The Upper Bounds for Powers of Linear Operators and Some Applications to the Stability Analysis of Difference Problems

DOI10.1080/10236199808808148zbMath0915.65043OpenAlexW2119935230WikidataQ126248049 ScholiaQ126248049MaRDI QIDQ4222131

Nikolai Yu. Bakaev

Publication date: 16 June 1999

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808148

zbMATH Keywords

stabilityBanach spaceslinear operatorsdifference equationsmoothing operatorsKreiss resolvent condition

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

On the strong Kreiss resolvent condition ⋮ On the uniform Kreiss resolvent condition ⋮ On discrete subordination of power bounded and Ritt operators

Cites Work

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• Stability of the method of lines
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• On a conjecture by LeVeque and Trefethen related to the Kreiss matrix theorem
• On the resolvent condition in the Kreiss matrix theorem
• The stability of rational approximations of analytic semigroups
• A Stability Result for Sectorial Operators in Banach Bpaces
• Order stars and stability theorems
• On Rational Approximations of Semigroups
• A class ofA-stable methods
• A-Stable Methods and Padé Approximations to the Exponential

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