{"id":"https://openalex.org/W4396859180","doi":"https://doi.org/10.3390/computation12050100","title":"Quasi-Interpolation on Chebyshev Grids with Boundary Corrections","display_name":"Quasi-Interpolation on Chebyshev Grids with Boundary Corrections","publication_year":2024,"publication_date":"2024-05-13","ids":{"openalex":"https://openalex.org/W4396859180","doi":"https://doi.org/10.3390/computation12050100"},"language":"en","primary_location":{"id":"doi:10.3390/computation12050100","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12050100","pdf_url":"https://www.mdpi.com/2079-3197/12/5/100/pdf?version=1715589676","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/12/5/100/pdf?version=1715589676","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065077696","display_name":"Faisal Alsharif","orcid":"https://orcid.org/0009-0004-3428-9946"},"institutions":[{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Faisal Alsharif","raw_affiliation_strings":["Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 30002, Saudi Arabia"],"raw_orcid":"https://orcid.org/0009-0004-3428-9946","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 30002, Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065077696"],"corresponding_institution_ids":["https://openalex.org/I23075662"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.324,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55372226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"5","first_page":"100","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.992900013923645,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.71714186668396},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.673620343208313},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5777422189712524},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5086504220962524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.468340128660202},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.45381516218185425},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45273298025131226},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4522460401058197},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.4137614369392395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37567785382270813},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2815132141113281},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.19618159532546997}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.71714186668396},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.673620343208313},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5777422189712524},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5086504220962524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.468340128660202},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.45381516218185425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45273298025131226},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4522460401058197},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.4137614369392395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37567785382270813},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2815132141113281},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.19618159532546997},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation12050100","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12050100","pdf_url":"https://www.mdpi.com/2079-3197/12/5/100/pdf?version=1715589676","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d94edd7d105f442a89660c6229c05274","is_oa":true,"landing_page_url":"https://doaj.org/article/d94edd7d105f442a89660c6229c05274","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 12, Iss 5, p 100 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation12050100","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12050100","pdf_url":"https://www.mdpi.com/2079-3197/12/5/100/pdf?version=1715589676","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396859180.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1486164486","https://openalex.org/W1595182422","https://openalex.org/W1977042664","https://openalex.org/W1997449464","https://openalex.org/W2015725973","https://openalex.org/W2038754808","https://openalex.org/W2067671307","https://openalex.org/W2068434577","https://openalex.org/W2076963649","https://openalex.org/W2127689830","https://openalex.org/W4205815276","https://openalex.org/W4212997603","https://openalex.org/W4251512373","https://openalex.org/W4254246953","https://openalex.org/W4290786229","https://openalex.org/W4306290617"],"related_works":["https://openalex.org/W2021099221","https://openalex.org/W2112919228","https://openalex.org/W1988318322","https://openalex.org/W4390947848","https://openalex.org/W4323652453","https://openalex.org/W2136992695","https://openalex.org/W2179563627","https://openalex.org/W1866822838","https://openalex.org/W2106962382","https://openalex.org/W2382532955"],"abstract_inverted_index":{"Quasi-interpolation":[0],"is":[1],"a":[2,46,69,154],"powerful":[3],"tool":[4],"for":[5,107,175],"approximating":[6],"functions":[7,11,91],"using":[8,52],"radial":[9],"basis":[10],"(RBFs)":[12],"such":[13],"as":[14,24],"Gaussian":[15,31,50],"kernels.":[16],"This":[17,43,151],"avoids":[18],"solving":[19],"large":[20],"systems":[21],"of":[22,72],"equations":[23],"in":[25],"RBF":[26],"interpolation.":[27],"However,":[28],"quasi-interpolation":[29,47,104,142,158],"with":[30,49,118,125],"kernels":[32,51],"on":[33,89,143],"compact":[34,144],"intervals":[35,145],"can":[36],"have":[37],"significant":[38],"errors":[39,98,167],"near":[40,62,100],"the":[41,60,63,73,76,80,94,119,148,173],"boundaries.":[42,64],"paper":[44],"proposes":[45],"method":[48,96,135],"Chebyshev":[53,112,126],"points":[54,127],"and":[55,83,111,116,165],"boundary":[56,66,120,149,169,176],"corrections":[57,67,121],"to":[58,78,103,129,140,157],"improve":[59],"approximation":[61,71],"The":[65,114,133],"use":[68],"linear":[70],"function":[74],"beyond":[75],"interval":[77],"estimate":[79],"truncation":[81],"error":[82],"add":[84],"correction":[85],"terms.":[86],"Numerical":[87],"studies":[88],"test":[90],"show":[92],"that":[93],"proposed":[95,134],"reduces":[97],"significantly":[99,161],"boundaries":[101],"compared":[102,128],"without":[105],"corrections,":[106],"both":[108],"equally":[109,130],"spaced":[110,131],"points.":[113,132],"convergence":[115,163],"accuracy":[117],"are":[122],"generally":[123],"better":[124],"provides":[136],"an":[137],"efficient":[138],"way":[139],"perform":[141],"while":[146],"controlling":[147],"errors.":[150],"study":[152],"introduces":[153],"novel":[155],"approach":[156],"modification,":[159],"which":[160],"enhances":[162],"rates":[164],"minimizes":[166],"at":[168],"points,":[170],"thereby":[171],"advancing":[172],"methods":[174],"approximation.":[177]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}