{"id":"https://openalex.org/W2162009465","doi":"https://doi.org/10.1016/s0747-7171(03)00090-7","title":"Factoring systems of linear PDEs with finite-dimensional solution spaces","display_name":"Factoring systems of linear PDEs with finite-dimensional solution spaces","publication_year":2003,"publication_date":"2003-07-16","ids":{"openalex":"https://openalex.org/W2162009465","doi":"https://doi.org/10.1016/s0747-7171(03)00090-7","mag":"2162009465"},"language":"en","primary_location":{"id":"doi:10.1016/s0747-7171(03)00090-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(03)00090-7","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","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/A5101651748","display_name":"Ziming Li","orcid":"https://orcid.org/0009-0004-7529-7176"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ziming Li","raw_affiliation_strings":["Symbolic Computation Group, School of Computer Science, University of Waterloo, Ontario, Canada N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Symbolic Computation Group, School of Computer Science, University of Waterloo, Ontario, Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036199382","display_name":"Fritz Schwarz","orcid":"https://orcid.org/0000-0003-4119-5476"},"institutions":[{"id":"https://openalex.org/I4210098248","display_name":"Fraunhofer Institute for Algorithms and Scientific Computing","ror":"https://ror.org/00trw9c49","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210098248","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fritz Schwarz","raw_affiliation_strings":["FhG, Institut SCAI, 53754 Sankt Augustin, Germany"],"affiliations":[{"raw_affiliation_string":"FhG, Institut SCAI, 53754 Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210098248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085359961","display_name":"S. P. Tsar\u00ebv","orcid":"https://orcid.org/0000-0002-9759-6925"},"institutions":[{"id":"https://openalex.org/I4210092539","display_name":"Krasnoyarsk State Pedagogical University","ror":"https://ror.org/00nszah81","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210092539"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Serguei P. Tsarev","raw_affiliation_strings":["Department of Mathematics, Krasnoyarsk State Pedagogical University, Lebedevoi 89, 660049 Krasnoyarsk, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Krasnoyarsk State Pedagogical University, Lebedevoi 89, 660049 Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I4210092539"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101651748"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":4.7278,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.95469342,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"36","issue":"3-4","first_page":"443","last_page":"471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9907000064849854,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8998550772666931},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.602676510810852},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.5681411027908325},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5592375993728638},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5035037398338318},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49628597497940063},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4453050494194031},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44085076451301575},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.430133581161499},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38345393538475037},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33740031719207764},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31975850462913513}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8998550772666931},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.602676510810852},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.5681411027908325},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5592375993728638},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5035037398338318},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49628597497940063},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4453050494194031},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44085076451301575},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.430133581161499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38345393538475037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33740031719207764},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31975850462913513},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0747-7171(03)00090-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(03)00090-7","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:2004958279","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/2004958279.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer SCAI","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/203884","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/203884","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W26772505","https://openalex.org/W98590612","https://openalex.org/W212726616","https://openalex.org/W624050784","https://openalex.org/W1536436703","https://openalex.org/W1543025734","https://openalex.org/W1548381287","https://openalex.org/W1560726565","https://openalex.org/W1594931873","https://openalex.org/W1628745019","https://openalex.org/W1967994275","https://openalex.org/W1975426154","https://openalex.org/W1977049875","https://openalex.org/W1979474425","https://openalex.org/W1980662086","https://openalex.org/W2008320211","https://openalex.org/W2014384321","https://openalex.org/W2026226892","https://openalex.org/W2027384932","https://openalex.org/W2033646909","https://openalex.org/W2046652205","https://openalex.org/W2048864540","https://openalex.org/W2069738583","https://openalex.org/W2089954342","https://openalex.org/W2090499413","https://openalex.org/W2102976686","https://openalex.org/W2119332593","https://openalex.org/W2171421630","https://openalex.org/W4210531060","https://openalex.org/W4214667224","https://openalex.org/W4231613283","https://openalex.org/W6608625759","https://openalex.org/W6642037283","https://openalex.org/W6645173912","https://openalex.org/W6653889867","https://openalex.org/W6659125565","https://openalex.org/W6662313352","https://openalex.org/W6673145516","https://openalex.org/W6811152017"],"related_works":["https://openalex.org/W2898007212","https://openalex.org/W4238540149","https://openalex.org/W2000496627","https://openalex.org/W2355289095","https://openalex.org/W4254480813","https://openalex.org/W120789411","https://openalex.org/W70880732","https://openalex.org/W4248428538","https://openalex.org/W2161727655","https://openalex.org/W143470812"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2016-06-24T00:00:00"}
