{"id":"https://openalex.org/W2054071080","doi":"https://doi.org/10.1515/cmam-2014-0012","title":"The Tailored Finite Point Method","display_name":"The Tailored Finite Point Method","publication_year":2014,"publication_date":"2014-04-26","ids":{"openalex":"https://openalex.org/W2054071080","doi":"https://doi.org/10.1515/cmam-2014-0012","mag":"2054071080"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2014-0012","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0012","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0012/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0012/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100851858","display_name":"Houde Han","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Houde Han","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065270536","display_name":"Zhongyi Huang","orcid":"https://orcid.org/0000-0002-5623-4864"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongyi Huang","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100851858"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":1.2838,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.79085423,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"3","first_page":"321","last_page":"345"},"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":0.9994999766349792,"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":0.9994999766349792,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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/T10514","display_name":"Numerical methods in engineering","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.764106273651123},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6602805852890015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6287062168121338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.586961030960083},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5246641635894775},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5167995691299438},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.4795912802219391},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.47897079586982727},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14603489637374878}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.764106273651123},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6602805852890015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6287062168121338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.586961030960083},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5246641635894775},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5167995691299438},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.4795912802219391},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.47897079586982727},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14603489637374878}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/cmam-2014-0012","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0012","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0012/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.725.5427","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.725.5427","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://faculty.math.tsinghua.edu.cn/%7Ezhuang/papers/BAIL2008.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1515/cmam-2014-0012","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0012","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0012/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1613156395","display_name":null,"funder_award_id":"91330203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G275150305","display_name":null,"funder_award_id":"2011CB309705","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3129806459","display_name":null,"funder_award_id":"11371218","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3225641615","display_name":null,"funder_award_id":"11322113","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4673211725","display_name":null,"funder_award_id":"2011CB309705","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7546586289","display_name":null,"funder_award_id":"11322113, 11371218, 91330203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2054071080.pdf","grobid_xml":"https://content.openalex.org/works/W2054071080.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W91881074","https://openalex.org/W137638080","https://openalex.org/W230229034","https://openalex.org/W232802423","https://openalex.org/W872678133","https://openalex.org/W973062603","https://openalex.org/W1549057003","https://openalex.org/W1963792241","https://openalex.org/W1976538983","https://openalex.org/W1981474615","https://openalex.org/W1992452741","https://openalex.org/W2000065163","https://openalex.org/W2014983931","https://openalex.org/W2025124289","https://openalex.org/W2029918260","https://openalex.org/W2036371403","https://openalex.org/W2037092148","https://openalex.org/W2037505605","https://openalex.org/W2050416902","https://openalex.org/W2056171461","https://openalex.org/W2066060458","https://openalex.org/W2067461001","https://openalex.org/W2074024028","https://openalex.org/W2077065459","https://openalex.org/W2077946970","https://openalex.org/W2080544117","https://openalex.org/W2081535068","https://openalex.org/W2086160648","https://openalex.org/W2086744857","https://openalex.org/W2099283728","https://openalex.org/W2115083628","https://openalex.org/W2129237096","https://openalex.org/W2138940269","https://openalex.org/W2161769158","https://openalex.org/W2314262586","https://openalex.org/W2329162902","https://openalex.org/W3008609509","https://openalex.org/W4236114737","https://openalex.org/W4245491293","https://openalex.org/W4250590754","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3108522484","https://openalex.org/W2053857640","https://openalex.org/W2122095750","https://openalex.org/W2196719869","https://openalex.org/W2045397465","https://openalex.org/W2001488143","https://openalex.org/W2010309086","https://openalex.org/W2392492385","https://openalex.org/W3216698492","https://openalex.org/W3201990513"],"abstract_inverted_index":{"Abstract.":[0],"In":[1],"this":[2],"paper,":[3],"a":[4,18],"brief":[5],"review":[6],"of":[7,26,40],"tailored":[8,34],"finite":[9],"point":[10],"methods":[11],"(TFPM)":[12],"is":[13,17,50],"given.":[14],"The":[15,30],"TFPM":[16,31,49,73],"new":[19],"approach":[20],"to":[21,77],"construct":[22],"the":[23,37,41,48,72,81,88],"numerical":[24],"solutions":[25,54,62,67],"partial":[27],"differential":[28],"equations.":[29],"has":[32,74],"been":[33,75],"based":[35],"on":[36],"local":[38],"properties":[39],"solution":[42],"for":[43,53,61],"each":[44],"given":[45],"problem.":[46],"Especially,":[47],"very":[51],"efficient":[52],"which":[55],"are":[56],"not":[57],"smooth":[58],"enough,":[59],"e.g.,":[60],"possessing":[63],"boundary/interior":[64],"layers":[65],"or":[66,105],"being":[68],"highly":[69,106],"oscillated.":[70],"Recently,":[71],"applied":[76],"singular":[78],"perturbation":[79],"problems,":[80],"Helmholtz":[82],"equation":[83,91],"with":[84,98,103],"high":[85,93],"wave":[86,90],"numbers,":[87],"first-order":[89],"in":[92],"frequency":[94],"cases,":[95],"transport":[96],"equations":[97,102],"interface,":[99],"second-order":[100],"elliptic":[101],"rough":[104],"oscillatory":[107],"coefficients,":[108],"etc.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
