{"id":"https://openalex.org/W2042084825","doi":"https://doi.org/10.1007/s11075-012-9625-3","title":"Review of inverse Laplace transform algorithms for Laplace-space numerical approaches","display_name":"Review of inverse Laplace transform algorithms for Laplace-space numerical approaches","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W2042084825","doi":"https://doi.org/10.1007/s11075-012-9625-3","mag":"2042084825"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9625-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9625-3","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1204.4754","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090056442","display_name":"Kristopher Kuhlman","orcid":"https://orcid.org/0000-0003-3397-3653"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kristopher L. Kuhlman","raw_affiliation_strings":["Repository Performance Department, Sandia National Laboratories, 4100 National Parks Highway, Carlsbad, New Mexico, USA","Repository Performance Department, Sandia National Laboratories, Carlsbad, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Repository Performance Department, Sandia National Laboratories, 4100 National Parks Highway, Carlsbad, New Mexico, USA","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"Repository Performance Department, Sandia National Laboratories, Carlsbad, USA","institution_ids":["https://openalex.org/I192454743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090056442"],"corresponding_institution_ids":["https://openalex.org/I192454743","https://openalex.org/I4210104735"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.7057,"has_fulltext":false,"cited_by_count":195,"citation_normalized_percentile":{"value":0.97658604,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"63","issue":"2","first_page":"339","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9980999827384949,"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":0.9980999827384949,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10716","display_name":"Soil and Unsaturated Flow","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.8497250080108643},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"Inverse Laplace transform","score":0.8425853252410889},{"id":"https://openalex.org/keywords/laplace-transform-applied-to-differential-equations","display_name":"Laplace transform applied to differential equations","score":0.8276557326316833},{"id":"https://openalex.org/keywords/two-sided-laplace-transform","display_name":"Two-sided Laplace transform","score":0.7727564573287964},{"id":"https://openalex.org/keywords/greens-function-for-the-three-variable-laplace-equation","display_name":"Green's function for the three-variable Laplace equation","score":0.6911967992782593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.666689395904541},{"id":"https://openalex.org/keywords/mellin-transform","display_name":"Mellin transform","score":0.6392026543617249},{"id":"https://openalex.org/keywords/laplace\u2013stieltjes-transform","display_name":"Laplace\u2013Stieltjes transform","score":0.622327983379364},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.47797462344169617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47434723377227783},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46036919951438904},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.42494791746139526},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.3986252248287201},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3582272231578827},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3288112282752991},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.1241617202758789},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.10971999168395996}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.8497250080108643},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.8425853252410889},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.8276557326316833},{"id":"https://openalex.org/C10288518","wikidata":"https://www.wikidata.org/wiki/Q1785576","display_name":"Two-sided Laplace transform","level":5,"score":0.7727564573287964},{"id":"https://openalex.org/C208067445","wikidata":"https://www.wikidata.org/wiki/Q5602166","display_name":"Green's function for the three-variable Laplace equation","level":4,"score":0.6911967992782593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.666689395904541},{"id":"https://openalex.org/C199874217","wikidata":"https://www.wikidata.org/wiki/Q606934","display_name":"Mellin transform","level":3,"score":0.6392026543617249},{"id":"https://openalex.org/C141255357","wikidata":"https://www.wikidata.org/wiki/Q3997728","display_name":"Laplace\u2013Stieltjes transform","level":5,"score":0.622327983379364},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.47797462344169617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47434723377227783},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46036919951438904},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.42494791746139526},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3986252248287201},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3582272231578827},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3288112282752991},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.1241617202758789},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.10971999168395996}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11075-012-9625-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9625-3","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"},{"id":"pmh:oai:arXiv.org:1204.4754","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1204.4754","pdf_url":"https://arxiv.org/pdf/1204.4754","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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:CiteSeerX.psu:10.1.1.747.8225","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.8225","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1204.4754.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1204.4754","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1204.4754","pdf_url":"https://arxiv.org/pdf/1204.4754","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W2567833","https://openalex.org/W196627109","https://openalex.org/W619417110","https://openalex.org/W1506068831","https://openalex.org/W1515416301","https://openalex.org/W1520949239","https://openalex.org/W1539537062","https://openalex.org/W1561632747","https://openalex.org/W1576284893","https://openalex.org/W1597261291","https://openalex.org/W1871270088","https://openalex.org/W1964422911","https://openalex.org/W1966688129","https://openalex.org/W1968614732","https://openalex.org/W1973344191","https://openalex.org/W1979903405","https://openalex.org/W1985467009","https://openalex.org/W2000094165","https://openalex.org/W2003390220","https://openalex.org/W2005669138","https://openalex.org/W2012461271","https://openalex.org/W2023558112","https://openalex.org/W2030092399","https://openalex.org/W2032015208","https://openalex.org/W2057342974","https://openalex.org/W2083551778","https://openalex.org/W2088074474","https://openalex.org/W2091227064","https://openalex.org/W2110114082","https://openalex.org/W2135094424","https://openalex.org/W2159081382","https://openalex.org/W2162574333","https://openalex.org/W2163537153","https://openalex.org/W2322278690","https://openalex.org/W2490615762","https://openalex.org/W2798788284","https://openalex.org/W4298380500","https://openalex.org/W4301417648","https://openalex.org/W4392282447"],"related_works":["https://openalex.org/W3022275705","https://openalex.org/W4389482554","https://openalex.org/W4283576291","https://openalex.org/W4239388564","https://openalex.org/W3166878184","https://openalex.org/W4213365297","https://openalex.org/W3126199408","https://openalex.org/W3021788336","https://openalex.org/W2484425659","https://openalex.org/W4317927752"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":13},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-15T08:27:34.491423","created_date":"2025-10-10T00:00:00"}
