{"id":"https://openalex.org/W1998234182","doi":"https://doi.org/10.1080/00207160008804901","title":"A new family of three-level five-point explicit schemes with high stability properties for dispersive equation","display_name":"A new family of three-level five-point explicit schemes with high stability properties for dispersive equation","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1998234182","doi":"https://doi.org/10.1080/00207160008804901","mag":"1998234182"},"language":"en","primary_location":{"id":"doi:10.1080/00207160008804901","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804901","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"],"host_organization_lineage_names":["Taylor & Francis"],"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/A5045495502","display_name":"Tian Zhenfu","orcid":null},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tian Zhenfu","raw_affiliation_strings":["Institute of Applied Mathematics, Ningxia University , Yinchuan, 750021, P.R. China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Ningxia University , Yinchuan, 750021, P.R. China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031575667","display_name":"Hu Qiuling","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100953","display_name":"Xi'an University of Finance and Economics","ror":"https://ror.org/01b9y2p27","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210100953"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hu Qiuling","raw_affiliation_strings":["Department of Computer Science , Shaaxi Institute of Finance and Economics , Xi'an, 710061, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science , Shaaxi Institute of Finance and Economics , Xi'an, 710061, P.R. China","institution_ids":["https://openalex.org/I4210100953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045495502"],"corresponding_institution_ids":["https://openalex.org/I21642278"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13313609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"3","first_page":"341","last_page":"348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9950000047683716,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9950000047683716,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9937000274658203,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9168999791145325,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/mathematics","display_name":"Mathematics","score":0.9021046161651611},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7410399913787842},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5929216742515564},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5720787644386292},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5228205919265747},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47674569487571716},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4729188084602356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44315749406814575},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.4224969744682312},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21589398384094238},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09515532851219177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.057316333055496216}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9021046161651611},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7410399913787842},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5929216742515564},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5720787644386292},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5228205919265747},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47674569487571716},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4729188084602356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44315749406814575},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.4224969744682312},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21589398384094238},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09515532851219177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.057316333055496216},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160008804901","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804901","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"],"host_organization_lineage_names":["Taylor & Francis"],"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W66300232","https://openalex.org/W1993077934","https://openalex.org/W2031625864","https://openalex.org/W2086792937","https://openalex.org/W2148445249","https://openalex.org/W2171258154","https://openalex.org/W2315651828","https://openalex.org/W2937947362","https://openalex.org/W3003821699","https://openalex.org/W3146014150"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W138907054","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2036329708","https://openalex.org/W2044869171"],"abstract_inverted_index":{"Based":[0],"on":[1],"single-point":[2],"semi-analytical":[3],"difference":[4,15],"method":[5],"in":[6,23],"[1],":[7],"a":[8,18],"new":[9],"family":[10],"of":[11,41,59],"three-level":[12],"five-point":[13],"explicit":[14],"schemes":[16,58],"for":[17,57],"dispersive":[19],"equation":[20],"is":[21],"proposed":[22],"this":[24],"paper.":[25],"Their":[26],"local":[27],"truncation":[28],"errors":[29],"are":[30,34,46],"and":[31,51],"stability":[32],"conditions":[33],",":[35,50],"where":[36],"fis":[37],"an":[38],"increasing":[39],"function":[40],"its":[42],"variable.":[43],"These":[44],"results":[45],"much":[47],"better":[48],"than":[49],"seem":[52],"to":[53],"be":[54],"the":[55,60],"best":[56],"same":[61],"type":[62],"at":[63],"present.":[64]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
