{"id":"https://openalex.org/W2740324857","doi":"https://doi.org/10.1137/17m1141163","title":"Projected Shadowing-Based Data Assimilation","display_name":"Projected Shadowing-Based Data Assimilation","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2740324857","doi":"https://doi.org/10.1137/17m1141163","mag":"2740324857"},"language":"en","primary_location":{"id":"doi:10.1137/17m1141163","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1141163","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/26428/1707.09264.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048942012","display_name":"Bart de Leeuw","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Bart de Leeuw","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM 87185","\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM 87185","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049314725","display_name":"Svetlana Dubinkina","orcid":"https://orcid.org/0000-0003-2187-5909"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Svetlana Dubinkina","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM 87185","\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM 87185","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109280080","display_name":"Jason Frank","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Jason Frank","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM 87185","\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM 87185","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034507069","display_name":"Andrew Steyer","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Andrew Steyer","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM 87185","\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM 87185","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009472962","display_name":"Xuemin Tu","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Xuemin Tu","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM 87185","\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM 87185","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012033652","display_name":"Erik S. Van Vleck","orcid":"https://orcid.org/0000-0001-9203-8345"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Erik Van Vleck","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM 87185","\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM 87185","institution_ids":["https://openalex.org/I4210104735"]},{"raw_affiliation_string":"\\P University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\S University of Kansas, Department of Mathematics, Lawrence, KS 66405","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"\\dagger Centrum Wiskunde \\& Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"\\ddagger Utrecht University, Mathematical Insitute, P.O. Box 80010, 3508 TA Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8822,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.68774984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"4","first_page":"2446","last_page":"2477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10029","display_name":"Climate variability and models","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/data-assimilation","display_name":"Data assimilation","score":0.6632914543151855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5555739402770996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5372920036315918},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4750502109527588},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4501955509185791},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.40988337993621826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37837520241737366},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3561800420284271},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25846850872039795},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1654430627822876},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08634424209594727},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.08597549796104431}],"concepts":[{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.6632914543151855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5555739402770996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5372920036315918},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4750502109527588},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4501955509185791},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.40988337993621826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37837520241737366},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3561800420284271},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25846850872039795},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1654430627822876},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08634424209594727},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.08597549796104431}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/17m1141163","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1141163","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:cwi.nl:26428","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/26428","pdf_url":"https://ir.cwi.nl/pub/26428/1707.09264.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/other"},{"id":"pmh:oai:cwi.nl:28319","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/28319","pdf_url":"https://ir.cwi.nl/pub/28319/28319.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Dynamical Systems vol. 17 no. 4, pp. 2446-2477","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/374827","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/374827","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"SIAM Journal on Applied Dynamical Systems, 17(4), 2446. Society of Industrial and Applied Mathematics","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:26428","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/26428","pdf_url":"https://ir.cwi.nl/pub/26428/1707.09264.