{"id":"https://openalex.org/W2047808645","doi":"https://doi.org/10.1137/050629653","title":"A Spectral Order Method for Inverting Sectorial Laplace Transforms","display_name":"A Spectral Order Method for Inverting Sectorial Laplace Transforms","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2047808645","doi":"https://doi.org/10.1137/050629653","mag":"2047808645"},"language":"en","primary_location":{"id":"doi:10.1137/050629653","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050629653","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0504428","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101574005","display_name":"Ma\u0155\u0131a L\u00f3pez-Fern\u00e1ndez","orcid":"https://orcid.org/0000-0003-3951-7296"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mar\u00eda L\u00f3pez-Fern\u00e1ndez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108431301","display_name":"C\u00e9sar Palencia","orcid":"https://orcid.org/0000-0002-3081-0077"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C\u00e9sar Palencia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030446976","display_name":"Achim Sch\u00e4dle","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Achim Sch\u00e4dle","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.8006,"has_fulltext":true,"cited_by_count":105,"citation_normalized_percentile":{"value":0.97011208,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"44","issue":"3","first_page":"1332","last_page":"1350"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9976000189781189,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9976000189781189,"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/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.8201733827590942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8030189275741577},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.7722103595733643},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.539118766784668},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5251678824424744},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5027980804443359},{"id":"https://openalex.org/keywords/holomorphic-function","display_name":"Holomorphic function","score":0.49959492683410645},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4893290400505066},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.44986605644226074},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44568079710006714},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.4112861156463623},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2417338490486145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08878207206726074},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.06201416254043579}],"concepts":[{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.8201733827590942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8030189275741577},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7722103595733643},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.539118766784668},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5251678824424744},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5027980804443359},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.49959492683410645},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4893290400505066},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.44986605644226074},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44568079710006714},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.4112861156463623},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2417338490486145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08878207206726074},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.06201416254043579},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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":4,"locations":[{"id":"doi:10.1137/050629653","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050629653","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0504428","is_oa":true,"landing_page_url":"https://arxiv.org/abs/math/0504428","pdf_url":"https://arxiv.org/pdf/math/0504428","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-013153035","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:iris.uniroma1.it:11573/843865","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/843865","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math/0504428","is_oa":true,"landing_page_url":"https://arxiv.org/abs/math/0504428","pdf_url":"https://arxiv.org/pdf/math/0504428","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2047808645.pdf","grobid_xml":"https://content.openalex.org/works/W2047808645.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1983001687","https://openalex.org/W1984613947","https://openalex.org/W1986700039","https://openalex.org/W1998665522","https://openalex.org/W2011326283","https://openalex.org/W2030565709","https://openalex.org/W2035766380","https://openalex.org/W2039099273","https://openalex.org/W2045232413","https://openalex.org/W2046976085","https://openalex.org/W2049473070","https://openalex.org/W2055776262","https://openalex.org/W2070279765","https://openalex.org/W2084423306","https://openalex.org/W2088960718","https://openalex.org/W2093846329","https://openalex.org/W2096898191","https://openalex.org/W2123426570","https://openalex.org/W2125227367","https://openalex.org/W2130994331","https://openalex.org/W2135094424","https://openalex.org/W2787959293","https://openalex.org/W3102939129","https://openalex.org/W4255769871"],"related_works":["https://openalex.org/W1967105803","https://openalex.org/W2089223129","https://openalex.org/W1942193365","https://openalex.org/W4297824836","https://openalex.org/W1984530900","https://openalex.org/W4245391187","https://openalex.org/W2752316090","https://openalex.org/W1908937011","https://openalex.org/W2039482820","https://openalex.org/W163133428"],"abstract_inverted_index":{"Laplace":[0],"transforms":[1],"which":[2],"admit":[3],"a":[4,18],"holomorphic":[5],"extension":[6],"to":[7],"some":[8],"sector":[9],"strictly":[10],"containing":[11],"the":[12,39,43,47],"right":[13],"half":[14],"plane":[15],"and":[16],"exhibiting":[17],"potential":[19],"behavior":[20],"are":[21,52],"considered.":[22],"A":[23],"spectral":[24],"order,":[25],"parallelizable":[26],"method":[27,35],"for":[28],"their":[29],"numerical":[30,50],"inversion":[31],"is":[32],"proposed.":[33],"The":[34],"takes":[36],"into":[37],"account":[38],"available":[40],"information":[41],"about":[42],"errors":[44],"arising":[45],"in":[46],"evaluations.":[48],"Several":[49],"illustrations":[51],"provided.":[53]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}