{"id":"https://openalex.org/W4400765796","doi":"https://doi.org/10.3390/computation12070149","title":"Multilevel Quasi-Interpolation on Chebyshev Sparse Grids","display_name":"Multilevel Quasi-Interpolation on Chebyshev Sparse Grids","publication_year":2024,"publication_date":"2024-07-18","ids":{"openalex":"https://openalex.org/W4400765796","doi":"https://doi.org/10.3390/computation12070149"},"language":"en","primary_location":{"id":"doi:10.3390/computation12070149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12070149","pdf_url":"https://www.mdpi.com/2079-3197/12/7/149/pdf?version=1721305668","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/2079-3197/12/7/149/pdf?version=1721305668","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":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08466984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"7","first_page":"149","last_page":"149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9976999759674072,"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":0.9976999759674072,"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/T10514","display_name":"Numerical methods in engineering","score":0.9922000169754028,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9916999936103821,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7041728496551514},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.5993213653564453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4731020927429199},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.43536341190338135},{"id":"https://openalex.org/keywords/sparse-grid","display_name":"Sparse grid","score":0.4263913333415985},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4193263053894043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38641971349716187},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3858504891395569},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.21417927742004395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20439183712005615},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12908509373664856}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7041728496551514},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5993213653564453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4731020927429199},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.43536341190338135},{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.4263913333415985},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4193263053894043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38641971349716187},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3858504891395569},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.21417927742004395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20439183712005615},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12908509373664856},{"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/computation12070149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12070149","pdf_url":"https://www.mdpi.com/2079-3197/12/7/149/pdf?version=1721305668","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:99754f5225834fe7b91989efd10c7936","is_oa":true,"landing_page_url":"https://doaj.org/article/99754f5225834fe7b91989efd10c7936","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 7, p 149 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation12070149","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12070149","pdf_url":"https://www.mdpi.com/2079-3197/12/7/149/pdf?version=1721305668","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":[{"id":"https://openalex.org/F4320320276","display_name":"University of Leicester","ror":"https://ror.org/04h699437"},{"id":"https://openalex.org/F4320321161","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400765796.pdf","grobid_xml":"https://content.openalex.org/works/W4400765796.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1980387166","https://openalex.org/W1985078796","https://openalex.org/W1997449464","https://openalex.org/W2051740274","https://openalex.org/W2060112804","https://openalex.org/W2068434577","https://openalex.org/W2074797641","https://openalex.org/W2074819117","https://openalex.org/W2481312347","https://openalex.org/W2574942566","https://openalex.org/W4306290617","https://openalex.org/W4396222381","https://openalex.org/W6665251182","https://openalex.org/W6669145261","https://openalex.org/W6889169979"],"related_works":["https://openalex.org/W2389430631","https://openalex.org/W2237649730","https://openalex.org/W3139755018","https://openalex.org/W2390710574","https://openalex.org/W2159052351","https://openalex.org/W2382532955","https://openalex.org/W2106962382","https://openalex.org/W2541927208","https://openalex.org/W4213342932","https://openalex.org/W2056379897"],"abstract_inverted_index":{"This":[0],"paper":[1,19],"investigates":[2],"the":[3,24,40,54,59,81],"potential":[4],"of":[5,43,58,80],"utilising":[6],"multilevel":[7,60],"quasi-interpolation":[8,32],"techniques":[9],"on":[10],"Chebyshev":[11,28],"sparse":[12,29],"grids":[13,30],"for":[14,26],"complex":[15],"numerical":[16,48],"computations.":[17],"The":[18,71],"starts":[20],"by":[21],"laying":[22],"down":[23],"motivations":[25],"choosing":[27],"and":[31,56,68,84],"methods":[33,63],"with":[34,64,93],"Gaussian":[35],"kernels.":[36],"It":[37],"delves":[38],"into":[39],"practical":[41],"aspects":[42],"implementing":[44],"these":[45],"techniques.":[46],"Various":[47],"experiments":[49],"are":[50],"performed":[51],"to":[52,75],"evaluate":[53],"efficiency":[55,83],"limitations":[57],"quasi-sparse":[61],"interpolation":[62],"dimensions":[65],"two":[66],"dimension":[67],"three":[69],"dimension.":[70],"work":[72],"ultimately":[73],"aims":[74],"provide":[76],"a":[77],"comprehensive":[78],"understanding":[79],"computational":[82],"accuracy":[85],"achievable":[86],"through":[87],"this":[88],"approach,":[89],"comparing":[90],"its":[91],"performance":[92],"traditional":[94],"methods.":[95]},"counts_by_year":[],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}
