Numerical Taylor expansions for invariant manifolds
نویسندگان
چکیده
We consider numerical computation of Taylor expansions of invariant manifolds around equilibria of maps and flows. These are obtained by writing the corresponding functional equation in a number of points, setting up a nonlinear system of equations and solving that using a simplified Newton’s method. This approach will avoid symbolic or explicit numerical differentiation. The linear algebra issues of solving the resulting Sylvester equations are studied in detail. AMS subject classifications: 65Q05 65P, 37M, (secondary) 65P30, 65F20, 15A69
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ورودعنوان ژورنال:
- Numerische Mathematik
دوره 99 شماره
صفحات -
تاریخ انتشار 2004