{"id":"https://openalex.org/W7124574492","doi":"https://doi.org/10.1007/s10915-026-03180-4","title":"Second Order Gauge-Transformed Exponential Integrators for gKdV Equations with Rough Data: Convergence and Application","display_name":"Second Order Gauge-Transformed Exponential Integrators for gKdV Equations with Rough Data: Convergence and Application","publication_year":2026,"publication_date":"2026-01-17","ids":{"openalex":"https://openalex.org/W7124574492","doi":"https://doi.org/10.1007/s10915-026-03180-4"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-026-03180-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-026-03180-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5123259447","display_name":"Bing Li","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]},{"id":"https://openalex.org/I31595395","display_name":"Chengdu University of Technology","ror":"https://ror.org/05pejbw21","country_code":"CN","type":"education","lineage":["https://openalex.org/I31595395"]},{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing Li","raw_affiliation_strings":["School of Mathematical Sciences, Chengdu University of Technology, Chengdu, 610059, Sichuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Chengdu University of Technology, Chengdu, 610059, Sichuan, China","institution_ids":["https://openalex.org/I150229711","https://openalex.org/I24201400","https://openalex.org/I31595395","https://openalex.org/I4210125143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101321503","display_name":"Qianrui Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I119868032","display_name":"Shanxi Agricultural University","ror":"https://ror.org/05e9f5362","country_code":"CN","type":"education","lineage":["https://openalex.org/I119868032"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianrui Wei","raw_affiliation_strings":["Department of Basic Sciences, Shanxi Agricultural University, Jinzhong, 030801, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, Shanxi Agricultural University, Jinzhong, 030801, Shanxi, China","institution_ids":["https://openalex.org/I119868032"]}]},{"author_position":"last","author":{"id":null,"display_name":"Xiaofei Zhao","orcid":"https://orcid.org/0009-0006-6057-2627"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaofei Zhao","raw_affiliation_strings":["School of Mathematics and Statistics & Computational Sciences Hubei Key Laboratory, Wuhan University, Wuhan, 430072, Hubei, China"],"raw_orcid":"https://orcid.org/0009-0006-6057-2627","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics & Computational Sciences Hubei Key Laboratory, Wuhan University, Wuhan, 430072, Hubei, China","institution_ids":["https://openalex.org/I75900474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I75900474"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1457263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"106","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9760000109672546,"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":0.9760000109672546,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.008700000122189522,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.003700000001117587,"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":0.717199981212616},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6047000288963318},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5529000163078308},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5242999792098999},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5202999711036682},{"id":"https://openalex.org/keywords/exponential-integrator","display_name":"Exponential integrator","score":0.444599986076355},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.358599990606308},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.3578999936580658}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8371000289916992},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.717199981212616},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6047000288963318},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5938000082969666},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5529000163078308},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5242999792098999},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5202999711036682},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.444599986076355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3978999853134155},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.358599990606308},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.3578999936580658},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.3312999904155731},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.28630000352859497},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2678999900817871}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-026-03180-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-026-03180-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1079102649","display_name":null,"funder_award_id":"42450275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3041181338","display_name":null,"funder_award_id":"2024YFE03240400","funder_id":"https://openalex.org/F4320335774","funder_display_name":"Key Technologies Research and Development Program"},{"id":"https://openalex.org/G4032437904","display_name":null,"funder_award_id":"12271413","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4162643087","display_name":null,"funder_award_id":"12401308","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/F4320335774","display_name":"Key Technologies Research and Development Program","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W320414190","https://openalex.org/W1490180844","https://openalex.org/W1601323924","https://openalex.org/W1612143154","https://openalex.org/W1967691712","https://openalex.org/W1975036160","https://openalex.org/W1975928715","https://openalex.org/W1979722387","https://openalex.org/W1994545070","https://openalex.org/W1997632432","https://openalex.org/W2007997432","https://openalex.org/W2009657287","https://openalex.org/W2016002683","https://openalex.org/W2019767773","https://openalex.org/W2030669316","https://openalex.org/W2031464598","https://openalex.org/W2050639649","https://openalex.org/W2066109671","https://openalex.org/W2075677712","https://openalex.org/W2077819267","https://openalex.org/W2079706362","https://openalex.org/W2086673715","https://openalex.org/W2101309150","https://openalex.org/W2103234725","https://openalex.org/W2139145457","https://openalex.org/W2158738915","https://openalex.org/W2160127505","https://openalex.org/W2275278987","https://openalex.org/W2278222950","https://openalex.org/W2618966431","https://openalex.org/W2766714443","https://openalex.org/W2963550426","https://openalex.org/W2964047964","https://openalex.org/W3083092838","https://openalex.org/W3131412345","https://openalex.org/W3185825490","https://openalex.org/W3195009542","https://openalex.org/W3199667612","https://openalex.org/W4211077197","https://openalex.org/W4224022239","https://openalex.org/W4237362312","https://openalex.org/W4280518394","https://openalex.org/W4363632305","https://openalex.org/W4383815036","https://openalex.org/W4390066194","https://openalex.org/W4393058960","https://openalex.org/W4406847707","https://openalex.org/W4408143489","https://openalex.org/W4412513467"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2026-01-19T00:00:00"}