{"id":"https://openalex.org/W3007140040","doi":"https://doi.org/10.1137/18m1220248","title":"Discrete Transparent Boundary Conditions for the Linearized Green--Naghdi System of Equations","display_name":"Discrete Transparent Boundary Conditions for the Linearized Green--Naghdi System of Equations","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3007140040","doi":"https://doi.org/10.1137/18m1220248","mag":"3007140040"},"language":"en","primary_location":{"id":"doi:10.1137/18m1220248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1220248","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01613071","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080051661","display_name":"Maria Kazakova","orcid":"https://orcid.org/0000-0002-2277-7676"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Maria Kazakova","raw_affiliation_strings":["LAMA - Laboratoire de Math\u00e9matiques (Universit\u00e9 Savoie Mont Blanc, Campus Scientifique, B\u00e2timent Le Chablais  73376 Le Bourget du Lac, France - France)"],"affiliations":[{"raw_affiliation_string":"LAMA - Laboratoire de Math\u00e9matiques (Universit\u00e9 Savoie Mont Blanc, Campus Scientifique, B\u00e2timent Le Chablais  73376 Le Bourget du Lac, France - France)","institution_ids":["https://openalex.org/I70900168","https://openalex.org/I4210144844","https://openalex.org/I4210155549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037885308","display_name":"Pascal Noble","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405259414","https://openalex.org/I84500057"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Noble","raw_affiliation_strings":["Institut de Math\u00e9matiques de Toulouse; UMR5219, Universit\u00e9 de Toulouse; CNRS, INSA, F-31077 Toulouse, France,"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse; UMR5219, Universit\u00e9 de Toulouse; CNRS, INSA, F-31077 Toulouse, France,","institution_ids":["https://openalex.org/I84500057","https://openalex.org/I17866349","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080051661"],"corresponding_institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I4210155549","https://openalex.org/I70900168"],"apc_list":null,"apc_paid":null,"fwci":2.2079,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.85197299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"1","first_page":"657","last_page":"683"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9945999979972839,"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":0.8169034719467163},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7699289917945862},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6008351445198059},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5668134689331055},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5336647033691406},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.48474928736686707},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.45008036494255066},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.45007091760635376},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23719006776809692}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8169034719467163},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7699289917945862},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6008351445198059},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5668134689331055},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5336647033691406},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.48474928736686707},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.45008036494255066},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.45007091760635376},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23719006776809692},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1220248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1220248","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:HAL:hal-01613071v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01613071","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01613071v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01613071","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017","raw_type":"Preprints, Working Papers, ..."},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1978147630","https://openalex.org/W2064644987","https://openalex.org/W2105914422","https://openalex.org/W2106494524","https://openalex.org/W2108202098","https://openalex.org/W2130794056","https://openalex.org/W2315717216","https://openalex.org/W2410755097","https://openalex.org/W2526229365","https://openalex.org/W2594208438","https://openalex.org/W2962839381"],"related_works":["https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947","https://openalex.org/W2370926798"],"abstract_inverted_index":{"In":[0,42],"this":[1,114],"paper,":[2],"we":[3],"introduce":[4],"artificial":[5],"boundary":[6,22,34,47,155],"conditions":[7,23,35,156],"for":[8,113],"the":[9,25,43,49,60,76,92,101,120,123,142,146,160],"linearized":[10],"Green--Naghdi":[11],"system":[12,62],"of":[13,17,27,45,59,73,79,122,145,149,162],"equations.":[14,150],"The":[15,87],"derivation":[16],"such":[18],"continuous":[19,46],"(respectively,":[20,30],"discrete)":[21],"includes":[24],"inversion":[26,50],"Laplace":[28],"transform":[29,98],"$\\mathcal{Z}$-transform)":[31],"and":[32,131],"these":[33],"are":[36,137],"in":[37,40,167],"turn":[38],"nonlocal":[39],"time.":[41],"case":[44],"conditions,":[48],"is":[51,111],"done":[52],"explicitly.":[53],"We":[54,81,117,151],"consider":[55],"two":[56],"spatial":[57],"discretizations":[58],"initial":[61,129,134,147],"either":[63],"on":[64,68],"a":[65,69,83,168],"staggered":[66,93],"or":[67],"collocated":[70,102],"grid,":[71],"both":[72],"interest":[74],"from":[75],"practical":[77],"point":[78],"view.":[80],"use":[82],"Crank--Nicolson":[84],"time":[85],"discretization.":[86],"proposed":[88,112],"numerical":[89,109],"scheme":[90],"with":[91,126],"grid":[94,103],"permits":[95],"explicit":[96],"$\\mathcal{Z}$-":[97],"inversion,":[99],"whereas":[100],"discretization":[104],"does":[105],"not.":[106],"A":[107],"stable":[108],"procedure":[110],"latter":[115],"inversion.":[116],"test":[118],"numerically":[119,159],"accuracy":[121],"described":[124],"method":[125],"standard":[127],"Gaussian":[128],"data":[130,135],"wave":[132],"packet":[133],"which":[136],"more":[138],"convenient":[139],"to":[140,157],"explore":[141],"dispersive":[143],"properties":[144],"set":[148],"used":[152],"our":[153],"transparent":[154],"solve":[158],"problem":[161],"injecting":[163],"propagating":[164],"(planar)":[165],"waves":[166],"computational":[169],"domain.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}