Polynomial approximation of anisotropic analytic functions of several variables
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Publication:2663138
DOI10.1007/s00365-020-09511-4zbMath1462.41003arXiv1904.12105OpenAlexW3042760561MaRDI QIDQ2663138
Andrea Bonito, Ronald A. DeVore, Peter Jantsch, Diane Guignard, Guergana Petrova
Publication date: 15 April 2021
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.12105
Error bounds for boundary value problems involving PDEs (65N15) Multidimensional problems (41A63) Approximation by polynomials (41A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
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Cites Work
- Unnamed Item
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- On tensor product approximation of analytic functions
- Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients
- Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
- An upper estimate of integral points in real simplices with an application to singularity theory
- Simple upper bounds for partition functions
- On a problem of Oppenheim concerning Factorisatio Numerorum
- Adaptive finite element methods with convergence rates
- Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients
- Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs
- Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients
- Sparse Tensor Discretization of Elliptic sPDEs
- ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S
- ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS
- Multivariate Approximation in Downward Closed Polynomial Spaces
- Approximation of high-dimensional parametric PDEs
- Some results on Oppenheim's ``Factorisatio Numerorum function
- Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
- Lower and Upper Bounds for the Number of Lattice Points in a Simplex
