{"id":"https://openalex.org/W4403842829","doi":"https://doi.org/10.1007/s11075-024-01964-z","title":"Adaptive time step selection for spectral deferred correction","display_name":"Adaptive time step selection for spectral deferred correction","publication_year":2024,"publication_date":"2024-10-28","ids":{"openalex":"https://openalex.org/W4403842829","doi":"https://doi.org/10.1007/s11075-024-01964-z"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01964-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01964-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01964-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01964-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110855544","display_name":"Thomas W. Baumann","orcid":"https://orcid.org/0000-0002-4676-7659"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Saupe","raw_affiliation_strings":["J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, Wilhelm-Johnen-Stra\u00dfe, J\u00fclich, 52428, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4676-7659","affiliations":[{"raw_affiliation_string":"J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, Wilhelm-Johnen-Stra\u00dfe, J\u00fclich, 52428, Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078218788","display_name":"Sebastian G\u00f6tschel","orcid":"https://orcid.org/0000-0003-0287-2120"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian G\u00f6tschel","raw_affiliation_strings":["Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Hamburg, Germany","Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Am Schwarzenberg-Campus 3, Hamburg, 21073, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0287-2120","affiliations":[{"raw_affiliation_string":"Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]},{"raw_affiliation_string":"Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Am Schwarzenberg-Campus 3, Hamburg, 21073, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024464540","display_name":"Thibaut Lunet","orcid":"https://orcid.org/0000-0003-1745-0780"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thibaut Lunet","raw_affiliation_strings":["Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Hamburg, Germany","Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Am Schwarzenberg-Campus 3, Hamburg, 21073, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1745-0780","affiliations":[{"raw_affiliation_string":"Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]},{"raw_affiliation_string":"Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Am Schwarzenberg-Campus 3, Hamburg, 21073, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045955358","display_name":"Daniel Ruprecht","orcid":"https://orcid.org/0000-0003-1904-2473"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Ruprecht","raw_affiliation_strings":["Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Hamburg, Germany","Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Am Schwarzenberg-Campus 3, Hamburg, 21073, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1904-2473","affiliations":[{"raw_affiliation_string":"Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]},{"raw_affiliation_string":"Chair Computational Mathematics, Institute of Mathematics, Hamburg University of Technology, Am Schwarzenberg-Campus 3, Hamburg, 21073, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050012491","display_name":"Robert Speck","orcid":"https://orcid.org/0000-0002-3879-1210"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Speck","raw_affiliation_strings":["J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, J\u00fclich, Germany","J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, Wilhelm-Johnen-Stra\u00dfe, J\u00fclich, 52428, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3879-1210","affiliations":[{"raw_affiliation_string":"J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, J\u00fclich, Germany","institution_ids":["https://openalex.org/I171892758"]},{"raw_affiliation_string":"J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, Wilhelm-Johnen-Stra\u00dfe, J\u00fclich, 52428, Germany","institution_ids":["https://openalex.org/I171892758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27432517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"100","issue":"1","first_page":"369","last_page":"393"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9939000010490417,"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":0.9939000010490417,"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/theory-of-computation","display_name":"Theory of