{"id":"https://openalex.org/W2044215489","doi":"https://doi.org/10.1007/s00211-003-0502-9","title":"Numerical approximation of entropy solutions for hyperbolic integro-differential equations","display_name":"Numerical approximation of entropy solutions for hyperbolic integro-differential equations","publication_year":2004,"publication_date":"2004-05-01","ids":{"openalex":"https://openalex.org/W2044215489","doi":"https://doi.org/10.1007/s00211-003-0502-9","mag":"2044215489"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-003-0502-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0502-9","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007929651","display_name":"Andreas Dedner","orcid":"https://orcid.org/0000-0003-4387-9791"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Dedner","raw_affiliation_strings":["Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Hermann-Herder Str. 10, 79104, Freiburg i. Brsg, Germany","Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Freiburg i. Brsg, Germany"],"affiliations":[{"raw_affiliation_string":"Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Hermann-Herder Str. 10, 79104, Freiburg i. Brsg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Freiburg i. Brsg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101833555","display_name":"Christian Rohde","orcid":"https://orcid.org/0000-0001-9183-5094"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Rohde","raw_affiliation_strings":["Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Hermann-Herder Str. 10, 79104, Freiburg i. Brsg, Germany","Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Freiburg i. Brsg, Germany"],"affiliations":[{"raw_affiliation_string":"Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Hermann-Herder Str. 10, 79104, Freiburg i. Brsg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Albert-Ludwigs-Universit\u00e4t Freiburg, Institut f\u00fcr Angewandte Mathematik, Freiburg i. Brsg, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101833555"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.5127,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91922384,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"97","issue":"3","first_page":"441","last_page":"471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9818000197410583,"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/T13234","display_name":"advanced mathematical theories","score":0.9799000024795532,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8518826961517334},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5535750389099121},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5450572967529297},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.47974979877471924},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4646472632884979},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4556347727775574},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4102497398853302},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10254284739494324}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8518826961517334},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5535750389099121},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5450572967529297},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.47974979877471924},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4646472632884979},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4556347727775574},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4102497398853302},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10254284739494324},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-003-0502-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0502-9","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:freidok.uni-freiburg.de:56976","is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/56976","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik. - 97, 3 (2004) , 441-471, ISSN: 0029-599X","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W649066264","https://openalex.org/W1549748890","https://openalex.org/W1584465342","https://openalex.org/W1595775464","https://openalex.org/W1971747754","https://openalex.org/W1992607190","https://openalex.org/W1992812527","https://openalex.org/W2003044633","https://openalex.org/W2005226957","https://openalex.org/W2040415781","https://openalex.org/W2041822426","https://openalex.org/W2043246122","https://openalex.org/W2059977114","https://openalex.org/W2074975010","https://openalex.org/W2076880546","https://openalex.org/W2080697504","https://openalex.org/W2094167530","https://openalex.org/W3187596537"],"related_works":["https://openalex.org/W2501001410","https://openalex.org/W1964124682","https://openalex.org/W2095232916","https://openalex.org/W2401521489","https://openalex.org/W4205231130","https://openalex.org/W2268950858","https://openalex.org/W1963802308","https://openalex.org/W3214543110","https://openalex.org/W4226153041","https://openalex.org/W2009166380"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}