6 citations · 7 across the 2 of their papers we have counts for
2 papers
math.DS2022★ 1 cited
Finite Element Approximation of Invariant Manifolds by the Parameterization Method
Jorge Gonzalez, J. D Mireles-James, Necibe Tuncer
We combine the parameterization method for invariant manifolds with the finite element method for elliptic PDEs,to obtain a new computational framework for high order approximation…
math.DS2021★ 6 cited
Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds
Maciej J. Capinski, Jorge Gonzalez, Jean-Pierre Marco +1
Normally hyperbolic invariant manifolds theory provides an efficient tool for proving diffusion in dynamical systems. In this paper we develop a methodology for computer assisted p…