Abstract
The first stability results for nonlinear differential equations and multistep methods are fairly old (Liniger 1956, Dahlquist 1963), older than similar studies for Runge-Kutta methods.
... the error analysis is simpler to formulate for one-leg methods than for linear multistep methods. (G. Dahlquist 1975)
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© 1996 Springer-Verlag Berlin Heidelberg
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Hairer, E., Wanner, G. (1996). One-Leg Methods and G-Stability. In: Solving Ordinary Differential Equations II. Springer Series in Computational Mathematics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05221-7_21
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DOI: https://doi.org/10.1007/978-3-642-05221-7_21
Publisher Name: Springer, Berlin, Heidelberg
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