{"id":"https://openalex.org/W3089859749","doi":"https://doi.org/10.1007/978-3-030-58799-4_10","title":"Multivalue Almost Collocation Methods with Diagonal Coefficient Matrix","display_name":"Multivalue Almost Collocation Methods with Diagonal Coefficient Matrix","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3089859749","doi":"https://doi.org/10.1007/978-3-030-58799-4_10","mag":"3089859749"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-58799-4_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-58799-4_10","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":"conference-paper","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/A5078408952","display_name":"Dajana Conte","orcid":"https://orcid.org/0000-0001-8486-6861"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Dajana Conte","raw_affiliation_strings":["Department of Mathematics, University of Salerno, Fisciano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087607360","display_name":"Raffaele D\u2019Ambrosio","orcid":"https://orcid.org/0000-0001-5178-5416"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Raffaele D\u2019Ambrosio","raw_affiliation_strings":["Department of Engineering and Computer Science and Mathematics, University of L\u2019Aquila, L\u2019Aquila, Italy","Department of Engineering and Computer Science and Mathematics, University of L'Aquila, L'Aquila, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering and Computer Science and Mathematics, University of L\u2019Aquila, L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Department of Engineering and Computer Science and Mathematics, University of L'Aquila, L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088966824","display_name":"Maria Pia D\u2019Arienzo","orcid":"https://orcid.org/0000-0002-9870-6671"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maria Pia D\u2019Arienzo","raw_affiliation_strings":["Department of Mathematics, University of Salerno, Fisciano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082093853","display_name":"Beatrice Paternoster","orcid":"https://orcid.org/0000-0002-9712-1364"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Beatrice Paternoster","raw_affiliation_strings":["Department of Mathematics, University of Salerno, Fisciano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088966824"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21052632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"135","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.7973674535751343},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.7778390645980835},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.7566003799438477},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6751490831375122},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.6342469453811646},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5988678932189941},{"id":"https://openalex.org/keywords/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.5818886160850525},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5623382329940796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5609021782875061},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5408177971839905},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.49401718378067017},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4518600404262543},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4137827157974243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36162668466567993},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3349609076976776},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24104738235473633},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0876854658126831},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05648094415664673}],"concepts":[{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.7973674535751343},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.7778390645980835},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7566003799438477},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6751490831375122},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.6342469453811646},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5988678932189941},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.5818886160850525},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5623382329940796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5609021782875061},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5408177971839905},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.49401718378067017},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4518600404262543},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4137827157974243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36162668466567993},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3349609076976776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24104738235473633},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0876854658126831},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05648094415664673},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-58799-4_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-58799-4_10","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W1187508361","https://openalex.org/W1492478302","https://openalex.org/W1493173425","https://openalex.org/W1506268130","https://openalex.org/W1509923322","https://openalex.org/W1675543400","https://openalex.org/W1969122636","https://openalex.org/W1972053220","https://openalex.org/W1981846792","https://openalex.org/W1999110415","https://openalex.org/W2000531430","https://openalex.org/W2014059554","https://openalex.org/W2026029552","https://openalex.org/W2032662168","https://openalex.org/W2035291343","https://openalex.org/W2039319854","https://openalex.org/W2047079916","https://openalex.org/W2051364687","https://openalex.org/W2052892450","https://openalex.org/W2057450830","https://openalex.org/W2061986119","https://openalex.org/W2073144604","https://openalex.org/W2073224874","https://openalex.org/W2091615270","https://openalex.org/W2093623493","https://openalex.org/W2111917268","https://openalex.org/W2127812169","https://openalex.org/W2129116604","https://openalex.org/W2138301603","https://openalex.org/W2144375544","https://openalex.org/W2154497431","https://openalex.org/W2157510603","https://openalex.org/W2162945468","https://openalex.org/W2185248438","https://openalex.org/W2304063493","https://openalex.org/W2396186172","https://openalex.org/W2412992565","https://openalex.org/W2480201659","https://openalex.org/W2508477402","https://openalex.org/W2586710356","https://openalex.org/W2588795372","https://openalex.org/W2593627983","https://openalex.org/W2617007352","https://openalex.org/W2782798886","https://openalex.org/W2790068800","https://openalex.org/W2791210196","https://openalex.org/W2792699069","https://openalex.org/W2792762555","https://openalex.org/W2794101437","https://openalex.org/W2807720582","https://openalex.org/W2808956395","https://openalex.org/W2913293915","https://openalex.org/W2955798454","https://openalex.org/W2975308123","https://openalex.org/W2981852941","https://openalex.org/W3214781692","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W2791210196","https://openalex.org/W2078318892","https://openalex.org/W4255016916","https://openalex.org/W2111003632","https://openalex.org/W1987365920","https://openalex.org/W2889856026","https://openalex.org/W1989122168","https://openalex.org/W2150070385","https://openalex.org/W2000247808","https://openalex.org/W2384941625"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
