514 citations · 1.3k across the 26 of their papers we have counts for
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math.NA2011★ 10 cited
A Lanczos Method for Approximating Composite Functions
Paul G. Constantine, Eric T. Phipps
We seek to approximate a composite function h(x) = g(f(x)) with a global polynomial. The standard approach chooses points x in the domain of f and computes h(x) at each point, whic…
math.NA2011★ 196 cited
Sparse Pseudospectral Approximation Method
Paul G. Constantine, Michael S. Eldred, Eric T. Phipps
Multivariate global polynomial approximations - such as polynomial chaos or stochastic collocation methods - are now in widespread use for sensitivity analysis and uncertainty quan…