{"id":"https://openalex.org/W1986582523","doi":"https://doi.org/10.1016/j.jcp.2013.03.058","title":"Numerical methods for the Poisson\u2013Fermi equation in electrolytes","display_name":"Numerical methods for the Poisson\u2013Fermi equation in electrolytes","publication_year":2013,"publication_date":"2013-04-16","ids":{"openalex":"https://openalex.org/W1986582523","doi":"https://doi.org/10.1016/j.jcp.2013.03.058","mag":"1986582523"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2013.03.058","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2013.03.058","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","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/A5006694479","display_name":"Jinn\u2010Liang Liu","orcid":"https://orcid.org/0000-0001-9192-7335"},"institutions":[{"id":"https://openalex.org/I4210154699","display_name":"National Hsinchu University of Education","ror":"https://ror.org/05prep819","country_code":"TW","type":"education","lineage":["https://openalex.org/I4210154699"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jinn-Liang Liu","raw_affiliation_strings":["Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu 300, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu 300, Taiwan","institution_ids":["https://openalex.org/I4210154699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006694479"],"corresponding_institution_ids":["https://openalex.org/I4210154699"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":2.4513,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.89023047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"247","issue":null,"first_page":"88","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10480","display_name":"Ionic liquids properties and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1503","display_name":"Catalysis"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.5301966071128845},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49295997619628906},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4627658426761627},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.43594491481781006},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4277687966823578},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2804870307445526},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2728392779827118}],"concepts":[{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.5301966071128845},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49295997619628906},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4627658426761627},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.43594491481781006},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4277687966823578},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2804870307445526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2728392779827118},{"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:10.1016/j.jcp.2013.03.058","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2013.03.058","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":113,"referenced_works":["https://openalex.org/W2127434","https://openalex.org/W27727037","https://openalex.org/W226049426","https://openalex.org/W1576378530","https://openalex.org/W1587383330","https://openalex.org/W1796643877","https://openalex.org/W1884093178","https://openalex.org/W1929581919","https://openalex.org/W1967328861","https://openalex.org/W1967816586","https://openalex.org/W1968291495","https://openalex.org/W1972760372","https://openalex.org/W1975458236","https://openalex.org/W1976984476","https://openalex.org/W1980001934","https://openalex.org/W1982085334","https://openalex.org/W1983915526","https://openalex.org/W1989521488","https://openalex.org/W1991242688","https://openalex.org/W1994764834","https://openalex.org/W1995597192","https://openalex.org/W1996017356","https://openalex.org/W1996404652","https://openalex.org/W1997596874","https://openalex.org/W2001900040","https://openalex.org/W2002116790","https://openalex.org/W2002484456","https://openalex.org/W2002745949","https://openalex.org/W2010898764","https://openalex.org/W2014475794","https://openalex.org/W2019802107","https://openalex.org/W2021534482","https://openalex.org/W2021747225","https://openalex.org/W2023258967","https://openalex.org/W2029667189","https://openalex.org/W2033102303","https://openalex.org/W2033899241","https://openalex.org/W2035022967","https://openalex.org/W2035645376","https://openalex.org/W2035663324","https://openalex.org/W2040692275","https://openalex.org/W2043340535","https://openalex.org/W2046528357","https://openalex.org/W2047544230","https://openalex.org/W2048747418","https://openalex.org/W2051310200","https://openalex.org/W2052614669","https://openalex.org/W2053239236","https://openalex.org/W2053340393","https://openalex.org/W2053379544","https://openalex.org/W2053544741","https://openalex.org/W2055579673","https://openalex.org/W2055606802","https://openalex.org/W2058418045","https://openalex.org/W2060212880","https://openalex.org/W2060304556","https://openalex.org/W2070932504","https://openalex.org/W2071091971","https://openalex.org/W2072419120","https://openalex.org/W2073427285","https://openalex.org/W2076642757","https://openalex.org/W2080764901","https://openalex.org/W2081588627","https://openalex.org/W2084236951","https://openalex.org/W2085059758","https://openalex.org/W2086200041","https://openalex.org/W2088498986","https://openalex.org/W2090647880","https://openalex.org/W2090893608","https://openalex.org/W2090963365","https://openalex.org/W2092549156","https://openalex.org/W2092649193","https://openalex.org/W2099887317","https://openalex.org/W2106115249","https://openalex.org/W2107501462","https://openalex.org/W2115010649","https://openalex.org/W2116088282","https://openalex.org/W2117488859","https://openalex.org/W2130214491","https://openalex.org/W2131852035","https://openalex.org/W2133508946","https://openalex.org/W2137053768","https://openalex.org/W2140387994","https://openalex.org/W2145123561","https://openalex.org/W2149537211","https://openalex.org/W2151071654","https://openalex.org/W2151317657","https://openalex.org/W2162083385","https://openalex.org/W2165565773","https://openalex.org/W2188421642","https://openalex.org/W2314866859","https://openalex.org/W2321129318","https://openalex.org/W2325859011","https://openalex.org/W2326203395","https://openalex.org/W2333337922","https://openalex.org/W2569133694","https://openalex.org/W2787700606","https://openalex.org/W2883176708","https://openalex.org/W2963801801","https://openalex.org/W3035235874","https://openalex.org/W3102773327","https://openalex.org/W4244360209","https://openalex.org/W4250967424","https://openalex.org/W4285719527","https://openalex.org/W4293003482","https://openalex.org/W6631828510","https://openalex.org/W6634320105","https://openalex.org/W6637992806","https://openalex.org/W6649247893","https://openalex.org/W6660566315","https://openalex.org/W6679779247","https://openalex.org/W6687209062","https://openalex.org/W7065530561"],"related_works":["https://openalex.org/W2005266888","https://openalex.org/W2102423997","https://openalex.org/W2804223419","https://openalex.org/W2030758695","https://openalex.org/W2004475824","https://openalex.org/W2002507860","https://openalex.org/W2002980490","https://openalex.org/W3023274365","https://openalex.org/W2003892669","https://openalex.org/W2088509780"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2025-10-10T00:00:00"}
