{"id":"https://openalex.org/W2026067503","doi":"https://doi.org/10.1090/s0025-5718-07-02035-2","title":"Integration processes of ordinary differential equations based on Laguerre-Radau interpolations","display_name":"Integration processes of ordinary differential equations based on Laguerre-Radau interpolations","publication_year":2007,"publication_date":"2007-09-13","ids":{"openalex":"https://openalex.org/W2026067503","doi":"https://doi.org/10.1090/s0025-5718-07-02035-2","mag":"2026067503"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-07-02035-2","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-07-02035-2","pdf_url":"https://www.ams.org/mcom/2008-77-261/S0025-5718-07-02035-2/S0025-5718-07-02035-2.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2008-77-261/S0025-5718-07-02035-2/S0025-5718-07-02035-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112630309","display_name":"Ben\u2010yu Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ben-Yu Guo","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u00e2\u0080\u0099s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China, Division of Computational Science of E-institute of Shanghai Universities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u00e2\u0080\u0099s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100369600","display_name":"Zhongqing Wang","orcid":"https://orcid.org/0000-0002-3281-5322"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong-Qing Wang","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u00e2\u0080\u0099s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China, Division of Computational Science of E-institute of Shanghai Universities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u00e2\u0080\u0099s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100828217","display_name":"Hongjiong Tian","orcid":null},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-Jiong Tian","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u00e2\u0080\u0099s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China, Division of Computational Science of E-institute of Shanghai Universities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u00e2\u0080\u0099s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China, Division of Computational Science of E-institute of Shanghai Universities","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112395743","display_name":"Li-Lian Wang","orcid":"https://orcid.org/0000-0002-2735-9019"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Li-Lian Wang","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 639798","Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 639798"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 639798","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 639798","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5442,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.88191365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"77","issue":"261","first_page":"181","last_page":"199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.8688912391662598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8667897582054138},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7853420376777649},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.717151939868927},{"id":"https://openalex.org/keywords/laguerres-method","display_name":"Laguerre's method","score":0.5989363789558411},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5899191498756409},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.48690974712371826},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4818090796470642},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3948878049850464},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.35794639587402344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3469001054763794},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3245595693588257},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.17213720083236694}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.8688912391662598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8667897582054138},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7853420376777649},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.717151939868927},{"id":"https://openalex.org/C43475892","wikidata":"https://www.wikidata.org/wiki/Q1171964","display_name":"Laguerre's method","level":4,"score":0.5989363789558411},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5899191498756409},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.48690974712371826},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4818090796470642},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3948878049850464},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.35794639587402344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3469001054763794},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3245595693588257},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.17213720083236694},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-07-02035-2","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-07-02035-2","pdf_url":"https://www.ams.org/mcom/2008-77-261/S0025-5718-07-02035-2/S0025-5718-07-02035-2.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.6035","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.6035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2008-77-261/S0025-5718-07-02035-2/S0025-5718-07-02035-2.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-07-02035-2","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-07-02035-2","pdf_url":"https://www.ams.org/mcom/2008-77-261/S0025-5718-07-02035-2/S0025-5718-07-02035-2.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2259390943","display_name":null,"funder_award_id":"E03004","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"},{"id":"https://openalex.org/G3043324134","display_name":null,"funder_award_id":"N.10771142","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3054894371","display_name":null,"funder_award_id":"E03004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5381148494","display_name":null,"funder_award_id":"T0401","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335766","display_name":"Shanghai Leading Academic Discipline Project","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2026067503.pdf","grobid_xml":"https://content.openalex.org/works/W2026067503.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W39086224","https://openalex.org/W1509923322","https://openalex.org/W1535429593","https://openalex.org/W1544770838","https://openalex.org/W1600945564","https://openalex.org/W1967820494","https://openalex.org/W1971743999","https://openalex.org/W1973549424","https://openalex.org/W1980367064","https://openalex.org/W1989955731","https://openalex.org/W1995504856","https://openalex.org/W2007254031","https://openalex.org/W2008007187","https://openalex.org/W2014229391","https://openalex.org/W2021084174","https://openalex.org/W2023049662","https://openalex.org/W2028522134","https://openalex.org/W2042388195","https://openalex.org/W2047450102","https://openalex.org/W2065002736","https://openalex.org/W2065522541","https://openalex.org/W2072309170","https://openalex.org/W2083915368","https://openalex.org/W2084367325","https://openalex.org/W2133304313","https://openalex.org/W2259868474","https://openalex.org/W2441183164","https://openalex.org/W2499662517","https://openalex.org/W2947056241","https://openalex.org/W2981569720","https://openalex.org/W3141151088","https://openalex.org/W3146700961","https://openalex.org/W3209416867","https://openalex.org/W4237532150","https://openalex.org/W4252603790"],"related_works":["https://openalex.org/W1515881615","https://openalex.org/W2038558186","https://openalex.org/W4384817913","https://openalex.org/W4286111066","https://openalex.org/W3050963079","https://openalex.org/W1493431396","https://openalex.org/W2471338065","https://openalex.org/W2885088085","https://openalex.org/W2099507088","https://openalex.org/W2273643234"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"two":[5],"integration":[6],"processes":[7],"for":[8,21],"ordinary":[9],"differential":[10],"equations":[11],"based":[12],"on":[13],"modified":[14],"Laguerre-Radau":[15],"interpolations,":[16],"which":[17],"are":[18,34],"very":[19],"efficient":[20],"long-time":[22],"numerical":[23],"simulations":[24],"of":[25,31,42],"dynamical":[26],"systems.":[27],"The":[28],"global":[29],"convergence":[30],"proposed":[32],"algorithms":[33],"proved.":[35],"Numerical":[36],"results":[37],"demonstrate":[38],"the":[39],"spectral":[40],"accuracy":[41],"these":[43],"new":[44],"approaches":[45],"and":[46],"coincide":[47],"well":[48],"with":[49],"theoretical":[50],"analysis.":[51]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
