scientific article; zbMATH DE number 5018239

zbMath1090.65066MaRDI QIDQ5200732

Tsutomu Matsuura, Md. Asaduzzaman, Saburou Saitoh

Publication date: 11 April 2006

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

inverse problemslinear differential equationsinversion formulareproducing kernel Hilbert spaceGaussian convolution

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for integral equations (65R32) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

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Support vector machine adapted Tikhonov regularization method to solve Dirichlet problem ⋮ General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces ⋮ Dirichlet’s Problem by Using Computers with the Theory of Reproducing Kernels ⋮ Inversion formulas in the Dunkl-type heat conduction on ⋮ Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley–Wiener spaces

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