{"id":"https://openalex.org/W2119195823","doi":"https://doi.org/10.1109/icppw.2002.1039747","title":"An efficient parallel ADI algorithm for solving 3-D convection diffusion equations with Neumann boundary conditions","display_name":"An efficient parallel ADI algorithm for solving 3-D convection diffusion equations with Neumann boundary conditions","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2119195823","doi":"https://doi.org/10.1109/icppw.2002.1039747","mag":"2119195823"},"language":"en","primary_location":{"id":"doi:10.1109/icppw.2002.1039747","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icppw.2002.1039747","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Conference on Parallel Processing Workshop","raw_type":"proceedings-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/A5069654795","display_name":"Honghai Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Honghai Zeng","raw_affiliation_strings":["Engineering Research Center, Mississippi State University, MS, USA","Eng. Res. Center, Mississippi State Univ., MS, USA"],"affiliations":[{"raw_affiliation_string":"Engineering Research Center, Mississippi State University, MS, USA","institution_ids":["https://openalex.org/I99041443"]},{"raw_affiliation_string":"Eng. Res. Center, Mississippi State Univ., MS, USA","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036372234","display_name":"Jianping Zhu","orcid":"https://orcid.org/0000-0001-5160-6991"},"institutions":[{"id":"https://openalex.org/I110152177","display_name":"University of Akron","ror":"https://ror.org/02kyckx55","country_code":"US","type":"education","lineage":["https://openalex.org/I110152177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianping Zhu","raw_affiliation_strings":["Department of Theoretical and Applied Mathematics, University of Akron, Akron, OH, USA","#N#University of Akron#N#"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical and Applied Mathematics, University of Akron, Akron, OH, USA","institution_ids":["https://openalex.org/I110152177"]},{"raw_affiliation_string":"#N#University of Akron#N#","institution_ids":["https://openalex.org/I110152177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069654795"],"corresponding_institution_ids":["https://openalex.org/I99041443"],"apc_list":null,"apc_paid":null,"fwci":1.3702,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81587373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"320","last_page":"326"},"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":0.9993000030517578,"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":0.9993000030517578,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.6945220232009888},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.6530039310455322},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6216093301773071},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.58974289894104},{"id":"https://openalex.org/keywords/multiprocessing","display_name":"Multiprocessing","score":0.5872830748558044},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.5750511884689331},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5563499331474304},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5497943162918091},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"Alternating direction implicit method","score":0.5476150512695312},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5336407423019409},{"id":"https://openalex.org/keywords/von-neumann-stability-analysis","display_name":"Von Neumann stability analysis","score":0.45221248269081116},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4489700496196747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3729313015937805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3308420777320862},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2803781032562256},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.24155232310295105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20074915885925293}],"concepts":[{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.6945220232009888},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.6530039310455322},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6216093301773071},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.58974289894104},{"id":"https://openalex.org/C4822641","wikidata":"https://www.wikidata.org/wiki/Q846651","display_name":"Multiprocessing","level":2,"score":0.5872830748558044},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.5750511884689331},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5563499331474304},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5497943162918091},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.5476150512695312},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5336407423019409},{"id":"https://openalex.org/C71477052","wikidata":"https://www.wikidata.org/wiki/Q458556","display_name":"Von Neumann stability analysis","level":4,"score":0.45221248269081116},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4489700496196747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3729313015937805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3308420777320862},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2803781032562256},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.24155232310295105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20074915885925293},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icppw.2002.1039747","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icppw.2002.1039747","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Conference on Parallel Processing Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:engagedscholarship.csuohio.edu:scimath_facpub-1108","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=1039747&contentType=Conference+Publications&searchField%3DSearch_All%26queryText%3Dan+efficient+parallel+ADI+algorithm","pdf_url":null,"source":{"id":"https://openalex.org/S4306400889","display_name":"EngagedScholarship @ Cleveland State University (Cleveland State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102607778","host_organization_name":"Cleveland State University","host_organization_lineage":["https://openalex.org/I102607778"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W184107035","https://openalex.org/W590551490","https://openalex.org/W1516450814","https://openalex.org/W1538356049","https://openalex.org/W1556859836","https://openalex.org/W2095036901","https://openalex.org/W2572087862","https://openalex.org/W4212946773"],"related_works":["https://openalex.org/W2169469906","https://openalex.org/W2134050719","https://openalex.org/W1996622347","https://openalex.org/W1990829983","https://openalex.org/W4305028647","https://openalex.org/W2917703562","https://openalex.org/W3091265647","https://openalex.org/W61736495","https://openalex.org/W1532087607","https://openalex.org/W2994324903"],"abstract_inverted_index":{"Convection":[0],"diffusion":[1],"equations":[2,42],"are":[3,53],"widely":[4],"used":[5],"to":[6,61,72],"model":[7],"various":[8],"important":[9],"phenomena":[10],"and":[11,15,43,92],"processes":[12],"in":[13,55],"science":[14],"engineering.":[16],"The":[17,29,84],"calculation":[18],"of":[19,41,66],"numerical":[20],"solutions":[21],"for":[22,38,45],"three-dimensional":[23],"models":[24],"is":[25,35,59,82,93],"very":[26,36,94],"computation":[27],"intensive.":[28],"alternate":[30],"direction":[31],"implicit":[32],"(ADI)":[33],"algorithm":[34,81],"efficient":[37],"this":[39],"kind":[40],"suitable":[44],"parallel":[46,98],"computing.":[47],"However,":[48],"when":[49,78],"Neumann":[50,75],"boundary":[51,76],"conditions":[52,77],"involved":[54],"the":[56,63,79,88],"equations,":[57],"it":[58],"difficult":[60],"maintain":[62],"original":[64],"order":[65,90],"accuracy.":[67],"We":[68],"discuss":[69],"a":[70],"method":[71,86],"deal":[73],"with":[74],"ADI":[80],"used.":[83],"new":[85],"maintains":[87],"second":[89],"accuracy":[91],"scalable":[95],"on":[96],"multiprocessor":[97],"computers.":[99]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
