{"id":"https://openalex.org/W3036108179","doi":"https://doi.org/10.1080/00207160.2020.1786541","title":"Error estimates of exponential wave integrator sine pseudospectral method for Schr\u00f6dinger\u2013Boussinesq system","display_name":"Error estimates of exponential wave integrator sine pseudospectral method for Schr\u00f6dinger\u2013Boussinesq system","publication_year":2020,"publication_date":"2020-06-23","ids":{"openalex":"https://openalex.org/W3036108179","doi":"https://doi.org/10.1080/00207160.2020.1786541","mag":"3036108179"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1786541","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1786541","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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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/A5006442707","display_name":"Feng Liao","orcid":"https://orcid.org/0000-0003-2457-4458"},"institutions":[{"id":"https://openalex.org/I21741975","display_name":"Suzhou University of Technology","ror":"https://ror.org/05g6ben79","country_code":"CN","type":"education","lineage":["https://openalex.org/I21741975"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feng Liao","raw_affiliation_strings":["School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-2457-4458","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, People's Republic of China","institution_ids":["https://openalex.org/I21741975"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111855192","display_name":"Luming Zhang","orcid":"https://orcid.org/0009-0007-0596-3294"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luming Zhang","raw_affiliation_strings":["College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006442707"],"corresponding_institution_ids":["https://openalex.org/I21741975"],"apc_list":null,"apc_paid":null,"fwci":0.5483,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60584704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"98","issue":"4","first_page":"807","last_page":"828"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"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":1.0,"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/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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7837661504745483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7157607674598694},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6880602240562439},{"id":"https://openalex.org/keywords/gauss-pseudospectral-method","display_name":"Gauss pseudospectral method","score":0.6473389863967896},{"id":"https://openalex.org/keywords/pseudo-spectral-method","display_name":"Pseudo-spectral method","score":0.6063461899757385},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5727652311325073},{"id":"https://openalex.org/keywords/pseudospectral-optimal-control","display_name":"Pseudospectral optimal control","score":0.5650331974029541},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.532581090927124},{"id":"https://openalex.org/keywords/sine-wave","display_name":"Sine wave","score":0.5279673337936401},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.4612393081188202},{"id":"https://openalex.org/keywords/exponential-integrator","display_name":"Exponential integrator","score":0.43999430537223816},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4375453591346741},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1415034532546997},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.14056190848350525},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.10828456282615662},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10696446895599365},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.07443901896476746}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7837661504745483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7157607674598694},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6880602240562439},{"id":"https://openalex.org/C71026131","wikidata":"https://www.wikidata.org/wiki/Q5527825","display_name":"Gauss pseudospectral method","level":5,"score":0.6473389863967896},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.6063461899757385},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5727652311325073},{"id":"https://openalex.org/C154304650","wikidata":"https://www.wikidata.org/wiki/Q7255577","display_name":"Pseudospectral optimal control","level":5,"score":0.5650331974029541},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.532581090927124},{"id":"https://openalex.org/C66907618","wikidata":"https://www.wikidata.org/wiki/Q207527","display_name":"Sine wave","level":3,"score":0.5279673337936401},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.4612393081188202},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.43999430537223816},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4375453591346741},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1415034532546997},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.14056190848350525},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.10828456282615662},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10696446895599365},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.07443901896476746},{"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/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1786541","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1786541","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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.5899999737739563}],"awards":[{"id":"https://openalex.org/G7045782089","display_name":null,"funder_award_id":"11571181","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1192781487","https://openalex.org/W1866397819","https://openalex.org/W1964678071","https://openalex.org/W1964702406","https://openalex.org/W1966068952","https://openalex.org/W1983196542","https://openalex.org/W1990853264","https://openalex.org/W1991352853","https://openalex.org/W2016904860","https://openalex.org/W2019916115","https://openalex.org/W2028660875","https://openalex.org/W2033565501","https://openalex.org/W2036516029","https://openalex.org/W2041238496","https://openalex.org/W2060027644","https://openalex.org/W2064726339","https://openalex.org/W2084382263","https://openalex.org/W2136750196","https://openalex.org/W2155325179","https://openalex.org/W2346927266","https://openalex.org/W2347163358","https://openalex.org/W2515552738","https://openalex.org/W2609298546","https://openalex.org/W2705841306","https://openalex.org/W2783035105","https://openalex.org/W3102994102","https://openalex.org/W4253937035"],"related_works":["https://openalex.org/W2550657075","https://openalex.org/W1512809069","https://openalex.org/W2761671048","https://openalex.org/W2357738898","https://openalex.org/W2029764875","https://openalex.org/W2281601070","https://openalex.org/W2143234151","https://openalex.org/W2356744059","https://openalex.org/W1974501530","https://openalex.org/W4387187495"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"an":[3],"exponential":[4,36],"wave":[5,37],"integrator":[6,38],"sine":[7,28,56],"pseudospectral":[8,29],"method":[9,21,77],"is":[10,22,47,61,78],"formulated":[11],"and":[12,50,59,67,81,90],"analysed":[13],"for":[14,31,39],"discretizing":[15],"the":[16,25,75],"coupled":[17],"Schr\u00f6dinger\u2013Boussinesq":[18],"system.":[19],"Our":[20],"based":[23],"on":[24],"utilizations":[26],"of":[27,62,74],"discretization":[30],"spatial":[32],"derivatives":[33,41],"followed":[34],"by":[35],"temporal":[40],"in":[42,65,70],"phase":[43],"space.":[44],"The":[45,94],"scheme":[46],"fully":[48],"explicit":[49],"very":[51],"efficient":[52],"due":[53],"to":[54,99],"discrete":[55,88],"transform":[57],"(DST),":[58],"it":[60],"spectral":[63],"accuracy":[64,69],"space":[66],"second-order":[68],"time.":[71],"Numerical":[72],"analysis":[73],"proposed":[76],"carried":[79],"out":[80],"rigorous":[82],"error":[83],"estimates":[84],"are":[85,97],"established":[86],"via":[87],"energy":[89],"induction":[91],"argument":[92],"method.":[93],"numerical":[95],"results":[96],"reported":[98],"verify":[100],"our":[101],"theoretical":[102],"analysis.":[103]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
