{"id":"https://openalex.org/W2578151728","doi":"https://doi.org/10.1007/s11075-017-0364-3","title":"Pipeline implementations of Neumann\u2013Neumann and Dirichlet\u2013Neumann waveform relaxation methods","display_name":"Pipeline implementations of Neumann\u2013Neumann and Dirichlet\u2013Neumann waveform relaxation methods","publication_year":2017,"publication_date":"2017-06-29","ids":{"openalex":"https://openalex.org/W2578151728","doi":"https://doi.org/10.1007/s11075-017-0364-3","mag":"2578151728"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-017-0364-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0364-3","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1605.08503","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080529726","display_name":"Benjamin Ong","orcid":"https://orcid.org/0000-0002-2315-987X"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Benjamin W. Ong","raw_affiliation_strings":["Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA","Mathematical Sciences, Michigan Technological University, Houghton, USA"],"raw_orcid":"https://orcid.org/0000-0002-2315-987X","affiliations":[{"raw_affiliation_string":"Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA","institution_ids":["https://openalex.org/I11957088"]},{"raw_affiliation_string":"Mathematical Sciences, Michigan Technological University, Houghton, USA","institution_ids":["https://openalex.org/I11957088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019592961","display_name":"Bankim C. Mandal","orcid":null},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bankim C. Mandal","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA","Department of Mathematics, Michigan State University, East Lansing, (USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, (USA)","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080529726"],"corresponding_institution_ids":["https://openalex.org/I11957088"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01072514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"78","issue":"1","first_page":"1","last_page":"20"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.991100013256073,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.7317062616348267},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.7292317748069763},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.6089381575584412},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5751972794532776},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49496954679489136},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.47972384095191956},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.4692010283470154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4110938012599945},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38169369101524353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37540119886398315},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3026496469974518},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26193633675575256},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.12083825469017029},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11429405212402344},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07949283719062805}],"concepts":[{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.7317062616348267},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.7292317748069763},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.6089381575584412},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5751972794532776},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49496954679489136},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.47972384095191956},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.4692010283470154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4110938012599945},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38169369101524353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37540119886398315},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3026496469974518},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26193633675575256},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.12083825469017029},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11429405212402344},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07949283719062805},{"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11075-017-0364-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0364-3","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:1605.08503","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1605.08503","pdf_url":"https://arxiv.org/pdf/1605.08503","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"mag:2578151728","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1605.08503.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:digitalcommons.mtu.edu:michigantech-p-1945","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p/948","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications, Part 1","raw_type":"text"},{"id":"doi:10.48550/arxiv.1605.08503","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1605.08503","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1605.08503","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1605.08503","pdf_url":"https://arxiv.org/pdf/1605.08503","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"score":0.4099999964237213,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[{"id":"https://openalex.org/G6778350887","display_name":"XSEDE: eXtreme Science and Engineering Discovery Environment","funder_award_id":"1053575","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2578151728.pdf","grobid_xml":"https://content.openalex.org/works/W2578151728.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W207454351","https://openalex.org/W748580861","https://openalex.org/W873307394","https://openalex.org/W1548589512","https://openalex.org/W1965273420","https://openalex.org/W1973573732","https://openalex.org/W1991672498","https://openalex.org/W1998789711","https://openalex.org/W2007510482","https://openalex.org/W2025377524","https://openalex.org/W2036597275","https://openalex.org/W2049374408","https://openalex.org/W2051588145","https://openalex.org/W2065205849","https://openalex.org/W2153118166","https://openalex.org/W2266202293","https://openalex.org/W2503042635","https://openalex.org/W2963404343","https://openalex.org/W3198386876","https://openalex.org/W3200125714","https://openalex.org/W6632144222"],"related_works":["https://openalex.org/W172750152","https://openalex.org/W1992110290","https://openalex.org/W2088232737","https://openalex.org/W1990137582","https://openalex.org/W2286885116","https://openalex.org/W96749757","https://openalex.org/W2409120286","https://openalex.org/W56088985","https://openalex.org/W2112930934","https://openalex.org/W3138829033","https://openalex.org/W2102802671","https://openalex.org/W2037060668","https://openalex.org/W2378739988","https://openalex.org/W145125487","https://openalex.org/W14511684","https://openalex.org/W2091932536","https://openalex.org/W125806465","https://openalex.org/W2810714999","https://openalex.org/W2052638266","https://openalex.org/W1999697508"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}