{"id":"https://openalex.org/W2166917874","doi":"https://doi.org/10.1007/s11075-005-9006-2","title":"Numerical aspects of TV flow","display_name":"Numerical aspects of TV flow","publication_year":2005,"publication_date":"2005-12-02","ids":{"openalex":"https://openalex.org/W2166917874","doi":"https://doi.org/10.1007/s11075-005-9006-2","mag":"2166917874"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-005-9006-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-005-9006-2","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.22028/D291-26310","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075931354","display_name":"Michael Breu\u00df","orcid":"https://orcid.org/0000-0002-5322-2411"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Breu\u00df","raw_affiliation_strings":["Computational Mathematics, TU Braunschweig, Pockelsstra\u00dfe 14, 38106, Braunschweig, Germany"],"affiliations":[{"raw_affiliation_string":"Computational Mathematics, TU Braunschweig, Pockelsstra\u00dfe 14, 38106, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012728619","display_name":"Andrea B\u00fcrgel","orcid":null},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andrea B\u00fcrgel","raw_affiliation_strings":["Computational Mathematics, TU Braunschweig, Pockelsstra\u00dfe 14, 38106, Braunschweig, Germany"],"affiliations":[{"raw_affiliation_string":"Computational Mathematics, TU Braunschweig, Pockelsstra\u00dfe 14, 38106, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070290355","display_name":"Thomas Brox","orcid":"https://orcid.org/0000-0002-6282-8861"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Brox","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik und Informatik, Universit\u00e4t des Saarlandes, Geb\u00e4ude 27.1, 66041, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik und Informatik, Universit\u00e4t des Saarlandes, Geb\u00e4ude 27.1, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024779458","display_name":"Thomas Sonar","orcid":"https://orcid.org/0000-0003-2518-5809"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Sonar","raw_affiliation_strings":["Computational Mathematics, TU Braunschweig, Pockelsstra\u00dfe 14, 38106, Braunschweig, Germany"],"affiliations":[{"raw_affiliation_string":"Computational Mathematics, TU Braunschweig, Pockelsstra\u00dfe 14, 38106, Braunschweig, Germany","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007086183","display_name":"Joachim Weickert","orcid":"https://orcid.org/0000-0002-8494-0045"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Weickert","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik und Informatik, Universit\u00e4t des Saarlandes, Geb\u00e4ude 27.1, 66041, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik und Informatik, Universit\u00e4t des Saarlandes, Geb\u00e4ude 27.1, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5075931354"],"corresponding_institution_ids":["https://openalex.org/I94509681"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2719,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8114632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"41","issue":"1","first_page":"79","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9959999918937683,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9959999918937683,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9937000274658203,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7254968881607056},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6952202320098877},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.6893566846847534},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6404908895492554},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.5724359154701233},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5354592800140381},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5205382108688354},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45662248134613037},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.43775004148483276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4235663115978241},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.4232226610183716},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4123408794403076},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2743489444255829},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24608772993087769},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21043714880943298},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10223633050918579}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7254968881607056},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6952202320098877},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.6893566846847534},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6404908895492554},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.5724359154701233},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5354592800140381},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5205382108688354},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45662248134613037},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.43775004148483276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4235663115978241},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.4232226610183716},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4123408794403076},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2743489444255829},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24608772993087769},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21043714880943298},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10223633050918579},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11075-005-9006-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-005-9006-2","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.170.6891","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.170.6891","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uni-sb.de/service/preprints/preprint148.pdf","raw_type":"text"},{"id":"pmh:oai:publikationen.sulb.uni-saarland.de:20.500.11880/26366","is_oa":true,"landing_page_url":"http://dx.doi.org/10.22028/D291-26310","pdf_url":null,"source":{"id":"https://openalex.org/S4377196383","display_name":"Publications of the UdS (Saarland University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91712215","host_organization_name":"Saarland University","host_organization_lineage":["https://openalex.org/I91712215"],"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":"","raw_type":"doc-type:preprint"},{"id":"doi:10.22028/d291-26310","is_oa":true,"landing_page_url":"https://doi.org/10.22028/d291-26310","pdf_url":null,"source":{"id":"https://openalex.org/S7407052975","display_name":"Universit\u00e4t des Saarlandes","issn_l":null,"issn":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:publikationen.sulb.uni-saarland.de:20.500.11880/26366","is_oa":true,"landing_page_url":"http://dx.doi.org/10.22028/D291-26310","pdf_url":null,"source":{"id":"https://openalex.org/S4377196383","display_name":"Publications of the UdS (Saarland University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91712215","host_organization_name":"Saarland University","host_organization_lineage":["https://openalex.org/I91712215"],"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":"","raw_type":"doc-type:preprint"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W131852939","https://openalex.org/W431549680","https://openalex.org/W1480546554","https://openalex.org/W1485265639","https://openalex.org/W1506342804","https://openalex.org/W1555627060","https://openalex.org/W1598812702","https://openalex.org/W1602798041","https://openalex.org/W2017848200","https://openalex.org/W2020198739","https://openalex.org/W2022088322","https://openalex.org/W2028421615","https://openalex.org/W2034976587","https://openalex.org/W2065164181","https://openalex.org/W2071684112","https://openalex.org/W2089231054","https://openalex.org/W2103559027","https://openalex.org/W2122661899","https://openalex.org/W2139062072","https://openalex.org/W2156575092","https://openalex.org/W2480154215","https://openalex.org/W4253913206"],"related_works":["https://openalex.org/W2351083540","https://openalex.org/W2953854768","https://openalex.org/W2389690162","https://openalex.org/W2039467239","https://openalex.org/W4231686530","https://openalex.org/W2060497234","https://openalex.org/W3185647786","https://openalex.org/W2039023896","https://openalex.org/W2028790718","https://openalex.org/W2963708354"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}