{"id":"https://openalex.org/W2952060529","doi":"https://doi.org/10.48550/arxiv.1906.07219","title":"Efficient IMEX Runge-Kutta methods for nonhydrostatic dynamics","display_name":"Efficient IMEX Runge-Kutta methods for nonhydrostatic dynamics","publication_year":2019,"publication_date":"2019-06-17","ids":{"openalex":"https://openalex.org/W2952060529","doi":"https://doi.org/10.48550/arxiv.1906.07219","mag":"2952060529"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1906.07219","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.07219","pdf_url":"https://arxiv.org/pdf/1906.07219","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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.07219","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034507069","display_name":"Andrew J. Steyer","orcid":"https://orcid.org/0000-0003-4210-1232","observed_orcids":["https://orcid.org/0000-0003-4210-1232"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Steyer, Andrew","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050224363","display_name":"Christopher James Vogl","orcid":"https://orcid.org/0000-0002-3855-694X","observed_orcids":["https://orcid.org/0000-0002-3855-694X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vogl, Christopher J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022737320","display_name":"Mark A. Taylor","orcid":"https://orcid.org/0000-0002-9267-2554","observed_orcids":["https://orcid.org/0000-0002-9267-2554"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Taylor, Mark","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5052733055","display_name":"Oksana Guba","orcid":"https://orcid.org/0000-0001-7242-7001","observed_orcids":["https://orcid.org/0000-0001-7242-7001"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guba, Oksana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.7221999764442444,"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":0.7221999764442444,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.15729999542236328,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.06939999759197235,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability-region","display_name":"stability region","score":0.6869999766349792},{"id":"https://openalex.org/keywords/numerical-accuracy","display_name":"numerical accuracy","score":0.531000018119812},{"id":"https://openalex.org/keywords/atmospheric-dynamics","display_name":"atmospheric dynamics","score":0.4009999930858612},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.5149999856948853}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.8825275897979736},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7385298609733582},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5262155532836914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46590477228164673},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.45949724316596985},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41937392950057983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3814457058906555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1503675878047943},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.1317911148071289},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08647561073303223},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.05995035171508789},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.051798880100250244},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:1906.07219","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.07219","pdf_url":"https://arxiv.org/pdf/1906.07219","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:osti.gov:1837626","doi":null,"is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1837626","pdf_url":"https://www.osti.gov/servlets/purl/1837626","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"mag:2952060529","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1906.07219v1","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1906.07219","doi":"https://doi.org/10.48550/arxiv.1906.07219","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.07219","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.07219","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.07219","pdf_url":"https://arxiv.org/pdf/1906.07219","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G11630931","display_name":null,"funder_award_id":"DENA0003525","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1356433355","display_name":null,"funder_award_id":"DE\u2010AC5207NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G14554683","display_name":null,"funder_award_id":"DEAC5207NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2145270357","display_name":null,"funder_award_id":"AC52\u201007NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G217780377","display_name":null,"funder_award_id":"DE-AC52-07-NA27344","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G2214935549","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G280414146","display_name":null,"funder_award_id":"DE-NA0003525","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G3624711596","display_name":null,"funder_award_id":"DE-NA0003525","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G413247060","display_name":null,"funder_award_id":"DE\u2010NA,0003525","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G4903105778","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5339743583","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G574795485","display_name":null,"funder_award_id":"DE-AC52-07NA27344","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G855168022","display_name":null,"funder_award_id":"DENA-0003525","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G991281326","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W12303940","https://openalex.org/W157826253","https://openalex.org/W1521676386","https://openalex.org/W1842793358","https://openalex.org/W1969251581","https://openalex.org/W1971286424","https://openalex.org/W1974404496","https://openalex.org/W1982763896","https://openalex.org/W1988356624","https://openalex.org/W1996790573","https://openalex.org/W2004312490","https://openalex.org/W2005577296","https://openalex.org/W2009700688","https://openalex.org/W2016411152","https://openalex.org/W2018765563","https://openalex.org/W2022154414","https://openalex.org/W2022402167","https://openalex.org/W2031070610","https://openalex.org/W2054420328","https://openalex.org/W2071323852","https://openalex.org/W2090606658","https://openalex.org/W2127900800","https://openalex.org/W2130315193","https://openalex.org/W2141737416","https://openalex.org/W2147924375","https://openalex.org/W2150281143","https://openalex.org/W2166751342","https://openalex.org/W2295366667","https://openalex.org/W2519149964","https://openalex.org/W2552102249","https://openalex.org/W2614893554","https://openalex.org/W2767981512","https://openalex.org/W2810842845","https://openalex.org/W2962691681","https://openalex.org/W3099526084"],"related_works":["https://openalex.org/W2552102249","https://openalex.org/W3048334285","https://openalex.org/W47895547","https://openalex.org/W2962691681","https://openalex.org/W2082764901","https://openalex.org/W3101470735","https://openalex.org/W2949717038","https://openalex.org/W2413045863","https://openalex.org/W2944793638","https://openalex.org/W2771552535","https://openalex.org/W2508756916","https://openalex.org/W2904617426","https://openalex.org/W3004101929","https://openalex.org/W2794595703","https://openalex.org/W2032720977","https://openalex.org/W2887788518","https://openalex.org/W2054420328","https://openalex.org/W3181405894","https://openalex.org/W1598325632","https://openalex.org/W2966177904"],"abstract_inverted_index":{"We":[0,38],"analyze":[1],"the":[2,30,82,108],"stability":[3,44,85],"and":[4,35,59,84,100],"accuracy":[5,83],"(up":[6],"to":[7,102],"third":[8],"order)":[9],"of":[10,14,24,32,53,62,86,92],"a":[11,75],"new":[12],"family":[13],"implicit-explicit":[15],"Runge-Kutta":[16],"(IMEX":[17],"RK)":[18],"methods.":[19,89],"This":[20],"analysis":[21],"expedites":[22],"development":[23],"methods":[25,41,65,95,106],"with":[26,42,74],"various":[27,87],"balances":[28],"in":[29,98,107],"number":[31],"explicit":[33,48],"stages":[34],"implicit":[36,50],"solves.":[37],"emphasize":[39],"deriving":[40],"large":[43],"regions":[45],"for":[46,80],"horizontally":[47],"vertically":[49],"(HEVI)":[51],"partitionings":[52],"nonhydrostatic":[54],"atmosphere":[55],"models.":[56],"The":[57,71,90],"IMKG2":[58],"IMKG3":[60],"families":[61],"IMEX":[63,104],"RK":[64,105],"are":[66],"formulated":[67],"within":[68],"this":[69],"framework.":[70],"HOMME-NH":[72,99],"model":[73],"HEVI":[76],"partitioning":[77],"is":[78,96],"used":[79],"testing":[81],"IMKG2-3":[88,94],"efficiency":[91],"several":[93],"demonstrated":[97],"compared":[101],"other":[103],"literature.":[109]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2025-10-10T00:00:00"}