{"id":"https://openalex.org/W2735908150","doi":"https://doi.org/10.23919/acc.2017.7963327","title":"Structure preserving spatial discretization of 2D hyperbolic systems using staggered grids finite difference","display_name":"Structure preserving spatial discretization of 2D hyperbolic systems using staggered grids finite difference","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2735908150","doi":"https://doi.org/10.23919/acc.2017.7963327","mag":"2735908150"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2017.7963327","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963327","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://mediatum.ub.tum.de/node?id=1435444","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029653129","display_name":"Vincent Trenchant","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/I53262699","display_name":"\u00c9cole Nationale Sup\u00e9rieure de M\u00e9canique et des Microtechniques","ror":"https://ror.org/05813w841","country_code":"FR","type":"education","lineage":["https://openalex.org/I53262699"]},{"id":"https://openalex.org/I90843659","display_name":"Universit\u00e9 de Franche-Comt\u00e9","ror":"https://ror.org/03pcc9z86","country_code":"FR","type":"education","lineage":["https://openalex.org/I90843659"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Trenchant","raw_affiliation_strings":["AS2M department, Univ. de Franche-Comte/CNRS/ENSMM, Besan\u00e7on, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AS2M department, Univ. de Franche-Comte/CNRS/ENSMM, Besan\u00e7on, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I53262699","https://openalex.org/I90843659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019474818","display_name":"H\u00e9ctor Ram\u00edrez","orcid":"https://orcid.org/0000-0001-8765-0265"},"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/I53262699","display_name":"\u00c9cole Nationale Sup\u00e9rieure de M\u00e9canique et des Microtechniques","ror":"https://ror.org/05813w841","country_code":"FR","type":"education","lineage":["https://openalex.org/I53262699"]},{"id":"https://openalex.org/I90843659","display_name":"Universit\u00e9 de Franche-Comt\u00e9","ror":"https://ror.org/03pcc9z86","country_code":"FR","type":"education","lineage":["https://openalex.org/I90843659"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hector Ramirez","raw_affiliation_strings":["AS2M department, Univ. de Franche-Comte/CNRS/ENSMM, Besan\u00e7on, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AS2M department, Univ. de Franche-Comte/CNRS/ENSMM, Besan\u00e7on, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I53262699","https://openalex.org/I90843659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081513986","display_name":"Yann Le Gorrec","orcid":"https://orcid.org/0000-0001-6935-1915"},"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/I53262699","display_name":"\u00c9cole Nationale Sup\u00e9rieure de M\u00e9canique et des Microtechniques","ror":"https://ror.org/05813w841","country_code":"FR","type":"education","lineage":["https://openalex.org/I53262699"]},{"id":"https://openalex.org/I90843659","display_name":"Universit\u00e9 de Franche-Comt\u00e9","ror":"https://ror.org/03pcc9z86","country_code":"FR","type":"education","lineage":["https://openalex.org/I90843659"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yann Le Gorrec","raw_affiliation_strings":["AS2M department, Univ. de Franche-Comte/CNRS/ENSMM, Besan\u00e7on, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AS2M department, Univ. de Franche-Comte/CNRS/ENSMM, Besan\u00e7on, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I53262699","https://openalex.org/I90843659"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024022683","display_name":"Paul Kotyczka","orcid":"https://orcid.org/0000-0002-6669-6368"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paul Kotyczka","raw_affiliation_strings":["Laboratoire d' Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard Lyon 1, Villeurbanne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d' Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard Lyon 1, Villeurbanne, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2491","last_page":"2496"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9973000288009644,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.9630790948867798},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.615857720375061},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5460612177848816},{"id":"https://openalex.org/keywords/discretization-of-continuous-features","display_name":"Discretization of continuous features","score":0.5453751087188721},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.49908947944641113},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4316670298576355},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.42754867672920227},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3785189986228943},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.2531684935092926},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19021961092948914}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9630790948867798},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.615857720375061},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5460612177848816},{"id":"https://openalex.org/C105427703","wikidata":"https://www.wikidata.org/wiki/Q665193","display_name":"Discretization of continuous features","level":4,"score":0.5453751087188721},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.49908947944641113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4316670298576355},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.42754867672920227},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3785189986228943},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.2531684935092926},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19021961092948914}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/acc.2017.7963327","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963327","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1435444","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1435444","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"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":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:mediatum.ub.tum.de:node/1435444","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1435444","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"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":"","raw_type":"article"},"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1504222318","https://openalex.org/W1526120274","https://openalex.org/W1553823556","https://openalex.org/W1984385212","https://openalex.org/W1988628491","https://openalex.org/W2015058232","https://openalex.org/W2017293758","https://openalex.org/W2039145402","https://openalex.org/W2058395393","https://openalex.org/W2064584027","https://openalex.org/W2084853999","https://openalex.org/W2086419385","https://openalex.org/W2115482878","https://openalex.org/W2143964084","https://openalex.org/W2144355672","https://openalex.org/W2162512568","https://openalex.org/W2170448165","https://openalex.org/W2199703191","https://openalex.org/W2209086810","https://openalex.org/W2328463468","https://openalex.org/W2477439613","https://openalex.org/W4300998257"],"related_works":["https://openalex.org/W2378829248","https://openalex.org/W1492103595","https://openalex.org/W2005929752","https://openalex.org/W2370926798","https://openalex.org/W2340621450","https://openalex.org/W2357904669","https://openalex.org/W2799209613","https://openalex.org/W3114093281","https://openalex.org/W4295736060","https://openalex.org/W4220931593"],"abstract_inverted_index":{"This":[0,22],"paper":[1],"proposes":[2],"a":[3],"finite":[4],"difference":[5],"spatial":[6,80],"discretization":[7,34,74,81],"scheme":[8,23,82],"that":[9],"preserve":[10],"the":[11,27,33,36,43,54,58,63,73,79],"port-Hamiltonian":[12],"structure":[13,61],"of":[14,29,35,42,53,62,78],"1D":[15],"and":[16,38,85],"2D":[17],"infinite":[18],"dimensional":[19],"hyperbolic":[20],"systems.":[21],"is":[24,46,70,83,88],"based":[25],"on":[26],"use":[28],"staggered":[30],"grids":[31],"for":[32],"state":[37,40],"co":[39],"variables":[41],"system.":[44],"It":[45],"shown":[47],"that,":[48],"by":[49],"an":[50],"appropriate":[51],"choice":[52],"boundary":[55],"port":[56],"variables,":[57],"underlying":[59],"geometric":[60],"infinite-dimensional":[64],"system,":[65],"i.e.":[66],"its":[67,86],"Dirac":[68],"structure,":[69],"preserved":[71],"during":[72],"step.":[75],"The":[76],"consistency":[77],"evaluated":[84],"accuracy":[87],"validated":[89],"with":[90],"numerical":[91],"results.":[92]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
