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• W2012068782 abstract "The task of constructing higher-dimensional invariant manifolds for dynamical systems can be computationally expensive. We demonstrate that this problem can be locally reduced to solving a system of quasi-linear PDEs, which can be efficiently solved in an Eulerian framework. We construct a fast numerical method for solving the resulting system of discretized nonlinear equations. The efficiency stems from decoupling the system and ordering the computations to take advantage of the direction of information flow. We illustrate our approach by constructing two-dimensional invariant manifolds of hyperbolic equilibria in $R^3$ and $R^4$." @default.
• W2012068782 created "2016-06-24" @default.
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• W2012068782 date "2004-01-01" @default.
• W2012068782 modified "2023-10-16" @default.
• W2012068782 title "A Fast Method for Approximating Invariant Manifolds" @default.
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• W2012068782 doi "https://doi.org/10.1137/030600179" @default.
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