{"id":"https://openalex.org/W4387303836","doi":"https://doi.org/10.1007/s10444-023-10073-9","title":"A second-order scheme based on blended BDF for the incompressible MHD system","display_name":"A second-order scheme based on blended BDF for the incompressible MHD system","publication_year":2023,"publication_date":"2023-10-01","ids":{"openalex":"https://openalex.org/W4387303836","doi":"https://doi.org/10.1007/s10444-023-10073-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-023-10073-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10073-9","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5101906733","display_name":"Shuaijun Liu","orcid":"https://orcid.org/0000-0002-5176-193X"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuaijun Liu","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People\u2019s Republic of China","College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People's Republic of China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002555958","display_name":"Pengzhan Huang","orcid":"https://orcid.org/0000-0002-2228-9111"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengzhan Huang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People\u2019s Republic of China","College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2228-9111","affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People's Republic of China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100457891","display_name":"Yinnian He","orcid":"https://orcid.org/0000-0003-3402-8493"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinnian He","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People\u2019s Republic of China","College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People\u2019s Republic of China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, People's Republic of China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101906733"],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0353,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72078033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"49","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.741981029510498},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6910300254821777},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.6811408996582031},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6654939651489258},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6116230487823486},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6027429699897766},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.555762529373169},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5515671372413635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.518293559551239},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.510608971118927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.381588339805603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1395353078842163},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08112350106239319},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07753005623817444}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.741981029510498},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6910300254821777},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6811408996582031},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6654939651489258},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6116230487823486},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6027429699897766},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.555762529373169},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5515671372413635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.518293559551239},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.510608971118927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.381588339805603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1395353078842163},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08112350106239319},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07753005623817444},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-023-10073-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10073-9","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5922686184","display_name":null,"funder_award_id":"12361077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W638755902","https://openalex.org/W936481127","https://openalex.org/W1480058644","https://openalex.org/W1507472665","https://openalex.org/W1540157221","https://openalex.org/W1679957534","https://openalex.org/W1964070472","https://openalex.org/W1969344211","https://openalex.org/W1969372097","https://openalex.org/W1997281792","https://openalex.org/W2007260323","https://openalex.org/W2011571988","https://openalex.org/W2026646621","https://openalex.org/W2027822086","https://openalex.org/W2031903094","https://openalex.org/W2045478774","https://openalex.org/W2047397639","https://openalex.org/W2049914863","https://openalex.org/W2062541786","https://openalex.org/W2091450899","https://openalex.org/W2093145860","https://openalex.org/W2095094619","https://openalex.org/W2099460886","https://openalex.org/W2110634732","https://openalex.org/W2117686126","https://openalex.org/W2151210652","https://openalex.org/W2156843223","https://openalex.org/W2239239537","https://openalex.org/W2325083198","https://openalex.org/W2409648791","https://openalex.org/W2567124413","https://openalex.org/W2748749923","https://openalex.org/W2779170899","https://openalex.org/W2782353604","https://openalex.org/W2893202907","https://openalex.org/W2964305021","https://openalex.org/W2998362785","https://openalex.org/W3025041300","https://openalex.org/W4224862636","https://openalex.org/W4246866568","https://openalex.org/W4247698309","https://openalex.org/W4248450032","https://openalex.org/W4252104256","https://openalex.org/W4281993321","https://openalex.org/W4283700648","https://openalex.org/W4292024663","https://openalex.org/W4292488051","https://openalex.org/W6635892796"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W2220129715","https://openalex.org/W4296478327","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W2333625343","https://openalex.org/W1960072520","https://openalex.org/W2023776155","https://openalex.org/W2387596242"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}