Global errors of numerical ODE solvers and Lyapunov's theory of stability

DOI10.1093/imanum/21.1.387zbMath0980.65080arXivmath/9904136OpenAlexW2073141739MaRDI QIDQ2713134

Divakar Viswanath

Publication date: 10 March 2002

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904136

zbMATH Keywords

linear systemnonlinear systemsLyapunov stabilityconditioningerror controlglobal errors

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (3)

Adaptivity and computational complexity in the numerical solution of ODEs ⋮ Uniform approximation of trajectories maximal to the right under the condition of asymptotic integral stability ⋮ Asymptotic error in Euler's method with a constant step size

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