A necessary condition for $A$-stability of multistep multiderivative methods

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A Necessary Condition for ^ 4 - Stability of Multistep Multiderivative Methods

The region of absolute stability of multistep multiderivative methods is studied in a neighborhood of the origin. This leads to a necessary condition for Astability. For methods where p(f)/(f 1) has no roots of modulus 1 this condition can be checked very easily. For Hermite interpolatory and Adams type methods a necessary condition for A -stability is found which depends only on the error orde...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1976

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-1976-0431690-x