Numerical Continuation (or Path Following) is concerned with the tracing out of paths of solutions to nonlinear problems as a parameter is varied. The technique originates from methods for computing stress-strain relationships in structural engineering. It has developed into a powerful tool for the investigation of solutions of nonlinear systems of algebraic or differential equations arising in all manner of applications. A key related concept is that of bifurcation detection, that is, determining parameter values at which the number or nature (e.g. stability) of solutions change.
In the first seminar, the basic concepts behind numerical continuation will be discussed - other seminars in the series will highlight novel applications and extensions of the fundamental ideas.
:Local information on the continuation code AUTO
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