On some stability bounds subject to Hille-Yosida resolvent conditions

DOI10.1007/BF01731989zbMath0849.65062OpenAlexW2038694735MaRDI QIDQ1914874

Jørgen Sand

Publication date: 14 November 1996

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01731989

zbMATH Keywords

numerical stabilityone-step methodstability functionHille-Yosida resolvent condition

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

About the sharpness of the stability estimates in the Kreiss matrix theorem ⋮ A note on the order of contact between sets in the complex plane

Cites Work

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• On resolvent conditions and stability estimates
• Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem
• Stability estimates for families of matrices of nonuniformly bounded order
• Order stars and stability theorems
• Stability and Convergence Rates in $L^p$ for Certain Difference Schemes.

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