{"id":"https://openalex.org/W319820023","doi":"https://doi.org/10.1007/bf02281729","title":"On the numerical solution of non-linear equation characterizing minimal cubature formulae","display_name":"On the numerical solution of non-linear equation characterizing minimal cubature formulae","publication_year":1980,"publication_date":"1980-06-01","ids":{"openalex":"https://openalex.org/W319820023","doi":"https://doi.org/10.1007/bf02281729","mag":"319820023"},"language":"en","primary_location":{"id":"doi:10.1007/bf02281729","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02281729","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5110180235","display_name":"Hans Schmid","orcid":null},"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":true,"raw_author_name":"H. J. Schmid","raw_affiliation_strings":["Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Bonn, Wegelerstrasse 6, SFB 72, D-5300, Bonn, Federal Republic of Germany","Institut f\u00fcr Angewandte Mathematik Universit\u00e4t Bonn Bonn, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Bonn, Wegelerstrasse 6, SFB 72, D-5300, Bonn, Federal Republic of Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik Universit\u00e4t Bonn Bonn, Federal Republic of Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110180235"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5696,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59062701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"2-3","first_page":"251","last_page":"257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9988999962806702,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9988999962806702,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9922000169754028,"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":0.9887999892234802,"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/mathematics","display_name":"Mathematics","score":0.8301401138305664},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6331713199615479},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6247845888137817},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.615077018737793},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5718913078308105},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5226821303367615},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49522605538368225},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45275118947029114},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4228464961051941},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3702874481678009},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16975975036621094}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8301401138305664},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6331713199615479},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6247845888137817},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.615077018737793},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5718913078308105},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5226821303367615},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49522605538368225},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45275118947029114},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4228464961051941},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3702874481678009},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16975975036621094},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02281729","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02281729","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W66250508","https://openalex.org/W126544226","https://openalex.org/W293231610","https://openalex.org/W1978093765","https://openalex.org/W2033294754","https://openalex.org/W2062294426","https://openalex.org/W2072320069"],"related_works":["https://openalex.org/W2263119459","https://openalex.org/W3131993578","https://openalex.org/W2374567876","https://openalex.org/W2288394291","https://openalex.org/W2005876858","https://openalex.org/W3036140763","https://openalex.org/W2913782054","https://openalex.org/W2033799224","https://openalex.org/W2360043435","https://openalex.org/W2945256766"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}