{"id":"https://openalex.org/W2079728363","doi":"https://doi.org/10.1016/s0097-8485(97)00033-8","title":"The effect of the discretization of the mixed boundary conditions on the numerical stability of the Crank-Nicolson algorithm of electrochemical kinetic simulations","display_name":"The effect of the discretization of the mixed boundary conditions on the numerical stability of the Crank-Nicolson algorithm of electrochemical kinetic simulations","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2079728363","doi":"https://doi.org/10.1016/s0097-8485(97)00033-8","mag":"2079728363"},"language":"en","primary_location":{"id":"doi:10.1016/s0097-8485(97)00033-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-8485(97)00033-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210194753","display_name":"Computers & Chemistry","issn_l":"0097-8485","issn":["0097-8485","1879-0763"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Chemistry","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/A5011127615","display_name":"Les\u0142aw K. Bieniasz","orcid":"https://orcid.org/0000-0002-3937-2050"},"institutions":[{"id":"https://openalex.org/I4210157029","display_name":"Institute of Physical Chemistry","ror":"https://ror.org/05e830h62","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210157029","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Les\u0142aw K. Bieniasz","raw_affiliation_strings":["Institute of Physical Chemistry of the Polish Academy of Sciences, Molten Salts Laboratory, ul. Zagrody 13, 30-318 Cracow, Poland","Institute of Physical Chemistry of the Polish Academy of Sciences, Molten Salts Laboratory, ul. Zagrody 13, 30\u2013318 Cracow, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physical Chemistry of the Polish Academy of Sciences, Molten Salts Laboratory, ul. Zagrody 13, 30-318 Cracow, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210157029"]},{"raw_affiliation_string":"Institute of Physical Chemistry of the Polish Academy of Sciences, Molten Salts Laboratory, ul. Zagrody 13, 30\u2013318 Cracow, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210157029"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002391604","display_name":"Ole \u00d8sterby","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Ole \u00d8sterby","raw_affiliation_strings":["Computer Science Department, Aarhus University, Ny Munkegade, Bldg. 540, 8000 Aarhus C, Denmark"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aarhus University, Ny Munkegade, Bldg. 540, 8000 Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004136366","display_name":"Dieter Britz","orcid":"https://orcid.org/0000-0003-1477-5627"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Dieter Britz","raw_affiliation_strings":["Chemistry Department, Aarhus University, Langelandsgade 140, 8000 Aarhus C, Denmark"],"affiliations":[{"raw_affiliation_string":"Chemistry Department, Aarhus University, Langelandsgade 140, 8000 Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011127615"],"corresponding_institution_ids":["https://openalex.org/I4210157029","https://openalex.org/I99542240"],"apc_list":null,"apc_paid":null,"fwci":0.9764,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.69081439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"21","issue":"6","first_page":"391","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11434","display_name":"Electrochemical Analysis and Applications","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1603","display_name":"Electrochemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11434","display_name":"Electrochemical Analysis and Applications","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1603","display_name":"Electrochemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10310","display_name":"Corrosion Behavior and Inhibition","score":0.9869999885559082,"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/T12875","display_name":"Thermal Expansion and Ionic Conductivity","score":0.9830999970436096,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8815528750419617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7214943170547485},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5976791977882385},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5914312601089478},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.590766966342926},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5749558210372925},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5669052600860596},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.49226251244544983},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47621092200279236},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4001213312149048},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1054258942604065}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8815528750419617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7214943170547485},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5976791977882385},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5914312601089478},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.590766966342926},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5749558210372925},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5669052600860596},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.49226251244544983},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47621092200279236},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4001213312149048},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1054258942604065},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0097-8485(97)00033-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-8485(97)00033-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210194753","display_name":"Computers & Chemistry","issn_l":"0097-8485","issn":["0097-8485","1879-0763"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Chemistry","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/e39d5f90-436f-4ab5-8868-da92ec2abef7","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/e39d5f90-436f-4ab5-8868-da92ec2abef7","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bieniasz, L K, \u00d8sterby, O & Britz, D 1997, 'The effect of the discretization of the mixed boundary conditions on the numerical stability of the Crank-Nicolson algorithm of electrochemical kinetic simulations', Computers & Chemistry, vol. 21, no. 6, pp. 391-401. https://doi.org/10.1016/S0097-8485(97)00033-8","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W103322099","https://openalex.org/W1556708905","https://openalex.org/W1563682235","https://openalex.org/W1652079258","https://openalex.org/W1654733076","https://openalex.org/W1969875725","https://openalex.org/W1976172429","https://openalex.org/W1977087017","https://openalex.org/W1979146918","https://openalex.org/W1981068439","https://openalex.org/W1984081117","https://openalex.org/W1984929416","https://openalex.org/W1988438829","https://openalex.org/W1990880230","https://openalex.org/W2004168614","https://openalex.org/W2011639216","https://openalex.org/W2015512560","https://openalex.org/W2026880525","https://openalex.org/W2026905350","https://openalex.org/W2027170487","https://openalex.org/W2035987650","https://openalex.org/W2041507721","https://openalex.org/W2042255949","https://openalex.org/W2047019026","https://openalex.org/W2054750834","https://openalex.org/W2059586807","https://openalex.org/W2062304966","https://openalex.org/W2066021858","https://openalex.org/W2067895221","https://openalex.org/W2084978979","https://openalex.org/W2089273866","https://openalex.org/W2090661399","https://openalex.org/W2316829519","https://openalex.org/W2318839672","https://openalex.org/W2331044946","https://openalex.org/W2334837923","https://openalex.org/W2568342123","https://openalex.org/W2569133694","https://openalex.org/W2588829106","https://openalex.org/W3035235874","https://openalex.org/W3121554115","https://openalex.org/W4300451678","https://openalex.org/W6644820195","https://openalex.org/W7019184214"],"related_works":["https://openalex.org/W2122344339","https://openalex.org/W2989780569","https://openalex.org/W2466288331","https://openalex.org/W2330640442","https://openalex.org/W3114093281","https://openalex.org/W2392533133","https://openalex.org/W4295736060","https://openalex.org/W4220931593","https://openalex.org/W2564986544","https://openalex.org/W4248475299"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
