Abstract
The characterization ofA-stable methods is often considered as a very difficult task (see e.g. [1]). In recent years, simple proofs have been found for methods of orderp≧2m-2 (see [2], [3], [7]). In this paper, we characterize theA-acceptable approximations of orderp ≧2m-4 and apply the result to 12-parameter families of implicit Runge-Kutta methods.
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Wanner, G. Characterization of allA-stable methods of order 2m-4. BIT 20, 367–374 (1980). https://doi.org/10.1007/BF01932779
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DOI: https://doi.org/10.1007/BF01932779