Abstract
Daniel and Moore [4] conjectured that anA-stable multistep method using higher derivatives cannot have an error order exceeding 2l. We confirm partly this conjecture by showing that for a large class ofA-stable methods the error order can not be 2l+1 mod 4. This extends results found in Jeltsch [13].
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Jeltsch, R. Note onA-stability of multistep multiderivative methods. BIT 16, 74–78 (1976). https://doi.org/10.1007/BF01940779
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DOI: https://doi.org/10.1007/BF01940779