On Multilevel Quadrature for Elliptic Stochastic Partial Differential Equations
On Multilevel Quadrature for Elliptic Stochastic Partial Differential Equations
In this article, we show that the multilevel Monte Carlo method for elliptic stochastic partial differential equations is a sparse grid approximation. By using this interpretation, the method can straightforwardly be generalized to any given quadrature rule for high dimensional integrals like the quasi Monte Carlo method or the polynomial …