Abstract
In this paper we shall give practical and numerical solutions of the Laplace equation on multidimensional spaces and show their numerical experiments by using computers. Our method is based on the Dirichlet principle by combinations with generalized inverses, Tikhonov’s regularization and the theory of reproducing kernels.
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References
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Matsuura, T., Saitoh, S. (2015). Dirichlet’s Problem by Using Computers with the Theory of Reproducing Kernels. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_62
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DOI: https://doi.org/10.1007/978-3-319-12577-0_62
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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