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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1994-1201070-9
PII: S 0025-5718(1994)1201070-9
Keywords: Holomorphic semigroups, sectorial operators, Banach spaces, rational approximation, strongly $ {\text{A}}(\theta )$-acceptable, stability, variable stepsizes
Article copyright: © Copyright 1994 American Mathematical Society