Unconditional stable methods for second order ordinary differential equations

DOI10.1080/00207169208804038zbMath0747.65058OpenAlexW2084976768MaRDI QIDQ3989778

L. E. Garey, C. J. Gladwin

Publication date: 28 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804038

zbMATH Keywords

Cauchy problemsecond order equationtest equationsmulti-derivative multi-step methodnon-symmetric characteristic polynomialunconditional second order stability

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)

Related Items (3)

Unconditionally stable methods for second-order Fredholm integro-differential equations ⋮ Unconditionally stable predictor-corrector methods for second order ordinary differential equations ⋮ Algorithms for the solution of second order Volterra integro-differential equations

Cites Work

• Unconditionally stable Noumerov-type methods for second order differential equations
• \(E\)-stable methods for exponentially decreasing solutions of second order initial value problems
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Symmetric Multistip Methods for Periodic Initial Value Problems
• On Linear Difference Equations
• Finite Difference Forms Containing Derivatives of Higher Order
• A special stability problem for linear multistep methods
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