{"id":"https://openalex.org/W1977042695","doi":"https://doi.org/10.1080/00207169808804683","title":"Segment explicit-implicit difference method on nonuniform mesh for parabolic equation with discontinuous coefficients<sup>\u2217</sup>","display_name":"Segment explicit-implicit difference method on nonuniform mesh for parabolic equation with discontinuous coefficients<sup>\u2217</sup>","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1977042695","doi":"https://doi.org/10.1080/00207169808804683","mag":"1977042695"},"language":"en","primary_location":{"id":"doi:10.1080/00207169808804683","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169808804683","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/A5101601340","display_name":"Deyuan Li","orcid":"https://orcid.org/0000-0003-2155-2552"},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li Deyuan","raw_affiliation_strings":["Laboratory of Computational Physics , Institute of Applied Physics and Computational Mathematics , Beijing, China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Computational Physics , Institute of Applied Physics and Computational Mathematics , Beijing, China","institution_ids":["https://openalex.org/I4210145278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058902079","display_name":"Dong Suqin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Suqin","raw_affiliation_strings":["Laboratory of Computational Physics , Institute of Applied Physics and Computational Mathematics , Beijing, China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Computational Physics , Institute of Applied Physics and Computational Mathematics , Beijing, China","institution_ids":["https://openalex.org/I4210145278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101601340"],"corresponding_institution_ids":["https://openalex.org/I4210145278"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12573763,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"68","issue":"1-2","first_page":"133","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991000294685364,"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":0.9991000294685364,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9180999994277954,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.9003000259399414,"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/mathematics","display_name":"Mathematics","score":0.8805189728736877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6640424132347107},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6131451725959778},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.575067937374115},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5371509194374084},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5137594938278198},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5066057443618774},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.48235219717025757},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.44562989473342896}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8805189728736877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6640424132347107},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6131451725959778},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.575067937374115},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5371509194374084},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5137594938278198},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5066057443618774},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48235219717025757},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.44562989473342896},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169808804683","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169808804683","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/W1969040337","https://openalex.org/W1999630686","https://openalex.org/W2055656318","https://openalex.org/W2069733983","https://openalex.org/W2072030354","https://openalex.org/W2072410728","https://openalex.org/W2094873405","https://openalex.org/W2612261222","https://openalex.org/W2911409939","https://openalex.org/W4252135546"],"related_works":["https://openalex.org/W1967450583","https://openalex.org/W2066764747","https://openalex.org/W2385175414","https://openalex.org/W2083817219","https://openalex.org/W2264582182","https://openalex.org/W4389325770","https://openalex.org/W3047860677","https://openalex.org/W1850237974","https://openalex.org/W2268131559","https://openalex.org/W2372263733"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,6,33,36,40,43,47,50,54,63,67,72,75,79,82],"convergence":[4,57,85],"of":[5,35,42,49,56,66,74,84],"segment":[7],"explicit-implicit":[8],"difference":[9,68],"scheme":[10,37,69],"on":[11,26],"a":[12],"nonuniform":[13],"mesh":[14],"for":[15],"parabolic":[16,44],"equation":[17,45,77],"with":[18],"discontinuous":[19],"coefficients":[20],"is":[21,30,58,86],"discussed.":[22],"The":[23],"truncation":[24],"error":[25],"each":[27],"net":[28],"point":[29],"O(1),":[31],"but":[32],"solution":[34,41],"tends":[38,70],"to":[39,71],"in":[46,78],"sense":[48],"maximum":[51],"norm":[52],"and":[53,81],"rate":[55,83],"O(\u03c4":[59,88],"+":[60,89],"h).":[61,90],"Moreover,":[62],"numerical":[64],"flux":[65,73],"differential":[76],"mean,":[80],"also":[87]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
