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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 256, Pages 237–251 (Mi tm464)  
This article is cited in 3 scientific papers (total in 3 papers)

A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds

A. A. Kornev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (404 kB) Citations (3)
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Abstract: 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.
Received in February 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 256, Pages 223–237
DOI: https://doi.org/10.1134/S0081543807010129
Bibliographic databases:
UDC: 519.6
Language: Russian
Citation: A. A. Kornev, “A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds”, Dynamical systems and optimization, Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 256, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 237–251; Proc. Steklov Inst. Math., 256 (2007), 223–237
Citation in format AMSBIB
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\by A.~A.~Kornev
\paper A Method of Graph Transformation Type for Numerical Simulation of Invariant Manifolds
\inbook Dynamical systems and optimization
\bookinfo Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 256
\pages 237--251
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm464}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336902}
\zmath{https://zbmath.org/?q=an:1153.37450}
\elib{https://elibrary.ru/item.asp?id=9482617}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 256
\pages 223--237
\crossref{https://doi.org/10.1134/S0081543807010129}
\elib{https://elibrary.ru/item.asp?id=13560220}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248385333}
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    • This publication is cited in the following 3 articles:
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