On the stability of variable stepsize rational approximations of holomorphic semigroups

Palencia, C.

doi:10.1090/S0025-5718-1994-1201070-9

On the stability of variable stepsize rational approximations of holomorphic semigroups
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Math. Comp. 62 (1994), 93-103 Request permission

Abstract:

We consider variable stepsize time approximations of holomorphic semigroups on general Banach spaces. For strongly ${\text {A}}(\theta )$-acceptable rational functions a general stability theorem is proved, which does not impose any constraint on the ratios between stepsizes.

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