Sampling and cubature on sparse grids based on a B-spline quasi-interpolation
type: Item
instance of: scholarly article
title: Sampling and cubature on sparse grids based on a B-spline quasi-interpolation
zbMATH Open document ID: 1359.41001
published in: Foundations of Computational Mathematics
publication date: 2017-03-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1211.4319
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6695905
zbMATH Keywords: linear sampling algorithms
zbMATH Keywords: optimal sampling recovery
zbMATH Keywords: cubature formulas
zbMATH Keywords: optimal cubature
zbMATH Keywords: sparse grids
zbMATH Keywords: Besov-type spaces of anisotropic smoothness
zbMATH Keywords: B-spline quasi-interpolation representations
author: Dinh Dũng
MaRDI profile type: Publication
OpenAlex ID: W76303595
arXiv ID: 1211.4319
cites work: Q3280239
cites work: Functional equations in the theory of dynamic programming. III
cites work: Q4112938
cites work: An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations
cites work: A note on the complexity of solving Poisson's equation for spaces of bounded mixed derivatives
cites work: Sparse grids
cites work: Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in \(H^\gamma\)
cites work: Q4003151
cites work: Box splines
cites work: Q4273944
cites work: Number of integral points in a certain set and the approximation of functions of several variables
cites work: Q3772674
cites work: Q4694392
cites work: Q4485969
cites work: Non-linear sampling recovery based on quasi-interpolant wavelet representations
cites work: Optimal adaptive sampling recovery
cites work: B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
cites work: \(N\)-widths and \(\varepsilon \)-dimensions for high-dimensional approximations
cites work: Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square
cites work: Fitting multidimensional data using gradient penalties and the sparse grid combination technique
cites work: Numerical integration using sparse grids
cites work: Q3549931
cites work: Fast Discrete Fourier Transform on Generalized Sparse Grids
cites work: A note on the construction of \(L\)-fold sparse tensor product spaces
cites work: On the construction of sparse tensor product spaces
cites work: Dimension-wise integration of high-dimensional functions with applications to finance
cites work: Optimized general sparse grid approximation spaces for operator equations
cites work: The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces
cites work: Q4064526
cites work: Function spaces in Lipschitz domains and optimal rates of convergence for sampling
cites work: Tractability of multivariate problems. Volume I: Linear information
cites work: Tractability of multivariate problems. Volume II: Standard information for functionals.
cites work: Q5864575
cites work: Spline interpolation on sparse grids
cites work: Q5600030
cites work: Some estimates for trigonometric series with quasi-convex coefficients
cites work: Q3027578
cites work: On approximate recovery of functions with bounded mixed derivative
cites work: Q4348451
cites work: Q4836063
cites work: Bases in function spaces, sampling, discrepancy, numerical integration
cites work: Q3001708
cites work: Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces
cites work: The hyperbolic cross space approximation of electronic wavefunctions
cites work: Regularity and approximability of electronic wave functions
cites work: The mixed regularity of electronic wave functions multiplied by explicit correlation factors
cites work: Q4010713
DOI: 10.1007/S10208-015-9274-8
description: scientific article