{"id":"https://openalex.org/W2018615649","doi":"https://doi.org/10.1137/s0036142902418333","title":"Numerical Analysis of Stochastic Schemes in Geophysics","display_name":"Numerical Analysis of Stochastic Schemes in Geophysics","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2018615649","doi":"https://doi.org/10.1137/s0036142902418333","mag":"2018615649"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142902418333","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902418333","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060517680","display_name":"Brian Ewald","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brian D. Ewald","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX 77843"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX 77843","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074156162","display_name":"Roger T\u00e9mam","orcid":"https://orcid.org/0000-0003-1927-4805"},"institutions":[{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roger T\u00e9mam","raw_affiliation_strings":["\u2021Indiana University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u2021Indiana University","institution_ids":["https://openalex.org/I592451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060517680"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":1.6434,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.80324729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"42","issue":"6","first_page":"2257","last_page":"2276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9635000228881836,"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/barotropic-fluid","display_name":"Barotropic fluid","score":0.7654142379760742},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6992742419242859},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5862029194831848},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5802528858184814},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5753384828567505},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.559123158454895},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48922109603881836},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4766874313354492},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4424579441547394},{"id":"https://openalex.org/keywords/geophysics","display_name":"Geophysics","score":0.43561500310897827},{"id":"https://openalex.org/keywords/geophysical-fluid-dynamics","display_name":"Geophysical fluid dynamics","score":0.41833022236824036},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3460335433483124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24486330151557922},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.20489847660064697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2031078040599823},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.18184763193130493},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14512291550636292},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07164013385772705}],"concepts":[{"id":"https://openalex.org/C29712183","wikidata":"https://www.wikidata.org/wiki/Q739293","display_name":"Barotropic fluid","level":2,"score":0.7654142379760742},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6992742419242859},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5862029194831848},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5802528858184814},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5753384828567505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.559123158454895},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48922109603881836},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4766874313354492},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4424579441547394},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.43561500310897827},{"id":"https://openalex.org/C145290371","wikidata":"https://www.wikidata.org/wiki/Q3041995","display_name":"Geophysical fluid dynamics","level":2,"score":0.41833022236824036},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3460335433483124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24486330151557922},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.20489847660064697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2031078040599823},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.18184763193130493},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14512291550636292},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07164013385772705},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036142902418333","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902418333","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:oaktrust.library.tamu.edu:1969.1/180683","is_oa":false,"landing_page_url":"https://hdl.handle.net/1969.1/180683","pdf_url":null,"source":{"id":"https://openalex.org/S4306400291","display_name":"OakTrust (Texas A&M University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91045830","host_organization_name":"Texas A&M University","host_organization_lineage":["https://openalex.org/I91045830"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1575104486","https://openalex.org/W1991239884","https://openalex.org/W2022690347","https://openalex.org/W2027140414","https://openalex.org/W2034249347","https://openalex.org/W2036522227","https://openalex.org/W2077315519","https://openalex.org/W2087892850","https://openalex.org/W2099579103","https://openalex.org/W2164786521","https://openalex.org/W2175981512","https://openalex.org/W2607399731","https://openalex.org/W2997679055","https://openalex.org/W4231021340","https://openalex.org/W4294990616"],"related_works":["https://openalex.org/W1540775509","https://openalex.org/W1572097689","https://openalex.org/W4380853392","https://openalex.org/W2503772232","https://openalex.org/W2048077717","https://openalex.org/W1994338859","https://openalex.org/W2281036837","https://openalex.org/W2324449490","https://openalex.org/W3149048665","https://openalex.org/W3047676097"],"abstract_inverted_index":{"We":[0],"present":[1],"and":[2,7,57],"study":[3],"the":[4,19,33,36,49],"stability,":[5],"convergence,":[6],"order":[8],"of":[9,11,22,35,51],"convergence":[10],"a":[12,23],"numerical":[13],"scheme":[14,27],"used":[15],"in":[16,48],"geophysics,":[17],"namely,":[18],"stochastic":[20],"version":[21],"deterministic":[24],"\"implicit":[25],"leapfrog\"":[26],"which":[28,44],"has":[29],"been":[30],"developed":[31],"for":[32],"approximation":[34],"so-called":[37],"barotropic":[38],"vorticity":[39],"model.":[40],"Two":[41],"other":[42],"schemes":[43],"might":[45],"be":[46],"useful":[47],"context":[50],"geophysical":[52],"applications":[53],"are":[54],"also":[55],"introduced":[56],"discussed.":[58]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}