A family of improved Falkner-type methods for oscillatory systems

DOI10.1016/j.amc.2016.08.046zbMath1411.65088OpenAlexW2511028287MaRDI QIDQ1737167

Jiyong Li

Publication date: 27 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.046

zbMATH Keywords

global error boundsimproved Falkner-type methodsoscillatory second-order differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (2)

Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation ⋮ Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems

Cites Work

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• Galerkin Alternating-Direction Methods for Nonrectangular Regions Using Patch Approximations
• P-stability and exponential-fitting methods for y = f(x,y)
• Geometric Numerical Integration

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