Rational approximation of holomorphic semigroups revisited

2024/03/23 by Batty, Charles, Gomilko, Alexander, Tomilov, Yuri · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2403.15894

Abstract

Using a recently developed \mathcal H-calculus we propose a unified approach to the study of rational approximations of holomorphic semigroups on Banach spaces. We provide unified and simple proofs to a number of basic results on semigroup approximations and substantially improve some of them. We show that many of our estimates are essentially optimal, thus complementing the existing literature.

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• Discrete stochastic maximal regularity

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