Approximation of operator semigroups of Oharu's class (C(//k))

DOI10.2748/tmj/1178229155zbMath0498.47016OpenAlexW1964320940MaRDI QIDQ1171268

E. Goerlich, D. Pontzen

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229155

zbMATH Keywords

operator semigroupsstability of difference schemescontinuous Trotter theorem on approximation of a (C0)-semigroup by a sequence of semigroupsdiscretization of a certain Cauchy problemsaturation for (C(k))- semigroups

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Groups and semigroups of linear operators (47D03) Saturation in approximation theory (41A40)

Related Items (2)

On approximation by operator semigroups of a general type ⋮ An approximation theorem for semigroups of growth order alpha and an extension of the Trotter-Lie formula

Cites Work

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• Extensions of Trotter's operator semigroup approximation theorems
• Convergence of semi-discrete difference schemes of abstract Cauchy problems
• Semigroups of linear operators in a Banach space
• The characterization problem for best approximation with exponential error orders and evaluation of entropy
• Stability Theory for Partial Difference Operators

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