{"id":"https://openalex.org/W2130575108","doi":"https://doi.org/10.1177/003754978704900404","title":"A Prolog-based expert system for modeling with partial differential equations","display_name":"A Prolog-based expert system for modeling with partial differential equations","publication_year":1987,"publication_date":"1987-10-01","ids":{"openalex":"https://openalex.org/W2130575108","doi":"https://doi.org/10.1177/003754978704900404","mag":"2130575108"},"language":"en","primary_location":{"id":"doi:10.1177/003754978704900404","is_oa":false,"landing_page_url":"https://doi.org/10.1177/003754978704900404","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","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/A5033727228","display_name":"Mark F. Russo","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark F. Russo","raw_affiliation_strings":["Department of Chemical and Biochemical Engineering and CAIP Center Rutgers University Piscataway, New Jersey 08854"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical and Biochemical Engineering and CAIP Center Rutgers University Piscataway, New Jersey 08854","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014531117","display_name":"Richard L. Peskin","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard L. Peskin","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering and CAIP Center Rutgers University Piscataway, New Jersey 08854"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering and CAIP Center Rutgers University Piscataway, New Jersey 08854","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089208722","display_name":"A. D. Kowalski","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Daniel Kowalski","raw_affiliation_strings":["Programming Logic Systems 31 Crescent Drive Milford, Connecticut 06460"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Programming Logic Systems 31 Crescent Drive Milford, Connecticut 06460","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2751,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.95025447,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"4","first_page":"150","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9329000115394592,"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"}},"topics":[{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9329000115394592,"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/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9236000180244446,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9067999720573425,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/prolog","display_name":"Prolog","score":0.7599538564682007},{"id":"https://openalex.org/keywords/executable","display_name":"Executable","score":0.6582278609275818},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6267845034599304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6204028725624084},{"id":"https://openalex.org/keywords/expert-system","display_name":"Expert system","score":0.5589419007301331},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.47084471583366394},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.470700740814209},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45973291993141174},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.43503010272979736},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4216962456703186},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36714109778404236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3407304584980011},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3388890027999878},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3217355012893677},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23464545607566833},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15752550959587097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12183639407157898}],"concepts":[{"id":"https://openalex.org/C81721847","wikidata":"https://www.wikidata.org/wiki/Q163468","display_name":"Prolog","level":2,"score":0.7599538564682007},{"id":"https://openalex.org/C160145156","wikidata":"https://www.wikidata.org/wiki/Q778586","display_name":"Executable","level":2,"score":0.6582278609275818},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6267845034599304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6204028725624084},{"id":"https://openalex.org/C58328972","wikidata":"https://www.wikidata.org/wiki/Q184609","display_name":"Expert system","level":2,"score":0.5589419007301331},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.47084471583366394},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.470700740814209},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45973291993141174},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43503010272979736},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4216962456703186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36714109778404236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3407304584980011},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3388890027999878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3217355012893677},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23464545607566833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15752550959587097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12183639407157898}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/003754978704900404","is_oa":false,"landing_page_url":"https://doi.org/10.1177/003754978704900404","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1589047548","https://openalex.org/W1654733076","https://openalex.org/W1822842400","https://openalex.org/W2027671672","https://openalex.org/W2045607894","https://openalex.org/W2484057126","https://openalex.org/W7029847322"],"related_works":["https://openalex.org/W2350278424","https://openalex.org/W2071432835","https://openalex.org/W4234371507","https://openalex.org/W4299534542","https://openalex.org/W1628824497","https://openalex.org/W4239401009","https://openalex.org/W2053441600","https://openalex.org/W1496477730","https://openalex.org/W4327863099","https://openalex.org/W4313330514"],"abstract_inverted_index":{"Initial":[0],"results":[1,159],"are":[2,120,160,177],"presented":[3],"from":[4,172],"a":[5,73,190,210,216],"project":[6],"to":[7,66,83,187,215],"develop":[8],"intelligent":[9],"expert":[10,38,135],"system":[11,39,87,136],"tools":[12],"for":[13,96,107,137,194,204,213],"the":[14,35,37,46,55,92,123,134,158,173],"construction":[15],"and":[16,49,117,145,157,163],"execution":[17,50],"of":[18,34,51,76,81,90,125,150],"com":[19],"plex":[20],"mathematical":[21],"models":[22,67],"which":[23,42],"employ":[24],"partial":[25,78],"differential":[26,79],"equations.":[27],"This":[28],"paper":[29],"reports":[30],"on":[31],"that":[32],"portion":[33],"system,":[36],"front":[40],"end,":[41],"is":[43,64,88,131,153],"concerned":[44],"with":[45,115,181],"represen":[47],"tation":[48],"meta-level":[52],"knowledge":[53],"about":[54,104],"model":[56,95,130],"building":[57],"process":[58],"itself.":[59],"The":[60,86,111,128,197],"current":[61],"problem":[62],"domain":[63],"restricted":[65],"involving":[68],"linear":[69],"as":[70,72,99,101,140,142],"well":[71,100,141],"limited":[74],"class":[75],"nonlinear":[77],"equations":[80],"up":[82],"second":[84],"order.":[85],"capable":[89],"examining":[91],"user's":[93],"input":[94,129],"inconsisten":[97],"cies":[98],"making":[102],"judgments":[103],"suitable":[105,212],"algorithms":[106],"stable":[108],"numerical":[109,195],"solutions.":[110],"symbolic":[112],"equations,":[113],"along":[114],"boundary":[116,144],"initial":[118,146],"conditions,":[119],"represented":[121],"in":[122],"form":[124,211],"Prolog":[126,170],"clauses.":[127],"analyzed":[132],"by":[133],"equation":[138,151],"type":[139],"appropriate":[143,183],"conditions.":[147],"Discrete":[148],"approximation":[149,175],"terms":[152],"perform":[154],"ed":[155],"symbolically":[156],"then":[161,178,200],"expanded":[162],"simplified":[164],"into":[165,209],"an":[166,182],"efficiently":[167],"computable":[168],"form.":[169],"clauses":[171],"discrete":[174],"phase":[176],"automatically":[179],"combined":[180],"solution":[184],"stepping":[185],"scheme":[186],"arrive":[188],"at":[189],"fully":[191],"executable":[192],"algorithm":[193,198],"solution.":[196],"may":[199],"be":[201],"executed":[202],"serially":[203],"testing":[205],"or":[206],"further":[207],"processed":[208],"passing":[214],"separate":[217],"high-speed":[218],"processor.":[219]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}