{"id":"https://openalex.org/W1973549424","doi":"https://doi.org/10.1090/s0025-5718-03-01521-7","title":"Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip","display_name":"Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip","publication_year":2003,"publication_date":"2003-06-19","ids":{"openalex":"https://openalex.org/W1973549424","doi":"https://doi.org/10.1090/s0025-5718-03-01521-7","mag":"1973549424"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-03-01521-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01521-7","pdf_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01521-7/S0025-5718-03-01521-7.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":null,"license_id":null,"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":"bronze","oa_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01521-7/S0025-5718-03-01521-7.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":true,"raw_author_name":"Ben-yu Guo","raw_affiliation_strings":["Shanghai E-Institute for Scientific Computation, Department of Mathematics, Shanghai Normal University, Shanghai, 200234, Peoples Republic of China","Shanghai E-Institute for Scientific Computation, Department of Mathematics, Shanghai Normal University, Shanghai, 200234, Peoples Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Shanghai E-Institute for Scientific Computation, Department of Mathematics, Shanghai Normal University, Shanghai, 200234, Peoples Republic of China","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Shanghai E-Institute for Scientific Computation, Department of Mathematics, Shanghai Normal University, Shanghai, 200234, Peoples Republic of China#TAB#","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048097257","display_name":"Chenglong Xu","orcid":"https://orcid.org/0000-0002-2889-0514"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng-long Xu","raw_affiliation_strings":["Department of Applied Mathematics, Tongji University, Shanghai, 200092, Peoples Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Tongji University, Shanghai, 200092, Peoples Republic of China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112630309"],"corresponding_institution_ids":["https://openalex.org/I21945476"],"apc_list":null,"apc_paid":null,"fwci":1.6267,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.85671039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"73","issue":"245","first_page":"95","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991999864578247,"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":0.9991999864578247,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.8795559406280518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8714923858642578},{"id":"https://openalex.org/keywords/pseudospectral-optimal-control","display_name":"Pseudospectral optimal control","score":0.821812093257904},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.7451211810112},{"id":"https://openalex.org/keywords/gauss-pseudospectral-method","display_name":"Gauss pseudospectral method","score":0.6032080054283142},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5934383273124695},{"id":"https://openalex.org/keywords/chebyshev-pseudospectral-method","display_name":"Chebyshev pseudospectral method","score":0.5913584232330322},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5491297245025635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5460432171821594},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.5239418148994446},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4817900061607361},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4674307703971863},{"id":"https://openalex.org/keywords/legendre-function","display_name":"Legendre function","score":0.46139761805534363},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.4469425678253174},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4383500814437866},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4127802550792694},{"id":"https://openalex.org/keywords/pseudo-spectral-method","display_name":"Pseudo-spectral method","score":0.23234140872955322},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.14135190844535828},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13789108395576477},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.10079652070999146},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.08767607808113098},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08611798286437988},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0807599425315857},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.06563141942024231},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.05711483955383301}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8795559406280518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8714923858642578},{"id":"https://openalex.org/C154304650","wikidata":"https://www.wikidata.org/wiki/Q7255577","display_name":"Pseudospectral optimal control","level":5,"score":0.821812093257904},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.7451211810112},{"id":"https://openalex.org/C71026131","wikidata":"https://www.wikidata.org/wiki/Q5527825","display_name":"Gauss pseudospectral method","level":5,"score":0.6032080054283142},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5934383273124695},{"id":"https://openalex.org/C122107654","wikidata":"https://www.wikidata.org/wiki/Q5089017","display_name":"Chebyshev pseudospectral method","level":5,"score":0.5913584232330322},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5491297245025635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5460432171821594},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.5239418148994446},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4817900061607361},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4674307703971863},{"id":"https://openalex.org/C153262748","wikidata":"https://www.wikidata.org/wiki/Q17098449","display_name":"Legendre function","level":3,"score":0.46139761805534363},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.4469425678253174},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4383500814437866},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4127802550792694},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.23234140872955322},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.14135190844535828},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13789108395576477},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.10079652070999146},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.08767607808113098},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08611798286437988},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0807599425315857},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.06563141942024231},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.05711483955383301},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.0},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-03-01521-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01521-7","pdf_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01521-7/S0025-5718-03-01521-7.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.106.2569","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.2569","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/2004-73-245/S0025-5718-03-01521-7/S0025-5718-03-01521-7.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.3048","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.3048","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/journals/mcom/2004-73-245/S0025-5718-03-01521-7/S0025-5718-03-01521-7.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-03-01521-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01521-7","pdf_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01521-7/S0025-5718-03-01521-7.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1973549424.pdf","grobid_xml":"https://content.openalex.org/works/W1973549424.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W35358014","https://openalex.org/W1597209545","https://openalex.org/W1975666830","https://openalex.org/W1977165466","https://openalex.org/W1985849492","https://openalex.org/W1998936981","https://openalex.org/W2000100391","https://openalex.org/W2007254031","https://openalex.org/W2013282326","https://openalex.org/W2020397521","https://openalex.org/W2065002736","https://openalex.org/W2065378774","https://openalex.org/W2073732659","https://openalex.org/W2076582418","https://openalex.org/W2314359380","https://openalex.org/W2324452751","https://openalex.org/W2567485569","https://openalex.org/W3038165843","https://openalex.org/W3091814460","https://openalex.org/W3146700961","https://openalex.org/W4249558853","https://openalex.org/W4301709274","https://openalex.org/W4302819252"],"related_works":["https://openalex.org/W2550657075","https://openalex.org/W2281601070","https://openalex.org/W2761671048","https://openalex.org/W2204706735","https://openalex.org/W2379283228","https://openalex.org/W2373120998","https://openalex.org/W2083272400","https://openalex.org/W1985592473","https://openalex.org/W2735988030","https://openalex.org/W2796347650"],"abstract_inverted_index":{"In":[0],"this":[1,45],"paper,":[2],"we":[3],"investigate":[4],"the":[5,42],"mixed":[6,19],"Laguerre-Legendre":[7,20],"interpolation":[8],"approximation":[9,14],"and":[10,35],"its":[11],"application.":[12],"Some":[13],"results":[15,40],"are":[16,37],"established.":[17],"A":[18],"pseudospectral":[21],"scheme":[22],"is":[23],"constructed":[24],"for":[25],"incompressible":[26],"fluid":[27],"flow":[28],"in":[29],"an":[30],"infinite":[31],"strip.":[32],"Its":[33],"stability":[34],"convergence":[36],"proved.":[38],"Numerical":[39],"show":[41],"efficiency":[43],"of":[44],"new":[46],"approach.":[47]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
