{"id":"https://openalex.org/W2024793288","doi":"https://doi.org/10.1016/s0893-9659(03)80049-6","title":"Exact solution of variable coefficient mixed hyperbolic partial differential problems","display_name":"Exact solution of variable coefficient mixed hyperbolic partial differential problems","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W2024793288","doi":"https://doi.org/10.1016/s0893-9659(03)80049-6","mag":"2024793288"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(03)80049-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(03)80049-6","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/A5019946648","display_name":"Mar\u00eda Jos\u00e9 Rodr\u00edguez-\u00c1lvarez","orcid":"https://orcid.org/0000-0001-8333-8792"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M.J. Rodriguez-Alvarez","raw_affiliation_strings":["Instituto de Matem\u00e1tica Multidisciplinar Universidad Polit\u00e9cnica de Valencia, Spain","Instituto de Matem\u00e1tica Multidisciplinar, Universidad Politecnica de Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar Universidad Polit\u00e9cnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar, Universidad Politecnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011159515","display_name":"Gregorio Rubio","orcid":"https://orcid.org/0000-0003-2132-834X"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"G. Rubio","raw_affiliation_strings":["Instituto de Matem\u00e1tica Multidisciplinar Universidad Polit\u00e9cnica de Valencia, Spain","Instituto de Matem\u00e1tica Multidisciplinar, Universidad Politecnica de Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar Universidad Polit\u00e9cnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar, Universidad Politecnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083229284","display_name":"L. J\u00f3dar","orcid":"https://orcid.org/0000-0002-9672-6249"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"L. J\u00f3dar","raw_affiliation_strings":["Instituto de Matem\u00e1tica Multidisciplinar Universidad Polit\u00e9cnica de Valencia, Spain","Instituto de Matem\u00e1tica Multidisciplinar, Universidad Politecnica de Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar Universidad Polit\u00e9cnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar, Universidad Politecnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045186701","display_name":"Abel Enrique Posso","orcid":null},"institutions":[{"id":"https://openalex.org/I200183955","display_name":"Technological University of Pereira","ror":"https://ror.org/01d981710","country_code":"CO","type":"education","lineage":["https://openalex.org/I200183955"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"A.E. Posso","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Universidad Tecnol\u00f3gica de Pereira, Colombia","Departamento de Matem\u00e1ticas. Universidad Tecnol\u00f3gica de Pereira, Colombia"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Universidad Tecnol\u00f3gica de Pereira, Colombia","institution_ids":["https://openalex.org/I200183955"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas. Universidad Tecnol\u00f3gica de Pereira, Colombia","institution_ids":["https://openalex.org/I200183955"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011159515","https://openalex.org/A5019946648","https://openalex.org/A5045186701","https://openalex.org/A5083229284"],"corresponding_institution_ids":["https://openalex.org/I200183955","https://openalex.org/I60053951"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.15264086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"3","first_page":"309","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9952999949455261,"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":0.9940000176429749,"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":0.8996076583862305},{"id":"https://openalex.org/keywords/variable-coefficient","display_name":"Variable coefficient","score":0.78865647315979},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6122831702232361},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.550689697265625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5076190233230591},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.5034856200218201},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4874842166900635},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.46784958243370056},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.44473621249198914},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.443543940782547},{"id":"https://openalex.org/keywords/constant-coefficients","display_name":"Constant coefficients","score":0.4363473653793335}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8996076583862305},{"id":"https://openalex.org/C3018795394","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Variable coefficient","level":2,"score":0.78865647315979},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6122831702232361},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.550689697265625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5076190233230591},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.5034856200218201},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4874842166900635},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.46784958243370056},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.44473621249198914},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.443543940782547},{"id":"https://openalex.org/C110342517","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Constant coefficients","level":2,"score":0.4363473653793335},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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:10.1016/s0893-9659(03)80049-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(03)80049-6","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":7,"referenced_works":["https://openalex.org/W2013376693","https://openalex.org/W2055113655","https://openalex.org/W2072090134","https://openalex.org/W2072313805","https://openalex.org/W2087519630","https://openalex.org/W3115050390","https://openalex.org/W4238298961"],"related_works":["https://openalex.org/W2391102123","https://openalex.org/W2939409110","https://openalex.org/W4224319983","https://openalex.org/W2361976402","https://openalex.org/W2272074809","https://openalex.org/W3024417761","https://openalex.org/W1974207849","https://openalex.org/W2382994547","https://openalex.org/W2362717733","https://openalex.org/W2049610884"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}