Long-term stability of variable stepsize approximations of semigroups
نویسندگان
چکیده
منابع مشابه
Long-term stability of variable stepsize approximations of semigroups
This paper is concerned with the stability of rational one-step approximations of C0 semigroups. Particular emphasis is laid on long-term stability bounds. The analysis is based on a general Banach space framework and allows variable stepsize sequences. Under reasonable assumptions on the stepsize sequence, asymptotic stability bounds for general C0 semigroups are derived. The bounds are typica...
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15 صفحه اولThe Stability of Rational Approximations of Analytic Semigroups
It is shown that A-acceptable and, more generally, A()-acceptablerational approximations of bounded analytic semigroups in Banach space are stable. The result applies, in particular, to the Crank-Nicolson method.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2001
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-01-01389-8