A class of explicit two-step superstable methods for second-order linear initial value problems

DOI10.1080/00207160701871843zbMath1169.65323OpenAlexW2022254833MaRDI QIDQ5323218

Godfrey Saldanha, Donna Jennifer Saldanha

Publication date: 23 July 2009

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

Full work available at URL: https://doi.org/10.1080/00207160701871843

zbMATH Keywords

numerical examplescollocationsuperstabilityinterval of periodicityregion of absolute stabilityexplicit two-step methodsinterval of weak stabilitysecond-order linear initial value problems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems ⋮ Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs ⋮ On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem ⋮ On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh

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