{"id":"https://openalex.org/W2089866155","doi":"https://doi.org/10.1145/1476589.1476637","title":"Mathematics of continuous system simulations","display_name":"Mathematics of continuous system simulations","publication_year":1968,"publication_date":"1968-01-01","ids":{"openalex":"https://openalex.org/W2089866155","doi":"https://doi.org/10.1145/1476589.1476637","mag":"2089866155"},"language":"en","primary_location":{"id":"doi:10.1145/1476589.1476637","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1476589.1476637","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1476589.1476637","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the December 9-11, 1968, fall joint computer conference, part I on - AFIPS '68 (Fall, part I)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1476589.1476637","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002081616","display_name":"David H. Brandin","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David H. Brandin","raw_affiliation_strings":["Informatics Inc., Sherman Oaks, California"],"affiliations":[{"raw_affiliation_string":"Informatics Inc., Sherman Oaks, California","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002081616"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5058,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64576803,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"345","last_page":"345"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9905999898910522,"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":0.9905999898910522,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9703999757766724,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6392871141433716},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.5799694657325745},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5336666107177734},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5094776749610901},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4922732412815094},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.48991984128952026},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.45190492272377014},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.441017210483551},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4407259523868561},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27562224864959717},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.2145533263683319},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12681812047958374},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12351614236831665}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6392871141433716},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.5799694657325745},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5336666107177734},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5094776749610901},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4922732412815094},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48991984128952026},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.45190492272377014},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.441017210483551},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4407259523868561},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27562224864959717},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.2145533263683319},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12681812047958374},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12351614236831665},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1476589.1476637","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1476589.1476637","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1476589.1476637","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the December 9-11, 1968, fall joint computer conference, part I on - AFIPS '68 (Fall, part I)","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/1476589.1476637","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1476589.1476637","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1476589.1476637","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the December 9-11, 1968, fall joint computer conference, part I on - AFIPS '68 (Fall, part I)","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2089866155.pdf","grobid_xml":"https://content.openalex.org/works/W2089866155.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W135423513","https://openalex.org/W1967974714","https://openalex.org/W2002491270","https://openalex.org/W2004874474","https://openalex.org/W2007576913","https://openalex.org/W2010181681","https://openalex.org/W2044375372","https://openalex.org/W2044983656","https://openalex.org/W2084970206","https://openalex.org/W2130205032"],"related_works":["https://openalex.org/W2263119459","https://openalex.org/W3131993578","https://openalex.org/W2374567876","https://openalex.org/W2288394291","https://openalex.org/W2005876858","https://openalex.org/W2293645281","https://openalex.org/W3036140763","https://openalex.org/W2913782054","https://openalex.org/W2033799224","https://openalex.org/W2360043435"],"abstract_inverted_index":{"The":[0,21],"purpose":[1,35],"of":[2,17,44,49],"this":[3],"paper":[4],"is":[5,24],"to":[6,15,47],"summarize":[7],"briefly":[8],"the":[9],"state-of-the-art":[10],"in":[11,29],"numerical":[12,26],"methods":[13,40],"applied":[14],"simulation":[16,31],"continuous":[18],"dynamic":[19],"systems.":[20],"principal":[22],"concern":[23],"with":[25],"techniques":[27,37],"encountered":[28],"general":[30],"problems.":[32],"Because":[33],"special":[34],"integration":[36],"and":[38],"approximation":[39],"which":[41],"reduce":[42],"systems":[43,48],"differential":[45],"equations":[46,51],"algebraic":[50],"are":[52,57],"not":[53],"commonly":[54],"employed,":[55],"they":[56],"discussed":[58],"only":[59],"briefly.":[60]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
