Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems

DOI10.1016/j.apnum.2016.11.002zbMath1355.65097OpenAlexW2555609410MaRDI QIDQ729986

Jiyong Li, Xianfen Wang

Publication date: 23 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.11.002

zbMATH Keywords

order conditionsexplicit methodsnumerical resultB-seriesmulti-step Runge-Kutta-Nyström methodsspecial Nyström-seriesspecial second-order initial value problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

Multi-step Nyström methods for general second-order initial value problemsy″(t) =f(t,y(t),y′(t)) ⋮ Trigonometrically fitted multi-step RKN methods for second-order oscillatory initial value problems ⋮ EQUAL ORDER BLOCK METHODS FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS ⋮ Adaptive multi-step Runge-Kutta-Nyström methods for general second-order ordinary differential equations

Uses Software

• RODAS

Cites Work

• Unnamed Item
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• The Order of Numerical Methods for Ordinary Differential Equations
• Order conditions for a class of two-step methods for y = f (x, y)
• P-stability and exponential-fitting methods for y = f(x,y)
• Geometric Numerical Integration
• An Algebraic Theory of Integration Methods

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