{"id":"https://openalex.org/W2094714220","doi":"https://doi.org/10.1007/bf02127713","title":"Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles","display_name":"Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2094714220","doi":"https://doi.org/10.1007/bf02127713","mag":"2094714220"},"language":"en","primary_location":{"id":"doi:10.1007/bf02127713","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02127713","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5109897102","display_name":"D.A. Voss","orcid":null},"institutions":[{"id":"https://openalex.org/I117942362","display_name":"Western Illinois University","ror":"https://ror.org/02sshz518","country_code":"US","type":"education","lineage":["https://openalex.org/I117942362"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. A. Voss","raw_affiliation_strings":["Department of Mathematics, Western Illinois University, 1 University Circle, 61455-1390, Macomb, IL, USA","Department of Mathematics, Western Illinois University, Macomb, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Western Illinois University, 1 University Circle, 61455-1390, Macomb, IL, USA","institution_ids":["https://openalex.org/I117942362"]},{"raw_affiliation_string":"Department of Mathematics, Western Illinois University, Macomb, USA","institution_ids":["https://openalex.org/I117942362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013820469","display_name":"A.Q.M. Khaliq","orcid":"https://orcid.org/0000-0002-8140-0545"},"institutions":[{"id":"https://openalex.org/I117942362","display_name":"Western Illinois University","ror":"https://ror.org/02sshz518","country_code":"US","type":"education","lineage":["https://openalex.org/I117942362"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Q. M. Khaliq","raw_affiliation_strings":["Department of Mathematics, Western Illinois University, 1 University Circle, 61455-1390, Macomb, IL, USA","Department of Mathematics, Western Illinois University, Macomb, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Western Illinois University, 1 University Circle, 61455-1390, Macomb, IL, USA","institution_ids":["https://openalex.org/I117942362"]},{"raw_affiliation_string":"Department of Mathematics, Western Illinois University, Macomb, USA","institution_ids":["https://openalex.org/I117942362"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9628,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.76842105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"6","issue":"1","first_page":"353","last_page":"363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8420578241348267},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.7182666063308716},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5726795792579651},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5711138248443604},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5472209453582764},{"id":"https://openalex.org/keywords/exponential-integrator","display_name":"Exponential integrator","score":0.5096709728240967},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.4798811972141266},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.4727367162704468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46875786781311035},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.4687139093875885},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4613513946533203},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.45690006017684937},{"id":"https://openalex.org/keywords/ftcs-scheme","display_name":"FTCS scheme","score":0.453546404838562},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4521482288837433},{"id":"https://openalex.org/keywords/method-of-lines","display_name":"Method of lines","score":0.44878390431404114},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4295230805873871},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.42063748836517334},{"id":"https://openalex.org/keywords/partial-fraction-decomposition","display_name":"Partial fraction decomposition","score":0.41164687275886536},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3686540424823761},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.14565792679786682}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8420578241348267},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.7182666063308716},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5726795792579651},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5711138248443604},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5472209453582764},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.5096709728240967},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.4798811972141266},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.4727367162704468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46875786781311035},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.4687139093875885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4613513946533203},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.45690006017684937},{"id":"https://openalex.org/C74981072","wikidata":"https://www.wikidata.org/wiki/Q5427183","display_name":"FTCS scheme","level":5,"score":0.453546404838562},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4521482288837433},{"id":"https://openalex.org/C136798861","wikidata":"https://www.wikidata.org/wiki/Q1826712","display_name":"Method of lines","level":5,"score":0.44878390431404114},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4295230805873871},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.42063748836517334},{"id":"https://openalex.org/C66103642","wikidata":"https://www.wikidata.org/wiki/Q431617","display_name":"Partial fraction decomposition","level":3,"score":0.41164687275886536},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3686540424823761},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.14565792679786682},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02127713","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02127713","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1974855260","https://openalex.org/W1992155051","https://openalex.org/W2001932838","https://openalex.org/W2003181357","https://openalex.org/W2018356291","https://openalex.org/W2029558805","https://openalex.org/W2032005767","https://openalex.org/W2062672292","https://openalex.org/W2069525762","https://openalex.org/W2080298967","https://openalex.org/W2092797374","https://openalex.org/W2103446321","https://openalex.org/W2587498379","https://openalex.org/W3121554115","https://openalex.org/W4246241682"],"related_works":["https://openalex.org/W3003647143","https://openalex.org/W2000692842","https://openalex.org/W2965074149","https://openalex.org/W4226227544","https://openalex.org/W4310209557","https://openalex.org/W3215390700","https://openalex.org/W2529950123","https://openalex.org/W2049764591","https://openalex.org/W93354010","https://openalex.org/W13104331"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}