{"title":"渐进迭代勋伯格-马斯登变异递减算子及相关二次函数","authors":"Elena Fornaca, Paola Lamberti","doi":"10.1016/j.apnum.2024.08.014","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we propose an approximation method based on the classical Schoenberg-Marsden variation diminishing operator with applications to the construction of new quadrature rules. We compare the new operator with the multilevel one studied in <span><span>[12]</span></span> in order to characterize both of them with respect to the well known classical one. We discuss convergence properties and present numerical experiments.</p></div>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168927424002101/pdfft?md5=6508653513a118f94937cbfd3c6e9f93&pid=1-s2.0-S0168927424002101-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Progressive iterative Schoenberg-Marsden variation diminishing operator and related quadratures\",\"authors\":\"Elena Fornaca, Paola Lamberti\",\"doi\":\"10.1016/j.apnum.2024.08.014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we propose an approximation method based on the classical Schoenberg-Marsden variation diminishing operator with applications to the construction of new quadrature rules. We compare the new operator with the multilevel one studied in <span><span>[12]</span></span> in order to characterize both of them with respect to the well known classical one. We discuss convergence properties and present numerical experiments.</p></div>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0168927424002101/pdfft?md5=6508653513a118f94937cbfd3c6e9f93&pid=1-s2.0-S0168927424002101-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0168927424002101\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0168927424002101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
Progressive iterative Schoenberg-Marsden variation diminishing operator and related quadratures
In this paper we propose an approximation method based on the classical Schoenberg-Marsden variation diminishing operator with applications to the construction of new quadrature rules. We compare the new operator with the multilevel one studied in [12] in order to characterize both of them with respect to the well known classical one. We discuss convergence properties and present numerical experiments.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
