Reproducing Kernels and Discretization

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, ind...

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Detalhes bibliográficos
Autor principal: Castro, L. P. (author)
Outros Autores: Fujiwara, H. (author), Rodrigues, M. M. (author), Saitoh, S. (author), Tuan, V. K. (author)
Formato: bookPart
Idioma:eng
Publicado em: 2018
Assuntos:
Texto completo:http://hdl.handle.net/10773/14634
País:Portugal
Oai:oai:ria.ua.pt:10773/14634
Descrição
Resumo: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.