{"id":"https://openalex.org/W2093840265","doi":"https://doi.org/10.1137/060663763","title":"ENO Multiresolution Schemes with General Discretizations","display_name":"ENO Multiresolution Schemes with General Discretizations","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2093840265","doi":"https://doi.org/10.1137/060663763","mag":"2093840265"},"language":"en","primary_location":{"id":"doi:10.1137/060663763","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060663763","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/A5070314054","display_name":"Pascal Getreuer","orcid":"https://orcid.org/0000-0002-7216-3330"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pascal Getreuer","raw_affiliation_strings":["getreuer@gmail.com#TAB#"],"affiliations":[{"raw_affiliation_string":"getreuer@gmail.com#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023535633","display_name":"Fran\u00e7ois G. Meyer","orcid":"https://orcid.org/0000-0002-1529-3796"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois G. Meyer","raw_affiliation_strings":["francois.meyer@colorado.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"francois.meyer@colorado.edu#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070314054"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.10825572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"46","issue":"6","first_page":"2953","last_page":"2977"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9785000085830688,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8097605109214783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7692180275917053},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.6903244256973267},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.589167058467865},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5429543852806091},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5074314475059509},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.44078636169433594},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4151303768157959},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33569657802581787},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18308985233306885},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.12802931666374207},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.09439608454704285}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8097605109214783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7692180275917053},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.6903244256973267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.589167058467865},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5429543852806091},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5074314475059509},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.44078636169433594},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4151303768157959},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33569657802581787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18308985233306885},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.12802931666374207},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.09439608454704285},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/060663763","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060663763","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W85435400","https://openalex.org/W1825085741","https://openalex.org/W1968023378","https://openalex.org/W1970363686","https://openalex.org/W1994808173","https://openalex.org/W1995273590","https://openalex.org/W2001058553","https://openalex.org/W2011988608","https://openalex.org/W2020919250","https://openalex.org/W2032835894","https://openalex.org/W2044084385","https://openalex.org/W2044335029","https://openalex.org/W2054662916","https://openalex.org/W2071721064","https://openalex.org/W2085427268","https://openalex.org/W2103935564","https://openalex.org/W2115755118","https://openalex.org/W2130630043","https://openalex.org/W2153833955","https://openalex.org/W2468576561","https://openalex.org/W4256117910"],"related_works":["https://openalex.org/W4246648935","https://openalex.org/W2032074140","https://openalex.org/W2040760337","https://openalex.org/W2111953915","https://openalex.org/W1931213905","https://openalex.org/W2090879446","https://openalex.org/W2112294001","https://openalex.org/W1994451025","https://openalex.org/W1967111219","https://openalex.org/W2363805939"],"abstract_inverted_index":{"Harten's":[0,40],"framework":[1,41],"is":[2,101],"a":[3,43,72],"nonlinear":[4],"generalization":[5],"of":[6,13,45,64,83],"the":[7,11,52,57,62,65,89],"wavelet":[8],"framework.":[9],"Previously,":[10],"choice":[12],"discretization":[14,85],"(scaling":[15],"function)":[16],"in":[17],"Harten":[18],"multiresolution":[19,36,78,93],"schemes":[20,37,79,94],"has":[21,88],"been":[22],"limited":[23],"to":[24,34,91],"point-value,":[25],"cell-average,":[26],"and":[27,55,86],"hat-based":[28],"discretization.":[29],"This":[30,68],"paper":[31],"shows":[32],"how":[33],"construct":[35],"consistent":[38],"with":[39,51,95],"for":[42,80],"variety":[44],"discretizations.":[46,97],"The":[47],"construction":[48,69],"here":[49],"begins":[50],"discrete":[53],"operators":[54],"deduces":[56],"corresponding":[58],"continuous":[59],"operators,":[60],"reversing":[61],"order":[63,82],"usual":[66],"approach.":[67],"yields":[70],"as":[71],"special":[73],"case":[74],"essentially":[75],"nonoscillatory":[76],"(ENO)":[77],"any":[81],"spline":[84],"also":[87,102],"flexibility":[90],"define":[92],"nonspline":[96],"An":[98],"error-control":[99],"strategy":[100],"developed.":[103]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}