{"id":"https://openalex.org/W1655778037","doi":"https://doi.org/10.1007/b106657_9","title":"Flow Visualization via Partial Differential Equations","display_name":"Flow Visualization via Partial Differential Equations","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1655778037","doi":"https://doi.org/10.1007/b106657_9","mag":"1655778037"},"language":"en","primary_location":{"id":"doi:10.1007/b106657_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/b106657_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"},"type":"book-chapter","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/A5102789360","display_name":"Tobias Preu\u00dfer","orcid":"https://orcid.org/0000-0002-4339-8675"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tobias Preusser","raw_affiliation_strings":["Center for Complex Systems and Visualization, University of Bremen, Universit\u00e4tsallee 29, 28359, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Center for Complex Systems and Visualization, University of Bremen, Universit\u00e4tsallee 29, 28359, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063603168","display_name":"Martin Rumpf","orcid":"https://orcid.org/0000-0001-6049-9390"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Rumpf","raw_affiliation_strings":["Institute for Numerical Simulation, Bonn University, Nussallee 15, 53115, Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, Bonn University, Nussallee 15, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110103090","display_name":"Alex Telea","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alex Telea","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University, Den Dolech 2, Eindhoven, Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University, Den Dolech 2, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102789360"],"corresponding_institution_ids":["https://openalex.org/I180437899"],"apc_list":null,"apc_paid":null,"fwci":0.9572,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.752443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"157","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9860000014305115,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9854000210762024,"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/visualization","display_name":"Visualization","score":0.735000729560852},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.6184321045875549},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5897913575172424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5883203744888306},{"id":"https://openalex.org/keywords/flow-visualization","display_name":"Flow visualization","score":0.534278154373169},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5150327682495117},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.43368351459503174},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.334075391292572},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32746684551239014},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2779730558395386},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24397510290145874},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.17379838228225708},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15502560138702393},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1319919228553772}],"concepts":[{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.735000729560852},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.6184321045875549},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5897913575172424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5883203744888306},{"id":"https://openalex.org/C83893533","wikidata":"https://www.wikidata.org/wiki/Q5462121","display_name":"Flow visualization","level":3,"score":0.534278154373169},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5150327682495117},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.43368351459503174},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.334075391292572},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32746684551239014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2779730558395386},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24397510290145874},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.17379838228225708},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15502560138702393},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1319919228553772}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/b106657_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/b106657_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"},{"id":"pmh:685558","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=685558","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:978-3-540-25076-0","raw_type":"Part of book or chapter of book"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.545.3018","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.545.3018","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mevis-research.de/~tp/publications/PrRuTe-04.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:685558","is_oa":false,"landing_page_url":"http://repository.tue.nl/685558","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:978-3-540-25076-0","raw_type":"Part of book or chapter of book"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/a87b1668-7f6b-484f-b91c-1bea9e7f4638","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/a87b1668-7f6b-484f-b91c-1bea9e7f4638","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Preusser, T, Rumpf, M & Telea, A C 2009, Flow visualization via partial differential equations. in T M\u00f6ller, B Hamann & R D Russell (eds), Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration. Mathematics and Visualization, Springer, Berlin, pp. 157-189. https://doi.org/10.1007/b106657_9","raw_type":"bookPart"},{"id":"pmh:tue:oai:pure.tue.nl:publications/a87b1668-7f6b-484f-b91c-1bea9e7f4638","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/a87b1668-7f6b-484f-b91c-1bea9e7f4638","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, 157 - 189","raw_type":"info:eu-repo/semantics/bookpart"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W1480546554","https://openalex.org/W1492700116","https://openalex.org/W1521182415","https://openalex.org/W1566368032","https://openalex.org/W1841687456","https://openalex.org/W1967471690","https://openalex.org/W1976964057","https://openalex.org/W2008125147","https://openalex.org/W2014552949","https://openalex.org/W2016553144","https://openalex.org/W2016966772","https://openalex.org/W2028345935","https://openalex.org/W2034070517","https://openalex.org/W2046528357","https://openalex.org/W2047167129","https://openalex.org/W2047286432","https://openalex.org/W2065164181","https://openalex.org/W2066241849","https://openalex.org/W2071148027","https://openalex.org/W2073470731","https://openalex.org/W2075536798","https://openalex.org/W2082621526","https://openalex.org/W2095611025","https://openalex.org/W2097405194","https://openalex.org/W2099042970","https://openalex.org/W2100506742","https://openalex.org/W2101092654","https://openalex.org/W2104732429","https://openalex.org/W2125638038","https://openalex.org/W2135138099","https://openalex.org/W2137812155","https://openalex.org/W2137833347","https://openalex.org/W2138987052","https://openalex.org/W2144937933","https://openalex.org/W2144995353","https://openalex.org/W2145764059","https://openalex.org/W2147109806","https://openalex.org/W2150134853","https://openalex.org/W2156483005","https://openalex.org/W2167920707","https://openalex.org/W2178368181","https://openalex.org/W2242798320","https://openalex.org/W2270622142","https://openalex.org/W2532599107","https://openalex.org/W2906817826","https://openalex.org/W3027805006","https://openalex.org/W3140480664","https://openalex.org/W3143624176","https://openalex.org/W3145955819","https://openalex.org/W3146906819","https://openalex.org/W4212888252","https://openalex.org/W4234476136","https://openalex.org/W4253323127","https://openalex.org/W4256352281","https://openalex.org/W4285719527","https://openalex.org/W6628649234","https://openalex.org/W6681371604"],"related_works":["https://openalex.org/W2068608913","https://openalex.org/W3124914020","https://openalex.org/W2141033859","https://openalex.org/W2077542787","https://openalex.org/W414715144","https://openalex.org/W2385466162","https://openalex.org/W2360134645","https://openalex.org/W2390549196","https://openalex.org/W2079140219","https://openalex.org/W2356724950"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
