Lectures related to Ruelle Resonances for Linear Pseudo-Anosov Maps

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Covers elliptic problems related to a model and deformation, discussing concepts such as the model problem and deformation energy.

Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.

Discusses bases in vector spaces of known dimension and how to determine if a given set is a base.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Explores MHD equilibrium and stability, emphasizing energy considerations for determining stability.

Explores the Rank Theorem in linear algebra, covering matrix properties and determinants.