Multivariate Discrete Least-Squares Approximations with a New Type of Collocation Grid

DOI10.1137/130950434zbMath1305.41012arXiv1401.0894OpenAlexW2023427312MaRDI QIDQ2940014

Tao Zhou, Zhiqiang Xu, Akil C. Narayan

Publication date: 23 January 2015

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

Full work available at URL: https://arxiv.org/abs/1401.0894

zbMATH Keywords

stabilityChebyshev polynomialsuncertainty quantificationdiscrete least-squares approximations

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by polynomials (41A10)

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