J.D. Mireles James
Florida Atlantic University
Research interests include:
Department of Mathematical Sciences
- The computer as the mathematician's "laboratory" for studying global dynamics of nonlinear systems. I'm especially interested in the computation and visualization of smooth invariant manifolds.
- Reformulation of qualitative questions about nonlinear dynamical systems into quantitative functional equations, and numerical methods for studying these functional equations.
- Rigorous numerical methods and computer assisted proof in analysis, especially constructive a-posteriori existence (or "shadowing") theorems for invariant manifolds, connecting dynamics, and chaotic motions.
Seminar: Professor Erik Lundberg and I organize the Analysis and Applications Seminar in the Department of Mathematical Sciences at FAU. Here is a link to the seminar page: