Neural operators map multiple functions to different functions, possibly in different spaces,
unlike standard neural networks. Hence, neural operators allow the solution of parametric …

The resolutions of interests in atmospheric simulations require prohibitively large
computational resources. Adaptive mesh refinement (AMR) tries to mitigate this problem by …

The accuracy and efficiency of an Eulerian method is assessed by solving the non-linear
shallow water equations and compared with the performances of an existing semi …

Summary¶ Currently available computer power allows to run operational numerical weather
prediction models at resolutions higher than 10 km. The aim of such high resolution …

We derive a moving mesh method based upon ideas from optimal transport theory which is
suited to solving PDE problems in meteorology. In particular we show how the Parabolic …

This paper proposes a new grid-free adaptive advection scheme. The resulting algorithm is
a combination of the semi-Lagrangian method (SLM) and the grid-free radial basis function …

The main aim of the present paper was to present a user friendly approach based on
homotopy analysis transform method to solve a time-fractional nonlinear shock wave …

Numerical simulations are used to evaluate the impact of adaptive meshes on the two-
dimensional lock-exchange flow. In particular, the diapycnal mixing is quantified through …

Flooding from storm surges, rainfall-runoff, and their interaction into compounding events
are major natural hazards in coastal regions. To assess risks of damages to life and …

A Three-Dimensional, Adaptive, Godunov-Type Model for Global Atmospheric Flows in:
Monthly Weather Review Volume 131 Issue 8 (2003) Jump to Content Jump to Main Navigation …