Conference abstracts

Session B7 - Numerical Linear Algebra

July 14, 15:00 ~ 15:30

Dynamics via nonlinear pseudospectra

David Bindel

Cornell University, USA   -

Nonlinear eigenvalue problems arise naturally from transform analysis of linear differential and functional differential equations involving effects such as damping, delays, and radiation. But just as linear eigenvalue analysis tells us about asymptotic stability without necessarily providing a full picture of the intermediate transient behavior, so to does nonlinear eigenvalue analysis give an incomplete picture of the dynamics of the associated system. In this talk, we describe how generalizations of pseudospectra and related inclusion regions to the case of nonlinear eigenvalue problems, an show how they can provide information about the non-asymptotic dynamics of systems with radiation and delay.

Joint work with Amanda Hood (Cornell University).

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FoCM 2017, based on a nodethirtythree design.