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Title: Reproducing Kernels and Discretization
Author: Castro, L. P.
Fujiwara, H.
Rodrigues, M. M.
Saitoh, S.
Tuan, V. K.
Keywords: Reproducing kernel
Aveiro discretization
Linear operator equation
Approximate solution
Numerical problem
Issue Date: 2015
Publisher: Springer
Abstract: We give a short survey of a general discretization method based on the theory of reproducing kernels. We believe our method will become the next generation method for solving analytical problems by computers. For example, for solving linear PDEs with general boundary or initial value conditions, independently of the domains. Furthermore, we give an ultimate sampling formula and a realization of reproducing kernel Hilbert spaces.
DOI: 10.1007/978-3-319-12577-0_61
ISBN: 978-3-319-12576-3
ISSN: 2297-0215
Appears in Collections:CIDMA - Capítulo de livro
FAAG - Capítulo de livro

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