{"id":"https://openalex.org/W1525854676","doi":"https://doi.org/10.3233/rda-2012-0076","title":"Discontinuous piecewise polynomial collocation in two dimensions","display_name":"Discontinuous piecewise polynomial collocation in two dimensions","publication_year":2013,"publication_date":"2013-02-01","ids":{"openalex":"https://openalex.org/W1525854676","doi":"https://doi.org/10.3233/rda-2012-0076","mag":"1525854676"},"language":"en","primary_location":{"id":"doi:10.3233/rda-2012-0076","is_oa":false,"landing_page_url":"https://doi.org/10.3233/rda-2012-0076","pdf_url":null,"source":{"id":"https://openalex.org/S2764680446","display_name":"Risk and Decision Analysis","issn_l":"1569-7371","issn":["1569-7371","1875-9173"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Risk and Decision Analysis","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/A5068041355","display_name":"John Loustau","orcid":"https://orcid.org/0000-0002-5480-8772"},"institutions":[{"id":"https://openalex.org/I39694355","display_name":"Hunter College","ror":"https://ror.org/00g2xk477","country_code":"US","type":"education","lineage":["https://openalex.org/I39694355"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Loustau","raw_affiliation_strings":["Hunter College, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunter College, New York, NY, USA","institution_ids":["https://openalex.org/I39694355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069018102","display_name":"Scott H. Irwin","orcid":"https://orcid.org/0000-0003-4556-0848"},"institutions":[{"id":"https://openalex.org/I39694355","display_name":"Hunter College","ror":"https://ror.org/00g2xk477","country_code":"US","type":"education","lineage":["https://openalex.org/I39694355"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Scott Irwin","raw_affiliation_strings":["Hunter College, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunter College, New York, NY, USA","institution_ids":["https://openalex.org/I39694355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036481780","display_name":"Ariel Lindorff","orcid":"https://orcid.org/0000-0001-6147-6289"},"institutions":[{"id":"https://openalex.org/I39694355","display_name":"Hunter College","ror":"https://ror.org/00g2xk477","country_code":"US","type":"education","lineage":["https://openalex.org/I39694355"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ariel Lindorff","raw_affiliation_strings":["Hunter College, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunter College, New York, NY, USA","institution_ids":["https://openalex.org/I39694355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058077717","display_name":"John Svadlenka","orcid":null},"institutions":[{"id":"https://openalex.org/I39694355","display_name":"Hunter College","ror":"https://ror.org/00g2xk477","country_code":"US","type":"education","lineage":["https://openalex.org/I39694355"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Svadlenka","raw_affiliation_strings":["Hunter College, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunter College, New York, NY, USA","institution_ids":["https://openalex.org/I39694355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068041355"],"corresponding_institution_ids":["https://openalex.org/I39694355"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04688129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"1","first_page":"47","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9114999771118164,"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":0.9114999771118164,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9003000259399414,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7942692041397095},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6783521175384521},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6454036831855774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.591743528842926},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4283541440963745},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35277795791625977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30833789706230164}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7942692041397095},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6783521175384521},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6454036831855774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.591743528842926},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4283541440963745},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35277795791625977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30833789706230164},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/rda-2012-0076","is_oa":false,"landing_page_url":"https://doi.org/10.3233/rda-2012-0076","pdf_url":null,"source":{"id":"https://openalex.org/S2764680446","display_name":"Risk and Decision Analysis","issn_l":"1569-7371","issn":["1569-7371","1875-9173"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Risk and Decision Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2383844134","https://openalex.org/W3093305317","https://openalex.org/W2374198922","https://openalex.org/W2889599571","https://openalex.org/W1833822726","https://openalex.org/W2798137860","https://openalex.org/W1998603635","https://openalex.org/W2065958989","https://openalex.org/W2363810458","https://openalex.org/W4283322381"],"abstract_inverted_index":{"We":[0,53],"consider":[1],"collocation":[2],"method":[3,67],"based":[4],"on":[5],"a":[6,17,48,55],"piecewise":[7],"polynomial":[8],"approach":[9],"in":[10],"two":[11],"spatial":[12],"dimensions.":[13],"Our":[14],"model":[15],"uses":[16],"finite":[18,50,65],"element":[19,28,51,66],"partition":[20],"where":[21],"the":[22,35],"interpolation":[23],"may":[24],"be":[25],"discontinuous":[26],"across":[27],"boundaries.":[29],"The":[30,60],"underlying":[31],"topological":[32],"structure":[33],"is":[34],"continuous":[36],"or":[37],"bounded":[38],"functions":[39],"with":[40],"sup-norm.":[41],"To":[42],"ensure":[43],"broad":[44],"applicability":[45],"we":[46],"use":[47],"triangular":[49],"partition.":[52],"include":[54,62],"convergence":[56],"result":[57],"and":[58,68],"examples.":[59],"examples":[61,69],"comparisons":[63],"to":[64],"from":[70],"finance.":[71]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}