Operator Semigroups for Convergence Analysis

DOI10.1007/978-3-319-20239-6_4zbMath1359.65081OpenAlexW2140659723MaRDI QIDQ2942183

Petra Csomós, Imre Fekete, István Faragó

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20239-6_4

zbMATH Keywords

convergence analysisnumerical analysisChernoff's theoremoperator semigroupsTrotter-Kato approximation theoremLax equivalence theorem

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Numerical solutions to abstract evolution equations (65J08)

Cites Work

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• Operator splittings and spatial approximations for evolution equations
• Approximation of semi-groups of operators
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• Semigroups of linear operators and applications to partial differential equations
• An extension of the Lax-Richtmyer theory
• Note on product formulas for operator semigroups
• Exponential integrators
• Survey of the stability of linear finite difference equations
• On the Product of Semi-Groups of Operators
• On the Trotter-Lie product formula
• On Rational Approximations of Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Stability of Rational Multistep Approximations of Holomorphic Semigroups

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