{"id":"https://openalex.org/W2501389413","doi":"https://doi.org/10.1007/s10915-016-0256-z","title":"Stability of Nonlinear Convection\u2013Diffusion\u2013Reaction Systems in Discontinuous Galerkin Methods","display_name":"Stability of Nonlinear Convection\u2013Diffusion\u2013Reaction Systems in Discontinuous Galerkin Methods","publication_year":2016,"publication_date":"2016-08-10","ids":{"openalex":"https://openalex.org/W2501389413","doi":"https://doi.org/10.1007/s10915-016-0256-z","mag":"2501389413"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-016-0256-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0256-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","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/A5090989317","display_name":"Craig Michoski","orcid":"https://orcid.org/0000-0002-6356-233X"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. Michoski","raw_affiliation_strings":["Aerospace Engineering Sciences, Computational Mechanics and Geometry Laboratory (CMGLab), University of Colorado at Boulder, Boulder, CO, 80302, USA","Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"Aerospace Engineering Sciences, Computational Mechanics and Geometry Laboratory (CMGLab), University of Colorado at Boulder, Boulder, CO, 80302, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037337131","display_name":"Alen Alexanderian","orcid":"https://orcid.org/0000-0002-6371-6618"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Alexanderian","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108254737","display_name":"Ch. Paillet","orcid":null},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C. Paillet","raw_affiliation_strings":["Department of Mechanical Engineering, \u00c9cole normale sup\u00e9rieure de Cachan, 94230, Cachan, France"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, \u00c9cole normale sup\u00e9rieure de Cachan, 94230, Cachan, France","institution_ids":["https://openalex.org/I11559806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055657922","display_name":"Ethan J. Kubatko","orcid":"https://orcid.org/0000-0002-5686-9990"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. J. Kubatko","raw_affiliation_strings":["Civil Engineering and Geodetic Engineering Department, The Ohio State University, Columbus, OH, 43210, USA"],"affiliations":[{"raw_affiliation_string":"Civil Engineering and Geodetic Engineering Department, The Ohio State University, Columbus, OH, 43210, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089253713","display_name":"Clint Dawson","orcid":"https://orcid.org/0000-0001-7273-0684"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Dawson","raw_affiliation_strings":["Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5090989317"],"corresponding_institution_ids":["https://openalex.org/I188538660","https://openalex.org/I86519309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2458,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.78309006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"70","issue":"2","first_page":"516","last_page":"550"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994000196456909,"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":0.6906381249427795},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.64890056848526},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6415407657623291},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5717775821685791},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5650915503501892},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.526050329208374},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.493118017911911},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4570922255516052},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.41629067063331604},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4161161780357361},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4053846001625061},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40401342511177063},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.20795860886573792},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.14528000354766846},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1301020383834839},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11350306868553162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06141611933708191}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6906381249427795},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.64890056848526},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6415407657623291},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5717775821685791},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5650915503501892},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.526050329208374},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.493118017911911},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4570922255516052},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.41629067063331604},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4161161780357361},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4053846001625061},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40401342511177063},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.20795860886573792},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.14528000354766846},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1301020383834839},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11350306868553162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06141611933708191},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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":1,"locations":[{"id":"doi:10.1007/s10915-016-0256-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0256-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.6700000166893005,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G6322864921","display_name":null,"funder_award_id":"1217218","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G834019663","display_name":null,"funder_award_id":"ACI-133980","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337377","display_name":"Office of Advanced Cyberinfrastructure","ror":"https://ror.org/04nh1dc89"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W12091289","https://openalex.org/W30870231","https://openalex.org/W49566120","https://openalex.org/W330536890","https://openalex.org/W611678245","https://openalex.org/W1964985536","https://openalex.org/W1965171900","https://openalex.org/W1965490868","https://openalex.org/W1966241802","https://openalex.org/W1968642437","https://openalex.org/W1973481688","https://openalex.org/W1973942282","https://openalex.org/W1976612557","https://openalex.org/W1979156898","https://openalex.org/W1984519794","https://openalex.org/W1989231059","https://openalex.org/W1990944243","https://openalex.org/W1992822436","https://openalex.org/W2003713229","https://openalex.org/W2009812535","https://openalex.org/W2010069926","https://openalex.org/W2022576003","https://openalex.org/W2040655534","https://openalex.org/W2043376739","https://openalex.org/W2043577075","https://openalex.org/W2045280044","https://openalex.org/W2061143699","https://openalex.org/W2062951693","https://openalex.org/W2079830225","https://openalex.org/W2086412476","https://openalex.org/W2087667894","https://openalex.org/W2094751958","https://openalex.org/W2103558875","https://openalex.org/W2104674399","https://openalex.org/W2110809672","https://openalex.org/W2116729868","https://openalex.org/W2118478556","https://openalex.org/W2130350269","https://openalex.org/W2146513961","https://openalex.org/W2168225205","https://openalex.org/W2170341408","https://openalex.org/W2314485382","https://openalex.org/W2315715184","https://openalex.org/W2482071863","https://openalex.org/W2506975475","https://openalex.org/W3010292040","https://openalex.org/W3098107311","https://openalex.org/W3102321527","https://openalex.org/W3105894666","https://openalex.org/W4235888992","https://openalex.org/W4244063180","https://openalex.org/W4292081050"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2012983134","https://openalex.org/W2120874885","https://openalex.org/W4388599312","https://openalex.org/W2090218458","https://openalex.org/W2053355289","https://openalex.org/W2368811332","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}