{"id":"https://openalex.org/W2108538926","doi":"https://doi.org/10.1080/00207169608804530","title":"A class of generalized trapezoidal formulas for the numerical integration of","display_name":"A class of generalized trapezoidal formulas for the numerical integration of","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2108538926","doi":"https://doi.org/10.1080/00207169608804530","mag":"2108538926"},"language":"en","primary_location":{"id":"doi:10.1080/00207169608804530","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804530","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/A5108385110","display_name":"M. M. Chawla","orcid":null},"institutions":[{"id":"https://openalex.org/I36721946","display_name":"Kuwait University","ror":"https://ror.org/021e5j056","country_code":"KW","type":"education","lineage":["https://openalex.org/I36721946"]}],"countries":["KW"],"is_corresponding":true,"raw_author_name":"M. M. Chawla","raw_affiliation_strings":["Department of Mathematics & Computer Science , Kuwait University , P.O. Box 5969, Safat, 13060,  Kuwait","Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat 13060, Kuwait#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science , Kuwait University , P.O. Box 5969, Safat, 13060,  Kuwait","institution_ids":["https://openalex.org/I36721946"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat 13060, Kuwait#TAB#","institution_ids":["https://openalex.org/I36721946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078267508","display_name":"M. A. Al-Zanaidi","orcid":null},"institutions":[{"id":"https://openalex.org/I36721946","display_name":"Kuwait University","ror":"https://ror.org/021e5j056","country_code":"KW","type":"education","lineage":["https://openalex.org/I36721946"]}],"countries":["KW"],"is_corresponding":false,"raw_author_name":"M.A. Al-Zanaidi:","raw_affiliation_strings":["Department of Mathematics & Computer Science , Kuwait University , P.O. Box 5969, Safat, 13060,  Kuwait","Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat 13060, Kuwait#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science , Kuwait University , P.O. Box 5969, Safat, 13060,  Kuwait","institution_ids":["https://openalex.org/I36721946"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat 13060, Kuwait#TAB#","institution_ids":["https://openalex.org/I36721946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100768979","display_name":"David J. Evans","orcid":"https://orcid.org/0000-0002-6290-2849"},"institutions":[{"id":"https://openalex.org/I36721946","display_name":"Kuwait University","ror":"https://ror.org/021e5j056","country_code":"KW","type":"education","lineage":["https://openalex.org/I36721946"]}],"countries":["KW"],"is_corresponding":false,"raw_author_name":"D.J. Evans","raw_affiliation_strings":["Department of Mathematics & Computer Science , Kuwait University , P.O. Box 5969, Safat, 13060,  Kuwait","Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat 13060, Kuwait#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science , Kuwait University , P.O. Box 5969, Safat, 13060,  Kuwait","institution_ids":["https://openalex.org/I36721946"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat 13060, Kuwait#TAB#","institution_ids":["https://openalex.org/I36721946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108385110"],"corresponding_institution_ids":["https://openalex.org/I36721946"],"apc_list":null,"apc_paid":null,"fwci":2.3493,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.89009948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"62","issue":"1-2","first_page":"131","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9944000244140625,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/mathematics","display_name":"Mathematics","score":0.9111136794090271},{"id":"https://openalex.org/keywords/trapezoidal-rule","display_name":"Trapezoidal rule","score":0.9053564071655273},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5468192100524902},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5303075313568115},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5104893445968628},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45125943422317505},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3770284652709961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36984682083129883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06282714009284973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9111136794090271},{"id":"https://openalex.org/C78727","wikidata":"https://www.wikidata.org/wiki/Q833293","display_name":"Trapezoidal rule","level":3,"score":0.9053564071655273},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5468192100524902},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5303075313568115},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5104893445968628},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45125943422317505},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3770284652709961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36984682083129883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06282714009284973},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169608804530","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804530","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1979569732","https://openalex.org/W2000830930","https://openalex.org/W2054267035","https://openalex.org/W2073568433","https://openalex.org/W2158493855","https://openalex.org/W2161053818","https://openalex.org/W3112147989"],"related_works":["https://openalex.org/W3131993578","https://openalex.org/W2913782054","https://openalex.org/W1993779486","https://openalex.org/W2254358188","https://openalex.org/W2074326410","https://openalex.org/W4236286632","https://openalex.org/W2403365997","https://openalex.org/W4233946041","https://openalex.org/W59267953","https://openalex.org/W3119290153"],"abstract_inverted_index":{"The":[0],"classical":[1],"arithmetic":[2,20],"mean":[3,21],"(AM)":[4],"trapezoidal":[5,23,39,49],"formula":[6,24],"is":[7,26,71],"known":[8],"to":[9,61,73],"be":[10],"A-stable.":[11],"Recently,":[12],"Chawla":[13],"and":[14,47,69,85],"Al-Zanaidi":[15],"[1]":[16],"described":[17],"a":[18,34],"modified":[19],"(MAM)":[22],"which":[25,42],"L-stable.":[27],"In":[28],"the":[29,45,79,89,94],"present":[30],"paper":[31],"we":[32],"introduce":[33],"one-parameter":[35],"family":[36],"of":[37,78,91,93],"generalized":[38],"formulas":[40,50,87],"(GTFs),":[41],"include":[43],"both":[44],"AM":[46,84],"MAM":[48,86],"as":[51],"special":[52],"cases.":[53],"A":[54],"GTF":[55],"can":[56],"switch":[57],"from":[58],"an":[59,62],"A-stable":[60],"L-stable":[63],"method":[64],"depending":[65],"on":[66],"parameter":[67,80],"values,":[68,81],"it":[70],"shown":[72],"perform,":[74],"for":[75,88],"certain":[76],"selections":[77],"better":[82],"than":[83],"integration":[90],"examples":[92],"stiff":[95],"systems":[96],"considered.":[97]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}