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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.
Continuation Methods for Manifolds
$F(u)=0$ |
$$u'=F(u),$$ $$\Omega(u(0))=0$$ |
Sampled Manifolds defined by Point Clouds,
$$\left\{u_i\right\}$$ |