{"id":"https://openalex.org/W1490992125","doi":"https://doi.org/10.1007/978-3-540-70942-8_55","title":"On the Sign-Stability of the Finite Difference Solutions of One-Dimensional Parabolic Problems","display_name":"On the Sign-Stability of the Finite Difference Solutions of One-Dimensional Parabolic Problems","publication_year":2007,"publication_date":"2007-05-13","ids":{"openalex":"https://openalex.org/W1490992125","doi":"https://doi.org/10.1007/978-3-540-70942-8_55","mag":"1490992125"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-70942-8_55","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70942-8_55","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5050349686","display_name":"R\u00f3bert Horv\u00e1th","orcid":"https://orcid.org/0000-0003-2205-4299"},"institutions":[{"id":"https://openalex.org/I85686399","display_name":"University of Sopron","ror":"https://ror.org/05nj7my03","country_code":"HU","type":"education","lineage":["https://openalex.org/I85686399"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"R\u00f3bert Horv\u00e1th","raw_affiliation_strings":["University of West-Hungary, Erzs\u00e9bet u. 9, 9400 Sopron, Hungary","\u00a7University of West-Hungary Sopron, Hungary"],"affiliations":[{"raw_affiliation_string":"University of West-Hungary, Erzs\u00e9bet u. 9, 9400 Sopron, Hungary","institution_ids":["https://openalex.org/I85686399"]},{"raw_affiliation_string":"\u00a7University of West-Hungary Sopron, Hungary","institution_ids":["https://openalex.org/I85686399"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050349686"],"corresponding_institution_ids":["https://openalex.org/I85686399"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7076,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.85540211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"458","last_page":"465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9904000163078308,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9904000163078308,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.987500011920929,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9858999848365784,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.9209011793136597},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.8677542209625244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7791157960891724},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7090173363685608},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5656511783599854},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.497252494096756},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.46366623044013977},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"Alternating direction implicit method","score":0.4262157082557678},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4245205521583557},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4082111120223999},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.3637810945510864},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11021029949188232},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08741778135299683}],"concepts":[{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.9209011793136597},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.8677542209625244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7791157960891724},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7090173363685608},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5656511783599854},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.497252494096756},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.46366623044013977},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.4262157082557678},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4245205521583557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4082111120223999},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.3637810945510864},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11021029949188232},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08741778135299683},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-70942-8_55","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70942-8_55","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W95984517","https://openalex.org/W431549680","https://openalex.org/W1482836887","https://openalex.org/W1500921805","https://openalex.org/W1966868478","https://openalex.org/W1992547429","https://openalex.org/W2035703170","https://openalex.org/W2066913327","https://openalex.org/W2111377397","https://openalex.org/W2171646565","https://openalex.org/W2299862612","https://openalex.org/W4246149624","https://openalex.org/W4396951526"],"related_works":["https://openalex.org/W2043555141","https://openalex.org/W2170622905","https://openalex.org/W2111259928","https://openalex.org/W2051559783","https://openalex.org/W2088506018","https://openalex.org/W2045921020","https://openalex.org/W4253925511","https://openalex.org/W2114549045","https://openalex.org/W2013958768","https://openalex.org/W2896464776"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}