Superstable single-step methods for second-order initial-value problems

DOI10.1016/0377-0427(88)90337-8zbMath0653.65053OpenAlexW2068967193MaRDI QIDQ1107959

Rakesh Goel, Rakesh Jain

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90337-8

zbMATH Keywords

second-order differential equationssuperstabilityimplicit one step 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)

Related Items (2)

Sixth-order superstable two-step methods for second-order initial-value problems ⋮ Superstable implicit Runge-Kutta methods for second order initial value problems

Cites Work

• Unnamed Item
• A fourth order method for y=f(x,y,y')
• Unconditionally stable Noumerov-type methods for second order differential equations
• Superstable two-step methods for the numerical integration of general second order initial value problems
• Symmetric Multistip Methods for Periodic Initial Value Problems

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