Mathematical content not related to the Work Packages of the DyCon ERC Project.
Propagation of one and two-dimensional discrete waves under finite difference approximation
We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes, and we illustrate that numerical solutions may have unexpected behaviours with respect to the analytic ones.
Structured deformations of continua
A Multiscale Geometrical Basis for Variational Problems in Mechanics
An introduction to the moment method for optimal control problems for polynomial ODEs
The aim of this note is to explain how one can solve an optimal control problem with the moment method
Two Grids Filter Method for RPS Semi-Discretization
This work is regarding solving 1-d wave equation using RPS semi-discretization method and analysis corresponding dispersion relation.
Rays propagation of a fractional Schrodinger Equation
Solution of a fractional Schordinger equation starting from a concentrated and highly oscillatory initial datum, and display of its propagation properties along the rays of geometric optics
WKB expansion for a fractional Schrödinger equation with applications to controllability
Theoretical and numerical analysis of the propagation of the solutions for a Schrödinger equation with fractional Laplacian, with application to the study of controllability properties.
Radial Basis Functions Interpolation
This is a set of Matlab functions to interpolate scattered data with Radial Basis Functions (RBF).