Abstract
For linear multistep methods sufficient conditions are derived such that the numerical solutions of stable nonlinear initial value problems in Banach spaces are also stable.
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Vanselow, R. Nonlinear stability behaviour of linear multistep methods. BIT 23, 388–396 (1983). https://doi.org/10.1007/BF01934467
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DOI: https://doi.org/10.1007/BF01934467