Approximation of operator semigroups using linear-fractional operator functions and weighted averages

DOI10.1134/S0016266322020058OpenAlexW4312942424MaRDI QIDQ2080916

Jemal L. Rogava

Publication date: 12 October 2022

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266322020058

zbMATH Keywords

analytic semigroupapproximation of semigroupTrotter-Chernoff formula

Mathematics Subject Classification ID

Groups and semigroups of linear operators, their generalizations and applications (47Dxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal error estimates in operator-norm approximations of semigroups
• On error estimates for the Trotter-Kato product formula
• Error bounds for Trotter-type formulas for self-adjoint operators
• Trotter--Kato product formula and fractional powers of self-adjoint generators.
• On convergence rates in approximation theory for operator semigroups
• Numerical range and quasi-sectorial contractions
• Note on product formulas for operator semigroups
• On the Product of Semi-Groups of Operators
• High degree precision decomposition method for the evolution problem with an operator under a split form
• The fourth order accuracy decomposition scheme for an evolution problem
• Semigroup product formulas and addition of unbounded operators
• Operator-norm approximation of semigroups by quasi-sectorial contractions
• The norm convergence of the Trotter-Kato product formula with error bound
• Note on the paper: ``The norm convergence of the Trotter--Kato product formula with error bound by T. Ichinose and H. Tamura.

This page was built for publication: Approximation of operator semigroups using linear-fractional operator functions and weighted averages