{"id":"https://openalex.org/W4382564699","doi":"https://doi.org/10.1007/978-3-031-36027-5_40","title":"Oscillatory Behaviour of\u00a0the\u00a0RBF-FD Approximation Accuracy Under Increasing Stencil Size","display_name":"Oscillatory Behaviour of\u00a0the\u00a0RBF-FD Approximation Accuracy Under Increasing Stencil Size","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4382564699","doi":"https://doi.org/10.1007/978-3-031-36027-5_40"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-36027-5_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-36027-5_40","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5076127884","display_name":"Andrej Kolar-Po\u017eun","orcid":"https://orcid.org/0000-0001-9694-3828"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I3006985408","display_name":"Jo\u017eef Stefan Institute","ror":"https://ror.org/05060sz93","country_code":"SI","type":"facility","lineage":["https://openalex.org/I3006985408"]}],"countries":["SI"],"is_corresponding":true,"raw_author_name":"Andrej Kolar-Po\u017eun","raw_affiliation_strings":["Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia","Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia"],"raw_orcid":"https://orcid.org/0000-0001-9694-3828","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]},{"raw_affiliation_string":"Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I3006985408"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014236579","display_name":"Mitja Jan\u010di\u010d","orcid":null},"institutions":[{"id":"https://openalex.org/I3006985408","display_name":"Jo\u017eef Stefan Institute","ror":"https://ror.org/05060sz93","country_code":"SI","type":"facility","lineage":["https://openalex.org/I3006985408"]},{"id":"https://openalex.org/I4210113529","display_name":"Jo\u017eef Stefan International Postgraduate School","ror":"https://ror.org/01hdkb925","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210113529"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Mitja Jan\u010di\u010d","raw_affiliation_strings":["Jo\u017eef Stefan International Postgraduate School, Ljubljana, Slovenia","Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia"],"raw_orcid":"https://orcid.org/0000-0003-1850-412X","affiliations":[{"raw_affiliation_string":"Jo\u017eef Stefan International Postgraduate School, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210113529"]},{"raw_affiliation_string":"Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I3006985408"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005468383","display_name":"Miha Rot","orcid":"https://orcid.org/0000-0002-8869-4507"},"institutions":[{"id":"https://openalex.org/I3006985408","display_name":"Jo\u017eef Stefan Institute","ror":"https://ror.org/05060sz93","country_code":"SI","type":"facility","lineage":["https://openalex.org/I3006985408"]},{"id":"https://openalex.org/I4210113529","display_name":"Jo\u017eef Stefan International Postgraduate School","ror":"https://ror.org/01hdkb925","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210113529"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Miha Rot","raw_affiliation_strings":["Jo\u017eef Stefan International Postgraduate School, Ljubljana, Slovenia","Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia"],"raw_orcid":"https://orcid.org/0000-0002-8869-4507","affiliations":[{"raw_affiliation_string":"Jo\u017eef Stefan International Postgraduate School, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210113529"]},{"raw_affiliation_string":"Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I3006985408"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082251109","display_name":"Gregor Kosec","orcid":"https://orcid.org/0000-0002-6381-9078"},"institutions":[{"id":"https://openalex.org/I3006985408","display_name":"Jo\u017eef Stefan Institute","ror":"https://ror.org/05060sz93","country_code":"SI","type":"facility","lineage":["https://openalex.org/I3006985408"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Gregor Kosec","raw_affiliation_strings":["Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia"],"raw_orcid":"https://orcid.org/0000-0002-6381-9078","affiliations":[{"raw_affiliation_string":"Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I3006985408"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076127884"],"corresponding_institution_ids":["https://openalex.org/I153976015","https://openalex.org/I3006985408"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.8948,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.92235047,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"515","last_page":"522"},"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":0.9995999932289124,"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":0.9984999895095825,"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/stencil","display_name":"Stencil","score":0.987381100654602},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.7414753437042236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5482384562492371},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.5441199541091919},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.5169233679771423},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5074867606163025},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4477632939815521},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4426555633544922},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4350108504295349},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4121634364128113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36200588941574097},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34694117307662964},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26895081996917725},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18980705738067627},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.13026392459869385},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.11391222476959229},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08917215466499329},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0828249454498291}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.987381100654602},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.7414753437042236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5482384562492371},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5441199541091919},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.5169233679771423},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5074867606163025},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4477632939815521},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4426555633544922},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4350108504295349},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4121634364128113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36200588941574097},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34694117307662964},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26895081996917725},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18980705738067627},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.13026392459869385},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.11391222476959229},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08917215466499329},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0828249454498291},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-36027-5_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-36027-5_40","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1993323295","https://openalex.org/W2560552443","https://openalex.org/W2805851569","https://openalex.org/W2907465467","https://openalex.org/W3108396697","https://openalex.org/W3158280235","https://openalex.org/W4220722376","https://openalex.org/W4283708142","https://openalex.org/W4321248156"],"related_works":["https://openalex.org/W3105129168","https://openalex.org/W4316371992","https://openalex.org/W2186216222","https://openalex.org/W2392765154","https://openalex.org/W2564509292","https://openalex.org/W2008005532","https://openalex.org/W1971603802","https://openalex.org/W1795008753","https://openalex.org/W4255540064","https://openalex.org/W4231592336"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
