{"id":"https://openalex.org/W4386328635","doi":"https://doi.org/10.1007/s10444-023-10058-8","title":"Convergence of non-stationary semi-discrete RBF schemes for the heat and wave equation","display_name":"Convergence of non-stationary semi-discrete RBF schemes for the heat and wave equation","publication_year":2023,"publication_date":"2023-08-31","ids":{"openalex":"https://openalex.org/W4386328635","doi":"https://doi.org/10.1007/s10444-023-10058-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-023-10058-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10058-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5080893318","display_name":"Raymond Brummelhuis","orcid":"https://orcid.org/0000-0001-6587-1673"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4387156098","display_name":"Laboratoire de Math\u00e9matiques de Reims","ror":"https://ror.org/01xkfnd03","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387156098","https://openalex.org/I96226040"]},{"id":"https://openalex.org/I96226040","display_name":"Universit\u00e9 de Reims Champagne-Ardenne","ror":"https://ror.org/03hypw319","country_code":"FR","type":"education","lineage":["https://openalex.org/I96226040"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Raymond Brummelhuis","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Reims, UMR 9008 du CNRS, Universit\u00e9 de Reims Champagne-Ardenne, BP 1039, 51687 Cedex 2, Reims, France"],"raw_orcid":"https://orcid.org/0000-0001-6587-1673","affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Reims, UMR 9008 du CNRS, Universit\u00e9 de Reims Champagne-Ardenne, BP 1039, 51687 Cedex 2, Reims, France","institution_ids":["https://openalex.org/I96226040","https://openalex.org/I4387156098","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080893318"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4387156098","https://openalex.org/I96226040"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11737857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"5","first_page":null,"last_page":null},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9973000288009644,"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/sobolev-space","display_name":"Sobolev space","score":0.8803880214691162},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7681509256362915},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.7086231112480164},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6975302696228027},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6167151927947998},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5625292658805847},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5467700362205505},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.5139052867889404},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.49227777123451233},{"id":"https://openalex.org/keywords/interpolation-space","display_name":"Interpolation space","score":0.4751060903072357},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44048523902893066},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4239421486854553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.343059241771698},{"id":"https://openalex.org/keywords/functional-analysis","display_name":"Functional analysis","score":0.14278066158294678},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09988194704055786},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.06589215993881226},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.06207391619682312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.061359673738479614}],"concepts":[{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.8803880214691162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7681509256362915},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.7086231112480164},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6975302696228027},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6167151927947998},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5625292658805847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5467700362205505},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.5139052867889404},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.49227777123451233},{"id":"https://openalex.org/C6183050","wikidata":"https://www.wikidata.org/wiki/Q3058180","display_name":"Interpolation space","level":4,"score":0.4751060903072357},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44048523902893066},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4239421486854553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.343059241771698},{"id":"https://openalex.org/C55112680","wikidata":"https://www.wikidata.org/wiki/Q190549","display_name":"Functional analysis","level":3,"score":0.14278066158294678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09988194704055786},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.06589215993881226},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.06207391619682312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.061359673738479614},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-023-10058-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10058-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05318393v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05318393","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Computational Mathematics, 2023, 49 (5), pp.69. &#x27E8;10.1007/s10444-023-10058-8&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W641617372","https://openalex.org/W1486164486","https://openalex.org/W1970420250","https://openalex.org/W1999025826","https://openalex.org/W2021828492","https://openalex.org/W2021969763","https://openalex.org/W2035637093","https://openalex.org/W2040474350","https://openalex.org/W2047079159","https://openalex.org/W2055528045","https://openalex.org/W2055940788","https://openalex.org/W2061114328","https://openalex.org/W2063449302","https://openalex.org/W2065516447","https://openalex.org/W2072146174","https://openalex.org/W2080412418","https://openalex.org/W2102483543","https://openalex.org/W2160812957","https://openalex.org/W2169211733","https://openalex.org/W2236860790","https://openalex.org/W2263627330","https://openalex.org/W2316852538","https://openalex.org/W2501012592","https://openalex.org/W3082206648","https://openalex.org/W3101659054","https://openalex.org/W3105158943","https://openalex.org/W4243999352","https://openalex.org/W4281752242"],"related_works":["https://openalex.org/W2324780684","https://openalex.org/W2997765005","https://openalex.org/W266838890","https://openalex.org/W4241943978","https://openalex.org/W1995152513","https://openalex.org/W2076262709","https://openalex.org/W2963735960","https://openalex.org/W4385551277","https://openalex.org/W3008047593","https://openalex.org/W1490777027"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-23T23:20:30.427331","created_date":"2025-10-10T00:00:00"}
