Scale and modify for the second and third order BDF methods

DOI10.1007/s11075-009-9328-6zbMath1184.65069OpenAlexW2014243559MaRDI QIDQ849282

Allison Heard

Publication date: 25 February 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9328-6

zbMATH Keywords

variable stepsize\(L\)-stabilityNordsieck methodsA(O)-stabilitybackward differentiation formula (BDF) methods

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

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• Stability of numerical methods for ordinary differential equations
• On the Stability of Variable-Stepsize Nordsieck BDF Methods
• On the zero-stability of variable stepsize multistep methods: The spectral radius approach