On the bounds of approximations of holomorphic semigroups

DOI10.1007/BF01739830zbMath0840.65044OpenAlexW2151270526MaRDI QIDQ1907878

Nikolai Yu. Bakaev

Publication date: 13 February 1996

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01739830

zbMATH Keywords

diagonal Padé approximantslinear operatorholomorphic semigroupsvariable stepsize approximations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

Unnamed Item, Remarks on the rational approximation of holomorphic semigroups with nonuniform partitions, On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation, Estimates of variable stepsize Runge-Kutta methods for sectorial evolution equations with nonsmooth data

Cites Work

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• On resolvent conditions and stability estimates
• On multistep approximation of semigroups in Banach spaces
• Some problems of well-posedness of difference schemes on non-uniform grids
• The stability of rational approximations of analytic semigroups
• A Stability Result for Sectorial Operators in Banach Bpaces
• On Rational Approximations of Semigroups
• On the Stability of Variable Stepsize Rational Approximations of Holomorphic Semigroups