2 papers
math.DS2017
Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof
Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard +1
In this paper, we prove existence of symmetric homoclinic orbits for the suspension bridge equation for all parameter values . For each , a p…
math.DS2015
Rigorous numerics for nonlinear operators with tridiagonal dominant linear part
Maxime Breden, Laurent Desvillettes, Jean-Philippe Lessard
We present a method designed for computing solutions of infinite dimensional non linear operators with a tridiagonal dominant linear part. We recast the operator equatio…