{"id":"https://openalex.org/W4400823994","doi":"https://doi.org/10.1007/s10444-024-10166-z","title":"Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction","display_name":"Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction","publication_year":2024,"publication_date":"2024-07-19","ids":{"openalex":"https://openalex.org/W4400823994","doi":"https://doi.org/10.1007/s10444-024-10166-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-024-10166-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10166-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10166-z.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/s10444-024-10166-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057524306","display_name":"Quirin Aumann","orcid":"https://orcid.org/0000-0001-7942-5703"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Quirin Aumann","raw_affiliation_strings":["Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstr. 1, 39106, Magdeburg, Germany"],"raw_orcid":"https://orcid.org/0000-0001-7942-5703","affiliations":[{"raw_affiliation_string":"Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstr. 1, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063059604","display_name":"Steffen W. R. Werner","orcid":"https://orcid.org/0000-0003-1667-4862"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steffen W. R. Werner","raw_affiliation_strings":["Department of Mathematics and Division of Computational Modeling and Data Analytics, Academy of Data Science, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Division of Computational Modeling and Data Analytics, Academy of Data Science, Virginia Tech, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057524306"],"corresponding_institution_ids":["https://openalex.org/I4210127568"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.5162,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6233578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"50","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"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/T12495","display_name":"Electrostatic Discharge in Electronics","score":0.9855999946594238,"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/T12810","display_name":"Real-time simulation and control systems","score":0.978600025177002,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7732058167457581},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6126568913459778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5658095479011536},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.5331028699874878},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5147624015808105},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.4983255863189697},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4859672784805298},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4623611569404602},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.4112704396247864},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.41016411781311035},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.39150795340538025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36198699474334717},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3486824035644531},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.3410372734069824},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07121729850769043}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7732058167457581},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6126568913459778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5658095479011536},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.5331028699874878},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5147624015808105},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.4983255863189697},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4859672784805298},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4623611569404602},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.4112704396247864},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.41016411781311035},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.39150795340538025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36198699474334717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3486824035644531},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.3410372734069824},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07121729850769043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-024-10166-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10166-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10166-z.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/138880","is_oa":true,"landing_page_url":"https://hdl.handle.net/10919/138880","pdf_url":null,"source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"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":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s10444-024-10166-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10166-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10166-z.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400823994.pdf"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W159982689","https://openalex.org/W1459884897","https://openalex.org/W1511110195","https://openalex.org/W1551480811","https://openalex.org/W1615541166","https://openalex.org/W1631445900","https://openalex.org/W1804987519","https://openalex.org/W1838705720","https://openalex.org/W1963565023","https://openalex.org/W1966992674","https://openalex.org/W1979179869","https://openalex.org/W2033712589","https://openalex.org/W2034380464","https://openalex.org/W2043307446","https://openalex.org/W2075664454","https://openalex.org/W2136040575","https://openalex.org/W2141770513","https://openalex.org/W2145662295","https://openalex.org/W2164460822","https://openalex.org/W2171353752","https://openalex.org/W2217265140","https://openalex.org/W2269499040","https://openalex.org/W2297389119","https://openalex.org/W2501213636","https://openalex.org/W2560261741","https://openalex.org/W2592297590","https://openalex.org/W2607898534","https://openalex.org/W2736250628","https://openalex.org/W2962781132","https://openalex.org/W2977736286","https://openalex.org/W3036228507","https://openalex.org/W3093124148","https://openalex.org/W3098594427","https://openalex.org/W3101859848","https://openalex.org/W3125489289","https://openalex.org/W3150423751","https://openalex.org/W3174453452","https://openalex.org/W3185434412","https://openalex.org/W3207214624","https://openalex.org/W3216304349","https://openalex.org/W4206922243","https://openalex.org/W4210995191","https://openalex.org/W4229692323","https://openalex.org/W4281289799","https://openalex.org/W4285505886","https://openalex.org/W4296870727","https://openalex.org/W4297030488","https://openalex.org/W4304698327","https://openalex.org/W4308650484","https://openalex.org/W4360834934","https://openalex.org/W4388081974","https://openalex.org/W6609594104","https://openalex.org/W6948796053","https://openalex.org/W6949974901"],"related_works":["https://openalex.org/W2036543038","https://openalex.org/W2382426030","https://openalex.org/W2071815454","https://openalex.org/W2075020252","https://openalex.org/W4303468906","https://openalex.org/W2355602298","https://openalex.org/W1479673685","https://openalex.org/W2018318601","https://openalex.org/W2347981043","https://openalex.org/W3120123521"],"abstract_inverted_index":{"Abstract":[0],"Interpolation-based":[1],"methods":[2,21,177],"are":[3,22,84],"well-established":[4],"and":[5,33,86,182],"effective":[6],"approaches":[7],"for":[8,19,48,122,138],"the":[9,23,34,38,45,53,74,103,139,143,147,155,175],"efficient":[10],"generation":[11],"of":[12,26,37,76,96,106,146,166,180],"accurate":[13,160],"reduced-order":[14,39,107,140,156],"surrogate":[15],"models.":[16],"Common":[17],"challenges":[18],"such":[20,153,169],"automatic":[24],"selection":[25],"good":[27],"or":[28],"even":[29],"optimal":[30,61,81],"interpolation":[31,62,82,98,117,130,148],"points":[32,63,83,99,131,149],"appropriate":[35,136],"size":[36,105,137],"model.":[40],"An":[41],"approach":[42,173],"that":[43,100,154],"addresses":[44],"first":[46],"problem":[47],"linear,":[49],"unstructured":[50],"systems":[51,125],"is":[52],"iterative":[54,65,116,144],"rational":[55],"Krylov":[56],"algorithm":[57],"(IRKA),":[58],"which":[59],"computes":[60],"through":[64],"updates":[66,145],"by":[67,120],"solving":[68],"linear":[69],"eigenvalue":[70,91],"problems.":[71],"However,":[72],"in":[73,94,162,178,188],"case":[75],"preserving":[77],"internal":[78],"system":[79],"structures,":[80],"unknown,":[85],"heuristics":[87],"based":[88],"on":[89],"nonlinear":[90],"problems":[92],"result":[93],"numbers":[95],"potential":[97],"typically":[101],"exceed":[102],"reasonable":[104],"systems.":[108],"In":[109],"our":[110,171],"work,":[111],"we":[112],"propose":[113],"a":[114],"projection-based":[115],"method":[118],"inspired":[119],"IRKA":[121],"generally":[123],"structured":[124],"to":[126],"adaptively":[127],"compute":[128],"near-optimal":[129],"as":[132,134],"well":[133],"an":[135,159],"system.":[141],"Additionally,":[142],"can":[150],"be":[151],"chosen":[152],"model":[157],"provides":[158],"approximation":[161],"specified":[163],"frequency":[164],"ranges":[165],"interest.":[167],"For":[168],"applications,":[170],"new":[172],"outperforms":[174],"established":[176],"terms":[179],"accuracy":[181],"computational":[183],"effort.":[184],"We":[185],"show":[186],"this":[187],"numerical":[189],"examples":[190],"with":[191],"different":[192],"structures.":[193]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2024-07-20T00:00:00"}
