A step-size selection strategy for explicit Runge-Kutta methods based on Lyapunov exponent theory
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Publication:495103
DOI10.1016/j.cam.2015.03.056zbMath1329.65154OpenAlexW1977603738MaRDI QIDQ495103
Andrew J. Steyer, Erik S. Van Vleck
Publication date: 9 September 2015
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2015.03.056
Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Topological dynamics of nonautonomous systems (37B55)
Related Items (3)
Underlying one-step methods and nonautonomous stability of general linear methods ⋮ A Very Simple Method to Calculate the (Positive) Largest Lyapunov Exponent Using Interval Extensions ⋮ On the use of interval extensions to estimate the largest Lyapunov exponent from chaotic data
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