Dirichlet’s Problem by Using Computers with the Theory of Reproducing Kernels

DOI10.1007/978-3-319-12577-0_62zbMath1323.31009OpenAlexW2301963084MaRDI QIDQ2949314

Tsutomu Matsuura, Saburou Saitoh

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12577-0_62

zbMATH Keywords

Dirichlet probleminverse problemLaplace equationreproducing kernelTikhonov regularization

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Cites Work

• Approximate real inversion formulas of the gaussian convolution
• Numerical solutions of the poisson equation
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