{"id":"https://openalex.org/W1985783591","doi":"https://doi.org/10.1016/j.matcom.2007.08.021","title":"Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes","display_name":"Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes","publication_year":2007,"publication_date":"2007-09-08","ids":{"openalex":"https://openalex.org/W1985783591","doi":"https://doi.org/10.1016/j.matcom.2007.08.021","mag":"1985783591"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2007.08.021","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00071295/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045297060","display_name":"Fran\u00e7oise Foucher","orcid":null},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7oise Foucher","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Jean Leray, Ecole Centrale de Nantes, BP 92101, 44321 Nantes Cedex 3, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Jean Leray, Ecole Centrale de Nantes, BP 92101, 44321 Nantes Cedex 3, France#TAB#","institution_ids":["https://openalex.org/I100445878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041868556","display_name":"Paul Sablonni\u00e8re","orcid":null},"institutions":[{"id":"https://openalex.org/I28221208","display_name":"Institut National des Sciences Appliqu\u00e9es de Rennes","ror":"https://ror.org/04xaa4j22","country_code":"FR","type":"education","lineage":["https://openalex.org/I28221208"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paul Sablonni\u00e8re","raw_affiliation_strings":["Centre de Math\u00e9matiques, INSA de Rennes, CS 14315, 35043 Rennes Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Centre de Math\u00e9matiques, INSA de Rennes, CS 14315, 35043 Rennes Cedex, France#TAB#","institution_ids":["https://openalex.org/I28221208"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1740,"currency":"USD","value_usd":1740,"provenance":"doaj"},"apc_paid":null,"fwci":3.276,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":23,"citation_normalized_percentile":{"value":0.833132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":89},"biblio":{"volume":"77","issue":"2-3","first_page":"202","last_page":"208"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9978,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9902,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.74316055},{"id":"https://openalex.org/keywords/perfect-spline","display_name":"Perfect spline","score":0.65036726},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.57904524},{"id":"https://openalex.org/keywords/m-spline","display_name":"M-spline","score":0.5687957},{"id":"https://openalex.org/keywords/polyharmonic-spline","display_name":"Polyharmonic spline","score":0.49590477}],"concepts":[{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.74316055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.73533106},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.73203003},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.68914855},{"id":"https://openalex.org/C205224112","wikidata":"https://www.wikidata.org/wiki/Q4426180","display_name":"Perfect spline","level":5,"score":0.65036726},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.59205055},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.57904524},{"id":"https://openalex.org/C199765470","wikidata":"https://www.wikidata.org/wiki/Q6712116","display_name":"M-spline","level":5,"score":0.5687957},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.53862274},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5211758},{"id":"https://openalex.org/C120742014","wikidata":"https://www.wikidata.org/wiki/Q7226491","display_name":"Polyharmonic spline","level":5,"score":0.49590477},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47955605},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.39232114},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.32475674},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31836388},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14927614},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2007.08.021","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00071295","pdf_url":"https://hal.science/hal-00071295/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00071295/file/MamernO5_Foucher_Sablonniere.pdf","pdf_url":"https://hal.science/hal-00071295/file/MamernO5_Foucher_Sablonniere.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00071295/document","pdf_url":"https://hal.archives-ouvertes.fr/hal-00071295/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00071295/file/MamernO5_Foucher_Sablonniere.pdf","pdf_url":"https://hal.archives-ouvertes.fr/hal-00071295/file/MamernO5_Foucher_Sablonniere.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hal.science/hal-00071295","pdf_url":"https://hal.science/hal-00071295/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":11,"referenced_works":["https://openalex.org/W1565212980","https://openalex.org/W194866236","https://openalex.org/W1987386116","https://openalex.org/W2169299030","https://openalex.org/W2480600969","https://openalex.org/W2612706235","https://openalex.org/W2801847010","https://openalex.org/W291003596","https://openalex.org/W2934526567","https://openalex.org/W3173138228","https://openalex.org/W4205634890"],"related_works":["https://openalex.org/W2357629995","https://openalex.org/W2117487173","https://openalex.org/W2102842245","https://openalex.org/W2094336842","https://openalex.org/W2089981061","https://openalex.org/W2068323532","https://openalex.org/W2037646920","https://openalex.org/W2037532746","https://openalex.org/W2033831925","https://openalex.org/W2033534238"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1985783591","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2024-12-19T17:14:37.903634","created_date":"2016-06-24"}