{"id":"https://openalex.org/W4415879040","doi":"https://doi.org/10.1137/25m1813317","title":"Numerical Computation of the Density of States of Aperiodic Multiscale Schr\u00f6dinger Operators","display_name":"Numerical Computation of the Density of States of Aperiodic Multiscale Schr\u00f6dinger Operators","publication_year":2026,"publication_date":"2026-10-27","ids":{"openalex":"https://openalex.org/W4415879040","doi":"https://doi.org/10.1137/25m1813317"},"language":"en","primary_location":{"id":"doi:10.1137/25m1813317","doi":"https://doi.org/10.1137/25m1813317","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1813317","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2510.15369","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107049443","display_name":"Eric Canc\u00e8s B","orcid":"https://orcid.org/0000-0002-8876-8254","observed_orcids":["https://orcid.org/0000-0002-8876-8254"]},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Canc\u00e8s","raw_affiliation_strings":["CERMICS, \u00c9cole des Ponts, Institut Polytechnique de Paris, and Inria, 77455 Marne-la-Vall\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CERMICS, \u00c9cole des Ponts, Institut Polytechnique de Paris, and Inria, 77455 Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027811873","display_name":"Daniel Massatt","orcid":"https://orcid.org/0000-0003-0526-4892","observed_orcids":["https://orcid.org/0000-0003-0526-4892"]},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Massatt","raw_affiliation_strings":["New Jersey Institute of Technology, Newark, NJ 07103 USA"],"raw_orcid":"https://orcid.org/0000-0003-0526-4892","affiliations":[{"raw_affiliation_string":"New Jersey Institute of Technology, Newark, NJ 07103 USA","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100457554","display_name":"Long Meng","orcid":"https://orcid.org/0000-0003-2011-8842","observed_orcids":["https://orcid.org/0000-0003-2011-8842"]},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Meng","raw_affiliation_strings":["Center for Interdisciplinary Applied Mathematics and Institute of Fundamental and Transdisciplinary Research, Zhejiang University, Hangzhou 310058, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Interdisciplinary Applied Mathematics and Institute of Fundamental and Transdisciplinary Research, Zhejiang University, Hangzhou 310058, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101750838","display_name":"\u00c9tienne Polack","orcid":"https://orcid.org/0000-0003-0543-2008","observed_orcids":["https://orcid.org/0000-0003-0543-2008"]},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"id":"https://openalex.org/I4210091409","display_name":"Institut de Recherche Interdisciplinaire de Grenoble","ror":"https://ror.org/00byxdz40","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I4210091409","https://openalex.org/I4210113668"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9tienne Polack","raw_affiliation_strings":["CERMICS, \u00c9cole des Ponts ParisTech and Inria Paris, 77455 Marne-la-Vall\u00e9e, France, and Universit\u00e9 Grenoble Alpes, CEA Grenoble, IRIG, MEM, NRX, Grenoble F-38000, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CERMICS, \u00c9cole des Ponts ParisTech and Inria Paris, 77455 Marne-la-Vall\u00e9e, France, and Universit\u00e9 Grenoble Alpes, CEA Grenoble, IRIG, MEM, NRX, Grenoble F-38000, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I2738703131","https://openalex.org/I3020098449","https://openalex.org/I4210091409","https://openalex.org/I4210128309","https://openalex.org/I899635006"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100896701","display_name":"Quan Xue","orcid":"https://orcid.org/0000-0003-3349-9517","observed_orcids":["https://orcid.org/0000-0003-3349-9517"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Quan","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China"],"raw_orcid":"https://orcid.org/0000-0003-3349-9517","affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":11,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12822581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"5","first_page":"B872","last_page":"B896"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11887","display_name":"Quasicrystal Structures and Properties","score":0.04349999874830246,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.000699999975040555,"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/density-of-states","display_name":"density of states","score":0.9959999918937683},{"id":"https://openalex.org/keywords/semiclassical-expansion","display_name":"semiclassical expansion","score":0.7509999871253967},{"id":"https://openalex.org/keywords/van-hove-singularity","display_name":"van Hove singularity","score":0.8730000257492065},{"id":"https://openalex.org/keywords/electronic-structure","display_name":"electronic structure","score":0.6740000247955322},{"id":"https://openalex.org/keywords/lattice-mismatch","display_name":"lattice mismatch","score":0.6000000238418579},{"id":"https://openalex.org/keywords/twist-angle","display_name":"twist angle","score":0.8349999785423279},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.625},{"id":"https://openalex.org/keywords/one-dimensional-model","display_name":"one-dimensional model","score":0.5249999761581421}],"concepts":[{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.9509000182151794},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.8159000277519226},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5895000100135803},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5268999934196472},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4896000027656555},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4284000098705292},{"id":"https://openalex.org/C2776196297","wikidata":"https://www.wikidata.org/wiki/Q17138781","display_name":"Twist","level":2,"score":0.40779998898506165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35440000891685486},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3262999951839447},{"id":"https://openalex.org/C53964469","wikidata":"https://www.wikidata.org/wiki/Q230895","display_name":"Density