Convergence of subdiagonal Padé approximations of \(C _{0}\)-semigroups

DOI10.1007/s00028-013-0207-1zbMath1304.47052arXiv1210.8408OpenAlexW3101949530MaRDI QIDQ2441324

Moritz Egert, Jan Rozendaal

Publication date: 24 March 2014

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.8408

zbMATH Keywords

inverse Laplace transformrational approximationfunctional calculusPadé approximantoperator semigroup\(\gamma\)-boundedness

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Padé approximation (41A21) Laplace transform (44A10) Rate of convergence, degree of approximation (41A25) Numerical solutions to abstract evolution equations (65J08)

Related Items

On subdiagonal rational Padé approximations and the Brenner-Thomée approximation theorem for operator semigroups ⋮ On measuring unboundedness of the \(H^\infty\)-calculus for generators of analytic semigroups ⋮ \(C_0\)-semigroups and resolvent operators approximated by Laguerre expansions ⋮ Discrete maximal parabolic regularity for Galerkin finite element methods ⋮ On convergence rates in approximation theory for operator semigroups ⋮ A general approach to approximation theory of operator semigroups ⋮ Operator-valued \((L^p, L^q)\) Fourier multipliers and stability theory for evolution equations

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rational approximations of semigroups without scaling and squaring
• Transference principles for semigroups and a theorem of Peller
• Rational inversion of the Laplace transform
• On subdiagonal rational Padé approximations and the Brenner-Thomée approximation theorem for operator semigroups
• Functional calculus for semigroup generators via transference
• A remark on the norm of integer order Favard spaces
• The functional calculus for sectorial operators
• The H∞-Functional Calculus and Square Function Estimates
• Vector-valued Laplace Transforms and Cauchy Problems
• $\gamma$-Radonifying operators -- a survey
• On Rational Approximations of Semigroups
• A-Stable Methods and Padé Approximations to the Exponential
• Finite-Element Methods for a Strongly Damped Wave Equation
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity