About: Numerical continuation

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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 Banach space.

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  • 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 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 . (en)
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  • 9752560 (xsd:integer)
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  • July 2017 (en)
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  • if t is a scalar, Omega should be a scalar, or otherwise a definition for the addition of scalars and vectors would be welcome (en)
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  • 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 Banach space. (en)
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  • Numerical continuation (en)
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