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/other"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1094935518","display_name":"Implicit sampling methods and their applications","funder_award_id":"1419069","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2465014363","display_name":"Topics in Computational Dynamics","funder_award_id":"1419047","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G276974410","display_name":null,"funder_award_id":"DMS-1419047","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G3596574441","display_name":null,"funder_award_id":"DMS-1723066","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G5986250569","display_name":null,"funder_award_id":"657.014.001","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G7239310388","display_name":null,"funder_award_id":"DMS-1419069","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8218712187","display_name":"Collaborative Research: Adaptive Data Assimilation for Nonlinear, Non-Gaussian, and High-Dimensional Combustion Problems on Supercomputers","funder_award_id":"1723066","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"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2740324857.pdf","grobid_xml":"https://content.openalex.org/works/W2740324857.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1721419864","https://openalex.org/W1963815527","https://openalex.org/W1969637866","https://openalex.org/W1970442252","https://openalex.org/W1974282206","https://openalex.org/W1976890616","https://openalex.org/W1983932226","https://openalex.org/W1986755923","https://openalex.org/W1992120986","https://openalex.org/W2001483689","https://openalex.org/W2005528159","https://openalex.org/W2008296953","https://openalex.org/W2009701174","https://openalex.org/W2009751220","https://openalex.org/W2024575511","https://openalex.org/W2030308994","https://openalex.org/W2037254051","https://openalex.org/W2053392159","https://openalex.org/W2056428637","https://openalex.org/W2061216929","https://openalex.org/W2062908485","https://openalex.org/W2064030787","https://openalex.org/W2064184637","https://openalex.org/W2072998188","https://openalex.org/W2073865849","https://openalex.org/W2088004938","https://openalex.org/W2094780448","https://openalex.org/W2103854834","https://openalex.org/W2108455309","https://openalex.org/W2119670763","https://openalex.org/W2122449418","https://openalex.org/W2134009775","https://openalex.org/W2136979539","https://openalex.org/W2137639627","https://openalex.org/W2141394518","https://openalex.org/W2141803622","https://openalex.org/W2144273225","https://openalex.org/W2152396935","https://openalex.org/W2160424980","https://openalex.org/W2162949801","https://openalex.org/W2171411815","https://openalex.org/W2172636311","https://openalex.org/W2174763250","https://openalex.org/W2510000870","https://openalex.org/W4246252271"],"related_works":["https://openalex.org/W1979229270","https://openalex.org/W2374600121","https://openalex.org/W1980381208","https://openalex.org/W125502673","https://openalex.org/W2384948345","https://openalex.org/W2027784897","https://openalex.org/W2019045751","https://openalex.org/W2361515791","https://openalex.org/W2375956839","https://openalex.org/W1982767765"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"we":[3,133],"develop":[4],"algorithms":[5],"for":[6,117,136],"data":[7,71],"assimilation":[8,34,72],"based":[9,21],"upon":[10,22],"a":[11,158],"computational":[12,115],"time":[13,105],"dependent":[14,106],"stable/unstable":[15],"splitting.":[16],"Our":[17],"particular":[18],"method":[19,121,139],"is":[20,29,122,142],"shadowing":[23],"refinement":[24],"and":[25,28,48,61,69,74,93,132,162,169,180],"synchronization":[26],"techniques":[27,116,135,179],"motivated":[30],"by":[31,113],"work":[32],"on":[33],"in":[35,150],"the":[36,109,129,138,144,151,166,175,178,183],"unstable":[37],"subspace":[38,111],"[Carrassi":[39],"et":[40,83],"al.,":[41,84],"Chaos,":[42],"18":[43],"(2008),":[44,89],"023112;":[45],"Trevisan,":[46,62],"D'Isidoro,":[47],"Talagrand,":[49],"Q.":[50],"J.":[51,63,85,95],"R.":[52],"Meteorol.":[53],"Soc.,":[54],"136":[55],"(2010),":[56],"pp.":[57,80,90,100],"487--496;":[58],"Palatella,":[59],"Carrassi,":[60],"Phys.":[64,76],"A,":[65],"46":[66],"(2013),":[67],"254020]":[68],"pseudo-orbit":[70],"[Judd":[73],"Smith,":[75,94],"D,":[77],"151":[78],"(2001),":[79],"125--141;":[81],"Judd":[82],"Atmos.":[86,96],"Sci.,":[87,97],"65":[88],"1749--1772;":[91],"Du":[92],"71":[98],"(2014),":[99],"469--482].":[101],"The":[102,120],"algorithm":[103],"utilizes":[104],"projections":[107],"onto":[108],"nonstable":[110],"determined":[112],"employing":[114],"Lyapunov":[118],"exponents/vectors.":[119],"extended":[123],"to":[124,173],"parameter":[125],"estimation":[126],"without":[127],"changing":[128],"problem":[130],"dynamics":[131],"address":[134],"adapting":[137],"when":[140],"(as":[141],"commonly":[143],"case)":[145],"observations":[146],"are":[147],"not":[148],"available":[149],"full":[152],"model":[153],"state":[154],"space.":[155],"We":[156],"use":[157],"combination":[159],"of":[160,177],"analysis":[161],"numerical":[163],"experiments":[164],"(with":[165],"Lorenz":[167,170],"63":[168],"96":[171],"models)":[172],"illustrate":[174],"efficacy":[176],"show":[181],"that":[182],"results":[184],"compare":[185],"favorably":[186],"with":[187],"other":[188],"variational":[189],"techniques.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2017-08-08T00:00:00"}