Centre Inria d'Université Côte d'Azur

Error Estimates for the Interpolation and Approximation of Gradients and Vector Fields on Protected Delaunay Meshes in $$\mathbb {R}^{d}$$

Abstract One frequently needs to interpolate or approximate gradients on simplicial meshes. Unfortunately, there are very few explicit mathematical results governing the interpolation or approximation of vector-valued functions on Delaunay meshes in more than two dimensions. Most...

A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters

Abstract This paper provides a functional analytic approach to differential equations on Banach spaces with slowly evolving parameters. We develop a Fenichel-like theory for attracting subsets of critical manifolds via a Lyapunov–Perron method. This functional analytic approach t...