{"id":"https://openalex.org/W2932807069","doi":"https://doi.org/10.1007/s10915-019-00952-z","title":"A Meshless Finite Difference Method Based on Polynomial Interpolation","display_name":"A Meshless Finite Difference Method Based on Polynomial Interpolation","publication_year":2019,"publication_date":"2019-04-02","ids":{"openalex":"https://openalex.org/W2932807069","doi":"https://doi.org/10.1007/s10915-019-00952-z","mag":"2932807069"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-019-00952-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-019-00952-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific 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/A5020432740","display_name":"Xifeng Huang","orcid":"https://orcid.org/0000-0001-5135-6232"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"X. W. Huang","raw_affiliation_strings":["School of Sciences, Wuhan University of Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Wuhan University of Technology, Wuhan, China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104334317","display_name":"Cairong Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"C. S. Wu","raw_affiliation_strings":["School of Sciences, Wuhan University of Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Wuhan University of Technology, Wuhan, China","institution_ids":["https://openalex.org/I196699116"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020432740"],"corresponding_institution_ids":["https://openalex.org/I196699116"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7292,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65953138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"80","issue":"1","first_page":"667","last_page":"691"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9828000068664551,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9635000228881836,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8357841968536377},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.8079222440719604},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.7473663091659546},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7260813117027283},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.6262553930282593},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5906168818473816},{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"Trigonometric interpolation","score":0.5335032939910889},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.5229142904281616},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5141651630401611},{"id":"https://openalex.org/keywords/polynomial-basis","display_name":"Polynomial basis","score":0.4578094184398651},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.4427976906299591},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3863760530948639},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.3208543658256531},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.15203163027763367},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08661386370658875}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8357841968536377},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.8079222440719604},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.7473663091659546},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7260813117027283},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.6262553930282593},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5906168818473816},{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.5335032939910889},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.5229142904281616},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5141651630401611},{"id":"https://openalex.org/C2778406171","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Polynomial basis","level":2,"score":0.4578094184398651},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.4427976906299591},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3863760530948639},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.3208543658256531},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.15203163027763367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08661386370658875},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-019-00952-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-019-00952-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific Computing","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":37,"referenced_works":["https://openalex.org/W237643651","https://openalex.org/W395181431","https://openalex.org/W1486164486","https://openalex.org/W1567376354","https://openalex.org/W1623557273","https://openalex.org/W1981694936","https://openalex.org/W1988744163","https://openalex.org/W1993323295","https://openalex.org/W1994817429","https://openalex.org/W1998727766","https://openalex.org/W2003039679","https://openalex.org/W2004797340","https://openalex.org/W2017904359","https://openalex.org/W2020462115","https://openalex.org/W2034462595","https://openalex.org/W2037112610","https://openalex.org/W2039735372","https://openalex.org/W2045487399","https://openalex.org/W2045574335","https://openalex.org/W2045932400","https://openalex.org/W2056573161","https://openalex.org/W2060051509","https://openalex.org/W2090536661","https://openalex.org/W2092713299","https://openalex.org/W2120958527","https://openalex.org/W2134996260","https://openalex.org/W2170668759","https://openalex.org/W2264065105","https://openalex.org/W2324019603","https://openalex.org/W2403418182","https://openalex.org/W2560552443","https://openalex.org/W2568756429","https://openalex.org/W2615139873","https://openalex.org/W2805851569","https://openalex.org/W4230172292","https://openalex.org/W4231592336","https://openalex.org/W4236478587"],"related_works":["https://openalex.org/W2488705107","https://openalex.org/W4386512906","https://openalex.org/W2354378723","https://openalex.org/W4387757843","https://openalex.org/W2371738094","https://openalex.org/W2360151650","https://openalex.org/W3204309326","https://openalex.org/W2391374853","https://openalex.org/W2248046790","https://openalex.org/W2358123980"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}