{"id":"https://openalex.org/W2042518967","doi":"https://doi.org/10.1007/s00211-010-0291-x","title":"Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping","display_name":"Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping","publication_year":2010,"publication_date":"2010-04-07","ids":{"openalex":"https://openalex.org/W2042518967","doi":"https://doi.org/10.1007/s00211-010-0291-x","mag":"2042518967"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-010-0291-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0291-x","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":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3233934","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007426190","display_name":"Ademir F. Pazoto","orcid":"https://orcid.org/0000-0002-5843-697X"},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]},{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A. F. Pazoto","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, LNCC, Petr\u00f3polis, Brazil","Institue of Mathematics, Fereral University of Rio, UFRJ, P.O. Box 68530, CEP 21945-970, Rio de Janeiro, RJ, Brasil","Institue of Mathematics, Fereral University of Rio, UFRJ, Rio de Janeiro, Brasil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, LNCC, Petr\u00f3polis, Brazil","institution_ids":["https://openalex.org/I4210142352"]},{"raw_affiliation_string":"Institue of Mathematics, Fereral University of Rio, UFRJ, P.O. Box 68530, CEP 21945-970, Rio de Janeiro, RJ, Brasil","institution_ids":["https://openalex.org/I40034438"]},{"raw_affiliation_string":"Institue of Mathematics, Fereral University of Rio, UFRJ, Rio de Janeiro, Brasil","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080909641","display_name":"Maur\u00edcio Sep\u00falveda","orcid":"https://orcid.org/0000-0001-8463-3830"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"M. Sep\u00falveda","raw_affiliation_strings":["CI2MA and Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile"],"affiliations":[{"raw_affiliation_string":"CI2MA and Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042263104","display_name":"Octavio Vera Villagr\u00e1n","orcid":null},"institutions":[{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"O. Vera Villagr\u00e1n","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad del B\u00edo-B\u00edo, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I221450849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080909641"],"corresponding_institution_ids":["https://openalex.org/I172787465"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2224,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.75624881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"116","issue":"2","first_page":"317","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.987500011920929,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.986299991607666,"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":0.8651065826416016},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6401823163032532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5451979637145996},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5397184491157532},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5385462045669556},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5188735127449036},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.48399782180786133},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.45188108086586},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4405842125415802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4228702485561371},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.41594845056533813},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15668243169784546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.061397939920425415}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8651065826416016},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6401823163032532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5451979637145996},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5397184491157532},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5385462045669556},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5188735127449036},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.48399782180786133},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.45188108086586},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4405842125415802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4228702485561371},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.41594845056533813},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15668243169784546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061397939920425415},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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":3,"locations":[{"id":"doi:10.1007/s00211-010-0291-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-010-0291-x","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"},{"id":"pmh:oai:americanae.aecid.es:3233934","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3233934","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"NUMERISCHE MATHEMATIK","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/144524","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/144524","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"NUMERISCHE MATHEMATIK","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3233934","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3233934","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"NUMERISCHE MATHEMATIK","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W46317803","https://openalex.org/W128512248","https://openalex.org/W1495643052","https://openalex.org/W1515685921","https://openalex.org/W1549114415","https://openalex.org/W1549748890","https://openalex.org/W1592302237","https://openalex.org/W1967211023","https://openalex.org/W1974089852","https://openalex.org/W1980366322","https://openalex.org/W1985982935","https://openalex.org/W1989955731","https://openalex.org/W1996311525","https://openalex.org/W2017130050","https://openalex.org/W2019183355","https://openalex.org/W2026967759","https://openalex.org/W2037008679","https://openalex.org/W2053082643","https://openalex.org/W2054633576","https://openalex.org/W2060499935","https://openalex.org/W2063222962","https://openalex.org/W2065575206","https://openalex.org/W2067674243","https://openalex.org/W2071690997","https://openalex.org/W2073078790","https://openalex.org/W2075085615","https://openalex.org/W2081451815","https://openalex.org/W2083808593","https://openalex.org/W2085333968","https://openalex.org/W2105953118","https://openalex.org/W2118575947","https://openalex.org/W2135519225","https://openalex.org/W2135611868","https://openalex.org/W2165886830","https://openalex.org/W3194374079"],"related_works":["https://openalex.org/W2027202866","https://openalex.org/W3149920197","https://openalex.org/W4293569346","https://openalex.org/W2397056152","https://openalex.org/W2949885877","https://openalex.org/W4252904065","https://openalex.org/W2734496778","https://openalex.org/W2494658963","https://openalex.org/W2129544565","https://openalex.org/W3017235236"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}