{"id":"https://openalex.org/W2035075280","doi":"https://doi.org/10.1080/00207160008805012","title":"Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations","display_name":"Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2035075280","doi":"https://doi.org/10.1080/00207160008805012","mag":"2035075280"},"language":"en","primary_location":{"id":"doi:10.1080/00207160008805012","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008805012","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/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":true,"raw_author_name":"Abdul Rahman Abdullah","raw_affiliation_strings":["Faculty of Information Science and Technology , National University of Malaysia , Bangi, Selangor, Malaysia"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Science and Technology , National University of Malaysia , Bangi, Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049301695","display_name":"Rio Hirowati Shariffudin","orcid":null},"institutions":[{"id":"https://openalex.org/I33849332","display_name":"University of Malaya","ror":"https://ror.org/00rzspn62","country_code":"MY","type":"education","lineage":["https://openalex.org/I33849332"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Rio Hirowati Shariffudin","raw_affiliation_strings":["Institute of Mathematical Sciences , University of Malaya , Kuala Lumpur, 50603, Malaysia","Institute of Mathematical Sciences , University of Malaya , Kuala Lumpur , 50603 , Malaysia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences , University of Malaya , Kuala Lumpur, 50603, Malaysia","institution_ids":["https://openalex.org/I33849332"]},{"raw_affiliation_string":"Institute of Mathematical Sciences , University of Malaya , Kuala Lumpur , 50603 , Malaysia","institution_ids":["https://openalex.org/I33849332"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109212380"],"corresponding_institution_ids":["https://openalex.org/I885383172"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16860465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"76","issue":"1","first_page":"105","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.813829779624939},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7673009634017944},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6162222623825073},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5646018981933594},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4767659306526184},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4244951605796814},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4208822250366211},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41009676456451416},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38852015137672424},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27090275287628174},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.09824082255363464}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.813829779624939},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7673009634017944},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6162222623825073},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5646018981933594},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4767659306526184},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4244951605796814},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4208822250366211},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41009676456451416},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38852015137672424},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27090275287628174},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.09824082255363464}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160008805012","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008805012","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1984716146","https://openalex.org/W1992208469","https://openalex.org/W2017307043","https://openalex.org/W2045244586","https://openalex.org/W2049072301","https://openalex.org/W2054466830","https://openalex.org/W2058459101","https://openalex.org/W2080956143","https://openalex.org/W2088953608","https://openalex.org/W2095036901","https://openalex.org/W2799004609","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W2391321755","https://openalex.org/W2896134808","https://openalex.org/W2949110394","https://openalex.org/W4211228991","https://openalex.org/W2353790329","https://openalex.org/W2754495451","https://openalex.org/W2279743781","https://openalex.org/W3019634500","https://openalex.org/W2003401862","https://openalex.org/W2360511714"],"abstract_inverted_index":{"Past":[0],"experiments":[1],"on":[2,23],"Hamiltonian":[3,21,45],"circuited":[4],"simulations":[5,77],"of":[6,11,19,26,36,53,56],"the":[7,12,17,20,34,51,54,66,95],"partial":[8],"differential":[9],"equation":[10],"Poisson":[13],"type":[14],"have":[15],"indicated":[16],"influences":[18],"circuits":[22],"algebraic":[24],"structures":[25],"coefficients":[27],"matrices.":[28],"The":[29,87],"need":[30],"to":[31,33,49],"tend":[32],"usage":[35],"finite":[37,84],"difference":[38,85],"schemes":[39],"is":[40,47],"also":[41],"observed.":[42],"A":[43],"certain":[44],"circuit":[46],"found":[48],"enable":[50],"decomposition":[52],"space":[55,67],"simulated":[57,96],"points":[58,97],"into":[59,73,100],"two":[60,102],"subspaces.":[61,75],"This":[62],"paper":[63],"reports":[64],"that":[65],"can":[68],"in":[69],"fact":[70],"be":[71],"separated":[72],"four":[74],"Numerical":[76],"are":[78,89,98],"carried":[79],"out":[80],"using":[81],"a":[82],"7-point":[83],"star.":[86],"results":[88],"compared":[90],"with":[91],"those":[92],"obtained":[93],"when":[94],"divided":[99],"only":[101],"disjoint":[103],"sets.":[104]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
