{"id":"https://openalex.org/W1980156586","doi":"https://doi.org/10.1007/s10208-007-9009-6","title":"Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields","display_name":"Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields","publication_year":2007,"publication_date":"2007-11-21","ids":{"openalex":"https://openalex.org/W1980156586","doi":"https://doi.org/10.1007/s10208-007-9009-6","mag":"1980156586"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-007-9009-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-007-9009-6","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","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/A5005515472","display_name":"Robert I. McLachlan","orcid":"https://orcid.org/0000-0003-0392-4957"},"institutions":[{"id":"https://openalex.org/I51158804","display_name":"Massey University","ror":"https://ror.org/052czxv31","country_code":"NZ","type":"education","lineage":["https://openalex.org/I51158804"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"R. I. McLachlan","raw_affiliation_strings":["Institute of Fundamental Sciences, Massey University, Palmeston North, New Zealand","Massey University, Institute of Fundamental Sciences, Palmeston North, New Zealand#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Fundamental Sciences, Massey University, Palmeston North, New Zealand","institution_ids":["https://openalex.org/I51158804"]},{"raw_affiliation_string":"Massey University, Institute of Fundamental Sciences, Palmeston North, New Zealand#TAB#","institution_ids":["https://openalex.org/I51158804"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069525654","display_name":"Hans Munthe\u2013Kaas","orcid":"https://orcid.org/0000-0002-4456-3150"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"H. Z. Munthe-Kaas","raw_affiliation_strings":["Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway","Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway#TAB#"],"affiliations":[{"raw_affiliation_string":"Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway#TAB#","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067417848","display_name":"G. Quispel","orcid":"https://orcid.org/0000-0002-6433-1576"},"institutions":[{"id":"https://openalex.org/I196829312","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27","country_code":"AU","type":"education","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"G. R. W. Quispel","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, La Trobe University, Victoria, 3086, Australia","La Trobe University, Department of Mathematical and Statistical Sciences, 3086, Victoria, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, La Trobe University, Victoria, 3086, Australia","institution_ids":["https://openalex.org/I196829312"]},{"raw_affiliation_string":"La Trobe University, Department of Mathematical and Statistical Sciences, 3086, Victoria, Australia#TAB#","institution_ids":["https://openalex.org/I196829312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015777960","display_name":"Antonella Zanna","orcid":null},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"A. Zanna","raw_affiliation_strings":["Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway","Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway#TAB#"],"affiliations":[{"raw_affiliation_string":"Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Matematisk Institutt, J. Brunsgt 12, 5008, Bergen, Norway#TAB#","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005515472"],"corresponding_institution_ids":["https://openalex.org/I51158804"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0117,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.73997168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"3","first_page":"335","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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":0.9966999888420105,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9926000237464905,"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/diagonal","display_name":"Diagonal","score":0.8852169513702393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8240162134170532},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6280768513679504},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.6225682497024536},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5861455798149109},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43741580843925476},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.4184207320213318},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3773251175880432},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33977842330932617},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19721636176109314},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07826045155525208}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.8852169513702393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8240162134170532},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6280768513679504},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.6225682497024536},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5861455798149109},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43741580843925476},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4184207320213318},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3773251175880432},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33977842330932617},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19721636176109314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07826045155525208},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-007-9009-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-007-9009-6","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320577","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27"},{"id":"https://openalex.org/F4320323078","display_name":"Universitetet i Bergen","ror":"https://ror.org/03zga2b32"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1530404001","https://openalex.org/W1600448051","https://openalex.org/W1969799749","https://openalex.org/W1970935533","https://openalex.org/W1990753794","https://openalex.org/W1991005251","https://openalex.org/W2033457832","https://openalex.org/W2035469609","https://openalex.org/W2076996640","https://openalex.org/W2098550758","https://openalex.org/W2101441548","https://openalex.org/W2155509452","https://openalex.org/W2169794596","https://openalex.org/W2310212366","https://openalex.org/W2947056241","https://openalex.org/W4245463005"],"related_works":["https://openalex.org/W2135584473","https://openalex.org/W2964223869","https://openalex.org/W2626141450","https://openalex.org/W2114045837","https://openalex.org/W2792539140","https://openalex.org/W3208095355","https://openalex.org/W2005808740","https://openalex.org/W2295130398","https://openalex.org/W2177370417","https://openalex.org/W4302055909"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
