Rigorous Shadowing of Numerical Solutions of Ordinary Differential Equations by Containment

DOI10.1137/S0036142901399100zbMath1059.37013OpenAlexW2157616412MaRDI QIDQ4443677

Wayne Hayes, Kenneth R. Jackson

Publication date: 18 January 2004

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

Full work available at URL: https://doi.org/10.1137/s0036142901399100

zbMATH Keywords

error analysisordinary differential equationdynamical systemshadowingcomputational techniques

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Numerical methods for ordinary differential equations (65L99)

Related Items (3)

An optimization method for chaotic turbulent flow ⋮ Efficient Numerical Shadowing Global Error Estimation for High Dimensional Dissipative Systems ⋮ A survey of shadowing methods for numerical solutions of ordinary differential equations

Uses Software

• pchip
• NAPACK

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