Enclosing of the Image of a Sphere by a Nonlinear Function Using Parallelepipeds

Speaker:
Maël Godard (ENSTA, Lab-STICC, Brest, France)
Abstract:
In this presentation, we propose to use parallelepipeds to enclose the image of a sphere by a nonlinear function, with examples in two and three dimensions.
We will consider the cases where the function is known, and when it is the flow function of a dynamical system. The CAPD library will be used for guaranteed integration when needed, in combination with the CODAC library.