{"id":"https://openalex.org/W1973587586","doi":"https://doi.org/10.1137/s0036142998342628","title":"Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations","display_name":"Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1973587586","doi":"https://doi.org/10.1137/s0036142998342628","mag":"1973587586"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142998342628","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142998342628","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical 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/A5111730284","display_name":"Michael S. Floater","orcid":null},"institutions":[{"id":"https://openalex.org/I173888879","display_name":"SINTEF","ror":"https://ror.org/01f677e56","country_code":"NO","type":"facility","lineage":["https://openalex.org/I173888879"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Michael S. Floater","raw_affiliation_strings":["SINTEF#TAB#"],"affiliations":[{"raw_affiliation_string":"SINTEF#TAB#","institution_ids":["https://openalex.org/I173888879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038839062","display_name":"Ewald Quak","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ewald G. Quak","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111730284"],"corresponding_institution_ids":["https://openalex.org/I173888879"],"apc_list":null,"apc_paid":null,"fwci":7.0097,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.97273902,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"38","issue":"1","first_page":"58","last_page":"79"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12351","display_name":"Geometry and complex manifolds","score":0.9882000088691711,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8300776481628418},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7376428842544556},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.7199375629425049},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6673778295516968},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6491423845291138},{"id":"https://openalex.org/keywords/piecewise-linear-manifold","display_name":"Piecewise linear manifold","score":0.6052106022834778},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5572195053100586},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5339848399162292},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4434671998023987},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4306841492652893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07567837834358215}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8300776481628418},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7376428842544556},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.7199375629425049},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6673778295516968},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6491423845291138},{"id":"https://openalex.org/C184175843","wikidata":"https://www.wikidata.org/wiki/Q7191425","display_name":"Piecewise linear manifold","level":3,"score":0.6052106022834778},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5572195053100586},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5339848399162292},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4434671998023987},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4306841492652893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07567837834358215},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0036142998342628","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142998342628","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.124.254","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://heim.ifi.uio.no/~michaelf/papers/posdef.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.1937","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.1937","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.oslo.sintef.no/am/Geom/Homepages/mif/pubs/posdef.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1605597397","https://openalex.org/W1988455683","https://openalex.org/W2017539494","https://openalex.org/W2020036445","https://openalex.org/W2057829994"],"related_works":["https://openalex.org/W2619539882","https://openalex.org/W4256576314","https://openalex.org/W1989138816","https://openalex.org/W57070652","https://openalex.org/W2886522954","https://openalex.org/W2774123355","https://openalex.org/W2260494922","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W2490196280"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"establish":[4],"linear":[5,12],"independence":[6],"and":[7,31],"stability":[8],"of":[9,23],"certain":[10],"piecewise":[11],"prewavelets":[13,19],"over":[14],"arbitrary":[15],"bounded":[16],"triangulations.":[17],"These":[18],"are":[20],"natural":[21],"generalizations":[22],"the":[24],"locally":[25],"supported":[26],"element":[27],"constructed":[28],"by":[29],"Kotyczka":[30],"Oswald":[32],"for":[33],"an":[34],"infinite":[35],"three-directional":[36],"mesh.":[37]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}