Numerical Taylor expansions for invariant manifolds

DOI10.1007/s00211-004-0537-6zbMath1063.65139OpenAlexW2150351882MaRDI QIDQ706223

Publication date: 8 February 2005

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-004-0537-6

zbMATH Keywords

fixed points numerical examples Newton-like method flows Sylvester equation smooth manifold block elimination method preservation of sparsity

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Invariant manifold theory for dynamical systems (37D10) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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Uses Software

Algorithm 432

Cites Work