{"id":"https://openalex.org/W2087564165","doi":"https://doi.org/10.1007/s10915-004-4799-z","title":"Stability Analysis of Difference Methods for Parabolic Initial Value Problems","display_name":"Stability Analysis of Difference Methods for Parabolic Initial Value Problems","publication_year":2005,"publication_date":"2005-12-30","ids":{"openalex":"https://openalex.org/W2087564165","doi":"https://doi.org/10.1007/s10915-004-4799-z","mag":"2087564165"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-004-4799-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-004-4799-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-004-4799-z.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-004-4799-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059802527","display_name":"Erc\u0131\u0301lia Sousa","orcid":"https://orcid.org/0000-0003-4021-4559"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Erc\u00edlia Sousa","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade de Coimbra, Apartado 3008, 3000, Coimbra, Portugal","Departamento de Matem\u00e0tica, Universidade de Coimbra, Coimbra, Portugal 3000#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de Coimbra, Apartado 3008, 3000, Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]},{"raw_affiliation_string":"Departamento de Matem\u00e0tica, Universidade de Coimbra, Coimbra, Portugal 3000#TAB#","institution_ids":["https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059802527"],"corresponding_institution_ids":["https://openalex.org/I76903346"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8478,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75237607,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"45","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9945999979972839,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9945999979972839,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.8848874568939209},{"id":"https://openalex.org/keywords/normal-mode","display_name":"Normal mode","score":0.6286378502845764},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.600209653377533},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5951244831085205},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5831697583198547},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5439529418945312},{"id":"https://openalex.org/keywords/von-neumann-stability-analysis","display_name":"Von Neumann stability analysis","score":0.5139736533164978},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.467172235250473},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4111328125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3993972837924957},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.3367330729961395},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.06747961044311523}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8848874568939209},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.6286378502845764},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.600209653377533},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5951244831085205},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5831697583198547},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5439529418945312},{"id":"https://openalex.org/C71477052","wikidata":"https://www.wikidata.org/wiki/Q458556","display_name":"Von Neumann stability analysis","level":4,"score":0.5139736533164978},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.467172235250473},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4111328125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3993972837924957},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.3367330729961395},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.06747961044311523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10915-004-4799-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-004-4799-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-004-4799-z.pdf","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.720.62","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.720.62","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.uc.pt/%7Eecs/2006-sousa-jsc.pdf","raw_type":"text"},{"id":"pmh:oai:estudogeral.sib.uc.pt:10316/7735","is_oa":false,"landing_page_url":"http://hdl.handle.net/10316/7735","pdf_url":null,"source":{"id":"https://openalex.org/S4306401208","display_name":"Estudo Geral (Universidade de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802025818","host_organization_name":"Hospitais da Universidade de Coimbra","host_organization_lineage":["https://openalex.org/I2802025818"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":{"id":"doi:10.1007/s10915-004-4799-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-004-4799-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-004-4799-z.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2087564165.pdf","grobid_xml":"https://content.openalex.org/works/W2087564165.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W752461834","https://openalex.org/W1538356049","https://openalex.org/W1551177943","https://openalex.org/W1968642437","https://openalex.org/W1973643940","https://openalex.org/W1975119001","https://openalex.org/W1979485669","https://openalex.org/W1982337795","https://openalex.org/W1983108430","https://openalex.org/W2000995318","https://openalex.org/W2006092373","https://openalex.org/W2029380259","https://openalex.org/W2041786636","https://openalex.org/W2046084819","https://openalex.org/W2049648727","https://openalex.org/W2054957652","https://openalex.org/W2060640820","https://openalex.org/W2069627726","https://openalex.org/W2076921967","https://openalex.org/W2078638882","https://openalex.org/W2082135284","https://openalex.org/W2088715250","https://openalex.org/W2098113967","https://openalex.org/W2098920641","https://openalex.org/W2315651828","https://openalex.org/W2785458696","https://openalex.org/W3003821699","https://openalex.org/W3006435741","https://openalex.org/W3036479320","https://openalex.org/W4212946773","https://openalex.org/W4247112247"],"related_works":["https://openalex.org/W2169469906","https://openalex.org/W2134050719","https://openalex.org/W2368213093","https://openalex.org/W2888445389","https://openalex.org/W1517741702","https://openalex.org/W1996622347","https://openalex.org/W2378263446","https://openalex.org/W1586418441","https://openalex.org/W2912764321","https://openalex.org/W2016723774"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}