{"id":"https://openalex.org/W3147602733","doi":"https://doi.org/10.1007/s40314-021-01483-w","title":"High-order compact LOD methods for solving high-dimensional advection equations","display_name":"High-order compact LOD methods for solving high-dimensional advection equations","publication_year":2021,"publication_date":"2021-04-01","ids":{"openalex":"https://openalex.org/W3147602733","doi":"https://doi.org/10.1007/s40314-021-01483-w","mag":"3147602733"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01483-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-021-01483-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-021-01483-w.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied 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/s40314-021-01483-w.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101756636","display_name":"Hou Bo","orcid":"https://orcid.org/0000-0001-6741-1187"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Hou","raw_affiliation_strings":["Institute of Applied Mathematics and Mechanics, Ningxia University, Yinchuan, 750021, China","School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and Mechanics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053905172","display_name":"Yongbin Ge","orcid":"https://orcid.org/0000-0003-4831-532X"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongbin Ge","raw_affiliation_strings":["Institute of Applied Mathematics and Mechanics, Ningxia University, Yinchuan, 750021, China"],"raw_orcid":"https://orcid.org/0000-0003-4831-532X","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and Mechanics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101756636"],"corresponding_institution_ids":["https://openalex.org/I21642278","https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04918532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9990000128746033,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.7580230236053467},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.7314617037773132},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.7009663581848145},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.6476267576217651},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6376014947891235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6222938895225525},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6093546152114868},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5515109896659851},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5504522919654846},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.432331383228302},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42477548122406006},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.4233357906341553},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.4186170697212219},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38573864102363586},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28631165623664856},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.25037795305252075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14441943168640137},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11141934990882874},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.08378347754478455},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08370241522789001}],"concepts":[{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.7580230236053467},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.7314617037773132},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.7009663581848145},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.6476267576217651},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6376014947891235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6222938895225525},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6093546152114868},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5515109896659851},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5504522919654846},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.432331383228302},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42477548122406006},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.4233357906341553},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.4186170697212219},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38573864102363586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28631165623664856},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.25037795305252075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14441943168640137},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11141934990882874},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.08378347754478455},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08370241522789001},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01483-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-021-01483-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-021-01483-w.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40314-021-01483-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-021-01483-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-021-01483-w.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1232573025","display_name":null,"funder_award_id":"11902170","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4397907366","display_name":null,"funder_award_id":"11961054","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4782656278","display_name":null,"funder_award_id":"2020AAC03059","funder_id":"https://openalex.org/F4320322877","funder_display_name":"Natural Science Foundation of Ningxia Province"},{"id":"https://openalex.org/G6652897409","display_name":null,"funder_award_id":"11772165","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8314300348","display_name":null,"funder_award_id":"2020AAC03059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G857806735","display_name":null,"funder_award_id":"11772165","funder_id":"https://openalex.org/F4320322877","funder_display_name":"Natural Science Foundation of Ningxia Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322877","display_name":"Natural Science Foundation of Ningxia Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3147602733.pdf","grobid_xml":"https://content.openalex.org/works/W3147602733.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1980561535","https://openalex.org/W1999024929","https://openalex.org/W2002711755","https://openalex.org/W2013106503","https://openalex.org/W2015923132","https://openalex.org/W2017394309","https://openalex.org/W2031166205","https://openalex.org/W2031753742","https://openalex.org/W2036683202","https://openalex.org/W2040267834","https://openalex.org/W2042832861","https://openalex.org/W2059138579","https://openalex.org/W2064593896","https://openalex.org/W2079557828","https://openalex.org/W2082177160","https://openalex.org/W2095036901","https://openalex.org/W2105511643","https://openalex.org/W2121967201","https://openalex.org/W2127705858","https://openalex.org/W2745604712","https://openalex.org/W2770844452","https://openalex.org/W2783426371","https://openalex.org/W2896094676","https://openalex.org/W2968961365","https://openalex.org/W3011308989","https://openalex.org/W3022326838","https://openalex.org/W3121554115"],"related_works":["https://openalex.org/W4389072382","https://openalex.org/W130630651","https://openalex.org/W2361691867","https://openalex.org/W2047770421","https://openalex.org/W4306403495","https://openalex.org/W4317669770","https://openalex.org/W4226069104","https://openalex.org/W3021117782","https://openalex.org/W2031465135","https://openalex.org/W2073959938"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"by":[4],"using":[5],"the":[6,17,21,34,44,53,61,68,84,89],"local":[7],"one-dimensional":[8],"(LOD)":[9],"method,":[10,57],"Taylor":[11],"series":[12],"expansion":[13],"and":[14,36,50,70,86],"correction":[15],"for":[16,32],"third":[18],"derivatives":[19],"in":[20,47],"truncation":[22],"error":[23],"remainder,":[24],"two":[25,62],"high-order":[26],"compact":[27],"LOD":[28],"schemes":[29,63],"are":[30,64,74,80],"established":[31],"solving":[33],"two-":[35],"three-":[37],"dimensional":[38],"advection":[39],"equations,":[40],"respectively.":[41],"They":[42],"have":[43],"fourth-order":[45],"accuracy":[46,85],"both":[48],"time":[49],"space.":[51],"By":[52],"von":[54],"Neumann":[55],"analysis":[56],"it":[58],"shows":[59],"that":[60],"unconditionally":[65],"stable.":[66],"Besides,":[67],"consistency":[69],"convergence":[71],"of":[72,88],"them":[73],"also":[75],"proved.":[76],"Finally,":[77],"numerical":[78],"experiments":[79],"given":[81],"to":[82],"confirm":[83],"efficiency":[87],"present":[90],"schemes.":[91]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}