{"id":"https://openalex.org/W2063055146","doi":"https://doi.org/10.1137/100782048","title":"Numerical Analysis of Filter-Based Stabilization for Evolution Equations","display_name":"Numerical Analysis of Filter-Based Stabilization for Evolution Equations","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2063055146","doi":"https://doi.org/10.1137/100782048","mag":"2063055146"},"language":"en","primary_location":{"id":"doi:10.1137/100782048","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100782048","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/A5058872661","display_name":"Vincent J. Ervin","orcid":"https://orcid.org/0000-0003-2514-0408"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Vincent J. Ervin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064202954","display_name":"William Layton","orcid":"https://orcid.org/0000-0002-2539-4478"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William J. Layton","raw_affiliation_strings":["University of Pittsburgh"],"affiliations":[{"raw_affiliation_string":"University of Pittsburgh","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039585373","display_name":"Monika Neda","orcid":"https://orcid.org/0000-0003-1589-2577"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Monika Neda","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058872661"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1482,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.91200948,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"50","issue":"5","first_page":"2307","last_page":"2335"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9976000189781189,"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/filter","display_name":"Filter (signal processing)","score":0.7083837985992432},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6599761247634888},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6228283643722534},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.5019536018371582},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4595969319343567},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.43877485394477844},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4122128486633301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24454864859580994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24409419298171997}],"concepts":[{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.7083837985992432},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6599761247634888},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6228283643722534},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5019536018371582},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4595969319343567},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.43877485394477844},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4122128486633301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24454864859580994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24409419298171997},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/100782048","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100782048","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:10.1.1.298.564","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.564","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.clemson.edu/~vjervin/papers/erv102.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.912.2874","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.912.2874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dtic.mil/get-tr-doc/pdf?AD%3DADA512969%26Location%3DU2%26doc%3DGetTRDoc.pdf","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":57,"referenced_works":["https://openalex.org/W63722314","https://openalex.org/W100021768","https://openalex.org/W167804603","https://openalex.org/W596221375","https://openalex.org/W1492326914","https://openalex.org/W1514248469","https://openalex.org/W1535851085","https://openalex.org/W1589702657","https://openalex.org/W1598074861","https://openalex.org/W1674659126","https://openalex.org/W1677523145","https://openalex.org/W1965391864","https://openalex.org/W1967937790","https://openalex.org/W1968358224","https://openalex.org/W1969731295","https://openalex.org/W1974612517","https://openalex.org/W1977391567","https://openalex.org/W1977747817","https://openalex.org/W1979298367","https://openalex.org/W1984171123","https://openalex.org/W1984712994","https://openalex.org/W1985812515","https://openalex.org/W1987678665","https://openalex.org/W1987984647","https://openalex.org/W1995945562","https://openalex.org/W1997564032","https://openalex.org/W2002921695","https://openalex.org/W2015883934","https://openalex.org/W2017766187","https://openalex.org/W2017912630","https://openalex.org/W2033305412","https://openalex.org/W2036036499","https://openalex.org/W2045770258","https://openalex.org/W2047530609","https://openalex.org/W2051862019","https://openalex.org/W2053216189","https://openalex.org/W2054420328","https://openalex.org/W2059276961","https://openalex.org/W2064595636","https://openalex.org/W2066075042","https://openalex.org/W2066305949","https://openalex.org/W2068702190","https://openalex.org/W2070985789","https://openalex.org/W2075320329","https://openalex.org/W2076072472","https://openalex.org/W2076077791","https://openalex.org/W2082333114","https://openalex.org/W2087290839","https://openalex.org/W2091345137","https://openalex.org/W2119471187","https://openalex.org/W2120120440","https://openalex.org/W2130863647","https://openalex.org/W2131413835","https://openalex.org/W2140831196","https://openalex.org/W2167375645","https://openalex.org/W2169437869","https://openalex.org/W2334772160"],"related_works":["https://openalex.org/W3133256285","https://openalex.org/W1897977592","https://openalex.org/W2086260930","https://openalex.org/W3047676097","https://openalex.org/W4205258372","https://openalex.org/W2871112201","https://openalex.org/W4239872175","https://openalex.org/W2050387214","https://openalex.org/W4309048271","https://openalex.org/W1997225985"],"abstract_inverted_index":{"We":[0,75,83,105],"consider":[1,20,85],"filter-based":[2,52],"stabilization":[3],"for":[4,10],"evolution":[5],"equations":[6,13],"(in":[7,14],"general)":[8],"and":[9,33,39,114,119],"the":[11,44,47,60,81,98,101,111],"Navier--Stokes":[12],"particular).":[15],"The":[16],"first":[17],"method":[18,32],"we":[19],"is":[21,57,79],"to":[22,35,42,69,96],"advance":[23],"in":[24,59,116,126],"time":[25,27,49,90,103],"one":[26,89],"step":[28],"by":[29],"a":[30,71,86,107],"given":[31],"then":[34,84,94],"apply":[36],"an":[37],"(uncoupled":[38],"modular)":[40],"filter":[41],"get":[43,97],"approximation":[45,99],"at":[46,100],"new":[48,102],"level.":[50],"This":[51],"stabilization,":[53],"although":[54],"algorithmically":[55],"appealing,":[56],"viewed":[58],"literature":[61],"as":[62],"introducing":[63],"far":[64],"too":[65],"much":[66],"numerical":[67,112,128],"dissipation":[68],"achieve":[70],"quality":[72],"approximate":[73],"solution.":[74],"show":[76,120],"that":[77],"this":[78,117],"indeed":[80],"case.":[82],"modification:":[87],"Evolve":[88],"step,":[91],"filter,":[92],"deconvolve,":[93],"relax":[95],"step.":[104],"give":[106],"precise":[108],"analysis":[109],"of":[110],"diffusion":[113],"error":[115],"process":[118],"it":[121],"has":[122],"great":[123],"promise,":[124],"confirmed":[125],"several":[127],"experiments.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}
