{"id":"https://openalex.org/W3118244462","doi":"https://doi.org/10.1090/mcom/3686","title":"Convergence analysis of some tent-based schemes for linear hyperbolic systems","display_name":"Convergence analysis of some tent-based schemes for linear hyperbolic systems","publication_year":2021,"publication_date":"2021-07-28","ids":{"openalex":"https://openalex.org/W3118244462","doi":"https://doi.org/10.1090/mcom/3686","mag":"3118244462"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3686","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3686","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.04798","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056213399","display_name":"Dow Drake","orcid":"https://orcid.org/0000-0002-0957-8824"},"institutions":[{"id":"https://openalex.org/I126345244","display_name":"Portland State University","ror":"https://ror.org/00yn2fy02","country_code":"US","type":"education","lineage":["https://openalex.org/I126345244"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dow Drake","raw_affiliation_strings":["Fariborz Maseeh Department of Mathematics & Statistics, Portland State University, PO Box 751, Portland, Oregon 97207"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fariborz Maseeh Department of Mathematics & Statistics, Portland State University, PO Box 751, Portland, Oregon 97207","institution_ids":["https://openalex.org/I126345244"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022236310","display_name":"Jay Gopalakrishnan","orcid":"https://orcid.org/0000-0001-7508-3232"},"institutions":[{"id":"https://openalex.org/I126345244","display_name":"Portland State University","ror":"https://ror.org/00yn2fy02","country_code":"US","type":"education","lineage":["https://openalex.org/I126345244"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jay Gopalakrishnan","raw_affiliation_strings":["Fariborz Maseeh Department of Mathematics & Statistics, Portland State University, PO Box 751, Portland, Oregon 97207"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fariborz Maseeh Department of Mathematics & Statistics, Portland State University, PO Box 751, Portland, Oregon 97207","institution_ids":["https://openalex.org/I126345244"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021823634","display_name":"Joachim Sch\u00f6berl","orcid":"https://orcid.org/0000-0002-1250-5087"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Joachim Sch\u00f6berl","raw_affiliation_strings":["Institute of Analysis and Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Analysis and Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016596256","display_name":"Christoph M. Wintersteiger","orcid":"https://orcid.org/0000-0003-0102-4381"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Christoph Wintersteiger","raw_affiliation_strings":["Institute of Analysis and Scientific Computing, Technische Universit\u00c3\u00a4t Wien, Wiedner Hauptstra\u00c3\u009fe 8-10, 1040 Wien, Austria","Institute of Analysis and Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Analysis and Scientific Computing, Technische Universit\u00c3\u00a4t Wien, Wiedner Hauptstra\u00c3\u009fe 8-10, 1040 Wien, Austria","institution_ids":[]},{"raw_affiliation_string":"Institute of Analysis and Scientific Computing, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1521,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.36245577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"91","issue":"334","first_page":"699","last_page":"733"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9983000159263611,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7721744775772095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6464905142784119},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5480738282203674},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5163780450820923},{"id":"https://openalex.org/keywords/causality","display_name":"Causality (physics)","score":0.5111151337623596},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.48798102140426636},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.47361040115356445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22346043586730957},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07510611414909363}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7721744775772095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6464905142784119},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5480738282203674},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5163780450820923},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.5111151337623596},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.48798102140426636},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.47361040115356445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22346043586730957},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07510611414909363},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1090/mcom/3686","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3686","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2101.04798","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.04798","pdf_url":"https://arxiv.org/pdf/2101.04798","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3118244462","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2101.04798","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:pdxscholar.library.pdx.edu:mth_fac-1348","is_oa":false,"landing_page_url":"https://pdxscholar.library.pdx.edu/mth_fac/344","pdf_url":null,"source":{"id":"https://openalex.org/S4377196300","display_name":"PDXScholar  (Portland State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126345244","host_organization_name":"Portland State University","host_organization_lineage":["https://openalex.org/I126345244"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics and Statistics Faculty Publications and Presentations","raw_type":"text"},{"id":"doi:10.48550/arxiv.2101.04798","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2101.04798","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.04798","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.04798","pdf_url":"https://arxiv.org/pdf/2101.04798","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G2307820073","display_name":"New Finite Element Techniques for Simulating Flows and Waves","funder_award_id":"1912779","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3291898162","display_name":null,"funder_award_id":"DMS-1912779","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1480149586","https://openalex.org/W1491288654","https://openalex.org/W1571871558","https://openalex.org/W1991639740","https://openalex.org/W1994099903","https://openalex.org/W1998017442","https://openalex.org/W2009668798","https://openalex.org/W2012938047","https://openalex.org/W2014282047","https://openalex.org/W2040455845","https://openalex.org/W2041523977","https://openalex.org/W2069084681","https://openalex.org/W2092436849","https://openalex.org/W2093151475","https://openalex.org/W2104949606","https://openalex.org/W2109761786","https://openalex.org/W2150323068","https://openalex.org/W2341713123","https://openalex.org/W2463552244","https://openalex.org/W2505710937","https://openalex.org/W2890310150","https://openalex.org/W2954887805","https://openalex.org/W2955425889","https://openalex.org/W3046114297","https://openalex.org/W4232258220","https://openalex.org/W4251197584"],"related_works":["https://openalex.org/W3201798146","https://openalex.org/W1968208195","https://openalex.org/W2000661771","https://openalex.org/W2950571081","https://openalex.org/W3137891569","https://openalex.org/W1974504752","https://openalex.org/W2102769315","https://openalex.org/W3150548604","https://openalex.org/W2963349229","https://openalex.org/W3121032640","https://openalex.org/W3106476834","https://openalex.org/W3172916700","https://openalex.org/W2019464246","https://openalex.org/W3205918167","https://openalex.org/W2027535180","https://openalex.org/W1988703911","https://openalex.org/W3006962707","https://openalex.org/W2950909695","https://openalex.org/W2916979351","https://openalex.org/W3153731876"],"abstract_inverted_index":{"Finite":[0],"element":[1],"methods":[2],"for":[3,28,39],"symmetric":[4],"linear":[5],"hyperbolic":[6],"systems":[7],"using":[8],"unstructured":[9,70],"advancing":[10],"fronts":[11],"(satisfying":[12],"a":[13],"causality":[14],"condition)":[15],"are":[16,26,72],"considered":[17],"in":[18],"this":[19],"work.":[20],"Convergence":[21],"results":[22],"and":[23,65],"error":[24,58,67],"bounds":[25],"obtained":[27],"mapped":[29,43,50],"tent":[30],"pitching":[31],"schemes":[32],"made":[33],"with":[34],"standard":[35],"discontinuous":[36],"Galerkin":[37],"discretizations":[38],"spatial":[40],"approximation":[41],"on":[42,49,62],"tents.":[44],"Techniques":[45],"to":[46],"study":[47],"semidiscretization":[48],"tents,":[51],"design":[52],"fully":[53],"discrete":[54],"schemes,":[55],"prove":[56,60],"local":[57],"bounds,":[59],"stability":[61],"spacetime":[63],"fronts,":[64],"bound":[66],"propagated":[68],"through":[69],"layers":[71],"developed.":[73]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}