Abstract
The notion of absolute stability developed in Chapter 6 for LMMs is equally relevant to RK methods. Applying an RK method to the linear ODE x′(t) = λx(t) with ℜ(λ) < 0, absolute stability requires that x n → 0 as n → ∞.
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© 2010 Springer-Verlag London Limited
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Griffiths, D.F., Higham, D.J. (2010). Runge-Kutta Methods–II Absolute Stability. In: Numerical Methods for Ordinary Differential Equations. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-0-85729-148-6_10
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DOI: https://doi.org/10.1007/978-0-85729-148-6_10
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