A family of Houbolt methods for dynamic vibration problems

DOI10.1002/nag.1610070305zbMath0523.65056OpenAlexW2021023742MaRDI QIDQ3673967

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Publication date: 1983

Published in: International Journal for Numerical and Analytical Methods in Geomechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nag.1610070305

zbMATH Keywords

Houbolt methodstiff systemsbackward differentiation formulanumerical comparisondynamic vibration problemssecond derivative multistep formulaevariable order variable step

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Stability for problems in linear vibration theory (70J25) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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