Generalized sparse grid interpolation based on the fast discrete Fourier transform
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Publication:2091290
DOI10.1007/978-3-030-81362-8_3zbMath1498.65039OpenAlexW4249829995MaRDI QIDQ2091290
Jan Hamaekers, Michael Griebel
Publication date: 1 November 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-81362-8_3
Numerical interpolation (65D05) Numerical methods for discrete and fast Fourier transforms (65T50) Multidimensional problems (41A63) Numerical approximation of high-dimensional functions; sparse grids (65D40)
Cites Work
- Unnamed Item
- The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces
- B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
- Dimension-wise integration of high-dimensional functions with applications to finance
- Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence
- Linear information versus function evaluations for \(L_2\)-approximation
- Bases in function spaces, sampling, discrepancy, numerical integration
- Fouriertransform on sparse grids with hierarchical bases
- Dimension-adaptive tensor-product quadrature
- Optimized tensor-product approximation spaces
- B-spline quasi-interpolation sampling representation and sampling recovery in Sobolev spaces of mixed smoothness
- Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
- Function values are enough for \(L_2\)-approximation
- Worst-case recovery guarantees for least squares approximation using random samples
- \(N\)-widths and \(\varepsilon \)-dimensions for high-dimensional approximations
- Spline interpolation on sparse grids
- Optimized general sparse grid approximation spaces for operator equations
- Fast Discrete Fourier Transform on Generalized Sparse Grids
- Sparse grids
- On the power of function values for the approximation problem in various settings
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