{"id":"https://openalex.org/W4299167831","doi":"https://doi.org/10.1137/21m1429023","title":"An Entropic Method for Discrete Systems with Gibbs Entropy","display_name":"An Entropic Method for Discrete Systems with Gibbs Entropy","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W4299167831","doi":"https://doi.org/10.1137/21m1429023"},"language":"en","primary_location":{"id":"doi:10.1137/21m1429023","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1429023","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/A5025938442","display_name":"Zhenning Cai","orcid":"https://orcid.org/0000-0002-7086-7983"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Zhenning Cai","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Singapore 119076"],"raw_orcid":"https://orcid.org/0000-0002-7086-7983","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore 119076","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019581016","display_name":"Jingwei Hu","orcid":"https://orcid.org/0000-0001-6792-6711"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jingwei Hu","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007818254","display_name":"Yang Kuang","orcid":"https://orcid.org/0000-0003-3680-736X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yang Kuang","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Singapore 119076"],"raw_orcid":"https://orcid.org/0000-0003-3680-736X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore 119076","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038042986","display_name":"Bo Lin","orcid":"https://orcid.org/0000-0001-9120-3142"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Bo Lin","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Singapore 119076"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore 119076","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5019581016"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":0.3323,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5144556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"60","issue":"4","first_page":"2345","last_page":"2371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.995199978351593,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.995199978351593,"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":0.9915000200271606,"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":0.9861000180244446,"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/mathematics","display_name":"Mathematics","score":0.82306969165802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.535425066947937},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.524426281452179},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.49953222274780273},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4951249659061432},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.4603642225265503},{"id":"https://openalex.org/keywords/h-theorem","display_name":"H-theorem","score":0.45472776889801025},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.43522441387176514},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4269120395183563},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41557246446609497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3648272752761841},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3061422109603882},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.2808532416820526},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.20382341742515564},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0844602882862091},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0747341513633728}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.82306969165802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.535425066947937},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.524426281452179},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.49953222274780273},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4951249659061432},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.4603642225265503},{"id":"https://openalex.org/C179434709","wikidata":"https://www.wikidata.org/wiki/Q899853","display_name":"H-theorem","level":5,"score":0.45472776889801025},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.43522441387176514},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4269120395183563},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41557246446609497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3648272752761841},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3061422109603882},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.2808532416820526},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.20382341742515564},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0844602882862091},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0747341513633728},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1429023","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1429023","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1984939654","display_name":null,"funder_award_id":"1654152","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3631037368","display_name":null,"funder_award_id":"DMS-1654152","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4607202638","display_name":null,"funder_award_id":"DMS-2153208","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G760993436","display_name":null,"funder_award_id":"R-146-000-326-112","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G7633250875","display_name":null,"funder_award_id":"R-146-000-305-114","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1523576555","https://openalex.org/W1974007886","https://openalex.org/W1993045312","https://openalex.org/W1993618814","https://openalex.org/W1994402081","https://openalex.org/W2025982575","https://openalex.org/W2037783202","https://openalex.org/W2051358691","https://openalex.org/W2068728923","https://openalex.org/W2072226973","https://openalex.org/W2167278920","https://openalex.org/W2583911708","https://openalex.org/W2739470739","https://openalex.org/W2811272656","https://openalex.org/W2902036597","https://openalex.org/W2945076242","https://openalex.org/W2963985578","https://openalex.org/W2995756203","https://openalex.org/W3011239099","https://openalex.org/W3103747187","https://openalex.org/W3106268064","https://openalex.org/W4206447028","https://openalex.org/W4299439662"],"related_works":["https://openalex.org/W2034921015","https://openalex.org/W59993211","https://openalex.org/W2889261288","https://openalex.org/W2064875109","https://openalex.org/W4385752617","https://openalex.org/W2042719478","https://openalex.org/W2068679119","https://openalex.org/W2351977092","https://openalex.org/W2048700611","https://openalex.org/W20961974"],"abstract_inverted_index":{"We":[0],"consider":[1],"general":[2,38],"systems":[3],"of":[4,27,51],"ordinary":[5],"differential":[6],"equations":[7],"with":[8],"monotonic":[9],"Gibbs":[10],"entropy":[11,21,41],"and":[12,55,79],"introduce":[13],"an":[14,20],"entropic":[15],"scheme":[16,65],"that":[17,35,63],"simply":[18],"imposes":[19],"fix":[22,42],"after":[23],"every":[24],"time":[25,30],"step":[26],"any":[28],"existing":[29],"integrator.":[31],"It":[32],"is":[33],"proved":[34],"in":[36,56],"the":[37,48,52,64,69,75],"case,":[39],"our":[40,88],"has":[43],"only":[44],"infinitesimal":[45],"influence":[46],"on":[47,74],"numerical":[49,70,89],"order":[50],"original":[53],"scheme,":[54],"many":[57],"circumstances,":[58],"it":[59],"can":[60],"be":[61],"shown":[62],"does":[66],"not":[67],"affect":[68],"order.":[71],"Numerical":[72],"experiments":[73],"linear":[76],"Fokker--Planck":[77],"equation":[78,82],"nonlinear":[80],"Boltzmann":[81],"are":[83],"carried":[84],"out":[85],"to":[86],"support":[87],"analysis.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}