{"id":"https://openalex.org/W2001242868","doi":"https://doi.org/10.1145/2402536.2402574","title":"On experiences with PIL, an interpretive language, in an undergraduate numerical methods course","display_name":"On experiences with PIL, an interpretive language, in an undergraduate numerical methods course","publication_year":1967,"publication_date":"1967-01-01","ids":{"openalex":"https://openalex.org/W2001242868","doi":"https://doi.org/10.1145/2402536.2402574","mag":"2001242868"},"language":"en","primary_location":{"id":"doi:10.1145/2402536.2402574","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2402536.2402574","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symposium on Interactive Systems for Experimental Applied Mathematics on Proceedings of the Association for Computing Machinery Inc. Symposium -","raw_type":"proceedings-article"},"type":"conference-paper","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/A5018204101","display_name":"Joseph B. Muskat","orcid":null},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph B. Muskat","raw_affiliation_strings":["University of Pittsburgh, Pittsburgh, Pennsylvania","\u00a7\u00a7University of Pittsburgh, Pittsburgh, Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Pittsburgh, Pittsburgh, Pennsylvania","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"\u00a7\u00a7University of Pittsburgh, Pittsburgh, Pennsylvania","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102163654","display_name":"Francis E. Sullivan","orcid":null},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francis E. Sullivan","raw_affiliation_strings":["University of Pittsburgh, Pittsburgh, Pennsylvania","\u00a7\u00a7University of Pittsburgh, Pittsburgh, Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Pittsburgh, Pittsburgh, Pennsylvania","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"\u00a7\u00a7University of Pittsburgh, Pittsburgh, Pennsylvania","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029618627","display_name":"Paul R. Borman","orcid":null},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul R. Borman","raw_affiliation_strings":["University of Pittsburgh, Pittsburgh, Pennsylvania","\u00a7\u00a7University of Pittsburgh, Pittsburgh, Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Pittsburgh, Pittsburgh, Pennsylvania","institution_ids":["https://openalex.org/I170201317"]},{"raw_affiliation_string":"\u00a7\u00a7University of Pittsburgh, Pittsburgh, Pennsylvania","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I170201317"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05263158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"341","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.8834999799728394,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.8834999799728394,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.7785999774932861,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11875","display_name":"Statistics Education and Methodologies","score":0.7685999870300293,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.682993471622467},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6540458798408508},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.6088607311248779},{"id":"https://openalex.org/keywords/course","display_name":"Course (navigation)","score":0.578895092010498},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5732927918434143},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5111635327339172},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4755822420120239},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4554552435874939},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4237302243709564},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3669602870941162},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.36531782150268555},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36224424839019775},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3616744875907898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29904884099960327},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17175018787384033},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0935278832912445},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08619490265846252}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.682993471622467},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6540458798408508},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.6088607311248779},{"id":"https://openalex.org/C2777552389","wikidata":"https://www.wikidata.org/wiki/Q1962728","display_name":"Course (navigation)","level":2,"score":0.578895092010498},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5732927918434143},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5111635327339172},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4755822420120239},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4554552435874939},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4237302243709564},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3669602870941162},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.36531782150268555},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36224424839019775},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3616744875907898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29904884099960327},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17175018787384033},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0935278832912445},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08619490265846252},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2402536.2402574","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2402536.2402574","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symposium on Interactive Systems for Experimental Applied Mathematics on Proceedings of the Association for Computing Machinery Inc. Symposium -","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2263119459","https://openalex.org/W3131993578","https://openalex.org/W2005876858","https://openalex.org/W4234588361","https://openalex.org/W2293645281","https://openalex.org/W1970616601","https://openalex.org/W3080198597","https://openalex.org/W2374567876","https://openalex.org/W2288394291","https://openalex.org/W3036140763"],"abstract_inverted_index":{"The":[0],"University":[1],"of":[2,31,35],"Pittsburgh's":[3],"numerical":[4,16],"calculus":[5],"course":[6],"acquaints":[7],"students":[8],"with":[9],"various":[10],"algorithms":[11],"for":[12],"interpolation,":[13],"functional":[14],"approximation,":[15],"differentiation":[17],"and":[18,20,25,29,33],"integration,":[19],"solving":[21],"nonlinear":[22],"equations.":[23],"Computational":[24],"coding":[26],"efficiency,":[27],"regions":[28],"rates":[30],"convergence,":[32],"effects":[34],"errors":[36],"are":[37],"stressed.":[38]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}