Sampling recovery in Bochner spaces and applications to parametric PDEs
with random inputs
Sampling recovery in Bochner spaces and applications to parametric PDEs
with random inputs
We proved convergence rates of linear sampling recovery by extended least squares methods of functions in Bochner space satisfying some $\ell_2$-summability of their generalized polynomial chaos expansion coefficients. As applications we derive convergence rates of linear collocation approximation of solutions to parametric elliptic PDEs with random inputs, and of infinite …