{"id":"https://openalex.org/W2004453050","doi":"https://doi.org/10.1080/00207169908804848","title":"New rotated iterative algorithms for the solution of a coupled system of elliptic equations","display_name":"New rotated iterative algorithms for the solution of a coupled system of elliptic equations","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2004453050","doi":"https://doi.org/10.1080/00207169908804848","mag":"2004453050"},"language":"en","primary_location":{"id":"doi:10.1080/00207169908804848","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804848","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5008238851","display_name":"Norhashidah Hj. Mohd. Ali","orcid":"https://orcid.org/0000-0002-2060-611X"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Norhashidah Hj Mohd. Ali","raw_affiliation_strings":["School of Mathematical Sciences , Universiti Sains Malaysia , Penang, 11800,  Malaysia","School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800 , Malaysia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , Universiti Sains Malaysia , Penang, 11800,  Malaysia","institution_ids":["https://openalex.org/I139322472"]},{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800 , Malaysia","institution_ids":["https://openalex.org/I139322472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109212380","display_name":"Abdul Rahman Abdullah","orcid":null},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Abdul Rahman Abdullah","raw_affiliation_strings":["Faculty of Information Science and Technology , Universiti Kebangsaan Malaysia , Bangi, Selangor, 43600,  Malaysia","Faculty of Information Science and Technology , Universiti Kebangsaan Malaysia , Bangi, Selangor, 43600, Malaysia"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Science and Technology , Universiti Kebangsaan Malaysia , Bangi, Selangor, 43600,  Malaysia","institution_ids":["https://openalex.org/I885383172"]},{"raw_affiliation_string":"Faculty of Information Science and Technology , Universiti Kebangsaan Malaysia , Bangi, Selangor, 43600, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008238851"],"corresponding_institution_ids":["https://openalex.org/I139322472"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.11501615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"72","issue":"2","first_page":"223","last_page":"251"},"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":0.9997000098228455,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994999766349792,"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/T10514","display_name":"Numerical methods in engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/pointwise","display_name":"Pointwise","score":0.810920774936676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7874917984008789},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.7142361402511597},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4919102191925049},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4586603045463562},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4308352470397949},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4232522249221802},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4163917303085327},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3434883952140808},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1931849718093872}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.810920774936676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7874917984008789},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.7142361402511597},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4919102191925049},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4586603045463562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4308352470397949},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4232522249221802},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4163917303085327},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3434883952140808},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1931849718093872}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169908804848","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804848","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W574119626","https://openalex.org/W2025768607","https://openalex.org/W2076077791","https://openalex.org/W2088953608","https://openalex.org/W2123278774","https://openalex.org/W2341059552","https://openalex.org/W2486656681"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W1856228368","https://openalex.org/W3197542402","https://openalex.org/W2971527398","https://openalex.org/W1025150868","https://openalex.org/W2645958880","https://openalex.org/W1968809652"],"abstract_inverted_index":{"Iterative":[0],"method":[1,18,87],"based":[2,19,88],"on":[3,20,46,89],"the":[4,17,21,33,47,67,85,90,97],"rotated":[5,48],"finite":[6],"difference":[7],"approximations":[8],"has":[9],"been":[10],"shown":[11],"to":[12,32],"be":[13,78],"much":[14],"faster":[15],"than":[16,96],"standard":[22],"five-point":[23],"formula":[24],"in":[25,65,102],"solving":[26,51],"elliptic":[27,56],"p.d.e.'s,":[28],"which":[29,100],"is":[30,63],"due":[31],"former's":[34],"overall":[35],"lower":[36],"computational":[37,106],"complexity":[38,107],"[1].":[39],"In":[40],"this":[41],"paper,":[42],"iterative":[43,75,86],"methods":[44],"derived":[45],"formulae":[49],"for":[50],"a":[52],"coupled":[53],"system":[54],"of":[55],"p.d.e.'s":[57],"are":[58],"described.":[59],"The":[60],"time-independent":[61],"case":[62],"treated,":[64],"particular":[66],"steady-state":[68],"Navier-Stokes":[69],"equations.":[70],"Both":[71],"point":[72],"and":[73],"group":[74,91],"schemes":[76],"will":[77],"discussed.":[79],"Numerical":[80],"results":[81],"obtained":[82],"reveal":[83],"that":[84],"scheme":[92,99],"converge":[93],"more":[94],"rapidly":[95],"pointwise":[98],"were":[101],"agreement":[103],"with":[104],"their":[105],"analysis.":[108]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