computation","score":0.7446864247322083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6876142024993896},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.595568835735321},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4308452904224396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40934714674949646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4085850715637207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39799371361732483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22272226214408875},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10382512211799622}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7446864247322083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6876142024993896},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.595568835735321},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4308452904224396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40934714674949646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4085850715637207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39799371361732483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22272226214408875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10382512211799622},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-024-01964-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01964-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01964-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11075-024-01964-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01964-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01964-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2236478115","display_name":null,"funder_award_id":"16HPC048","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403842829.pdf","grobid_xml":"https://content.openalex.org/works/W4403842829.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1479627982","https://openalex.org/W1515320675","https://openalex.org/W1582828056","https://openalex.org/W1970213140","https://openalex.org/W1976906776","https://openalex.org/W1981115560","https://openalex.org/W1991531168","https://openalex.org/W1995504856","https://openalex.org/W2019216685","https://openalex.org/W2021574582","https://openalex.org/W2029626973","https://openalex.org/W2031440284","https://openalex.org/W2047496230","https://openalex.org/W2059318397","https://openalex.org/W2069634719","https://openalex.org/W2070595246","https://openalex.org/W2113664582","https://openalex.org/W2116055501","https://openalex.org/W2117453669","https://openalex.org/W2119634195","https://openalex.org/W2138379775","https://openalex.org/W2139494815","https://openalex.org/W2144144709","https://openalex.org/W2148073067","https://openalex.org/W2155580296","https://openalex.org/W2161077841","https://openalex.org/W2293922163","https://openalex.org/W2461259506","https://openalex.org/W2505406546","https://openalex.org/W2568744929","https://openalex.org/W2601314678","https://openalex.org/W2630478408","https://openalex.org/W2734683741","https://openalex.org/W2791760620","https://openalex.org/W2899139000","https://openalex.org/W2913992843","https://openalex.org/W2968537402","https://openalex.org/W3003257820","https://openalex.org/W3011630162","https://openalex.org/W3015203719","https://openalex.org/W3035273220","https://openalex.org/W3088662677","https://openalex.org/W3100511478","https://openalex.org/W3101368875","https://openalex.org/W3102221575","https://openalex.org/W3165776291","https://openalex.org/W3209298295","https://openalex.org/W3211005407","https://openalex.org/W4255754126","https://openalex.org/W4312420642","https://openalex.org/W4317530433","https://openalex.org/W4321764718","https://openalex.org/W4386930657","https://openalex.org/W4388685385","https://openalex.org/W4407378565"],"related_works":["https://openalex.org/W4205762803","https://openalex.org/W2535856026","https://openalex.org/W2265065644","https://openalex.org/W2064563243","https://openalex.org/W1973641256","https://openalex.org/W4250775169","https://openalex.org/W2134699697","https://openalex.org/W3017188156","https://openalex.org/W2322875716","https://openalex.org/W4309231192"],"abstract_inverted_index":{"Abstract":[0],"Spectral":[1],"Deferred":[2],"Correction":[3],"(SDC)":[4],"is":[5],"an":[6,25],"iterative":[7],"method":[8],"for":[9,24,34,46,69],"the":[10,21,35,48,88],"numerical":[11,22],"solution":[12,23],"of":[13,80,87],"ordinary":[14],"differential":[15,32],"equations.":[16],"It":[17],"works":[18],"by":[19,29],"refining":[20],"initial":[26],"value":[27],"problem":[28,99],"approximately":[30],"solving":[31,47],"equations":[33],"error,":[36],"and":[37,75,94,115],"can":[38],"be":[39],"interpreted":[40],"as":[41],"a":[42,67,104],"preconditioned":[43],"fixed-point":[44],"iteration":[45],"fully":[49],"implicit":[50],"collocation":[51],"problem.":[52],"We":[53,82,102],"adopt":[54],"techniques":[55],"from":[56],"embedded":[57],"Runge-Kutta":[58],"Methods":[59],"(RKM)":[60],"to":[61,65],"SDC":[62,110],"in":[63,106],"order":[64],"provide":[66],"mechanism":[68],"adaptive":[70,121],"time":[71],"step":[72,113],"size":[73,114],"selection":[74],"thus":[76],"increase":[77],"computational":[78],"efficiency":[79,107,117],"SDC.":[81],"propose":[83],"two":[84],"SDC-specific":[85],"estimates":[86],"local":[89],"error":[90],"that":[91],"are":[92],"generic":[93],"do":[95],"not":[96],"rely":[97],"on":[98],"specific":[100],"quantities.":[101],"demonstrate":[103],"gain":[105],"over":[108],"standard":[109],"with":[111],"fixed":[112],"compare":[116],"favorably":[118],"against":[119],"state-of-the-art":[120],"RKM.":[122]},"counts_by_year":[],"updated_date":"2026-06-17T06:14:20.161405","created_date":"2024-10-29T00:00:00"}
