Numerical continuation is a method of computing approximate solutions of a system of parameterized nonlinear equations,
The parameter is usually a real scalar, and the solution an n-vector. For a fixed parameter value, maps Euclidean n-space into itself.
Often the original mapping is from a Banach space into itself, and the Euclidean n-space is a finite dimensional approximation to the Banach space.
A steady state, or fixed point, of a parameterized family of flows or maps are of this form, and by discretizing trajectories of a flow or iterating a map, periodic orbits and heteroclinic orbits can also be posed as a solution of .
Read more about Numerical Continuation: Other Forms, Periodic Motions, Homoclinic and Heteroclinic Motions, Continuation in More Than One Parameter, Applications of Numerical Continuation Techniques, Software, Examples
Famous quotes containing the words numerical and/or continuation:
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—Ralph Waldo Emerson (1803–1882)
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