New embedded pairs of explicit Runge-Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems

DOI10.1016/j.physleta.2008.09.014zbMath1225.65072OpenAlexW2005670812MaRDI QIDQ644119

Xin-Yuan Wu, Yong Lei Fang, Yong-Zhong Song

Publication date: 2 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.09.014

zbMATH Keywords

absolute stabilityembedded pairsoscillatory problemsadapted RK methodsFSAL technique

Mathematics Subject Classification ID

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)

Two new embedded pairs of explicit Runge-Kutta methods adapted to the numerical solution of oscillatory problems ⋮ A new optimized Runge-Kutta pair for the numerical solution of the radial Schrödinger equation ⋮ Dirichlet series for dynamical systems of first-order ordinary differential equations ⋮ An optimized Runge-Kutta method for the numerical solution of the radial Schrödinger equation

Cites Work

• Unnamed Item
• Stability and phase-lag analysis of explicit Runge-Kutta methods with variable coefficients for oscillatory problems
• High-order P-stable multistep methods
• An embedded phase-fitted modified Runge-Kutta method for the numerical integration of the radial Schrödinger equation
• An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
• A family of embedded Runge-Kutta formulae
• On the problem of energy equipartition for large systems of the Fermi- Pasta-Ulam type: Analytical and numerical estimates
• Runge-Kutta algorithms for oscillatory problems
• An embedded pair of exponentially fitted explicit Runge-Kutta methods
• Runge-Kutta methods adapted to the numerical integration of oscillatory problems
• Exponentially-fitted explicit Runge-Kutta methods
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Solving Ordinary Differential Equations I
• P-stability and exponential-fitting methods for y = f(x,y)

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