The second-order backward differentiation formula is unconditionally zero-stable

DOI10.1016/0168-9274(89)90030-5zbMath0671.65075OpenAlexW1983883493MaRDI QIDQ1119362

Robert D. Skeel

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(89)90030-5

zbMATH Keywords

truncation errorstep-sizeO-stabilityroundoffs errorsecond order backward differential formula

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)

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Cites Work

• Unnamed Item
• Parallel methods for ordinary differential equations
• Zero-stability properties of the three-ordinate variable stepsize variable formula methods
• The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods
• Construction of Variable-Stepsize Multistep Formulas
• The Effect of Variable Mesh Size on the Stability of Multistep Methods

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