doi.org/10.1016/s0893-9659(04)90035-3","title":"Renormalization group methods for nonlinear parabolic equations","display_name":"Renormalization group methods for nonlinear parabolic equations","publication_year":2004,"publication_date":"2004-02-01","ids":{"openalex":"https://openalex.org/W2068835223","doi":"https://doi.org/10.1016/s0893-9659(04)90035-3","mag":"2068835223"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(04)90035-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(04)90035-3","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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/A5005319900","display_name":"H. Merdan","orcid":"https://orcid.org/0000-0003-2311-5348"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"H. Merdan","raw_affiliation_strings":["Mathematics Department, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081095860","display_name":"Gunduz Caginalp","orcid":"https://orcid.org/0000-0003-4137-6680"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Caginalp","raw_affiliation_strings":["Mathematics Department, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005319900"],"corresponding_institution_ids":["https://openalex.org/I170201317"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":0.5074,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66371233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"2","first_page":"217","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9983000159263611,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9144310355186462},{"id":"https://openalex.org/keywords/renormalization-group","display_name":"Renormalization group","score":0.6574254631996155},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6184285283088684},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.502860963344574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47214677929878235},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.42107492685317993},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37780627608299255},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.37253087759017944},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.20460858941078186},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058730900287628174}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9144310355186462},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.6574254631996155},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6184285283088684},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.502860963344574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47214677929878235},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.42107492685317993},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37780627608299255},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37253087759017944},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.20460858941078186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058730900287628174},{"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:10.1016/s0893-9659(04)90035-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(04)90035-3","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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":6,"referenced_works":["https://openalex.org/W565965940","https://openalex.org/W1519068578","https://openalex.org/W1971593452","https://openalex.org/W1997694212","https://openalex.org/W2042119318","https://openalex.org/W2164374191"],"related_works":["https://openalex.org/W2493130192","https://openalex.org/W1515966946","https://openalex.org/W2037772353","https://openalex.org/W2058479834","https://openalex.org/W3121845410","https://openalex.org/W4389071983","https://openalex.org/W4285706894","https://openalex.org/W1965819157","https://openalex.org/W138386385","https://openalex.org/W2951173006"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}