Accuracy and linear stability of RKN methods for solving second-order stiff problems

DOI10.1016/j.apnum.2008.04.002zbMath1161.65062OpenAlexW1979657133MaRDI QIDQ1012243

J. Martínez

Publication date: 15 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.04.002

zbMATH Keywords

linear stabilitynumerical experimentsaccuracydispersion errordiagonally implicit methodsRunge-Kutta-Nyström (RKN) methodssecond-order stiff problems

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) Error bounds for numerical methods for ordinary differential equations (65L70)

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Uses Software

• RODAS

Cites Work

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