Numerical Shadowing Near Hyperbolic Trajectories

DOI10.1137/0916068zbMath0837.65088OpenAlexW2073919950MaRDI QIDQ4852599

Erik S. Van Vleck

Publication date: 21 May 1996

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1808/17287

zbMATH Keywords

algorithmsdynamical systemserror analysisinitial value problemsparallel implementationone-step methodshyperbolic periodic orbitshadowing error analysis method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Dynamical systems and ergodic theory (37-XX)

Related Items (8)

Global error analysis and inertial manifold reduction ⋮ Efficient Numerical Shadowing Global Error Estimation for High Dimensional Dissipative Systems ⋮ Shadowing-Based Data Assimilation Method for Partially Observed Models ⋮ Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre ⋮ A shadowing-based inflation scheme for ensemble data assimilation ⋮ A survey of shadowing methods for numerical solutions of ordinary differential equations ⋮ Error distribution in randomly perturbed orbits ⋮ A numerical \(C^{1}\)-shadowing result for retarded functional differential equations

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