High accuracy hybrid formula for \(y= f(x,y)\)

DOI10.1007/BF02677430zbMath0934.65078OpenAlexW2038202761MaRDI QIDQ1299837

Kaili Xiang, Jianxing Liu

Publication date: 3 February 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677430

zbMATH Keywords

oscillating solutionsphase lag orderhybrid multistep method

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)

Cites Work

• Efficient P-stable methods for periodic initial value problems
• Phase properties of high order, almost P-stable formulae
• Two-step fourth-order \(P\)-stable methods with phase-lag of order six for \(y=f(t,y)\)
• Efficient sixth order methods for nonlinear oscillation problems
• High order P-stable formulae for the numerical integration of periodic initial value problems
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Two-step fourth order P-stable methods for second order differential equations

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