Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems

DOI10.1007/s11075-017-0303-3zbMath1381.65053OpenAlexW2596198605MaRDI QIDQ679698

Wei Shi, Kai Liu, Xin-Yuan Wu

Publication date: 19 January 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0303-3

zbMATH Keywords

stabilitydissipationdispersionRunge-Kutta-Nyström methodsnumerical experimentsecond-order initial value problemsoscillatory systemsadapted Runge-Kutta-Nyström methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs

Uses Software

• RODAS

Cites Work

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