Multilevel Sparse Kernel-Based Interpolation

DOI10.1137/110859610zbMath1266.65051arXiv1204.4153OpenAlexW1985078796MaRDI QIDQ5300119

Fazli Subhan, Emmanuil H. Georgoulis, Jeremy Levesley

Publication date: 26 June 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4153

zbMATH Keywords

multilevelradial basis functionssparse gridshyperbolic crosseskernel-based interpolation\(d\)-boolean interpolation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Multilevel quasi-interpolation on a sparse grid with the Gaussian ⋮ Adaptive piecewise Poly-Sinc methods for function approximation ⋮ High-dimensional approximation with kernel-based multilevel methods on sparse grids ⋮ On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients ⋮ Fully Symmetric Kernel Quadrature ⋮ Gaussian functions combined with Kolmogorov's theorem as applied to approximation of functions of several variables ⋮ Factorization, Symmetrization, and Truncated Transformation of Radial Basis Function-GA Stabilized Gaussian Radial Basis Functions ⋮ Sparse approximation of multilinear problems with applications to kernel-based methods in UQ ⋮ On the application of Gaussian functions for discretization of optimal control problems ⋮ Interpolation of exponential-type functions on a uniform grid by shifts of a basis function ⋮ Adaptive sparse approximations of scattered data

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