Background: Computational biomedical simulations frequently contain parameters that
model physical features, material coefficients, and physiological effects, whose values are …

The Fisher-Kolmogorov equation is a diffusion-reaction PDE that models the accumulation
of prionic proteins, which are responsible for many different neurological disorders. The …

Uncertainty Quantification (UQ) is vital to safety-critical model-based analyses, but the
widespread adoption of sophisticated UQ methods is limited by technical complexity. In this …

The present paper aims at applying uncertainty quantification methodologies to process
simulations of powder bed fusion of metal. In particular, for a part-scale thermomechanical …

In this study, we present an adaptive multilevel Monte Carlo (AMLMC) algorithm for
approximating deterministic, real-valued, bounded linear functionals that depend on the …

In this paper we introduce a Model Order Reduction (MOR) algorithm based on a sparse
grid adaptive refinement, for the approximation of the eigensolutions to parametric problems …

Efficiently pricing multi-asset options is a challenging problem in quantitative finance. When
the characteristic function is available, Fourier-based methods are competitive compared to …

Numerical integration is a basic step in the implementation of more complex numerical
algorithms suitable, for example, to solve ordinary and partial differential equations. The …

In this paper, an alternative to solving Bayesian inverse problems for structural health
monitoring based on a variational formulation with so-called transport maps is examined …

In this paper, we present a novel approach for detecting the discontinuity interfaces of a
discontinuous function. This approach leverages Graph-Informed Neural Networks (GINNs) …