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pro vyhledávání: '"Auchmuty, Giles"'
Autor:
Auchmuty, Giles
This paper describes the singular value decomposition (SVD) of the Poisson kernel for the Dirichlet problem for the Laplacian on bounded regions in R^N, N >=2. This operator is a compact linear transformation from L^2 of the boundary to L^2 of the re
Externí odkaz:
http://arxiv.org/abs/1610.06836
Autor:
Auchmuty, Giles
New 2-norm bounds for solutions of planar div-curl boundary value problems on bounded planar regions are described. Prescribed flux, tangential trace and mixed boundary boundary are treated. A harmonic decomposition is used to separate components of
Externí odkaz:
http://arxiv.org/abs/1610.06827
Autor:
Auchmuty, Giles, Cho, Manki
Error estimates for approximations of harmonic functions on planar regions by subspaces spanned by the first harmonic Steklov eigenfunctions are found. They are based on the explicit representation of harmonic functions in terms of these harmonic Ste
Externí odkaz:
http://arxiv.org/abs/1609.07400
Autor:
Auchmuty, Giles, Rivas, M. A.
Characterizations of eigenvalues and eigenfunctions of the Laplacian on a product domain are obtained. When zero Dirichlet, Robin or Neumann boundary conditions are specified on each factor, then the eigenfunctions on the product domain are precisely
Externí odkaz:
http://arxiv.org/abs/1511.01834
Autor:
Auchmuty, Giles, Cho, Manki
Formulae for the value of a harmonic function at the center of a rectangle are found that involve boundary integrals. The central value of a harmonic function is shown to be well approximated by the mean value of the function on the boundary plus a v
Externí odkaz:
http://arxiv.org/abs/1411.1443
Autor:
Auchmuty, Giles
Publikováno v:
In Computers and Mathematics with Applications 15 March 2018 75(6):1882-1886
Autor:
AUCHMUTY, GILES
Publikováno v:
Quarterly of Applied Mathematics, 2017 Sep 01. 75(3), 505-524.
Externí odkaz:
https://www.jstor.org/stable/26835347
Autor:
Auchmuty, Giles
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 1998 Feb 01. 454(1970), 607-630.
Externí odkaz:
https://www.jstor.org/stable/53196
Autor:
Auchmuty, Giles, Rivas, M.A.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 March 2016 435(1):842-859
Autor:
AUCHMUTY, GILES, SIMPKINS, DOUGLAS R.
Publikováno v:
Quarterly of Applied Mathematics, 2016 Sep 01. 74(3), 429-441.
Externí odkaz:
https://www.jstor.org/stable/26835302