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

Author: C. Palencia
Journal: Math. Comp. 62 (1994), 93-103
MSC: Primary 47D06; Secondary 34G10, 65J10, 65L99, 65M12
DOI: https://doi.org/10.1090/S0025-5718-1994-1201070-9
MathSciNet review: 1201070
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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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