We present a numerical model of soil erosion at the basin scale that allows one to describe
surface run-off without a priori identifying drainage zones, river beds and other water bodies …

Rapid flow-like landslides frequently occur in mountainous regions. To mitigate the disasters
caused by these landslides, it is crucial to develop robust numerical models that can …

We introduce a new method to efficiently solve a variant of the Pitman-Le two-phase depth-
integrated system of equations, for the simulation of a fast landslide consolidation process …

We consider a single-phase depth-averaged model for the numerical simulation of fast-
moving landslides with the goal of constructing a well-balanced, yet scalable and efficient …

We propose a mesh adaptation procedure for Cartesian quadtree meshes, to discretize
scalar advection-diffusion-reaction problems. The adaptation process is driven by a recovery …

In this paper, a novel spatial-temporal collocation solver is proposed for the solution of 2D
and 3D long-time diffusion problems with source terms varying over time. In the present …

We introduce a space-time metric-based approach for the best set of spatial meshes M opt
(t) combined with the best set time step τ opt (t) of space-time complexity N st for the …

We propose a scalable well-balanced numerical method to efficiently solve a modified set of
shallow water equations targeting the dynamics of lava flows. The governing equations are …

Landslides are among the most dangerous natural disasters, with their unpredictability and
potential for catastrophic human and economic losses exacerbated by climate change …

We present a two-dimensional semi-conservative variant of the depth-averaged material
point method (DAMPM) for modelling flow-like landslides. The mathematical model is given …