{"id":"https://openalex.org/W4386692118","doi":"https://doi.org/10.1007/s10915-023-02345-9","title":"A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson\u2013Nernst\u2013Planck System and Its Convergence Analysis","display_name":"A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson\u2013Nernst\u2013Planck System and Its Convergence Analysis","publication_year":2023,"publication_date":"2023-09-12","ids":{"openalex":"https://openalex.org/W4386692118","doi":"https://doi.org/10.1007/s10915-023-02345-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02345-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02345-9","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/A5100373889","display_name":"Chun Liu","orcid":"https://orcid.org/0000-0002-0480-0107"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chun Liu","raw_affiliation_strings":["Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL, 60616, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL, 60616, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100678482","display_name":"Cheng Wang","orcid":"https://orcid.org/0000-0003-2230-9386"},"institutions":[{"id":"https://openalex.org/I100633361","display_name":"University of Massachusetts Dartmouth","ror":"https://ror.org/00fzmm222","country_code":"US","type":"education","lineage":["https://openalex.org/I100633361"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cheng Wang","raw_affiliation_strings":["Department of Mathematics, University of Massachusetts, North Dartmouth, MA, 02747, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Massachusetts, North Dartmouth, MA, 02747, USA","institution_ids":["https://openalex.org/I100633361"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028411348","display_name":"Steven M. Wise","orcid":"https://orcid.org/0000-0003-3824-2075"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven M. Wise","raw_affiliation_strings":["Department of Mathematics, The University of Tennessee, Knoxville, TN, 37996, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Tennessee, Knoxville, TN, 37996, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000753564","display_name":"Xingye Yue","orcid":null},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingye Yue","raw_affiliation_strings":["Department of Mathematics, Soochow University, Suzhou, 215006, People\u2019s Republic of China","Department of Mathematics, Soochow University, Suzhou, 215006, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Soochow University, Suzhou, 215006, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3923682"]},{"raw_affiliation_string":"Department of Mathematics, Soochow University, Suzhou, 215006, People's Republic of China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079405126","display_name":"Shenggao Zhou","orcid":"https://orcid.org/0000-0001-9097-8392"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shenggao Zhou","raw_affiliation_strings":["School of Mathematical Sciences, MOE-LSC, and CMAI-Shanghai, Shanghai Jiao Tong University, Shanghai, People\u2019s Republic of China","School of Mathematical Sciences, MOE-LSC, and CMAI-Shanghai, Shanghai Jiao Tong University, Shanghai, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-9097-8392","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, MOE-LSC, and CMAI-Shanghai, Shanghai Jiao Tong University, Shanghai, People\u2019s Republic of China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"School of Mathematical Sciences, MOE-LSC, and CMAI-Shanghai, Shanghai Jiao Tong University, Shanghai, People's Republic of China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079405126"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":12.6899,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.99568386,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"97","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8116245269775391},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6180492639541626},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.576850175857544},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5505144000053406},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5223894715309143},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5005154609680176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48154643177986145},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.47406262159347534},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.4390066862106323},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.4379805326461792},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.3668690323829651},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08785992860794067}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8116245269775391},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6180492639541626},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.576850175857544},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5505144000053406},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5223894715309143},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5005154609680176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48154643177986145},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.47406262159347534},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.4390066862106323},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.4379805326461792},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3668690323829651},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08785992860794067},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-023-02345-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02345-9","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":[{"score":0.5199999809265137,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G4335527545","display_name":null,"funder_award_id":"12171319","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G47414122","display_name":null,"funder_award_id":"2012634","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5464782092","display_name":null,"funder_award_id":"2012669","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5846048942","display_name":null,"funder_award_id":"11971342","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6236635015","display_name":null,"funder_award_id":"1759536","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7906420742","display_name":null,"funder_award_id":"1759535","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"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1973853715","https://openalex.org/W1974221287","https://openalex.org/W1976156829","https://openalex.org/W1991547299","https://openalex.org/W1997596874","https://openalex.org/W1999107555","https://openalex.org/W2008209583","https://openalex.org/W2013546773","https://openalex.org/W2029449803","https://openalex.org/W2030350543","https://openalex.org/W2031651409","https://openalex.org/W2031707365","https://openalex.org/W2031734874","https://openalex.org/W2033041293","https://openalex.org/W2047696693","https://openalex.org/W2050838507","https://openalex.org/W2056253594","https://openalex.org/W2077001143","https://openalex.org/W2079443647","https://openalex.org/W2079994134","https://openalex.org/W2083154033","https://openalex.org/W2097301883","https://openalex.org/W2099200620","https://openalex.org/W2109834126","https://openalex.org/W2114972463","https://openalex.org/W2121181367","https://openalex.org/W2149194593","https://openalex.org/W2160359157","https://openalex.org/W2167886272","https://openalex.org/W2168653054","https://openalex.org/W2185819688","https://openalex.org/W2410970256","https://openalex.org/W2521393946","https://openalex.org/W2553175992","https://openalex.org/W2626341890","https://openalex.org/W2740439779","https://openalex.org/W2915854667","https://openalex.org/W2962738836","https://openalex.org/W2963167146","https://openalex.org/W2963516047","https://openalex.org/W2981771356","https://openalex.org/W2992502473","https://openalex.org/W3013112318","https://openalex.org/W3015453200","https://openalex.org/W3080439246","https://openalex.org/W3098765149","https://openalex.org/W3133356548","https://openalex.org/W3171856336","https://openalex.org/W4230373105"],"related_works":["https://openalex.org/W2076949114","https://openalex.org/W2076887944","https://openalex.org/W2065561181","https://openalex.org/W2910189474","https://openalex.org/W2491724669","https://openalex.org/W2553664144","https://openalex.org/W3121130927","https://openalex.org/W2002333082","https://openalex.org/W2374564612","https://openalex.org/W2023917379"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":7}],"updated_date":"2026-05-09T13:55:54.758798","created_date":"2025-10-10T00:00:00"}