On the stability of a two-step method for solving periodic IVPs

DOI10.1016/j.amc.2004.04.092zbMath1070.65068OpenAlexW2092188662MaRDI QIDQ1780475

Qinghong Li

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.092

zbMATH Keywords

\(P\)-stabilityPhase-lagInterval of periodicityPeriodic initial value problemVector product quotient

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)

Related Items (4)

Piecewise-linearized methods for initial-value problems with oscillating solutions ⋮ A class of two-step explicit methods for periodic IVPs ⋮ Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods ⋮ Two-step explicit methods for second-order IVPs with oscillatory solutions

Cites Work

• Unconditionally stable explicit methods for parabolic equations
• A two-step explicit \(P\)-stable method for solving second order initial value problems.
• The vector form of a sixth-order \(A\)-stable explicit one-step method for stiff problems
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
• A one-step method for direct integration of structural dynamic equations
• Symmetric Multistip Methods for Periodic Initial Value Problems
• On finite difference methods for the solution of the Schrödinger equation

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