Michael E. Henderson

I am recently retired from IBM Research. My work centers on computational methods for nonlinear dynamics, and continuation methods in particular. I have a B.S. in Engineering Science from Penn State, and a Ph.D. in Applied Mathematics from Caltech. The work described below is available as an Open Source code multifario.

Research

Continuation Methods for Manifolds

Implicitly Defined Manifolds,

$F(u)=0$

Invariant Manifolds,

$$u'=F(u),$$ $$\Omega(u(0))=0$$

Sampled Manifolds defined by Point Clouds,

$$\left\{u_i\right\}$$