Refine my results

Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology

Ben Bader, Seif ; Benedusi, Pietro ; Quaglino, Alessio ; Zulian, Patrick ; Krause, Rolf

In: Journal of computational physics, 2021, vol. 433, p. 17 p

We present a novel approach aimed at high-performance uncertainty quantification for time-dependent problems governed by partial differential equations. In particular, we consider input uncertainties described by a Karhunen-Loève expansion and compute statistics of high-dimensional quantities-of-interest, such as the cardiac activation potential. Our methodology relies on a close integration...