Asymptotic expansions and convergence rates for Euler's approximations of semigroups

DOI10.1007/s10986-009-9047-7zbMath1200.47053OpenAlexW2030296386MaRDI QIDQ1044748

Vidmantas Bentkus

Publication date: 15 December 2009

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-009-9047-7

zbMATH Keywords

asymptotic expansionconvergence rateEuler approximationholomorphic semigroupsdifferentiable semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Cites Work

• Optimal error estimates in operator-norm approximations of semigroups
• Quasi-sectorial contractions
• Semigroups of linear operators and applications to partial differential equations
• On operator-norm approximation of some semigroups by quasi-sectorial operators.
• Euler's exponential formula for semigroups
• A new method for approximations in probability and operator theories
• Another approach to asymptotic expansions for Euler's approximations of semigroups
• Operator-norm approximation of semigroups by quasi-sectorial contractions
• The norm convergence of the Trotter-Kato product formula with error bound
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