Sampling and Stability

DOI10.1007/978-3-642-11620-9_23zbMath1274.65022OpenAlexW1605660994MaRDI QIDQ5189429

Robert Schaback, Christian Rieger, Barbara Zwicknagl

Publication date: 16 March 2010

Published in: Mathematical Methods for Curves and Surfaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11620-9_23

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Learning and adaptive systems in artificial intelligence (68T05) Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Inequalities involving other types of functions (26D07)

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The meshless kernel-based method of lines for parabolic equations ⋮ Superconvergence of kernel-based interpolation ⋮ Interpolation and approximation in Taylor spaces ⋮ \(L^2\) error estimates of unsymmetric RBF collocation for second order quasilinear elliptic equations ⋮ Unnamed Item ⋮ Error bounds for a least squares meshless finite difference method on closed manifolds ⋮ Parametric model order reduction with a small \(\mathcal H_2\)-error using radial basis functions ⋮ A Kernel-Based Embedding Method and Convergence Analysis for Surfaces PDEs ⋮ Extension of sampling inequalities to Sobolev semi-norms of fractional order and derivative data ⋮ Sampling inequalities in Sobolev spaces ⋮ Improved exponential convergence rates by oversampling near the boundary ⋮ Sampling Inequalities and Support Vector Machines for Galerkin Type Data ⋮ Regularized kernel-based reconstruction in generalized Besov spaces ⋮ Sampling inequalities for sparse grids ⋮ An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels ⋮ A nonlinear discretization theory ⋮ An approximation theorist's view on solving operator equations -- with special attention to Trefftz, MFS, MPS, and DRM methods ⋮ Small perturbations of polynomial meshes ⋮ Multiscale Approximation and Reproducing Kernel Hilbert Space Methods ⋮ Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations

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