{"id":"https://openalex.org/W4393822376","doi":"https://doi.org/10.1007/s11075-024-01902-z","title":"Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method","display_name":"Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method","publication_year":2024,"publication_date":"2024-08-08","ids":{"openalex":"https://openalex.org/W4393822376","doi":"https://doi.org/10.1007/s11075-024-01902-z"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01902-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01902-z","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/2404.01594","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011409848","display_name":"Erik Burman","orcid":"https://orcid.org/0000-0003-4287-7241"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Erik Burman","raw_affiliation_strings":["Department of Mathematics, University College London, UK-WC1E 6BT, London, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, UK-WC1E 6BT, London, United Kingdom","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064392868","display_name":"R. Durst","orcid":"https://orcid.org/0000-0001-9777-7171"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rebecca Durst","raw_affiliation_strings":["Department of Mathematics, University of Pittsburgh, 15261, Pittsburgh, Pennsylvania, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pittsburgh, 15261, Pittsburgh, Pennsylvania, USA","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086850272","display_name":"Miguel Fern\u00e1ndez P\u00e9rez","orcid":"https://orcid.org/0000-0003-0949-2104"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Miguel A. Fern\u00e1ndez","raw_affiliation_strings":["Inria, 75012, Paris, France","Sorbonne Universit\u00e9 & CNRS, UMR 7598 LJLL, 75005, Paris, France"],"affiliations":[{"raw_affiliation_string":"Inria, 75012, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9 & CNRS, UMR 7598 LJLL, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036599010","display_name":"Johnny Guzm\u00e1n","orcid":"https://orcid.org/0000-0002-6769-2393"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Johnny Guzm\u00e1n","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, 182 George Street, 02912, Providence, RI, USA"],"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, 182 George Street, 02912, Providence, RI, USA","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015861344","display_name":"Sijing Liu","orcid":"https://orcid.org/0000-0001-6051-4482"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sijing Liu","raw_affiliation_strings":["The Institute for Computational and Experimental Research in Mathematics, Brown University, 121 South Main Street, 02912, Providence, RI, USA"],"affiliations":[{"raw_affiliation_string":"The Institute for Computational and Experimental Research in Mathematics, Brown University, 121 South Main Street, 02912, Providence, RI, USA","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5015861344"],"corresponding_institution_ids":["https://openalex.org/I27804330"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7427,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63118494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"99","issue":"2","first_page":"921","last_page":"948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9977999925613403,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematics","display_name":"Mathematics","score":0.778960108757019},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5699113011360168},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.567247748374939},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.544464111328125},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.53682941198349},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5238059759140015},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48525285720825195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46450018882751465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3289355933666229},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26624810695648193},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.14225050806999207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12571066617965698},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.05641785264015198}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.778960108757019},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5699113011360168},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.567247748374939},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.544464111328125},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.53682941198349},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5238059759140015},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48525285720825195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46450018882751465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3289355933666229},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26624810695648193},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.14225050806999207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12571066617965698},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.05641785264015198},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11075-024-01902-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01902-z","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:2404.01594","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.01594","pdf_url":"https://arxiv.org/pdf/2404.01594","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:HAL:hal-04530917v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04530917","pdf_url":"https://hal.science/hal-04530917/document","source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerical Algorithms, 2024, ⟨10.1007/s11075-024-01902-z⟩","raw_type":"Journal articles"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10196113","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10196113/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerical Algorithms , 99    pp. 921-948.   (2025)","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2404.01594","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.01594","pdf_url":"https://arxiv.org/pdf/2404.01594","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":[{"id":"https://openalex.org/G1215260848","display_name":"Computational methods for multiphysics interface problems","funder_award_id":"EP/J002313/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1287316037","display_name":null,"funder_award_id":"1929284","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1705107144","display_name":"Integrated Simulation at the Exascale: coupling, synthesis and performance","funder_award_id":"EP/W007460/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1854514880","display_name":null,"funder_award_id":"DMS-192928","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3330119427","display_name":null,"funder_award_id":"EPSRC","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7375596611","display_name":null,"funder_award_id":"DMS-1929284","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7743258531","display_name":null,"funder_award_id":"EP/J002313/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4393822376.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1550896757","https://openalex.org/W1988235001","https://openalex.org/W1988512897","https://openalex.org/W1989997498","https://openalex.org/W2010895452","https://openalex.org/W2083689274","https://openalex.org/W2105265280","https://openalex.org/W2146955523","https://openalex.org/W2148835848","https://openalex.org/W2594502351","https://openalex.org/W2736676313","https://openalex.org/W2768535780","https://openalex.org/W2966715665","https://openalex.org/W2998592361","https://openalex.org/W3041357292","https://openalex.org/W3053742964","https://openalex.org/W3123123030","https://openalex.org/W3164142552","https://openalex.org/W3168782534","https://openalex.org/W3184160957","https://openalex.org/W3201156248","https://openalex.org/W3207547626","https://openalex.org/W4206974205","https://openalex.org/W4318407381","https://openalex.org/W4324372282","https://openalex.org/W4382678603","https://openalex.org/W4393822479"],"related_works":["https://openalex.org/W2064563243","https://openalex.org/W4250775169","https://openalex.org/W4309231192","https://openalex.org/W3165104833","https://openalex.org/W2595158997","https://openalex.org/W2071749707","https://openalex.org/W2753425608","https://openalex.org/W2039023896","https://openalex.org/W4300829922","https://openalex.org/W4242133222"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}