On the numerical approximability of stable dynamical systems

DOI10.1007/s10013-018-0297-8zbMath1405.65084OpenAlexW2799568328MaRDI QIDQ1633766

Rolf Rannacher

Publication date: 20 December 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-018-0297-8

zbMATH Keywords

exponential stabilitytime-stepping schemesdiscrete stabilityglobal error estimatesquasi-exponential stabilitystable dynamical systemsstationary limits

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) 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) Error bounds for numerical methods for ordinary differential equations (65L70)

Uses Software

• RODAS

Cites Work

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• On the stability of backward differentiation methods
• Solving Ordinary Differential Equations I
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• An analysis of stability concepts for the Navier-Stokes equations.
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
• On the numerical integration of nonlinear initial value problems by linear multistep methods
• Solving Ordinary Differential Equations II
• Geometric Numerical Integration

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