{"id":"https://openalex.org/W1990180500","doi":"https://doi.org/10.1016/0097-8485(95)00047-v","title":"Numerical stability of the Saul'yev finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis for an example problem involving mixed boundary conditions","display_name":"Numerical stability of the Saul'yev finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis for an example problem involving mixed boundary conditions","publication_year":1995,"publication_date":"1995-12-01","ids":{"openalex":"https://openalex.org/W1990180500","doi":"https://doi.org/10.1016/0097-8485(95)00047-v","mag":"1990180500"},"language":"en","primary_location":{"id":"doi:10.1016/0097-8485(95)00047-v","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8485(95)00047-v","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 & 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/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Les\u0142aw K. Bieniasz","raw_affiliation_strings":["Kemisk Institut, Aarhus Universitet, Langelandsgade 140, 8000 Aarhus C Denmark"],"affiliations":[{"raw_affiliation_string":"Kemisk Institut, Aarhus Universitet, Langelandsgade 140, 8000 Aarhus C Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"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":["Datalogisk Afdeling, Aarhus Universitet, Ny Munkegade, Bldg 540, 8000 Aarhus C, Denmark"],"affiliations":[{"raw_affiliation_string":"Datalogisk Afdeling, Aarhus Universitet, 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":["Kemisk Institut, Aarhus Universitet, Langelandsgade 140, 8000 Aarhus C Denmark"],"affiliations":[{"raw_affiliation_string":"Kemisk Institut, Aarhus Universitet, Langelandsgade 140, 8000 Aarhus C Denmark","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011127615"],"corresponding_institution_ids":["https://openalex.org/I204337017"],"apc_list":null,"apc_paid":null,"fwci":0.5587,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.6178682,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"4","first_page":"357","last_page":"370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9650999903678894,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9650999903678894,"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/T13791","display_name":"Veterinary medicine and infectious diseases","score":0.9114999771118164,"subfield":{"id":"https://openalex.org/subfields/3404","display_name":"Small Animals"},"field":{"id":"https://openalex.org/fields/34","display_name":"Veterinary"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.909600019454956,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/discretization","display_name":"Discretization","score":0.743711531162262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6417092084884644},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6207314133644104},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5845414400100708},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5769919753074646},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5640783309936523},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4965088963508606},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.480630099773407},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4801294505596161},{"id":"https://openalex.org/keywords/dimensionless-quantity","display_name":"Dimensionless quantity","score":0.46609628200531006},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42891210317611694},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42566072940826416},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.36926668882369995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17509505152702332},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14087975025177002},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09853750467300415},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08901220560073853}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.743711531162262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6417092084884644},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6207314133644104},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5845414400100708},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5769919753074646},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5640783309936523},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4965088963508606},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.480630099773407},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4801294505596161},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.46609628200531006},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42891210317611694},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42566072940826416},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.36926668882369995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17509505152702332},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14087975025177002},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09853750467300415},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08901220560073853},{"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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0097-8485(95)00047-v","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8485(95)00047-v","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 & Chemistry","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/da252873-75e3-46ee-b73c-e2fe81ce734f","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/da252873-75e3-46ee-b73c-e2fe81ce734f","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 1995, 'Numerical stability of the Saul'yev finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis for an example problem involving mixed boundary conditions', Computers & Chemistry, vol. 19, no. 4, pp. 357-370. https://doi.org/10.1016/0097-8485(95)00047-V","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1652079258","https://openalex.org/W1654733076","https://openalex.org/W1969875725","https://openalex.org/W1975400766","https://openalex.org/W1984929416","https://openalex.org/W1988438829","https://openalex.org/W1989157562","https://openalex.org/W1994185738","https://openalex.org/W1997297656","https://openalex.org/W2004168614","https://openalex.org/W2026905350","https://openalex.org/W2027170487","https://openalex.org/W2027258649","https://openalex.org/W2028473880","https://openalex.org/W2035155528","https://openalex.org/W2041507721","https://openalex.org/W2042255949","https://openalex.org/W2053913676","https://openalex.org/W2057711938","https://openalex.org/W2061187548","https://openalex.org/W2062352329","https://openalex.org/W2069825639","https://openalex.org/W2083043823","https://openalex.org/W2093363142","https://openalex.org/W2101928401","https://openalex.org/W2111729051","https://openalex.org/W2153510058","https://openalex.org/W2295169085","https://openalex.org/W2325298721","https://openalex.org/W2480004298","https://openalex.org/W2588829106","https://openalex.org/W2972478049","https://openalex.org/W3121554115","https://openalex.org/W4205605822","https://openalex.org/W4300451678","https://openalex.org/W7024430192","https://openalex.org/W7047050964"],"related_works":["https://openalex.org/W2172134156","https://openalex.org/W4309200418","https://openalex.org/W4288714182","https://openalex.org/W2312209955","https://openalex.org/W2041064645","https://openalex.org/W2484984497","https://openalex.org/W2003428754","https://openalex.org/W2082186803","https://openalex.org/W2695443359","https://openalex.org/W2349261758"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"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"}