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 | References | Similar Articles | Additional Information
Abstract: We consider variable stepsize time approximations of holomorphic semigroups on general Banach spaces. For strongly -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:
https://doi.org/10.1090/S0025-5718-1994-1201070-9
Keywords:
Holomorphic semigroups,
sectorial operators,
Banach spaces,
rational approximation,
strongly -acceptable,
stability,
variable stepsizes
Article copyright:
© Copyright 1994
American Mathematical Society