Abstract
In Sections IV.12 and V.6 we have studied the nonlinear stability of Runge-Kutta methods (B -stability) and of one-leg methods (G-stability). It is natural to ask whether these theories can be combined within the class of general linear methods. This work was initiated by Burrage & Butcher (1980).
General linear methods were originally introduced as a means of unifying and generalizing existing theories for traditional methods.
(J.C. Butcher 1987)
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© 1996 Springer-Verlag Berlin Heidelberg
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Hairer, E., Wanner, G. (1996). Algebraic Stability of General Linear Methods. 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_24
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DOI: https://doi.org/10.1007/978-3-642-05221-7_24
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