{"id":"https://openalex.org/W2912163380","doi":"https://doi.org/10.1109/skima.2018.8631514","title":"Multiresolution Discrete Finite Difference Masks for Rapid Solution Approximation of the Poisson\u2019s Equation","display_name":"Multiresolution Discrete Finite Difference Masks for Rapid Solution Approximation of the Poisson\u2019s Equation","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2912163380","doi":"https://doi.org/10.1109/skima.2018.8631514","mag":"2912163380"},"language":"en","primary_location":{"id":"doi:10.1109/skima.2018.8631514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/skima.2018.8631514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 12th International Conference on Software, Knowledge, Information Management & Applications (SKIMA)","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/A5091089623","display_name":"Ravi Kumar Jha","orcid":"https://orcid.org/0000-0003-0413-7867"},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Ravi Kumar Jha","raw_affiliation_strings":["Faculty of Computing, Universiti Teknologi Malaysia, Johor Bahru, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing, Universiti Teknologi Malaysia, Johor Bahru, Malaysia","institution_ids":["https://openalex.org/I4576418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083781406","display_name":"Hassan Ugail","orcid":"https://orcid.org/0000-0002-3084-1797"},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hassan Ugail","raw_affiliation_strings":["Centre for Visual Computing, University of Bradford, Bradford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Visual Computing, University of Bradford, Bradford, United Kingdom","institution_ids":["https://openalex.org/I139894009"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053060236","display_name":"Habibollah Haron","orcid":"https://orcid.org/0000-0002-3749-5364"},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Habibollah Haron","raw_affiliation_strings":["Faculty of Computing, Universiti Teknologi Malaysia, Johor Bahru, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing, Universiti Teknologi Malaysia, Johor Bahru, Malaysia","institution_ids":["https://openalex.org/I4576418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014857926","display_name":"Andr\u00e9s Iglesias","orcid":"https://orcid.org/0000-0002-5672-8274"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Andres Iglesias","raw_affiliation_strings":["Dept. of Applied Mathematics, University of Cantabria, Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Applied Mathematics, University of Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6245,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67895434,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9908999800682068,"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/T11558","display_name":"Composite Material Mechanics","score":0.988099992275238,"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/discrete-poisson-equation","display_name":"Discrete Poisson equation","score":0.8634631633758545},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.7479479908943176},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6308605670928955},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5861619710922241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5796107053756714},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5549041032791138},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5296162366867065},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5136065483093262},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.48417097330093384},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48395636677742004},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4691691994667053},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.46867117285728455},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.43745899200439453},{"id":"https://openalex.org/keywords/uniqueness-theorem-for-poissons-equation","display_name":"Uniqueness theorem for Poisson's equation","score":0.414512038230896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4002980589866638},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.39970317482948303}],"concepts":[{"id":"https://openalex.org/C3062749","wikidata":"https://www.wikidata.org/wiki/Q5282040","display_name":"Discrete Poisson equation","level":4,"score":0.8634631633758545},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.7479479908943176},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6308605670928955},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5861619710922241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5796107053756714},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5549041032791138},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5296162366867065},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5136065483093262},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.48417097330093384},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48395636677742004},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4691691994667053},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.46867117285728455},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.43745899200439453},{"id":"https://openalex.org/C155940","wikidata":"https://www.wikidata.org/wiki/Q7886967","display_name":"Uniqueness theorem for Poisson's equation","level":3,"score":0.414512038230896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4002980589866638},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.39970317482948303},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/skima.2018.8631514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/skima.2018.8631514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 12th International Conference on Software, Knowledge, Information Management & Applications (SKIMA)","raw_type":"proceedings-article"},{"id":"pmh:oai:bradscholars.brad.ac.uk:10454/16874","is_oa":false,"landing_page_url":"http://hdl.handle.net/10454/16874","pdf_url":null,"source":{"id":"https://openalex.org/S4306401846","display_name":"Bradford Scholars (University of Bradford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139894009","host_organization_name":"University of Bradford","host_organization_lineage":["https://openalex.org/I139894009"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Accepted manuscript"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W970993559","https://openalex.org/W1537224157","https://openalex.org/W1624012152","https://openalex.org/W1626653188","https://openalex.org/W1968679263","https://openalex.org/W1999698136","https://openalex.org/W2001625034","https://openalex.org/W2008073424","https://openalex.org/W2036843998","https://openalex.org/W2043661645","https://openalex.org/W2048628065","https://openalex.org/W2049056913","https://openalex.org/W2070604790","https://openalex.org/W2071100441","https://openalex.org/W2076244416","https://openalex.org/W2398701309","https://openalex.org/W2475950994","https://openalex.org/W2747993927"],"related_works":["https://openalex.org/W3202944580","https://openalex.org/W4249311546","https://openalex.org/W2168023785","https://openalex.org/W2018422855","https://openalex.org/W1983307414","https://openalex.org/W1970825884","https://openalex.org/W2267515855","https://openalex.org/W1978208694","https://openalex.org/W2198830956","https://openalex.org/W2289223614"],"abstract_inverted_index":{"The":[0],"Poisson's":[1,37,61,157,190],"equation":[2,38,62,130,158],"is":[3,39,53,81,97,181],"an":[4],"essential":[5],"entity":[6],"of":[7,14,20,59,71,128,139,155,164,188],"applied":[8,111],"mathematics":[9],"for":[10,35,89],"modelling":[11],"many":[12,79,113],"phenomena":[13],"importance.":[15],"They":[16],"include":[17],"the":[18,36,60,72,84,100,126,129,142,146,152,156,189],"theory":[19],"gravitation,":[21],"electromagnetism,":[22],"fluid":[23],"flows":[24],"and":[25],"geometric":[26],"design.":[27],"In":[28,46],"this":[29,47],"regard,":[30],"finding":[31],"efficient":[32,118],"solution":[33,127],"methods":[34],"a":[40,116,122,161],"significant":[41],"problem":[42],"that":[43,170],"requires":[44],"addressing.":[45],"paper,":[48],"we":[49,106,168],"show":[50,169],"how":[51],"it":[52],"possible":[54],"to":[55,64,83,120,125,160,175,184],"generate":[56,185],"approximate":[57,186],"solutions":[58,143,187],"subject":[63,159],"various":[65],"boundary":[66,165],"conditions.":[67,166],"We":[68,133],"make":[69],"use":[70],"discrete":[73],"finite":[74,86],"difference":[75,87],"operator,":[76],"which,":[77,104],"in":[78,115],"ways,":[80],"similar":[82],"standard":[85],"method":[88,136],"numerically":[90],"solving":[91],"partial":[92],"differential":[93],"equations.":[94],"Our":[95],"approach":[96],"based":[98],"upon":[99],"Laplacian":[101],"averaging":[102],"operator":[103],"as":[105,149,151],"show,":[107],"can":[108],"be":[109],"elegantly":[110],"over":[112],"folds":[114],"computationally":[117,178],"manner":[119],"obtain":[121],"close":[123],"approximation":[124],"at":[131],"hand.":[132],"compare":[134],"our":[135,171],"by":[137],"way":[138],"examples":[140],"with":[141],"arising":[144],"from":[145],"analytic":[147],"variants":[148,154],"well":[150],"numerical":[153],"given":[162],"set":[163],"Thus,":[167],"method,":[172],"though":[173],"simple":[174],"implement":[176],"yet":[177],"very":[179],"efficient,":[180],"powerful":[182],"enough":[183],"equation.":[191]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}