{"id":"https://openalex.org/W2058083480","doi":"https://doi.org/10.1007/s10915-013-9800-2","title":"A Class of Incomplete Riemann Solvers Based on Uniform Rational Approximations to the Absolute Value Function","display_name":"A Class of Incomplete Riemann Solvers Based on Uniform Rational Approximations to the Absolute Value Function","publication_year":2013,"publication_date":"2013-11-09","ids":{"openalex":"https://openalex.org/W2058083480","doi":"https://doi.org/10.1007/s10915-013-9800-2","mag":"2058083480"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9800-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9800-2","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":"https://openalex.org/A5005054247","display_name":"Manuel J. Castro","orcid":"https://orcid.org/0000-0003-3164-7715"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel J. Castro","raw_affiliation_strings":["Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, Campus de Teatinos s/n, 29080\u00a0, M\u00e1laga, Spain","Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, M\u00e1laga, Spain 29080#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, Campus de Teatinos s/n, 29080\u00a0, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, M\u00e1laga, Spain 29080#TAB#","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101921738","display_name":"Jos\u00e9 M. Gallardo","orcid":"https://orcid.org/0000-0002-6586-178X"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 M. Gallardo","raw_affiliation_strings":["Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, Campus de Teatinos s/n, 29080\u00a0, M\u00e1laga, Spain","Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, M\u00e1laga, Spain 29080#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, Campus de Teatinos s/n, 29080\u00a0, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de M\u00e1laga, M\u00e1laga, Spain 29080#TAB#","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062369970","display_name":"Antonio Marquina","orcid":"https://orcid.org/0000-0001-8767-4208"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Marquina","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad de Valencia, Avda. Dr. Moliner 50, 46100\u00a0, Burjassot-Valencia, Spain","Departamento de Matematica Aplicada, Universidad de Valencia, Burjassot-Valencia, Spain 46100"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad de Valencia, Avda. Dr. Moliner 50, 46100\u00a0, Burjassot-Valencia, Spain","institution_ids":["https://openalex.org/I16097986"]},{"raw_affiliation_string":"Departamento de Matematica Aplicada, Universidad de Valencia, Burjassot-Valencia, Spain 46100","institution_ids":["https://openalex.org/I16097986"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.1745,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.91086221,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"2","first_page":"363","last_page":"389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9993000030517578,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8382362127304077},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.5467761754989624},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5032584071159363},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.4845253825187683},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.47311922907829285},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46372339129447937},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.4377692937850952},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.16100475192070007},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08394110202789307}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8382362127304077},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.5467761754989624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5032584071159363},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4845253825187683},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.47311922907829285},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46372339129447937},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.4377692937850952},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.16100475192070007},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08394110202789307},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-013-9800-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9800-2","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":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W115528814","https://openalex.org/W1537224157","https://openalex.org/W1553798826","https://openalex.org/W1558432760","https://openalex.org/W1971166309","https://openalex.org/W1980507580","https://openalex.org/W1985715533","https://openalex.org/W1986742199","https://openalex.org/W1993237692","https://openalex.org/W2001231809","https://openalex.org/W2005106153","https://openalex.org/W2009849678","https://openalex.org/W2010485394","https://openalex.org/W2012975060","https://openalex.org/W2029776525","https://openalex.org/W2041314330","https://openalex.org/W2043057066","https://openalex.org/W2046863157","https://openalex.org/W2056665075","https://openalex.org/W2068056613","https://openalex.org/W2088432916","https://openalex.org/W2092372308","https://openalex.org/W2095063961","https://openalex.org/W2097834406","https://openalex.org/W2108581983","https://openalex.org/W2128506141","https://openalex.org/W2130894377","https://openalex.org/W2145857287","https://openalex.org/W2152122438","https://openalex.org/W2462804364","https://openalex.org/W4205236375","https://openalex.org/W4233764269","https://openalex.org/W4245037559"],"related_works":["https://openalex.org/W4247973796","https://openalex.org/W2133986346","https://openalex.org/W3174853118","https://openalex.org/W2379245068","https://openalex.org/W2924612759","https://openalex.org/W2161856882","https://openalex.org/W4385807557","https://openalex.org/W2103873498","https://openalex.org/W2046863157","https://openalex.org/W2089199689"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
