Various closeness concepts in numerical ODE's

DOI10.1016/0898-1221(95)00223-5zbMath0880.65052OpenAlexW2043055037MaRDI QIDQ1361282

Barnabas M. Garay

Publication date: 22 January 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00223-5

zbMATH Keywords

periodic orbitscounterexamplesconjecturesdifferentiable dynamicscloseness conceptsequivalence concept

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems and ergodic theory (37-XX)

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Cites Work

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• Aspects of backward error analysis of numerical ODEs
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• Shadows, chaos, and saddles
• Discretization of semilinear differential equations with an exponential dichotomy
• On invariant closed curves for one-step methods
• On structural stability of ordinary differential equations with respect to discretization methods
• On the Numerical Approximation of Phase Portraits Near Stationary Points
• The discretized flow on domains of attraction: a structural stability result

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