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A second order semi-Lagrangian discretization of the advection-diffusion-reaction equation

Advection-diffusion-reaction equations have a moltitudine of applications, such as in climate, water and air quality models, or in short and medium range weather forecasting. Due to the potentially ve...

Order reduction methods for solving large-scale nonlinear differential matrix equations

Nonlinear differential matrix equations generally stem from the semi-discretization on a rectangular grid of nonlinear partial differential equations (PDEs). The two main challenges related to approxi...

Ginzburg-Landau functionals for a general compact vacuum manifold on planar domains

ANNULLATO Ginzburg–Landau type functionals provide a relaxation scheme to construct harmonic maps in the presence of topological obstructions. They arise in superconductivity models, in liquid crystal...