{"id":"https://openalex.org/W2903880011","doi":"https://doi.org/10.1007/s12190-018-01228-9","title":"Extrapolation multiscale multigrid method for solving 2D Poisson equation with sixth order compact scheme","display_name":"Extrapolation multiscale multigrid method for solving 2D Poisson equation with sixth order compact scheme","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2903880011","doi":"https://doi.org/10.1007/s12190-018-01228-9","mag":"2903880011"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-018-01228-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-018-01228-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and 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/A5100351402","display_name":"Ming Li","orcid":"https://orcid.org/0000-0002-2289-0222"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]},{"id":"https://openalex.org/I4210121919","display_name":"Honghe University","ror":"https://ror.org/036prgm77","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210121919"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ming Li","raw_affiliation_strings":["Department of Mathematics, Honghe University, Mengzi, 661100, China","School of Mathematics and Statistics, Central South University, Changsha, 410083, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Honghe University, Mengzi, 661100, China","institution_ids":["https://openalex.org/I4210121919"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005175256","display_name":"Zhoushun Zheng","orcid":"https://orcid.org/0000-0002-8792-6310"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhoushun Zheng","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029772640","display_name":"Kejia Pan","orcid":"https://orcid.org/0000-0001-5768-7972"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kejia Pan","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, China"],"raw_orcid":"https://orcid.org/0000-0001-5768-7972","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100351402"],"corresponding_institution_ids":["https://openalex.org/I139660479","https://openalex.org/I4210121919"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4162,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.62088041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"1-2","first_page":"589","last_page":"604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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":0.9998000264167786,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9945999979972839,"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/extrapolation","display_name":"Extrapolation","score":0.9376593828201294},{"id":"https://openalex.org/keywords/richardson-extrapolation","display_name":"Richardson extrapolation","score":0.741226315498352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7343764901161194},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6990038752555847},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6490107178688049},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.6331127882003784},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5872389078140259},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5245043039321899},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5209656953811646},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4661959707736969},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.44722995162010193},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.43755993247032166},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4122685492038727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32694095373153687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3238157629966736},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.30654430389404297},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3030414879322052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16541039943695068},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14057201147079468},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07723313570022583}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.9376593828201294},{"id":"https://openalex.org/C102893441","wikidata":"https://www.wikidata.org/wiki/Q1063089","display_name":"Richardson extrapolation","level":3,"score":0.741226315498352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7343764901161194},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6990038752555847},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6490107178688049},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.6331127882003784},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5872389078140259},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5245043039321899},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5209656953811646},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4661959707736969},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.44722995162010193},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.43755993247032166},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4122685492038727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32694095373153687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3238157629966736},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.30654430389404297},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3030414879322052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16541039943695068},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14057201147079468},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07723313570022583},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-018-01228-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-018-01228-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3003783188","display_name":null,"funder_award_id":"41874086","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6524351626","display_name":null,"funder_award_id":"41474103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7719005882","display_name":null,"funder_award_id":"2017YFB0701700","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7836239856","display_name":null,"funder_award_id":"2017YFB0305601","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W292264166","https://openalex.org/W949609917","https://openalex.org/W1483453680","https://openalex.org/W1530872699","https://openalex.org/W1559687661","https://openalex.org/W1562794883","https://openalex.org/W1629991045","https://openalex.org/W1943318998","https://openalex.org/W1971920652","https://openalex.org/W1980266375","https://openalex.org/W1997542937","https://openalex.org/W2002264415","https://openalex.org/W2011637759","https://openalex.org/W2017002825","https://openalex.org/W2025716724","https://openalex.org/W2033948098","https://openalex.org/W2036421878","https://openalex.org/W2042199958","https://openalex.org/W2050157219","https://openalex.org/W2054004413","https://openalex.org/W2057324804","https://openalex.org/W2057772635","https://openalex.org/W2061937382","https://openalex.org/W2068073951","https://openalex.org/W2070145356","https://openalex.org/W2077458266","https://openalex.org/W2082274701","https://openalex.org/W2094570348","https://openalex.org/W2100790391","https://openalex.org/W2105737698","https://openalex.org/W2126722676","https://openalex.org/W2127981460","https://openalex.org/W2151478420","https://openalex.org/W2151859814","https://openalex.org/W2165931351","https://openalex.org/W2219157509","https://openalex.org/W2258322670","https://openalex.org/W2270576847","https://openalex.org/W2273054146","https://openalex.org/W2296182032","https://openalex.org/W2373176926","https://openalex.org/W2600053838","https://openalex.org/W2624584113","https://openalex.org/W2770314305","https://openalex.org/W2806715133","https://openalex.org/W3105248958","https://openalex.org/W3142003961","https://openalex.org/W4213112320","https://openalex.org/W4230055019"],"related_works":["https://openalex.org/W3048095155","https://openalex.org/W2560420848","https://openalex.org/W281295283","https://openalex.org/W1459866636","https://openalex.org/W4388931352","https://openalex.org/W1996574028","https://openalex.org/W2907768163","https://openalex.org/W2025452396","https://openalex.org/W2170978669","https://openalex.org/W1988941223"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}