{"id":"https://openalex.org/W2054661682","doi":"https://doi.org/10.1080/00207169908804814","title":"A kind of characteristic-splitting method for convection-dominated parabolic equations<sup>*</sup>","display_name":"A kind of characteristic-splitting method for convection-dominated parabolic equations<sup>*</sup>","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2054661682","doi":"https://doi.org/10.1080/00207169908804814","mag":"2054661682"},"language":"en","primary_location":{"id":"doi:10.1080/00207169908804814","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804814","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/A5112108082","display_name":"Rui Hongxing","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rui Hongxing","raw_affiliation_strings":["Mathematics Department , Shandong University , Jinan, P.R, 250100, China"],"affiliations":[{"raw_affiliation_string":"Mathematics Department , Shandong University , Jinan, P.R, 250100, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112108082"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.21312804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"71","issue":"3","first_page":"359","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9975000023841858,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7720028162002563},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.6493958234786987},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6395868062973022},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6156560182571411},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5510084629058838},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5272547006607056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5251186490058899},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5191411375999451},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4984550476074219},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4482932388782501},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44359973073005676},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4241219758987427},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4182884395122528},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38669562339782715},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2905975580215454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13328835368156433},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.11567950248718262},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0720885694026947}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7720028162002563},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.6493958234786987},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6395868062973022},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6156560182571411},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5510084629058838},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5272547006607056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5251186490058899},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5191411375999451},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4984550476074219},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4482932388782501},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44359973073005676},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4241219758987427},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4182884395122528},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38669562339782715},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2905975580215454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13328835368156433},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.11567950248718262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0720885694026947},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169908804814","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804814","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2032081328"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2006389905","https://openalex.org/W1982328599"],"abstract_inverted_index":{"Consider":[0],"the":[1,23,33,85,93],"convection":[2,56],"diffusion":[3,57],"equations":[4],"where":[5],"&":[6],"is":[7],"a":[8,45,63,70,78,103],"bounded":[9],"domain":[10],"with":[11,50],"boundary":[12],"and":[13,18,73,84,96],"a(x)":[14],"are":[15,88],"smooth":[16],"functions,":[17],".":[19],"When":[20],"we":[21,43,101],"use":[22],"finite":[24,27],"difference":[25],"or":[26],"element":[28],"method":[29,49],"to":[30],"solve":[31],"it,":[32],"numerical":[34,104],"oscillation":[35],"will":[36,60],"be":[37,61,75],"appear":[38],"[1].":[39],"In":[40],"this":[41],"paper":[42],"propose":[44],"kind":[46,64],"of":[47,65],"splitting":[48],"time":[51],"stepping":[52],"along":[53],"characteristic":[54],"for":[55],"equation,":[58],"which":[59],"as":[62],"high":[66],"speed":[67],"algorithm":[68],"on":[69,77],"sequential":[71],"computer,":[72],"also":[74,91],"implemented":[76],"parallel":[79],"computer.":[80],"The":[81],"maximum":[82],"principle":[83],"uniform":[86],"convergence":[87],"obtained.":[89],"We":[90],"give":[92,102],"average":[94,97],"stability":[95],"error":[98],"estimates.":[99],"Finally":[100],"example":[105]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
