Persistence of normal hyperbolicity for partial differential equations under discretizations

DOI10.1002/ZAMM.200310037zbMath1099.35006OpenAlexW2069260309MaRDI QIDQ4432796

Ming-Chia Li

Publication date: 29 October 2003

Published in: ZAMM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200310037

zbMATH Keywords

normal hyperbolicitypartial differential equationtime-discrete approximation

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Approximation methods and numerical treatment of dynamical systems (37M99)

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Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations ⋮ Stability of a saddle node bifurcation under numerical approximations

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