Reproducing Kernels and Discretization

Bibliographic Details
Main Author: Castro, L. P.
Publication Date: 2015
Other Authors: Fujiwara, H., Rodrigues, M. M., Saitoh, S., Tuan, V. K.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/14634
Summary: 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.
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spelling Reproducing Kernels and DiscretizationReproducing kernelAveiro discretizationLinear operator equationApproximate solutionNumerical problemWe 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.Springer2018-07-20T14:00:50Z2015-01-01T00:00:00Z20152016-01-01T12:00:00Zbook partinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/14634eng978-3-319-12576-32297-021510.1007/978-3-319-12577-0_61Castro, L. P.Fujiwara, H.Rodrigues, M. M.Saitoh, S.Tuan, V. K.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:54:59Zoai:ria.ua.pt:10773/14634Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:50:59.882197Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Reproducing Kernels and Discretization
title Reproducing Kernels and Discretization
spellingShingle Reproducing Kernels and Discretization
Castro, L. P.
Reproducing kernel
Aveiro discretization
Linear operator equation
Approximate solution
Numerical problem
title_short Reproducing Kernels and Discretization
title_full Reproducing Kernels and Discretization
title_fullStr Reproducing Kernels and Discretization
title_full_unstemmed Reproducing Kernels and Discretization
title_sort Reproducing Kernels and Discretization
author Castro, L. P.
author_facet Castro, L. P.
Fujiwara, H.
Rodrigues, M. M.
Saitoh, S.
Tuan, V. K.
author_role author
author2 Fujiwara, H.
Rodrigues, M. M.
Saitoh, S.
Tuan, V. K.
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Castro, L. P.
Fujiwara, H.
Rodrigues, M. M.
Saitoh, S.
Tuan, V. K.
dc.subject.por.fl_str_mv Reproducing kernel
Aveiro discretization
Linear operator equation
Approximate solution
Numerical problem
topic Reproducing kernel
Aveiro discretization
Linear operator equation
Approximate solution
Numerical problem
description 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.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2015
2016-01-01T12:00:00Z
2018-07-20T14:00:50Z
dc.type.driver.fl_str_mv book part
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/14634
url http://hdl.handle.net/10773/14634
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-319-12576-3
2297-0215
10.1007/978-3-319-12577-0_61
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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