Adaptive error estimation for linear functionals approximation and applications

dc.contributor.authorChen, Chin-Yun
dc.date.accessioned2024-07-12T20:51:45Z
dc.date.available2024-07-12T20:51:45Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWhile concerning numerical approximation to bounded linear functionals, the approximate errors are generally discussed by derivatives of the highest orders regarding the exactness degrees of the approximate functionals. This approach, however, is only valid for functions with sufficient smoothness. For less smooth functions, the Peano/Sard kernels theorems are known to be useful tools. Actually, the Peano/Sard theorems supply error representations of full orders, including the highest order representation. Therefore, depending on the smoothness of the underlying functions, there can be more alternatives to represent an approximation error. It thus makes adaptive local error estimation possible. These important mathematical results have no more only the theoretical values, by automatic differetiation and interval arithmetic, the kernels method finally can be realized in numerical computation on computers. One critical task prior to their applications is the nontrivial calculation of Peano Sard constants. The talk will present all these aspects and their applications in numerical integration.en_US
dc.identifier.citationChen, C. (2009). Adaptive error estimation for linear functionals approximation and applications. Maltepe Üniversitesi. s. 129en_US
dc.identifier.endpage130en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage129en_US
dc.identifier.urihttps://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2458
dc.institutionauthorChen, Chin-Yun
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07823
dc.titleAdaptive error estimation for linear functionals approximation and applicationsen_US
dc.typeConference Object
dspace.entity.typePublication

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