173 citations · 1.2k across the 31 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.NA2014★ 73 cited
A Christoffel function weighted least squares algorithm for collocation approximations
Akil Narayan, John D. Jakeman, Tao Zhou
We propose, theoretically investigate, and numerically validate an algorithm for the Monte Carlo solution of least-squares polynomial approximation problems in a collocation frame-…
math.NA2014★ 6 cited
On discrete least square projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification
Tao Tang, Tao Zhou
This work is concerned with approximating multivariate functions in unbounded domain by using discrete least-squares projection with random points evaluations. Particular attention…
math.NA2014
Multivariate discrete least-squares approximations with a new type of collocation grid
Tao Zhou, Akil Narayan, Zhiqiang Xu
In this work, we discuss the problem of approximating a multivariate function by discrete least squares projection onto a polynomial space using a specially designed deterministic…