In this paper, we develop an entropy-conservative discontinuous Galerkin (DG) method for
the shallow water (SW) equation with random inputs. One of the most popular methods for …

This paper investigates the impact of uncertainty on the reinterpreted discrete fracture model
(RDFM) for flow in porous media featuring fractures and barriers. The stochastic RDMF is …

The shallow water flow model is widely used to describe water flows in rivers, lakes, and
coastal areas. Accounting for uncertainty in the corresponding transport-dominated …

We propose a numerical method to solve parameter-dependent scalar hyperbolic partial
differential equations (PDEs) with a moment approach, based on a previous work from Marx …

In this paper, we develop new high-order numerical methods for hyperbolic systems of
nonlinear partial differential equations (PDEs) with uncertainties. The new approach is …

Shallow water equations (SWE) are fundamental nonlinear hyperbolic PDE-based models
in fluid dynamics that are essential for studying a wide range of geophysical and …

The study of uncertainty propagation poses a great challenge to design high fidelity
numerical methods. Based on the stochastic Galerkin formulation, this paper addresses the …