Structural Stability for the Euler Method

DOI10.1137/S0036141097322558zbMath0931.37009OpenAlexW2016713195MaRDI QIDQ4255794

Ming-Chia Li

Publication date: 27 June 1999

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141097322558

zbMATH Keywords

numerical methodfixed pointsstructural stabilityEuler methodhyperbolicityinvariant manifoldstrong transversalitychain recurrent set

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Orbit growth in dynamical systems (37C35) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05)

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