{"id":"https://openalex.org/W3159834760","doi":"https://doi.org/10.1007/s11075-020-01061-x","title":"Relationship between time-instant number and precision of ZeaD formulas with proofs","display_name":"Relationship between time-instant number and precision of ZeaD formulas with proofs","publication_year":2021,"publication_date":"2021-05-01","ids":{"openalex":"https://openalex.org/W3159834760","doi":"https://doi.org/10.1007/s11075-020-01061-x","mag":"3159834760"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-01061-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01061-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5108056075","display_name":"Min Yang","orcid":"https://orcid.org/0000-0003-3397-2300"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Yang","raw_affiliation_strings":["School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People\u2019s Republic of China","School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053064477","display_name":"Yunong Zhang","orcid":"https://orcid.org/0000-0002-2228-0395"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunong Zhang","raw_affiliation_strings":["School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, 510006, People\u2019s Republic of China","School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, 510006, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, 510006, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, 510006, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056953478","display_name":"Haifeng Hu","orcid":"https://orcid.org/0000-0002-4884-323X"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haifeng Hu","raw_affiliation_strings":["School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People\u2019s Republic of China","School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-4884-323X","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, 510006, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056953478"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.4718,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78544352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"88","issue":"2","first_page":"883","last_page":"902"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9984999895095825,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9984999895095825,"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":0.9936000108718872,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9911999702453613,"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/instant","display_name":"Instant","score":0.910758376121521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8154547810554504},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6693359017372131},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5480213761329651},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.5250151753425598},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5223773121833801},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.504247784614563},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.4674326777458191},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4576945900917053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3222803473472595},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22346526384353638},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1611717939376831},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09638741612434387},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07923445105552673}],"concepts":[{"id":"https://openalex.org/C2779432360","wikidata":"https://www.wikidata.org/wiki/Q16963779","display_name":"Instant","level":2,"score":0.910758376121521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8154547810554504},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6693359017372131},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5480213761329651},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.5250151753425598},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5223773121833801},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.504247784614563},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.4674326777458191},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4576945900917053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3222803473472595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22346526384353638},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1611717939376831},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09638741612434387},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07923445105552673},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-020-01061-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01061-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4228998522","display_name":null,"funder_award_id":"2017A030311029","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G5678804896","display_name":null,"funder_award_id":"61673402","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6387825162","display_name":null,"funder_award_id":"61976230","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W1504986959","https://openalex.org/W1582137406","https://openalex.org/W1766888123","https://openalex.org/W1971947347","https://openalex.org/W1983152073","https://openalex.org/W1999672677","https://openalex.org/W2028828529","https://openalex.org/W2075218118","https://openalex.org/W2076420009","https://openalex.org/W2097139389","https://openalex.org/W2192374652","https://openalex.org/W2233885033","https://openalex.org/W2298552880","https://openalex.org/W2345244325","https://openalex.org/W2405909743","https://openalex.org/W2463012321","https://openalex.org/W2482430271","https://openalex.org/W2515014135","https://openalex.org/W2598417513","https://openalex.org/W2738609372","https://openalex.org/W2766113111","https://openalex.org/W2791809365","https://openalex.org/W2793464405","https://openalex.org/W2794096129","https://openalex.org/W2799602331","https://openalex.org/W2809515816","https://openalex.org/W2809770557","https://openalex.org/W2809883483","https://openalex.org/W2823265170","https://openalex.org/W2886497598","https://openalex.org/W2888123880","https://openalex.org/W2898406129","https://openalex.org/W2899417080","https://openalex.org/W2900351265","https://openalex.org/W2905412785","https://openalex.org/W2905448238","https://openalex.org/W2907491959","https://openalex.org/W2911835134","https://openalex.org/W2919009917","https://openalex.org/W2932346968","https://openalex.org/W2942682251","https://openalex.org/W2963331760","https://openalex.org/W2963694961","https://openalex.org/W2967918112","https://openalex.org/W2971039702","https://openalex.org/W2971047982","https://openalex.org/W2975370440","https://openalex.org/W2999919281","https://openalex.org/W3040943739","https://openalex.org/W3109938142"],"related_works":["https://openalex.org/W4310230578","https://openalex.org/W4226075649","https://openalex.org/W1922059553","https://openalex.org/W4238758668","https://openalex.org/W2314563283","https://openalex.org/W3047380045","https://openalex.org/W935100125","https://openalex.org/W2099061025","https://openalex.org/W2057411328","https://openalex.org/W572676071"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}