{"id":"https://openalex.org/W2110719410","doi":"https://doi.org/10.1007/s11075-012-9620-8","title":"A spectral method for parabolic differential equations","display_name":"A spectral method for parabolic differential equations","publication_year":2012,"publication_date":"2012-07-26","ids":{"openalex":"https://openalex.org/W2110719410","doi":"https://doi.org/10.1007/s11075-012-9620-8","mag":"2110719410"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9620-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9620-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5066323735","display_name":"Kendall Atkinson","orcid":"https://orcid.org/0000-0002-5727-7030"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kendall Atkinson","raw_affiliation_strings":["Departments of Mathematics & Computer Science, The University of Iowa, Iowa City, IA, USA","Departments of Mathematics & Computer Science, The University of Iowa, Iowa City, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics & Computer Science, The University of Iowa, Iowa City, IA, USA","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"Departments of Mathematics & Computer Science, The University of Iowa, Iowa City, USA#TAB#","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070710431","display_name":"Olaf Hansen","orcid":null},"institutions":[{"id":"https://openalex.org/I226560621","display_name":"California State University, San Marcos","ror":"https://ror.org/01j8e0j24","country_code":"US","type":"education","lineage":["https://openalex.org/I226560621"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olaf Hansen","raw_affiliation_strings":["Department of Mathematics, California State University - San Marcos, San Marcos, CA, USA","Department of Mathematics, California State University - San Marcos, San Marcos, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University - San Marcos, San Marcos, CA, USA","institution_ids":["https://openalex.org/I226560621"]},{"raw_affiliation_string":"Department of Mathematics, California State University - San Marcos, San Marcos, USA","institution_ids":["https://openalex.org/I226560621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020255121","display_name":"David Chien","orcid":"https://orcid.org/0000-0002-1930-0754"},"institutions":[{"id":"https://openalex.org/I226560621","display_name":"California State University, San Marcos","ror":"https://ror.org/01j8e0j24","country_code":"US","type":"education","lineage":["https://openalex.org/I226560621"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Chien","raw_affiliation_strings":["Department of Mathematics, California State University - San Marcos, San Marcos, CA, USA","Department of Mathematics, California State University - San Marcos, San Marcos, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University - San Marcos, San Marcos, CA, USA","institution_ids":["https://openalex.org/I226560621"]},{"raw_affiliation_string":"Department of Mathematics, California State University - San Marcos, San Marcos, USA","institution_ids":["https://openalex.org/I226560621"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066323735"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6959,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73234691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"63","issue":"2","first_page":"213","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9976000189781189,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8833870887756348},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.7034368515014648},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5586084723472595},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5513623952865601},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5431714057922363},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.5351866483688354},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5255441069602966},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49890780448913574},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.49316853284835815},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4556901156902313},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.41872337460517883}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8833870887756348},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.7034368515014648},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5586084723472595},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5513623952865601},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5431714057922363},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.5351866483688354},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5255441069602966},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49890780448913574},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49316853284835815},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4556901156902313},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.41872337460517883},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-012-9620-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9620-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":43,"referenced_works":["https://openalex.org/W73413994","https://openalex.org/W106404678","https://openalex.org/W167165788","https://openalex.org/W640428934","https://openalex.org/W1535035979","https://openalex.org/W1543326485","https://openalex.org/W1547403762","https://openalex.org/W1587859748","https://openalex.org/W1593505867","https://openalex.org/W1679927639","https://openalex.org/W1805381866","https://openalex.org/W1912930600","https://openalex.org/W1971622337","https://openalex.org/W2010165577","https://openalex.org/W2012144921","https://openalex.org/W2031567600","https://openalex.org/W2042161972","https://openalex.org/W2060170348","https://openalex.org/W2078197553","https://openalex.org/W2120062331","https://openalex.org/W2130010995","https://openalex.org/W2138008062","https://openalex.org/W2141202287","https://openalex.org/W2156527745","https://openalex.org/W2227711184","https://openalex.org/W2334290044","https://openalex.org/W2512807334","https://openalex.org/W2582171088","https://openalex.org/W2986587829","https://openalex.org/W2997123088","https://openalex.org/W3038138814","https://openalex.org/W3038165843","https://openalex.org/W3105397836","https://openalex.org/W3150423993","https://openalex.org/W4213277687","https://openalex.org/W4230199773","https://openalex.org/W4232082450","https://openalex.org/W4247375400","https://openalex.org/W4253937035","https://openalex.org/W4285719527","https://openalex.org/W4298060601","https://openalex.org/W4300846967","https://openalex.org/W4301859080"],"related_works":["https://openalex.org/W1967450583","https://openalex.org/W2066764747","https://openalex.org/W2385175414","https://openalex.org/W2083817219","https://openalex.org/W2264582182","https://openalex.org/W4389325770","https://openalex.org/W3047860677","https://openalex.org/W1850237974","https://openalex.org/W2969693569","https://openalex.org/W2343093002"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}