{"id":"https://openalex.org/W2590242557","doi":"https://doi.org/10.1080/00207160.2017.1297429","title":"Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises","display_name":"Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises","publication_year":2017,"publication_date":"2017-02-24","ids":{"openalex":"https://openalex.org/W2590242557","doi":"https://doi.org/10.1080/00207160.2017.1297429","mag":"2590242557"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2017.1297429","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1297429","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/A5085699175","display_name":"Mostafa Zahri","orcid":"https://orcid.org/0000-0002-4280-9321"},"institutions":[{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Mostafa Zahri","raw_affiliation_strings":["Department of Mathematics, Taibah University, College of Sciences, Madinah, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Taibah University, College of Sciences, Madinah, Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085699175"],"corresponding_institution_ids":["https://openalex.org/I23075662"],"apc_list":null,"apc_paid":null,"fwci":0.9085,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75368084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"95","issue":"4","first_page":"645","last_page":"685"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/barycentric-coordinate-system","display_name":"Barycentric coordinate system","score":0.7460764646530151},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7168591618537903},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.58887779712677},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5590768456459045},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5483189821243286},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5145094394683838},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5091144442558289},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.49741390347480774},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.4775708317756653},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46483421325683594},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45204147696495056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4184274673461914},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41083985567092896},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.3940791189670563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20116466283798218},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1550472378730774},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.08299711346626282},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.07200270891189575}],"concepts":[{"id":"https://openalex.org/C128356825","wikidata":"https://www.wikidata.org/wiki/Q738422","display_name":"Barycentric coordinate system","level":2,"score":0.7460764646530151},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7168591618537903},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.58887779712677},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5590768456459045},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5483189821243286},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5145094394683838},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5091144442558289},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.49741390347480774},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4775708317756653},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46483421325683594},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45204147696495056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4184274673461914},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41083985567092896},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3940791189670563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20116466283798218},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1550472378730774},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.08299711346626282},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.07200270891189575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2017.1297429","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1297429","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":33,"referenced_works":["https://openalex.org/W639956148","https://openalex.org/W648930399","https://openalex.org/W654805605","https://openalex.org/W1528042669","https://openalex.org/W1538934584","https://openalex.org/W1542243431","https://openalex.org/W1971365889","https://openalex.org/W1973040304","https://openalex.org/W1978658561","https://openalex.org/W1987245057","https://openalex.org/W1990600162","https://openalex.org/W1995486747","https://openalex.org/W2000582360","https://openalex.org/W2004276733","https://openalex.org/W2016342571","https://openalex.org/W2026949244","https://openalex.org/W2028192944","https://openalex.org/W2029857205","https://openalex.org/W2031524945","https://openalex.org/W2045100583","https://openalex.org/W2058003779","https://openalex.org/W2068189359","https://openalex.org/W2082112219","https://openalex.org/W2094112193","https://openalex.org/W2098645609","https://openalex.org/W2098745142","https://openalex.org/W2154916675","https://openalex.org/W2176941812","https://openalex.org/W2220638984","https://openalex.org/W2253000656","https://openalex.org/W4231021340","https://openalex.org/W4232411235","https://openalex.org/W4300475775"],"related_works":["https://openalex.org/W2839855470","https://openalex.org/W2036318173","https://openalex.org/W2740474074","https://openalex.org/W1989603443","https://openalex.org/W2085522030","https://openalex.org/W4240730748","https://openalex.org/W2482002042","https://openalex.org/W223199678","https://openalex.org/W3137511082","https://openalex.org/W2784042114"],"abstract_inverted_index":{"The":[0,61],"purpose":[1],"of":[2,16,35,51,94],"this":[3],"paper":[4],"is":[5,63],"to":[6,42],"develop":[7],"a":[8,14,95],"new":[9],"numerical":[10,46,49],"method":[11,34,41],"for":[12],"solving":[13],"class":[15],"stochastic":[17,39,45,96],"partial":[18],"differential":[19],"equations":[20],"with":[21,87,98],"additive":[22,99],"multi-noise.":[23],"Based":[24],"on":[25,72,84],"the":[26,32,38,52,57,69,73,76,92],"domain":[27],"decomposition":[28],"method,":[29],"we":[30,55,81],"combine":[31],"deterministic":[33],"lines":[36],"and":[37,75,89,101],"It\u00f4-Taylor":[40],"construct":[43],"high-order":[44],"method.":[47,60],"For":[48],"approximation":[50],"interface":[53,78],"solutions,":[54],"introduce":[56],"Barycentric":[58],"interpolation":[59],"solution":[62],"then":[64],"carried":[65],"out":[66],"by":[67],"collecting":[68],"interior":[70],"solutions":[71],"subdomains":[74,86],"updated":[77],"solutions.":[79],"Finally,":[80],"computationally":[82],"analyse":[83],"meaningful":[85],"linear":[88],"nonlinear":[90],"interfaces,":[91],"case":[93],"advection\u2013diffusion":[97],"multi-noise":[100],"Dirichlet":[102],"boundary":[103],"conditions.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
