Geodesic
A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds
Informatics and Automation, Dynamical systems and optimization, Tome 256 (2007), pp. 237-251

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We consider the problem of numerical projection onto local stable and local unstable manifolds defined in a neighborhood of a hyperbolic-type trajectory. We propose effective iteration algorithms, prove their convergence, and present the results of numerical calculations for two-dimensional equations of Navier–Stokes type. 
@article{TRSPY_2007_256_a11,
     author = {A. A. Kornev},
     title = {A {Method} of {Graph} {Transformation} {Type} for {Numerical} {Simulation} of {Invariant} {Manifolds}},
     journal = {Informatics and Automation},
     pages = {237--251},
     publisher = {mathdoc},
     volume = {256},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2007_256_a11/}
}
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A. A. Kornev. A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds. Informatics and Automation, Dynamical systems and optimization, Tome 256 (2007), pp. 237-251. http://geodesic.mathdoc.fr/item/TRSPY_2007_256_a11/