{"id":"https://openalex.org/W2519760108","doi":"https://doi.org/10.1007/978-3-319-40528-5_23","title":"Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations","display_name":"Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2519760108","doi":"https://doi.org/10.1007/978-3-319-40528-5_23","mag":"2519760108"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-40528-5_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-40528-5_23","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5110328419","display_name":"Lars Grasedyck","orcid":"https://orcid.org/0000-0001-7572-2604"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lars Grasedyck","raw_affiliation_strings":["IGPM, RWTH Aachen, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"IGPM, RWTH Aachen, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085448587","display_name":"Christian L\u00f6bbert","orcid":"https://orcid.org/0000-0001-8662-6669"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian L\u00f6bbert","raw_affiliation_strings":["IGPM, RWTH Aachen, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"IGPM, RWTH Aachen, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036489735","display_name":"Gabriel Wittum","orcid":"https://orcid.org/0000-0002-6993-5520"},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gabriel Wittum","raw_affiliation_strings":["G-CSC, University of Frankfurt, Frankfurt, Germany"],"affiliations":[{"raw_affiliation_string":"G-CSC, University of Frankfurt, Frankfurt, Germany","institution_ids":["https://openalex.org/I114090438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059466969","display_name":"Arne N\u00e4gel","orcid":"https://orcid.org/0000-0003-0015-4379"},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Arne N\u00e4gel","raw_affiliation_strings":["G-CSC, University of Frankfurt, Frankfurt, Germany"],"affiliations":[{"raw_affiliation_string":"G-CSC, University of Frankfurt, Frankfurt, Germany","institution_ids":["https://openalex.org/I114090438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020947690","display_name":"Volker Schulz","orcid":"https://orcid.org/0000-0001-7665-130X"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Volker Schulz","raw_affiliation_strings":["University of Trier, Trier, Germany"],"affiliations":[{"raw_affiliation_string":"University of Trier, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083491377","display_name":"Martin Siebenborn","orcid":"https://orcid.org/0000-0001-5716-5680"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Siebenborn","raw_affiliation_strings":["University of Trier, Trier, Germany"],"affiliations":[{"raw_affiliation_string":"University of Trier, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052850078","display_name":"Rolf Krause","orcid":"https://orcid.org/0000-0001-5408-5271"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rolf Krause","raw_affiliation_strings":["ICS, University of Lugano, Lugano, Germany"],"affiliations":[{"raw_affiliation_string":"ICS, University of Lugano, Lugano, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002362942","display_name":"Pietro Benedusi","orcid":"https://orcid.org/0000-0001-7799-5999"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pietro Benedusi","raw_affiliation_strings":["ICS, University of Lugano, Lugano, Germany"],"affiliations":[{"raw_affiliation_string":"ICS, University of Lugano, Lugano, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027916042","display_name":"Uwe K\u00fcster","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe K\u00fcster","raw_affiliation_strings":["HLRS, University of Stuttgart, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"HLRS, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029485470","display_name":"Bj\u00f6rn Dick","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bj\u00f6rn Dick","raw_affiliation_strings":["HLRS, University of Stuttgart, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"HLRS, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5110328419"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":1.3043,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79591837,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"507","last_page":"523"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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":0.9951000213623047,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.8824996948242188},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7288572788238525},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.6555496454238892},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6127686500549316},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.5647432208061218},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4941084682941437},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.44944384694099426},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.43218743801116943},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4303544759750366},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.41173624992370605},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3864170014858246},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3387945890426636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32626873254776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2594153881072998},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.22336483001708984},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0910024344921112},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08975306153297424},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07618370652198792}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8824996948242188},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7288572788238525},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.6555496454238892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6127686500549316},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.5647432208061218},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4941084682941437},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.44944384694099426},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.43218743801116943},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4303544759750366},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.41173624992370605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3864170014858246},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3387945890426636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32626873254776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2594153881072998},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.22336483001708984},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0910024344921112},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08975306153297424},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07618370652198792},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-40528-5_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-40528-5_23","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7900000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W261714213","https://openalex.org/W1198646705","https://openalex.org/W1479627982","https://openalex.org/W1626653188","https://openalex.org/W1652501265","https://openalex.org/W1690316246","https://openalex.org/W1710910916","https://openalex.org/W1820706094","https://openalex.org/W1975274912","https://openalex.org/W1990282941","https://openalex.org/W1991531168","https://openalex.org/W2006999948","https://openalex.org/W2009343317","https://openalex.org/W2010029887","https://openalex.org/W2021243702","https://openalex.org/W2022090406","https://openalex.org/W2038198231","https://openalex.org/W2061170466","https://openalex.org/W2065037713","https://openalex.org/W2075790524","https://openalex.org/W2088025933","https://openalex.org/W2133854101","https://openalex.org/W2146882247","https://openalex.org/W2160791191","https://openalex.org/W2191447193","https://openalex.org/W2222576750","https://openalex.org/W2551110661","https://openalex.org/W2551345180","https://openalex.org/W3102123643","https://openalex.org/W3103454330","https://openalex.org/W6610128654"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2625595466","https://openalex.org/W2573021234","https://openalex.org/W2106610492","https://openalex.org/W4311864889"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
