{"id":"https://openalex.org/W3004212416","doi":"https://doi.org/10.1016/s0747-7171(08)80106-x","title":"On solutions of linear ordinary differential equations in their coefficient field","display_name":"On solutions of linear ordinary differential equations in their coefficient field","publication_year":1992,"publication_date":"1992-04-01","ids":{"openalex":"https://openalex.org/W3004212416","doi":"https://doi.org/10.1016/s0747-7171(08)80106-x","mag":"3004212416"},"language":"en","primary_location":{"id":"doi:10.1016/s0747-7171(08)80106-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(08)80106-x","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/A5053428066","display_name":"Manuel Bronstein","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Manuel Bronstein","raw_affiliation_strings":["Institut f\u00fcr Wissenschaftliches Rechnen ETH Zentrum, CH-8092 Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Wissenschaftliches Rechnen ETH Zentrum, CH-8092 Z\u00fcrich, Switzerland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053428066"],"corresponding_institution_ids":[],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":2.3983,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.89860308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"4","first_page":"413","last_page":"439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"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":0.9994000196456909,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9896000027656555,"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":0.9150078296661377},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.6930494904518127},{"id":"https://openalex.org/keywords/linear-differential-equation","display_name":"Linear differential equation","score":0.6267097592353821},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5880969762802124},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5217791199684143},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5203713774681091},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46307218074798584},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4613916873931885},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4301976263523102},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.412083238363266},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3525852859020233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3434600234031677},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.086636483669281}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9150078296661377},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.6930494904518127},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.6267097592353821},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5880969762802124},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5217791199684143},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5203713774681091},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46307218074798584},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4613916873931885},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4301976263523102},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.412083238363266},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3525852859020233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3434600234031677},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.086636483669281},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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:10.1016/s0747-7171(08)80106-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(08)80106-x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1968968793","https://openalex.org/W2038161809","https://openalex.org/W2079232464","https://openalex.org/W2171421630","https://openalex.org/W6645173912","https://openalex.org/W6668775170","https://openalex.org/W6839350836"],"related_works":["https://openalex.org/W137103153","https://openalex.org/W4238540149","https://openalex.org/W2000496627","https://openalex.org/W2898007212","https://openalex.org/W4200024091","https://openalex.org/W2355289095","https://openalex.org/W3021373414","https://openalex.org/W2355062171","https://openalex.org/W2001445586","https://openalex.org/W1987984355"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}