of states","level":2,"score":0.326200008392334},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C86025842","wikidata":"https://www.wikidata.org/wiki/Q5358432","display_name":"Electronic structure","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C2985906921","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Spectral properties","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/25m1813317","doi":"https://doi.org/10.1137/25m1813317","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1813317","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2510.15369","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2510.15369","pdf_url":"https://arxiv.org/pdf/2510.15369","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,"listed_in":[],"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-05421358v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05421358v1","pdf_url":"https://hal.science/hal-05421358/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2025","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2510.15369","doi":"https://doi.org/10.48550/arxiv.2510.15369","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.15369","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,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.20214147","doi":"https://doi.org/10.5281/zenodo.20214147","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20214147","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dataset"},{"id":"doi:10.5281/zenodo.20214148","doi":"https://doi.org/10.5281/zenodo.20214148","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20214148","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dataset"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2510.15369","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2510.15369","pdf_url":"https://arxiv.org/pdf/2510.15369","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,"listed_in":[],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2324577500","display_name":null,"funder_award_id":"FA9550-24-1-0177","funder_id":"https://openalex.org/F4320338294","funder_display_name":"Air Force Research Laboratory"},{"id":"https://openalex.org/G7683707404","display_name":null,"funder_award_id":"810367","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8289759875","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338294","funder_display_name":"Air Force Research Laboratory"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415879040.pdf","grobid_xml":"https://content.openalex.org/works/W4415879040.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2488257813","https://openalex.org/W4407818698","https://openalex.org/W7147465357","https://openalex.org/W3019060001","https://openalex.org/W3135525651","https://openalex.org/W4388393131","https://openalex.org/W7214343360","https://openalex.org/W2783515303","https://openalex.org/W1980585326","https://openalex.org/W2061043258"],"abstract_inverted_index":{"Abstract.":[0],"Computing":[1],"the":[2,25,41,50,64,71,101,106,116,123,140,146,162,165,198,210,220,232,243],"electronic":[3],"structure":[4],"of":[5,27,43,49,105,142,168,190],"incommensurate":[6,44],"materials":[7,245],"is":[8,110],"a":[9,67,74,91,186,207],"central":[10],"challenge":[11],"in":[12,122,145,161,234,242],"condensed":[13],"matter":[14],"physics,":[15],"requiring":[16],"efficient":[17],"ways":[18],"to":[19,79,156,230],"approximate":[20],"spectral":[21],"quantities":[22],"such":[23,150],"as":[24,206],"density":[26],"states":[28],"(DoS).":[29],"In":[30,83],"this":[31,235],"paper,":[32],"we":[33,85],"numerically":[34],"investigate":[35],"two":[36,88,117],"distinct":[37],"approaches":[38],"for":[39,46,113,132,149,179],"approximating":[40],"DoS":[42,163],"Hamiltonians":[45],"small":[47,57,61,124,134,183],"values":[48],"incommensurability":[51],"parameters":[52],"[Formula:":[53,80,125,135,180,251],"see":[54,81,126,136,181,252],"text]":[55,127,182,253],"(e.g.,":[56],"twist":[58],"angle,":[59],"or":[60],"lattice":[62],"mismatch):":[63],"first":[65],"employs":[66],"momentum-space":[68],"decomposition,":[69],"and":[70,108,177,203,219,225,241],"second":[72],"exploits":[73],"semiclassical":[75,147,166,187],"expansion":[76,103],"with":[77],"respect":[78],"text].":[82],"particular,":[84],"compare":[86],"these":[87,154],"methods":[89,118],"using":[90],"one-dimensional":[92],"toy":[93],"model.":[94],"We":[95,152],"check":[96],"their":[97],"consistency":[98],"by":[99,159,185,217],"comparing":[100],"asymptotic":[102],"terms":[104],"DoS,":[107,115],"it":[109],"shown":[111],"that,":[112],"full":[114],"exhibit":[119],"good":[120],"agreement":[121],"limit,":[128],"while":[129],"discrepancies":[130,155],"arise":[131],"less":[133],"text],":[137],"which":[138,172],"indicates":[139],"importance":[141],"higher-order":[143],"corrections":[144],"method":[148],"regimes.":[151],"find":[153],"be":[157,174],"caused":[158],"oscillations":[160],"at":[164,239],"analogues":[167],"Van":[169],"Hove":[170],"singularities,":[171],"can":[173],"explained":[175],"qualitatively,":[176],"quantitatively":[178],"enough,":[184],"approach.":[188],"Reproducibility":[189,200],"computational":[191],"results.":[192],"This":[193],"paper":[194,236],"has":[195],"been":[196],"awarded":[197],"\u201cSIAM":[199],"Badge:":[201],"Code":[202,224],"data":[204,226],"available\u201d":[205],"recognition":[208],"that":[209,227],"authors":[211],"have":[212],"followed":[213],"reproducibility":[214],"principles":[215],"valued":[216],"SISC":[218],"scientific":[221],"computing":[222],"community.":[223],"allow":[228],"readers":[229],"reproduce":[231],"results":[233],"are":[237],"available":[238],"https://zenodo.org/records/20214148":[240],"supplementary":[244],"(":[246],"DOS_multiscale_supplementary_material.pdf":[247],"[270KB],":[248],"DOS_multiscale_supporting_data.zip":[249],"[23.1MB]).":[250]},"counts_by_year":[],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2025-10-21T00:00:00"}
