Seminario Dottorato: “Kernel-based methods: a general overview”

Wednesday 28 March 2018, h. 14:30 - Room 2BC30 - Emma Perracchione

ARGOMENTI: Seminars Ph.D. Program

Wednesday 28 March 2018 h. 14:30, Room 2BC30
Emma Perracchione (Padova, Dip. Mat.)
“Kernel-based methods: a general overview”

In this talk we present the general theory of Radial Basis Function (RBF) interpolation. In doing so, we follow the exposition line of the two books by G.E. Fasshauer (2007) and H. Wendland (2005). Such works provide a recent and extensive treatment about the theory of RBF-based meshless approximation methods. Thus, following their guidelines, we review the main theoretical features concerning positive definite functions and RBFs. Error bounds and error estimates for kernel-based interpolants will be presented as well. Moreover, all the results will be supported by basic numerical experiments carried out during the seminar with Matlab. To conclude, we also briefly review some recent research topics on RBF interpolation.

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